x.
3*t*(t - 2)/2
Let f(l) be the first derivative of 2*l**5/45 - 13*l**4/18 + 14*l**3/9 + 13*l**2/9 - 44*l/9 + 188. Suppose f(i) = 0. What is i?
-1, 1, 2, 11
Let k(c) = -5*c**3 + c**2 + c + 1. Let u(j) = -190*j**3 - 170*j**2 - 255*j + 155. Let w(v) = -35*k(v) + u(v). Factor w(b).
-5*(b + 2)*(b + 12)*(3*b - 1)
Find a, given that -60 + 192 - 22 + 5*a**2 + 115*a = 0.
-22, -1
Suppose -54/11*t**5 + 12*t**4 + 0 + 12/11*t**2 + 86/11*t**3 + 0*t = 0. What is t?
-1/3, -2/9, 0, 3
Solve 167*h**2 - 287*h**2 - 76*h + 192 + 124*h**2 = 0 for h.
3, 16
Let l(c) = 35*c**4 - 170*c**3 - 55*c**2 - 5*c. Let s(m) = -17*m**4 + 85*m**3 + 28*m**2 + 2*m. Let a(t) = 2*l(t) + 5*s(t). Factor a(y).
-5*y**2*(y - 6)*(3*y + 1)
Let v(r) = r**4 - r**3 - 4*r**2 + 4*r + 4. Let l(k) = -k**3 + k**2. Let m(w) = 5*l(w) + 5*v(w). Factor m(g).
5*(g - 2)**2*(g + 1)**2
Let x(s) be the second derivative of -s**5/20 - s**4/2 + 5*s**3/2 + 50*s**2 - 28*s. Find u, given that x(u) = 0.
-5, 4
Find f, given that 22/7*f**2 - 2/7*f + 0 - 10*f**3 + 50/7*f**4 = 0.
0, 1/5, 1
Let z be ((-3)/(18/(-4)))/((-201)/(-469)). Factor 8/9 + z*m**3 + 16/9*m - 38/9*m**2.
2*(m - 2)*(m - 1)*(7*m + 2)/9
Suppose -2*i = -2*z - 3*z + 16, 4*z = -5*i + 26. Suppose -9*b + 7*b = -z. What is h in 0*h**b - 3*h + 3*h**3 + 3/2 - 3/2*h**4 = 0?
-1, 1
Suppose -58*z + 48*z**3 + 6 + 78 - 61*z**2 - 19*z**3 - 30*z**3 + 36 = 0. What is z?
-60, -2, 1
Let c(i) = -11*i**2 - 294*i + 84. Let k be c(-27). Let -45/2*b**2 + 6 + 21/4*b**4 + 15*b - 15/4*b**k = 0. What is b?
-2, -2/7, 1, 2
Let a(g) be the first derivative of 2*g**5/15 + g**4/2 + 4*g**3/9 - 122. Factor a(w).
2*w**2*(w + 1)*(w + 2)/3
Let m be 28/(-6)*28/(-343). Let i(j) be the first derivative of 1/7*j**2 - m*j**3 - 1/7*j**6 + 0*j + 8/35*j**5 + 1/7*j**4 + 2. Find b such that i(b) = 0.
-1, 0, 1/3, 1
Determine u, given that 25/6*u + 5/6*u**2 + 5 = 0.
-3, -2
Factor -2*z**2 + 80*z - 27 - 27 + 54.
-2*z*(z - 40)
Let -35/3*b**2 + 12 - 58*b + 17/2*b**3 - 5/6*b**4 = 0. What is b?
-2, 1/5, 6
Let v = 23 - 21. Factor -52*f - f**2 + 62*f + 4 - 10*f**3 - 3*f**v.
-2*(f - 1)*(f + 1)*(5*f + 2)
Suppose -5*o + 4*k = 35, -5*k + 15 + 13 = -o. Let q be o/30 - 69/(-90). Determine s so that q*s**2 + 6 - 4*s = 0.
3
Let v(q) be the third derivative of q**6/480 + q**3/2 - 50*q**2. Let s(u) be the first derivative of v(u). Factor s(h).
3*h**2/4
Let i(l) be the third derivative of 2*l**6/27 - 23*l**5/90 + l**4/3 + 7*l**3/2 + 22*l**2. Let n(h) be the first derivative of i(h). Find a such that n(a) = 0.
2/5, 3/4
Let o(z) be the second derivative of -z**4/48 + 19*z**3/24 - 111*z. Let o(g) = 0. Calculate g.
0, 19
Suppose -8 = -4*t - 5*y, -29*t + 10 = -24*t + y. Find i, given that -2/9 + 1/3*i + 2/9*i**t = 0.
