 4 - 8 + 48*i + 15*i**4 + 39*i**3 - 42*i**f - 120*i**3 - 3*i**2 = 0.
-1, 2/5, 1
Let r = -4440 + 22203/5. Suppose 0 - 12 = 3*q, -2*f + 2*q = -8. Let r*c + f*c**2 - 3/5*c**3 + 0 = 0. What is c?
-1, 0, 1
Factor -2/19*i**2 + 22/19 - 20/19*i.
-2*(i - 1)*(i + 11)/19
Let d be (3/21)/(11*3/99). Let a(o) be the first derivative of d*o**2 - 2 + 4/7*o + 2/21*o**3. Factor a(c).
2*(c + 1)*(c + 2)/7
Let j(f) be the first derivative of -10*f**2 + 5/2*f**4 + 37 + 20*f + f**5 - 5*f**3. What is i in j(i) = 0?
-2, 1
Let n(p) = -3*p**2 - 3*p + 8. Let v(t) = t**2 + 6*t - 6. Let m be v(-5). Let u = 9 + m. Let c(d) = -1. Let a(i) = u*c(i) - n(i). Find j such that a(j) = 0.
-2, 1
Let w be 3 + -2 + (-3)/9*-3. Factor 0 - w*t**2 - 28*t - 25*t + 24 + 51*t.
-2*(t - 3)*(t + 4)
Suppose 0 = 4*a - 20 + 12. Factor 0*d + 2*d - a*d - 2*d**2.
-2*d**2
Let n(p) = -52*p**2 - 75*p - 23. Let r(a) = 17*a**2 + 25*a + 8. Suppose -30 = 3*m - 9. Let c(j) = m*r(j) - 2*n(j). Let c(v) = 0. What is v?
-1, -2/3
Let i(j) be the second derivative of -j**7/252 - 4*j**6/45 - 47*j**5/60 - 10*j**4/3 - 25*j**3/4 + 2*j + 15. Factor i(m).
-m*(m + 3)**2*(m + 5)**2/6
Let p(l) be the second derivative of -l**5/40 + 7*l**4/24 + 5*l**3/12 - 75*l**2/4 - 15*l + 2. What is n in p(n) = 0?
-3, 5
Let f = 958/2193 + -23/43. Let w = f + 86/357. Factor -1/7*h**2 + 1/7*h**4 + 0 - w*h**3 + 1/7*h.
h*(h - 1)**2*(h + 1)/7
Let l(n) = -n**2 + 11*n - 21. Let h be l(8). Factor 5*v**3 - 9 + 9*v**2 + v**3 - 3*v - 2*v**h - v**3.
3*(v - 1)*(v + 1)*(v + 3)
Let i(b) = b**2 + 49*b + 22. Let k(s) = s**2 + 97*s + 42. Let f(y) = -9*i(y) + 4*k(y). Suppose f(d) = 0. What is d?
-10, -3/5
Let q = 29/126 - 1/126. Solve -q*c**4 + 0 - 2/3*c**3 - 2/3*c**2 - 2/9*c = 0 for c.
-1, 0
Let i(h) be the second derivative of -h**5/15 - h**4/12 + h**3/3 + 5*h**2/2 + 18*h. Let o(m) be the first derivative of i(m). Solve o(a) = 0 for a.
-1, 1/2
Let l be 137/274 + 6/4. Factor 1/3*j**5 - j**4 - 2/3*j + j**l + 0 + 1/3*j**3.
j*(j - 2)*(j - 1)**2*(j + 1)/3
Factor -10 + 5/2*n + 5/4*n**2.
5*(n - 2)*(n + 4)/4
Let t = 5053/12 + -421. Let k(i) be the second derivative of 0*i**2 + 5*i - 1/48*i**4 + 1/16*i**5 + 0 - 1/60*i**6 - t*i**3. Determine c, given that k(c) = 0.
-1/2, 0, 1, 2
Suppose -280*w + 283*w - 6 = 0. Factor 3/4*f**3 - 1/2 + 9/4*f - 5/2*f**w.
(f - 2)*(f - 1)*(3*f - 1)/4
Suppose -177*z = 232*z - 818. Suppose m**z - 1/4*m**4 - 3/4*m**3 + 0 + 0*m = 0. What is m?
-4, 0, 1
Let o be 211 - -6*6/9. Find b such that 128*b**4 + 94*b**4 + 120*b**2 - 35*b**5 - 20*b - o*b**3 - 72*b**4 = 0.
0, 2/7, 1, 2
Determine m so that 57/5*m + 24/5*m**2 - 3/5*m**3 + 6 = 0.
-1, 10
Let h(p) be the third derivative of 13*p**5/80 + 41*p**4/32 + 15*p**3/4 - 271*p**2 + 2*p. Factor h(c).
