*t**2 + 110/3*t**4 = 0?
-32, -2, -1, -2/3
Let a(k) = -k**3 - k**2 - k. Let y(l) = 6*l**3 + 2*l**2 + 7*l. Let w = 4 + 11. Let p(c) = w*a(c) + 3*y(c). Determine g so that p(g) = 0.
0, 1, 2
Let z be (16/10)/((-32)/(-80)). Let y be (-657)/(-315) + z/(-14). Let 6/5*d**4 - 1/5*d**5 + 16/5*d**2 - 14/5*d**3 + 2/5 - y*d = 0. Calculate d.
1, 2
Let l(p) be the first derivative of -p**3/9 + 5*p**2 - 164. Let l(f) = 0. What is f?
0, 30
Let s(b) be the third derivative of b**8/1176 + b**7/147 + b**6/420 - b**5/10 - 3*b**4/14 - 17*b**2 - 8*b. Suppose s(a) = 0. Calculate a.
-3, -1, 0, 2
Let -81*v**2 + 3/4*v**3 + 2187*v + 0 = 0. Calculate v.
0, 54
Suppose -3*u - 52 = 2*v - v, 0 = -4*v + 5*u - 174. Let z = v + 95/2. Factor -1/2 - 3/2*d**2 - 1/2*d**3 - z*d.
-(d + 1)**3/2
Suppose 16*p + 4*p = 40. Let w be (p/(-4)*-2)/((-63)/(-18)). Factor -1/7 - 1/7*y**2 + w*y.
-(y - 1)**2/7
Let x be ((-33)/9)/(-11) - 17/60. Let c(h) be the third derivative of 0 - 1/10*h**3 - 7*h**2 + 0*h - 1/100*h**5 - x*h**4. Solve c(y) = 0 for y.
-1
Let t(z) be the second derivative of -5/3*z**4 + 3*z - 8/5*z**3 + 0 + 8/5*z**2 - 9/25*z**5. Factor t(s).
-4*(s + 1)*(s + 2)*(9*s - 2)/5
Suppose -256/7 - 208/7*n**2 - 60/7*n**3 + 960/7*n + 2*n**4 = 0. What is n?
-4, 2/7, 4
Let c(s) be the second derivative of -s**5/10 - 71*s**4/2 - 5041*s**3 - 357911*s**2 - 99*s + 1. Factor c(y).
-2*(y + 71)**3
Let l(o) be the third derivative of -o**8/42 + o**7/21 + 3*o**6/20 + 2*o**2 + 52*o. Solve l(h) = 0 for h.
-1, 0, 9/4
Let m(u) = u - 2. Suppose b = 3*b - 10, 5*i = 2*b. Let r be m(i). Factor r - 3/5*v + 3/5*v**2.
3*v*(v - 1)/5
Let w(j) = j**3 - 19*j**2 + 19*j - 11. Let n be w(18). Suppose 0 = -2*m + 4*m - 10. Factor -n*s**5 - m*s + 3*s**3 + 2*s**5 + 7*s**3.
-5*s*(s - 1)**2*(s + 1)**2
Let i(n) be the third derivative of -n**5/15 + 106*n**4/3 - 22472*n**3/3 - 201*n**2. Factor i(g).
-4*(g - 106)**2
Let k(z) be the first derivative of -z**6/45 - 3*z**5/10 - 2*z**4/3 - 41*z**3/3 + 46. Let q(r) be the third derivative of k(r). Factor q(h).
-4*(h + 4)*(2*h + 1)
Suppose v + 2*n = 4*v, -4*v = -9*v - 4*n. Suppose -4/3*a**3 + 4/3*a**2 + 1/3*a**5 + v*a + 0 - 1/3*a**4 = 0. What is a?
-2, 0, 1, 2
Let o(u) be the third derivative of -u**5/30 + 71*u**4/6 - 47*u**3 + 7*u**2 + 3*u. Find x, given that o(x) = 0.
1, 141
Let u be 9/(-12) + (4 - 116/36). Let o(d) be the second derivative of 2*d - 1/72*d**4 + u*d**3 + 0*d**2 + 0. Determine p so that o(p) = 0.
0, 1
Let j(p) be the first derivative of -p**5 + 55*p**4/4 - 50*p**3/3 + 27. Factor j(w).
-5*w**2*(w - 10)*(w - 1)
Find l, given that -1/6*l**3 - 162 - 72*l - 13/2*l**2 = 0.
-18, -3
Let r be (-25 + 25)/(-20 - -22). Factor -2/3*h - 10/3*h**2 - 8/3*h**3 + r.
-2*h*(h + 1)*(4*h + 1)/3
Let d(h) = 5*h**2 + 2*h - 3. Let u(t) be the first derivative of -t**3/3 - t**2/2 + t - 22. Let m(j) = 5*d(j) + 20*u(j). Factor m(n).
