 = -3*f + 2*o - 62, 0*f - 79 = 4*f + o. Let q be (-28)/(-315) - 16/f. Determine m so that 0 + q*m**2 + 2/9*m = 0.
-1/4, 0
Let n = 130 + -97. Let f = 36 - n. Find a such that 0 - 2/5*a**2 + 4/5*a**f + 0*a = 0.
0, 1/2
Let p = 35315 - 35297. Find k, given that -24*k + 9/2*k**3 - 15/2*k**2 + p = 0.
-2, 2/3, 3
What is w in -4*w**2 + 1/3*w**3 - 13/3*w + 0 = 0?
-1, 0, 13
Let b be 6/(-9)*(-9)/2. Factor 4/7*y**b + 0 + 4/7*y**2 - 8/7*y.
4*y*(y - 1)*(y + 2)/7
Let -4 + 109*s - 3*s**5 + 113*s + s**4 - 231*s**2 + 5*s**4 - 68 + 81*s**3 - 3*s**4 = 0. Calculate s.
-6, 1, 4
Let d be (6/(-5) - -2)*130/52. What is b in -3/4*b + 0 + 3*b**d = 0?
0, 1/4
Let b(v) be the first derivative of 2/39*v**3 + 0*v - 3/13*v**2 + 7. Suppose b(a) = 0. Calculate a.
0, 3
Suppose -4*k = 4*d, d = 3*k + 20 - 4. Let -26*m**d - 16*m - 36*m**3 + 7*m**4 + 5*m**4 - 2*m**5 - 40*m**2 = 0. Calculate m.
-2, -1, 0
Let 15*o - 50 + 32*o**2 - 10*o**3 + o**4 - 5*o**5 + 48*o**2 - 31*o**4 = 0. Calculate o.
-5, -2, -1, 1
Factor -52*v**4 - 9*v - v + 47*v**4 + 5*v**2 + 0*v + 10*v**3.
-5*v*(v - 2)*(v - 1)*(v + 1)
Suppose 773*r - 12 = 770*r. Let n(t) be the first derivative of -1/4*t**r - 2*t**2 - 5 + 0*t - 4/3*t**3. Determine y, given that n(y) = 0.
-2, 0
Let d(j) be the first derivative of -5*j**4/26 - 28*j**3/13 + 29*j**2/13 + 36*j/13 + 13. Find m such that d(m) = 0.
-9, -2/5, 1
Let a(q) = 391*q - 2734. Let o be a(7). Let w = -221 - -1579/7. Solve 2/7*y + 32/7*y**4 + 2/7 - 34/7*y**2 + w*y**5 - 34/7*y**o = 0.
-1, -1/4, 1/4, 1
Let t(c) be the first derivative of 6*c**5/35 + 2*c**4/7 - 38*c**3/21 - 8*c**2/7 + 24*c/7 + 42. Determine l so that t(l) = 0.
-3, -1, 2/3, 2
Let v(z) be the second derivative of -z**7/252 - z**6/180 + z**5/60 + 206*z. Factor v(w).
-w**3*(w - 1)*(w + 2)/6
Let b(x) be the third derivative of -1/12*x**3 + 1/32*x**4 + 2*x + x**2 + 0 - 1/240*x**5. Factor b(c).
-(c - 2)*(c - 1)/4
Suppose -9/2*c - 11 + 6*c**2 - 1/2*c**3 = 0. What is c?
-1, 2, 11
Suppose 1 = 2*m - 5. Factor 5*n**2 + 323*n - 5 + 3*n**m + 2*n**3 - 328*n.
5*(n - 1)*(n + 1)**2
Let h(g) be the second derivative of -g**4/24 - 3*g**3/4 + 5*g**2/2 + 825*g. Solve h(r) = 0 for r.
-10, 1
Let x(k) be the second derivative of -k**6/15 + 31*k**5/10 - 63*k**4/2 - 799*k**3/3 - 578*k**2 - 241*k. Factor x(j).
-2*(j - 17)**2*(j + 1)*(j + 2)
Let v(m) be the second derivative of 1/40*m**4 + 7*m - 1/100*m**6 + 1/200*m**5 + 0 - 1/60*m**3 + 0*m**2. Determine t, given that v(t) = 0.
-1, 0, 1/3, 1
Let w(q) be the first derivative of q**5/110 + q**4/66 - q**3/33 - q**2/11 + 22*q + 17. Let r(z) be the first derivative of w(z). Factor r(s).
2*(s - 1)*(s + 1)**2/11
Let g = 43 + -27. Suppose c - z - g = -4*z, 2*c - 5*z = -12. Let -3*x**2 + 2*x + c*x**2 + x**2 + x**3 - x = 0. What is x?
