ctor 999*a**2 + 3787*a**2 + 200700*a + 25*a**3 - 296*a**2 - 81000.
5*(a + 90)**2*(5*a - 2)
Suppose 16/7*h**2 - 20/7*h + 20/7*h**3 + 2/7*h**4 - 18/7 = 0. Calculate h.
-9, -1, 1
Determine x, given that -4/3*x**2 + 2/3*x - 9/2*x**3 + 0 - 19/6*x**4 - 2/3*x**5 = 0.
-2, -1, 0, 1/4
Let h(t) be the third derivative of -t**9/60480 + t**7/2520 - 7*t**4/24 + 11*t**2. Let w(v) be the second derivative of h(v). Solve w(g) = 0 for g.
-2, 0, 2
Let 1141 + 5*r**2 - 10*r + 1094 - 2275 = 0. Calculate r.
-2, 4
Let t(f) = 4*f**3 - 15*f**2 - 3*f - 2. Let p be t(4). Factor -6/13*j - 6/13*j**3 + 0 - 20/13*j**p.
-2*j*(j + 3)*(3*j + 1)/13
Suppose 0 = 115*x + 272*x - 280 - 494. Factor -9/7*l**x + 12/7*l**3 - 54/7*l + 0 + 3/7*l**4.
3*l*(l - 2)*(l + 3)**2/7
Let h(n) = -n + 3*n**2 + 81 - 80 - 3*n**2 - n**2. Let i(c) = -c - 12 + 0 - 3 + 3*c**2. Let o(j) = h(j) - i(j). Factor o(t).
-4*(t - 2)*(t + 2)
Let o(z) = -z**3 - 9*z**2 - z - 6. Suppose 0*r + r - 2*q + 11 = 0, -8 = r + q. Let b be o(r). Factor -2*a**3 + a**2 - a + 3*a**b + 0 - 3 + 2.
(a - 1)*(a + 1)**2
Factor -13*v**3 + 8*v**3 - 24*v**4 + 64 + 23*v**4 + 88*v + v**3 + 6*v**3 + 36*v**2.
-(v - 8)*(v + 2)**3
Let z = 580/1713 - 3/571. Let 0 - 1/3*y + z*y**5 - 2/3*y**2 + 0*y**3 + 2/3*y**4 = 0. Calculate y.
-1, 0, 1
Let i(g) be the first derivative of 2/3*g - 13 - 4/3*g**2 + 2/15*g**5 + 4/3*g**3 - 2/3*g**4. Solve i(n) = 0 for n.
1
Let m(j) = 2*j**4 - j**3 - 5*j**2 - 2*j - 3. Let y(w) = 8*w**4 - 3*w**3 - 21*w**2 - 10*w - 13. Let r(z) = 26*m(z) - 6*y(z). Solve r(l) = 0 for l.
-1, 0, 1, 2
Let j(t) be the first derivative of -69/8*t**4 - 3/10*t**5 + 35 - 84*t**3 - 240*t**2 + 768*t. Factor j(i).
-3*(i - 1)*(i + 8)**3/2
Let g(f) be the first derivative of 4*f + 3/2*f**2 + 4 + 0*f**3 - 1/4*f**4. Let o(b) be the first derivative of g(b). Find i such that o(i) = 0.
-1, 1
Let v(m) be the first derivative of -m**6/840 + m**4/14 + 16*m**3/3 + 9. Let s(z) be the third derivative of v(z). Solve s(r) = 0 for r.
-2, 2
Suppose -30*m + 52*m = 88. Let y(c) be the first derivative of 7/24*c**m + 6 - 1/9*c**3 - 7/3*c**2 + 4/3*c. Determine h so that y(h) = 0.
-2, 2/7, 2
Let f be (2 + 0 + -6)*-2. Let u = f - 5. Let 21*w**2 + 3*w**3 - 3*w**3 + 14*w + 31*w + 27 + 3*w**u = 0. What is w?
-3, -1
Let c = 988 + -986. Factor -l**c + 20/3 + 28/3*l.
-(l - 10)*(3*l + 2)/3
Let q(h) be the second derivative of 0*h**3 + 1/30*h**6 - 14*h + 1/42*h**7 + 0*h**5 + 0*h**4 + 0*h**2 + 0. Factor q(a).
a**4*(a + 1)
Suppose -5*k + x = -0*k + 4, -4*x + 16 = -5*k. Suppose 0*l + l - 12 = k. Factor 7 + l*d - 6 + 21*d**2 - 30*d**3 + 3*d**4 - 13 + 6*d**4.
