 + 0.
-2*c*(c - 3)**2*(c + 1)**2/5
Let m = -10 - -18. Let i be (-10 + 9)/((-2)/m). Suppose 4 + 17*x - 8*x**3 + i*x**5 - x**4 + 5*x**4 - 8*x**2 - 13*x = 0. What is x?
-1, 1
Factor 99*w - 961*w + 5*w**2 + 272*w + 235*w.
5*w*(w - 71)
Let v(q) = 6*q**2 + 40*q - 20. Let x(g) = g**2 + g + 2. Suppose -25 = -8*y + 13*y, -5*y = 2*c + 19. Let i(a) = c*x(a) - v(a). Factor i(l).
-(l + 13)*(3*l - 2)
Let u(i) be the second derivative of i**6/45 + 7*i**5/15 + 23*i**4/6 + 140*i**3/9 + 100*i**2/3 + 3*i - 156. Suppose u(g) = 0. Calculate g.
-5, -2
Suppose -165*y + 700 = 10*y. Let j(n) be the third derivative of 1/20*n**5 + 0*n + 0 + 0*n**3 + 1/2*n**y + 20*n**2. Find u, given that j(u) = 0.
-4, 0
Let b = 91 - 66. Suppose -8*o - 34 = -b*o. Let -1/4*q**o + 0 + 3/2*q = 0. What is q?
0, 6
Factor -1056*f + 452 + 588 + 179*f**3 + 168*f**2 + 108*f**2 - 183*f**3.
-4*(f - 65)*(f - 2)**2
Let g(j) = 5*j**2 + 18*j + 2*j + 10 + 2 - 6*j**2. Let p(h) = -15*h**2 + 260*h + 155. Let r(q) = 40*g(q) - 3*p(q). Factor r(i).
5*(i + 1)*(i + 3)
Let -88/13*u**2 - 530/13*u - 444/13 - 2/13*u**3 = 0. What is u?
-37, -6, -1
Let w(u) be the first derivative of u**6/9 - 56*u**5/5 - 57*u**4/2 - 172*u**3/9 + 345. Find y such that w(y) = 0.
-1, 0, 86
Suppose -215*y + 217*y = -2410. Let h = y - -1205. Find x, given that 5/11*x**2 + 1/11*x**4 - 6/11*x**3 + h*x + 0 = 0.
0, 1, 5
Let k(s) = -s**2 - 3*s + 2. Let d = 107 + -110. Let t be k(d). Solve -12*b**2 + 10 + t + 15*b**3 - 6*b - 9*b = 0 for b.
-1, 4/5, 1
Let m(q) be the third derivative of -1/385*q**7 + 2/165*q**5 + 0*q + 1/1848*q**8 - 62*q**2 + 0*q**6 + 0*q**3 + 0*q**4 + 0. Solve m(x) = 0 for x.
-1, 0, 2
Let y(g) be the first derivative of 4/3*g**3 + 52*g + 224 - 28*g**2. Determine h, given that y(h) = 0.
1, 13
Let v(d) be the first derivative of -d**7/420 + d**6/240 + d**5/15 - d**4/4 + 109*d**2/2 + 96. Let f(w) be the second derivative of v(w). Factor f(j).
-j*(j - 2)**2*(j + 3)/2
Let b = 108293/3 + -34992. Let a = -1104 + b. Find p such that a*p + 0 - 5/6*p**3 + 5/6*p**2 = 0.
-1, 0, 2
Suppose 0 = 92*p + 97330 - 97606. Factor -1/2*k**2 + 1/2*k + p.
-(k - 3)*(k + 2)/2
Let w(a) be the third derivative of 0*a**4 + 0*a**5 + 1/300*a**6 + 0*a - 55*a**2 + 0*a**3 + 0. Let w(u) = 0. Calculate u.
0
Let t(d) be the first derivative of -16/15*d**3 + 0*d + 35 + 4/15*d**2 + 11/30*d**4. Factor t(u).
2*u*(u - 2)*(11*u - 2)/15
What is g in -15*g**3 - 92*g - 49*g**4 + 33*g**4 + 20 + 34*g**4 - 28*g**4 + 80*g**2 + 17*g = 0?
-4, 1/2, 1
Let j(l) = 15*l**2 + 820*l - 810. Let b(w) = 11*w**2 + 818*w - 809. Let x(g) = -5*b(g) + 4*j(g). Suppose x(u) = 0. Calculate u.
1, 161
Let v = -2438 + 4737. Factor -v - 2*h**3 + 22*h**2 + 2299.
-2*h**2*(h - 11)
Let c be (-955)/(-20) + -2*((-1)/(-9))/((-284)/639). Let o(t) = t**2 + t. Let j be o(-2). Determine v so that -13/2*v**3 + c*v**j + 36 + 1/4*v**4 - 78*v = 0.