3*(c + 2)*(13*c + 15)/4
Suppose w + 0*w - 11 = 4*m, -5*w + 5*m = -40. Solve 6*q + 1 + 25*q**2 - 9*q - w*q = 0 for q.
1/5
Let c(p) be the first derivative of 2*p**5/5 - 9*p**4 + 78*p**3 - 324*p**2 + 648*p + 215. Let c(o) = 0. Calculate o.
3, 6
Let o(p) be the second derivative of 1/55*p**5 - 1/33*p**4 - 1/11*p**2 + 1/55*p**6 + 0 + 1/231*p**7 - 1/11*p**3 + 4*p. Factor o(c).
2*(c - 1)*(c + 1)**4/11
Suppose -4 = -38*v + 36*v. Factor 2*z + 5*z + 3*z**2 - 2*z**v.
z*(z + 7)
Suppose 20 = 5*u - 4*c, -u - 5*c = u + 25. Let v(d) be the second derivative of u - 4/9*d**3 + 1/9*d**4 + 7*d + 2/3*d**2. Find f, given that v(f) = 0.
1
Let c(d) = d**5 + 2*d**4 + 3*d**2 + 3*d - 3. Let b(t) = -3*t**5 - 4*t**4 - 7*t**2 - 7*t + 7. Let i(f) = 3*b(f) + 7*c(f). Find s such that i(s) = 0.
0, 1
Let a = 112 + -1006/9. Let m(k) be the third derivative of -3*k**2 + 0*k + 0 + 1/180*k**6 + a*k**3 - 1/36*k**4 - 1/45*k**5. Solve m(b) = 0.
-1, 1, 2
Factor 4*t**3 - 14/3*t**2 + 0 + 2/3*t.
2*t*(t - 1)*(6*t - 1)/3
Let i(y) be the third derivative of -y**7/1890 - y**6/270 + y**5/180 + y**4/12 - 25*y**2. Solve i(l) = 0.
-3, 0, 2
Let r = -144 + 146. Suppose -5*s + 26 = -14. What is l in -2*l + 14*l**r + l**4 - 2*l**2 + l**4 + 2 - s*l**3 - 6*l = 0?
1
Find m, given that -12*m - 8*m**2 + 2*m**4 + 48*m**3 + 3*m**2 - 47*m**2 + 12 + 38 - 36*m = 0.
-25, -1, 1
Let g(c) be the second derivative of -c**6/30 - 4*c**5/15 - 11*c**4/36 + 11*c**3/9 + 4*c**2/3 + 8*c. Determine u so that g(u) = 0.
-4, -2, -1/3, 1
Let -40*q - 38*q + q**2 + 112*q - 42*q = 0. Calculate q.
0, 8
Let c be 2*(-3 - (-630)/4). Let g = c - 2157/7. What is z in 4/7 + 2/7*z**2 + g*z = 0?
-2, -1
Let z be 84/18*9/2. Suppose -9 = 4*j - z. Solve -l + 4*l**2 - 2 - 4*l**2 + j*l - 2*l**3 + 2*l**2 = 0.
-1, 1
Let w = -963 - -966. Determine t, given that 45/4*t**w - 49/4*t**5 + t + 0 + 7*t**2 - 7*t**4 = 0.
-1, -2/7, 0, 1
Let q(p) = 2*p - 19. Let c be q(11). Determine w, given that -12*w - 8*w**3 - c - 4*w**4 + 6*w**5 + 14*w + 4*w**2 + 3 = 0.
-1, -1/3, 0, 1
Let m = 8/7 + -19/35. Suppose -769*u = -766*u - 9. Solve -3/5*q**u + 0 + 0*q**2 + m*q = 0.
-1, 0, 1
Let d(z) be the first derivative of -2/15*z**3 - 14 - 8/5*z**2 - 32/5*z. Factor d(n).
-2*(n + 4)**2/5
Let m be (-4)/24 - (-62)/12. Let k(b) = 15*b**2 - 12*b - 6. Let w(s) = -29*s**2 + 23*s + 11. Let l(d) = m*k(d) + 3*w(d). Factor l(u).
-3*(u - 1)*(4*u + 1)
Let x = 12126/6695 - 15/1339. Factor 3/5*z**2 - x*z + 6/5.
3*(z - 2)*(z - 1)/5
Determine d, given that 6/7*d**4 - 114/7*d**3 + 396/7 + 114/7*d - 402/7*d**2 = 0.
-3, -1, 1, 22
Let -3/5*b + 1/5*b**5 - 4/5*b**4 + 4/5*b**2 + 2/5*b**3 + 0 = 0. Calculate b.
-1, 0, 1, 3
Let y = -7641 + 7643. Suppose -8/17*x + 10/17 - 2/17*x**y = 0. Calculate x.
