*3 + p + 1/3*z**4 = 0.
-1, 1
Let c(j) be the second derivative of -1/27*j**3 + 0 + 0*j**2 - 10*j - 1/30*j**5 + 1/18*j**4 + 1/135*j**6. Factor c(p).
2*p*(p - 1)**3/9
Let x(c) be the second derivative of 0 + 1/60*c**4 + 1/30*c**3 + 17*c + 0*c**2. Factor x(h).
h*(h + 1)/5
Let m(w) be the second derivative of -w**6/10 - 3*w**5/4 - 3*w**4/4 + 9*w**3/2 + 66*w. Factor m(a).
-3*a*(a - 1)*(a + 3)**2
Factor 86/3 - 15*h + 1/3*h**2.
(h - 43)*(h - 2)/3
Let o(f) be the third derivative of 0 + 0*f**3 + 25/84*f**8 + 0*f + 0*f**4 + 0*f**5 + 8*f**2 + 1/30*f**6 - 4/21*f**7. Factor o(x).
4*x**3*(5*x - 1)**2
Let 29*v + 81*v**2 + 50*v**3 - 71*v - 172*v**3 - 3*v**4 + 86*v**3 = 0. Calculate v.
-14, 0, 1
Let g(t) be the second derivative of t**7/420 - t**6/240 - t**5/40 + t**4/48 + t**3/6 - 3*t**2 + 23*t. Let w(c) be the first derivative of g(c). Factor w(d).
(d - 2)*(d - 1)*(d + 1)**2/2
Let s be 4/7*28/8. Let w = 1802/3 + -600. Suppose -2*y**s + 4/3 - w*y = 0. Calculate y.
-1, 2/3
Suppose -951278 + 69696*q - 1202*q**2 + 410*q**2 + 3*q**3 - 1093138 = 0. What is q?
88
Let i(k) = -30*k + 2. Let z be (12/10)/(4/(-10)). Let a be i(z). Let -a - 12*o**3 + 2*o**4 - 4*o - 14*o**2 + 4*o**5 + 92 = 0. Calculate o.
-1, -1/2, 0, 2
Let n(y) be the first derivative of y**5/180 + 5*y**4/108 + y**3/18 - y**2/2 - 7*y + 3. Let r(l) be the first derivative of n(l). Factor r(i).
(i - 1)*(i + 3)**2/9
Factor 4/3*v**4 - 13/3*v**3 + 0*v + 0 + v**2.
v**2*(v - 3)*(4*v - 1)/3
Let q(l) be the third derivative of 27*l**8/56 + 15*l**7/7 + 19*l**6/6 + l**5 - 5*l**4/4 + l**3/3 - 26*l**2 + 1. Factor q(k).
2*(k + 1)**3*(9*k - 1)**2
Let c(l) = 4*l**4 - 6*l**3 - 11*l**2 + 6*l - 7. Let m(p) = -p**4 + 2*p**3 + 3*p**2 - 2*p + 2. Let q(t) = -2*c(t) - 7*m(t). Suppose q(r) = 0. Calculate r.
-2, -1, 0, 1
Let c(v) = -2*v**2 + 7*v + 9. Let h(f) = 3*f**2 - 10*f - 13. Let o(z) = 8*c(z) + 5*h(z). Factor o(t).
-(t - 7)*(t + 1)
Let s(j) = -j**2 - 16*j + 12. Let u be s(-16). Let f be (-5)/(45/6) + u/9. What is i in 1/3*i**3 + 0*i + f*i**2 + 0 = 0?
-2, 0
Let h = 1817 - 12714/7. Suppose -4/7 + h*q - 1/7*q**2 = 0. Calculate q.
1, 4
Let z(a) be the third derivative of a**6/60 - 3*a**5/20 + 5*a**4/12 - a**3/2 - 104*a**2 - 2. Find d such that z(d) = 0.
1/2, 1, 3
Factor 0 + 2/5*t**4 + 0*t - 12/5*t**2 + 2/5*t**3.
2*t**2*(t - 2)*(t + 3)/5
Let h(r) be the second derivative of r**6/135 - r**5/6 + 7*r**4/6 - 49*r**3/27 - 98*r. What is l in h(l) = 0?
0, 1, 7
Let -56/11*n**2 - 4/11*n**3 + 0 + 14/11*n**4 + 16/11*n = 0. What is n?
-2, 0, 2/7, 2
Let m(l) be the first derivative of -2*l**5/45 + l**4/9 - 147. Factor m(y).
-2*y**3*(y - 2)/9
Factor -4*n + 1 + 9*n + 0*n + n**2 + 3.
(n + 1)*(n + 4)
Let q(f) = f**3 + 8*f**2 + 10*f - 8. Let m be q(-6). Determine x, given that -x**3 - 5*x**3 + 4*x**3 + 7*x**3 - 5*x**m = 0.