5*(n - 1)**2
Let n(s) = -s + 8. Let b be n(3). Factor b*p - 4*p**2 + 10*p - 7*p.
-4*p*(p - 2)
Solve -15/2*o**3 - 15/2*o**2 + 55/2*o + 5/2*o**4 - 15 = 0 for o.
-2, 1, 3
Let a(r) be the first derivative of -r**3/24 + 39*r**2/16 - 37*r/4 - 73. Solve a(g) = 0 for g.
2, 37
Let c = 294 - 294. Let r(d) be the third derivative of 1/30*d**3 + 0 + d**2 + 0*d**4 + c*d - 1/300*d**5. Factor r(p).
-(p - 1)*(p + 1)/5
Let n(m) be the first derivative of 1/2*m**2 + 1/9*m**3 - 9 - 4/3*m. Factor n(t).
(t - 1)*(t + 4)/3
Suppose -1 + 4 = -o, 9 = 5*v + 2*o. Let s(p) = -p**3 + 3*p**2 + 2*p - 4. Let z be s(v). Determine r so that -4*r**2 + 8*r**4 - 5*r**4 - 12*r**3 + 16*r**z = 0.
0, 2
Factor 27*u - 34079 - 4*u**3 + 34025 + 3*u**3.
-(u - 3)**2*(u + 6)
Factor -51/2*j + 27/8*j**3 + 9 + 63/4*j**2.
3*(j + 6)*(3*j - 2)**2/8
Let w(h) = -10*h + 93. Let u be w(9). Let s(z) be the first derivative of -3 - 1/3*z**u + 1/15*z**5 + 4/3*z - 2/3*z**2 + 1/6*z**4. Find g, given that s(g) = 0.
-2, 1
Factor -26*a**3 - 196 - 88*a**2 - 30*a**3 - 44*a**3 + 336*a - 4*a**4 + 52*a**3.
-4*(a - 1)**2*(a + 7)**2
Let g(a) = -2*a**3 + 6*a**2 + 34*a + 50. Let d(p) = p**2 + 2*p + 1. Let q(c) = -28*d(c) + 2*g(c). Factor q(b).
-4*(b - 2)*(b + 3)**2
Let t(b) be the second derivative of -b**4/16 - 17*b**3/12 + 3*b**2 - 165*b. Find c such that t(c) = 0.
-12, 2/3
Suppose 6*w = 4*w. Determine c so that c**2 + 17*c**3 + w*c - 1 - 21*c**3 + 4*c = 0.
-1, 1/4, 1
Let i(u) be the second derivative of 0*u**4 + 0 - 6*u + 1/130*u**5 + 0*u**2 - 4/39*u**3. Factor i(r).
2*r*(r - 2)*(r + 2)/13
Suppose 22 = h - 3*s, -8*h - 5*s - 30 = -9*h. Suppose 3*g = 5*z - 6 + h, -5*g + 19 = 4*z. Solve -18/5*n**4 - 4/5 - 6*n - 74/5*n**2 - 66/5*n**g = 0 for n.
-2, -1, -1/3
Suppose -3*h = 2*f - 12, 2*h + 141*f = 139*f + 10. Factor 8/3*p**h - 4/3*p - 4/3*p**3 + 0.
-4*p*(p - 1)**2/3
Let o(n) be the first derivative of 0*n**3 + 0*n + 0*n**2 + 3/28*n**4 - 21 + 1/35*n**5. Factor o(q).
q**3*(q + 3)/7
Suppose 5*u - 2 - 8 = 0. Factor 5*i**3 - 3*i - i**2 + 5 + 2*i**u - 2*i - 6*i**2.
5*(i - 1)**2*(i + 1)
Let h(o) be the second derivative of o**7/147 - o**6/35 - o**5/7 + 10*o**4/21 + 8*o**3/7 - 32*o**2/7 + 35*o - 1. Suppose h(f) = 0. What is f?
-2, 1, 2, 4
Let b = 164113301/604 - 543417/2. Let c = b - 2/151. Suppose -3/2*l**3 + 3/4 - 3/4*l**5 + c*l + 3/2*l**2 - 9/4*l**4 = 0. What is l?
-1, 1
Factor 26/9*j**3 - 8/3*j**2 + 2/9*j**5 + 0 - 4/3*j**4 + 8/9*j.
2*j*(j - 2)**2*(j - 1)**2/9
Let f(d) = -d**2 + 7*d + 13. Let p be f(8). Suppose 14 = 3*b - m, p*m + 34 = 2*b + b. Factor 0*q - 2/5*q**b + 4/5*q**2 + 0.
-2*q**2*(q - 2)/5
Determine p, given that 2/9*p**4 + 128 - 44/9*p**3 - 352/3*p + 338/9*p**2 = 0.
