i**3 + 0 + 5/4*i**4 + 0*i = 0. What is i?
0, 1, 3
Suppose 2*m + 5*m = 70. Let y be 105/m + -4 - 4. Factor -1/4*v**5 - 5/4*v + y*v**2 + 5/4*v**4 + 1/4 - 5/2*v**3.
-(v - 1)**5/4
Factor 2/15*u**4 + 0 + 12/5*u**2 - 38/15*u**3 + 0*u.
2*u**2*(u - 18)*(u - 1)/15
Factor 3/4*w**2 + 3*w + 0.
3*w*(w + 4)/4
Suppose 0 = -3*p - 3*w + 27, 612*w = 2*p + 611*w + 3. Factor 0 + 1/4*g**3 - 3/4*g + 1/2*g**p.
g*(g - 1)*(g + 3)/4
Let w(k) = -k**4 + k**3 - k + 1. Let g(i) = 16*i**4 - 72*i**3 + 300*i**2 - 488*i - 12. Let z(c) = -g(c) - 12*w(c). Solve z(a) = 0.
0, 5
Let x = 186 - 186. Let r(c) be the first derivative of x*c**3 + 0*c**2 + 0*c + 4 + 0*c**4 + 3/10*c**5. Find z such that r(z) = 0.
0
Factor 2/7*l**2 + 4/7 + 6/7*l.
2*(l + 1)*(l + 2)/7
Let i(t) be the second derivative of t**6/2 + 12*t**5/5 + 39*t**4/20 - 8*t**3 - 96*t**2/5 + 115*t. Determine s so that i(s) = 0.
-8/5, -1, 1
Let w(z) be the first derivative of -15*z**4 - 21*z**3 + 117*z**2/2 + 6*z + 1. Factor w(l).
-3*(l - 1)*(l + 2)*(20*l + 1)
Let j(o) be the third derivative of -o**6/900 - 71*o**5/450 - 1147*o**4/180 + 1369*o**3/15 - 337*o**2. Factor j(t).
-2*(t - 3)*(t + 37)**2/15
Let 1/6*a + 1/6*a**5 + a**4 - 1/3*a**3 - 2*a**2 + 1 = 0. Calculate a.
-6, -1, 1
Let r(t) = t**5 + t + 1. Let u(o) = 186*o**5 - 48*o**4 - 108*o**3 - 33*o**2 - 9*o - 6. Let h = 17 - 11. Let p(a) = h*r(a) + u(a). Suppose p(d) = 0. Calculate d.
-1/4, 0, 1
Let k(m) be the first derivative of 0*m**2 + 1/9*m**3 + 1/36*m**4 + 4 + m. Let y(z) be the first derivative of k(z). Factor y(o).
o*(o + 2)/3
Factor r + 1 + 1/4*r**2.
(r + 2)**2/4
Suppose -4*h = 2*y - 9 - 5, 4*h + 3*y = 15. Suppose -h*v = -2*v - 3. Factor -4*t**5 - 12*t**4 + 12*t**2 - 2*t**5 - 27*t**3 + 30*t**4 + v*t**5.
-3*t**2*(t - 4)*(t - 1)**2
Let o(q) be the first derivative of -4*q**5/5 - 34*q**4 - 1396*q**3/3 - 2040*q**2 - 3600*q - 130. Determine c so that o(c) = 0.
-15, -2
Let t = -41498 + 41500. Factor 2/7*o**4 - 16/7 + 0*o**3 - 36/7*o - 22/7*o**t.
2*(o - 4)*(o + 1)**2*(o + 2)/7
Let m(j) be the third derivative of -j**6/780 + j**5/65 + 5*j**4/52 + 8*j**3/39 - 3*j**2 + 3*j. Factor m(o).
-2*(o - 8)*(o + 1)**2/13
Suppose 8*y = -18*y. Let t(p) be the second derivative of p + 0*p**3 - 2/9*p**4 + y*p**5 + 2/45*p**6 + 2/3*p**2 + 0. Let t(g) = 0. What is g?
-1, 1
Let g(r) be the second derivative of -2*r**2 - 1/15*r**5 + 0*r**4 - 5*r + 0 + 8/3*r**3. Let u(z) be the first derivative of g(z). Factor u(y).
-4*(y - 2)*(y + 2)
Let c be 1 + (-4)/(-3)*135/60. Let m(k) be the third derivative of 0*k + 0 - 7*k**2 - 1/36*k**c + 0*k**3 - 1/20*k**5. Let m(y) = 0. Calculate y.
-2/9, 0
Factor 1/5*g**2 - 1/5 - 1/5*g**3 + 1/5*g.
-(g - 1)**2*(g + 1)/5
Solve 71*n**2 - 430*n + 72*n**2 + 97*n**2 + 40 - 74*n**2 + 39*n**2 = 0.
