. Solve z(p) = 0.
-1, 0, 1
Let g be 2/15 - (-2283)/2520. Let k = g + 9/56. Let 3/5*s**2 + 3/5 - k*s = 0. What is s?
1
Suppose -y = p - 23 - 3, -2*p = 3*y - 75. Solve -61*l**2 + 23*l**2 - 5*l**3 - 10*l + y*l**2 = 0 for l.
-2, -1, 0
Suppose 7*z + 16 = 58. Let v(f) be the third derivative of 1/480*f**z - 3*f**2 + 0 + 0*f**4 - 1/840*f**7 + 0*f + 0*f**5 + 0*f**3. Factor v(x).
-x**3*(x - 1)/4
Let n = -68 - -71. Factor -v**3 + 11 - n*v**2 + 9*v - 13 - 3.
-(v - 1)**2*(v + 5)
Let t(j) = -2*j**2 + j + 1. Let u(d) = -24*d**2 + 66*d - 42. Let n(k) = -10*t(k) + u(k). Factor n(l).
-4*(l - 13)*(l - 1)
Let j(f) be the first derivative of -3*f**5/35 - 3*f**4/7 + f**3 + 15*f**2/7 + 14. Factor j(h).
-3*h*(h - 2)*(h + 1)*(h + 5)/7
Let l(q) = -5*q + 35. Let y be l(-3). Let c be y/(-175) + 62/70. Factor -c*w**3 - 2/5*w**2 - 2/5 + 7/5*w.
-(w - 1)*(w + 2)*(3*w - 1)/5
Let x = 517 + -514. Find h such that 0 - 15*h**5 - 12/7*h**2 + 93/7*h**4 + 0*h + 24/7*h**x = 0.
-2/5, 0, 2/7, 1
Let x(u) = -u**3 + 4*u**2 + 4*u - 10. Let t be x(4). Let b be ((-9)/6)/(t/(-8)). Factor 0*c**4 + 6*c - 6*c**3 + 4*c**4 - 3*c**b - c**4 + 0*c**4.
3*c*(c - 2)*(c - 1)*(c + 1)
Factor 68/9*v + 578/9 + 2/9*v**2.
2*(v + 17)**2/9
Let q(s) be the first derivative of -s**4/22 + 92*s**3/33 - 492. Determine r, given that q(r) = 0.
0, 46
Let a = -47 - -49. Let x(b) be the first derivative of 1/6*b**a + 2/3*b - 2 - 1/9*b**3. Factor x(z).
-(z - 2)*(z + 1)/3
Let t(a) = a**3 - a**2 + a + 1. Let c(f) = -57 + f**2 + 4*f**3 - 2*f**3 + 58 - 2*f**2. Let g(o) = c(o) - t(o). Factor g(r).
r*(r - 1)*(r + 1)
Suppose 3*j - 6 = -0*j. Factor 108 + 0*p**2 + 144*p + 27*p**2 + 3*p**3 - 17*p**j + 29*p**2.
3*(p + 1)*(p + 6)**2
Suppose -2*y - 4*c = -42, -2*c - 3 = -4*y + 41. Let 6 - 4*h + 7 - 20*h**2 - y = 0. Calculate h.
-1/5, 0
Let w = 62/3 + -19. Let s(n) be the second derivative of 0*n**3 + 0 - 3*n - 4/21*n**7 - w*n**4 + n**2 - n**6 - 2*n**5. Let s(d) = 0. What is d?
-1, 1/4
Let p be (-465)/(-279)*2/10. Let o = 92/3 + -30. Find j, given that o + p*j - 1/3*j**2 = 0.
-1, 2
Let i = -240 + 246. Let n(p) be the second derivative of 0 + 1/40*p**5 + 0*p**2 + 3*p - 1/60*p**i + 0*p**4 + 0*p**3. What is y in n(y) = 0?
0, 1
Let c = -3442 + 6891/2. Factor -c + 1/2*u**2 - 3*u.
(u - 7)*(u + 1)/2
Let d be (-1 - 3) + 4 + 4. Let -10*a**d + 22*a**5 - a - 17*a**5 + a + 5*a**3 = 0. Calculate a.
0, 1
Let j(u) be the first derivative of -u**5/240 - u**4/32 + u**2/2 - 24. Let v(l) be the second derivative of j(l). Factor v(w).
-w*(w + 3)/4
Let j(v) = -2*v**2 + 8*v - 2. Let a be j(3). Factor 5*x**2 + 2*x - 2*x**2 - a*x**2 + 3.
-(x - 3)*(x + 1)
Let y(d) = 7*d**2 - 13*d + 4. Let t(w) = -155*w**2 + 285*w - 90. Let a(p) = 2*t(p) + 45*y(p). Determine f, given that a(f) = 0.
