3*f**2/2 - 9*f. Let b(v) be the first derivative of k(v). What is y in b(y) = 0?
-1, 1
Suppose -3 - 2 = -w. Let t(m) be the second derivative of 0*m**2 + 0 + 3/4*m**4 + 3/10*m**5 + 1/2*m**3 + w*m. Suppose t(i) = 0. What is i?
-1, -1/2, 0
Determine u so that -16/3*u**2 + 4/3*u + 4/3*u**3 + 8 = 0.
-1, 2, 3
Let s(x) be the first derivative of -x**6/10 + 66*x**5/25 - 171*x**4/20 - 4*x**3/5 + 114*x**2/5 + 190. What is y in s(y) = 0?
-1, 0, 2, 19
Let n(c) be the first derivative of -21*c**4/20 + 54*c**3/5 - 102*c**2/5 - 72*c/5 - 106. What is r in n(r) = 0?
-2/7, 2, 6
Determine y so that -1/4*y**3 - 3/4*y**2 + 0*y + 0 = 0.
-3, 0
Let x(t) = 14*t**2 - 224*t + 226. Let u(w) = 5*w**2 - 75*w + 76. Let v(k) = -8*u(k) + 3*x(k). Factor v(n).
2*(n - 35)*(n - 1)
Let w(d) be the second derivative of d**4/4 + 35*d**3/2 + 101*d. Suppose w(p) = 0. What is p?
-35, 0
Let k(j) be the third derivative of 0 - 1/126*j**7 + 1/72*j**6 + 0*j**3 - 34*j**2 + 0*j + 0*j**5 + 0*j**4. Determine i so that k(i) = 0.
0, 1
Let s = -5113/2 + 2558. Suppose 0*d + s*d**2 + 0 = 0. Calculate d.
0
Let y(k) be the third derivative of 0*k**3 - 1/945*k**7 + 1/54*k**4 + 1/270*k**5 + 0 + 7*k**2 - 1/270*k**6 + 0*k. Let y(x) = 0. Calculate x.
-2, -1, 0, 1
Factor 8*j**2 - 13*j**2 - j**3 + 10*j**2 - 15*j + 39*j.
-j*(j - 8)*(j + 3)
Let v be ((-2)/90*3)/((-12)/(-40)*-1). Find x such that 0 - 4/9*x + v*x**2 - 2/9*x**4 - 2/9*x**5 + 2/3*x**3 = 0.
-2, -1, 0, 1
Let z(a) be the second derivative of -a**8/7560 - a**7/3780 + a**3 + 11*a. Let i(u) be the second derivative of z(u). Suppose i(p) = 0. Calculate p.
-1, 0
Let d(v) = -171*v**2 - 7*v + 36 + 164*v**2 - 6. Let i(y) = -120*y**2 - 120*y + 510. Let h(p) = -35*d(p) + 2*i(p). Factor h(q).
5*(q - 2)*(q + 3)
Let m(h) = 17*h**3 - 7*h**2 - h + 9. Let d = 59 - 63. Let x(s) = -4*s**3 + 2*s**2 - 2. Let r(v) = d*m(v) - 18*x(v). What is o in r(o) = 0?
0, 1
Let b(z) be the second derivative of 1/18*z**4 + 1/60*z**5 + 0 - 1/18*z**3 - 1/45*z**6 + 0*z**2 + 23*z. Determine a, given that b(a) = 0.
-1, 0, 1/2, 1
Let h be 0 - -1 - 3/3. Suppose 4*q = -h*q + 8. Determine m, given that -13*m**3 - q + 2 + 10*m**3 = 0.
0
Let z = 6/13 - 527/1170. Let x(v) be the second derivative of -1/27*v**3 + z*v**5 + 1/54*v**4 + 3*v + 0*v**2 + 0 - 1/135*v**6. Factor x(q).
-2*q*(q - 1)**2*(q + 1)/9
Suppose -152*b**4 - 152*b**2 + 150*b**4 + 42*b**2 - 18*b**2 + 24*b**3 + 8*b**3 = 0. Calculate b.
0, 8
Suppose 0 = -3*m - 6*m + 855. Factor 305*h - 33*h - 2 - m*h**2 - 14 - 1061*h**2.
-4*(17*h - 2)**2
Solve 3*p**2 - 22 + 10 + 51*p - 42 = 0.
-18, 1
Let c = 44272/7 + -6324. Suppose -2/7*o**5 + 0*o**3 - 4/7*o**4 + c*o**2 + 2/7*o + 0 = 0. Calculate o.
-1, 0, 1
Suppose 5*c - 1 = 3*w + 14, -c - 5*w = -3. Let g(a) be the first derivative of -7 - 1/2*a + 1/6*a**c + 2/3*a**2. Factor g(i).
