 + 1/4*x**5 + 0 + 27/4*x**2 - 9/4*x**3.
x**2*(x - 3)**2*(x + 3)/4
Let v(y) be the second derivative of -2*y**6/15 + y**5 - 7*y**4/3 + 2*y**3 + 10*y - 1. What is n in v(n) = 0?
0, 1, 3
Let j(g) be the third derivative of g**5/630 + g**4/252 - 8*g**3/9 - 6*g**2 - 5. Find a, given that j(a) = 0.
-8, 7
Let w(d) be the first derivative of 0*d + 0*d**3 - 5/2*d**2 + 5 + 0*d**4 - 1/20*d**5 - 1/20*d**6. Let r(j) be the second derivative of w(j). Factor r(a).
-3*a**2*(2*a + 1)
Let s be (-6)/(90/(-5))*2. Let i(c) be the first derivative of 2 + s*c + 1/6*c**2 - 2/9*c**3 - 1/12*c**4. Let i(j) = 0. What is j?
-2, -1, 1
Let d(n) be the first derivative of 2*n**6/3 - 4*n**5 + 3*n**4 + 20*n**3/3 - 8*n**2 + 101. Factor d(z).
4*z*(z - 4)*(z - 1)**2*(z + 1)
Let s(o) be the first derivative of o**5/30 + o**4/12 - o**3/6 - 2*o**2/3 - 2*o/3 + 33. Let s(f) = 0. Calculate f.
-2, -1, 2
Let g be 5/(140/(-203)) + 7 + (-495)/(-252). Factor -g*c + 10/7 + 2/7*c**2.
2*(c - 5)*(c - 1)/7
Let w(h) be the second derivative of -h**6/6 + 7*h**5/4 - 15*h**4/2 + 50*h**3/3 - 20*h**2 + 8*h - 4. Factor w(y).
-5*(y - 2)**3*(y - 1)
Let r(i) be the first derivative of 7*i**4/16 + 11*i**3/3 + 47*i**2/8 + 5*i/2 + 29. Find q, given that r(q) = 0.
-5, -1, -2/7
Let n(m) be the third derivative of m**5/5 + 285*m**4/8 + 71*m**3/2 + 219*m**2 - m. Factor n(r).
3*(r + 71)*(4*r + 1)
Let n(v) be the third derivative of -1/5*v**5 - 38*v**2 + 0 - 1/60*v**6 + 0*v + 0*v**4 + 0*v**3. Suppose n(d) = 0. Calculate d.
-6, 0
Suppose -422*m = -406*m - 48. Let f(i) be the first derivative of -2 + 1/30*i**4 - 7/15*i**2 + 8/15*i + 4/45*i**m. Factor f(a).
2*(a - 1)**2*(a + 4)/15
Let u be -8 + 9 - (1 + 17). Let i = 21 + u. Suppose 5*r**4 - 2*r**3 + r**3 + 4*r**2 - 9*r**i - 4*r**5 + 5*r**3 = 0. Calculate r.
-1, 0, 1
Let z = 103987/138660 + 2/34665. Factor -1/4*b - z*b**3 - 1/4 + 5/4*b**2.
-(b - 1)**2*(3*b + 1)/4
Let i(r) be the third derivative of 12*r**2 + 0*r**4 + 0 + 0*r**3 + 0*r - 1/525*r**7 - 1/300*r**6 + 0*r**5. Solve i(x) = 0.
-1, 0
Let x be (1 - 1)*5/(-45). Factor -14/3*u**4 - 6*u**3 - 4/3*u**2 + 0*u + x.
-2*u**2*(u + 1)*(7*u + 2)/3
Let x = -44 + 47. Let j(v) = 3*v - 7. Let c be j(x). Factor 3/2*s + 0 - 3/2*s**c.
-3*s*(s - 1)/2
Let z = 346 - 344. Let b = -10/17 + 64/51. Factor 2/3*t**z + 0 - 1/6*t**3 - b*t.
-t*(t - 2)**2/6
Let r(a) = a**3 - 7*a**2 + 4*a + 14. Let y be r(6). Suppose 156*b**4 - 3*b**3 + 0*b - 162*b**4 + 13*b**y - 4*b**2 - 3 + 3*b = 0. What is b?
-1, 1/2, 1
Let j be 256/(-3 + 5) - 2/7. Let x = 128 - j. Suppose -2/7*y**3 + 0*y**2 + 0*y + 0 - x*y**4 = 0. What is y?
-1, 0
Let i(b) be the first derivative of -2*b**6 - 22*b**5/5 + 13*b**4 + 16*b**3/3 - 20*b**2 + 6*b - 87. Determine l so that i(l) = 0.
-3, -1, 1/6, 1
Let k be -3 - ((-3040)/456 - (-2 - 1)*1). Factor -4/3 + k*g**2 + 2/3*g.
