Suppose 0*t - 4*t + 216 = 0. Suppose 7*q - 25*q = -t. Suppose -50/9 + 2/9*f**q - 22/9*f**2 + 70/9*f = 0. What is f?
1, 5
Let t be (-5 + 4 - 5)*(-2 - 0). Factor -6*c**2 - 7*c**3 - 6 - 3*c**5 - 5*c**3 + 15*c + 0*c**3 + t*c**4.
-3*(c - 2)*(c - 1)**3*(c + 1)
Let j(p) be the second derivative of -5*p**7/126 - 7*p**6/60 + 11*p**5/15 + 29*p**4/72 - 13*p**3/6 - 2*p**2/3 - 2965*p. Let j(b) = 0. What is b?
-4, -1, -1/10, 1, 2
Let y = -2326327/45 - -465278/9. Let h be 6/5 - 1/(-1). Determine t, given that 0*t - 1/5*t**2 - y*t**3 - t**5 - h*t**4 + 0 = 0.
-1, -1/5, 0
Let g(r) = -r**3 - 13*r**2 + 3*r + 42. Let a be g(-13). Factor w**2 - 3 - 2*w + 3 - 25*w**a + 26*w**3.
w*(w - 1)*(w + 2)
Let z(n) be the third derivative of -n**7/210 - n**6/15 + 7*n**5/15 + 10*n**4/3 - 131*n**2 + 4. Solve z(k) = 0.
-10, -2, 0, 4
Let b(d) be the third derivative of 0 + 44*d**2 + 0*d**3 + 1/420*d**6 - 1/21*d**4 + 1/735*d**7 - 2/105*d**5 + 0*d. Factor b(a).
2*a*(a - 2)*(a + 1)*(a + 2)/7
Let f(q) be the second derivative of -2*q**7/147 - 22*q**6/105 - 17*q**5/35 + 107*q**4/21 + 20*q**3 - 42*q - 91. Find z, given that f(z) = 0.
-7, -5, -2, 0, 3
Suppose -3728*d = 3*c - 3723*d - 35, 7 = -c + 3*d. Factor 0*q - 9/8*q**4 + 0*q**2 - 7/8*q**c + 0 - 1/4*q**3.
-q**3*(q + 1)*(7*q + 2)/8
What is m in 30*m**3 + 72*m**2 + 3*m**4 + 59200*m - 59200*m = 0?
-6, -4, 0
Let k(u) = 11*u**2 - 7*u**2 - 3*u**2 + 24. Let h be k(-11). Find l such that 1120*l + h*l**2 + 580 - 56*l**3 + 400 + 61*l**3 = 0.
-14, -1
Suppose 9*l - 17 = 10*l. Let o(h) = -h**3 - 16*h**2 + 12*h - 14. Let v be o(l). Let 4*z**2 + 34 + 2*z**3 + 37 - v = 0. What is z?
-2, 0
Let p(c) be the first derivative of 2 - 1/10*c**5 - 5/8*c**4 - 7*c**2 + 1/8*c**6 + 0*c + c**3. Let g(n) be the second derivative of p(n). Factor g(o).
3*(o - 1)*(o + 1)*(5*o - 2)
Let t = 10/49 + -32/637. Find l, given that 4/13*l**4 + t*l**5 + 0 - 2/13*l - 4/13*l**2 + 0*l**3 = 0.
-1, 0, 1
Suppose -312*m = -921*m. Determine g so that m*g - 3/5*g**3 - 2/5*g**2 - 1/5*g**4 + 0 = 0.
-2, -1, 0
Let v(j) = -j**2 + 48*j - 287. Let c be v(7). Let h(r) be the second derivative of -r + c - 1/54*r**4 + 0*r**2 - 1/9*r**3. Factor h(i).
-2*i*(i + 3)/9
Suppose 3*z = -o + 6*o - 1203, 4*o + z = 959. Factor -34 + 334*m - o*m**2 - 125*m**3 - 49*m + 110*m + 4.
-5*(m - 1)*(m + 3)*(25*m - 2)
Let n(x) be the first derivative of 3*x**5 - 1/2*x**6 - 9/2*x**4 + 0*x + 12*x**2 - 4*x**3 + 50. Let n(c) = 0. Calculate c.
-1, 0, 2
Let t(g) be the second derivative of g**5/60 - g**4/18 - 13*g**3/18 - 5*g**2/3 + 9*g - 71. Factor t(m).
(m - 5)*(m + 1)*(m + 2)/3
Let k = -186113/28 + 26615/4. Factor -92/7*a**2 - k + 128/7*a + 20/7*a**3.
