+ 162*t + 15 = 165*t, t = -3*n + 5. Let 0 + n*f + 5/3*f**3 - 2*f**4 + 0*f**2 + 1/3*f**5 = 0. What is f?
0, 1, 5
Let q(i) = 5*i**2 + 16*i + 25. Let u(k) = k**2 - k - 1. Suppose 0 = 10*g - 6*g + 8. Let w be ((-6)/g)/3 + -3. Let m(p) = w*u(p) + q(p). Let m(t) = 0. What is t?
-3
Let x(j) be the third derivative of -j**5/15 + 2*j**4/3 - 2*j**3 + 50*j**2. Factor x(p).
-4*(p - 3)*(p - 1)
Suppose 3/2*n**2 + 30 + 18*n = 0. What is n?
-10, -2
Let q(l) be the third derivative of 1/66*l**5 + 0*l + 1/660*l**6 + 12*l**2 + 1/11*l**3 + 0 + 7/132*l**4. Determine o, given that q(o) = 0.
-3, -1
Let w(y) be the second derivative of -3/14*y**2 + 1/14*y**4 + 11*y + 0 + 1/14*y**3. Factor w(i).
3*(i + 1)*(2*i - 1)/7
Let u(l) be the third derivative of -l**6/40 - l**5/10 - l**4/8 - 60*l**2. Suppose u(j) = 0. What is j?
-1, 0
Let o(d) = 5*d**5 - 2*d**3 - 3*d - 4. Let j(s) = 14*s**5 - 6*s**3 - 8*s - 11. Let q(m) = 4*j(m) - 11*o(m). Factor q(g).
g*(g - 1)**2*(g + 1)**2
Let w = -7544/55 + 1511/11. Solve -4/5*o - 1/5*o**4 + w*o**3 + 6/5*o**2 - 8/5 = 0 for o.
-2, -1, 2
Let d = -3414 + 3417. Solve 1/4*k**4 - 3/4 - k**d + 1/2*k**2 + k = 0.
-1, 1, 3
Let y(c) be the second derivative of -c**4/6 + 13*c**3/3 + 48*c**2 + 7*c - 1. Determine d so that y(d) = 0.
-3, 16
Suppose -14*s + 30 - 2 = 0. Let g(j) be the second derivative of 3/2*j**3 + 0 + 7*j - 9/2*j**s + 1/60*j**5 - 1/4*j**4. Factor g(q).
(q - 3)**3/3
Let h be (14/(-49))/(1/(-7)). Let d be (-48)/16 + (-8)/(-1). Suppose -3/2*q**3 + 5/4*q**4 - 1/4*q**d - 1/2*q**h - 3/4 + 7/4*q = 0. Calculate q.
-1, 1, 3
Let k = -2115 - -2115. Determine l so that 0 - 3/4*l**2 + k*l + 1/4*l**3 = 0.
0, 3
Let 18*k**4 + 33*k**4 + 916*k**2 + 7*k**4 - 968 - 6*k**4 + 416*k**3 - 156*k + 2*k**5 - 262*k = 0. Calculate k.
-11, -4, -1, 1
Let n = 24 - 10. Let b = -12 + n. What is q in 10*q**b - 9*q**2 - 2*q**3 + q**3 - q**4 + q**5 = 0?
-1, 0, 1
Suppose -5*u = 0, 2*d - 5*u = d - 205. Let i = 205 + d. Find l such that i*l + 0 - 5/4*l**3 - 1/2*l**2 = 0.
-2/5, 0
Let p(d) be the first derivative of -4*d**5/15 - 38*d**4 + 464*d**3/3 - 700*d**2/3 + 156*d - 611. Factor p(r).
-4*(r - 1)**3*(r + 117)/3
Let g(k) = -2*k**2 - 36*k + 1642. Let p be g(21). Let m = -3/64 + 179/1088. What is o in -2/17*o**2 - m*o**5 + 0*o + 2/17*o**3 + 2/17*o**p + 0 = 0?
-1, 0, 1
Let a be 7268/13685 - 1/(-10)*2. Let v = -2/119 + a. Factor v*f - 1/7*f**2 - 4/7.
-(f - 4)*(f - 1)/7
Let w(h) be the first derivative of 2*h**3 + 52*h**2 + 34*h + 60. Factor w(c).
2*(c + 17)*(3*c + 1)
Let l be (1/((-4)/(-8)))/4. Let k(j) be the first derivative of 2/15*j**3 - l*j**4 + 0*j + 10 + 0*j**2 + 8/25*j**5. Factor k(z).
2*z**2*(z - 1)*(4*z - 1)/5
Let k(r) be the second derivative of -r**9/68040 + r**8/10080 - r**7/5670 - 7*r**4/12 + 22*r. Let s(q) be the third derivative of k(q). Factor s(m).
