5*n**2 - 4*n - 15. Let m(b) = -7*b**4 - 8*b**3 - 15*b**2 + 4*b + 14. Let r(f) = -5*m(f) - 6*v(f). Let r(k) = 0. What is k?
-5, -2, 1
Let a(i) be the first derivative of i**4/6 + 86*i**3/9 + 161*i**2 + 294*i - 22. Find j, given that a(j) = 0.
-21, -1
Let n(c) be the first derivative of -c**3/6 + 5*c**2/4 + 42*c + 616. Factor n(q).
-(q - 12)*(q + 7)/2
Let k be 1/(-2)*(-17)/((-51)/(-18)). Suppose 0 = 3*v + 2*m + 10, -4*v + k*m = -2*m - 25. Suppose 0*o**3 + v*o**2 + 0 + 0*o - 1/2*o**4 = 0. What is o?
0
Suppose -4/3*d**2 + 0 - 1/3*d**3 - 4/3*d = 0. What is d?
-2, 0
What is g in -6/5*g**3 + 0 - 12/5*g**2 + 6/5*g**4 + 0*g = 0?
-1, 0, 2
Let u(p) = 6*p**2 - 30*p + 104. Let b(l) = -8*l**2 + 31*l - 106. Let f(j) = 4*b(j) + 5*u(j). Factor f(z).
-2*(z - 3)*(z + 16)
Let u = 2441/215 - 471/43. Factor -4/15*m + 0*m**3 - u*m**2 + 0 + 2/15*m**4.
2*m*(m - 2)*(m + 1)**2/15
Factor 16/7*h + 57/7 - 1/7*h**2.
-(h - 19)*(h + 3)/7
Factor 0 + 68/3*w**2 - 578*w - 2/9*w**3.
-2*w*(w - 51)**2/9
Let l(s) be the third derivative of s**7/210 - s**6/120 - s**5/30 - 12*s**2. Solve l(b) = 0 for b.
-1, 0, 2
Let l be (56/70)/(1/5). Determine w so that -26*w**2 - 22*w**2 + 46*w**2 + 6 + l*w = 0.
-1, 3
Suppose -33*q - 237 = -450 + 114. Factor 21/5*l**2 - 9/5*l + 0 - 3*l**q + 3/5*l**4.
3*l*(l - 3)*(l - 1)**2/5
Let z = -15131 + 75687/5. Solve -48/5*v - 24/5*v**2 - 4/5*v**3 - z = 0.
-2
Let n(o) = 8*o**2 + 398*o - 18813. Let d(u) = 5*u**2 + 200*u - 9406. Let c(s) = 5*d(s) - 3*n(s). Factor c(g).
(g - 97)**2
Solve 3*g + 27/8*g**2 - 15/8*g**4 - 3*g**3 - 3/2 = 0.
-2, -1, 2/5, 1
Suppose -25 = -19*j + 32. Let d(v) be the second derivative of -3*v - 1/30*v**4 + 0 + 1/5*v**2 + 0*v**j. Find u such that d(u) = 0.
-1, 1
Let l(q) = q**3 + 13*q**2 - 2*q - 17. Let n be l(-13). Let w be (1 - 8/4) + n. Suppose 9*t - w*t + 2*t - 6 + 3*t**2 = 0. Calculate t.
-2, 1
Suppose -4*u + 2*g - 6 = 0, 6*u + 5*g - 15 = -5*u. Determine q, given that 4/9*q + u + 2/9*q**3 - 2/3*q**2 = 0.
0, 1, 2
Let x be (228/(-80) - -3)*72/54. Solve 0 + 0*z**2 - 1/5*z**3 + x*z = 0 for z.
-1, 0, 1
Suppose j = 4 - 2. What is z in j*z**3 + z**3 + 10*z**2 + 5*z + 2*z**3 = 0?
-1, 0
Let i(b) be the second derivative of -b**7/21 - 3*b**6/5 - 3*b**5 - 23*b**4/3 - 11*b**3 - 9*b**2 - 14*b - 1. Suppose i(c) = 0. What is c?
-3, -1
Let p be (-2)/(-13) + (4688/(-13))/4. Let t be 6/4 - p/(-108). Factor -2/3*d**3 + 4/3*d + t*d**2 + 0.
-2*d*(d - 2)*(d + 1)/3
Let q(m) be the second derivative of -6*m + 1/2*m**3 + 3/8*m**4 + 1/4*m**2 + 0 + 1/10*m**5. Factor q(z).
(z + 1)**2*(4*z + 1)/2
Let v(l) be the first derivative of -4/7*l - 3/7*l**2 - 8 - 2/21*l**3. Determine a so that v(a) = 0.
-2, -1
Let o = -1962 + 1967. Factor 0*d**3 + 4/15*d**2 - 4/15*d**4 - 2/15*d + 2/15*d**o + 0.
