s be (-1696)/(-24)*(-15)/(-10). Suppose -10 = 101*a - s*a. Let -8/3*m + a + 8/9*m**3 + 2/9*m**4 - 4/9*m**2 = 0. What is m?
-3, 1
Let k(p) be the second derivative of -21*p**4 - 74088*p**2 + 15*p - 1 + 1/10*p**5 + 1764*p**3. Solve k(h) = 0.
42
Let s(b) be the second derivative of 0*b**2 + 7/36*b**4 + 1/18*b**6 + 2 + 10*b + 1/126*b**7 + 3/20*b**5 + 1/9*b**3. What is n in s(n) = 0?
-2, -1, 0
Suppose -63 = 117*b + 8 - 656. Find s, given that -4*s + 6*s**2 - 15/2*s**4 - 9/2*s**b + 7*s**3 + 0 = 0.
-2, -1, 0, 2/3
Let g(r) be the first derivative of 5/4*r**4 + 545/3*r**3 + 100 - 15125*r + 14575/2*r**2. Factor g(v).
5*(v - 1)*(v + 55)**2
Suppose -y = t - 27, -6*y + 19*y = 52. Let k(i) be the second derivative of -6*i**2 + 0 + 7/2*i**3 + t*i - 3/8*i**4. Determine m so that k(m) = 0.
2/3, 4
Determine f, given that 304*f + 12*f**3 - 36*f**4 + 50*f**4 - 30*f**4 + 212*f**2 - 2*f**5 + 10*f**3 + 128 = 0.
-8, -2, -1, 4
Let u(s) = -2*s**2 - 2. Let l(q) = 15*q**2 + 7*q + 6. Let b(h) = -5*l(h) - 35*u(h). Factor b(n).
-5*(n - 1)*(n + 8)
Suppose -61816*g = -61811*g - 10. Solve 0*p**3 + 0*p + 2/3*p**4 + 2/3 - 4/3*p**g = 0 for p.
-1, 1
Let m be (-1 + 45/21)/(-4*(-105)/490). Find z, given that 28*z**4 - m*z**5 - 768*z + 1808/3*z**2 - 608/3*z**3 + 1024/3 = 0.
1, 2, 8
Suppose 9*u - 24 = -60. Let a(x) = 2*x**2 + 7*x. Let g be a(u). Find b such that 16*b**5 - 50*b**4 + 46*b**4 + 12*b**2 + g*b**2 - 64*b**3 + 0*b**2 = 0.
-2, 0, 1/4, 2
Let x(m) be the second derivative of m**4/24 + 377*m**3/3 + 100*m - 25. Determine c so that x(c) = 0.
-1508, 0
Let z(x) be the first derivative of -x**4/18 + 1906*x**3/9 - 680680*x**2/3 - 4089800*x/9 - 2685. Factor z(t).
-2*(t - 1430)**2*(t + 1)/9
Determine k, given that 325125 + 5/4*k**2 + 1275*k = 0.
-510
Suppose 0 = -19*n + 7*n + 36. Let 64*m - 4*m**n + 86*m**2 + 14*m**2 + 25*m**5 - 141*m**3 - 40*m**4 - 4*m = 0. What is m?
-2, -2/5, 0, 1, 3
Let j(b) be the first derivative of b**3/4 + 627*b**2/8 + 156*b - 1191. Factor j(c).
3*(c + 1)*(c + 208)/4
Suppose -16*v + 32*v - 32 = 0. Factor 35*a**4 - 62*a**4 + 6*a - 10*a**2 + 29*a**4 + 6*a**3 - 2*a**5 - v*a.
-2*a*(a - 1)**3*(a + 2)
Let 129/2*k**3 - 42*k + 4 + 61*k**2 - 85/2*k**4 = 0. What is k?
-1, 2/17, 2/5, 2
Let i(a) be the second derivative of a**6/45 - 19*a**5/5 + 223*a**4/18 + 38*a**3/3 - 224*a**2/3 + 1314*a. What is d in i(d) = 0?
-1, 1, 2, 112
Let l(g) be the third derivative of -g**5/210 - 17*g**4/12 + 40*g**3/7 + 1002*g**2. Factor l(y).
-2*(y - 1)*(y + 120)/7
Let z(l) be the third derivative of l**7/84 - 17*l**6/60 + 13*l**5/30 + 32*l**4/3 + 16*l**3 - 4*l**2 + 10*l. Suppose z(o) = 0. Calculate o.
-2, -2/5, 4, 12
Let l(j) be the second derivative of j**6/30 - j**5/4 - 31*j**4/12 - 43*j**3/6 - 9*j**2 - 22*j - 61. What is z in l(z) = 0?
