16 + t = 6*s. Suppose 3*k**5 - 3*k**5 - 6*k - 4*k**2 + 4 - 2*k**s + 8*k**3 = 0. Calculate k.
-2, -1, 1
Let w be ((-8)/(-10))/(26/10). Let l(s) = -144*s**2 - 1590*s - 64. Let n be l(-11). Find h, given that -14/13*h + 6/13*h**n + w = 0.
1/3, 2
Suppose 7*h - 21 = 140. Let -60*y**2 - 30*y**4 - h*y - 5*y**5 - 65*y**3 + 36*y - 33*y = 0. What is y?
-2, -1, 0
Suppose -85 + 113 = 7*x. Let n(h) be the first derivative of 0*h**3 - 3/8*h**2 + 1/2*h - 1 + 1/16*h**x. Solve n(f) = 0 for f.
-2, 1
Let h(s) = -4*s + 3. Let o(x) = x - 2. Let w(q) = h(q) + 2*o(q). Let c(g) = -8*g**3 + 18*g**2 - 24*g - 4. Let a(u) = c(u) - 6*w(u). Find f such that a(f) = 0.
1/4, 1
Let c(j) be the first derivative of 0*j - 10*j**2 - 5 + 5/3*j**3. Factor c(p).
5*p*(p - 4)
Let w(k) be the third derivative of -k**7/630 + k**6/90 + 7*k**4/24 - 3*k**2. Let f(l) be the second derivative of w(l). Factor f(n).
-4*n*(n - 2)
Let z(q) = -13*q**3 - 13*q**2 - 7*q - 11. Let v(j) = j**3 + j**2 + j + 1. Let d(u) = 22*v(u) + 2*z(u). Factor d(g).
-4*g*(g - 1)*(g + 2)
Let r(z) be the first derivative of 8 + 0*z + 0*z**2 + 0*z**5 + 1/14*z**4 + 0*z**3 - 1/21*z**6. Factor r(q).
-2*q**3*(q - 1)*(q + 1)/7
Let v(q) = -q**2 + q + 22. Let w be v(5). Let s(i) be the first derivative of -w + 0*i + 3/4*i**4 + 0*i**5 + 0*i**2 + 0*i**3 - 1/2*i**6. Factor s(m).
-3*m**3*(m - 1)*(m + 1)
Suppose -91*k = -459*k - 377*k + 2980. Factor -10 - 16*d - 2/5*d**k + 16/5*d**3 - 12/5*d**2.
-2*(d - 5)**2*(d + 1)**2/5
Let o be (-8 - -6)*-1*1. Suppose 22*d**o + 64*d - 5*d**2 + 20*d**3 + 8*d**2 + 16 + 43*d**2 = 0. What is d?
-2, -1, -2/5
Determine r so that 0*r + 67 - 70*r**2 + 36 + 5*r**3 - 33 - 5*r = 0.
-1, 1, 14
Factor 0*t**3 + 3/4*t**2 + 0 - 1/4*t**4 + 1/2*t.
-t*(t - 2)*(t + 1)**2/4
Let i = 4 - -1. Suppose -5*s + 5*l - l = 2, -l + i = s. Let 16/7*g + 16/7*g**s + 0 + 4/7*g**3 = 0. Calculate g.
-2, 0
Suppose -5*z - w + 75 = -0*w, 0 = 3*z - 2*w - 32. What is o in -z - 3*o**4 - 2*o**4 + 11*o + 25*o**3 - 45*o**2 + 24*o + 4 = 0?
1, 2
What is t in -8*t + 2*t**3 - 16/5 + 4/5*t**2 = 0?
-2, -2/5, 2
Let f(j) be the third derivative of j**5/20 + 25*j**4/4 + 625*j**3/2 + 5*j**2 + 31*j. Factor f(u).
3*(u + 25)**2
Let a(n) = 16*n - n**2 + 6*n + 0*n**2 + 26. Let q be a(23). Determine v so that -48/11*v**2 - 30/11*v - 4/11 + 32/11*v**q = 0.
-1/4, 2
Let n = 706/3 + -235. Let s(x) be the second derivative of 0 + 0*x**2 - 1/20*x**5 - 1/12*x**4 - 6*x + n*x**3. Let s(d) = 0. Calculate d.
-2, 0, 1
Factor -21/2*m + 3/2*m**3 + 0*m**2 + 9.
3*(m - 2)*(m - 1)*(m + 3)/2
Let q be (-4)/(-2) + -6 - (-19 + (-618)/(-42)). Let w = 1675/2919 + -1/417. Factor 0*l**3 + q*l - 2/7*l**5 - 4/7*l**4 + w*l**2 + 0.
-2*l*(l - 1)*(l + 1)**3/7
Let n(r) = -2*r + 18. Let m be n(7). Factor 92*y**4 - m*y**2 + 94*y**4 - 2*y**3 - 174*y**4 + 18*y**3 - 8*y.