-1, 0
Suppose -2*f - 15*f + 102 = 0. Let t(w) be the second derivative of 0 + 0*w**4 + 0*w**2 + f*w - 1/60*w**5 + 1/90*w**6 + 0*w**3. Let t(z) = 0. What is z?
0, 1
Find x such that 20/7*x**4 + 8/7*x - 32/7*x**3 + 0 + 4/7*x**2 = 0.
-2/5, 0, 1
Let u = -62 + 81. Solve u*c**2 - 12*c - 233*c + 51*c**2 - 5*c**3 = 0 for c.
0, 7
Let b be (-3*(-4 + 3))/(-1 - 0). Let z(p) = -3*p - 9. Let m be z(b). Solve 4/3*a + 6*a**3 + 2/3*a**5 + m - 14/3*a**2 - 10/3*a**4 = 0 for a.
0, 1, 2
Let w = 1048 + -3142/3. Let c be 10/4*(-8)/(-10). Determine a, given that -w*a - 1/3 - 1/3*a**c = 0.
-1
Suppose 19*j = 17*j - 268. Let l = 1208/9 + j. What is i in 0*i + l*i**2 + 0 = 0?
0
Suppose 69/4*m + 3/4*m**2 - 18 = 0. What is m?
-24, 1
Let g(z) be the third derivative of -z**8/336 - z**7/105 + 11*z**6/120 + 2*z**5/3 + 11*z**4/6 + 8*z**3/3 - 57*z**2. Factor g(c).
-(c - 4)*(c + 1)**2*(c + 2)**2
Suppose 4*f = -5*x + 13, 3*f - 7 - 1 = -2*x. Factor -x + 9*c - 3*c**2 - 5 + 0*c**2.
-3*(c - 2)*(c - 1)
Find q, given that -146*q**2 - 3/2*q**3 - 7007/2*q + 2401 = 0.
-49, 2/3
Let k be -2 + (2/(-4))/(2/4). Let n(w) = w**3 + 5*w**2 + 6*w + 5. Let o be n(k). What is z in 0*z**4 + 0*z**2 + 0 - z**3 + 1/2*z + 1/2*z**o = 0?
-1, 0, 1
Let f be ((-72)/576)/((-42)/8). Let t(d) be the second derivative of 1/15*d**6 - f*d**7 + 0 + 1/10*d**5 - 1/6*d**3 - 1/3*d**4 + 14*d + d**2. Factor t(n).
-(n - 2)*(n - 1)**2*(n + 1)**2
Factor 68/3*g + 0 - 1/3*g**2.
-g*(g - 68)/3
Let b = 8 + -2. Let i(n) = -3*n**2 + 17*n + 6. Let m be i(b). Factor 1/4*a**2 + 0*a**3 + m + 0*a - 1/4*a**4.
-a**2*(a - 1)*(a + 1)/4
Let y(b) = b**4 + b**2 + b. Let x(a) = -7*a**4 + 8*a**3 - 15*a**2 - a. Suppose 2*w = 3*l - 16, 3*w - 3*l = -23 + 5. Let n(p) = w*x(p) - 10*y(p). Factor n(i).
4*i*(i - 2)*(i - 1)**2
Let j(u) be the third derivative of -u**5/72 - 25*u**4/144 - 5*u**3/9 + 46*u**2. Factor j(s).
-5*(s + 1)*(s + 4)/6
Determine f, given that -9*f + 19/2 - 1/2*f**2 = 0.
-19, 1
Let n = -13 - -23. Let x = n - 8. Factor 0*j**3 + j**2 - j**3 + 0*j**2 - 2*j**x.
-j**2*(j + 1)
Suppose 2*a = 0, -4*v + 6*v = -4*a + 4. Let n be 1/v - 0/6. Solve n*f + 0 - 1/4*f**2 = 0.
0, 2
Let a(n) be the third derivative of -n**5/60 + 7*n**4/24 + 20*n**3/3 - 42*n**2. Let w be a(9). Factor -4 - w*z - 19*z**2 - 9/2*z**3.
-(z + 2)**2*(9*z + 2)/2
Let q(b) be the second derivative of b**6/135 + b**5/90 - b**4/9 - 4*b**3/27 + 8*b**2/9 - 118*b. Find t such that q(t) = 0.
-2, 1, 2
Let f(o) = o**5 - 2*o**2. Let w(a) = 8*a**4 + 24*a**3 - 40*a**2 - 20*a + 24. Let t(v) = 4*f(v) - w(v). Solve t(r) = 0 for r.
-2, -1, 1, 3
Factor 23*c**2 + 3*c**4 - 167*c**2 - 5*c**4 + 24*c**3 + c**4.
-c**2*(c - 12)**2
Let w be (-224)/(-1326) + 2/(-17). Let q(h) be the first derivative of 4/13*h - w*h**3 + 10 - 1/13*h**2. Solve q(n) = 0 for n.
