 + 1)*(q + 3)/6
Let r(w) = w**3. Let g(x) = -14*x**3 + 6*x**2 + 2*x. Let f(c) = 2*g(c) + 12*r(c). Find h, given that f(h) = 0.
-1/4, 0, 1
Let n(y) be the third derivative of -125*y**8/84 + 1310*y**7/21 - 127*y**6 + 1508*y**5/15 - 100*y**4/3 - 289*y**2 - 2*y. Suppose n(q) = 0. Calculate q.
0, 2/5, 25
Let i(p) be the third derivative of -p**5/30 + 5*p**4/4 - 44*p**3/3 + 79*p**2. Let i(v) = 0. Calculate v.
4, 11
Suppose 2*q = q + 35. Factor 7 + 45*y**3 - 25*y**2 - 12*y - 33*y - 17 + q*y**4.
5*(y - 1)*(y + 1)**2*(7*y + 2)
Let i(z) be the third derivative of z**6/80 - 3*z**5/40 + z**3 - 3*z**2 + 16*z. Factor i(g).
3*(g - 2)**2*(g + 1)/2
Suppose 5*q = -0*q + 30. Let f = 1/8873 + 79855/17746. Factor f + 2*s**2 + q*s.
(2*s + 3)**2/2
Suppose -2*c - 2*v + 47 = -c, 161 = 3*c + v. Let n be 143/c + 4/10. Suppose 2*z**2 - 12*z - 2*z**2 + 13 - 4 + n*z**2 = 0. Calculate z.
1, 3
Suppose -5*s = -4*q + 5209, -q - 2*s + 1437 = 151. Determine j, given that 939*j**2 + q + 5376*j + 1869*j**3 + 752 - 497*j**3 + 3765*j**2 = 0.
-8/7
Let m(b) be the third derivative of b**8/56 - 97*b**7/70 + 81*b**6/10 - 41*b**5/2 + 113*b**4/4 - 45*b**3/2 - 12*b**2 - 12*b. Let m(v) = 0. Calculate v.
1/2, 1, 45
What is k in -8928*k**2 + 8927*k**2 - 4*k - 4*k = 0?
-8, 0
Let s(x) be the first derivative of -13 + 0*x + 1/12*x**3 + 0*x**2. Factor s(z).
z**2/4
Let x(r) be the first derivative of 10*r**6/3 - 9*r**5 + 15*r**4/2 - 5*r**3/3 - 180. Suppose x(w) = 0. Calculate w.
0, 1/4, 1
Let m(k) = -3*k**5 + 29*k**4 + 38*k**3 + 20*k**2 + 7*k. Let x(z) = -z**5 + 14*z**4 + 19*z**3 + 10*z**2 + 3*z. Let l(a) = -3*m(a) + 7*x(a). Factor l(u).
u**2*(u + 1)*(u + 2)*(2*u + 5)
Let p(d) be the third derivative of -2*d**7/105 - d**6/15 + d**5/15 + d**4/3 - 254*d**2. Factor p(x).
-4*x*(x - 1)*(x + 1)*(x + 2)
Let c(i) be the third derivative of i**7/735 + 13*i**6/420 + 11*i**5/105 - 164*i**2. Factor c(o).
2*o**2*(o + 2)*(o + 11)/7
Let -3*v**2 - 94 + 30*v + 6*v**2 + 84 + 58 = 0. Calculate v.
-8, -2
Suppose -5*w + 19 = 2*m, -4*w = -3*m - 2 - 4. Suppose 6 = 5*h - m*h. Factor 0*i + 4/7*i**h - 16/7.
4*(i - 2)*(i + 2)/7
Let d(k) be the first derivative of -k**6/2 + 9*k**5 - 9*k**4 - 28*k**3 - 756. What is j in d(j) = 0?
-1, 0, 2, 14
Let y(f) be the second derivative of f**4/3 - 20*f**3/3 - 22*f**2 + 449*f. Factor y(x).
4*(x - 11)*(x + 1)
Solve 212/5*g - 4/5*g**3 - 168/5 - 8*g**2 = 0.
-14, 1, 3
Let g = 7/24 + -1/8. Let p(i) be the third derivative of 0*i**5 - 1/210*i**7 + 0*i - i**2 + 0 - 1/12*i**4 + 1/60*i**6 + g*i**3. Find n such that p(n) = 0.
-1, 1
Let g(f) be the second derivative of 5*f**4/12 - 35*f**3 + 53*f. Factor g(b).
5*b*(b - 42)
Let b(h) be the third derivative of h**7/1260 + h**6/45 + 7*h**5/180 - h**4/9 - 5*h**3/12 + 21*h**2 + 3. Factor b(p).