-2, 1/2
Let l(h) = h**3 - 58*h**2 + 860*h - 4920. Let m(z) = -z**2 - z - 1. Let v(o) = -2*l(o) + 14*m(o). Suppose v(f) = 0. What is f?
17
Let i be 5 + -1 - 0/(-3). Suppose 3*n - 7 = -m, -9*m + 12*m = -2*n. What is s in 17*s**2 + 6*s**5 - 8*s**n + 2*s + 0*s**4 - 21*s**2 + 4*s**i = 0?
-1, 0, 1/3, 1
Suppose -5/2*n + 3 - 11/4*n**2 - 3/8*n**3 = 0. What is n?
-6, -2, 2/3
Let b(z) be the first derivative of 2*z**6/3 - 12*z**5/5 + 2*z**4 + 191. Let b(w) = 0. What is w?
0, 1, 2
Let f(a) = -3*a**5 - 5*a**4 + 7*a**3 - 7*a**2 - 4*a - 4. Let c(h) = -h**5 - h**2 - h - 1. Let w = -83 - -87. Let v(m) = w*c(m) - f(m). Solve v(i) = 0 for i.
0, 1, 3
Suppose 4*y - 4 - 4 = 0. Suppose -y*j = a - 5, 1 = -2*a + a. Solve -4*x + x**3 - 10*x**3 - 2*x - 3*x**4 - 15*x**2 - 3*x**j = 0 for x.
-2, -1, 0
Let t(b) be the first derivative of -b**3/24 + 11*b**2/8 - 121*b/8 - 110. Factor t(r).
-(r - 11)**2/8
Suppose 5*y = -83 + 63. Let d be (0 - 3)/(22/y - -4). Suppose -3/4 - 3/4*s**d + 3/2*s = 0. What is s?
1
Let y(g) be the first derivative of g**6/18 - g**5/15 - g**4/4 + g**3/9 + g**2/3 + 38. Find q, given that y(q) = 0.
-1, 0, 1, 2
Let c be (-19 + 16)*1*-1. Let a = -1 + c. Determine o so that 1 + 0 - 2*o**a - 1 = 0.
0
Let j(r) be the second derivative of 0 + 0*r**2 + 11*r + 1/336*r**7 + 0*r**3 + 1/96*r**4 + 1/80*r**6 + 3/160*r**5. Factor j(x).
x**2*(x + 1)**3/8
Find o such that 0*o**3 - 48*o + 54*o**2 + 12 - 81/4*o**4 = 0.
-2, 2/3
Factor 6*l**3 + 5*l - 1/2*l**4 - 21/2*l**2 + 0.
-l*(l - 10)*(l - 1)**2/2
Let g(d) be the first derivative of d**4/20 - 31*d**3/5 + 423*d**2/2 + 2209*d/5 + 231. Solve g(k) = 0.
-1, 47
Suppose 8 = 5*u - 7. Let z be (-3)/2 + (-14)/(-4). Determine h so that u + 0*h - 9*h + 3*h**z - h = 0.
1/3, 3
Suppose -t - 55 = -6*t. Let q(d) = 16*d**2 - d. Let s(f) = -47*f**2 + 2*f. Let c(m) = t*q(m) + 4*s(m). Factor c(o).
-3*o*(4*o + 1)
Let l(w) be the first derivative of 9*w**7/140 + 11*w**6/30 + 19*w**5/45 + 2*w**4/9 - w**3 + 14. Let r(b) be the third derivative of l(b). Solve r(x) = 0.
-2, -2/9
Let g(h) be the second derivative of 16*h**7/21 + 46*h**6/15 + 21*h**5/5 + 5*h**4/3 - 2*h**3/3 - 110*h. Suppose g(i) = 0. Calculate i.
-1, 0, 1/8
Let z(p) be the first derivative of -7*p**5/25 + 3*p**4/20 + 7*p**3/15 - 3*p**2/10 - 7. Solve z(o) = 0.
-1, 0, 3/7, 1
Suppose -11*z - 3*h = -8*z - 27, -z - 1 = -h. Factor 0 + 2/5*j + 16/5*j**3 + 32/5*j**z - 14/5*j**2.
2*j*(j + 1)*(4*j - 1)**2/5
Let m = -79 - -79. Let -10*z + 0*z**2 + 82 + m*z**4 + 10*z**3 - 86 + 6*z**4 - 2*z**2 = 0. What is z?
-1, -2/3, 1
Let d(c) be the first derivative of 20*c**5/7 + 265*c**4/7 + 1364*c**3/21 - 338*c**2/7 + 72*c/7 + 684. Let d(v) = 0. Calculate v.
-9, -2, 1/5
What is m in -51*m**2 + 867*m + 0 + 3/4*m**3 = 0?
