**2 - 2/25*c**5 + 2/5*c**4. Let v(u) = 0. What is u?
0, 1, 2
Let i(a) be the third derivative of a**7/840 - 7*a**6/480 + 3*a**5/40 - 5*a**4/24 + a**3/3 - 62*a**2. Factor i(h).
(h - 2)**3*(h - 1)/4
Let a(p) be the second derivative of -3/80*p**5 - p**3 - 5/16*p**4 + 0 - 17*p - 3/2*p**2. Factor a(l).
-3*(l + 1)*(l + 2)**2/4
Let 11*k + 1/3*k**3 - 10/3*k**2 - 12 = 0. What is k?
3, 4
Let o = 690 + -11039/16. Let w(c) be the second derivative of 0 + 1/80*c**5 + o*c**4 + 4*c - 1/2*c**2 + 0*c**3. Find b, given that w(b) = 0.
-2, 1
Let d = 25 + -44. Let k = 22 + d. Determine q so that 9*q**k + 5*q**4 - 5*q**3 - q**4 - 8*q**2 - 4*q**2 - 20*q - 8 = 0.
-1, 2
Let m be (-5 - -8)*-2 + (-176)/(-13). Factor -m - 2/13*q**2 - 28/13*q.
-2*(q + 7)**2/13
What is u in -u + 6*u**2 + 5194 - 5190 - 8*u**4 - 16*u**3 + 15*u = 0?
-2, -1/2, 1
Let r = 6175 - 67924/11. Factor -2/11 + 1/11*y**2 - r*y.
(y - 2)*(y + 1)/11
Let l(a) be the first derivative of 2*a - 4 + 25/6*a**3 + 19/8*a**4 + 4*a**2 + 7/10*a**5 + 1/12*a**6. Solve l(t) = 0 for t.
-2, -1
Let f be 1 + (3/4)/((-30)/28). Let m(v) be the second derivative of -1/10*v**4 + 6*v - 3/10*v**2 + 0 - f*v**3. Determine c so that m(c) = 0.
-1, -1/2
Solve 3*f + 16*f**3 - 7*f - 2*f**5 + 4*f**4 + 0*f + 4*f**2 + 8 - 10*f - 16 = 0 for f.
-1, 1, 4
Let g(p) be the third derivative of -p**8/112 + p**7/14 - 3*p**6/40 - 9*p**5/20 - 2*p**2 + 48*p. Factor g(i).
-3*i**2*(i - 3)**2*(i + 1)
Let b be (9 - 10) + 0/2 + 5. Suppose -3*o - 5*s + 2 = -3, 4 = -b*o + 4*s. Solve o*t + 345/7*t**4 + 12/7 - 225/7*t**5 - 141/7*t**2 + 9/7*t**3 = 0 for t.
-2/5, 1/3, 1
Let m be 7/(-294)*6*-2. Let l(f) be the first derivative of -1/14*f**4 + 7 - m*f - 3/7*f**2 - 2/7*f**3. Factor l(k).
-2*(k + 1)**3/7
Find f, given that 0 + 19/4*f**3 - 1/4*f**5 + 0*f + 7/2*f**2 + f**4 = 0.
-2, -1, 0, 7
Let i = -7 + 5. Let f be (-45)/(-12) + i/(-8). Factor 8*h**4 - f*h**4 + 0*h**4.
4*h**4
Let b be 61 + -62 - (-3 + -1). Factor 2/13 + 2/13*l**4 + 0*l - 4/13*l**2 + 0*l**b.
2*(l - 1)**2*(l + 1)**2/13
Let j be -105*(-40)/280*5/12. Solve -35/4*z**3 + 0 - 15/4*z**2 - 5/4*z**5 + 0*z - j*z**4 = 0 for z.
-3, -1, 0
Let j(s) = s**3 + 21*s**2 + 89*s - 13. Let p be j(-15). Let d = -219/8 + 977/24. Factor 8/3 + d*r + 14/3*r**3 + 46/3*r**p.
2*(r + 1)*(r + 2)*(7*r + 2)/3
Let u(w) be the third derivative of w**7/7560 - w**6/540 + w**5/120 + w**4/8 - 6*w**2. Let x(c) be the second derivative of u(c). Solve x(v) = 0.
1, 3
Let s(j) be the second derivative of j**4/3 - 8*j**3/3 + 8*j**2 - 7*j - 3. Factor s(d).
4*(d - 2)**2
Let f be 30*(56/(-12))/7. Let i = f - -22. Find c such that 0 - 2/3*c - 2/3*c**i = 0.
-1, 0
Let 5*s**3 - 106*s**2 + 60*s**2 - 330*s - 109*s**2 = 0. Calculate s.