0, 1
Let p(z) be the third derivative of -4*z**7/105 - 9*z**6/20 - 11*z**5/10 + 5*z**4/6 - 65*z**2. Factor p(t).
-2*t*(t + 2)*(t + 5)*(4*t - 1)
Let j = 138 - 138. Let r(u) be the third derivative of j*u**3 + 0*u**4 - 1/630*u**7 - 1/180*u**5 + 0 - 1/180*u**6 + 5*u**2 + 0*u. Determine f so that r(f) = 0.
-1, 0
Let k = -489 - -491. Let y(c) be the first derivative of 5 + 0*c - 2/3*c**3 - c**k. Factor y(l).
-2*l*(l + 1)
Let p(u) = 5*u**3 + 25*u**2 + 8*u + 6. Let t(w) = -34*w**3 - 170*w**2 - 56*w - 40. Let i(j) = -20*p(j) - 3*t(j). Factor i(q).
2*q*(q + 1)*(q + 4)
Let v(u) be the third derivative of -u**8/30240 + u**7/2520 + u**6/270 + 17*u**5/60 - 32*u**2. Let b(q) be the third derivative of v(q). Factor b(c).
-2*(c - 4)*(c + 1)/3
Let m(h) be the third derivative of h**8/168 + h**7/21 - h**6/12 - 5*h**5/6 + 10*h**4/3 - 16*h**3/3 + 7*h**2 - 40*h. Suppose m(o) = 0. Calculate o.
-4, 1
Let y = 33 - -1. Let x = y - 32. What is l in -4/7 + 2/7*l**x - 2/7*l = 0?
-1, 2
Let p(k) be the second derivative of k**4/30 + 7*k**3/15 + 2*k**2 - k - 6. Determine m so that p(m) = 0.
-5, -2
Suppose -2*a + 11 = 5. Suppose 0*z = -a*z + 12. Factor -k + 0*k**2 + z*k - 6*k**2 + 0*k + 3*k**3.
3*k*(k - 1)**2
Let t(f) be the first derivative of 3/32*f**4 + 19 + 1/40*f**5 - 1/8*f**3 + 3/4*f - 7/16*f**2. Factor t(s).
(s - 1)**2*(s + 2)*(s + 3)/8
Let o(b) = 5*b - 24. Let j be o(7). Suppose 20*a = j*a + 36. Solve 0 + 0*w**3 - 2*w**2 - 4/3*w + 2/3*w**a = 0 for w.
-1, 0, 2
Let m(i) be the first derivative of i**4 - 4*i**3 - 2*i**2 + 12*i + 280. Determine x so that m(x) = 0.
-1, 1, 3
Let z(w) be the second derivative of 1/15*w**5 + 2/3*w**2 + 8 - 3*w - 1/12*w**4 - 2/9*w**3 - 1/90*w**6. Factor z(i).
-(i - 2)**2*(i - 1)*(i + 1)/3
Factor 2*z**3 + 0*z**2 + 0 - 2/3*z**5 - 4/3*z**4 + 0*z.
-2*z**3*(z - 1)*(z + 3)/3
Suppose 3*z - 4 = 29. Suppose -5*u + 23 = 3*y - 2, 0 = 3*y - 2*u - z. Determine c so that -c + 3*c + 4*c - y*c**2 - c = 0.
0, 1
Let k be (31/(-310))/(2/(-8)). Solve 0*t + 0*t**3 - k*t**2 + 0 + 2/5*t**4 = 0 for t.
-1, 0, 1
Let m(j) be the third derivative of 3*j**4 + 1/3*j**5 - j**2 - 16/3*j**3 + 0 - 2*j. Solve m(t) = 0 for t.
-4, 2/5
Suppose n + 3*r - 16 = -0*n, -n = 4*r - 20. Suppose -d - 6 = -n*d. Factor 12*j**d + 3*j**2 + 3*j**3 + 4*j**3 + 3*j**4 + 6*j + 5*j**3.
3*j*(j + 1)**2*(j + 2)
Let k(z) be the third derivative of 1/345*z**5 - 1/276*z**4 - 1/69*z**3 + 0*z + 0 + 6*z**2. Solve k(q) = 0.
-1/2, 1
Let j(x) be the first derivative of x**5/5 - 2*x**4/3 - 30*x + 18. Let g(s) be the first derivative of j(s). Find b such that g(b) = 0.
0, 2
Let m = 242 + -238. Let j(q) be the third derivative of 0 - 1/28*q**7 + 11*q**2 + 5/48*q**m - 29/240*q**6 + 1/6*q**3 + 0*q - 11/120*q**5. Solve j(o) = 0 for o.