2*d*(d - 1)**3*(d + 1)/15
Let w(q) be the third derivative of q**6/30 + 7*q**5/3 + 64*q**4/3 + 248*q**3/3 - 3*q**2 - 108*q. Let w(o) = 0. What is o?
-31, -2
Find q such that -18 + 26 + 52 + 5*q**2 - 40*q + 5*q = 0.
3, 4
Let m(n) be the first derivative of n**4/4 - 3*n**3 + 7*n**2 - 66. Let m(s) = 0. What is s?
0, 2, 7
Let u(s) = -31*s**2 - 11*s**4 - s**4 + 25 + 37*s**3 - 4*s**3 - 14 - s. Let f(j) = -3*j**4 + 8*j**3 - 8*j**2 + 3. Let a(l) = -22*f(l) + 6*u(l). Factor a(w).
-2*w*(w - 3)*(w - 1)*(3*w + 1)
Let r(g) = g**4 + 5*g**3 + 5*g**2 - 7*g - 4. Let t(z) = 2*z**4 + 10*z**3 + 10*z**2 - 15*z - 7. Let a(q) = -10*r(q) + 4*t(q). What is h in a(h) = 0?
-3, -2, -1, 1
Suppose 2*j - 10 = 0, 4*x = 2*x + 2*j - 10. Suppose x*f = f - 3. Factor 2 - o - o**2 + f*o**2 - 3*o + 0*o.
2*(o - 1)**2
Let t(v) be the third derivative of -1/21*v**4 + 1/105*v**6 + 1/105*v**5 - 1/7*v**3 + 1/735*v**7 + 0*v + 27*v**2 + 0. Factor t(u).
2*(u - 1)*(u + 1)**2*(u + 3)/7
Let a = -75 + -45. Let m = a + 123. Factor 3/4*v - 3/4*v**m - 1/4*v**4 - 1/4*v**2 + 1/2.
-(v - 1)*(v + 1)**2*(v + 2)/4
Let o = 60 + -54. What is f in f**2 - 3*f**2 - o*f - 5 + 13 = 0?
-4, 1
Let m(g) be the first derivative of -1/3*g**3 - 1/2*g**4 + 0*g - 1/5*g**5 + 0*g**2 + 5. Determine n, given that m(n) = 0.
-1, 0
Let z(t) be the third derivative of -2/1365*t**7 + 0*t + 1/195*t**5 + 15*t**2 + 0*t**3 + 0*t**4 + 0 + 1/780*t**6 - 1/2184*t**8. Determine m so that z(m) = 0.
-2, -1, 0, 1
Let y(f) be the second derivative of f**5/30 + 23*f**4/18 + 43*f**3/9 + 7*f**2 - 39*f. Factor y(o).
2*(o + 1)**2*(o + 21)/3
Suppose w = -3*w. Suppose -748 + 706 = -14*p. Factor -1/4*j**p + 3/4*j + 1/2 + w*j**2.
-(j - 2)*(j + 1)**2/4
Suppose m = -8*m + 108. Factor -10*g**3 - m*g**2 + 5*g + g + g**2 + 3*g**3.
-g*(g + 2)*(7*g - 3)
Let b = -22829/30 - -761. Let i(d) be the third derivative of 0*d + b*d**5 + 1/12*d**4 - 9*d**2 + 0*d**3 + 0. Find h, given that i(h) = 0.
-1, 0
Let p(h) be the second derivative of h**5/5 + 11*h**4 + 170*h**3 - 578*h**2 + 29*h + 1. Factor p(y).
4*(y - 1)*(y + 17)**2
Let w(a) be the second derivative of 2*a**7/21 + 2*a**6 + 18*a**5 + 90*a**4 + 270*a**3 + 486*a**2 - 2*a - 6. Solve w(r) = 0.
-3
Let p = -109 - -113. Factor 32*z**2 + 7*z - 7*z**3 + z**4 + z**4 - 3*z**p + 6 - 37*z**2.
-(z - 1)*(z + 1)**2*(z + 6)
Let c(r) = -r**2 - 29*r + 24. Let i(s) = -4*s**2 - 86*s + 70. Let f(p) = -20*c(p) + 6*i(p). What is t in f(t) = 0?
1, 15
Let z be (0 - -6) + -4 + 0. Let 4*x**4 - 36*x**2 - 14*x**3 - 16 - z*x**4 - 4*x**4 + 28*x**3 + 40*x = 0. Calculate x.
1, 2
Let u(s) be the third derivative of s**6/540 + s**5/180 - s**4/18 + 5*s**3/3 - 7*s**2. Let m(c) be the first derivative of u(c). Solve m(o) = 0 for o.
-2, 1
Let r = 9412 - 75293/8. Determine s, given that 3/8*s**2 - 3/8*s**3 + r*s - 3/8 = 0.
