1*s + 77. What is v in 69/2*v**2 + 27/4*v**s - 3/4*v**5 - 45/2*v**3 + 27/4 - 99/4*v = 0?
1, 3
Let v(u) be the first derivative of u**5/30 + 15*u**4/4 + 1933*u**3/18 - 345*u**2 + 1058*u/3 - 321. Solve v(s) = 0.
-46, 1
Let s be 6/(-12) - 63/12. Let i = s + 29/4. Solve 1/4*x**2 + i*x + 9/4 = 0.
-3
Let k = 80 + -81. Let a be (-5 + 5)/(k - 0). Let -3/7*i**3 + 0 + 3/7*i**2 + 3/7*i**5 - 3/7*i**4 + a*i = 0. What is i?
-1, 0, 1
Suppose -4*n - 138 = -2*z, 4*n + 150 = 2*z - 4*z. Let m be (-3)/21 - n/56. Factor 0*a + 0*a**3 - m*a**5 + 0*a**2 + 0 + 1/2*a**4.
-a**4*(a - 1)/2
Let t(z) be the first derivative of z**6/420 + z**5/210 - z**4/42 + 31*z**2/2 + 26. Let l(s) be the second derivative of t(s). Factor l(g).
2*g*(g - 1)*(g + 2)/7
Let k be 4/3*(5/(-2) + 4). Let t(u) be the first derivative of -1/12*u**3 + 1/8*u**k + 1/4*u - 1/16*u**4 + 2. Find g such that t(g) = 0.
-1, 1
Let z = 223/12 - 55/3. Let l(y) be the first derivative of 2 - z*y**2 + 0*y - 1/8*y**4 - 1/3*y**3. Let l(n) = 0. What is n?
-1, 0
Let n(a) = -a**2 - 16*a + 4. Let j be n(-15). Solve 0*q - 8*q - 17*q**3 + 10*q**3 - 4 + j*q**2 = 0.
-2/7, 1, 2
Let s be ((-2)/(-8) - 3/16)/1. Let m(p) be the first derivative of 1/4*p + 3 + 1/8*p**2 - s*p**4 - 1/12*p**3. Let m(n) = 0. What is n?
-1, 1
Suppose -72*t + 44*t**2 + 32*t**3 - 80 + 43 - 4*t**4 + 37 = 0. What is t?
-2, 0, 1, 9
Let v(q) be the third derivative of q**5/20 + 9*q**4/8 + 7*q**3 + 58*q**2. Let v(n) = 0. Calculate n.
-7, -2
Let h be ((-6)/(-21))/(-5 + (-504)/(-98)). Determine f so that -3/2*f**h - 9/2*f - 3 = 0.
-2, -1
Let h(m) = 51*m**2 + 66*m - 39. Suppose 0 = -0*o - 8*o + 16. Let l(x) = -4*x**2 - 5*x + 3. Let d(k) = o*h(k) + 27*l(k). Solve d(y) = 0 for y.
-1, 1/2
Factor -40/3 + 172*f - 546*f**2 - 169/3*f**3.
-(f + 10)*(13*f - 2)**2/3
Let m = -32 + 34. Factor 2388 + 3*a**m + 6*a - 2388.
3*a*(a + 2)
Let i(h) be the third derivative of -h**7/105 - h**6/12 - 7*h**5/30 - h**4/4 - 79*h**2. Find d such that i(d) = 0.
-3, -1, 0
Let n(g) = 6*g + 18. Let y be n(20). Suppose p = -5*i + 2*p + y, i - 3*p - 22 = 0. Find s such that 22 - i*s - 31*s**3 + 11*s**3 + 4*s**4 + 36*s**2 - 14 = 0.
1, 2
Factor -42*g**2 + 83*g + 56*g**2 - 98 + 2*g**3 + 43*g - 44*g**2.
2*(g - 7)**2*(g - 1)
Let u = 2 - 5. Let i(n) = 14*n**2 - 6*n + 8. Let r(f) = 8 - 5*f**2 + 1 + 2*f - 8 - 5 + 1. Let z(j) = u*i(j) - 8*r(j). Factor z(v).
-2*v*(v - 1)
Let w be 21/(-3) - 4746/(-672). Let h(a) be the first derivative of 3/2*a**2 + w*a**4 - 12 + 1/2*a**3 + 2*a. Solve h(s) = 0.
-2
Let n(b) be the first derivative of -4*b**3/9 + 20*b**2/3 + 32*b - 105. Solve n(s) = 0 for s.
-2, 12
Let s(l) be the second derivative of -5/12*l**4 + 0*l**2 - 15*l + 0 - 5/3*l**3. What is t in s(t) = 0?
