w - 2)*(w + 1)**2*(w + 4)
Let n(k) be the third derivative of -1/110*k**6 - 7*k**2 + 0*k**4 + 0 + 2*k + 1/385*k**7 - 12/55*k**5 + 0*k**3. Factor n(i).
6*i**2*(i - 6)*(i + 4)/11
Suppose -b + 71 = 45. Suppose -4*u = 2*w - b, -u - 4 + 12 = w. Factor 35*m**3 + 43 - 16*m**3 + 45*m - 16 - 16*m**w + 21*m**2.
3*(m + 1)*(m + 3)**2
Suppose -58/11*m**3 + 200/11*m - 200/11 - 2/11*m**4 + 58/11*m**2 + 2/11*m**5 = 0. Calculate m.
-5, -2, 1, 2, 5
Let p(t) be the first derivative of -t**5/150 + 7*t**4/60 - 2*t**2 - t + 83. Let w(d) be the second derivative of p(d). Factor w(y).
-2*y*(y - 7)/5
Let u(o) = 16*o - 329. Let d be u(21). Suppose -5*s + 2*p + 13 = 0, 7*p - 12*p - d = -4*s. Factor 0 - 1/2*q**s - q**2 + 0*q.
-q**2*(q + 2)/2
Find r, given that -5/4*r**3 + 47/4*r - 43 + 107/2*r**2 = 0.
-1, 4/5, 43
Let q(o) be the first derivative of -o**5/30 + 31*o**4/3 - 3844*o**3/3 + 238328*o**2/3 - 119*o + 145. Let a(d) be the first derivative of q(d). Factor a(c).
-2*(c - 62)**3/3
Let k = -7002 + 840241/120. Let i(b) be the second derivative of -k*b**4 + 5 + b + 3/10*b**2 + 1/12*b**3. Find u such that i(u) = 0.
-1, 6
Let x(h) be the third derivative of h**5/90 + 29*h**4/18 + 254*h**2. Let x(u) = 0. What is u?
-58, 0
Let q be 1/3 + 25/15. Factor 6*k**3 - 16*k**2 - 2 + 2 + 12*k - 5*k**q + 3*k**4.
3*k*(k - 1)**2*(k + 4)
Let d(y) be the first derivative of 32/19*y + 16/19*y**2 + 0*y**3 - 2/95*y**5 + 95 - 2/19*y**4. Factor d(n).
-2*(n - 2)*(n + 2)**3/19
Solve 2/3*i**2 + 182/3*i + 60 = 0 for i.
-90, -1
Determine a, given that 26/3*a**4 - 94/3*a**3 - 2/3*a**5 + 118/3*a**2 + 0 - 16*a = 0.
0, 1, 3, 8
Let u(c) be the first derivative of -c**3/3 - 616*c**2 - 379456*c - 3512. Find w, given that u(w) = 0.
-616
Let k be 45/39*12246/6280. Find q, given that k*q + 0 + 3/4*q**2 = 0.
-3, 0
Let m be 14/(-1365)*-5 - 1610/(-546). Let n = 22 - 20. Factor -16/5 + 8/5*l + 7/5*l**n + 1/5*l**m.
(l - 1)*(l + 4)**2/5
Let z = 23792 - 23790. Let y(b) be the third derivative of -1/294*b**7 + 0 - 18/35*b**5 - 9*b**z + 64/21*b**3 + 4/3*b**4 + 0*b + 29/420*b**6. Factor y(v).
-(v - 4)**3*(5*v + 2)/7
Suppose -2*g + 18 = 4*x, 14 = -4*x + 5*g + 25. Suppose 5*v + 3*t + t - 5 = 0, -3*t = v + 10. Factor -3*w**3 + 2*w**5 - v*w**5 - 57*w**x + 0*w**3 + 63*w**4.
-3*w**3*(w - 1)**2
Let q = -249 - -246. Let v(f) = 28*f**2 - 27*f + 9. Let p(z) = 83*z**2 - 82*z + 27. Let l(w) = q*p(w) + 8*v(w). Factor l(s).
-(5*s - 3)**2
Let m(n) be the first derivative of -2*n**5/55 - 19*n**4/22 - 78*n**3/11 - 27*n**2 - 540*n/11 - 145. Factor m(f).
-2*(f + 3)**3*(f + 10)/11
Let f(s) be the second derivative of s**6/2160 - 7*s**5/720 + 61*s**3/2 - 111*s + 1. Let y(n) be the second derivative of f(n). Factor y(o).
o*(o - 7)/6
Factor 2816/17 + 580*n + 14/17*n**2.