3*(d - 2)*(d - 1)**2*(3*d + 2)
Let g(x) be the second derivative of -3*x**6/10 - 29*x**5/20 + 5*x**4/2 + 4*x**3/3 - 25*x + 2. Factor g(m).
-m*(m - 1)*(m + 4)*(9*m + 2)
Factor -39/2 - 3/4*y**2 - 81/4*y.
-3*(y + 1)*(y + 26)/4
Let w(d) be the first derivative of d**4/72 + d**3/9 + d**2/3 + 7*d + 7. Let s(q) be the first derivative of w(q). Factor s(g).
(g + 2)**2/6
Let b(l) be the third derivative of -12*l**2 - 2/33*l**3 - 1/1848*l**8 - 4/165*l**5 + 1/330*l**6 + 0*l + 0 + 2/1155*l**7 + 7/132*l**4. Factor b(k).
-2*(k - 1)**4*(k + 2)/11
Solve 8/3*q + 2 + 2/3*q**2 = 0 for q.
-3, -1
Let g(p) be the second derivative of -p**7/42 - p**6/30 + 29*p**5/20 + 15*p**4/4 - 36*p**3 - 216*p**2 + 11*p + 5. Determine m, given that g(m) = 0.
-3, 4
Let s(w) be the first derivative of -w**3/4 - 15*w**2/2 - 27*w - 7. Factor s(a).
-3*(a + 2)*(a + 18)/4
Let y(s) be the first derivative of 1/90*s**6 + 1/15*s**5 + 0*s + 0*s**4 - 4/3*s**3 + 0*s**2 + 3. Let r(h) be the third derivative of y(h). Factor r(v).
4*v*(v + 2)
Suppose -4*z = z - 4*z. Let y(l) = 2*l + 2. Let a be y(z). Factor -4/15 - 2/15*v**a - 2/5*v.
-2*(v + 1)*(v + 2)/15
Let o(t) = 3*t**2 + 181*t - 122. Let i be o(-61). Let c = 1028/5 + -205. What is b in i*b + c - 3/5*b**2 = 0?
-1, 1
Suppose -149*i + 26 = -136*i. Let u(t) be the first derivative of 2/3*t**3 + 1/4*t**4 - 1/2*t**2 - i*t + 1. Factor u(w).
(w - 1)*(w + 1)*(w + 2)
Let l = 7479/5 + -1491. Solve 78/5*q + 21/5*q**2 - l = 0 for q.
-4, 2/7
Let a(u) = -4*u**4 - 4*u**3 - 8*u**2 + 24*u + 12. Let v(r) = r**2 - r - 1. Let b(n) = -a(n) - 20*v(n). Suppose b(z) = 0. What is z?
-2, -1, 1
Let v(i) be the third derivative of i**6/576 - i**5/480 - 10*i**3/3 - 31*i**2. Let m(h) be the first derivative of v(h). Factor m(x).
x*(5*x - 2)/8
Suppose 5*r = 10, -6*h + 5*r = -4*h + 2. Let k(a) be the second derivative of 1/130*a**5 + 0*a**2 - 1/78*a**h + 0 - 2/39*a**3 - 7*a. Factor k(j).
2*j*(j - 2)*(j + 1)/13
Factor 0 - 2/9*i + 26/9*i**2 - 8/3*i**3.
-2*i*(i - 1)*(12*i - 1)/9
Let u(q) = 3*q**2 + 18*q + 30. Let v(t) = 2*t**2 + 16*t + 29. Let j(d) = 5*u(d) - 6*v(d). Suppose j(a) = 0. What is a?
-2, 4
Find h such that -4/5*h**4 + 0 + 96/5*h**3 - 40*h + 108/5*h**2 = 0.
-2, 0, 1, 25
Let y = 359 - 158. Let p = 201 - y. Suppose -16/13*f**2 + p - 40/13*f**3 - 28/13*f**4 - 6/13*f**5 + 0*f = 0. Calculate f.
-2, -2/3, 0
Let f be 0/(2*(-2)/4). Suppose 10 = 5*v - 4*w - 2, 5*v + 5*w - 30 = f. Factor -5*i**3 - v*i**3 + 2*i**3 + 4*i**3.
-3*i**3
Let h(q) be the second derivative of 1/20*q**5 + 25*q + 1/12*q**4 - 1/3*q**3 + 0 + 0*q**2. Factor h(l).
l*(l - 1)*(l + 2)
Let o be 172/301 + (-1)/(-7). Factor 1/7*g**4 + 1/7*g**5 - o*g**3 + 8/7*g - 1/7*g**2 - 4/7.
(g - 1)**3*(g + 2)**2/7
Let a(l) be the third derivative of l**5/30 - 3*l**4/4 - 2*l**2 + 8. Factor a(b).
