*z**2 + j*z**5 + 3/10*z**4 - 2/5*z**3. Factor l(m).
-3*(m - 1)**3*(m + 1)**2/5
Let m(w) be the third derivative of 3*w**7/385 + w**6/55 + w**5/110 - 17*w**2 - 5*w. Factor m(v).
6*v**2*(v + 1)*(3*v + 1)/11
Let k = -126 - -129. Let h(f) be the first derivative of 0*f**5 + 2/9*f**k - 5 - 2/3*f + 1/2*f**2 + 1/18*f**6 - 1/3*f**4. Let h(w) = 0. What is w?
-2, -1, 1
Let w(a) be the first derivative of 1/2*a**4 + 0*a - 3*a**2 + 4/3*a**3 + 8. Find q such that w(q) = 0.
-3, 0, 1
Suppose -4*b + 71 = 5*w, -w + 23 = 3*b - 0*b. Let o = -5 + w. Solve -6*x**2 + 8*x - 2*x**3 + o*x**2 + 0*x**2 = 0.
-2, 0, 2
Let g(t) be the third derivative of t**9/20160 + t**8/1680 + t**7/336 + t**6/120 + 7*t**5/20 + 6*t**2. Let m(i) be the third derivative of g(i). Factor m(v).
3*(v + 1)**2*(v + 2)
Let z(n) = -n**3 - n**2 + 1. Let g(v) = -8*v**3 + 60*v**2 - 116*v + 60. Let x(u) = -g(u) + 4*z(u). Factor x(f).
4*(f - 14)*(f - 1)**2
Let t(v) be the third derivative of 14*v**2 - 1/60*v**5 + 0*v + 0 + 1/2*v**3 - 1/12*v**4. Factor t(z).
-(z - 1)*(z + 3)
Determine k, given that -3/4*k**2 - 3/2*k - 3/4 = 0.
-1
Let o = 2333/9380 - -3/2345. Find y, given that 2 + 1/2*y**2 + 3*y - 3/4*y**3 - o*y**4 = 0.
-2, -1, 2
Let i(o) = -o**2 + 8*o + 9. Let l be i(9). Suppose -a = -v, -10 = -9*v + 5*v + 2*a. What is q in 1/2*q**v - q**4 + l*q**2 + 1/2*q**3 + 0 + 0*q = 0?
0, 1
Factor -78*h - h**2 - 3*h**2 - 192 + 2*h.
-4*(h + 3)*(h + 16)
Let g(y) = 20*y**2 + 794*y + 25364. Let d(c) = -7*c**2 - 265*c - 8455. Let o(p) = 14*d(p) + 5*g(p). Factor o(l).
2*(l + 65)**2
Suppose 0 + 3/7*c**5 - 9/7*c**2 + 3*c**3 - 15/7*c**4 + 0*c = 0. Calculate c.
0, 1, 3
Let p = 2024 - 2024. Suppose -1/2*a**2 + p + 1/6*a = 0. What is a?
0, 1/3
Let d(m) = -3*m**2 - 4*m - 5*m**2 - 20 + 3*m**2. Let g(f) = f**2 - f + 1. Let k(p) = -p + 16. Let q be k(17). Let w(y) = q*d(y) - 4*g(y). Factor w(l).
(l + 4)**2
Let c(g) = -g**3 - 7*g**2 - g + 5. Let u be c(-6). Let j = u + 27. Factor -j*y + 12*y**2 + 20*y**3 + 0 - 2*y + 8*y**4 - 4.
4*(y + 1)**3*(2*y - 1)
Let h = -42 - -208/5. Let p = 44/35 + h. Solve 0 - 5/7*x**5 - 1/7*x**3 + 0*x + 0*x**2 - p*x**4 = 0 for x.
-1, -1/5, 0
Let f(d) be the first derivative of 2*d**3/9 - 26*d**2/3 - 18*d - 72. Factor f(q).
2*(q - 27)*(q + 1)/3
Let b = -60 + 69. Determine z, given that -z + 45*z**3 - 15*z**2 - 14*z - z - 5 - b*z = 0.
-1/3, 1
Let y(w) = -2*w**2 + 3*w - 4. Let x(k) = -k**2 - k - 1. Let n = 4 + 2. Let g = n + -3. Let f(r) = g*x(r) - 3*y(r). Find s such that f(s) = 0.
1, 3
Solve -1/4*y**4 + 65/4*y**3 + 0 - 1089/4*y - 1023/4*y**2 = 0 for y.
-1, 0, 33
Let v(y) be the first derivative of y**7/1155 + y**6/660 + 5*y**2/2 + 2. Let d(l) be the second derivative of v(l). Find k, given that d(k) = 0.