(i + 3)*(3*i - 1)/6
Let l(a) be the second derivative of 0 - 6/5*a**3 + 54/5*a**2 + 1/20*a**4 + 15*a. Factor l(c).
3*(c - 6)**2/5
Let j(k) be the second derivative of -4/5*k**5 - 4*k**2 + 2*k**3 + 2/21*k**7 + 2/3*k**4 - 18*k + 0 + 0*k**6. Suppose j(s) = 0. Calculate s.
-2, -1, 1
Let m = 39 + -33. Suppose 12 = m*k - 3*k. Factor 0 + 2/3*n**k + 0*n**3 - 2/3*n**2 + 0*n.
2*n**2*(n - 1)*(n + 1)/3
Let h(k) be the third derivative of -49/9*k**3 - 1/90*k**5 + 0*k + 17*k**2 + 7/18*k**4 + 0. Find g such that h(g) = 0.
7
Let u(a) be the third derivative of a**6/30 + 7*a**5/45 - 7*a**4/18 - 2*a**3/3 + 2*a**2 - 43*a. Factor u(c).
4*(c - 1)*(c + 3)*(3*c + 1)/3
Suppose 8*r + r - 12 = 3*r. Let -r*a - 2/5*a**2 - 12/5 = 0. Calculate a.
-3, -2
Let u = 24 + -28. Let i be (-66)/88 + (-3)/u. Determine d, given that 127*d + i + 3 + d**2 + 0*d**2 - 123*d = 0.
-3, -1
Let n(r) be the third derivative of 3*r**6/80 + 121*r**5/20 - 81*r**4/16 - 14*r**2 + 2. Solve n(p) = 0.
-81, 0, 1/3
Let f(b) be the second derivative of -b**5/200 - b**4/40 + 2*b - 28. Factor f(z).
-z**2*(z + 3)/10
Determine k so that -3/2*k**2 + 105*k - 207/2 = 0.
1, 69
Let m(x) be the first derivative of -3 + 0*x + 1/45*x**5 + 0*x**3 - 1/2*x**2 - 1/18*x**4. Let d(p) be the second derivative of m(p). Factor d(o).
4*o*(o - 1)/3
Suppose 0 = 7*w - 142 + 44. Solve -9*p**2 + 4*p**3 - 12*p - 5*p**2 + 8 + w*p**2 = 0.
-2, 1
Suppose 3*m = -15, 2*m - 4 = -3*b - 2*m. Let q be (8/6 + -1)/(b/12). Factor 1 + q*j**2 - 3/2*j.
(j - 2)*(j - 1)/2
Let i(h) be the third derivative of -h**5/150 + 3*h**4/10 - 27*h**3/5 + 14*h**2 + 3*h. Find s such that i(s) = 0.
9
Let g(p) be the first derivative of p**3/12 + 37*p**2/8 + 9*p - 12. Find s, given that g(s) = 0.
-36, -1
Let l(t) be the first derivative of t**4/12 + 103*t**3/9 - 209*t**2/6 + 35*t + 594. Factor l(b).
(b - 1)**2*(b + 105)/3
Let h(b) be the third derivative of -5*b**8/504 - 2*b**7/135 + b**6/180 + b**5/135 + 76*b**2. Suppose h(c) = 0. Calculate c.
-1, -1/3, 0, 2/5
Let z be (2 - 11 - (1 + 2) - -7)*-41. Factor 320 - 880*x - 25/2*x**3 + z*x**2.
-5*(x - 8)**2*(5*x - 2)/2
Factor 4/3*s**3 + 4/3*s**2 + 0 - 8/3*s.
4*s*(s - 1)*(s + 2)/3
Let n(b) = 10*b**3 - 160*b**2 - 230*b - 50. Let l(r) = -8*r**3 + 158*r**2 + 230*r + 49. Let x(y) = 2*l(y) + 3*n(y). Factor x(m).
2*(m - 13)*(m + 1)*(7*m + 2)
Let b(o) = 7 - 4*o + 11*o - 3*o. Let h be b(9). Factor -10*c**2 - h*c + 27*c - c**3 - c**3 - 8.
-2*(c + 1)*(c + 2)**2
Suppose 3*y + 3*g = 9, 0 = 5*y - y - g - 7. What is j in 1/2*j - 5/8 + 1/8*j**y = 0?
-5, 1
Let w = -1 - 0. Let v(b) = -9*b**3 + 3*b**2 + 18*b + 12. Let s be (-15 + 17)/((-1)/6). Let z(r) = r**3 - r**2 - r - 1. Let h(l) = s*z(l) + w*v(l). Factor h(n).
-3*n*(n - 2)*(n - 1)
Let u(k) be the first derivative of k**3/8 + 3*k**2/2 + 9*k/2 - 241. What is r in u(r) = 0?