-2, 1
Let h(n) = 19*n - 1. Let y be h(2). Suppose -y*q - 12 = -41*q. Determine t, given that 2/7*t**q - 2/7*t + 4/7 - 4/7*t**2 = 0.
-1, 1, 2
Suppose -99*j - 67*j + 332 = 0. Factor -2/5*d + 4/5*d**j + 2/5*d**3 - 4/5.
2*(d - 1)*(d + 1)*(d + 2)/5
Let s(o) = o**2 + 3. Suppose -w + 3*w = 0. Let a be s(w). Find z, given that 4*z**3 + z + z**4 - z**4 - 6*z**a + z**5 = 0.
-1, 0, 1
Let y(l) = -2. Let i(s) = 3*s**2 - 51*s - 244. Let j(w) = i(w) + 4*y(w). Factor j(f).
3*(f - 21)*(f + 4)
Let m(d) = 4*d**3 - 64*d**2 + 68*d - 24. Let c(w) = w**3 - 13*w**2 + 14*w - 5. Let a(r) = 16*c(r) - 3*m(r). Solve a(o) = 0 for o.
1, 2
Solve -3/2*w**2 - 36*w + 75/2 = 0.
-25, 1
Let k(z) be the second derivative of 5*z**5/4 - 65*z**4/12 - 5*z**3 + 3*z + 24. Factor k(q).
5*q*(q - 3)*(5*q + 2)
Let u(g) be the third derivative of 14*g**2 + 0*g + 1/12*g**4 - 1/30*g**5 + 0 + 2/3*g**3. Factor u(b).
-2*(b - 2)*(b + 1)
Let b = -1435 + 1440. Let c(w) be the third derivative of 0 - 1/45*w**b + 2/315*w**7 + 0*w**3 - 5*w**2 + 0*w + 0*w**6 + 0*w**4. Find y, given that c(y) = 0.
-1, 0, 1
Let g(c) = -18*c**3 - 24*c**2 - 6*c + 15. Let w be (-6)/(-4) - 5/(-10). Let i(s) = s**3 - 1 - 76*s + s**w + 76*s. Let l(p) = g(p) + 15*i(p). Factor l(y).
-3*y*(y + 1)*(y + 2)
Let p(w) = -3*w**5 + 31*w**4 - 54*w**3 + 48*w**2 - 8*w + 7. Let b(f) = f**5 - 10*f**4 + 18*f**3 - 16*f**2 + 3*f - 2. Let n(z) = -14*b(z) - 4*p(z). Factor n(v).
-2*v*(v - 5)*(v - 1)**3
Let a(l) be the second derivative of l**6/6 - 5*l**5/4 + 10*l**4/3 - 10*l**3/3 - 2*l - 15. Let a(g) = 0. Calculate g.
0, 1, 2
Suppose 14/9 - 16/9*w + 2/9*w**2 = 0. What is w?
1, 7
Let t(a) be the first derivative of -2*a**3/3 - 9*a**2 - 36*a - 27. Factor t(q).
-2*(q + 3)*(q + 6)
Determine t so that 6/7*t**2 - 4/7*t - 2/7*t**3 + 0 = 0.
0, 1, 2
Let l(c) = 22*c**3 - 442*c**2 + 716*c - 330. Let y(u) = -2*u**3 + 40*u**2 - 65*u + 30. Let m(i) = -6*l(i) - 68*y(i). Solve m(h) = 0.
1, 15
Determine q so that 2/3*q**5 - 88/3*q**2 + 8*q**4 + 26*q**3 - 288*q - 384 = 0.
-4, -3, 3
Let x(s) = -s + 8. Let n be x(6). Factor 3 + 84*g + 5*g**3 - 59*g - 13 - 20*g**n.
5*(g - 2)*(g - 1)**2
Let b(u) be the first derivative of -u**3/3 + 7*u**2/2 - 3*u + 5. Let o be b(6). Factor 0*t**5 - 4*t**4 + o*t**5 - 2*t**5 + 3*t**4.
t**4*(t - 1)
Let c(f) be the second derivative of -f**5/15 - 139*f**4/9 - 9520*f**3/9 + 9800*f**2/3 - 408*f. What is w in c(w) = 0?
-70, 1
Find u such that -8/3*u**3 + 0 + 8/3*u + 1/3*u**2 - 1/3*u**4 = 0.
-8, -1, 0, 1
Let p(o) be the second derivative of -3*o**6/50 - 3*o**5/50 + 59*o**4/60 + 2*o**3/3 - 10*o**2 - 160*o. Let p(n) = 0. Calculate n.
-2, 5/3
Let k(m) be the third derivative of -m**8/10080 - m**7/3780 + m**6/1080 + m**5/180 + m**4/12 + 19*m**2. Let y(n) be the second derivative of