(p - 1)*(p + 1)**2*(p + 15)/6
Let s(u) = 12*u**3 + 6*u**2 - 6*u. Let h(l) = -l**3 + l. Let d(w) = -2*w**3 + 11*w**2 + w**3 - 8 + w - 5. Let k be d(11). Let r(o) = k*h(o) - s(o). Factor r(q).
-2*q*(q + 1)*(5*q - 2)
Let s(t) be the third derivative of 0*t - 3/32*t**6 - 1/42*t**7 - 5/96*t**4 + 0*t**3 + 0 - 1/8*t**5 - 23*t**2. Factor s(l).
-5*l*(l + 1)**2*(4*l + 1)/4
Let r(s) be the third derivative of -1/14*s**7 - 5/336*s**8 + 5/6*s**3 + 1/6*s**5 + 0 + 5/8*s**4 + 0*s + 8*s**2 - 1/12*s**6. Solve r(l) = 0 for l.
-1, 1
Determine a, given that 49*a - 10*a - 10*a**2 - 7 - 7 + 0*a + 33*a = 0.
1/5, 7
Let -112*s**2 - 138*s**2 - 22391 - 2*s**3 - 31609 - 3154*s + 70*s**2 - 2246*s = 0. Calculate s.
-30
Suppose -22*p + 26*p + 8 = 0. Let o be 1/p*-1 + 56/224. Solve -o*f**2 - f - 1/4 = 0.
-1, -1/3
Suppose -x + 0*i = -4*i + 4, -2*x - 3*i = -36. Suppose 0*b + 11*b**3 - 7*b + 8*b**2 - x*b**3 = 0. Calculate b.
0, 1, 7
Let n = -23624/63 - -3380/9. Factor -20/7*v**4 - n*v + 0 - 44/7*v**3 - 4*v**2.
-4*v*(v + 1)**2*(5*v + 1)/7
Solve -17/4*s**3 - 2*s**2 + 0 - 1/4*s**5 - 5/2*s**4 + 0*s = 0 for s.
-8, -1, 0
Let w(s) be the first derivative of -s**3/3 - 11*s**2/2 + 2*s - 3. Let v be w(-11). Factor -8 + 10*c**v - 2*c**2 + 4*c + 0*c**3 - 4*c**3.
-4*(c - 2)*(c - 1)*(c + 1)
Suppose -6*x + 60 = 24. Find g such that 2*g - 4 + x*g**4 - 2*g**4 - 8*g**3 + 0 + 6*g = 0.
-1, 1
Let b be (1 + (-30)/25)*-10. Determine x, given that -19*x**b + 58*x**2 - 25*x - 19*x**2 - 25*x**2 = 0.
-5, 0
Let u(l) be the third derivative of -2/9*l**3 + 1/36*l**5 + 0 - 8*l**2 + 0*l - 1/630*l**7 - 1/120*l**6 + 1/24*l**4. Factor u(f).
-(f - 1)**2*(f + 1)*(f + 4)/3
Let x(s) be the first derivative of s**4/4 + s**3/3 - s**2 - 318. Find q, given that x(q) = 0.
-2, 0, 1
Let t = 12 + -10. Let m(f) = 3*f + 1. Let o be m(t). Suppose 6*n**4 - 2*n - 6*n**2 - 2*n + o*n + 2*n**5 - 5*n**5 = 0. What is n?
-1, 0, 1
Let q = 6/1883 + 16917/9415. Factor -2/5*i**3 + q*i**2 + 1 - 12/5*i.
-(i - 1)**2*(2*i - 5)/5
Factor -89*l - 12*l**2 - 5*l**2 - 9409 - 105*l - 11*l**2 + 27*l**2.
-(l + 97)**2
Let d(h) = -4*h - 6. Let i be d(0). Let q be (-4)/2 - -2*(-11)/i. Factor 3*z**2 - 7/3*z + 2/3 - q*z**3 + 1/3*z**4.
(z - 2)*(z - 1)**3/3
Let n(d) be the second derivative of d**4/4 + 11*d**3 + 363*d**2/2 + 8*d - 4. Let n(s) = 0. Calculate s.
-11
Let n = 49 - 22. Find i such that -97*i - 405 + n*i**2 + 7*i - 18*i**2 - 14*i**2 = 0.
-9
Find w such that 3*w**2 - 2*w**2 - 7*w - 5 - 17 + 14 = 0.
-1, 8
Let c(j) = 34*j. Let l be c(0). Let k(o) be the third derivative of 0*o**3 - o**2 + 0*o - 1/40*o**6 + l + 3/8*o**4 + 1/10*o**5. Factor k(v).
-3*v*(v - 3)*(v + 1)
Let w = 17 + 4. Let q be (-32)/12*(-9)/w. Suppose -8/7*f**2 + 2/7 + q*f**3 - 2/7*f = 0. Calculate f.
