 -x*m = -7 - 3. Factor -3*f**r + 10*f - 11*f + 2*f**4 - 2*f**2 - 3*f**3 - f**2.
-f*(f + 1)**3
Factor 7/4 + 5/8*h - h**2 + 1/8*h**3.
(h - 7)*(h - 2)*(h + 1)/8
Let s(d) = 70*d**2 + 141*d + 84. Let g(j) = -142*j**2 - 281*j - 169. Let p(m) = 6*g(m) + 14*s(m). Suppose p(a) = 0. Calculate a.
-9/8
Let t(j) be the third derivative of 19*j**2 + 0*j + 1/120*j**6 - 1/18*j**4 - 1/630*j**7 + 0 + 0*j**5 + 0*j**3. Factor t(b).
-b*(b - 2)**2*(b + 1)/3
Suppose -4*x = -5*u + 5, x + 30 = 2*x + 5*u. Suppose -15 = -x*g - 5. Find f such that 3/2*f**g - 3/2*f + 0 = 0.
0, 1
Let u(x) = x**3 - x**2 - x. Let t be u(0). Suppose 4*z - 5*b - 23 = t, 6 = -2*b - 0*b. Factor -1 - 2 + 2 - z*k**3 + k + k**3 + k**2.
-(k - 1)**2*(k + 1)
Suppose -3*x - 45 + 51 = 0. Suppose 7*i**3 - i + 2*i**2 + 0*i**3 - x*i**3 - 6*i**3 = 0. Calculate i.
0, 1
Suppose 3*x = 5*s + 12, 5*x - 5*s - 8 = 12. Let j be 42/2*34/34. Find q such that 5*q**3 + 26*q**4 + 0*q**3 - j*q**x = 0.
-1, 0
Let b(v) be the second derivative of v**6/20 - 9*v**5/40 + v**4/4 - 5*v - 16. Find s such that b(s) = 0.
0, 1, 2
Let x = 371 + 78. Factor -x*s**3 + 450*s**3 + s**2 - s + s.
s**2*(s + 1)
Let s(u) = -15*u + 115*u**3 - 388 - 112*u**3 + 382. Let f(y) be the second derivative of -y**3/6 + y. Let v(n) = 6*f(n) - s(n). Solve v(i) = 0.
-1, 2
Suppose 6*v + 42 = 13*v. Let y(u) be the third derivative of 0 + 0*u + 0*u**4 + 0*u**3 + 1/24*u**v + 1/60*u**5 - 3*u**2. What is r in y(r) = 0?
-1/5, 0
Let i = -8/157 - -285/2512. Let y(f) be the third derivative of 0*f**3 - 10*f**2 + i*f**4 - 1/20*f**5 + 0 + 1/80*f**6 + 0*f. Determine v so that y(v) = 0.
0, 1
Suppose 7*c - 2*c = 4*b - 1, 5*c - 15 = 0. Let 1 + 0*m**b + 6*m**2 - 2*m**2 - 2*m**4 - 3 = 0. Calculate m.
-1, 1
Let t(o) = 20*o**3 - 100*o**2 - 15*o + 15. Let x(z) = -z**3 + z**2 + z - 1. Let b(d) = t(d) + 15*x(d). Suppose b(v) = 0. What is v?
0, 17
Let i = -13 - -65. Let s be 4 - 1/(16/i). Factor 0*o**4 + 0 + 0*o + s*o**3 - 1/4*o**5 + 1/2*o**2.
-o**2*(o - 2)*(o + 1)**2/4
Let d(m) be the second derivative of -1/2*m**3 + m**2 + 1/20*m**5 + 0*m**4 + 0 + 4*m. Factor d(o).
(o - 1)**2*(o + 2)
Let l(p) be the second derivative of 6*p + 0*p**2 + 147/20*p**5 + 2*p**3 + 0 + 7*p**4. Factor l(v).
3*v*(7*v + 2)**2
Let d(q) = q**2 - 2*q + 5. Let g be d(0). Suppose -4*u + g = -5*i - 0*u, -2*u + 25 = 5*i. Factor 2*h**3 - h**3 - i*h**4 + h**2 + h**3.
-h**2*(h - 1)*(3*h + 1)
Let a(k) be the second derivative of 12*k**2 + 0 - 1/6*k**4 + 4/3*k**3 - 18*k. Factor a(y).
-2*(y - 6)*(y + 2)
Let r(v) be the second derivative of 1/33*v**3 - 28*v + 0 - 1/66*v**4 + 2/11*v**2. Find i such that r(i) = 0.
-1, 2
Let c be (-22)/33 + 24/9. Factor -y + 1/4*y**4 + 3/2*y**c + 5/4*y**3 - 2.