-1, -1/3, 2/5
Let o(x) = 3*x - 13. Let i be o(6). Solve -i*h + 4*h**2 - 2 - 4 - h**2 - 4*h**2 = 0 for h.
-3, -2
Let v = -3713 - -3716. Factor 2/3*z**v - 4/3 - 2/3*z + 4/3*z**2.
2*(z - 1)*(z + 1)*(z + 2)/3
Suppose -3*i + 3*s + 36 = 0, -3*s + 25 = i - 7. Suppose -18*w + 4 = -i*w. Determine v so that 4/15*v**2 + 0*v + 0 - 2/15*v**w + 2/15*v**3 = 0.
-1, 0, 2
Let k = 1/8942 - -107299/44710. Determine a, given that 188/5*a**2 - 4*a**4 - 72/5 + 108/5*a - k*a**3 = 0.
-3, -1, 2/5, 3
Let f be (9/3)/((-1)/(-3)). Let b = -5 + f. Determine r, given that 0*r + 0*r**3 - 4*r**2 + 4*r - 3*r**3 - r**3 + b*r**4 = 0.
-1, 0, 1
Suppose 0 = -5*u - 38 - 92. Let a be (u/(-12) - 2)*2. Factor 5/3*f - a - 4/3*f**2.
-(f - 1)*(4*f - 1)/3
Let b = -19/59 - -487/413. Suppose 3/7*c**2 + 3/7 - b*c = 0. What is c?
1
Let l(y) be the first derivative of -20 + 1/2*y**2 + 1/3*y**3 + 0*y. Determine d, given that l(d) = 0.
-1, 0
Let p(i) = 51*i**2 - 417*i - 447. Let g(s) = 12*s**2 - 104*s - 111. Let a(r) = -21*g(r) + 5*p(r). Suppose a(m) = 0. Calculate m.
-32, -1
Find h such that 87/8*h**3 + 3/8*h**4 + 0 + 0*h - 45/4*h**2 = 0.
-30, 0, 1
Factor -14/9*m**3 - 26/9*m + 8/9 + 10/3*m**2 + 2/9*m**4.
2*(m - 4)*(m - 1)**3/9
Let w be (-52)/(-300) + 1/5. Let o = w - 1/25. Solve 1/3*r**3 - 2/3 - 1/3*r**4 - o*r + r**2 = 0 for r.
-1, 1, 2
Factor 0 + 13/6*j**2 + 1/6*j**4 + j + 4/3*j**3.
j*(j + 1)**2*(j + 6)/6
Let j(x) be the first derivative of x**8/336 - 11*x**7/840 + 7*x**6/360 - x**5/120 - 2*x**3 - 7. Let i(m) be the third derivative of j(m). Factor i(b).
b*(b - 1)**2*(5*b - 1)
Find i such that -10/9*i**3 - 76/9*i**2 + 16/9*i**4 - 2/9*i**5 + 0 - 16/3*i = 0.
-1, 0, 4, 6
Let g(q) be the second derivative of -2*q**3 - 6*q**2 + 0 + 1/4*q**4 + 3/20*q**5 - 8*q. Determine y, given that g(y) = 0.
-2, -1, 2
Suppose -8/15*x**2 + 4/15*x**4 + 4/15 + 2/15*x**5 - 4/15*x**3 + 2/15*x = 0. Calculate x.
-2, -1, 1
Let v(c) be the third derivative of c**6/24 + 2*c**5/15 - c**4/6 - 8*c**2 - 9*c. Determine s so that v(s) = 0.
-2, 0, 2/5
Factor 30/7*n + 27/7 + 3/7*n**2.
3*(n + 1)*(n + 9)/7
Let h(w) be the second derivative of 2/3*w**4 + 1/3*w**3 + 0 + 0*w**2 + 1/21*w**7 + 3/5*w**5 + 4/15*w**6 - 33*w. Let h(q) = 0. What is q?
-1, 0
Let f(j) = j**2 + j. Let z(u) = -18*u**2 - 33*u. Let a(d) = -15*f(d) - z(d). Factor a(n).
3*n*(n + 6)
Let n(i) be the first derivative of -22/5*i**3 + 7/10*i**4 + 24/5*i + 32/5*i**2 + 4. Determine r, given that n(r) = 0.
-2/7, 2, 3
Let h(w) = 672*w - 1340. Let m be h(2). Factor -2/3*k**4 + 16*k - m*k**3 - 32/3 - 2/3*k**2.
-2*(k - 1)**2*(k + 4)**2/3
Suppose 0 = 2*n - 0*n - 58. Suppose -5*a - n = -3*w, w - 2*w + 10 = -2*a. Factor w*g**4 + 2*g**2 + g**5 - 4*g**3 - 4*g**5 + 0*g**3 - 3*g**3.
-g**2*(g - 1)**2*(3*g - 2