
2*w**2*(w - 1)**2*(2*w + 3)/17
Let y(k) = -k**3 - 10*k**2 - 18*k - 12. Let b be y(-8). Let r(j) be the second derivative of -2*j + 0 - 2/15*j**3 - 1/30*j**b + 0*j**2. Factor r(m).
-2*m*(m + 2)/5
Let y(l) = l + 3. Let o be y(5). Let v be ((-300)/165 + 2)*22. Find k such that v*k**2 + 16/3 + o*k + 2/3*k**3 = 0.
-2
Suppose -k = -0*k - h + 6, h = 2*k + 15. Let x(r) = -r**2 - 7*r + 18. Let u be x(k). Factor u + 1/3*a - 1/3*a**3 + 0*a**2.
-a*(a - 1)*(a + 1)/3
Let s = -68995/4 + 17443. Let g be 919/20 + 2/5*26/(-52). Let 3 + s*t**4 + 6*t - 441/4*t**5 - g*t**3 - 189/4*t**2 = 0. What is t?
-2/7, 1/3, 1
Let h(k) be the first derivative of k**4/6 - 4*k**3/3 + 4*k**2 - 10*k + 11. Let p(i) be the first derivative of h(i). Factor p(t).
2*(t - 2)**2
Factor 3/2*f**4 - 204 + 294*f - 135*f**2 + 33/2*f**3.
3*(f - 2)**3*(f + 17)/2
Let q be 4 - 20/(-16)*-3. Let h = 965/4 + -241. Suppose q*b**2 + 0 + h*b = 0. What is b?
-1, 0
Suppose 6*u - 6 - 12 = 0. Let 7*k**4 + 6*k**u + 6*k**3 - 11*k**2 - 9*k**3 + 4 - 3*k**5 = 0. Calculate k.
-1, -2/3, 1, 2
Let k(p) be the first derivative of -35*p**4/6 + 58*p**3/9 + 14*p**2/3 - 16*p/3 + 139. Find t, given that k(t) = 0.
-4/7, 2/5, 1
Suppose 5*n - 119 = -19. Determine x so that 9*x**3 + 44*x**2 - 69*x**2 + n*x - 4*x**3 = 0.
0, 1, 4
Let x(y) be the second derivative of y**5/110 + y**4/33 - y**3/3 - 12*y**2/11 - 282*y. Suppose x(f) = 0. What is f?
-4, -1, 3
Let w(q) be the third derivative of -q**6/150 + 2*q**5/75 - q**4/30 - 25*q**2 + 3. Suppose w(a) = 0. Calculate a.
0, 1
Let s(h) = 4 - 1 - 23 + h**2 - h. Let r be s(5). Determine g so that 0*g + r - 1/2*g**2 - 3/2*g**4 + 1/2*g**5 + 3/2*g**3 = 0.
0, 1
Let s(t) be the first derivative of 2*t**5/5 + 12*t**4 + 368*t**3/3 + 480*t**2 + 800*t + 68. What is r in s(r) = 0?
-10, -2
Suppose 0 = 8*d + 2 - 2. Let r(o) be the second derivative of -1/20*o**5 + 1/2*o**3 + d*o**4 - o**2 + 0 - o. Factor r(s).
-(s - 1)**2*(s + 2)
Let q(i) be the first derivative of 4*i**5 + 415*i**4/4 + 100*i**3 - 5*i**2/8 - 25*i + 92. Determine g, given that q(g) = 0.
-20, -1/2, 1/4
Let a = -127313/9 - -14146. Suppose 0*k - 4/9*k**3 + a*k**4 + 0 + 4/9*k**5 - 1/9*k**2 = 0. What is k?
-1, -1/4, 0, 1
Let z(k) be the first derivative of -2/9*k**2 - 3*k + 1/54*k**4 + 1/27*k**3 - 3. Let t(c) be the first derivative of z(c). What is q in t(q) = 0?
-2, 1
Let p = -82 - -84. Find u such that -11/3*u**p + 4*u**4 - 1/3 + 7/3*u - 7/3*u**3 = 0.
-1, 1/4, 1/3, 1
Let z = 3165 + -3163. Let -3/2*h**3 + 0 - 9/4*h - 21/4*h**z = 0. What is h?
-3, -1/2, 0
Let m(k) be the third derivative of -k**8/1344 - k**7/210 - k**6/480 + k**5/24 + k**4/24 - k**3/3 + 48*k**2 - 3*k. Factor m(a).
-(a - 1)**2*(a + 2)**3/4
Let h(p) be the first derivative of -2*p**3/33 - p**2/11 + 24*p/11 + 42. Find b such that h(b) = 0.
