p**2 + 6/5*p**3 + 0 = 0.
0, 1
Let x = -937/6 - -6571/42. Suppose 2*o = o + 4. Factor 6/7*z**3 + 0 - x*z + 0*z**2 + 4/7*z**o.
2*z*(z + 1)**2*(2*z - 1)/7
Let v be 8 + 0 + (1 - 4). Suppose -10*x**4 - 10*x**4 + v*x**5 + 20*x**2 + 5*x**4 = 0. What is x?
-1, 0, 2
Let l(s) = s**3 + 5*s**2 + 5*s + 4. Let k be l(-4). Let w be (3 + k)/((-1)/(-1)). Let 6*q**w + 44 - 6*q**2 - 2*q**4 - 44 + 2*q = 0. What is q?
0, 1
Let d(y) be the first derivative of -46/27*y**3 - 7/18*y**4 - 8/9*y - 1 - 20/9*y**2. Let d(x) = 0. What is x?
-2, -1, -2/7
Suppose 17*k - 8 = -0*k + 26. Factor 16*x + 36/7*x**3 - 120/7*x**k - 32/7.
4*(x - 2)*(3*x - 2)**2/7
Let k(o) = 13*o**3 + 30*o**2 - 9*o - 21. Let n(m) = -6*m**3 - 16*m**2 + 4*m + 11. Let u(d) = 3*k(d) + 5*n(d). Factor u(r).
(r + 1)**2*(9*r - 8)
Suppose 5*l - 3 = -b, -10 = -0*b - b + 2*l. Let t be 18/b - (-33)/(-132). Determine h so that -h - 1/4*h**t - 1 = 0.
-2
Let l be 2 + 6 - 6*1. Let t(r) be the third derivative of 5*r**l - 1/4*r**4 + 0*r + 0 + 3/2*r**3 + 1/60*r**5. Factor t(j).
(j - 3)**2
Let i be 1 + (0 - (-1 - 0)). Suppose 22 + 20 = 3*r. Factor -8*m + m**i - 8*m + r*m + 0*m**2.
m*(m - 2)
Let i(j) be the first derivative of j**6/600 + j**5/300 - j**4/24 + j**3/10 + 23*j**2/2 + 18. Let u(w) be the second derivative of i(w). Factor u(b).
(b - 1)**2*(b + 3)/5
Let q(b) be the third derivative of b**8/420 + b**7/105 + b**6/90 - 7*b**3/6 + 15*b**2. Let s(j) be the first derivative of q(j). Let s(f) = 0. What is f?
-1, 0
Let r = 313 - 310. Let t(z) be the third derivative of 0*z**4 + 1/120*z**6 + 1/60*z**5 + 0*z + 0 + 0*z**r - 4*z**2. Factor t(x).
x**2*(x + 1)
Let u(p) = -p**3 - 6*p**2 + 6*p + 38. Let n be u(-6). Let x(a) be the first derivative of -16/15*a**3 - 17/20*a**4 - 1/5*a**5 + 5 - 2/5*a**n + 0*a. Factor x(y).
-y*(y + 1)*(y + 2)*(5*y + 2)/5
Let b(z) be the second derivative of z**7/504 - z**6/144 - 2*z**4/3 + 16*z. Let i(j) be the third derivative of b(j). Suppose i(u) = 0. What is u?
0, 1
Let m(a) = -7*a**2 - 6*a - 8. Let l(r) = 6*r**2 + 6*r + 8. Let c(y) = 6*l(y) + 5*m(y). Factor c(g).
(g + 2)*(g + 4)
Let j = 3646 - 3643. Factor 3/5*x**2 + 2/5 + 1/5*x**j - x - 1/5*x**4.
-(x - 1)**3*(x + 2)/5
Let r(c) be the first derivative of c**5/5 - c**4/4 - 5*c**3/3 - 3*c**2/2 + 290. Factor r(p).
p*(p - 3)*(p + 1)**2
Let p be 22/14 + (-36)/(-84). Determine w, given that -4*w**p - w**2 + w**2 + 0 + 4 = 0.
-1, 1
Factor 149 + 58 + 342*p + 115 - 3*p**2 + 23.
-3*(p - 115)*(p + 1)
Let q(a) be the first derivative of a**6/15 + 2*a**5/5 - 7*a**4/5 + 589. Let q(k) = 0. What is k?
-7, 0, 2
Let p(n) be the second derivative of n**7/280 + 7*n**6/480 - 3*n**5/40 + n**4/12 - 17*n**2 - 16*n. Let i(g) be the first derivative of p(g). Solve i(z) = 0.