-2, 0
Let m = 4 - -105. Let j = m - 105. Solve -6/5*u + 0 + 6/5*u**3 + 3/5*u**2 - 3/5*u**j = 0.
-1, 0, 1, 2
Let l(s) be the third derivative of s**8/80640 - s**7/10080 + s**6/2880 - s**5/5 + 11*s**2. Let c(v) be the third derivative of l(v). Factor c(p).
(p - 1)**2/4
What is f in 0 + 0*f + 2/7*f**4 + 0*f**2 - 1/7*f**5 - 1/7*f**3 = 0?
0, 1
Suppose 0 = -22*m + 1838 - 1816. Factor -m + 5/3*n**2 + 2/3*n.
(n + 1)*(5*n - 3)/3
Let o(u) be the first derivative of -u**3/7 + 39*u**2/14 - 36*u/7 + 125. Determine z so that o(z) = 0.
1, 12
Let v = 19127/20 + -3819/4. Factor v*y + 0 - 2/5*y**4 + 12/5*y**3 - 18/5*y**2.
-2*y*(y - 4)*(y - 1)**2/5
Suppose 5*j - 5 + 0*j - j**2 + 6 + 5 = 0. What is j?
-1, 6
Let r(k) be the first derivative of -3*k**5/140 - 5*k**4/28 - 26*k - 51. Let y(z) be the first derivative of r(z). Factor y(u).
-3*u**2*(u + 5)/7
Let h(d) = -245*d**3 - 55*d**2 + 405*d - 270. Let g(p) = -9*p**3 - 2*p**2 + 15*p - 10. Let i(y) = 55*g(y) - 2*h(y). Factor i(k).
-5*(k - 1)**2*(k + 2)
Let s be (9 + (-256)/24)*-3. Let w(n) be the third derivative of -1/240*n**6 - 1/24*n**4 + 0 + 0*n**3 + 5*n**2 + 1/40*n**s + 0*n. Determine f so that w(f) = 0.
0, 1, 2
Let c(d) = -d - 10. Let b be c(-10). Factor 16*a**2 + 14 - 20*a + b - 4*a**3 + 2 - 8.
-4*(a - 2)*(a - 1)**2
Let g be ((-1)/2)/(297/(-72) + 4). Let 8/13 + 72/13*z + 218/13*z**3 + 190/13*z**2 + 22/13*z**5 + 114/13*z**g = 0. What is z?
-2, -1, -2/11
Suppose 2*i = -3*m - 22 + 58, -5*i = -4*m + 71. Let c = 18 - m. Solve -2*t**3 + t**2 + 14*t**c + 5*t**5 - t**2 - 17*t**4 = 0.
-2/5, 0, 1
Let c(k) be the third derivative of 3/20*k**5 + 0 - 12*k**2 - 5/2*k**4 + 0*k + 6*k**3. Factor c(l).
3*(l - 6)*(3*l - 2)
Let z(s) be the second derivative of -4/21*s**3 + 0*s**2 + 0 - 4*s + 1/21*s**4. Determine w, given that z(w) = 0.
0, 2
Let c(y) be the third derivative of -y**5/180 + 23*y**4/18 - 1058*y**3/9 + 361*y**2. Suppose c(u) = 0. Calculate u.
46
Let p(h) be the third derivative of -7*h**6/40 + 23*h**5/20 + 11*h**4/4 - 4*h**3 - 438*h**2. Let p(r) = 0. What is r?
-1, 2/7, 4
Let k be (-6 - 150/(-24)) + (-59)/(-4). Suppose 66*f**4 + 25*f**3 - 3*f**2 + 14*f**4 + 8*f**2 + 45*f**5 - k*f**2 = 0. What is f?
-1, 0, 2/9
Let v(n) be the second derivative of 1/15*n**6 - 20*n + 0 - 3/10*n**5 + 0*n**3 - 1/189*n**7 + 0*n**2 + 1/2*n**4. What is j in v(j) = 0?
0, 3
Let f = 7794 - 350713/45. Let i = f - 2/45. Factor 0*j + 1/6*j**4 + i*j**3 + 0*j**2 + 0 - 1/6*j**5.
-j**3*(j - 2)*(j + 1)/6
Let f(l) be the second derivative of -l**7/42 - l**6/3 + 3*l**5/20 + 8*l**4/3 + 10*l**3/3 + 221*l. What is a in f(a) = 0?
-10, -1, 0, 2
Let c(u) = -9*u + 399. Let z be c(44). Factor v**z + 1/2*v + 0 + 1/4*v**4 + 5/4*v**2.
v*(v + 1)**2*(v + 2)/4
Let d(o) = o**2 - 18*o - 84. Let p be d(22). Let s(z) be the second derivative of -1/5*z**2 + 0 + 1/30*z**3 + p*z - 1/100*z**5 + 1/30*z**4. Factor s(g).