0, 3
Factor -42 + 20*k**2 + 16*k + 3*k**3 + 0*k**3 - 111*k + 112 + 2*k**3.
5*(k - 2)*(k - 1)*(k + 7)
Let z(u) be the first derivative of 2*u**3/33 + 9*u**2/11 + 40*u/11 + 149. Find d such that z(d) = 0.
-5, -4
Let o = 5 - 1. Solve -2 - o*l**2 - 2*l + 18*l - 14 = 0.
2
Let y(q) = 7*q**2 - 14*q + 16. Let m(c) = -c + 6. Let l be m(7). Let v(t) = -t**2 + t. Let x(k) = l*y(k) - 6*v(k). Factor x(p).
-(p - 4)**2
Let y(k) be the first derivative of k**3/24 - 3*k**2/4 + 11*k/8 + 164. Solve y(o) = 0 for o.
1, 11
Factor -2*i**3 - 8*i**2 + 0*i**2 + 938*i + 933*i - 1807*i.
-2*i*(i - 4)*(i + 8)
Let u be ((-25)/4*1/(-5))/(54/48). Let u*z**4 - 8/9 + 0*z + 34/9*z**2 + 4*z**3 = 0. Calculate z.
-2, -1, 2/5
Let p(g) be the third derivative of -g**6/160 - g**5/20 - 3*g**4/32 + 320*g**2. Suppose p(i) = 0. What is i?
-3, -1, 0
Let l(h) be the first derivative of 0*h**3 + 0*h - 1/8*h**2 + 2 + 1/16*h**4. What is w in l(w) = 0?
-1, 0, 1
Let o be (0 + 1)*(0/(-30))/3. Find n, given that -2/7*n**4 + 0*n + 2/7*n**3 + 0 + o*n**2 = 0.
0, 1
Let f(k) = -k - 6. Suppose -36 = 4*z - 3*g, -4*z + 9*z + 76 = -4*g. Let y be f(z). Factor y*u - 6*u + u**3 - u.
u*(u - 1)*(u + 1)
Let u = 386 + -232. Let b = u + -154. Factor 2/17*p**2 - 2/17 + b*p.
2*(p - 1)*(p + 1)/17
Factor 3/2*h**2 - 9 - 15/2*h.
3*(h - 6)*(h + 1)/2
Let o be (-1)/(52/(-8)) + 36/(-234). Let g(i) be the second derivative of 0*i**2 - 6*i - 1/36*i**3 + 0*i**6 + 1/60*i**5 + o*i**4 - 1/252*i**7 + 0. Factor g(s).
-s*(s - 1)**2*(s + 1)**2/6
Let y(z) = -11*z**3 + 13*z + 13. Let c be 8/(-36) - 4/(-18). Suppose 4*w + 16 - 68 = c. Let r(f) = -5*f**3 + 6*f + 6. Let n(b) = w*r(b) - 6*y(b). Factor n(j).
j**3
Let w(s) be the third derivative of s**8/1008 - s**7/315 + s**6/360 - 212*s**2. Find p such that w(p) = 0.
0, 1
Let z be (3/(-12) + 0)*(-168)/210. Solve -3/5*m**2 + 1/5*m**4 - z*m**3 + 2/5 + 1/5*m = 0 for m.
-1, 1, 2
Let f be ((-178)/14 - -5)/(-1). Let s = f + -148/21. Let 0 + 2/3*z**4 - 2/3*z**3 - 2/3*z**2 + s*z = 0. Calculate z.
-1, 0, 1
Let q = 1180 - 1178. Let -1/10*p**q + 1/10*p + 0 = 0. Calculate p.
0, 1
Let k be (4/250)/((-1)/(-30)) + (-4)/50. Solve -4/5*x + k*x**2 + 0 = 0.
0, 2
Let p(f) be the first derivative of -4*f**3 - f**4 - 2 + 6 - 4*f + 6 - 6*f**2. Factor p(q).
-4*(q + 1)**3
Let w(x) be the third derivative of x**8/12096 + x**7/1512 - 23*x**5/60 - 15*x**2. Let f(m) be the third derivative of w(m). Find c, given that f(c) = 0.
-2, 0
Let b = 52 + -47. Let u = -5 + b. Solve 0 - 3/5*l**3 + 0*l + u*l**2 = 0 for l.
0
Let c(a) be the second derivative of 0*a**2 - 6*a - 1/8*a**5 + 1/18*a**3 - 19/180*a**6 + 0 - 1/36*a**7 - 1/72*a**4. Let c(z) = 0. Calculate z.
-1, 0, 2/7
Find k, given that -2/3*k**3 + 10*k - 4*k**2 - 16/3 = 0.
-8, 1
Let x(f) be the third derivative of -f**5/360 - f**4/48 - 36*f**2. Factor x(b).