4*y*(y + 1)**2*(3*y - 2)
Suppose 4*b - 16 = 0, -156 = -5*o - 4*b - 40. Factor o*f - 18*f - 1 - 2*f**2 + 13 + 0.
-2*(f - 3)*(f + 2)
Let i(n) be the second derivative of n**4/3 + 4*n**3 + 10*n**2 + n + 8. Factor i(t).
4*(t + 1)*(t + 5)
Factor -4449*d**3 + 93 + 3*d + 4446*d**3 + 0*d - 93*d**2.
-3*(d - 1)*(d + 1)*(d + 31)
Let f(d) be the third derivative of -d**7/490 + d**6/70 + 11*d**5/140 + 3*d**4/28 + 24*d**2 - 2. Factor f(s).
-3*s*(s - 6)*(s + 1)**2/7
Let g = 8 - 5. Let i = 167 - 164. Solve 2*q**2 + 0*q**g + i*q**3 - 5*q**3 = 0 for q.
0, 1
Let g be 840/2 + 4/(-7). Let j = g + -418. Solve 2/7*r**4 + j*r**3 + 18/7*r**2 + 4/7 + 2*r = 0.
-2, -1
Let n(h) be the second derivative of h**7/168 + h**6/24 + h**5/10 + h**4/12 - 183*h. Factor n(q).
q**2*(q + 1)*(q + 2)**2/4
Let h(d) = 5*d + 65. Let y be h(-13). Factor 0 + 2/13*p**3 + y*p + 0*p**2.
2*p**3/13
Let h(a) = -6*a**2 + 5. Let j be h(0). Let y(l) be the second derivative of 0*l**2 + 0*l**3 + 3/80*l**j + 1/40*l**6 + 0*l**4 + 3*l + 0. What is b in y(b) = 0?
-1, 0
Let j(k) be the first derivative of 55 + 0*k + 5/6*k**3 + 15/4*k**2. Determine t so that j(t) = 0.
-3, 0
Let p(k) be the third derivative of k**5/240 - k**4/24 + 66*k**2. Factor p(w).
w*(w - 4)/4
Let z(h) = -h**2 + 14*h - 1. Let n be z(14). Let r be (n*1/2)/(-1). Determine m so that 0 + m + r*m**2 = 0.
-2, 0
Let k(z) be the first derivative of -38 + 40/11*z + 1/22*z**4 + 6/11*z**3 + 24/11*z**2. Factor k(q).
2*(q + 2)**2*(q + 5)/11
Let i be (-658)/(-42) + 2/(-3). Factor 27*x**2 + i*x**2 - 15*x**2 - 8 + 3*x**3 + 89 + 81*x.
3*(x + 3)**3
Let -2*f**3 + 38*f - 1182 + 0*f**3 + 1154 - 8*f**2 = 0. Calculate f.
-7, 1, 2
Let s be -19 + 1 + -2 + 5. Let k be s + 12 + 25/7. Solve 4/7*m**2 - 2/7*m**3 - k + 2/7*m = 0 for m.
-1, 1, 2
Let d(b) = 56 - 25*b**2 - 112 + 12*b + 58 + 6*b**3. Let s(w) = 6*w**3 - 24*w**2 + 12*w + 3. Let o(f) = -3*d(f) + 2*s(f). Factor o(y).
-3*y*(y - 4)*(2*y - 1)
Let f = 10 + -7. Solve w**4 + 5*w**3 + w**4 - 5*w**f = 0 for w.
0
Let g(x) be the first derivative of -2*x**6/15 + 2*x**5/5 - 4*x**3/3 + 2*x**2 - 7*x + 31. Let f(a) be the first derivative of g(a). Factor f(l).
-4*(l - 1)**3*(l + 1)
Let h(n) be the second derivative of n**6/120 - 19*n**5/80 - n**4/16 + 59*n**3/24 - 19*n**2/4 - 54*n + 3. Let h(q) = 0. Calculate q.
-2, 1, 19
Let p = 66 + -66. Let l(q) be the third derivative of -3*q**2 + 1/72*q**4 + 1/180*q**5 + p*q + 0 - 1/9*q**3. Factor l(x).
(x - 1)*(x + 2)/3
Let s(o) be the second derivative of -o**4 + 2*o**3/3 - 4*o**2 + 8*o. Let g(f) = 1. Suppose -3 + 11 = -m. Let y(q) = m*g(q) - s(q). Factor y(n).
4*n*(3*n - 1)
Let t be 9/(-15) + 1*2. Let i = 1/832 + 7483/4160. Let 3*l - i + 1/5*l**3 - t*l**2 = 0. What is l?