-1, 0
Find z, given that 2*z**4 + 104*z + 48 - 62/3*z**3 + 100/3*z**2 = 0.
-1, -2/3, 6
Let i(r) be the first derivative of -r**4/22 - 2*r**3/33 + r**2/11 + 2*r/11 - 265. Factor i(g).
-2*(g - 1)*(g + 1)**2/11
Let z(n) be the third derivative of -n**5/12 - 65*n**4/6 - 85*n**3/2 - 3*n**2 + 51*n. Let z(j) = 0. Calculate j.
-51, -1
Let t(p) be the second derivative of -1/138*p**4 - 7/69*p**3 + 3*p + 0 + 0*p**2. Solve t(w) = 0.
-7, 0
Let r(t) be the second derivative of 2*t**6/75 - 4*t**4/15 - 14*t. Factor r(h).
4*h**2*(h - 2)*(h + 2)/5
Let j(c) = -5*c**4 + 55*c**3 - 70*c**2 + 30*c - 5. Let m(u) = 3*u**4 - 27*u**3 + 35*u**2 - 15*u + 2. Let r(v) = 2*j(v) + 5*m(v). Factor r(o).
5*o*(o - 3)*(o - 1)**2
Let v(o) be the third derivative of o**10/6048 + o**9/1008 + o**8/448 + o**7/504 + 5*o**4/12 + 16*o**2. Let l(c) be the second derivative of v(c). Factor l(w).
5*w**2*(w + 1)**3
Let z(o) = -14 - 72*o + 43*o + 34*o - 6*o**2 - o**3. Let m be z(-7). Let 3/4*x + m*x**2 - 1/4*x**3 + 1/2 = 0. Calculate x.
-1, 2
Let v(o) = -2*o**2 + 61*o - 290. Let d be v(6). Factor 7/3*h - 2/3*h**2 + 4/3 + 1/3*h**5 - 2/3*h**d - 8/3*h**3.
(h - 4)*(h - 1)*(h + 1)**3/3
Solve 96*x**2 - 20*x + 2*x - 100 - 97*x**2 - 2*x = 0 for x.
-10
Suppose -5*r - 491 - 514 = 0. Let o = r - -203. Solve -8/7 + 32/7*d + 18/7*d**o = 0 for d.
-2, 2/9
Suppose 0 + 4/9*k**3 + 0*k**4 - 2/9*k**5 + 0*k**2 - 2/9*k = 0. Calculate k.
-1, 0, 1
Let i = 1054 + -2107/2. Let i*t**2 - t + 0 = 0. What is t?
0, 2
Let r(y) be the second derivative of -y**4/20 + y**3/10 - 85*y. Factor r(a).
-3*a*(a - 1)/5
Let p(v) be the first derivative of -4*v**5/5 - 4*v**4 + 4*v**3/3 + 8*v**2 - 239. Factor p(m).
-4*m*(m - 1)*(m + 1)*(m + 4)
Factor -6*z**3 + z**2 - 13*z**2 + 3*z**2 + z**4 - 2*z**3.
z**2*(z - 9)*(z + 1)
Let s(n) be the second derivative of 0 + 2/3*n**3 + 27*n + 1/12*n**4 + 2*n**2. Determine k, given that s(k) = 0.
-2
Let a be (48/112)/((-9)/(-63)). Suppose -1/7*l**a + 1/7*l - 1/7 + 1/7*l**2 = 0. What is l?
-1, 1
Let b(h) be the first derivative of -6*h**3 + 3/5*h**5 + 24*h - 6*h**2 + 3/4*h**4 + 14. Factor b(g).
3*(g - 2)*(g - 1)*(g + 2)**2
Let c(v) = v**3 - 8*v**2 - 12*v + 15. Let r be c(9). Let m be (-2 - -2) + (-15)/r. Factor -1/2 + 3/4*p**4 - 1/4*p**2 - m*p + 5/4*p**3.
(p - 1)*(p + 1)**2*(3*p + 2)/4
Let w(t) be the third derivative of 1/132*t**4 + 4*t**2 - 1/165*t**5 + 0*t + 1/660*t**6 + 0 + 0*t**3. Factor w(h).
2*h*(h - 1)**2/11
Let d(q) be the second derivative of -1/90*q**5 - 2/27*q**3 + 13*q + 0 - 1/18*q**4 + 0*q**2. Factor d(o).
-2*o*(o + 1)*(o + 2)/9
Factor -162*p + 20*p**3 + 112 + 26 - 1918*p**2 + 4*p**3 + 62 - 40.
2*(p - 80)*(3*p + 1)*(4*p - 1)
Let c(g) be the third derivative of 1/720*g**6 - 1/90*g**5 + 1/48*g**4 + 0*g**3 + 0*g + 10*g**2 + 0. What is o in c(o) = 0?