-2, -1, 9
Let k(h) be the second derivative of -1/48*h**5 + 0 + 0*h**2 - 7*h + h**3 + 0*h**4 + 1/432*h**6. Let a(q) be the second derivative of k(q). Factor a(r).
5*r*(r - 3)/6
Suppose 0 = 4*z - 4*l + 6*l - 42, z - 4*l - 24 = 0. Let m = 2 - 0. Find b such that -z*b - b**5 + b**4 + 12*b + m*b**3 = 0.
-1, 0, 2
Suppose 6920/3*r + 2992900/3 + 4/3*r**2 = 0. Calculate r.
-865
Let f(r) be the first derivative of -r**7/3360 + r**6/720 + r**5/480 - r**4/48 + r**3 + 6*r**2 - 118. Let d(h) be the third derivative of f(h). Factor d(o).
-(o - 2)*(o - 1)*(o + 1)/4
Let w(t) = -6*t - 438. Let m be w(37). Let n = -658 - m. Factor -2/9*f**3 + 0*f + 1/3*f**4 + 0 - 1/9*f**5 + 0*f**n.
-f**3*(f - 2)*(f - 1)/9
Let p be ((-120)/70)/((-16)/80*45/14). What is i in -2/9*i**3 + p*i**2 - 14/3*i + 20/9 = 0?
1, 10
What is w in 0 + 1/2*w**2 + 54*w = 0?
-108, 0
Suppose 0 = 4*f + 4, -5*f + 5 = 3*k - 10*f. Suppose 5*c - 51 = -5*a - 61, k = -c - 5. What is m in -1/3*m**a - 3*m + 2*m**2 + 4/3 = 0?
1, 4
Let y(b) = -19*b**4 - 311*b**3 + 5334*b**2 - 20720*b + 15698. Let m(f) = 4*f**4 + f**3 + f**2 - 3. Let s(o) = 6*m(o) + y(o). Suppose s(c) = 0. What is c?
1, 4, 28
Let x(r) be the second derivative of -r**6/50 - 831*r**5/100 - 9657*r**4/10 - 8694*r**3/5 + 171396*r**2/5 - 720*r. Solve x(h) = 0.
-138, -3, 2
Let h be 5/60 + -20 + 31 + (-127)/12. Suppose 3*a + 2 = 5. Suppose -h*l + 1/2*l**2 - a = 0. Calculate l.
-1, 2
Let a(x) be the first derivative of 6*x**2 + 46 - 1/9*x**4 - 2*x - 16/9*x**3. Let l(r) be the first derivative of a(r). Suppose l(n) = 0. What is n?
-9, 1
Factor 621*l**3 + 700*l - 40*l**2 - 318*l**3 + 6000 - 308*l**3.
-5*(l - 12)*(l + 10)**2
Suppose 3*v = -5*t - 1 + 39, 2*v = 5*t - 33. Suppose -5*c + 24 = -2*c + 3*y, -3*y = -3*c + 6. Factor 3*i**3 - c*i**2 - i**3 - t*i**2.
2*i**2*(i - 6)
Suppose j - 4*n - 269 = 0, -4*j - n + 645 + 397 = 0. Let t = j + -1301/5. Solve -2/5*r**3 - t*r**2 + 0*r + 0 = 0.
-2, 0
Let t = 5597 - 5595. Let h(u) be the first derivative of -22 + 4/3*u**3 + 9/2*u**2 + t*u. Find x such that h(x) = 0.
-2, -1/4
Let m(u) be the third derivative of u**6/120 - 3*u**5/2 - 93*u**4/8 + 2*u**2 - 503. Suppose m(q) = 0. Calculate q.
-3, 0, 93
Let w(q) = 6*q**3 - 195*q**2 - 822*q - 636. Let d(h) = 13*h**3 - 390*h**2 - 1645*h - 1277. Let n(k) = -3*d(k) + 7*w(k). Factor n(b).
3*(b - 69)*(b + 1)*(b + 3)
Let k(i) be the first derivative of i**6/33 - 4*i**5/11 + 31*i**4/22 - 4*i**3/3 - 32*i**2/11 + 64*i/11 - 1576. Find g, given that k(g) = 0.
-1, 1, 2, 4
Suppose -6526*l + d = -6523*l + 1, 5*d - 41 = -3*l. Factor -6 - 9/2*t**l + 9*t + 3/4*t**3.
3*(t - 2)**3/4
Suppose -2*h - 5*w - 171 = 0, 5*h - h + 384 = 4*w. Let a = 96 + h. Solve 46*m + 1 + 6*m**4 - 39*m**2 + 13*m**2 - 14*m**a - 13 = 0.
