*h**3 - 116/3.
(h - 116)*(h - 1)**2/3
Let d be (-3)/((1/(-23))/(-2 + 1)). Let x be -3 - (2 - d/(-12)). Factor -1/2 + x*s - 1/4*s**2.
-(s - 2)*(s - 1)/4
Suppose -6*l = -4*z - l + 6, -3*z = -2*l - 8. Let v be (3*12/(-135))/(6/(-15)). What is i in 1/3*i**5 + 5/3*i**3 - 4/3*i**z - v*i**2 + 0 + 0*i = 0?
0, 1, 2
Suppose 11*y = 5*y + 4*y. Let g(m) be the second derivative of 5*m + 0*m**4 + 0 + 0*m**3 - 1/120*m**5 + y*m**2. Factor g(x).
-x**3/6
Let z be 1/(-1) - (-3)/1. Solve -108 - 19*i**4 + 15*i**3 + 28*i**5 + 144*i - 50*i**4 + 321*i**z - 43*i**5 = 0.
-3, -1, 2/5, 2
Solve -9*y**3 - 12/5*y**4 - 58/5*y**2 + 0 - 1/5*y**5 - 24/5*y = 0 for y.
-6, -4, -1, 0
Let f(n) be the second derivative of -37*n**4/12 + 13*n**3/2 - n**2 - 230*n. Determine v so that f(v) = 0.
2/37, 1
Let k be (-2 + 4)/4*-12. Let w be 1/2*-1*k/12. Let 1/4*c + 0 + w*c**2 = 0. What is c?
-1, 0
Let z = -7096 - -7098. Factor -2/5*w**z + 4/5*w - 2/5*w**3 + 0.
-2*w*(w - 1)*(w + 2)/5
Let o(i) be the second derivative of 0*i**4 + 0*i**3 + 1/21*i**7 + 1/10*i**5 + 2/15*i**6 - 22*i + 0*i**2 + 0. Factor o(h).
2*h**3*(h + 1)**2
Suppose -f + 3 = 5*d, 0 = 2*f + 3*f - 15. Let j be 2 + 2 + d/(-4). What is a in 2*a**3 - 3*a**2 - 4*a**j + 10*a**3 - 9*a**2 + 4*a + 0*a = 0?
0, 1
Let f(i) be the third derivative of -i**5/130 - i**4/6 - 16*i**3/39 - 3*i**2 + 10. What is g in f(g) = 0?
-8, -2/3
Solve 3*d**3 + 4*d - 20/3*d**2 + 0 - 1/3*d**4 = 0.
0, 1, 2, 6
Suppose -3*o + 33 = 5*z, -3*o - 9 = -5*z + 3*z. Determine r, given that -z + 14*r + r - 3*r**3 + 3*r**4 - 86*r**2 + 77*r**2 = 0.
-2, 1
What is a in 0 - 118/15*a**2 + 8*a - 2/15*a**3 = 0?
-60, 0, 1
Let o(b) be the second derivative of 0*b**3 + 0 - 5*b - 1/120*b**5 + 0*b**4 + 1/480*b**6 - 2*b**2. Let c(s) be the first derivative of o(s). Factor c(r).
r**2*(r - 2)/4
Let v(o) be the third derivative of -8/3*o**3 + 0*o - 3/2*o**4 - 1/30*o**6 + 0 - 21*o**2 - 2/5*o**5. Let v(w) = 0. What is w?
-4, -1
Let r = 26 + -25. Let w(t) = 6*t**2 + 10*t + 2. Let c(x) = x**2 - x + 1. Let o(y) = r*w(y) - 2*c(y). Factor o(n).
4*n*(n + 3)
Let k = -11 + 28. Let l = k + -15. Let y(o) = -o**4 + 4*o**3 - 2*o**2 + 3. Let x(c) = -c**5 + c**4 - c - 1. Let g(f) = l*x(f) + y(f). Let g(p) = 0. Calculate p.
-1, 1/2, 1
Factor -12/5*z**2 + 0 - 2/5*z.
-2*z*(6*z + 1)/5
Factor -32/3*d**2 + 0 - 8/3*d**3 - 2/9*d**4 - 128/9*d.
-2*d*(d + 4)**3/9
Let j(z) be the first derivative of -z**4/16 - 4*z**3 - 89*z**2/8 + 69*z/2 + 192. Solve j(i) = 0.
-46, -3, 1
Let f(q) = q**2 + q + 3. Let a = 20 + -17. Let i(h) = -h**2 - h - 4. Let y = 9 - 5. Let v(r) = a*i(r) + y*f(r). Factor v(b).
b*(b + 1)
Factor -4*m**2 - 11 + 11 - 368*m + 292*m.
-4*m*(m + 19)
Let c(b) be the third derivative of b**7/315 - 17*b**6/180 + 8*b**5/9 - 16*b**4/9 + 14*b**2 + 4. Let c(r) = 0. Calculate r.