4*(a - 2)**2*(5*a - 3)/7
Let l = 3 + 13. Suppose k - 3*b - 2*b = -l, -5*k + 5*b = 0. Suppose 27*u**4 - 352*u**2 + 85*u**k + 24 - 10*u + 220*u**3 + 6*u = 0. Calculate u.
-3, -1/4, 2/7, 1
Suppose -2*m = -5*b - 4, -3*b + 29 = -4*m + 23. Let k(v) = 6*v - 12. Let p(j) = j**2 - j - 2. Let d(n) = b*p(n) + k(n). Factor d(r).
-2*(r - 2)**2
Let u = -5 - -5. Let y(w) = -w**2 + 154*w - 1437. Let p be y(144). Find g such that -1/2*g**2 + 0 - 1/6*g**4 - 2/3*g**p + u*g = 0.
-3, -1, 0
Let y(c) = c**2 + 3*c + 1. Let x be y(4). Find i such that 0*i**3 - 32*i**4 + 6*i**2 - 3*i**3 + x*i**4 = 0.
-2, 0, 1
Let p(s) be the second derivative of s**8/16800 - s**7/1260 - s**6/225 + s**5/25 + 3*s**4 + 118*s. Let l(c) be the third derivative of p(c). Factor l(k).
2*(k - 6)*(k - 1)*(k + 2)/5
Let w = 5555 - 5549. Let b(t) be the third derivative of -w*t**2 + 1/30*t**5 + 0*t**3 + 1/12*t**4 + 0 + 0*t. Find h, given that b(h) = 0.
-1, 0
Let m(x) be the first derivative of -x**3 + 117*x**2/2 + 246*x - 1041. Let m(i) = 0. What is i?
-2, 41
Let h(f) = f**2 - f - 10. Let i be h(-3). Suppose 19*a**i - 54*a**2 + 6*a**3 + 2*a**2 - 12 + 39*a = 0. Calculate a.
1/2, 1, 4
Let f(w) = -53*w**2 + 88*w - 485. Let a(y) = 64*y**2 - 88*y + 484. Let s(p) = 5*a(p) + 6*f(p). Factor s(d).
2*(d - 5)*(d + 49)
Let y(x) be the first derivative of -12*x**2 + 0*x + 7/120*x**6 + 1/30*x**5 - 10 - 1/3*x**3 - 7/24*x**4. Let h(f) be the second derivative of y(f). Factor h(k).
(k - 1)*(k + 1)*(7*k + 2)
Let c = 268114 + -804182/3. Factor c*f + 56/3 - 6*f**3 + 34*f**2.
-2*(f - 7)*(3*f + 2)**2/3
Solve 227*j**3 + 9*j**3 - 452*j**3 + 134*j**4 + 79*j**4 + 3*j**5 = 0.
-72, 0, 1
Suppose 45*h = 39*h + 1326. Let c = -661/3 + h. Factor -4/3*v + 2*v**2 + 0 - c*v**3.
-2*v*(v - 2)*(v - 1)/3
Let z(d) = -1. Let q(k) = -3*k**2 - 72*k + 72. Suppose m - 5*o - 18 = 0, 4*m - 2*o = -4*o + 6. Let x(y) = m*z(y) - q(y). Solve x(h) = 0 for h.
-25, 1
Suppose -29 = -7*g + 13. Find n such that -2*n**4 + 8*n**2 - g*n**3 + 10*n + 16 + 8*n + 6*n - 4*n**2 = 0.
-2, -1, 2
Let r(a) be the third derivative of 5*a**8/84 + 377*a**7/30 - 5473*a**6/120 + 563*a**5/12 + 133*a**4/24 - 67*a**3/3 - 310*a**2 + a. What is l in r(l) = 0?
-134, -1/5, 1/4, 1
Suppose -3521 + 661*u + u**2 - 3031 + 7212 = 0. What is u?
-660, -1
Let h(o) be the first derivative of 19*o**5/5 + 211*o**4/4 + 782*o**3/3 + 496*o**2 + 96*o + 5282. Solve h(b) = 0 for b.
-4, -3, -2/19
Let s(l) be the second derivative of l + 3/5*l**4 + 7/25*l**5 - 8/5*l**2 + 93 - 8/5*l**3. Factor s(p).
4*(p - 1)*(p + 2)*(7*p + 2)/5
Factor 9*y + 120*y**3 + 44*y - 53*y - 4*y**5 - 52*y**4.
-4*y**3*(y - 2)*(y + 15)
Let q(i) be the third derivative of 10/3*i**3 + i**2 + 27 - 5/12*i**6 + 5/168*i**8 + 0*i + 1/42*i**7 + 5/3*i**4 - 5/12*i**5. What is b in q(b) = 0?
-2, -1, -1/2, 1, 2
Let y(p) be the second derivative of 2*p**6/15 - 8*p**5/5 + 5251*p. Let y(n) = 0. What is n?