-2*m**2*(m - 2)*(m - 1)/9
Let t be (2*(-3 - (-332)/112))/(94/(-329)). What is a in t - 5/4*a**5 + 1/4*a**4 - 1/2*a**2 + 5/2*a**3 - 5/4*a = 0?
-1, 1/5, 1
Let g be 1 + (-5 - 56/32 - -7). Factor -4*p + 1 + 17/4*p**2 - g*p**3.
-(p - 2)*(p - 1)*(5*p - 2)/4
Let a(r) = r**2. Let q(c) = -8*c**2 - 8*c + 12. Let s(d) = 18*a(d) + 2*q(d). Factor s(h).
2*(h - 6)*(h - 2)
Let x(d) be the second derivative of 2/15*d**6 + 2/3*d**3 - 1/5*d**5 - d - 1/3*d**4 + 0*d**2 + 0. Determine j, given that x(j) = 0.
-1, 0, 1
Suppose -4*c + 176 = 3*w, -2*w + 3*c = -65 - 41. Find i such that -4*i + 31 - i**2 - w + 21 = 0.
-2
Let x(z) be the first derivative of 21*z**4/2 - 58*z**3/3 - 10*z**2 + 77. Determine j so that x(j) = 0.
-2/7, 0, 5/3
Let d(z) be the third derivative of -z**9/30240 + z**8/3360 - z**6/90 + 19*z**5/60 - 7*z**2. Let k(n) be the third derivative of d(n). Factor k(c).
-2*(c - 2)**2*(c + 1)
Let s be ((-28)/2 + 14)/1. Factor s + 3/5*g**3 + 6/5*g**2 + 3/5*g.
3*g*(g + 1)**2/5
Find u, given that 4*u**2 - 82*u - 76*u + 186*u + 48 = 0.
-4, -3
Factor 2*i + 1/4*i**2 + 3.
(i + 2)*(i + 6)/4
Suppose -88/7*c**2 - 10/7*c**5 + 24/7*c + 10*c**3 + 4/7*c**4 + 0 = 0. Calculate c.
-3, 0, 2/5, 1, 2
Factor 29/2*d + 17/4*d**2 - 1/4*d**3 + 10.
-(d - 20)*(d + 1)*(d + 2)/4
Suppose 3*g - 5*f - 35 = g, g - 30 = 5*f. Suppose -7 - g = -4*d. Factor 0 + 0*t - 2/5*t**2 + 2/5*t**4 + 0*t**d.
2*t**2*(t - 1)*(t + 1)/5
Suppose 35 = 5*u - 0. Suppose 4*o - u*o = -15. Factor 20*a**3 - 5*a**o - 17*a**3 + 2*a**5.
-3*a**3*(a - 1)*(a + 1)
Let g be -118 + 99 + 295/15. Suppose g*c**2 - 8/3 + 2*c = 0. What is c?
-4, 1
Let q = -7/13 + 27/26. Solve 0 - q*s**2 - 3/2*s = 0 for s.
-3, 0
Let i = 11 + -8. Let c(y) = y**4 - 3*y**3 - 4*y**2 + 3*y - 3. Let h(j) = -6*j**4 + 14*j**3 + 20*j**2 - 14*j + 14. Let l(p) = i*h(p) + 14*c(p). Factor l(z).
-4*z**2*(z - 1)*(z + 1)
Suppose 2*s - 6 = -j - 10, -2*j + 24 = -4*s. Let m(i) be the first derivative of 2/5*i**5 + 1/2*i**j + 4 - 2*i**3 - 5*i**2 - 4*i. Factor m(c).
2*(c - 2)*(c + 1)**3
Let f(m) be the third derivative of m**7/280 + 7*m**6/160 + 3*m**5/16 + 9*m**4/32 - 23*m**2 + 2. Factor f(q).
3*q*(q + 1)*(q + 3)**2/4
Let b = -9 + 5. Let h be b + 7 - 2/2. Factor 3*d + d**2 + 4*d**2 - d**4 - 3*d**3 - h*d**2 - 2*d**4.
-3*d*(d - 1)*(d + 1)**2
Suppose -5 = -z - 1. Determine c so that z*c**4 - 6*c - 8*c**2 + 4*c**4 + 10*c - 4*c**5 = 0.
-1, 0, 1
Let n = 1 - -1. Let m = 212 + -210. What is t in -t**n + 0*t - 2*t**3 - 6*t + 7*t**2 + m = 0?
1
Let 31*j**2 + 50*j - 222*j**2 + 111*j**2 + 32*j**3 = 0. Calculate j.
0, 5/4
Let a(n) = 4*n + 68. Let k be a(-13). Determine t, given that k*t + 506*t**2 - 538*t**2 - 4*t**4 + 27*t**3 - 7*t**3 = 0.