-4, 3
Suppose -2*l = 6*l + l. Let a(u) be the first derivative of 2/5*u**5 + 4 + 0*u**2 + 7/4*u**4 + l*u - 7/6*u**6 - 2/3*u**3. Determine t so that a(t) = 0.
-1, 0, 2/7, 1
Suppose -15 = -2*n - 3. Suppose 0 = -g - 3*w - n, 0 = 4*g - 2*w - 2*w - 24. Factor -3*a**4 + 2*a - 3*a**g + 6*a**2 + a - 3*a.
-3*a**2*(a - 1)*(a + 2)
Let j be -4*(-12)/80*1. Determine u so that 1/5*u**2 + j - 4/5*u = 0.
1, 3
Let c(r) be the third derivative of r**6/240 - r**5/15 + r**4/3 + 8*r**2 - 6*r. Factor c(p).
p*(p - 4)**2/2
Let j = 91 + -84. Factor 12*a + 19*a - j - a**3 - 18*a - 5*a**2.
-(a - 1)**2*(a + 7)
Suppose 5*a + 4*i = 272, -4*a + 3*a - 2*i = -52. Suppose 46*d - a*d = 0. Factor 0 + 4/7*c**5 + 6/7*c**4 + d*c + 0*c**3 - 2/7*c**2.
2*c**2*(c + 1)**2*(2*c - 1)/7
Suppose 12*s = d + 9*s + 18, s - 6 = 3*d. Find u such that 72/23*u**3 + 162/23*u**4 + d*u + 0 + 8/23*u**2 = 0.
-2/9, 0
Let n(o) be the first derivative of -2*o**3/9 - 11*o**2/12 - o - 147. Let n(f) = 0. Calculate f.
-2, -3/4
Suppose 3/7*x**2 + 72/7 + 30/7*x = 0. Calculate x.
-6, -4
Factor -5*g**4 - 240*g + 100*g**2 - 295 - 25 + 1017*g**3 - 1002*g**3.
-5*(g - 4)**2*(g + 1)*(g + 4)
Let p(a) be the third derivative of 2/15*a**3 + 1/1050*a**7 + 0 + 0*a + 1/100*a**6 + 13/300*a**5 + 1/10*a**4 + 11*a**2. Solve p(x) = 0 for x.
-2, -1
Let g(d) = 6*d**2 + 27*d - 9. Let h(r) = r**2 - 2*r - 1. Let v(z) = g(z) - 9*h(z). What is q in v(q) = 0?
0, 15
Let a(z) be the third derivative of -z**6/80 - 3*z**5/20 + 7*z**4/16 + 144*z**2. Factor a(i).
-3*i*(i - 1)*(i + 7)/2
Let g = 22272 + -66802/3. Find f such that 0 - g*f**3 - 2/3*f**5 - 2/3*f - 3*f**4 - 3*f**2 = 0.
-2, -1, -1/2, 0
Let x be 34/12 + (0 - (-1)/6). Suppose k + 2*y + x = 8, 4*k - 7 = 5*y. Find u, given that u**2 + 2/3*u + 0 + 1/3*u**k = 0.
-2, -1, 0
Let m(c) = -c**2 - 18*c - 6. Let i be m(-16). Suppose -10*l = -i - 4. Find g, given that -2/13*g**l - 6/13*g + 18/13 - 10/13*g**2 = 0.
-3, 1
Let h be (-1092)/(-429) - 6/11. Factor 0 - 8/5*o**3 + 6/5*o**h + 2/5*o.
-2*o*(o - 1)*(4*o + 1)/5
Let w(v) be the third derivative of 5/8*v**4 + 0 - 10*v**2 + 1/24*v**6 + 1/3*v**5 + 0*v + 0*v**3. Factor w(g).
5*g*(g + 1)*(g + 3)
Let m(h) be the third derivative of -h**6/600 - 13*h**5/300 - 17*h**4/40 - 21*h**3/10 + 4*h**2 + h. Solve m(l) = 0 for l.
-7, -3
Let t(k) = -k**3 - k**2 - 2*k - 3. Let c be t(-3). Suppose -5*j - 4 + c = q, -3*q - 5*j = -21. Factor r**3 - 4*r**3 - 7*r**2 + r**q.
-3*r**2*(r + 2)
Let c(n) be the second derivative of n**6/240 + 11*n**5/160 - 169*n. Factor c(k).
k**3*(k + 11)/8
Let k = -159 + 163. Let m(c) be the third derivative of 1/240*c**5 + 0 + 1/12*c**3 + 0*c - 8*c**2 + 1/32*c**k. Factor m(l).
(l + 1)*(l + 2)/4
Suppose 4*h - 5*x + 2 = 0, -4 - 14 = -5*h - 4*x. Let o be h - ((-2)/(-24))/(24/(-256)). Factor -8/9*w**4 + o*w**3 - 2/9 + 14/9*w - 10/3*w**2.