2*(n + 704)*(7*n + 2)/17
Suppose -210 = 26*m - 31*m. Let f be 9/m*3 + (-22)/154. Factor f*y + 1/2*y**3 + 0 + y**2.
y*(y + 1)**2/2
Let p = 289 - 295. Let i(f) = -f**2 - 174*f + 175. Let g(t) = 2*t**2 + 523*t - 525. Let h(s) = p*g(s) - 17*i(s). Suppose h(j) = 0. What is j?
1, 35
Let t = -20 - -24. Suppose -5*s + 5 = -t*s. Let i(z) = 11*z**3 - 5*z. Let l(v) = 17*v**3 - 8*v. Let n(x) = s*l(x) - 8*i(x). Factor n(r).
-3*r**3
Let k(g) be the second derivative of -g**5/20 - 35*g**4/12 + 62*g**3/3 + 190*g**2 + 2*g - 209. Find u, given that k(u) = 0.
-38, -2, 5
Let s(b) be the second derivative of 7*b**5/160 - 11*b**4/96 - 71*b**3/48 + 75*b**2/16 + 159*b - 1. Let s(x) = 0. What is x?
-3, 1, 25/7
Find p such that -3288/5*p**2 - 928/5*p**4 + 688/5*p + 36/5*p**5 + 628*p**3 + 352/5 = 0.
-2/9, 1, 2, 22
Let q = -35257 + 176286/5. Suppose -19/5*y**2 + q*y**3 - 81/5 + 99/5*y = 0. What is y?
1, 9
Let t = -169 + 206. What is m in -109*m - t + 269*m - 119 - 4*m**2 = 0?
1, 39
Let q(w) be the third derivative of -w**7/280 + 9*w**5/80 + w**4/8 - 3*w**3/2 + 176*w**2. Suppose q(y) = 0. What is y?
-2, 1, 3
Let v(b) be the third derivative of 2*b**7/105 + 13*b**6/30 + 23*b**5/15 + 11*b**4/6 - 3*b**2 - b + 142. Factor v(o).
4*o*(o + 1)**2*(o + 11)
Let z(s) be the first derivative of s**6/45 - 3*s**5/10 - 11*s**4/6 - 35*s**3/9 - 4*s**2 - 111*s - 20. Let b(o) be the first derivative of z(o). Factor b(q).
2*(q - 12)*(q + 1)**3/3
Factor -27/4*q**3 + 9/8*q**5 - 1/4*q**4 - 11/8*q + 3/4 - 15/2*q**2.
(q - 3)*(q + 1)**3*(9*q - 2)/8
Let -472/3*s**3 + 56/3*s**2 - 27*s**5 + 123*s**4 + 112/3*s + 16/3 = 0. What is s?
-2/9, 1, 2
Let a be (-101)/(-12) + (-25)/(-75) - (84/(-4) + 29). Determine l so that 7/4*l - a + 1/4*l**3 - 5/4*l**2 = 0.
1, 3
Let v(k) = k**2 - 11754*k + 47002. Let h be v(4). What is y in -168/5*y - 588/5*y**h - 16/5 - 686/5*y**3 = 0?
-2/7
Let f(o) be the first derivative of -5*o**4/4 - 200*o**3/3 + 2165*o**2/2 - 1960*o - 5892. Find c, given that f(c) = 0.
-49, 1, 8
Let z(g) be the second derivative of g**7/504 + g**6/8 + 27*g**5/8 - 25*g**4/12 + 2*g - 35. Let t(p) be the third derivative of z(p). Factor t(b).
5*(b + 9)**2
Let s(j) be the first derivative of 0*j**2 + 0*j**4 - 9/5*j**5 + 0*j + 4*j**3 - 1/2*j**6 - 53. Let s(m) = 0. What is m?
-2, 0, 1
Let a = 116123/6 + -19348. Let b(c) be the second derivative of 5/4*c**5 + 5*c**2 + 0 + a*c**3 + 20*c + 15/4*c**4 + 1/6*c**6. Solve b(q) = 0 for q.
-2, -1
Let z(u) be the first derivative of -u**4/144 + 11*u**3/72 - 5*u**2/12 + 28*u - 38. Let r(v) be the first derivative of z(v). Factor r(q).
-(q - 10)*(q - 1)/12
Let u(l) = -2*l**3 - l**2 + l + 9. Let f(t) = -t - 5. Let b be f(-5). Let p be u(b). Factor -2*d + 5 + 1 - 6*d + 11*d - p*d**2.