0, 1, 8
Solve -10*q**3 - 53*q**2 + 5*q**3 - 12*q**2 = 0.
-13, 0
Let x(a) be the second derivative of 0 + 1/189*a**7 + 0*a**3 - 1/90*a**5 + 8*a + 0*a**4 + 0*a**2 + 0*a**6. Factor x(k).
2*k**3*(k - 1)*(k + 1)/9
Suppose 0*z + 3*z - 6 = 0. Find j, given that 3*j**3 - 5*j**z - 5*j + 8 + 5*j**3 - 3 - 3*j**3 = 0.
-1, 1
Let d be (-4 - -1) + 4 + 8 + -3. Let d*m - m**4 - 8 + 38*m**2 + 2*m + 7*m**4 + 28*m**3 = 0. Calculate m.
-2, -1, 1/3
Let o = 4 + 1. Solve 0*r**2 + 2*r**2 - o*r + 4*r**2 - r**2 = 0 for r.
0, 1
Let t(r) = 10*r**4 + 40*r**2 - 50*r - 25. Let c(a) = -a**4 - 5*a**2 + 6*a + 3. Let l(q) = -25*c(q) - 3*t(q). Factor l(z).
-5*z**2*(z - 1)*(z + 1)
Solve 35*o**2 - 30*o**2 - 3*o - 3*o**3 - 5*o + 2*o**3 + 4 = 0 for o.
1, 2
Let h(l) = l**3 - 9*l**2 + 9*l - 3. Let k be h(8). Factor -9*c**k + 23*c**5 - 4*c**4 + 24*c**4 - 10*c**5.
4*c**4*(c + 5)
Let p(s) be the first derivative of s**6/3 - 17*s**5/2 + 21*s**4/8 - 299. Let p(z) = 0. Calculate z.
0, 1/4, 21
Let z = -10 - -13. Suppose 0*b - b = -1, 5*f - 18 = -z*b. Solve 96 + 6*g**3 - 288*g - 12*g**3 - 15*g**f - 162*g**2 = 0.
-4, 2/7
Factor 20/3*s**2 + 50/3 - 205/3*s.
5*(s - 10)*(4*s - 1)/3
Let t(o) be the second derivative of 5*o - 1/5*o**5 - 2/3*o**4 + 0*o**2 - 2/3*o**3 + 0. Find g, given that t(g) = 0.
-1, 0
Suppose -4*j + 4*w + 5 = -23, 0 = -2*j + 5*w + 23. Let v be j/2 - 2/(-1). Factor -h**5 + 4*h**3 - 2*h - v + 2*h**4 - 4*h**2 + 6 - h**5 + 0*h**4.
-2*(h - 1)**3*(h + 1)**2
Let k(m) be the first derivative of -5*m**4/4 + 40*m**3/3 + 10*m**2 - 160*m + 424. Solve k(i) = 0 for i.
-2, 2, 8
Let h(x) be the first derivative of x**6/57 - 22*x**5/95 + 47*x**4/38 - 194*x**3/57 + 96*x**2/19 - 72*x/19 + 468. Solve h(p) = 0.
1, 2, 3
Let r(h) be the third derivative of 0*h - 54*h**3 - 3*h**4 - 22*h**2 + 0 - 1/15*h**5. Suppose r(o) = 0. Calculate o.
-9
Let q be -2*3/(-12) + 0. Let g = -1165/4 + 292. Factor g*p**3 - 3/4*p + q - 1/2*p**2.
(p - 1)*(p + 1)*(3*p - 2)/4
Suppose -18*f**2 - 16*f**2 - 423*f**3 - 2*f**2 + 214*f**3 + 64*f + 211*f**3 = 0. Calculate f.
0, 2, 16
Let w(k) = k**2 + 22*k + 43. Let p be w(-20). Determine f so that 3/2*f**2 - p - 3/2*f = 0.
-1, 2
What is d in -73008/7 + 4684/7*d**3 - 244/7*d**4 + 11232*d - 30060/7*d**2 + 4/7*d**5 = 0?
3, 26
Let z be ((-510)/70 - -7)*3/(-60). Let u(w) be the third derivative of -z*w**5 + 1/12*w**4 + 0 - 2/21*w**3 + 0*w - 3*w**2. Find i, given that u(i) = 0.
1/3, 2
Let w be ((-14)/(-24))/((-182)/(-78)). Solve 0 - 1/4*n - w*n**2 = 0.
-1, 0
Let b(q) be the third derivative of q**5/5 - 5*q**4/8 + q**3/2 - 408*q**2. Determine h so that b(h) = 0.
1/4, 1
Suppose 246*i = -4*r + 250*i + 4, 3*r + i - 11 = 0. Factor 0*t - 12/5*t**4 + 2*t**r + 0 - 2/5*t**2.