-4, 0, 2/3, 1
Suppose 1 = -4*u + 13. Suppose 5*z + 4*z**4 - 8*z**u - 9*z - 16 + 24*z - 12*z**2 + 12*z = 0. Calculate z.
-2, 1, 2
Let x(v) be the third derivative of v**6/2 - 13*v**5/15 - v**4/3 + 23*v**2 - 3*v. Factor x(z).
4*z*(z - 1)*(15*z + 2)
Let p(o) be the second derivative of 5*o**7/42 - 5*o**6/3 + 27*o**5/4 - 15*o**4/2 + o - 26. Factor p(q).
5*q**2*(q - 6)*(q - 3)*(q - 1)
Let d(h) be the third derivative of 0 - 30*h**2 + 3/50*h**5 + 0*h - 3/5*h**3 + 1/40*h**4 - 1/200*h**6. Let d(p) = 0. Calculate p.
-1, 1, 6
Suppose 2/3 + 53/3*d**2 - 55/3*d = 0. What is d?
2/53, 1
Let i(c) be the third derivative of c**9/20160 - c**8/1120 + c**7/140 - c**6/30 + 7*c**5/20 - 15*c**2. Let z(a) be the third derivative of i(a). Factor z(p).
3*(p - 2)**3
Let i(d) be the first derivative of -1/6*d**3 + 2 - d**2 - 2*d. Factor i(u).
-(u + 2)**2/2
Let t(w) be the first derivative of 2*w**3/33 - 3*w**2/11 - 11. Factor t(y).
2*y*(y - 3)/11
Let a = -114 - -118. Let m(u) be the first derivative of 0*u**2 - 1 - 4/5*u - 1/20*u**a + 1/5*u**3. What is c in m(c) = 0?
-1, 2
Let w(x) be the second derivative of -5*x**7/42 - 8*x**6/3 + 9*x**5 - 5*x**4/6 - 175*x**3/6 + 45*x**2 - 35*x - 3. Solve w(u) = 0 for u.
-18, -1, 1
Factor -485*r**2 - 560*r + 15680 + 981*r**2 - 491*r**2.
5*(r - 56)**2
Let o(t) be the second derivative of 2*t**5/5 + 13*t**4/3 - 14*t**3/3 + 2*t - 7. Factor o(l).
4*l*(l + 7)*(2*l - 1)
Let m(p) be the first derivative of -p**4/32 - p**3/16 + 9*p**2/8 + 24*p - 8. Let o(g) be the first derivative of m(g). Factor o(j).
-3*(j - 2)*(j + 3)/8
Let x = -207 - -207. Factor -4/3*t**3 + 0 + 0*t**2 + 2/3*t + x*t**4 + 2/3*t**5.
2*t*(t - 1)**2*(t + 1)**2/3
Let f be (-7)/((-147)/56)*3/2. Let n(q) be the second derivative of 2/5*q**3 + 0*q**2 - q + 0 + 1/15*q**f. Factor n(r).
4*r*(r + 3)/5
Let n(y) = -16*y**3 + 5*y**2 + 6*y - 5. Let t(a) = -57*a**3 + 18*a**2 + 21*a - 18. Let g(c) = 18*n(c) - 5*t(c). Factor g(s).
-3*s*(s - 1)*(s + 1)
Let l(g) = g**3 + g**2 - 30*g + 3. Let t be l(5). Let d(n) be the first derivative of -17/8*n**4 + 12 - 8/3*n**t - n**2 - 1/2*n**5 + 0*n. Factor d(u).
-u*(u + 1)*(u + 2)*(5*u + 2)/2
Let c = 734 + -732. Let r(g) be the second derivative of 1/12*g**4 - 1/30*g**6 - 1/6*g**3 + 1/20*g**5 + 0 + 0*g**c + 2*g. Solve r(i) = 0.
-1, 0, 1
Let s(f) be the first derivative of f**6/720 - f**4/12 + 14*f**3/3 + 4. Let n(b) be the third derivative of s(b). Determine a so that n(a) = 0.
-2, 2
Let d(s) = 6*s**3 - 134*s**2 + 3170*s - 24326. Let t(b) = -7*b**3 + 133*b**2 - 3169*b + 24324. Let z(a) = -5*d(a) - 4*t(a). What is n in z(n) = 0?
23
Let k be ((-2145)/(-26))/15 + 5/(-1). Determine y, given that -1/8*y**3 - 1/2*y - k*y**2 + 0 = 0.
-2, 0
Let v(k) be the first derivative of 2/33*k**3 + 2/11*k**2 + 0*k - 3. Factor v(d).
2*d*(d + 2)/11
Let u be (-2 - (-32)/(-14))*(-84)/18. Factor 268*x**2 - 262*x**2 + 4 + 2 + u*x.
