2 - 4*f - 2. Let q be m(-3). Find s, given that -27*s**2 + 3*s + q*s**2 - 4*s**5 + s + 8*s**4 = 0.
-1, 0, 1
Let k(i) be the first derivative of -2*i**3/15 - i**2 + 12*i/5 + 121. What is c in k(c) = 0?
-6, 1
Let n(w) = w**3 + w**2 - w - 1. Let t be n(1). Suppose 4/3*c**4 + 2/3*c**3 + 2/3*c**5 + 0 + 0*c**2 + t*c = 0. What is c?
-1, 0
Let b(y) = 21*y + 10. Let g be b(3). Let v = g + -71. Factor -1/3*n - 2/3*n**v + 0 - 1/3*n**3.
-n*(n + 1)**2/3
Let t = 0 + 0. Factor 6*u**2 - 233*u - 2*u**3 + t - 6 + 235*u.
-2*(u - 3)*(u - 1)*(u + 1)
Let l(f) be the first derivative of -7*f - 2/15*f**3 + 1/30*f**4 + 6 + 0*f**2. Let u(d) be the first derivative of l(d). Factor u(t).
2*t*(t - 2)/5
Find u such that 17961 + 36*u**4 + 456*u**3 - 51*u - 405*u + 1408*u**2 - 19405 = 0.
-19/3, -1, 1
Let b(y) be the third derivative of y**6/100 + 7*y**5/100 - y**4/20 - 7*y**3/10 - 3*y**2 - 4*y. Find w, given that b(w) = 0.
-7/2, -1, 1
Suppose 0 + 15/2*s**5 + 8*s**4 - 1/2*s**3 + 0*s - s**2 = 0. What is s?
-1, -2/5, 0, 1/3
Let r(q) = -86*q + 863. Let z be r(10). Find c such that 0*c + 3/2*c**4 + 0 + z*c**2 + 9/2*c**3 = 0.
-2, -1, 0
Let y be (-1)/(-2)*(1416/(-72) - -21). Factor y*o**2 + 0 - 1/3*o**4 + 1/3*o**3 + 0*o.
-o**2*(o - 2)*(o + 1)/3
Let p(k) be the first derivative of 2/9*k**2 + 1/9*k**6 + 12 + 2/3*k**3 + 5/6*k**4 + 22/45*k**5 + 0*k. Factor p(d).
2*d*(d + 1)**3*(3*d + 2)/9
Let c(h) be the first derivative of 2*h**3/3 + 12*h**2 - 70. Solve c(v) = 0.
-12, 0
Let r(v) be the third derivative of -v**5/90 + 5*v**4/36 - 4*v**3/9 - 16*v**2 + 3*v. Solve r(p) = 0 for p.
1, 4
Let n(g) = -9*g**3 - 9*g**2 - g + 4. Let a(v) = 14*v**2 - 4 + 7 + 14*v**3 + 2*v - 9. Let c = -12 - -7. Let d(q) = c*a(q) - 8*n(q). Find k, given that d(k) = 0.
-1, 1
Let a(u) be the third derivative of u**5/150 - u**4/10 - 7*u**3/15 - 24*u**2. Let a(d) = 0. Calculate d.
-1, 7
Factor 28/3*r + 1/9*r**2 + 196.
(r + 42)**2/9
Let k(y) = -7*y**3 + 15*y**2 + 5*y - 17. Let h(q) = 15*q**3 - 30*q**2 - 10*q + 35. Let g = 40 - 35. Let f(v) = g*k(v) + 2*h(v). Solve f(j) = 0 for j.
-1, 1, 3
Let v(w) = w**3 + 9*w**2 - 2*w - 13. Let y(o) = -o**2 + 20*o - 28. Let a be y(19). Let l be v(a). Factor 2*g + 2*g**5 - 2*g + 0*g**l + 2*g**3 + 4*g**4.
2*g**3*(g + 1)**2
Let b = 0 + 2. Suppose -j + 7 = 3*x - 5, -3*x + 2*j + 3 = 0. Solve -i**2 - i**2 - x*i**4 + b*i**2 = 0 for i.
0
Determine o, given that 406*o + 5339 - 134*o + 4*o**2 - 715 = 0.
-34
Let w = -2284/65 - -176/5. Let j(r) be the second derivative of -1/65*r**6 - 7/78*r**4 + w*r**5 + 2/39*r**3 + 3*r + 0 + 0*r**2. Suppose j(l) = 0. What is l?
0, 2/3, 1
Let s be (-4 - (-40)/15)/(-1)*3. Let f(m) be the second derivative of 0 + 2*m - 1/36*m**3 + 0*m**2 + 1/72*m**s. Factor f(l).
l*(l - 1)/6
Let x(k) be the second derivative of k**7/4620 + k**6/1980 + 10*k**3/3 - 16*k. Let l(z) be the second derivative of x(z). Factor l(a).