1, 12
Let q(d) be the first derivative of 3*d**6/7 - 174*d**5/35 - 965*d**4/14 - 5074*d**3/21 - 2208*d**2/7 - 1224*d/7 + 1177. Find o, given that q(o) = 0.
-3, -2/3, 17
Let f(t) be the second derivative of -t**6/165 - 9*t**5/2 - 60503*t**4/66 + 62665*t**3/11 + 248004*t**2/11 + 2*t - 237. Determine h, given that f(h) = 0.
-249, -1, 4
Solve 2/25*d**2 + 2384/25 - 2386/25*d = 0.
1, 1192
Let b(f) be the third derivative of f**7/126 + 3*f**6/40 - f**5/3 - 7*f**4/18 + 244*f**2. Factor b(x).
x*(x - 2)*(x + 7)*(5*x + 2)/3
Let r(k) be the third derivative of 3*k**7/280 - 7*k**6/10 + 1117*k**5/80 - 333*k**4/8 + 81*k**3/2 + 999*k**2. Solve r(z) = 0.
1/3, 1, 18
Let g = 641117/2 - 320542. Factor -363/4 - g*w - 3/4*w**2.
-3*(w + 11)**2/4
Let x(g) = 1888*g + 11328. Let u be x(-6). Factor 0*s**2 + 1/2*s**5 + s**3 + u*s - 3/2*s**4 + 0.
s**3*(s - 2)*(s - 1)/2
Find l such that -184900/7 - 62*l**2 - 47945/7*l - 1/7*l**3 = 0.
-215, -4
Let p(h) = -2*h**2 - 28*h + 7593. Let v be p(-69). Find d, given that -4*d - 8/3 - 2*d**2 - 1/3*d**v = 0.
-2
Let b = 2860/14679 - 38/233. Let w(p) be the first derivative of 0*p - 11 - b*p**3 - 1/21*p**2. Find x, given that w(x) = 0.
-1, 0
Let s(b) be the second derivative of 3*b**5/100 - 23*b**4/2 + 405*b - 1. What is t in s(t) = 0?
0, 230
Let m = -2/101 + 307/202. Let h be ((-6)/(-64))/(21/112). Factor 7/2*x - m - 5/2*x**2 + h*x**3.
(x - 3)*(x - 1)**2/2
Let h(r) = -37*r**2 - 26*r - 8. Let l be h(4). Let y = l + 704. Let -3/7*s**3 + y*s - 15/7*s**2 + 0 = 0. Calculate s.
-5, 0
Let y(d) = 6*d**3 - 510*d**2 + 549*d - 30. Let n(j) = 3*j**3 - 253*j**2 + 274*j - 16. Let l(b) = -15*n(b) + 8*y(b). Solve l(u) = 0 for u.
0, 1, 94
Suppose k + 4*z - 22 = 0, 4*k = -2*z + 14 + 4. Let f = 1 - -1. Factor 0*p**f - 3*p + p**2 - 2*p**k + 4*p**2.
3*p*(p - 1)
Factor 154/3*r**3 - 1/3*r**5 + 196/3*r**2 - 40*r + 9*r**4 - 256/3.
-(r - 32)*(r - 1)*(r + 2)**3/3
Let z = 7930 + -4520099/570. Let y(x) be the third derivative of 0*x**4 + 9*x**2 + 0*x + 0 - z*x**5 + 1/57*x**3. Let y(g) = 0. Calculate g.
-1, 1
Suppose -75*o = -73*o - 14. Suppose 0 = -h - o*h + 24. Factor 15 + 10*c**2 - 35*c + 15*c**2 + 3*c**3 + 0*c**3 - 8*c**h.
-5*(c - 3)*(c - 1)**2
Let v(y) be the third derivative of 124*y**2 - 1/12*y**4 + 0 - 8/15*y**5 + 16/3*y**3 + 1/60*y**6 + 0*y. Factor v(g).
2*(g - 16)*(g - 1)*(g + 1)
Let q(n) be the second derivative of -n**5/60 + 77*n**4/36 - 148*n**3/9 + 146*n**2/3 - 11505*n. Solve q(r) = 0 for r.
2, 73
Suppose 22*d - 16*d = 120. Factor 64*o**3 - d*o**4 + 72*o**4 + 82*o**2 - 66*o**2 + 12*o**5.
4*o**2*(o + 2)**2*(3*o + 1)
Suppose s - 5 = -3*p - 31, -3*s = 3*p + 84. Let o = 33 + s. Let u(w) = -w**4 + 1. Let j(q) = 2*q**3 - q**2 + 3. Let m(g) = o*j(g) - 12*u(g). Factor m(v).