-2, 0, 33
Let z(u) = -u**3 + u**2 + 24*u + 7. Let x be z(-8). Determine v, given that 381*v**2 + 3 - 15*v - x*v**2 - 3 = 0.
-3/2, 0
Let r = -17 + 43. Factor r*q - 30*q + 0*q**2 - q**2 - 4.
-(q + 2)**2
Let n(c) be the third derivative of 0*c**3 + 0 + 0*c**4 - 1/14*c**7 + 1/8*c**6 - 26*c**2 + 5/336*c**8 - 1/12*c**5 + 0*c. Factor n(j).
5*j**2*(j - 1)**3
Let w(g) = -3*g**2 - 21*g - 30. Let k(d) be the first derivative of d**3 + 11*d**2 + 31*d + 4. Let h(b) = 3*k(b) + 4*w(b). Factor h(p).
-3*(p + 3)**2
Suppose -2*l + 12 = 8. Suppose -k + 27 = 5*n, -3*k + k + l*n = 6. Determine z so that 2/9*z - 2/9*z**k + 4/9 = 0.
-1, 2
Let v(a) = 124*a**2 - 9*a**3 - 125*a**2 + 0*a**3 + 11*a + 4. Let n(h) = 5*h**3 - 6*h - 2. Let k(m) = 10*n(m) + 6*v(m). Let k(c) = 0. What is c?
-2, -1/2, 1
Let g(v) be the first derivative of 5/4*v**3 - 1/8*v**5 - 14 + 0*v**4 + 5/2*v**2 + 10*v. Let c(n) be the first derivative of g(n). Factor c(d).
-5*(d - 2)*(d + 1)**2/2
Let p(y) be the third derivative of y**8/336 - 2*y**7/105 - y**6/120 + y**5/15 - 29*y**2. Factor p(x).
x**2*(x - 4)*(x - 1)*(x + 1)
Let b(s) be the third derivative of 1/18*s**3 - 22*s**2 + 0 - 7/72*s**4 - 1/40*s**6 + 1/12*s**5 + 0*s. Factor b(c).
-(c - 1)*(3*c - 1)**2/3
Let f = -9367 - -9372. Find j such that 0 - 8/15*j**4 - 2/15*j**f - 4/15*j**2 - 2/3*j**3 + 0*j = 0.
-2, -1, 0
Let x = 749 - 745. Factor 0*o**3 + 1/5*o**5 + 0*o**2 + 0*o + 0 + 1/5*o**x.
o**4*(o + 1)/5
Let v(m) be the second derivative of 0 + 2/21*m**3 + 1/14*m**4 + 0*m**2 + 6*m + 1/70*m**5. Factor v(u).
2*u*(u + 1)*(u + 2)/7
Find b such that -1369/7 - 74/7*b - 1/7*b**2 = 0.
-37
Let u(r) be the third derivative of 1/30*r**6 + 0*r - 1/3*r**3 + 1/315*r**7 - 7/45*r**5 + 11/36*r**4 + 0 + 3*r**2 - 1/504*r**8. Factor u(k).
-2*(k - 1)**4*(k + 3)/3
Let t = 143/752 - 6/47. Let p(y) be the second derivative of -3*y + 3/4*y**2 + 0 + t*y**4 - 3/8*y**3. Solve p(d) = 0.
1, 2
What is v in -54 + 20*v**3 + 96*v**2 - 220*v + v**4 + 0*v**4 + 175 - 18*v**2 = 0?
-11, 1
Let t(k) = -7*k**3 + 22*k**2 - 31*k + 8. Let q(h) = 20*h**3 - 65*h**2 + 92*h - 22. Let l(g) = -4*q(g) - 11*t(g). Factor l(r).
-3*r*(r - 3)**2
Let k(w) = -w + 18. Let h be k(15). Suppose -25*c + 7*c - 11*c**4 - 16*c**2 - 4*c**4 - 5*c**2 + 54*c**h = 0. What is c?
-2/5, 0, 1, 3
What is r in 3/5*r**3 - 216/5*r**2 + 5184/5*r - 41472/5 = 0?
24
Let t(x) = 2*x**2 + 30*x - 38. Let h(l) = l**2 + l - 1. Let j(a) = 6*h(a) - t(a). Factor j(q).
4*(q - 4)*(q - 2)
Let u(k) = 2*k**2 - 15*k - 34. Let n be u(-2). Let p(t) be the third derivative of 1/100*t**5 + 1/40*t**n - 5*t**2 + 0 + 0*t + 0*t**3. Factor p(h).
3*h*(h + 1)/5
Solve 10*z**2 + 279*z**3 - 554*z**3 - 40 + 270*z**3 + 20*z = 0 for z.
-2, 2
Let p(l) be the third derivative of l**7/560 - 7*l**5/160 + 3*l**4/32 + 269*l**2. Let p(d) = 0. Calculate d.