-1, 1
Let f(b) = 2*b**4 + 4*b**3 + 12*b**2 - 7*b - 8. Let r(g) = 2*g**4 + 6*g**3 + 10*g**2 - 8*g - 8. Let l(c) = -2*f(c) + 3*r(c). Factor l(j).
2*(j - 1)*(j + 1)**2*(j + 4)
Let g = -17/10 + 39/20. Let m(l) be the second derivative of 0*l**3 + 0 - l + 0*l**5 - 1/10*l**6 + 0*l**2 + g*l**4. Let m(s) = 0. What is s?
-1, 0, 1
Let d(i) = -13*i**4 + 54*i**3 - 104*i**2 - 157*i + 7. Let n(l) = 4*l**4 - 18*l**3 + 34*l**2 + 52*l - 2. Let x(r) = 2*d(r) + 7*n(r). Factor x(g).
2*g*(g - 5)**2*(g + 1)
What is r in -44/9*r**3 + 16/3*r**2 - 2/9*r**5 + 16/9*r**4 - 2*r + 0 = 0?
0, 1, 3
Let d(q) = -2*q**2 - 102*q - 540. Let t be d(-6). Factor 0*u**3 - 18/11*u**4 + 0*u - 6/11*u**5 + 24/11*u**2 + t.
-6*u**2*(u - 1)*(u + 2)**2/11
Suppose 2*r = 3*q + 1, -4*q = -r - r. Factor 27*b**3 - 29*b**3 - 6*b - 5*b**2 - r - b**2.
-2*(b + 1)**3
Let l = -623 - -623. Let f(q) be the first derivative of 4/75*q**5 - 6 + 1/30*q**4 + l*q + 1/45*q**6 + 0*q**3 + 0*q**2. Suppose f(j) = 0. What is j?
-1, 0
Let w(x) = 3*x**4 + 15*x**2 - 18. Suppose -7 = -7*o - 0. Let p(r) = -r**2 + 1. Let g(h) = o*w(h) + 18*p(h). Suppose g(v) = 0. What is v?
-1, 0, 1
Let i(r) be the first derivative of -13 - 1/2*r**4 - 1/5*r**5 + 0*r + 1/3*r**3 + r**2. Suppose i(z) = 0. What is z?
-2, -1, 0, 1
Let w = -45 - -50. Suppose -w*c**2 + 0*c**3 - 2*c**3 + 12 - 2*c - 7*c**2 + 4*c**3 = 0. What is c?
-1, 1, 6
Let q(w) = 8 - w**2 + 10*w - 3 - 5*w. Let u(r) = -5*r**2 + 31*r + 31. Let a(l) = 34*q(l) - 6*u(l). Factor a(b).
-4*(b + 2)**2
Suppose -5*y + 3*t = t, 4*y + 7 = 3*t. Factor 12*d - 22*d**y - 2 + 4*d + 6*d**2 - 5*d + 7*d**3.
(d - 1)**2*(7*d - 2)
Let j(k) be the third derivative of -k**7/4200 + k**6/900 - k**5/600 - k**3 - 4*k**2. Let d(x) be the first derivative of j(x). Let d(u) = 0. Calculate u.
0, 1
Factor 0*g + 3/4*g**4 + 1083*g**2 + 57*g**3 + 0.
3*g**2*(g + 38)**2/4
Let s(y) be the second derivative of y**10/30240 - y**9/3780 + y**8/1344 - y**7/1260 + 5*y**4/6 + 10*y. Let n(h) be the third derivative of s(h). Factor n(k).
k**2*(k - 2)*(k - 1)**2
Let g(x) = -5*x**2 - 25*x + 24. Let d(n) = -12*n**2 - 50*n + 47. Let l(j) = -6*d(j) + 15*g(j). Factor l(p).
-3*(p - 1)*(p + 26)
Suppose 14 = 10*d - 36. Factor -3*z**2 - 3 - d*z - z + 12*z.
-3*(z - 1)**2
Let l be 2 + (0/(-1))/2. Let c = 380 + -1898/5. Factor -c - 2/15*o**l - 8/15*o.
-2*(o + 1)*(o + 3)/15
Let h(v) be the first derivative of -343/24*v**6 - 17/2*v**2 - 67/6*v**3 + 161/16*v**4 + 98/5*v**5 - 2*v + 10. Suppose h(b) = 0. What is b?
-2/7, 1
Let h be (-17)/23 + -1 - (16 + -18). Let n = 28/69 + h. Factor -n*s**4 + 0 + 0*s - 2/3*s**2 - 4/3*s**3.
-2*s**2*(s + 1)**2/3
Let b(t) be the third derivative of -t**6/900 - 3*t**5/50 - 27*t**4/20 - 81*t**3/5 - 377*t**2. Factor b(g).
-2*(g + 9)**