-1/2, 1/2, 1
Let y(t) = -49*t**2 + 60*t + 24. Let r(j) = 146*j**2 - 185*j - 71. Let v(n) = 4*r(n) + 11*y(n). Factor v(q).
5*(q - 2)*(9*q + 2)
Suppose -5*q + 22 = -3*d, -2*q - 3*d = -2*d. Determine p so that -4*p - 17*p**q + 3*p + 4*p + 16*p**2 = 0.
0, 3
Let k(c) be the first derivative of -12/7*c**2 - 4/35*c**5 - 21 + 0*c - 4/21*c**3 + 4/7*c**4. Determine f so that k(f) = 0.
-1, 0, 2, 3
Let u be 1*(-21)/((-49)/7). Let o(h) be the first derivative of -1/7*h**2 + 0*h + 3 + 1/14*h**4 - 2/35*h**5 + 2/21*h**u. Find b, given that o(b) = 0.
-1, 0, 1
Let s = -16099 - -112696/7. Determine a so that -3/7*a + s*a**3 - 5/7*a**2 + 4/7 + 1/7*a**4 = 0.
-4, -1, 1
Let c(g) be the second derivative of 3*g**4 + 0 + 4*g**2 + g**5 - 11*g + 2/15*g**6 + 14/3*g**3. Factor c(d).
4*(d + 1)**3*(d + 2)
Let d(a) be the second derivative of -a**4/4 - 28*a**3 - 1176*a**2 - 133*a. Factor d(i).
-3*(i + 28)**2
Let s = 325/12 - 79/3. Let v(w) be the first derivative of -s*w**4 + 0*w - 2*w**3 + 5 + 0*w**2. Let v(a) = 0. What is a?
-2, 0
Suppose a = -4*a + 10. Let d(m) = -24*m**a + 6*m + 13*m + 12*m**3 - m**3. Let h(g) = -5*g**3 + 12*g**2 - 10*g. Let s(q) = -2*d(q) - 5*h(q). Factor s(k).
3*k*(k - 2)**2
Suppose 4 = -4*o + 8*o. Let q be o*(-217)/(-105) + (-1)/(-3). Factor -18/5 - 2/5*a**2 + q*a.
-2*(a - 3)**2/5
Let v(n) be the second derivative of n**5/8 + 15*n**4/8 + 15*n**3/2 - 454*n. What is s in v(s) = 0?
-6, -3, 0
Let f be ((-18)/10)/((1470/175)/(-6)). Factor 0 + f*s - 3/7*s**2.
-3*s*(s - 3)/7
Find h such that -13*h - 38*h**2 - 4*h**3 - 96*h**2 + 74*h**2 - 43*h = 0.
-14, -1, 0
Let a(d) = d + 5. Let g(o) = -o - 5. Let u(h) = 4*a(h) + 5*g(h). Let x be u(-7). Let 5 - 3*m - 9*m + 4*m**x + 3 = 0. What is m?
1, 2
Suppose 2*w - 6 = 0, 8*w = 5*i + 5*w + 534. Let y be 1 + 0 - (-21)/i. Let -1/5*z**3 - 8/5*z + y + z**2 = 0. Calculate z.
1, 2
Find h such that -80*h**4 + 50/3*h**5 + 6*h**3 - 248*h + 988/3*h**2 + 48 = 0.
-2, 2/5, 3
Let -c**4 + c**5 - 3*c**2 + 27*c**3 - 13*c**3 - 19*c**3 = 0. What is c?
-1, 0, 3
Let d(o) = -o**3 + 16*o**2 + o - 16. Suppose -3*g + 7*g + 24 = 0. Let r(s) = 5*s**3 - 65*s**2 - 5*s + 65. Let b(v) = g*r(v) - 25*d(v). Factor b(u).
-5*(u - 1)*(u + 1)*(u + 2)
Suppose -f + 0*f = -2. Suppose y - 5*a - 1 = -2, 2*y - f*a = 6. Factor 12 - y*g + g**3 - 4*g**3 - 12 + 8*g**2.
-g*(g - 2)*(3*g - 2)
Let p(k) be the third derivative of k**6/432 + k**5/144 - 5*k**4/24 + k**3/3 - 22*k**2. Let b(g) be the first derivative of p(g). What is z in b(z) = 0?
-3, 2
Factor -40/7*s + 4/7*s**2 + 100/7.
4*(s - 5)**2/7
Let k be (17/(3094/(-78)))/((-5)/7). Factor 0 - 6/5*h + k*h**2.
3*h*(h - 2)/5
Let k(w) be the first derivative of 0*w + 0*w**2 - 5 + 1/12*w**3. Factor k(b).
b**2/4
Let d be (-2)/(-10)*(18 - 17). Suppose 12 = j + 4*l, 3*l + 0*l = -5*j + 26. L