-6, -2
Let f(l) = l**2 - 1. Let g be f(-3). Factor -16*v**2 - 13*v**4 - g*v + 20*v**2 + 32*v**2 - 12*v**3 - 3*v**4.
-4*v*(v - 1)*(v + 2)*(4*v - 1)
Let z = 129 + -125. Suppose -7*q + 37 = 23. Factor 0 + 2/13*f**5 + 0*f**q + 0*f**z - 2/13*f**3 + 0*f.
2*f**3*(f - 1)*(f + 1)/13
Suppose 5*c = -2*p + 1 + 31, 2*c = -5*p - 4. Let s be (c/(-10))/((-8)/20). Factor -1/2*o**s - o + 1/2*o**3 + 0.
o*(o - 2)*(o + 1)/2
Let v(z) be the second derivative of z**7/168 - 19*z**6/120 + 99*z**5/80 - 27*z**4/16 + 348*z. Factor v(a).
a**2*(a - 9)**2*(a - 1)/4
Let v(o) = -3*o**3 + o**2 - 18*o - 19. Let m be v(-1). Determine k so that 1/5*k**m - 1/5*k**4 + 0 + 0*k + 2/5*k**2 = 0.
-1, 0, 2
Let j(f) be the third derivative of -f**7/42 - f**6/12 + 2*f**5/3 - 7*f**2. Factor j(y).
-5*y**2*(y - 2)*(y + 4)
Let h(y) = y**5 + 6*y**4 - y**3 - 13*y**2 + 7. Let m(r) = -2*r**4 + 4*r**2 - 2. Let a(u) = -4*h(u) - 14*m(u). Factor a(v).
-4*v**2*(v - 1)**2*(v + 1)
Let a(s) be the third derivative of s**8/6720 - s**7/1260 - 7*s**6/720 - s**5/30 + s**4/3 - 14*s**2. Let j(t) be the second derivative of a(t). Factor j(y).
(y - 4)*(y + 1)**2
Suppose 0 = -3*p + k + k + 22, 0 = -5*p - 4*k + 22. Let l(z) be the first derivative of -15*z**3 + 25/2*z**5 + p - 25/8*z**4 - 4*z + 13*z**2. Factor l(u).
(u + 1)*(5*u - 2)**3/2
Let a = -39048 + 78099/2. Suppose 3/4*h + 3/4*h**2 - a = 0. Calculate h.
-2, 1
Suppose -10*p + 6 - 288*p**2 - 72*p**4 + 68*p**2 + 290*p**3 + 6 = 0. Calculate p.
-2/9, 1/4, 1, 3
Let s(z) be the third derivative of z**9/30240 + z**8/7200 + z**7/6300 + z**5/10 + 13*z**2. Let q(i) be the third derivative of s(i). Solve q(g) = 0.
-1, -2/5, 0
Suppose 7*q - 10*q - 2 = 2*u, 0 = 5*u - 4*q - 41. Let c be (-10 - -5) + 26/u. Factor -2/5*i**2 + 2/5 + c*i - 1/5*i**3.
-(i - 1)*(i + 1)*(i + 2)/5
Let w(b) be the first derivative of -7*b**4/8 + 12*b**3 + 253*b**2/4 - 39*b + 394. Factor w(y).
-(y - 13)*(y + 3)*(7*y - 2)/2
Factor 8/5*j**3 + 22/5*j**2 + 0 + 12/5*j.
2*j*(j + 2)*(4*j + 3)/5
Let k(x) = -2*x**3 - 3*x**2 + 18*x - 10. Let j(f) = f**3 - 2*f - 2. Let a(n) = -j(n) - k(n). Factor a(u).
(u - 2)*(u - 1)*(u + 6)
Factor 12*a**2 + 2*a**4 + 2464*a**3 + a**4 - 2452*a**3.
3*a**2*(a + 2)**2
Suppose -2*n - 3*f + 258 = f, -2*n - 5*f + 256 = 0. Suppose -s + n = 131. Factor 8/3 + 6*i**s + 8*i + 4/3*i**3.
2*(i + 2)**2*(2*i + 1)/3
Let n be ((-8 - -8)/6)/(-2 - 3). Let o(a) be the second derivative of 6/5*a**5 + n*a**2 + 0 + 0*a**3 + 3*a**4 + 5*a + 2/15*a**6. Factor o(f).
4*f**2*(f + 3)**2
Suppose -383 = -4*m + 109. Let z = -121 + m. What is c in -32/5 - 16/5*c - 2/5*c**z = 0?
-4
Let h be (4 - 8)*1/1. Let g(t) = -t**3 + t**2 - 1. Let p(w) = 5*w**3 - 11*w**2 + 