2*(x + 3)*(3*x + 1)
Let z = -3835 - -3837. Factor 1/3*b**z + 0*b + 0.
b**2/3
Let v = -68 - -73. Suppose -46*y + 19*y - 15 - 14 - 3*y**2 + v = 0. What is y?
-8, -1
Suppose -22/5*r - 56/5 - 2/5*r**2 = 0. Calculate r.
-7, -4
Let x(g) be the third derivative of -g**5/70 - 61*g**4/84 - 20*g**3/21 + 2*g**2 - 84. Factor x(y).
-2*(y + 20)*(3*y + 1)/7
Let b = -297 + 59. Let d = 1668/7 + b. Solve -2/7*p**3 + 0*p**2 + 0*p + 0 + d*p**4 = 0.
0, 1
Suppose -2*l + 10 = -0. Suppose -6*y + 640 = 185*y - 31*y. Solve 4/15*w**y - 4/15*w**2 + 2/15*w**l + 0 - 2/15*w + 0*w**3 = 0 for w.
-1, 0, 1
Suppose -73*u + 125 = 28*u - 77. What is m in -u*m**2 - 7/4*m - 1/4*m**3 + 0 = 0?
-7, -1, 0
Factor -3*p**3 - 11 - 24*p + 18 + 41 - 21*p**2.
-3*(p - 1)*(p + 4)**2
Let p(u) be the first derivative of -6*u**3/5 - 79*u**2/5 + 36*u/5 + 243. Factor p(s).
-2*(s + 9)*(9*s - 2)/5
Let t(d) be the third derivative of -d**8/336 - 5*d**7/42 - 223*d**6/120 - 823*d**5/60 - 134*d**4/3 - 224*d**3/3 + 437*d**2. Find o such that t(o) = 0.
-8, -7, -1
Let i be 12/(-10) + (-6)/(-30). Let u = i + 3. What is x in 4 - 4*x**u - 4 - 2 + 6*x = 0?
1/2, 1
Let b = 61 - 105. Let z = -131/3 - b. Find l, given that -z*l**2 - 2/3 + l = 0.
1, 2
Let a(p) = p**3 + 5*p**2 - 6*p + 6. Let v be a(-6). Let y be (-20)/v*114/(-1045). Factor -16/11*f**2 - 2/11*f - 10/11*f**3 + y.
-2*(f + 1)**2*(5*f - 2)/11
Suppose -84*i**2 - 30*i + 45/2*i**3 + 24 = 0. What is i?
-2/3, 2/5, 4
Suppose -3*x + 6*x + 55 = 2*p, 105 = 4*p - 5*x. Let u be (-2 - p/(-12))*-9. Let -3 - 42*d**4 + 33/2*d + 0*d**2 - 123/2*d**u = 0. Calculate d.
-1, 1/4, 2/7
Solve 39/5*r**2 - 17/10*r**3 - 28/5*r + 1/10*r**5 + 0 - 3/5*r**4 = 0 for r.
-4, 0, 1, 2, 7
Factor -1315460/3*b**2 - 1228250/3 + 44372/3*b**3 - 514/3*b**4 + 2499850/3*b + 2/3*b**5.
2*(b - 85)**3*(b - 1)**2/3
Let u(h) = -13*h**4 - 15*h**3 - 13*h**2. Let r(p) = -7*p**4 - 8*p**3 - 7*p**2. Let i = -67 + 56. Let f(j) = i*r(j) + 6*u(j). Factor f(z).
-z**2*(z + 1)**2
Let v(d) be the third derivative of d**5/60 + 37*d**4/24 - 19*d**3/3 + 2*d**2 + 248. Factor v(w).
(w - 1)*(w + 38)
Let o be ((-1)/4)/((-2)/104). Let r = o - 10. Factor k + 0*k**2 + 3*k**2 + 3*k**r + 2*k**2 - 1.
(k + 1)**2*(3*k - 1)
Let a = 258 - 258. Let y(q) be the second derivative of 0 + a*q**3 - 27/20*q**5 + 0*q**2 + 2/5*q**6 + 1/2*q**4 - 3*q. Let y(r) = 0. What is r?
0, 1/4, 2
Let o(l) = 12*l - 118. Let y be o(10). Let f(w) be the second derivative of 0 + 1/4*w**y - 7*w - 1/80*w**5 + 1/8*w**3 + 0*w**4. Factor f(i).
-(i - 2)*(i + 1)**2/4
Let r(j) be the second derivative of -j**5/100 - j**4/8 - 2*j**3/5 - 9*j**2/2 - 24*j. Let t(l) be the first derivative of r(l). Solve t(a) = 0 for a.
-4, -1
Let u = 