-3, 0, 1, 2
Let o be 12 + 274/(-23) - (-53)/184. Let x(j) be the first derivative of 0*j - 1/6*j**2 - 3 - 1/6*j**3 + o*j**4. Suppose x(l) = 0. What is l?
-1/3, 0, 2/3
Let s be (-208)/156*(-9)/3. Factor 1/3*m**5 - m**3 - 5/3*m**2 + 1/3*m**s + 0 - 2/3*m.
m*(m - 2)*(m + 1)**3/3
Let h(t) be the third derivative of -t**8/70 - t**7/30 - t**6/90 + 17*t**3/6 + 19*t**2. Let o(v) be the first derivative of h(v). Suppose o(f) = 0. Calculate f.
-1, -1/6, 0
Let x = -159 - -159. Find j such that 0*j + x - 25/2*j**4 - 2*j**2 + 10*j**3 = 0.
0, 2/5
Let w = 3907 + -3904. Factor 1/6*i**4 + 0 - 1/6*i**w + 0*i + 0*i**2.
i**3*(i - 1)/6
Find r such that -44/9 + 2*r + 2/9*r**2 = 0.
-11, 2
Let q = -34/679 + 3158/8827. Find o, given that 0 - 6/13*o + q*o**2 + 2/13*o**3 = 0.
-3, 0, 1
Factor -54/5 + 2/5*z**3 + 6*z + 22/5*z**2.
2*(z - 1)*(z + 3)*(z + 9)/5
Let a(j) be the third derivative of -578*j**7/105 + 221*j**6/15 - 11*j**5/5 - 52*j**4/3 - 32*j**3/3 - 21*j**2. Let a(h) = 0. Calculate h.
-4/17, 1
Let i(z) be the first derivative of z**4/4 - 40*z**3/3 + 437*z**2/2 - 722*z + 37. Factor i(v).
(v - 19)**2*(v - 2)
Suppose 441 = -4*v + v. Let j = -437/3 - v. Determine g, given that 10/3*g**3 - 16/3*g**2 + 2/3*g + j = 0.
-2/5, 1
Let v(n) be the second derivative of n**7/14 + 2*n**6/5 - 3*n**5/4 + n - 7. Suppose v(o) = 0. What is o?
-5, 0, 1
Let z = -47 + 50. Factor 4*t**z - t**3 - 3*t + 8*t**2 + 9 - 17*t**2 + 0*t**3.
3*(t - 3)*(t - 1)*(t + 1)
Let m be 989/46 + (-189)/9. Find x such that 1/2*x**3 - m*x + 0 - 1/2*x**4 + 1/2*x**2 = 0.
-1, 0, 1
Let r = -10939 - -10942. Solve -3/2*y**4 + 0 + 2*y + 11/2*y**r - 6*y**2 = 0.
0, 2/3, 1, 2
Suppose 8/11*x**3 + 72/11 + 24*x - 94/11*x**2 = 0. What is x?
-1/4, 6
Let i = 30838/7 - 4402. Let -i*u + 3*u**2 + 9/7 - 6/7*u**3 = 0. What is u?
1, 3/2
Let s be (-8)/126*-9 + (-8)/14. Let q(n) be the second derivative of s*n**3 - 1/4*n**4 - 9/40*n**5 + 0 - 1/20*n**6 + 3*n + 0*n**2. Factor q(p).
-3*p**2*(p + 1)*(p + 2)/2
Let x be 0 + 3 - (2 - -9). Let h be ((-6)/24)/(2/x). Factor -4*g + 8*g**3 + 1 - h - 22*g**4 - 2*g**2 + 28*g**4.
2*g*(g + 1)**2*(3*g - 2)
Let q = -10045/3 - -3360. Let v(z) be the first derivative of -5*z**2 + 5*z - q*z**3 - 5*z**4 - 15. Factor v(f).
-5*(f + 1)**2*(4*f - 1)
Let i(u) = -50*u**3 + 175*u**2 - 186*u + 61. Let k = -3 + -8. Let h(t) = 10*t**3 - 35*t**2 + 37*t - 12. Let o(x) = k*h(x) - 2*i(x). Factor o(b).
-5*(b - 2)*(b - 1)*(2*b - 1)
Let t(f) be the third derivative of -f**3/6 + 3*f**2. Let g(n) = 3*n**2 + 9*n - 2. Suppose -4 = 17*o - 15*o. Let u(c) = o*t(c) + g(c). Factor u(s).
3*s*(s + 3)
Let z = -2628 - -13149/5. Factor 6 - 3/5*q**2 - z*q.
-3*(q - 2)*(q + 5)/5
Let w(u) be the second derivative of u**6/480 - u**5/480 - u**4/192 - 9*u**2 - 10*u. Let r(z) be the first derivative o