/15*c = 0. Calculate c.
-2, -1/3, 0, 1, 11
Suppose -5*a + 3*j - 763 = -775, -1 = -a + 2*j. Let 21/4*f**a + 0 - 19/2*f**2 - 5/2*f**5 + 0*f + 189/4*f**4 = 0. What is f?
-1/2, 0, 2/5, 19
Let y = 2/175601 + 1404790/1580409. Factor -2*b**3 + 4/9*b**4 + 0 - y*b + 8/3*b**2.
2*b*(b - 2)**2*(2*b - 1)/9
Let t = 934 + -929. Let v(g) be the third derivative of -7/90*g**t - 2/3*g**3 + 23/36*g**4 + 0 + 0*g - 5*g**2. Factor v(i).
-2*(i - 3)*(7*i - 2)/3
Solve -360*b**2 + 21*b**3 - 486/7 - 2241/7*b = 0 for b.
-3/7, 18
Let b(q) be the first derivative of -q**4/4 + 12*q**3 - 216*q**2 - 37*q - 89. Let n(m) be the first derivative of b(m). Determine o, given that n(o) = 0.
12
Determine k so that -32 - 88*k - 7*k**3 - 4*k**4 - 1054*k**2 + 451*k**2 + 0*k**4 - 25*k**3 + 519*k**2 = 0.
-4, -2, -1
Let d be 711/14*(-329)/(-564). Find k, given that -18*k + 3/8*k**5 + d*k**2 + 141/8*k**3 - 45/8*k**4 - 24 = 0.
-1, 1, 8
Let d(j) be the second derivative of -5*j**7/42 - 8*j**6/3 + 27*j**5/2 - 70*j**4/3 + 95*j**3/6 - 2383*j. Factor d(k).
-5*k*(k - 1)**3*(k + 19)
Suppose 49*z - 16*z = 35*z + 23*z. Factor -2/19*y**3 + 0 + z*y - 6/19*y**2.
-2*y**2*(y + 3)/19
Let x be 2 + (2 - 9) + 48/16. Let v be (6/2 + 9 + -12)/x. Solve -o - 35/2*o**4 + 5*o**2 - 49/4*o**5 + 3/4*o**3 + v = 0.
-1, 0, 2/7
Let y(c) be the second derivative of -5*c**4/12 - 2150*c**3 - 4160250*c**2 - 732*c + 2. Factor y(b).
-5*(b + 1290)**2
Let d(s) be the first derivative of 1784*s**3 - 14*s**2 - s**2 + 2*s**4 - 1792*s**3 - 8*s - 64 + 0*s. Factor d(z).
2*(z - 4)*(2*z + 1)**2
Factor -2/9*c**4 + 128/9*c**3 + 262/9*c**2 + 0 + 44/3*c.
-2*c*(c - 66)*(c + 1)**2/9
Let w(d) be the first derivative of d**5/3 - 55*d**4/4 + 135*d**3 - 1125*d**2/2 + 1080*d + 1429. Suppose w(k) = 0. What is k?
3, 24
Suppose 12*p = 5*p + 203. Suppose 5*h - p = -2*g, 5*h + 0*h = g + 23. What is q in -6 - 3*q**g - 7 + 24 + 4 - 12*q = 0?
-5, 1
Suppose 7*i = -0 + 14. Factor -75*p**2 - 2*p + i*p - 33 + 30*p + 78*p**2.
3*(p - 1)*(p + 11)
Let z be (-18*6/(-189))/(3/21). Let o(s) be the first derivative of 1/3*s**5 + 5/3*s**3 - 20 - 5/6*s**2 + 0*s - 5/4*s**z. Let o(g) = 0. Calculate g.
0, 1
Suppose -9*o - 14 = -4*f - 7*o, -5*f + 22 = -4*o. Factor -3*j**f + 4*j**3 - 4*j**2 - 3*j**3 + 9*j**2.
j**2*(j + 2)
Let o = 699 + -641. Let n = -54 + o. Let -2*u + n - 1/2*u**4 + 5/2*u**3 - 3*u**2 = 0. Calculate u.
-1, 2
Let s(l) be the first derivative of -675/2*l + 15/2*l**2 + 193 - 1/18*l**3. Let s(y) = 0. Calculate y.
45
Let c = 17/52038 - -133795/52038. Factor -4/7*i**2 + 2/7 + c*i**4 - 24/7*i**3 + 8/7*i.
2*(i - 1)**2*(3*i + 1)**2/7
Let c(y) = 4*y - 18. Let m = 2875 + -2874. Suppose -4*q + 18 = -3*u + 2*u, 2*q = 2*u + 6. Let p(s) = s**2 + 1. Let o(d) = m*c(d) + u*p(d). Factor o(g).