-3*(d - 1)*(3*d + 2)
Suppose -27 = -6*w + 33*z - 38*z, 2*w - z = 1. Suppose -25*y**4 + 5/2*y**5 - 100*y**w + 125/2*y - 15 + 75*y**3 = 0. Calculate y.
1, 6
Factor -455 + 266 - 2*m**2 - 533 - m**2 - 166 + 234*m.
-3*(m - 74)*(m - 4)
Solve -110*q**3 - 106*q**3 - 10*q**2 - 106*q**3 + 321*q**3 = 0 for q.
-10, 0
Let b = -41585/2 - -20803. Solve 0 - 15/2*x**2 - 3/2*x**5 + 15/2*x**4 - 9*x + b*x**3 = 0.
-1, 0, 1, 6
Let j = 3120530/11 + -285316. Let h = j - -1632. Suppose -h*a**2 + 12/11*a + 18/11 = 0. What is a?
-1, 3
Solve -17/2*z**3 - 7249/6*z - 1/6*z**4 + 471/2*z**2 - 1452 = 0.
-72, -1, 11
Suppose 0 = -u + o - 29, 4*u + 19*o = 17*o - 98. Let t be u/(-12) - 8/12*1. Factor -t - 3*f**2 - 9/2*f.
-3*(f + 1)*(2*f + 1)/2
Let v(k) be the second derivative of k**6/10 - 41*k**5/10 - 329*k**4/12 - 184*k**3/3 - 62*k**2 - 21*k + 33. Suppose v(m) = 0. What is m?
-2, -1, -2/3, 31
Let u = -1383/46 + 23603/782. Let -u*q**3 - 30/17*q + 14/17 + 18/17*q**2 = 0. Calculate q.
1, 7
Let t(n) = 11*n - 150. Let r be t(14). Factor 32*c**2 - c**3 - r*c**3 + 5*c**2 - 64*c**2 + 2*c**3.
-3*c**2*(c + 9)
Let r be 1/(-2)*(6 - 12). Let g = -4871/20 + 1224/5. Find k, given that -7*k**r - 4*k + g*k**4 - 4 + 12*k**2 = 0.
-2/5, 2
Suppose 0 = -3*x - 3, x = -o + 5*o - 109. Suppose -4*c + p + o - 5 = 0, 0 = -p - 2. Factor 10*h + 15*h**2 - 5*h - c*h**4 + 0*h + 5*h.
-5*h*(h - 2)*(h + 1)**2
Let d(l) be the first derivative of -l**5/15 + 7*l**4/6 + 83*l**3/9 - 34*l**2 + 36*l + 7039. Determine s, given that d(s) = 0.
-6, 1, 18
Suppose v + 13 = 4*y, 21*v - 12 = -5*y - 107. Let -200/21 - 122/21*a**y - 12/7*a**3 + 120/7*a - 2/21*a**4 = 0. What is a?
-10, 1
Let p(r) be the first derivative of 29 + 0*r**2 + 0*r - 1/8*r**5 - 5/12*r**4 + 25/3*r**3 - 1/72*r**6. Let q(c) be the third derivative of p(c). Factor q(t).
-5*(t + 1)*(t + 2)
Let y(m) be the first derivative of 0*m + 40 + 1/3*m**4 - 11/3*m**3 - 9/2*m**2. Factor y(g).
g*(g - 9)*(4*g + 3)/3
Let t(l) = l**3 + 19*l**2 + 15*l - 51. Let u be t(-18). Find y, given that -17 + 10*y**2 + 10*y + 67 - 1255*y**u + 1260*y**3 - 75*y = 0.
-5, 1, 2
Let g = -2997460150/3688209 + 1/526887. Let z = 815 + g. Find j such that 16/7 - z*j + 4/7*j**2 = 0.
2
Let c = -554520 - -554522. Let -9/2*m + 0 - 1/2*m**c = 0. Calculate m.
-9, 0
Let l(t) be the second derivative of -5 - 4*t + 3/2*t**2 + 1/24*t**4 - 5/12*t**3. Factor l(k).
(k - 3)*(k - 2)/2
Let j(p) be the first derivative of 3/7*p**2 - 9/7*p + 1/7*p**3 - 96. Determine n, given that j(n) = 0.
-3, 1
Let l = -19/203 + 1021/2233. Let -72/11 - 30/11*j + 2/11*j**3 + l*j**2 = 0. Calculate j.
-3, 4
Let p(t) be the first derivative of t**7/3360 + 19*t**6/1440 - 41*t**5/480 + 7*t**4/32 + 21*t**3 + 93. Let k(n) be the third derivative of p(n). Factor k(q).
(q - 1)**2*(q + 21)/4
Let z = -502 + 513. Let r