0, 8
Suppose -35*k + 40*k = 25. Suppose k*g - 3*z - 9 = 0, -4*g + 5*z = 2*z - 9. Solve g - 3/5*f + 3/5*f**4 - 3/5*f**2 + 3/5*f**3 = 0 for f.
-1, 0, 1
Let j be 69/(-46)*2*18/(-27). Factor -16 + 4/3*t**3 - 56/3*t**j + 100/3*t.
4*(t - 12)*(t - 1)**2/3
Find f, given that 4*f**3 - 1041721*f**2 - 18055*f + 1041118*f**2 - 88209 - 7*f**3 - 13130*f = 0.
-99, -3
Suppose 0 = -0*k + 3*k - 15. Find h such that -39*h**2 + k*h**3 + 102*h - 100 + 18*h + 20*h**2 - 26*h**2 = 0.
2, 5
Let a(p) be the second derivative of p**6/45 - 77*p**5/30 - 79*p**4/6 - 239*p**3/9 - 80*p**2/3 - 739*p. Determine w, given that a(w) = 0.
-1, 80
Let h(j) = j**2 + 11*j - 6. Let z(y) be the third derivative of -5*y**4/12 + 2*y**3/3 - 8*y**2 + y. Let t(v) = -4*h(v) - 6*z(v). Factor t(u).
-4*u*(u - 4)
Suppose 0 = 6*j - 15*j + 45. Let x be (j + (-48)/9)*-111. Find d, given that 7*d + 16 + 20*d**3 + 12*d**2 - 18*d - x*d = 0.
-2, 2/5, 1
Let o(i) = 17*i**2 - 31*i + 212. Let f be o(6). Let c = 641 - f. Let 8/5 + 2*l**2 - 32/5*l + 14/5*l**c = 0. What is l?
-2, 2/7, 1
Let g(h) be the second derivative of -2*h**6/135 - 37*h**5/15 + 25*h**4/3 - 226*h**3/27 + 3886*h. Let g(t) = 0. What is t?
-113, 0, 1
Factor -292*y**2 + 4*y**5 - 9*y**3 - 3*y**5 - 1024 - 1664*y - 34*y**4 + 40*y**3 + 282*y**3.
(y - 16)**2*(y - 4)*(y + 1)**2
What is r in 8*r**4 + 14*r**4 + 3969*r + 15*r**4 - 61*r**4 - 125*r**3 - 3843*r**2 + 23*r**4 = 0?
-63, 0, 1
Let f(x) be the third derivative of x**8/10080 + x**7/840 + x**6/180 - x**5/30 - 35*x**2. Let v(h) be the third derivative of f(h). Solve v(c) = 0.
-2, -1
Let j = -228 + 230. Find i, given that -16613*i**2 - 499*i**3 - 6 + 16670*i**j - 17*i**3 + 624*i**4 + 33*i - 192*i**5 = 0.
-1/4, 1/4, 1, 2
Let r(p) be the third derivative of p**8/112 - 2*p**7/35 - p**6/2 - p**5/2 + 19*p**4/8 + 7*p**3 + 1049*p**2. Suppose r(h) = 0. Calculate h.
-2, -1, 1, 7
Let q(u) = -u**3 - 20*u**2 + 47*u + 51. Let y be q(-22). Let m be (33/y + (-17)/(-85))*-1. What is x in -27/5*x**m - 243/5*x - 1/5*x**3 - 729/5 = 0?
-9
Let i be -3 - -3 - 1 - -7. Suppose 11 = i*r - 1. Suppose -33*l - 4*l**2 + 0*l**r - 36*l + 73*l = 0. Calculate l.
0, 1
Suppose -74*i + 37*i = 8547. Let b = i + 231. Factor b*q + 0*q**2 - 2/11*q**3 + 0.
-2*q**3/11
Let n = 114 - 105. Factor 12 - n*j - 2*j**3 + 25*j**2 + 7*j**3 + 8 + 0*j**3 + 49*j.
5*(j + 1)*(j + 2)**2
Let w(u) be the first derivative of 3*u**4/4 + 12*u**3 + 27*u**2/2 - 66*u - 1140. Let w(j) = 0. What is j?
-11, -2, 1
Factor -57*v - 760 - 46*v + 238*v - 46*v - 4*v**2 + 27*v.
-4*(v - 19)*(v - 10)
What is h in 1/3*h**3 - 49/3*h**2 - 1/3*h + 49/3 = 0?
-1, 1, 49
Let f be 5/3*(12/6 + 13). Find c such that 38 - 66*c**2 + f*c + 67*c**2 - 9*c + 23*c = 0.
-38, -1
Let w(m) = -m**3 + 396*m**2 - 889*m + 454