4/41, 2
Suppose 3 + 0 = -q. Let i(n) = 7*n**2 + 22*n. Let l(y) = 2*y**2 + 7*y. Let s(d) = q*i(d) + 8*l(d). Determine t so that s(t) = 0.
-2, 0
Let j(x) be the second derivative of 0*x**3 - 33*x + 0*x**2 - 1/315*x**7 + 1/225*x**6 + 0 - 1/90*x**4 + 1/150*x**5. Factor j(m).
-2*m**2*(m - 1)**2*(m + 1)/15
Let y = 19 + -15. Suppose -3*u = i - u - y, 3*u - 5 = -i. Suppose -6*j - 8*j**2 + 5*j**i - j**2 + 2*j**3 = 0. What is j?
-1, 0, 3
Let w = -535/118 - -2/59. Let r = 43/6 + w. Factor 0 + 0*t + 4/3*t**2 + 5/3*t**4 - r*t**3 - 1/3*t**5.
-t**2*(t - 2)**2*(t - 1)/3
Suppose 2*r = -2*g - 34, 0 = -4*g + 2*r - 44 - 12. Let h be (2 - g/(-9))*6. What is u in 4 + 2*u**h + 5*u**2 + u + 5*u - 5*u**2 = 0?
-2, -1
Let q(i) be the third derivative of i**8/216 + i**7/105 + i**6/270 - 3*i**2 + 7. Suppose q(u) = 0. What is u?
-1, -2/7, 0
Suppose 7 + 1 = 4*w. Suppose -w*o + 3 = -1. Suppose -9*d - 9*d**2 - 4 - 3*d**2 - 5*d + o*d**2 = 0. Calculate d.
-1, -2/5
Let j(r) be the third derivative of -2*r**7/945 + r**6/27 - 4*r**5/15 + 28*r**4/27 - 64*r**3/27 - 213*r**2. Suppose j(c) = 0. What is c?
2, 4
Suppose h = -2*h + 6. What is x in 10*x**5 + 2*x**2 + 15*x**5 - 4*x**h - 35*x**5 - 19*x**4 - 11*x**3 = 0?
-1, -1/2, -2/5, 0
Let u(q) be the second derivative of 0*q**2 + 0*q**4 - 6*q + 4/9*q**3 - 1/45*q**6 - 1/10*q**5 + 0. Suppose u(k) = 0. Calculate k.
-2, 0, 1
Let p be (-536)/1742*26/(-12). Determine d, given that p + 4/3*d + 2/3*d**2 = 0.
-1
Let o(c) be the second derivative of 0 - 1/42*c**7 + 0*c**4 + 0*c**5 - 1/30*c**6 + 5*c + 0*c**3 + 0*c**2. Factor o(a).
-a**4*(a + 1)
Let i(b) be the first derivative of 4*b**3/3 + 60*b**2 + 224*b - 49. Factor i(o).
4*(o + 2)*(o + 28)
Let n(p) = p - 13. Let j be n(20). Suppose 0 = 5*f - 8 - j. Solve -2/5*c**2 + 0 + 2/5*c**f + 0*c = 0 for c.
0, 1
Let k(n) be the second derivative of 2*n**6/45 - 4*n**5/15 + n**4/3 + 8*n**3/9 - 8*n**2/3 + 22*n - 2. Solve k(j) = 0.
-1, 1, 2
Let v(p) be the first derivative of p**6/480 - p**5/240 + 8*p**2 - 14. Let n(l) be the second derivative of v(l). Factor n(a).
a**2*(a - 1)/4
Let p(z) be the third derivative of -z**6/40 + z**5/2 - 9*z**4/8 + 9*z**2 - 2*z. Let p(d) = 0. Calculate d.
0, 1, 9
Let z = 36 - 1797/50. Let i(g) be the second derivative of 0*g**3 + z*g**5 + 0 - 1/15*g**6 + 3*g + 1/15*g**4 + 0*g**2. Suppose i(h) = 0. What is h?
-2/5, 0, 1
Let w(g) be the first derivative of -g**5/25 + g**4/5 - g**3/15 - 3*g**2/5 - 70. Suppose w(x) = 0. What is x?
-1, 0, 2, 3
Factor 41/7*p**2 + 43/7*p + 5/7*p**3 + 1.
(p + 1)*(p + 7)*(5*p + 1)/7
Factor 547 + 8*t - 1119 + 2*t**2 + 557 + 3*t**2 + 2*t.
5*(t - 1)*(t + 3)
Let n = 221 + -217. Let v be ((-6)/n)/((-9)/15). Determine z so that -v*z**2 - 7/2*z - 1 = 0.
-1, -2/5
Let 2*j**2 + 14*j - 472 + 247 + 245 = 0. Calculate j.