0, 34
Let o be (-2)/8*2*(4 - 4). Let t(r) be the second derivative of 0 + 3/20*r**5 - 4*r + o*r**4 - 2*r**3 + 0*r**2. Factor t(l).
3*l*(l - 2)*(l + 2)
Factor -7*w**5 - 468*w**3 + 12*w**5 - 2*w**5 + 72*w**4 - 2*w**5 + 1296*w**2 - 1296*w - 5*w**5.
-4*w*(w - 6)**2*(w - 3)**2
Let v(x) be the second derivative of x**4/3 - 3*x**3 + 4*x**2 - x - 10. Find c, given that v(c) = 0.
1/2, 4
Let t(i) be the third derivative of -i**5/210 - i**4/21 - i**3/7 + 4*i**2 - 11. Factor t(z).
-2*(z + 1)*(z + 3)/7
Let x = 10 - 8. Factor -3*d + 5*d**4 - 9*d**3 - x*d**4 + 3*d + 12*d.
3*d*(d - 2)**2*(d + 1)
Let o(q) be the first derivative of 10 - 1/2*q**2 - 1/12*q**4 - 1/90*q**5 + 0*q + 4/9*q**3. Let l(b) be the second derivative of o(b). Factor l(u).
-2*(u - 1)*(u + 4)/3
Let v(n) be the first derivative of n**8/2184 - n**6/390 + n**4/156 + 7*n**2/2 - 10. Let r(h) be the second derivative of v(h). Factor r(i).
2*i*(i - 1)**2*(i + 1)**2/13
Let i(y) = -y**4 + y**3 - y**2 - 2*y - 2. Let w(m) = m**4 - 15*m**3 - 41*m**2 - 11*m + 76. Let u(g) = -2*i(g) - w(g). Factor u(n).
(n - 1)*(n + 3)**2*(n + 8)
Let v(f) = 12*f**4 + 15*f**3 - 141*f**2 - 39*f + 3. Let h(o) = -24*o**4 - 30*o**3 + 282*o**2 + 77*o - 5. Let w(i) = 3*h(i) + 5*v(i). Factor w(j).
-3*j*(j - 3)*(j + 4)*(4*j + 1)
Let g(t) be the first derivative of 2/15*t**3 + 1/5*t**2 - 4/5*t + 15. Factor g(o).
2*(o - 1)*(o + 2)/5
Suppose s - 6 = 2. Suppose b = 10 - s. Let -b*u**2 - 5*u**3 + 3*u**3 + 0*u**2 = 0. What is u?
-1, 0
Let c(i) be the third derivative of -i**8/8960 - i**7/1120 + 3*i**6/320 - i**5/32 + 5*i**4/8 - 12*i**2. Let v(y) be the second derivative of c(y). Factor v(z).
-3*(z - 1)**2*(z + 5)/4
Let r(y) be the first derivative of -2*y**2 + 8*y - 4/3*y**3 - 14. Let r(q) = 0. What is q?
-2, 1
Determine r so that -6 + 11/3*r - 1/3*r**2 = 0.
2, 9
Let n be 97 + -114 + (-202)/(-6). Factor 20/3*y + n*y**2 + 2/3.
2*(5*y + 1)**2/3
Let c(n) be the first derivative of n**5/25 + n**4/20 - 2*n**3/15 - 51. Factor c(a).
a**2*(a - 1)*(a + 2)/5
Let x(i) be the second derivative of -i**6/60 - 7*i**5/40 + i**4/2 + 44*i**3/3 + 80*i**2 + 149*i. Suppose x(m) = 0. Calculate m.
-4, 5
Suppose 2*p - 4*m - 30 = 0, 2*p = 2*m - 1 + 35. Let v = p + -16. Factor -8*i**2 + 3 + 4*i + 4 - v.
-4*(i - 1)*(2*i + 1)
Let d(m) = 5*m**2 - 443*m + 442. Let p(x) = -25*x**2 + 2214*x - 2211. Let r(h) = 11*d(h) + 2*p(h). Factor r(b).
5*(b - 88)*(b - 1)
Find v, given that -87*v + 85*v - 2*v**5 - 5*v**4 - 5*v**4 - 4*v**3 + 40*v**2 + 50*v = 0.
-3, -2, 0, 2
Let x(k) = 31*k**4 - 76*k**3 - 27*k**2 + 106*k + 32. Let s(t) = -156*t**4 + 380*t**3 + 136*t**2 - 528*t - 160. Let m(y) = 3*s(y) + 16*x(y). Factor m(d).
4*(d - 2)**2*(d + 1)*(7*d + 2)
Let m(o) be the second derivative of -o**7/42 + o**6/15 - o**4/6 + o**3/6 - 66*o. Factor m(g).
-g*(g - 1)**3*(g + 1)
Let o = 124/213 - -6/71.