2*(g - 1)*(g + 2)/3
Let a be 3/((-12)/4)*-3. Suppose -f = -z + 1, -a*f + z = 3*z - 17. Factor 10*d - 5*d + f*d**2 - 5*d.
3*d**2
Let n(d) be the second derivative of d**5/240 - d**4/144 - d**3/18 + d**2/6 + 25*d - 2. Factor n(j).
(j - 2)*(j - 1)*(j + 2)/12
Let r(h) be the first derivative of -h**5/90 + h**3/27 + 11*h - 16. Let m(b) be the first derivative of r(b). Factor m(y).
-2*y*(y - 1)*(y + 1)/9
Let m(u) = u**3 - 7*u**2 + 7*u - 1. Suppose 4*g - 2*j - 24 = 0, -g + j = -5 - 1. Let o be m(g). Factor -o*f - 3*f**2 - 27 + 0*f**2 - 13*f.
-3*(f + 3)**2
Let o(w) be the second derivative of 0 - 9/8*w**2 - 17*w + 1/16*w**4 + 1/4*w**3. Factor o(d).
3*(d - 1)*(d + 3)/4
Let q = 4 + 28. What is c in 8*c - 42 + q*c + 42 - 4*c**2 = 0?
0, 10
Factor -14*v**5 + 4*v**2 + 31*v**3 - 40*v**5 - 10*v**5 - 3*v**3 + 32*v**4.
-4*v**2*(v - 1)*(4*v + 1)**2
Let t(y) be the second derivative of y**7/42 - 7*y**5/20 + y**4/2 - 69*y. Let t(a) = 0. What is a?
-3, 0, 1, 2
What is c in 27*c**3 - 11*c**3 + 14*c**5 - 13*c**4 - 8*c**2 + 32*c**4 + 19*c**4 = 0?
-2, -1, 0, 2/7
Let j be (-8)/(-14) - 0 - (-1230)/4725. Let z = j - 2/63. Factor 2/5*t**2 + 6/5*t + z.
2*(t + 1)*(t + 2)/5
Determine u so that -81/4 - 57/2*u**2 - 3*u**3 - 45*u + 3/4*u**4 = 0.
-3, -1, 9
Let m = 12 - 144. Let l be 3 + m/42 - -3. Solve -4/7 - l*h**2 + 18/7*h = 0.
2/5, 1/2
Solve 26 - 6*g**3 + 8*g**3 - 28*g**2 - 38*g**2 - 68*g - 26 = 0 for g.
-1, 0, 34
Suppose -17*i = -13*i - 24. Let q(y) be the third derivative of 1/80*y**i + 0*y**4 + 0*y + y**3 + 0 + 11*y**2 - 3/40*y**5. Factor q(b).
3*(b - 2)**2*(b + 1)/2
Let o(c) be the second derivative of 1/2*c**3 - 11*c + 0*c**2 + 0 + 1/8*c**4 - 3/40*c**5. Factor o(m).
-3*m*(m - 2)*(m + 1)/2
Factor 3/5*i**3 + 36/5*i + 6*i**2 - 216/5.
3*(i - 2)*(i + 6)**2/5
Let z(w) be the first derivative of -w**4/4 + 4*w**3 - 18*w**2 + 402. What is n in z(n) = 0?
0, 6
Factor 3*y**2 + 21*y - y**2 + 3*y**2 + 9*y + 40.
5*(y + 2)*(y + 4)
Let w be 1/(-1 + 0) + (-6)/3. Let l(c) = -2*c**2 - 23*c - 53. Let t(b) = -10*b**2 - 114*b - 264. Let u(y) = w*t(y) + 14*l(y). Find x, given that u(x) = 0.
-5
Find w, given that -14/3*w**3 + 4/3*w**2 + 10/3*w**4 + 0 + 0*w = 0.
0, 2/5, 1
Let o = -23352 - -23352. Let 6/19*u + o + 8/19*u**2 + 2/19*u**3 = 0. Calculate u.
-3, -1, 0
Let n(q) be the first derivative of 4*q**5/5 - 5*q**4 + 8*q**3 + 8*q**2 - 32*q + 78. Let n(i) = 0. What is i?
-1, 2
Suppose 24470*z + 2 + 4 - 24447*z - 17*z**3 - 4*z**4 - 8*z**2 = 0. What is z?
-3, -2, -1/4, 1
Suppose 2*y + 3*u = 7, 12*y + 5*u - 7 = 11*y. Suppose 4*c = y*d + 26, 20 = -2*d - 2*d. Factor -2/13*w + 4/13*w**2 - 4/13*w**c + 0*w**3 + 2/13*w**5 + 0.
