8*p**4 + v*p**4 - 4*p - 2*p**3 + 2*p + 4*p**5 = 0. What is p?
-1, 1/4, 1
Suppose -60/7 - 54/7*o + 54/7*o**3 + 66/7*o**2 - 6/7*o**4 = 0. What is o?
-1, 1, 10
Suppose -14/5*q**3 + 0 + 0*q - 49/5*q**2 - 1/5*q**4 = 0. What is q?
-7, 0
Suppose -25*i**2 - 20*i**3 - 6*i + 28*i**4 - 2*i - 33*i**4 - 2*i = 0. Calculate i.
-2, -1, 0
Let x = 32 + -25. Let j be x + -9 - (-4 - 2). Determine m, given that 7*m**2 + 13*m**3 - 8*m**3 + 18*m**2 - 5*m**j + 15*m = 0.
-1, 0, 3
Let n be (2/6 + 151/(-453))/(-1). Let m = -8 + 13. Suppose -2/5*u**m + 2*u**2 + 6/5*u**3 - 2/5*u**4 + 4/5*u + n = 0. Calculate u.
-1, 0, 2
Let g(a) be the third derivative of a**5/390 + 49*a**4/156 + 94*a**3/39 - 4*a**2 - 20*a. Factor g(t).
2*(t + 2)*(t + 47)/13
Let o(g) be the third derivative of g**7/1155 + g**6/132 + 55*g**2. Factor o(i).
2*i**3*(i + 5)/11
Let b(z) = -z - 14. Let j be b(-9). Let k be 4/3*j/(-20). Let k*a**4 - 4/3*a + 2*a**2 - 4/3*a**3 + 1/3 = 0. What is a?
1
Let w(b) be the second derivative of b**6/120 - 79*b**5/280 + 11*b**4/28 + 11*b**3/3 - 12*b. Let c(r) be the second derivative of w(r). Let c(o) = 0. What is o?
2/7, 11
Let q(m) be the third derivative of m**6/180 - m**5/30 + m**4/18 - m**2 - 3*m. Factor q(t).
2*t*(t - 2)*(t - 1)/3
Let s(r) be the third derivative of -r**5/210 - r**4/84 + 2*r**3/7 + 2*r**2 + 133. Solve s(m) = 0 for m.
-3, 2
Let g = 14009/7 - 2001. Factor -8/7*a - 6/7 - g*a**2.
-2*(a + 1)*(a + 3)/7
Suppose -7*x + 2*x + 10 = 0. Let z(l) be the first derivative of -2 - 1/9*l**3 + 0*l + 1/3*l**x. Suppose z(u) = 0. Calculate u.
0, 2
Suppose 9*o + 6 = 24. Factor -2 - 1/2*p**o - 5/2*p.
-(p + 1)*(p + 4)/2
Let g(s) = 9*s**4 - 20*s**3 - 77*s**2 - 69*s - 43. Suppose 39*o + 16 = 31*o. Let k(j) = j**4 - j**2 + j - 1. Let r(p) = o*g(p) + 22*k(p). Factor r(z).
4*(z + 1)**2*(z + 4)**2
What is p in 0 - 1/6*p**2 + 1/6*p = 0?
0, 1
Suppose -4 = 6*f - f + 2*t, -f - 5*t = 10. Suppose f*p - 2*p = 0. Factor -3*h - 3*h + 3*h**2 + 3 + p.
3*(h - 1)**2
Let b be 4/1*(-10)/(-1 - 79). Let u(f) be the first derivative of -1/5*f**5 - 7 + 0*f + 0*f**2 + 0*f**3 - b*f**4. Suppose u(j) = 0. What is j?
-2, 0
Let 182*b + 6248*b**3 + 195*b**4 + 6528*b**2 + 970*b + 36*b**5 + 952*b**4 - 239*b**4 = 0. What is b?
-12, -1, -2/9, 0
Let c(q) = -7*q**3 + 16*q**2 + 28*q - 8. Let x(v) = 27*v**3 - 63*v**2 - 114*v + 30. Let b(a) = 15*c(a) + 4*x(a). Let b(t) = 0. Calculate t.
-2, 0, 6
Let i(k) be the first derivative of -15/4*k**4 + 10*k - 12 - 5/3*k**3 + 15/2*k**2 - k**5. Find l, given that i(l) = 0.
-2, -1, 1
Let j(g) = g**2 - 32*g + 6. Let w be j(32). Let c(s) be the first derivative of -w + s - 1/4*s**2 - 1/6*s**3. Suppose c(a) = 0. Calculate a.
-2, 1
Let u = -5 + 4. Let a be -1*u/6 - 23/(-6). Let 22/7*g**a + 2/7*g**2 + 0 - 6/7*g**5 + 4/7*g - 22/7*g**3 = 0. Calculate g.