1, 3
Let t(r) be the first derivative of 5/2*r**2 + 1/9*r**3 + 1/90*r**5 + 1/18*r**4 + 0*r - 6. Let a(k) be the second derivative of t(k). Factor a(d).
2*(d + 1)**2/3
Let c(z) be the first derivative of -z**3 + 17*z**2/4 + 3*z/2 + 186. Factor c(w).
-(w - 3)*(6*w + 1)/2
Let l(m) be the first derivative of -m**7/980 - m**6/630 + m**5/60 - m**4/42 - 37*m**3/3 - 21. Let q(t) be the third derivative of l(t). What is g in q(g) = 0?
-2, 1/3, 1
Suppose -5*z - 6*q = -2*q - 22, -3*z + 16 = q. Let s be 5 - (3 + (6 - z)). What is u in 0 - 4/3*u**4 - 4/3*u**2 - 1/3*u**5 - 1/3*u - s*u**3 = 0?
-1, 0
Suppose 6*f - 69 - 3 = 0. Let r be (-2)/(-8) - -2*f/160. Factor r*c + 2/5*c**4 + 0 + 7/5*c**2 + 7/5*c**3.
c*(c + 1)*(c + 2)*(2*c + 1)/5
Suppose -s = -6*s + 2*y + 9, -s + 5*y = 12. Factor f**s - 25*f + 0*f**3 + 21*f.
f*(f - 2)*(f + 2)
Let d be ((-2)/51)/((-10563)/(-129969)). Let q = -6/503 - d. Factor -2/17*a**2 + 0*a + q.
-2*(a - 2)*(a + 2)/17
Factor 2/11*d**3 + 108/11*d**2 + 11664/11 + 1944/11*d.
2*(d + 18)**3/11
Let m(l) be the third derivative of -l**8/33600 + l**7/1400 - l**6/240 - l**5/24 + 7*l**4/8 + 31*l**2. Let o(q) be the second derivative of m(q). Factor o(i).
-(i - 5)**2*(i + 1)/5
Let s(q) be the third derivative of -1/420*q**6 + 2/21*q**3 + 11*q**2 - 1/735*q**7 + 0 + 0*q + 5/84*q**4 + 1/70*q**5. Factor s(m).
-2*(m - 2)*(m + 1)**3/7
Let l(q) be the third derivative of q**5/12 - 55*q**4/12 + 35*q**3/2 + 138*q**2. Factor l(v).
5*(v - 21)*(v - 1)
Let b(h) be the third derivative of 0 - 1/30*h**6 - h**2 - 25/2*h**4 + h**5 + 250/3*h**3 + 0*h. Factor b(j).
-4*(j - 5)**3
Let k = 2800 + -2800. Factor k*v + 2/3*v**3 + 2/3*v**2 + 0.
2*v**2*(v + 1)/3
Let z(u) be the first derivative of 3*u**4/4 - u**3 - 63*u**2/2 + 135*u + 533. Solve z(y) = 0 for y.
-5, 3
Factor -35152/9 - 52/3*i**2 + 1352/3*i + 2/9*i**3.
2*(i - 26)**3/9
Let v(s) be the third derivative of -s**5/60 + 4*s**4/3 - 172*s**2. Factor v(p).
-p*(p - 32)
Let b = 116 - 113. Factor -8 + 4*q - 3*q**b - 15*q**2 - 4 - 28*q.
-3*(q + 1)*(q + 2)**2
Suppose 4*a + 2*y - 3*y - 11 = 0, -5*a + 14 = -y. Solve 2 - a*i**2 - 33*i**3 - 6*i - 2 + 36*i**3 = 0.
-1, 0, 2
Factor -8/5*p**2 + 0 + 44/5*p**4 - 36/5*p**3 + 0*p.
4*p**2*(p - 1)*(11*p + 2)/5
Let 1/7*t**2 - 6/7*t - 16/7 = 0. Calculate t.
-2, 8
Let o(f) = -4*f**3 - 36*f**2 - 28*f + 4. Let v(i) = i**2 - 1. Let b(c) = -o(c) - 4*v(c). Factor b(h).
4*h*(h + 1)*(h + 7)
Factor 316/7*k - 26/7*k**2 - 48/7.
-2*(k - 12)*(13*k - 2)/7
Factor -2*z**2 - z**2 - 44*z**3 - 94*z**4 + 3*z**5 + 5*z**2 - 51*z**5.
-2*z**2*(z + 1)**2*(24*z - 1)
Suppose 0 = -34*g + 39*g - 3840. Factor 52*p**4 - 2112*p**3 + 492*p**4 - g*p - 60*p**4 + 2656*p**2 + 64.
4*(p - 2)**2*(11*p - 2)**2
Solve -140/3*w**2 - 44/3*w**3 - 4/3*w**4 - 100/3*w + 0 = 0 for w.
-5, -1