2*(g - 2)*(g + 4)
Let i(s) be the first derivative of -s**3/6 + 165*s**2/4 - 2640. Let i(k) = 0. Calculate k.
0, 165
Let h be 910/50 + (-3)/15. Let r be (4/h)/(5/(-270)*-6). Factor -4/3*p + 2/3*p**r + 0.
2*p*(p - 2)/3
Determine v, given that 157922/17 + 1124/17*v + 2/17*v**2 = 0.
-281
Suppose -3*s + 3*p + 9 = -12, -s - 3*p - 9 = 0. Factor -255*f + 169 + 57 + 65*f**2 + 24 - 5*f**s - 36 + 101.
-5*(f - 7)*(f - 3)**2
Let l(b) be the second derivative of 7*b**6/10 - 3*b**5/20 - 189*b**4/4 - 351*b**3/2 + 81*b**2 - 3*b - 630. Factor l(u).
3*(u - 6)*(u + 3)**2*(7*u - 1)
Let a(h) be the third derivative of -3*h**2 - 42 - 21/10*h**3 + 0*h + 1/100*h**5 + 1/2*h**4. Determine x, given that a(x) = 0.
-21, 1
Determine x so that 213/4*x - 53 - 1/4*x**2 = 0.
1, 212
Let -128*g**2 - 2/19*g**3 + 9752/19*g - 9760/19 = 0. What is g?
-1220, 2
Let r = 619 - 616. Let u(n) be the second derivative of -2/195*n**6 + 0 + 2/39*n**r - 4*n - 3/130*n**5 + 1/26*n**4 + 0*n**2. Determine o so that u(o) = 0.
-2, -1/2, 0, 1
Find t such that 13/5*t**4 + 8/5*t**2 - 11*t**5 + 34/5*t**3 + 0 + 0*t = 0.
-2/5, -4/11, 0, 1
Let y(i) be the first derivative of 4*i**2 + 2 - 1/6*i**3 + 17/2*i. Find a such that y(a) = 0.
-1, 17
Factor 2/5*n**2 + 216/5*n + 832/5.
2*(n + 4)*(n + 104)/5
Let h(y) be the first derivative of -y**7/168 - y**6/60 - 40*y + 33. Let k(w) be the first derivative of h(w). Solve k(o) = 0 for o.
-2, 0
Let o(a) be the second derivative of -a**5/20 + 23*a**4/12 + a**3/6 - 2*a**2 + 13*a. Let g be o(23). Solve -12 + 24*r + 5 - g - 6 - 4*r**2 = 0 for r.
2, 4
Let d be 986/377*((-9048)/288)/(-29). Factor -3/2 + 1/6*m**3 - d*m - 7/6*m**2.
(m - 9)*(m + 1)**2/6
Suppose -11*s + 12*s = -1. Let g(m) = 6*m**2 + 54*m - 52. Let n(l) = -l**2 + l - 1. Let a(r) = s*g(r) - 8*n(r). Factor a(c).
2*(c - 30)*(c - 1)
Let u(b) be the first derivative of -1/15*b**5 - 4/3*b - 1/6*b**2 - 1/72*b**6 - 93 + 5/9*b**3 + 5/48*b**4. Determine t, given that u(t) = 0.
-4, -2, -1, 1, 2
Let j(f) be the first derivative of -2*f**4 + 38*f**3/3 - 11*f**2 - 8*f + 761. Determine u, given that j(u) = 0.
-1/4, 1, 4
Let z = 62196 + -62194. Factor 0 - 4/9*g + 14/9*g**3 - 10/9*g**z.
2*g*(g - 1)*(7*g + 2)/9
Let z(l) = l**3 + 13*l**2 - 76*l + 20. Let c(j) = -j**3 - j**2. Let y = 188 - 182. Let w(n) = y*c(n) - z(n). Factor w(m).
-(m - 2)*(m + 5)*(7*m - 2)
Let g(m) be the second derivative of -m**9/68040 + m**8/7560 - m**4/6 + 17*m**2 + 77*m. Let r(s) be the third derivative of g(s). Find w such that r(w) = 0.
0, 4
Let j(o) = -528*o - 173710. Let y be j(-329). Find s, given that 0 + 150*s**3 + 160*s + 5/2*s**5 - 65/2*s**4 - 280*s**y = 0.
0, 1, 4
Let d(b) be the second derivative of 2*b + 2 + 10/21*b**3 + 4/147*b**7 + 0*b**2 + 3/35*b**5 - 23/105*b**6 + 43/42*b**4. Solve d(o) = 0 for o.