-b*(b + 3)/6
Let t = 47 + -45. Factor -13*b**t - 3*b**3 - 2*b**2 + 3*b**2 - 12*b.
-3*b*(b + 2)**2
Find h such that -43/5*h + 44/5*h**2 - 1/5 = 0.
-1/44, 1
Let l(j) be the second derivative of 1/48*j**4 + 0 + 0*j**2 - 7*j + 1/24*j**3. Factor l(d).
d*(d + 1)/4
Let w be 310/70 + (-15)/35. Let v(a) be the second derivative of 0 - 5*a + 1/12*a**w + 0*a**2 + 1/6*a**3. Let v(y) = 0. Calculate y.
-1, 0
Let g(h) = -3*h + 1. Let c(d) = -5*d**4 + 50*d**3 - 85*d**2 + 37*d + 1. Let s(z) = -c(z) + g(z). Solve s(i) = 0 for i.
0, 1, 8
Let c = -44457 - -44457. Factor -3/4*l**5 + 3/4*l**4 + c*l + 0*l**3 + 0*l**2 + 0.
-3*l**4*(l - 1)/4
Let y be (-9)/(-11) + 4/22. Suppose -2*g = 5*i - 25 - y, 5*i - 5*g = 5. Factor 2*o**2 + o**3 - 3*o**3 + 2*o**i - 2*o**3.
2*o**2*(o - 1)**2
Let v(i) be the first derivative of -3*i**5/5 - 15*i**4/4 - 7*i**3 - 9*i**2/2 - 51. Factor v(f).
-3*f*(f + 1)**2*(f + 3)
Factor 0 + 598/3*o**3 + 62/3*o**4 + 0*o + 2/3*o**5 + 1690/3*o**2.
2*o**2*(o + 5)*(o + 13)**2/3
Let x = 77861/51910 + 2/25955. Suppose -4*y + 5*n - 12 = 0, -y - 4*n = -7 - 11. Determine k so that 2*k**4 - 2*k - x*k**2 + y*k**3 - 1/2 = 0.
-1, -1/2, 1
Factor -11/6*u**3 + 1/3 + 11/6*u - 1/3*u**2.
-(u - 1)*(u + 1)*(11*u + 2)/6
Let y(n) = n**3 + n**2 - n. Let c(d) = -13*d**3 - 9*d**2 + 13*d - 2. Suppose -5*j + 66 = -2*j. Let r = 51 + -49. Let b(p) = j*y(p) + r*c(p). Factor b(z).
-4*(z - 1)**2*(z + 1)
Let u(a) be the second derivative of -a**6/50 - 9*a**5/100 + a**4/5 + 6*a**3/5 + 7*a + 1. Factor u(q).
-3*q*(q - 2)*(q + 2)*(q + 3)/5
Suppose 0 = -2*d - 0 + 2. Suppose -d = -5*k + 9. Factor 3*q**2 + k*q**2 - q**2 - 4*q.
4*q*(q - 1)
Let x(q) be the second derivative of -1/5*q**2 - 11*q - 1/6*q**3 + 0 - 1/60*q**4 + 1/50*q**5. Solve x(m) = 0 for m.
-1, -1/2, 2
Let m(g) be the second derivative of 0*g**2 - 19*g - 1/3*g**4 - 1/15*g**6 + 13/60*g**5 + 2/9*g**3 + 1/126*g**7 + 0. Suppose m(l) = 0. What is l?
0, 1, 2
Let o = -72 - -66. Let q be ((-3)/27)/(1/o). Factor -a**2 - 5/3*a + q.
-(a + 2)*(3*a - 1)/3
Let l(k) be the first derivative of -k**6/18 + k**5/15 + 5*k**4/12 - k**3/9 - 4*k**2/3 - 4*k/3 - 73. Solve l(o) = 0 for o.
-1, 2
Let j(s) = s**3 + 6*s**2 + 5*s + 3. Let g be j(-5). Let r be 2 - 0*(-1)/g. Factor -7*u**4 - r*u**3 - 4 - 5*u**5 + 0*u**4 + 4.
-u**3*(u + 1)*(5*u + 2)
Let c(s) be the first derivative of -12*s - 5*s**4 + 30*s**2 + 15*s**5 - 10 - 9*s**4 + 11*s**3 - 32*s**3 - s**4. Factor c(z).
3*(z - 1)*(z + 1)*(5*z - 2)**2
Suppose -5*k - 5 = -5*t, t + 1 = k + k. Suppose 5*v = 6*v - t. Find b such that 2/3*b**4 - 4/3 - 2*b + 2*b**v + 2/3*b**2 = 0.
-2, -1, 1
Find o, given that -7*o**3 + 2*o**2 - 16*o**4 + 15*o**4 + o - o**2 + 6*o**3 = 0.
-1, 0, 1
Let u(b) be the first derivative of 363*b**4/4 - 1