-2*t**2*(2*t - 1)*(3*t - 1)/5
Let b(a) = -17*a**3 + 65*a**2 + 6*a - 43. Let q(r) = -6*r**3 + 22*r**2 + 2*r - 14. Let j(g) = 4*b(g) - 11*q(g). Determine h, given that j(h) = 0.
-1, 1, 9
Let v = 349 + -504. Let u = v - -777/5. Determine n so that 7/5*n + 1/5*n**4 + 9/5*n**2 + u + n**3 = 0.
-2, -1
Suppose 104 + 197*y**2 - 51*y**2 + 64*y**2 + 18*y**3 - 304*y = 0. What is y?
-13, 2/3
Let o(t) be the second derivative of -t**5/80 + t**4/16 - t**3/12 + t - 23. Factor o(b).
-b*(b - 2)*(b - 1)/4
Let h(y) = 11*y**2 + 66*y - 21. Suppose 0*p = 5*p + 20. Let k(f) = -120*f**2 - 725*f + 230. Let t(l) = p*k(l) - 45*h(l). Factor t(c).
-5*(c + 5)*(3*c - 1)
Let t(o) = -2*o**3 + 17*o**2 - 5*o - 3. Let v be t(8). Let n be (-48)/(-5)*(v/9 - 2). Factor 8/5*i**2 + 4/5*i**3 - 28/5*i + n.
4*(i - 1)**2*(i + 4)/5
Let t(u) = -51*u**3 + 104*u**2 - 25*u - 21. Let r(o) = -17*o**3 + 35*o**2 - 8*o - 6. Let z(x) = 7*r(x) - 2*t(x). Factor z(v).
-v*(v - 2)*(17*v - 3)
Factor -472/3*g**2 - 28/3*g**3 - 2176/3*g - 512.
-4*(g + 8)**2*(7*g + 6)/3
Let q be (2 - 0)/(12/18). Suppose -2*s + o = -41 + 1, 12 = 3*o. Find z, given that -s*z + 2*z**3 - q*z**3 + z**2 + 2*z**2 + 20*z = 0.
0, 1, 2
Let y(a) = -5*a**3 + 7*a**2 - 18*a - 38. Let k(t) = -42*t**3 + 54*t**2 - 143*t - 307. Let u(m) = 6*k(m) - 51*y(m). Factor u(v).
3*(v - 8)*(v - 4)*(v + 1)
Suppose 2*v**2 - 54 + v**2 - 2*v**2 + 21*v + 2*v**2 = 0. Calculate v.
-9, 2
Let y(l) be the second derivative of 361*l**6/75 + 38*l**5/25 + 2*l**4/15 - 33*l. Find n such that y(n) = 0.
-2/19, 0
Let j(z) be the third derivative of -z**5/60 - z**4 - 21*z**3/2 - 85*z**2. Let j(f) = 0. Calculate f.
-21, -3
Let y(u) = 89*u**3 - 2*u**2 + 1. Let n be y(1). Let z be (-4 - n/(-12))*3. Factor -5 + 2 + m**2 + 8*m - z*m.
(m - 3)*(m + 1)
Find p, given that 0 + 1/2*p**2 - 29*p = 0.
0, 58
Let j(h) be the second derivative of h**6/360 - h**4/24 + 5*h**3/2 - 5*h. Let l(r) be the second derivative of j(r). Factor l(q).
(q - 1)*(q + 1)
Let l(o) be the third derivative of -2*o + 0 - 361/5*o**5 + 38/3*o**4 - 8/9*o**3 - 2*o**2. Factor l(u).
-4*(57*u - 2)**2/3
Let y(w) be the second derivative of 0 - 9*w + 1/42*w**4 + 81/7*w**2 - 6/7*w**3. Factor y(l).
2*(l - 9)**2/7
Let v(k) be the first derivative of -k**3/3 + k**2 - 6*k + 7. Let x(a) = 3*a**2 - 5*a + 19. Let l(t) = -21*v(t) - 6*x(t). Factor l(c).
3*(c - 2)**2
Determine p, given that 5*p**3 + 7540*p**4 + 0*p**3 - 7535*p**4 = 0.
-1, 0
Let o(a) be the first derivative of -3/4*a**4 - 46 + 0*a**3 + 0*a + 3/5*a**5 + 0*a**2. Factor o(s).
3*s**3*(s - 1)
Let j(g) = -10*g + 42. Let v be j(-9). Suppose -130*t = -v*t + 4. Solve -1/3*h**3 - 2/3*h**t + 0*h + 0 + 1/3*h**4 = 0.
-1, 0, 2
Let t be ((-2)/16)/(104/(-2080)). Solve -f + t*f**4 - 9/2*f**3 + 0 + 7/2*f**2 - 1/2*f**5 = 0.
0, 1, 2
Suppose d + u = 5*u - 19, -4*d -