2*a**2*(a + 1)/11
Let q(a) be the second derivative of a**4/60 + 26*a**3/15 + 338*a**2/5 - 21*a + 2. Determine r so that q(r) = 0.
-26
Let z(f) be the second derivative of -f**4/21 + 80*f**3/7 - 7200*f**2/7 - 172*f. Factor z(y).
-4*(y - 60)**2/7
Let j(u) be the third derivative of -u**7/1120 - 7*u**6/480 - 3*u**5/32 - 9*u**4/32 + u**3 + 10*u**2. Let z(l) be the first derivative of j(l). Factor z(v).
-3*(v + 1)*(v + 3)**2/4
Let q(i) be the third derivative of -i**5/270 + i**4/108 + 50*i**2. Let q(f) = 0. What is f?
0, 1
Suppose 2/9*c**2 - 26/9*c + 8/3 = 0. Calculate c.
1, 12
Let q(j) be the third derivative of -2/3*j**3 + 0*j + 8*j**2 - 1/60*j**5 - 5/24*j**4 + 0. Suppose q(f) = 0. What is f?
-4, -1
Let n(p) be the second derivative of p**4/6 - 4*p**3/3 - 12*p**2 - 2*p + 37. Solve n(c) = 0 for c.
-2, 6
Suppose -2*b + 3*b = 14. Let x be (60/b - 4)/((-3)/(-21)). Factor -3/4*d**x + 1/2*d + 1/4*d**3 + 0.
d*(d - 2)*(d - 1)/4
Let y(q) = q**3 + 4*q**2 + 3*q. Let z be y(-3). Suppose 2*k = 5*d + k - 10, 4*d = k + 8. Factor -5 + 3*n**d + n + 5*n - 4 + z*n.
3*(n - 1)*(n + 3)
Suppose 0 = 2*f - 6*f - 32. Let w(u) = -u**2 - 5*u + 27. Let v be w(f). Factor -2*i**4 + 0 + 0*i**2 - 4/3*i**v + 0*i.
-2*i**3*(3*i + 2)/3
Let o(c) be the third derivative of c**5/5 + 125*c**4/6 + 164*c**3/3 + 205*c**2. Factor o(x).
4*(x + 41)*(3*x + 2)
Suppose 0 + 2*y**2 + 34/3*y**4 + 0*y - 8/3*y**5 - 32/3*y**3 = 0. Calculate y.
0, 1/4, 1, 3
Find q, given that 1/4*q**2 - 15/4*q + 27/2 = 0.
6, 9
Let x(g) = 6*g**2 - 5*g - 2. Let f(p) = 35*p**2 - 30*p - 12. Let c(t) = -6*f(t) + 34*x(t). Solve c(b) = 0 for b.
-1/3, 2
Let w(j) be the second derivative of 0*j**4 + 1/8*j**2 - 7*j - 1/40*j**5 + 0 + 1/12*j**3 - 1/120*j**6. Solve w(u) = 0 for u.
-1, 1
Let q(b) be the second derivative of -b**4/90 + 2*b**3/3 - 27*b**2/5 - 162*b. Factor q(m).
-2*(m - 27)*(m - 3)/15
Factor -2*k - 30 + 1/2*k**2.
(k - 10)*(k + 6)/2
Let a(q) = q**2 + 16*q + 15. Let c be a(-16). Solve 10*h**2 + 6*h**2 + 3*h**4 - 9*h + 5*h**2 - c*h**3 = 0 for h.
0, 1, 3
Let c(y) be the third derivative of 12*y - 1/8*y**6 + 1/10*y**5 - 2*y**2 - 1/112*y**8 + 0*y**3 + 0*y**4 + 0 + 2/35*y**7. Factor c(v).
-3*v**2*(v - 2)*(v - 1)**2
Let m be 38/152 - 15/(-4). Find a, given that -4*a**2 - a**3 - a + m + 4*a - 2*a = 0.
-4, -1, 1
Suppose 3*k = -l + 3, -4*l = -10*k + 5*k + 22. Suppose 0 = 7*c + 4*c. Factor 0*a + 0*a**3 + 0*a**k - 1/2*a**4 + c.
-a**4/2
Let h = 1071876358/165 + -6496268. Let u = 530/11 + h. Factor u*j - 2/15*j**2 - 8/15.
-2*(j - 2)**2/15
Let s(c) = -7*c**2 + 184*c - 4227. Let o(j) = 4*j**2 - 92*j + 2113. Let f(l) = -10*o(l) - 6*s(l). Factor f(i).