0, 1, 3
Let b(p) be the third derivative of -2*p**7/105 + 79*p**6/6 - 17292*p**5/5 + 374616*p**4 + 1533312*p**3 + 189*p**2 + 1. Factor b(l).
-4*(l - 132)**3*(l + 1)
Let k(a) = 66*a - 132. Let s be k(2). Factor 4/9*x - 2/9*x**5 + 2/3*x**3 + s - 2/9*x**4 + 10/9*x**2.
-2*x*(x - 2)*(x + 1)**3/9
Let c = -247 + 249. Let x(d) be the first derivative of -3*d**c + 5 + 3/4*d**4 + 0*d + d**3. Find k, given that x(k) = 0.
-2, 0, 1
Let f(a) = 2*a**2 - 7*a - 16. Let g be f(7). Factor -147*q**5 - 75*q**2 - 12*q - g*q**2 - 129*q**3 - 378*q**4 - 198*q**3.
-3*q*(q + 1)**2*(7*q + 2)**2
Let v(i) be the third derivative of -i**6/72 + 5*i**4/24 + 2*i**3 - 11*i**2. Let n(p) be the first derivative of v(p). Determine c, given that n(c) = 0.
-1, 1
Let c(m) = -m**3 + 7*m**2 - 2*m + 16. Let i be c(7). Determine h, given that 86*h**2 - h**4 - i*h + 3*h**3 + 2 - h - 87*h**2 = 0.
-1, 1, 2
Let c(z) be the first derivative of -7*z**4 + 160/3*z**3 - 72*z - 102*z**2 - 14. Factor c(h).
-4*(h - 3)**2*(7*h + 2)
Suppose 5*p - 15 = 3*n, -13 = n - 18. Let z(i) be the first derivative of -3*i**2 + 15/4*i**4 - 3/2*i**p + 0*i + i**3 - 3/5*i**5 + 7. Find d such that z(d) = 0.
-1, 0, 2/3, 1
Suppose 187*k = 177*k. Factor 1/3*b**3 + 0*b + k + 1/3*b**4 + 0*b**2.
b**3*(b + 1)/3
Let p(g) be the first derivative of g**3 + 45*g**2/2 - 102*g + 75. Factor p(d).
3*(d - 2)*(d + 17)
Suppose -g = 3*o - 33, -o + 5*g - g - 2 = 0. Let 17*j**2 - 8*j - o*j**2 - 6*j**2 = 0. What is j?
0, 8
Suppose 2*y = 4*c - 2, 0 = -13*y + 16*y - 9. Solve 12/5 + 6/5*i**c + 21/5*i - 3/5*i**3 = 0.
-1, 4
Let o(s) be the second derivative of 0*s**2 + 17*s - 2/5*s**4 + 0*s**5 - 16/15*s**3 + 1/75*s**6 + 0. Factor o(d).
2*d*(d - 4)*(d + 2)**2/5
Let q(i) be the second derivative of i**7/168 + i**6/40 - i**5/80 - i**4/16 + 278*i + 1. Factor q(u).
u**2*(u - 1)*(u + 1)*(u + 3)/4
Let q(o) be the first derivative of o**2 + 10*o - 38. Let g be q(-4). Factor -4/5*w + 0 + 2/5*w**g.
2*w*(w - 2)/5
Let j(z) be the second derivative of -z**4/12 + 14*z**3 + 2*z + 31. Let j(m) = 0. Calculate m.
0, 84
Let y(n) be the first derivative of -2*n**6 + 276*n**5/5 - 759*n**4/4 + 266*n**3 - 363*n**2/2 + 60*n - 159. Suppose y(k) = 0. Calculate k.
1/2, 1, 20
Let k(o) = -12*o**2 + 25*o + 98. Let d(p) = -4*p**2 + 8*p + 32. Let f(u) = 11*d(u) - 4*k(u). Suppose f(b) = 0. What is b?
-2, 5
Find p, given that -98/5*p + 8/5*p**3 - 24/5 - 6/5*p**2 = 0.
-3, -1/4, 4
Suppose -3 = 27*t - 6 + 3. Determine v so that 2/3*v**5 + 0*v + 0*v**2 + 0 - 2/3*v**3 + t*v**4 = 0.
-1, 0, 1
Suppose g = 4 + 2. Suppose 0 = 3*d + 3, 6 = -5*w - 3*d + 18. Factor -33*j**2 - 5 + 32 - 28*j - g*j**w + 4*j - 12*j.
-3*(j + 3)**2*(2*j - 1)
Let b(o) be the first derivative of -o**4/4 + 5*o**3/3 + 24*o**2 - 252*o + 152. Factor b(j).
-(j - 6)**2*(j + 7)
Let j b