-1/3, 0, 1, 2
Let z(p) be the third derivative of 0*p**3 - 1/504*p**8 - 2/315*p**7 + 0*p**6 + 0 + 0*p + 8*p**2 + 1/36*p**4 + 1/45*p**5. What is r in z(r) = 0?
-1, 0, 1
Let u(n) be the first derivative of 1/12*n**6 + 18 - 1/10*n**5 + 1/3*n**3 + 1/4*n**2 - 1/2*n - 1/4*n**4. Factor u(y).
(y - 1)**3*(y + 1)**2/2
Suppose -3*d = 9*d + 48. Let a(k) = -k**3 - 4*k**2 - 2*k - 6. Let h be a(d). Factor 1 - 7/4*m**h - 1/2*m**3 - m.
-(m + 2)**2*(2*m - 1)/4
Let l(d) be the first derivative of 1/3*d**3 - 3 + 1/10*d**5 + 3/2*d**2 + 0*d + 1/4*d**4 + 1/60*d**6. Let w(h) be the second derivative of l(h). Factor w(v).
2*(v + 1)**3
What is n in -6*n + 1/2*n**2 + 0 = 0?
0, 12
Let h(r) be the first derivative of r**4/16 - 5*r**3/4 + 9*r**2 - 27*r - 189. Factor h(c).
(c - 6)**2*(c - 3)/4
Let s(y) = y**4 - y**3 - y**2. Let n(p) = 15*p**5 - 54*p**4 + 57*p**3 + 30*p**2 - 84*p + 24. Let c(h) = n(h) - 12*s(h). Suppose c(k) = 0. Calculate k.
-1, 2/5, 1, 2
Let -1/9*u**3 + 4/9 - 7/9*u**2 + 1/3*u**4 + 0*u + 1/9*u**5 = 0. What is u?
-2, -1, 1
Let z be (2/17 - 405/(-170))*28/385. Suppose 0*n + z*n**3 + 0 + 2/11*n**2 = 0. Calculate n.
-1, 0
Let r(f) = -10*f**4 + 40*f**2 - 15*f + 5. Let t(n) = -5*n**4 + 19*n**2 - 8*n + 2. Let m(u) = -2*r(u) + 5*t(u). Let m(d) = 0. Calculate d.
-2, 0, 1
Determine i, given that 8/3*i**4 + 0 - 1/3*i**5 - 23/3*i**3 - 4*i + 28/3*i**2 = 0.
0, 1, 2, 3
Factor 112/11*q - 6/11*q**2 + 38/11.
-2*(q - 19)*(3*q + 1)/11
Let m be (12 - 13) + -1 + 1 + 5. Factor -12*x**3 - 1866 + 4*x**m - 16*x**2 + 1866.
4*x**2*(x - 4)*(x + 1)
Let h(w) be the second derivative of 1/3*w**4 - 1/30*w**5 - 4/3*w**3 + 0 + 8/3*w**2 + 17*w. Solve h(m) = 0 for m.
2
Let p(b) = -8*b**2 - 2*b - 1. Let y(m) = m**2. Let u(g) = -p(g) - 4*y(g). Let h be u(-1). Factor 4/3*x**2 - 2/3*x + 0 - 2/3*x**h.
-2*x*(x - 1)**2/3
Find t, given that 2/23*t**2 + 0 + 10/23*t = 0.
-5, 0
Let j = 1754 - 5261/3. Factor 2/3 + x + j*x**2.
(x + 1)*(x + 2)/3
Solve -2209/4 + 2115/4*y + 93/4*y**2 + 1/4*y**3 = 0.
-47, 1
Let r(p) = 2*p**2 + 5*p - 7. Let j = 34 + -28. Suppose 3*k + 2*n - 9 = 0, j*k - k - 28 = n. Let s(f) = -f + 1. Let q(c) = k*s(c) + r(c). Factor q(m).
2*(m - 1)*(m + 1)
Let m be 5/25 - (-19)/5. Solve -13*t**4 + 7*t**4 + m*t**3 + 10*t**4 = 0.
-1, 0
Let q(p) = -91*p**3 - 2*p**2 + p. Let w be q(1). Let d = 94 + w. Determine i, given that -9 - 3*i**d + 9*i + 1/3*i**3 = 0.
3
Determine i, given that 0*i - 7/4*i**2 - 2*i**4 - 29/8*i**3 - 1/8*i**5 + 0 = 0.
-14, -1, 0
Let a be (80/32)/((20/6)/(40/15)). Suppose 0*w - 1/2*w**a + 1/2 = 0. What is w?
-1, 1
Let z(j) = 19*j - 720. Let h be z(38). Find g, given that 6/7*g**3 + 16/7 - 2/7*g**4 + 4/7*g**h - 24/7*g = 0.