4*v**2*(v + 1)*(3*v - 1)
Let c(v) = -18952*v - 94758. Let x be c(-5). Solve 0 + 25/2*u + 1/2*u**x = 0 for u.
-25, 0
Let y(k) be the second derivative of -k**7/42 + 13*k**6/24 - 91*k**5/20 + 269*k**4/16 - 51*k**3/2 + 27*k**2/2 - 133*k + 7. Let y(n) = 0. What is n?
1/4, 1, 3, 6
Suppose 0 = -o - z + 227, o = z - 5*z + 239. Factor 269*j**2 + 27 + 198*j - 129*j**2 + o*j**2.
3*(11*j + 3)**2
Suppose -5*q = 4*u + 2, 3*q = 4*u + 1 + 17. Let r(c) be the first derivative of 6 + 0*c - 7/3*c**3 - 1/6*c**6 - 9/4*c**4 - c**5 - c**q. Solve r(f) = 0 for f.
-2, -1, 0
What is w in 20/9 - 160/9*w**2 + 14*w**3 + 14/9*w = 0?
-2/7, 5/9, 1
Suppose 222 + 179*k + 6*k**2 - k**2 + 201*k - 7*k = 0. What is k?
-74, -3/5
Let b(g) = 968 + 96*g - 80*g**2 + 46*g**2 + 4*g**3 - 22*g**2 + 0*g**3. Let k(c) = -c**2 + 3*c + 1. Let d(t) = b(t) + 4*k(t). Factor d(n).
4*(n - 9)**2*(n + 3)
Let v(t) be the first derivative of 5*t**3/3 - 3410*t**2 + 2325620*t - 1501. What is n in v(n) = 0?
682
Let l(j) be the first derivative of -5*j**4/4 + 15*j**3 - 15*j**2 - 80*j + 1404. Let l(f) = 0. Calculate f.
-1, 2, 8
Let m be (0/6)/(-2 - ((-21)/7 - -4)). Let u(w) be the second derivative of 1/8*w**4 - 3/80*w**5 + m*w**2 - 19*w + 0 - 1/8*w**3. Factor u(t).
-3*t*(t - 1)**2/4
Let f be (99/55 + -2)/((-2)/30). Let 2*t**5 + 3926*t**f + 0*t**4 - 1964*t**3 - 16*t**4 - 2000*t**3 - 20*t**2 = 0. What is t?
-1, 0, 10
Let t(u) = -u**2 - u - 28. Let y(v) = -v**2 + 69*v - 1004. Let s(i) = -6*t(i) + 2*y(i). Determine j, given that s(j) = 0.
-46, 10
Let u(q) = q**2 + 51*q - 4180. Let o be u(44). Let z(r) be the second derivative of -16*r**2 + o - 38*r - 1/24*r**4 + 4/3*r**3. Solve z(h) = 0 for h.
8
Let h be 3/24 + (-8452)/4128. Let u = 32/43 - h. Solve -4/3*l**2 + u + 4/3*l = 0 for l.
-1, 2
Let k(l) be the third derivative of -l**6/360 + 14*l**5/15 - 165*l**4/2 - 5400*l**3 - 2566*l**2. Factor k(m).
-(m - 90)**2*(m + 12)/3
Let d be (-107675)/105 - (-12)/28*-2. Let n = d - -1027. Solve -40/3*g + n*g**2 + 200/3 = 0 for g.
10
Factor 0*p + 0 + 2*p**3 + 1/5*p**4 + 5*p**2.
p**2*(p + 5)**2/5
Let q(h) be the third derivative of 0*h + 5/336*h**8 - 5/2*h**4 + 38*h**2 + 0 - 1/24*h**6 - 11/12*h**5 + 1/14*h**7 - 10/3*h**3. Factor q(u).
5*(u - 2)*(u + 1)**3*(u + 2)
Let o(t) = -t**4 - t**2 - 2*t + 1. Let a(d) = 12*d**4 + 66*d**3 + 315*d**2 + 342*d - 15. Let f(w) = a(w) + 15*o(w). Suppose f(j) = 0. Calculate j.
-2, 0, 26
Let 294*n + 532 - 105*n**2 - 1335 + 611 + 3*n**3 = 0. What is n?
1, 2, 32
Let g(n) be the first derivative of n**6/24 - 13*n**5/20 + 11*n**4/8 + n**3/6 - 23*n**2/8 + 11*n/4 + 1752. Determine x so that g(x) = 0.
-1, 1, 11
Let o be ((-1)/2)/((5 + 1)/(-144)). Suppose -o = 4*z, -t + z + 