0, 1, 2
Let n = 39 + -34. Let c be (15/(-12))/(n/(-2)). Factor 0 - c*b**2 - 1/2*b.
-b*(b + 1)/2
Let x(k) = -4*k**3 - 7*k**2 - 8*k. Let f(p) = p**3 + p + 1. Let r(u) = -3*f(u) - x(u). Let v be r(-6). Solve -7 + 3 - v*d + 6 + d**2 = 0.
1, 2
Let v(j) be the second derivative of j**5/110 - 37*j**4/66 + 120*j**3/11 - 324*j**2/11 - 174*j. Factor v(z).
2*(z - 18)**2*(z - 1)/11
Let o(p) be the second derivative of p**4/4 + 9*p**3/2 - 85*p + 1. Suppose o(s) = 0. Calculate s.
-9, 0
Let l be ((-5)/(-2) + -1)/(12/40). Suppose l*a = a. Solve -3/7*v**2 + 6/7*v + a = 0 for v.
0, 2
Let v(d) be the first derivative of d**4 + 4*d**3 - 16*d - 25. Factor v(f).
4*(f - 1)*(f + 2)**2
Suppose 36 + 9 = 5*d. Factor 8*i**2 + 1 + 4*i**3 + 2*i - d - 6*i.
4*(i - 1)*(i + 1)*(i + 2)
Let t(q) be the first derivative of -q**6/480 + q**5/80 - 2*q**3/3 - 21. Let z(m) be the third derivative of t(m). Factor z(l).
-3*l*(l - 2)/4
Let w(f) be the first derivative of -f**3/6 + 193*f**2/4 - 96*f + 378. Factor w(r).
-(r - 192)*(r - 1)/2
Let g be 1/(6/(-2)) - (-16)/3. Let g*s**2 - s - 3*s**2 - 3*s + 4 - 2 = 0. What is s?
1
Let j = -1132 - -1134. Factor 8/5*o**j + 2*o + 2/5.
2*(o + 1)*(4*o + 1)/5
Let r(f) = 10*f + 8*f + 18 + 7*f**2 - 5*f**2. Let n(a) = 7*a**2 + 73*a + 73. Let j(m) = -2*n(m) + 9*r(m). Factor j(s).
4*(s + 2)**2
Suppose -5*g = -2*g. Let a = 1493/998 + 2/499. Factor -a*t**2 + t + 1/2*t**3 + g.
t*(t - 2)*(t - 1)/2
Let o(i) = -i**3 + 43*i**2 - 123*i + 122. Let g be o(40). Factor 1/7*s**g + 1/7 - 2/7*s.
(s - 1)**2/7
Let d be -4 - -4 - (5 - 140/25). Suppose 0 = b + 2 - 5. Suppose -3/5 + d*r**2 + 3/5*r**b - 3/5*r = 0. What is r?
-1, 1
Let o be 35/(-42)*6 - -8. Factor 1/4*i**4 + 0 - 1/4*i**2 + 1/2*i - 1/2*i**o.
i*(i - 2)*(i - 1)*(i + 1)/4
Let o(h) = 3*h**4 + 5*h**3 + 2*h**2 + 2*h. Let y(c) = 2*c**4 + c**3 - c**2 + c. Let k(q) = -3*o(q) + 6*y(q). Find u, given that k(u) = 0.
-1, 0, 4
Let g be -4 + 24*(-18)/12. Let o = g + 44. Factor -3/5*i**2 + 0*i - 3/5*i**o + 0 - 6/5*i**3.
-3*i**2*(i + 1)**2/5
Let w(b) = 11*b**2 - 258*b + 247. Let u(p) = 2*p**2 - 43*p + 41. Let y(z) = 34*u(z) - 6*w(z). Factor y(r).
2*(r - 1)*(r + 44)
Let k(b) be the third derivative of b**8/616 - b**7/105 + b**6/110 + 2*b**2 + 5. Solve k(h) = 0.
0, 2/3, 3
Let g(z) be the third derivative of -1/15*z**5 + 0 + 13*z**2 + 0*z + 0*z**6 + 1/105*z**7 + 0*z**4 + 1/3*z**3. Suppose g(f) = 0. What is f?
-1, 1
Let t(h) be the second derivative of h**5/15 - 8*h**3/9 - 100*h. Factor t(r).
4*r*(r - 2)*(r + 2)/3
Let o = -28 - -30. Suppose -4*b + o = 2*s - 3*b, 8 = -4*b. Suppose -2/5*v**3 + 2/5*v + 4/5 - 4/5*v**s = 0. What is v?
-2, -1, 1
Let i be (-24)/252 - (-800)/1785. What is n in 0 - 2/17*n**2 + i*n = 0?
0, 3
Let t(l) = 2*l**3 + 4*l**2. Let s(z) = 3*z**3 + 6*z**2 - 21*z + 21. Let d(n) = -n + 1. Let q(