-5, -2
Let r = -41 - -43. Factor 33*q**2 + 2*q**5 + 36*q**3 + 6*q + 3*q + 7*q**r + 7*q + 14*q**4.
2*q*(q + 1)*(q + 2)**3
Let s = -1342 - -1344. Factor 7*p + 49/2 + 1/2*p**s.
(p + 7)**2/2
Let h be ((-9)/12)/((-16)/(-4672)). Let j = h + 221. Factor -1/3*y**3 + 0*y + 1/6*y**j + 0.
-y**2*(2*y - 1)/6
Let n(q) be the first derivative of 2 + 0*q**2 - 1/90*q**6 - 7/3*q**3 + 0*q + 0*q**5 + 1/6*q**4. Let c(d) be the third derivative of n(d). Factor c(a).
-4*(a - 1)*(a + 1)
Factor -4411*s**3 + 9*s**2 + 9*s**2 + 46*s**2 + 4387*s**3 - 4*s**4.
-4*s**2*(s - 2)*(s + 8)
Let m(w) be the third derivative of w**7/1155 + w**6/330 - 7*w**5/66 - 4*w**2 - 12. Solve m(p) = 0.
-7, 0, 5
Let t = 75/4 + -3817/204. Let l(m) be the first derivative of 6 - t*m**3 + 4/17*m - 1/17*m**2. Factor l(r).
-2*(r - 1)*(r + 2)/17
Determine u so that -50*u**2 - 137*u**2 + 2*u**2 + 41*u**2 - 4*u**4 + 20*u**3 + 28*u**3 + 128*u = 0.
0, 2, 8
Suppose 4*t = 5*a - 2*a - 14716, 0 = -3*a + 2*t + 14708. Factor -4897*m**4 - 12*m**3 + a*m**4 - 2 + 2 - 15*m**2.
3*m**2*(m - 5)*(m + 1)
Let z = 101 + -81. Suppose 0 = -22*k + 27*k - z. Factor -9/7*p**2 + 6/7*p + 3/7*p**k + 0*p**3 + 0.
3*p*(p - 1)**2*(p + 2)/7
Let x(d) = d. Let r(i) = -4*i**3 - 24*i**2 - 7*i + 40. Let t(u) = -r(u) + 5*x(u). Factor t(b).
4*(b - 1)*(b + 2)*(b + 5)
Let n = -110 + 190. What is o in 77*o**4 - 80*o + 12*o**3 + 80*o**2 - 52*o**4 - 40*o**4 + 8*o**3 - n = 0?
-2, -2/3, 2
Let a be (1 - 1 - 1635/872)/(-5). Let 3/8*o**2 + a*o**3 - 9/2 - 3*o = 0. What is o?
-2, 3
Let r(k) be the third derivative of -k**8/504 - k**7/135 + 7*k**6/540 + k**5/10 + 5*k**4/27 + 4*k**3/27 + 77*k**2. Suppose r(f) = 0. What is f?
-2, -1, -1/3, 2
Let t = -1/1602 + 2671/1602. Solve -1/3*d**3 + 0 + 5/3*d**2 - t*d**4 + 1/3*d = 0.
-1, -1/5, 0, 1
Factor 71*y**2 + 62*y**2 - y**4 + y**4 + 4*y**4 - 149*y**2.
4*y**2*(y - 2)*(y + 2)
Let f = -627/13 - -7131/143. Determine p, given that -30/11*p + 14/11*p**2 - 2/11*p**3 + f = 0.
1, 3
Let i be ((-1)/(-9))/((-21)/4230 - 0). Let f = -152/7 - i. Factor 1/3*h**5 - 2/3*h**2 + 4/3*h**4 - f - 5/3*h + 4/3*h**3.
(h - 1)*(h + 1)**3*(h + 2)/3
Let g(v) = -v - 10. Let p be g(-11). Suppose -3*j - 13 = -2*d, -4*d - 3 - p = 4*j. Factor 1/3*b**3 + 1/3*b - 2/3*b**d + 0.
b*(b - 1)**2/3
Let s(g) be the first derivative of 23*g**4/10 + 91*g**3/15 + 22*g**2/5 - g/5 + 150. Factor s(w).
(w + 1)**2*(46*w - 1)/5
Let o be (-7)/28*4/(-30). Let y(l) be the third derivative of 1/48*l**4 + 1/80*l**6 + 0*l + 0 - 3*l**2 + 0*l**3 - o*l**5. Suppose y(j) = 0. What is j?
0, 1/3, 1
Factor -4 + 0*z + 1/8*z**3 + 3/4*z**2.
(z - 2)*(z + 4)**2/8
Let l = 28 + -19. Suppose 2*x + x - l = 0. Find d, given that -5 - 29*d**3 - 37*d**x - 9*d**5 - 54*d**2 + 2 - 39*d**4 - 21*d = 0.
-1, -1/3
Let l(w) = -12*w + 14. Le