-2, 1/3, 1, 3
Let u(b) be the second derivative of 7*b**4/60 + 1738*b**3/5 - 298*b**2 - 6420*b. Let u(x) = 0. What is x?
-1490, 2/7
Let f(z) = 4*z**2 - 387*z - 10. Let x(r) = -4*r**2 + 384*r + 8. Let t(a) = 4*f(a) + 5*x(a). Find l, given that t(l) = 0.
0, 93
Solve -73*m**2 - 38663/2 + 30*m**3 - 19434*m + 1/2*m**4 = 0 for m.
-41, -1, 23
Let p be 14/(-10)*(-69 + 91328/1344). Find g, given that -8/15*g - 8/15 + 4/5*g**3 - 6/5*g**4 + p*g**2 = 0.
-2/3, 1
Let j(v) be the third derivative of -v**6/240 - v**5/24 + 61*v**4/48 - 55*v**3/12 + 927*v**2. Factor j(d).
-(d - 5)*(d - 1)*(d + 11)/2
Let t(u) be the first derivative of -27 + 31*u - 1/48*u**4 + 1/24*u**3 + 1/8*u**2 - 1/80*u**5. Let w(x) be the first derivative of t(x). Factor w(g).
-(g - 1)*(g + 1)**2/4
Suppose -4*q - 38 = 10. Let z be (-20)/q - (96/(-18) + 5). Find s such that 1/4*s**3 + 0*s**z + 0*s + 0 - 1/4*s**5 + 0*s**4 = 0.
-1, 0, 1
Let u(y) = y**3 - 2*y**2 - 49*y + 60. Let n(p) = p**3 - 4*p**2 - 49*p + 60. Let r(a) = 5*n(a) - 4*u(a). Suppose r(c) = 0. What is c?
-4, 1, 15
Let i(p) be the first derivative of -11*p**9/3780 + 13*p**8/2100 - p**7/525 + 2*p**3/3 - 22*p + 35. Let b(n) be the third derivative of i(n). Factor b(a).
-4*a**3*(a - 1)*(11*a - 2)/5
Let l(o) be the second derivative of o**5/50 - o**4/5 + o**3/5 + 2*o**2 - 12447*o. Factor l(q).
2*(q - 5)*(q - 2)*(q + 1)/5
Let c(w) = 423*w**2 - 43*w - 23. Let l(q) = 65*q**2 - 7*q - 4. Let a(g) = -8*c(g) + 52*l(g). Solve a(m) = 0 for m.
-3, -2
Let f = 23009/17 + -1353. Let o = f - 22/119. Solve -2/7*j**2 + 0 - o*j = 0.
-1, 0
Let z(c) be the second derivative of 0*c**6 + 0*c**2 + 0 + 1/126*c**7 - 1/20*c**5 + 72*c + 0*c**3 + 1/18*c**4. Factor z(r).
r**2*(r - 1)**2*(r + 2)/3
Suppose 224/9*q**3 - 64/3*q - 392/9*q**2 + 10/9*q**4 + 0 = 0. What is q?
-24, -2/5, 0, 2
Let m(h) be the third derivative of 0 - 20*h + 1/60*h**4 + 0*h**3 + 0*h**5 + 4*h**2 - 1/2100*h**7 - 1/400*h**6. Let m(t) = 0. Calculate t.
-2, 0, 1
Let -836*u**2 + 585 - 2*u**3 - 3828*u - 2307 + 5*u**4 - u**4 - 3318 - 26*u**3 = 0. Calculate u.
-7, -3, 20
Let f(a) be the second derivative of a**10/75600 - a**8/5600 + a**7/3150 + a**4/4 + 2*a**3/3 - 37*a - 2. Let i(g) be the third derivative of f(g). Factor i(r).
2*r**2*(r - 1)**2*(r + 2)/5
Suppose -r + 0*r = 0. Let n = -25485 - -25487. Suppose -3/7*u**3 + 0 - 9/7*u**4 + r*u + 6/7*u**n = 0. Calculate u.
-1, 0, 2/3
Suppose 20 = 10*s - 0*s. Factor 4*k**3 + 6*k**3 + 172*k**2 + s*k**3 + 4*k**2 - 60*k.
4*k*(k + 15)*(3*k - 1)
Factor -1352/3*f**3 + 52/3*f**4 + 0*f**2 - 1/6*f**5 + 0 + 0*f.
-f**3*(f - 52)**2/6
Factor 8*i**2 + 648011*i + i**4 - 648011*i - 9*i**3.
i**2*(i - 8)*(i - 1)
Suppose 168 = -95*a + 1783. Let i(b) be the second derivative of -5/2*b**2 + 0 - 5/24*b**3 + 5/12*b**4 + 1/16*b**5 - a