(y - 1)*(y + 2)**3/4
Let m be 198/(-45) + 8 + 0 + (-8)/4. Determine j so that 0 + 6/5*j**3 + m*j - 16/5*j**2 = 0.
0, 2/3, 2
Let o(r) be the third derivative of r**6/20 + 3*r**5/8 + r**4/2 - 3*r**3/4 - 22*r**2. Suppose o(t) = 0. Calculate t.
-3, -1, 1/4
Let v(z) be the second derivative of z**5/20 + 29*z**4/12 - 61*z**3/6 + 33*z**2/2 + 10*z + 2. Let c be v(-31). Factor 2/9*d**c + 0*d - 2/9.
2*(d - 1)*(d + 1)/9
Factor -30*y + 144*y**2 + y**2 - 23*y**4 - 95*y**3 + 3*y**4.
-5*y*(y - 1)*(y + 6)*(4*y - 1)
Let u be (7 - 4)*(-3 - -4) + 0. Let q(j) be the third derivative of 7/30*j**6 + 3/7*j**4 - 1/2*j**5 + 0 + 0*j - 4/21*j**u - 6*j**2. Suppose q(k) = 0. What is k?
2/7, 1/2
Let f(o) be the first derivative of 2/9*o**3 + 38 - 2*o - 2/3*o**2. Determine h so that f(h) = 0.
-1, 3
Let q = 135 - 131. Suppose -49*o + 15*o**2 + 3*o**5 - 36 - 906*o**q + 927*o**4 + o + 45*o**3 = 0. Calculate o.
-3, -2, -1, 1
Suppose 2 = 11*t - 64. Factor 162*x + 3 + 3 + t - 2*x**2 - 164*x.
-2*(x - 2)*(x + 3)
Let n be (1/(-3))/((-2)/24). Solve -12*h**5 + 6*h**3 + 16*h**2 + 2*h**4 + 22*h**3 + 3*h**4 - 21*h**n - 16*h = 0.
-2, -1, 0, 2/3, 1
Factor 25*w**3 + w**4 + 788*w + 329 - 51 - 84*w + 216*w**2 + 234.
(w + 1)*(w + 8)**3
Let d = -220 - -220. Find x, given that 0*x**3 + 0*x + 2/5*x**5 + d*x**2 + 0 - 4/5*x**4 = 0.
0, 2
Let d(y) be the second derivative of y**3 + 1/10*y**6 - 9/20*y**5 - 1/4*y**4 - 16*y + 1/14*y**7 + 0*y**2 + 0. Factor d(z).
3*z*(z - 1)**2*(z + 1)*(z + 2)
Let y(r) be the first derivative of -r**7/63 + 2*r**6/45 - r**5/30 - 7*r - 11. Let j(s) be the first derivative of y(s). Solve j(p) = 0 for p.
0, 1
Let w(d) be the third derivative of -d**5/300 + 3*d**4/20 - 17*d**3/30 + 5*d**2 + 17. What is t in w(t) = 0?
1, 17
Let b be (-27)/(-7) + 360/315. Let q(u) be the third derivative of -1/48*u**4 + 0 - u**2 + 0*u + 1/240*u**6 - 1/6*u**3 + 1/60*u**b. Factor q(i).
(i - 1)*(i + 1)*(i + 2)/2
Let m = 1931/65 - 147/5. Let l(x) be the first derivative of -m*x + 1/13*x**2 + 2/39*x**3 - 7. Suppose l(k) = 0. Calculate k.
-2, 1
Let d = 19 + -13. Let q(j) = 15*j**2 + 1. Let i be q(1). Factor -16 + 3*l**3 - d*l**2 + i.
3*l**2*(l - 2)
Let h = 923/24990 - 3/833. Let p(o) be the first derivative of h*o**5 + 0*o - 1/12*o**4 + 0*o**2 - 3 + 1/18*o**3. Determine x, given that p(x) = 0.
0, 1
Let k(q) be the second derivative of q**6/75 - 7*q**5/50 + 8*q**4/15 - 4*q**3/5 + 195*q + 1. Solve k(g) = 0.
0, 2, 3
Let y(p) be the second derivative of -p**6/90 - 7*p**5/60 - 11*p**4/36 - 5*p**3/18 + 136*p + 1. Find a such that y(a) = 0.
-5, -1, 0
Let l = -14 + 19. Suppose -3*m - 2*b + l = 0, -3*b + 5 = -4*b. Suppose 2*n - m*n**2 + 0*n**2 - 6 - 2*n**3 + 11*n**2 = 0. Calculate n.