-(g - 2)*(g - 1)*(g + 1)/5
Let x(y) be the first derivative of 8/21*y**3 - 32/7*y + 1/7*y**4 - 8/7*y**2 - 4. Factor x(z).
4*(z - 2)*(z + 2)**2/7
Let d(n) be the third derivative of -n**5/240 + n**4/24 - n**2 + 92. Find w such that d(w) = 0.
0, 4
Let r(q) = 13*q**3 + 2*q**2 - 3*q + 2. Let k be r(1). Suppose -7*t - 14 = -k*t. Find p, given that p - 13/4*p**t + 1 + 5/4*p**3 = 0.
-2/5, 1, 2
Let h(y) be the second derivative of y**6/15 - y**5/4 - y**4 - y**3/6 + 2*y**2 + y - 50. Solve h(g) = 0.
-1, 1/2, 4
Let l(n) be the first derivative of -18 - 25/2*n**2 + 30*n - 5/3*n**3. Determine x so that l(x) = 0.
-6, 1
Suppose -7 - 7 = 7*d. Let b(u) = 6*u**3 + 14*u**2 + 8*u. Let z(s) = -13*s**3 - 29*s**2 - 16*s. Let t(h) = d*z(h) - 5*b(h). Solve t(q) = 0.
-2, -1, 0
Let g(r) be the second derivative of -5*r**4 - 394*r**3/3 - 52*r**2 + 19*r + 2. Determine i so that g(i) = 0.
-13, -2/15
Factor 4*l - 7*l**2 - l**3 - 7 + 4*l + 11 - 4*l**3.
-(l - 1)*(l + 2)*(5*l + 2)
Let q be (-17)/(-7)*60/510. Factor q*k - 4/7 + 2/7*k**2.
2*(k - 1)*(k + 2)/7
Let s(m) be the second derivative of -3*m**5/20 + 71*m**4/4 + 145*m**3/2 + 219*m**2/2 - 304*m. Factor s(n).
-3*(n - 73)*(n + 1)**2
Let f(m) be the first derivative of -2*m**3/15 + 4*m**2/5 - 8*m/5 + 87. Find z, given that f(z) = 0.
2
Let q(s) be the second derivative of -s**5/50 - 19*s**4/30 + 4*s**3/15 + 76*s**2/5 + 286*s. Factor q(b).
-2*(b - 2)*(b + 2)*(b + 19)/5
Factor 3/7*x**2 + 0 - 81/7*x.
3*x*(x - 27)/7
Let -9/2*a - 45 + 1/2*a**2 = 0. What is a?
-6, 15
Factor -3/4*d**4 + 147/8*d**3 - 153*d**2 + 456*d - 192.
-3*(d - 8)**3*(2*d - 1)/8
Factor -10/3*c - 5/3*c**2 + 40/3.
-5*(c - 2)*(c + 4)/3
Let r be 45/1*4/10. Suppose t - 3*m = 9 + 10, -t = -5*m - 27. Factor -2*n**2 - r + n - t*n - 6*n.
-2*(n + 3)**2
Let -23*z + 1164*z**3 - 21*z**2 - 14 - 1165*z**3 + 11*z**2 = 0. What is z?
-7, -2, -1
Factor 20000/13 + 400/13*z + 2/13*z**2.
2*(z + 100)**2/13
Factor -12/7 + v**2 - 1/7*v**3 - 4/7*v.
-(v - 6)*(v - 2)*(v + 1)/7
What is n in 5*n**2 + 20*n - 720 - 5*n**3 + 0*n**3 + 700 = 0?
-2, 1, 2
Let v(m) be the second derivative of -3/20*m**5 - 7/2*m**3 + 0 - 9/2*m**2 - 5/4*m**4 - 19*m. Solve v(q) = 0 for q.
-3, -1
Let i(z) = 2*z**2 - 14*z + 18. Let v(a) = a**2 - a + 1. Let o be (-21 - -22)/(0 + -1 + 0). Let q(l) = o*i(l) + 6*v(l). Suppose q(h) = 0. Calculate h.
-3, 1
Factor 1/4*u - 3/4*u**2 - 1/4*u**4 + 0 + 3/4*u**3.
-u*(u - 1)**3/4
Let t(w) be the first derivative of -w**5/15 + 2*w**3/3 - 27*w**2/2 - 34. Let p(s) be the second derivative of t(s). Determine d, given that p(d) = 0.
-1, 1
Let y(r) be the first derivative of r**9/21168 + r**8/5880 - r**7/840 + r**6/630 - 8*r**3/3 - 6. Let n(b) be the third derivative of y(b).