-1, -1/4, 0, 2, 5
Let q(k) be the second derivative of 1/15*k**4 + 0 - 4/45*k**3 + 1/225*k**6 + 1/15*k**2 - 2/75*k**5 + 28*k. Solve q(z) = 0.
1
Let d(x) be the third derivative of -x**6/200 - 167*x**5/100 + 1029*x**4/40 - 1557*x**3/10 - 1116*x**2. Factor d(h).
-3*(h - 3)**2*(h + 173)/5
Let g be 2 - 2 - (6 + -27). Suppose 2*o - g = -2*o - 3*w, 2*o = 4*w + 38. Factor 3*x + 4*x - o*x - 5*x**2 + 7*x.
-5*x*(x - 1)
Let -161*h**2 - 299/3*h**3 - 298/3*h - 56/3 - 61/3*h**4 - h**5 = 0. Calculate h.
-14, -4, -1, -1/3
Let o(j) = -50*j**2 + 324*j - 652. Let x(u) = 29*u**2 - 194*u + 391. Let s(d) = 7*o(d) + 12*x(d). Find g such that s(g) = 0.
-32, 2
Let p(t) = 32*t**2 + 8*t - 7. Let g(x) = 31*x**2 + 11*x + 3. Let u(m) = -m - 3. Let q(l) = -g(l) - 4*u(l). Let b(j) = -5*p(j) - 4*q(j). Factor b(s).
-(6*s + 1)**2
Suppose -2*l + 6*l = 600. Let z = 68 - 65. Factor 5*t**3 + l + 96*t**2 + 8*t**z - 4*t**3 + 285*t.
3*(t + 5)**2*(3*t + 2)
Let h = 370983 + -370981. Suppose h*o**2 - 16/7*o + 2/7 = 0. Calculate o.
1/7, 1
Let z be 10/(-2) + (5412/96)/11. Let w(t) be the first derivative of t - 15 + 1/4*t**3 + t**2 - z*t**4 - 1/20*t**5. Factor w(x).
-(x - 2)*(x + 1)**2*(x + 2)/4
Let w(h) be the third derivative of h**5/50 + h**4/5 - 117*h**3/5 + 7615*h**2. Factor w(t).
6*(t - 9)*(t + 13)/5
Let m(h) be the third derivative of -h**9/52920 + h**8/11760 - h**7/8820 + 61*h**4/24 - 48*h**2. Let p(z) be the second derivative of m(z). Solve p(w) = 0.
0, 1
Let o(s) = -11*s**3 - 2*s**2 + 1. Let k be o(-1). Suppose -13*u - 19*u = 0. Factor 2*c + u*c - c + 5*c**3 - 10 + k*c**2 - 6*c.
5*(c - 1)*(c + 1)*(c + 2)
Factor 100/7 + 8632/21*g**2 + 3170/21*g + 1352/21*g**3.
2*(g + 6)*(26*g + 5)**2/21
Let m be 10/390*((-12)/94)/1. Let s = m - -2462/5499. Factor 0 - 4/9*u**2 + 1/9*u**3 + s*u.
u*(u - 2)**2/9
Suppose -238*w = -1941*w - 2396*w - 234*w + 12999. Determine b so that -63/5*b**2 - 117/5*b - 57/5 - 3/5*b**w = 0.
-19, -1
Let y be 2/8 - (6 + 498/(-24)). Suppose -6 = -5*j + u, -13*u + y*u - 18 = -5*j. Factor 0 + 0*l - 4/3*l**j.
-4*l**2/3
Let f(t) be the first derivative of -12 + 0*t - 1/4*t**4 - 121/2*t**2 + 22/3*t**3. Suppose f(n) = 0. What is n?
0, 11
Suppose 0 = 25*k + 9*k + 12*k - 4*k. Let q(s) be the first derivative of -1/3*s**2 + s**3 + k*s + 6. Factor q(y).
y*(9*y - 2)/3
Let m = 28962 - 28956. Factor 4*g + 5/2*g**3 - 17/2*g**2 + m.
(g - 2)**2*(5*g + 3)/2
Let v be ((-10)/((-40)/12))/(-1) - -5. Let k be (0/3)/(8 - 7). Factor -3/2*g + k + 3/2*g**3 - 3/8*g**v + 3/8*g**4.
3*g*(g - 1)*(g + 1)*(g + 4)/8
Factor -174*d**2 + 0 - 3/2*d**3 - 345/2*d.
-3*d*(d + 1)*(d + 115)/2
Let h(f) be the third derivative of f**8/168 - 2*f**7/21 - 7*f**6/20 + 59*f**5/15 - 22*f**4/3 + 2*f**2 + 23*f + 7. Determine j, given that h(j) = 0.
-4, 0, 1, 2, 11
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