-2*(w - 1)**3*(4*w - 1)/9
Factor -2/5*q**3 + 2/5*q - 2*q**2 + 2.
-2*(q - 1)*(q + 1)*(q + 5)/5
Let j = -6/2195 - -2219/8780. Suppose j*i + 1/4*i**3 + 0 + 1/2*i**2 = 0. What is i?
-1, 0
Determine b, given that -36/5 + 18/5*b**4 + 443/5*b**2 + 199/5*b**3 - 624/5*b = 0.
-6, -1/18, 1
Let i(n) = -4*n**2 + 4*n + 3. Let q(j) be the first derivative of 3*j**3 - 4*j**2 - 7*j - 19. Let g(h) = 7*i(h) + 3*q(h). What is s in g(s) = 0?
0, 4
Factor -7*f**4 + 25*f**2 - 25 - 5*f**2 + 30*f + 12*f**4 - 30*f**3.
5*(f - 5)*(f - 1)**2*(f + 1)
Let z(h) be the third derivative of -h**5/330 - 125*h**4/66 - 15625*h**3/33 + 4*h**2 - 4*h. Solve z(u) = 0.
-125
Let p(v) be the second derivative of v**7/210 - v**6/30 - v**5/20 + 3*v**4/4 - 3*v**2/2 - 14*v. Let y(i) be the first derivative of p(i). Factor y(s).
s*(s - 3)**2*(s + 2)
Factor 37*a**3 - 17*a**5 + 30*a**4 + 30*a**2 + 22*a**5 + 6*a**3 + 5*a**3 + 7*a**3.
5*a**2*(a + 1)*(a + 2)*(a + 3)
What is j in -36/11*j**4 + 0*j + 1/11*j**5 + 0*j**3 + 0*j**2 + 0 = 0?
0, 36
Let g(t) be the third derivative of t**7/1890 + t**6/180 - 133*t**2. Suppose g(l) = 0. Calculate l.
-6, 0
Let y(h) be the second derivative of -1/8*h**4 + 0*h**5 - 2*h**2 + 1/10*h**6 + 0 + 0*h**3 + 3*h. Let u(l) be the first derivative of y(l). Factor u(b).
3*b*(2*b - 1)*(2*b + 1)
Let t(x) be the second derivative of -3/8*x**4 + 3*x + 0 - 1/4*x**3 + 0*x**2. Find m such that t(m) = 0.
-1/3, 0
Let a(p) be the third derivative of 38*p**2 + 1/270*p**5 - 4/945*p**7 + 0*p**3 + 0*p**4 + 0*p + 0 - 1/180*p**6. Solve a(h) = 0.
-1, 0, 1/4
Suppose 228 = 5*y + 5*g - 17, 0 = 2*g + 8. Suppose 5*h**5 + 5*h**3 + 14*h**2 - y*h**2 + 40 + 22*h**4 - 2*h**4 - 20*h - 11*h**2 = 0. Calculate h.
-2, 1
Let n be -4 - 36/26*-3. Find v such that 4/13*v**2 + 0 + n*v + 0*v**3 - 2/13*v**5 - 4/13*v**4 = 0.
-1, 0, 1
Let f(y) = 4*y**3 - 18*y**2 + 17*y. Let v(p) = 9*p**3 - 35*p**2 + 33*p. Let x(s) = -7*f(s) + 3*v(s). What is j in x(j) = 0?
0, 1, 20
Let u(a) = a**2 + 4*a - 10. Let p be u(-5). Let h = p - -5. Solve 0 + h*y**2 - 2/3*y + 2/3*y**3 = 0.
-1, 0, 1
Let g(q) be the third derivative of -q**8/84 + 2*q**7/105 + q**6/30 - q**5/15 - 49*q**2. Factor g(t).
-4*t**2*(t - 1)**2*(t + 1)
Let l(o) = 5*o**3 - 58*o**2 + 149*o - 108. Let z(h) = -45*h**3 + 520*h**2 - 1340*h + 970. Let c(g) = 35*l(g) + 4*z(g). Factor c(q).
-5*(q - 5)*(q - 4)*(q - 1)
Let i be (9/(-378))/(0 + (-3)/(-1626)). Let b = -81/7 - i. Solve -b*v**2 - 2/3*v**3 + 2/3*v + 4/3 = 0 for v.
-2, -1, 1
Suppose -k + 11 = 2*u, 4*u + 4*k + 2 - 26 = 0. Let l = -26 - -183/7. Find g such that 0*g**2 + 0*g + 0 + 5/7*g**u - 6/7*g**4 + l*g**3 = 0.
0, 1/5, 1
Let a be ((-4)/44)/(1/(-10)). Let p be ((-156)/(-715)