-2, 1, 2
Let l(m) be the second derivative of 16*m + 1/10*m**3 - 1/30*m**7 + 1/25*m**5 + 1/5*m**2 + 2/25*m**6 - 7/30*m**4 + 0. Suppose l(o) = 0. Calculate o.
-1, -2/7, 1
Find y, given that 30*y**2 - 28 - 47 + 105*y - 48*y**2 = 0.
5/6, 5
Let t(l) = -8 - 4*l + 8 - l**2 + 7 + 0*l**2. Let v be t(-5). Factor -31*y + 20 + 25*y**v - y - 8*y - 5*y**3.
-5*(y - 2)**2*(y - 1)
Let i be (-4)/7*(-7)/2. Suppose 3*z = i*h + 4, -3*h + 1 = -z - 0*h. Solve z*c**3 + 0*c**3 + 9*c**2 + c**3 + 6*c = 0 for c.
-2, -1, 0
Let m be (-4 - -5)/(3/(-18)*-3). Factor t**5 + 7*t**2 + 8*t**2 - 15*t**m.
t**5
Suppose -65*r - 44 = -69*r. Suppose 12 = 13*j - r*j. What is h in 24*h + 15/2*h**3 + j + 51/2*h**2 = 0?
-2, -1, -2/5
Let g(l) be the first derivative of 17 + 81*l + 1/3*l**3 - 9*l**2. Suppose g(s) = 0. What is s?
9
Let a = 27242/9 + -3026. Solve 0 + 10*n**4 + 0*n - 64/9*n**3 + a*n**2 + 18*n**5 = 0.
-1, 0, 2/9
Suppose 27525*i - 27529*i = -16. Find o such that 3/4*o**2 - 3/4*o**i + 0*o**3 + 0 + 0*o = 0.
-1, 0, 1
Let v(x) be the second derivative of 25 + 0*x**2 + 1/30*x**6 + 1/4*x**4 + 3/20*x**5 + 1/6*x**3 - 2*x. Factor v(i).
i*(i + 1)**3
Let n be ((-561)/44)/(6/16). Let j = n - -37. Suppose -4*z**2 + 89*z - 2*z**3 - 2*z**j - 89*z = 0. What is z?
-1, 0
Let u(o) be the first derivative of 0*o**2 - 2/35*o**5 + 25 + 0*o - 2/7*o**4 - 2/7*o**3. Let u(n) = 0. Calculate n.
-3, -1, 0
Let k(i) be the first derivative of -i**3 - 393*i**2 - 51483*i - 309. What is l in k(l) = 0?
-131
Suppose -4*o = 16, 13*o + 31 - 7 = -4*x. Let d(a) be the first derivative of -x + 27*a + 3*a**3 - 1/4*a**4 - 27/2*a**2. Factor d(b).
-(b - 3)**3
Solve 0 + 18/13*c**2 - 12/13*c**3 - 8/13*c + 2/13*c**4 = 0.
0, 1, 4
Let v(x) = 46*x + 30. Let w be v(3). Let l be (40 - 1)*16/w - 2. Factor 20/7*a**2 - 8/7 - l*a.
4*(a - 1)*(5*a + 2)/7
Let b(o) = -o**3 - 7*o**2 - 7*o - 6. Let k be b(-6). Suppose 3*l - v = -5 - k, 5*l = -2*v + 10. Suppose -4/3 + l*w + 4/3*w**2 = 0. Calculate w.
-1, 1
Let z be 10/(-6)*68/(-170). Let j(a) be the first derivative of -4/3*a + 6 + 1/3*a**3 + z*a**2 - 1/15*a**5 - 1/6*a**4. Suppose j(y) = 0. Calculate y.
-2, 1
Let u(o) be the third derivative of 1/392*o**8 + 7*o**2 - 3/140*o**6 + 0*o**3 - 1/14*o**4 + 1/245*o**7 - 1/14*o**5 + 0*o + 0. Factor u(r).
6*r*(r - 2)*(r + 1)**3/7
Let z = 177 - 173. Suppose -2*y + 2*c + 2 = 0, y = -3*c + 1 + z. Factor -2*d**3 + 6*d**y - 8*d + 1/4*d**4 + 4.
(d - 2)**4/4
Suppose 5*s - 4*f = 30, s = 3*s + f + 1. Let l = 409/770 - -1/70. Factor -l*p + 2/11*p**s + 4/11.
2*(p - 2)*(p - 1)/11
Suppose 2*w + 6 = 0, 0 = -5*d + w - 0*w + 28. Factor o - 4*o + 0*o**3 + d*o**3 - 2*o**3.
3*o*(o - 1)*(o + 1)
Let c be ((-5)/(-2) - 2) + 33/(-100). Let g = c + 2/25. Factor 1/4*k**3 - 1/4*k**2 + 1/4 - g*k.
(k - 1)**2*(k + 1)/4
Let s(j) = -j**3 - 5*j**2 - 18. Let n be s(-6). Let q be (2/5)/(2 