2*w*(w - 1)**3*(w + 1)/13
Let b(c) be the second derivative of 5*c**7/56 + 43*c**6/120 + 9*c**5/80 - 47*c**4/48 - c**3 + c**2/2 - 3*c - 123. Determine z, given that b(z) = 0.
-2, -1, 2/15, 1
Let z = 723 + -723. Let t(w) be the third derivative of z + 1/840*w**8 + 0*w**5 - 1/300*w**6 + 0*w**3 + 12*w**2 + 0*w**7 + 0*w + 0*w**4. Factor t(n).
2*n**3*(n - 1)*(n + 1)/5
Suppose 3*p + 0*z + 5*z + 16 = 0, -2*z = p + 7. Let p*q**2 + 7*q**2 - 11*q**2 - 3*q = 0. What is q?
-3, 0
Let b(y) be the first derivative of 0*y + 9 + 2/15*y**3 + 0*y**2. Find i, given that b(i) = 0.
0
Let o be 2 - 0 - -2 - 2. Let r be (-185)/(-65) + (-4)/(-26). Factor w**2 - 4*w**2 + o*w**2 + 5*w - r*w.
-w*(w - 2)
Find u such that 33/7*u - 78/7 + 3/7*u**2 = 0.
-13, 2
Let k(d) be the third derivative of -5/204*d**4 - 1/510*d**5 + 0 + 0*d - 4/51*d**3 - 10*d**2. Find g, given that k(g) = 0.
-4, -1
Let t(y) be the third derivative of y**5/510 + y**4/68 + 2*y**3/51 + 53*y**2 + 2*y. Let t(i) = 0. What is i?
-2, -1
Let f(i) be the second derivative of -i**7/630 + i**6/135 + i**3/2 - 21*i. Let k(y) be the second derivative of f(y). Determine m so that k(m) = 0.
0, 2
Let s(p) = -4*p**3 - 32*p**2 + 89*p + 123. Let i(j) = 4*j**3 + 32*j**2 - 88*j - 124. Let r(v) = -3*i(v) - 4*s(v). Find y such that r(y) = 0.
-10, -1, 3
Let x = -1/344 + 6883/1032. Solve -20/3*f**3 + 5/3*f**4 - 20/3 + 5*f**2 + x*f = 0 for f.
-1, 1, 2
Let y(f) = -f**2 - 5*f + 8. Suppose -22 = n + 3*n + 2*v, -v = 4*n + 23. Let q be y(n). Factor 1/4*x**q - 3/4*x + 1/2.
(x - 2)*(x - 1)/4
Let v(a) = -2 - 2*a - 2*a**2 + 1 + 15*a**2 + 2. Let d be v(1). Factor d*c**3 - 12*c - 2*c**2 - 2 - 4*c**2 + 10 - 2*c**2.
4*(c - 1)*(c + 1)*(3*c - 2)
Determine r, given that 1/10*r**2 - 7/5*r + 49/10 = 0.
7
Let o(g) = -3*g**2 + 35*g - 43. Let u(l) = -13 - 2*l**2 + 0*l**2 - 4 - 5 + 18*l. Let y(r) = -2*o(r) + 5*u(r). Factor y(n).
-4*(n - 3)*(n - 2)
Suppose -p - 4 = -2*p. What is i in i**p + 2*i**4 + i**4 + 0*i**2 - 12*i**2 + 8*i = 0?
-2, 0, 1
Let x(o) be the third derivative of o**7/42 + 7*o**6/24 - 5*o**5/4 - 875*o**4/24 - 625*o**3/3 + 2*o**2 + 6. Suppose x(b) = 0. What is b?
-5, -2, 5
Let f(l) be the second derivative of -4/3*l**4 + 0 - 6*l**3 - 5*l - 4*l**2. Factor f(n).
-4*(n + 2)*(4*n + 1)
Let h(l) be the second derivative of -l**6/150 + 2*l**5/25 - 7*l**4/20 + 3*l**3/5 - 167*l. Factor h(d).
-d*(d - 3)**2*(d - 2)/5
Let t(a) be the first derivative of -1/2*a**4 - 25 - 10*a + 10/3*a**3 + a**2. Factor t(q).
-2*(q - 5)*(q - 1)*(q + 1)
Let p(i) = 3*i**2 - 12*i - 18. Suppose 2*t - 25 = -3*t. Suppose 0 = -t*b - 1 + 11. Let y(v) = v**2 - 6*v - 9. Let z(h) = b*p(h) - 5*y(h). Solve z(g) = 0.
-3
Determine w, given that -9/4*w**2 + 0 + 1/2*w + w**3 = 0.
0, 1/4, 2
Let b = 21 - 19. Suppose -b - 2 = -2*o. Factor 2/3*t**5 + 2/3*t + 8/3*t**o + 0 + 4*t**3 + 8/3*t**4.
2*t*(t +