3, 8
Let h = 1 + 4. Suppose 20 = h*w, 0*r + 13 = 3*r + w. Factor -8*b + 22/3*b**2 - 2*b**r + 8/3.
-2*(b - 2)*(b - 1)*(3*b - 2)/3
Determine c, given that 42/5 + 4*c + 2/5*c**2 = 0.
-7, -3
Let j(p) be the second derivative of -9*p**5/80 + 13*p**4/16 + 7*p**3/2 + 9*p**2/2 + 530*p - 2. Find n such that j(n) = 0.
-1, -2/3, 6
Let m(g) be the second derivative of -g**5/120 - 5*g**4/48 - g**3/3 - 17*g**2/2 - 22*g. Let z(j) be the first derivative of m(j). Find d such that z(d) = 0.
-4, -1
Let v(c) be the third derivative of -1/90*c**6 + 0*c - 4/9*c**3 + 12*c**2 + 0 - 1/12*c**4 + 1/10*c**5. Factor v(l).
-2*(l - 4)*(l - 1)*(2*l + 1)/3
Suppose 6 = -3*o, 4*s - 23 = 5*o + 3. Let h(z) = 2*z**2 - 12*z + 21. Let l be h(4). Factor -9/2*b**3 - 7/2*b**s - 5/2*b**2 + 0 - 1/2*b - b**l.
-b*(b + 1)**3*(2*b + 1)/2
Let s(w) = w**3 - 4*w**2 + 2*w + 5. Let o be s(4). Let f(a) = -a**3 - a. Let n be f(-1). Factor q**5 + 2*q - 3*q**5 + 9*q**4 + 4*q**n - o*q**4.
-2*q*(q - 1)*(q + 1)**3
Let b(g) be the first derivative of 5*g**4/4 + 5*g**3/3 - 5*g**2/2 - 25*g + 18. Let c(u) be the first derivative of b(u). Factor c(y).
5*(y + 1)*(3*y - 1)
Let l = -4535 - -9075/2. Solve j**2 + 0 + l*j**3 + 2*j**4 + 0*j + 1/2*j**5 = 0.
-2, -1, 0
Factor 220/9*c**2 + 1296 + 696*c + 2/9*c**3.
2*(c + 2)*(c + 54)**2/9
Let w be (2 - (-18)/(-12))*8. Suppose 0 = -w*y + y - 2*a + 96, 51 = 2*y - 3*a. Solve -98/3*g**5 + 0 + 56/3*g**4 + y*g**3 - 56/3*g**2 + 8/3*g = 0.
-1, 0, 2/7, 1
Let y(l) be the second derivative of -l**4/24 + 43*l**3/6 - 1849*l**2/4 - 4*l + 10. Find m such that y(m) = 0.
43
Let w be ((-1)/10)/((-16)/(-64)) + 999. Let z = 1004 - w. Solve -18/5*d + 3/5*d**2 + z = 0.
3
Let m(c) be the first derivative of 5*c**4/12 - 5*c**3/9 - 10*c**2/3 + 20*c/3 - 40. Solve m(y) = 0.
-2, 1, 2
Let t(x) be the third derivative of x**8/1008 - 53*x**7/630 + 15*x**6/8 + 81*x**5/20 - 483*x**2. Factor t(b).
b**2*(b - 27)**2*(b + 1)/3
Let x be 13/3 + (4 - (-52)/(-12)). Let o be 4/x + 4/(-20). Factor o*i**2 + 0 - 2/5*i**3 - 2/5*i.
-2*i*(i - 1)**2/5
Find c such that -8/9*c**3 - 86/3*c**2 - 512/9 - 704/3*c = 0.
-16, -1/4
Let a(b) be the first derivative of -14/5*b**3 - 686/5*b - 147/5*b**2 - 1/10*b**4 + 33. Determine q, given that a(q) = 0.
-7
Let i = 2249/5585 - 3/1117. Let f(u) be the first derivative of -3/10*u**2 - 3 + 0*u + i*u**3 - 3/20*u**4. Factor f(r).
-3*r*(r - 1)**2/5
Let s(p) be the second derivative of -p**4/3 - 4*p**3 - 2*p - 54. Factor s(y).
-4*y*(y + 6)
Let p(a) be the first derivative of -a**4/2 + 10*a**3/3 + 17*a**2 - 42*a + 278. Let p(w) = 0. What is w?
-3, 1, 7
Factor 7986*d - 3/2*d**4 - 1089*d**2 - 43923/2 + 66*d**3.
-3*(d - 11)**4/2
Let q(a) = -3*a + 19 + 0*a + 4*a - 6. Let v be q(-11). Factor -x**3 - x**3 + 1 + 3*x**3 - x**v 