-5, 1
Let m(b) be the third derivative of 0 - 8*b**2 + 2/15*b**5 - 1/60*b**6 + 0*b + 0*b**3 + 0*b**4. What is t in m(t) = 0?
0, 4
Let c(b) = b**3 + 23*b**2 + 13*b - 198. Let r be c(-22). Factor r - 2/5*m**3 + 3/5*m**2 - 1/5*m.
-m*(m - 1)*(2*m - 1)/5
Let x(c) = -c**2 - 3*c. Let l be x(-6). Let m be (-15)/(-6)*l/(-15). Solve -z + 2*z**m + 4*z + 6*z**2 - 3*z = 0.
-3, 0
Let y(r) = r - 29. Let u be y(30). Let 32*v + 17 + 3*v**2 - 11*v + u = 0. Calculate v.
-6, -1
Let i(g) be the second derivative of 3*g**5/5 + 5*g**4/3 - 4*g**3/3 - 6*g - 1. Determine m so that i(m) = 0.
-2, 0, 1/3
Suppose 4 - 28 = -2*m. Let o be (-4)/m*(-3)/2. Suppose j + o + 1/2*j**2 = 0. Calculate j.
-1
Let f(r) be the first derivative of 3*r**7/1400 - 7*r**6/1800 - r**5/30 - r**4/30 - r**3 + 9. Let z(p) be the third derivative of f(p). Factor z(s).
(s - 2)*(s + 1)*(9*s + 2)/5
Let u be ((-10)/(-15))/(16/(-8))*-9. Suppose 0*l - l + 2 = 0. Let -1/5*y**5 - y - y**4 - l*y**2 - 1/5 - 2*y**u = 0. Calculate y.
-1
Let r = 1287/2 - 641. Determine u, given that 7/6*u**3 + 13/6*u + 2/3 + 1/6*u**4 + r*u**2 = 0.
-4, -1
Factor 1/6*v**5 - 8 + 20/3*v**2 + 8/3*v - 4*v**3 + 1/6*v**4.
(v - 2)**3*(v + 1)*(v + 6)/6
Let b be ((-1)/3)/(2/(-330)). Suppose -1 - 27*m**2 + 6*m - 30*m**2 + b*m**2 - 3 = 0. Calculate m.
1, 2
Let d(t) = -t**3 - 2*t**2 - t + 1. Let y(f) = -7*f**3 - 6*f**2 + 25*f + 27. Let h(j) = 3*d(j) - y(j). Let h(l) = 0. Calculate l.
-2, -1, 3
Find f, given that 160*f**2 + 55*f + 15*f + 2*f**4 + 25*f**3 + 9*f**3 + 58*f = 0.
-8, -1, 0
Find p such that -2*p**3 + 95*p**4 + 12*p**2 - 107*p**4 - 9*p + 14*p**3 - 6*p**3 + 3*p**5 = 0.
-1, 0, 1, 3
Let z(j) = -25*j**2 - 20*j - 15. Let s(k) = -k**3 + k**2 - k + 1. Suppose 23 = 12*t - 37. Let p(y) = t*s(y) + z(y). Find f, given that p(f) = 0.
-2, -1
Let g(f) be the first derivative of f**4/12 + 2*f**3/3 - f**2/6 - 2*f + 62. Find z such that g(z) = 0.
-6, -1, 1
Find d, given that -55 - 160*d + 5*d**4 - 760*d**3 - 146*d**2 - 4*d**2 + 720*d**3 = 0.
-1, 11
Let c = 1429 - 12857/9. What is d in -c - 2/9*d + 2/9*d**2 = 0?
-1, 2
Let x(f) be the third derivative of f**6/24 + 2*f**5/3 + 14*f**2 - 1. Factor x(p).
5*p**2*(p + 8)
Let x(l) be the first derivative of 25 + 0*l - 1/5*l**2 - 2/15*l**3. Factor x(t).
-2*t*(t + 1)/5
Determine k, given that -12/5 - 38/5*k**2 + 37/5*k + 13/5*k**3 = 0.
12/13, 1
Let y(t) = -t**4 + 3. Let o(b) be the second derivative of -b**6/30 - b**5/20 + 2*b**2 + 12*b. Let p(v) = 3*o(v) - 4*y(v). Solve p(h) = 0 for h.
0, 3
Let m be ((-6)/(-18) - 0)/(7/14). Factor -2/3*s**2 - 10/3*s - 2 + m*s**3.
2*(s - 3)*(s + 1)**2/3
Let o(f) = 21 + 0 - 8 + f**2 + 12*f. Let x be o(-11). Solve 2/3*b + 0 + 4/3*b**x - 2*b**3 = 0.
-1/3, 0, 1
Let d(z) be the third derivative of -4*z**7/105 + 5*z**6/6 - 28*z**5/5 + 50*z**4/3 - 64*z**3/3 - 117*z**2. Determine b so that d(b) = 0.
1/