-1, 1, 3
Let q(m) = 3*m + 51. Let g be q(-18). Let r be (g/(-10))/((-21)/(-14)). Determine o so that 0 - 1/5*o**3 - r*o - 2/5*o**2 = 0.
-1, 0
Let f(l) = 4*l**3 - 60*l**2 + 110*l - 56. Let j(a) = 4*a**3 - 60*a**2 + 111*a - 58. Let z(h) = -3*f(h) + 2*j(h). Factor z(p).
-4*(p - 13)*(p - 1)**2
Let v(a) be the third derivative of -2197*a**7/420 + 2873*a**6/48 + 1157*a**5/20 + 271*a**4/12 + 14*a**3/3 + a**2 + 101. Factor v(u).
-(u - 7)*(13*u + 2)**3/2
Let h be (-53 - -58)/(10/4). Let s(m) be the second derivative of 3/16*m**h + 0 + m + 5/16*m**3 + 7/32*m**4 + 9/160*m**5. Factor s(l).
3*(l + 1)**2*(3*l + 1)/8
Let i(q) be the first derivative of -q**6/720 + q**4/48 - 14*q**3/3 + 10. Let r(u) be the third derivative of i(u). Determine j so that r(j) = 0.
-1, 1
Factor 148*i**2 - 143*i - 65*i**2 - 175*i**3 - 177*i - 518*i**2 - 60.
-5*(i + 1)*(5*i + 6)*(7*i + 2)
Let y(l) be the third derivative of l**5/240 + l**4/8 - 7*l**3/6 - 2*l**2 + 75. Suppose y(i) = 0. Calculate i.
-14, 2
Factor 18 - 2/3*k**4 + 0*k - 12*k**2 - 16/3*k**3.
-2*(k - 1)*(k + 3)**3/3
Let j(i) be the second derivative of -1/90*i**5 + 3/2*i**2 + 0 + 2*i - 1/9*i**3 - 1/18*i**4. Let g(l) be the first derivative of j(l). Factor g(d).
-2*(d + 1)**2/3
Let u(y) be the second derivative of -y**6/220 - y**5/110 - y**4/132 - 4*y**3 - 3*y. Let l(p) be the second derivative of u(p). Suppose l(m) = 0. What is m?
-1/3
Find o, given that -2916/5 - 1/5*o**2 + 108/5*o = 0.
54
Let w be (3/(-30))/(216/(-20)). Let d(m) be the third derivative of 0 + 2/27*m**3 - 1/270*m**5 + w*m**4 - 8*m**2 + 0*m. Find l such that d(l) = 0.
-1, 2
Let q be (4/8)/(24/(-9) - -4). Let 0*n + 3/8*n**4 - q*n**2 + 0 + 0*n**3 = 0. What is n?
-1, 0, 1
Let m be (0/(-2))/(-2) - -2. Let z be (-2 - 1) + m*3. Let -5*x**2 - 4*x**4 - 6*x**3 + 2*x**2 - 2*x**z - x**2 = 0. Calculate x.
-1, 0
Suppose 3*c = 5*r + 4, r + 0*r - 1 = 0. Let q(z) be the first derivative of -19/3*z**c + 0*z + 3 - 7/4*z**4 + 3*z**2. Factor q(f).
-f*(f + 3)*(7*f - 2)
Let d be 3/12 - (49/(-7))/7. Let 0 + 0*y - 5*y**5 - d*y**2 + 5/4*y**4 + 5*y**3 = 0. What is y?
-1, 0, 1/4, 1
Factor -5*m**5 + 18*m**4 + 5*m**5 + m**5 - 2531*m**3 + 39*m + 2491*m**3 - 20 + 2*m**2.
(m - 1)**3*(m + 1)*(m + 20)
Let t(j) be the second derivative of j**7/924 - j**6/495 - j**5/660 - 13*j**3/2 - j - 19. Let x(h) be the second derivative of t(h). Factor x(f).
2*f*(f - 1)*(5*f + 1)/11
Let q(o) be the second derivative of o**8/47040 + o**7/8820 + o**6/5040 - 13*o**4/6 + 10*o. Let r(w) be the third derivative of q(w). Factor r(g).
g*(g + 1)**2/7
Let 12/11 + 2/11*m - 2/11*m**2 = 0. What is m?
-2, 3
Let g(v) = 2*v**2 - 9*v + 10. Let z = -23 + 26. Let a be g(z). Solve -1/2*h**3 + 3/2*h**2 - 1/2*h**4 + a + 5/2*h = 0.
-1, 2
Let r(f) be the first derivative of -8/7*f**3 - 10/7*f**2 + 0*f - 26 - 1/7*f**4. Let r(b) = 0. What is b?
-5, -1, 0
Let c(b) be the third derivative of 3*b**8/