2*(i - 46)**2
Let p = 26 + -24. Suppose -116 - q**2 + 2*q**p + 116 + 2*q = 0. Calculate q.
-2, 0
Let c(x) be the first derivative of -3*x**5/10 - 11*x**4/4 - 20*x**3/3 - 13*x**2/2 - 5*x/2 + 7. Find i, given that c(i) = 0.
-5, -1, -1/3
Suppose 4*d - 21 = -5*i + d, 4*i = 5*d + 2. Suppose r = -i*r + 8. Determine n, given that 2 + 2*n**r + 4*n + 1 - n**2 = 0.
-3, -1
Let a(p) = -p**3 + 7*p**2 - 10*p + 7. Let w be a(4). Factor -6*c**2 - 12*c**2 + w*c - c**3 + 4*c**3.
3*c*(c - 5)*(c - 1)
Factor 72/11*c**3 - 20/11*c**4 + 2/11*c**5 + 0 - 108/11*c**2 + 54/11*c.
2*c*(c - 3)**3*(c - 1)/11
Let t(r) = -r**2 - 25*r + 118. Let d be t(4). Determine z, given that 1/8*z**d + 1/4 + 3/8*z = 0.
-2, -1
Determine q, given that 360*q + q**3 + 331 + 3*q**3 + 257*q**2 + q**3 - 152*q**2 + 9 = 0.
-17, -2
Suppose 1/7*j**2 + 19/7*j - 20/7 = 0. Calculate j.
-20, 1
Factor -24/7 - 4/7*y + 4/7*y**2.
4*(y - 3)*(y + 2)/7
Let k(u) be the second derivative of 81*u**8/2240 + 3*u**7/70 + u**6/60 - 2*u**4/3 + u. Let m(f) be the third derivative of k(f). Factor m(c).
3*c*(9*c + 2)**2
Let i(t) = -t**4 + 69*t**3 - 317*t**2 - 75*t + 327. Let p(a) = 68*a**3 - 316*a**2 - 76*a + 328. Let o(z) = 4*i(z) - 3*p(z). Factor o(g).
-4*(g - 9)**2*(g - 1)*(g + 1)
Suppose 3*g = -4*m + 14, -10*g + 4 = -3*m - 5*g. Let a(x) be the first derivative of -3*x**m - 1/6*x**4 + 4 + 4/3*x**3 + 0*x. Factor a(o).
-2*o*(o - 3)**2/3
Let z = -18447/31 - -595. Let w = z + 84/341. Suppose 8/11*q**3 + w*q**4 - 8/11 + 6/11*q**2 - 8/11*q = 0. Calculate q.
-2, -1, 1
Solve 23/4*u**2 + 4*u + 5/2*u**3 + 3/4 = 0.
-1, -3/10
Solve -218*n + 5*n**3 + 225*n**2 + 218*n = 0 for n.
-45, 0
Factor -i**4 - 96*i**2 + 98*i**3 + 7*i**4 - 9*i**4 + i**4.
-2*i**2*(i - 48)*(i - 1)
Let l(s) be the second derivative of -s**6/150 + s**5/75 + s**4/15 + 9*s**2/2 - 9*s. Let y(k) be the first derivative of l(k). Determine x so that y(x) = 0.
-1, 0, 2
Suppose -2*y - 26 = -68. Suppose -b = 5, -2*b = -2*o - 7*b - y. Suppose 0 - 1/3*h**4 + 5/3*h**3 - 7/3*h**o + h = 0. What is h?
0, 1, 3
Suppose 124*r - 46*r = 390. Factor 0 + 0*q + 2/7*q**r - 2/7*q**2 + 2/7*q**4 - 2/7*q**3.
2*q**2*(q - 1)*(q + 1)**2/7
Suppose 5*q + 21 = 2*o - 0*q, -5*o + 2*q = -84. Let k(h) = -h**3 + 19*h**2 - 20*h + 40. Let t be k(o). Factor 1/5*r**3 + 3/5*r**2 - 2/5 - 1/5*r - 1/5*r**t.
-(r - 2)*(r - 1)*(r + 1)**2/5
Let w(i) be the first derivative of 2/13*i + 2/39*i**3 - 2/13*i**2 - 11. Factor w(r).
2*(r - 1)**2/13
Let h(q) be the third derivative of -21*q**2 + 0 + 0*q**3 - 1/450*q**5 + 0*q + 1/900*q**6 + 0*q**4. Determine x so that h(x) = 0.
0, 1
Let o(u) be the third derivative of 3*u**2 - 1/360*u**6 + 1/24*u**4 - 1/90*u**5 - 3 + 0*u + 0*u**3. Factor o(i).
-i*(i - 1)*(i + 3)/3
Let k(c) be the first derivative of 6*c**6 + 552*c**5/5 + 712*c**4 + 5