2*b*(b - 9)
Let j = 485/974 + 1/487. Let a(b) be the first derivative of 0*b**4 + j*b**6 + 6/5*b**5 - 3/2*b**2 - 2*b**3 + 0*b - 6. Suppose a(v) = 0. What is v?
-1, 0, 1
Factor 4/9*d**4 + 0 - 8/3*d**3 - 10/9*d + 28/9*d**2 + 2/9*d**5.
2*d*(d - 1)**3*(d + 5)/9
Suppose 3*z = -56 + 77. Let j(g) be the first derivative of z - 2*g**2 - 8*g + 4/3*g**3. Factor j(v).
4*(v - 2)*(v + 1)
Let u(j) = -2*j - 28 + j + 27. Let t(i) = 2*i**2 + 13*i + 29. Let f(r) = t(r) - 3*u(r). Determine q so that f(q) = 0.
-4
Let l(k) be the first derivative of -21*k**5/5 + 123*k**4/4 - 78*k**3 + 66*k**2 + 24*k + 63. What is s in l(s) = 0?
-1/7, 2
Let c = 1421 - 1412. Let r(k) be the first derivative of c - 16/3*k**3 + 4/5*k**5 - 2*k**4 + 12*k + 4*k**2. Factor r(w).
4*(w - 3)*(w - 1)*(w + 1)**2
Suppose 4*m + 26 = -2*f - 0*m, 3 = -f + 3*m. Let j = -9 - f. Let -2/11*q**2 + 4/11*q + j = 0. Calculate q.
0, 2
Let -16/15 + 2/3*w**3 - 8/3*w + 4/15*w**2 = 0. What is w?
-2, -2/5, 2
Suppose 4*m + 40 = -68. Let r(k) = -324*k**2 - 324*k - 78. Let h(b) = -10 + 8 + 25*b**2 + 8 + 25*b. Let c(u) = m*h(u) - 2*r(u). Factor c(t).
-3*(3*t + 1)*(3*t + 2)
Let x(b) be the third derivative of -b**7/2100 - b**6/150 - 11*b**3/6 - 31*b**2. Let t(i) be the first derivative of x(i). Factor t(c).
-2*c**2*(c + 6)/5
Let i(j) be the first derivative of -9*j**5/40 + 81*j**4/32 + 7*j**3/24 - 65*j**2/16 + 9*j/4 - 653. Suppose i(y) = 0. What is y?
-1, 1/3, 2/3, 9
Let x = 168 + -163. Suppose x*f + d = 2, 8 = -5*f + 9*d - 5*d. Solve f - 1/3*c**3 + 1/3*c**5 - 1/3*c**4 + 0*c + 1/3*c**2 = 0.
-1, 0, 1
Let l(j) be the first derivative of -2*j**3/3 + j**2 + 4*j + 6. Let v be l(2). Determine a so that 0*a + 2/3*a**2 + 2/9*a**3 + v = 0.
-3, 0
Let p(y) be the second derivative of -y**6/70 - 129*y**5/140 - 123*y**4/28 - 121*y**3/14 - 60*y**2/7 + y. Factor p(f).
-3*(f + 1)**3*(f + 40)/7
Let q be (6 + (-63)/10)*(-110)/15. Let i(o) be the first derivative of -q*o**2 - 4/5*o + 26/15*o**3 - 3. Solve i(w) = 0.
-2/13, 1
Suppose 3*v - 13 + 4 = 0. Factor 5*b**4 + 45*b - 6*b**2 + 10*b**v - 55*b + b**2.
5*b*(b - 1)*(b + 1)*(b + 2)
Let d(y) = -30*y**2 + 115*y + 70. Let m(f) = -5*f**2 + 19*f + 12. Let x(v) = -6*d(v) + 35*m(v). Determine n so that x(n) = 0.
0, 5
Let f(n) be the second derivative of -3/10*n**5 + 7/3*n**3 - 1/2*n**4 + 0 - 12*n + 1/15*n**6 + 6*n**2. Factor f(m).
2*(m - 3)*(m - 2)*(m + 1)**2
Let u be 1359/12 + (10/8)/5. Let d = u - 113. Factor d*i**3 - 1 + 0*i**2 - 3/2*i.
(i - 2)*(i + 1)**2/2
Let a(c) be the second derivative of c**8/448 - 3*c**6/160 - c**5/40 + 4*c**2 - 5*c. Let s(z) be the first derivative of a(z). Factor s(o).
3*o**2*(o - 2)*(o + 1)**2/4
Let q(d) be the second derivative of -d**9/128520 + d**8/57120 + 10*d**4/3 + d. Let j(f) be the third derivative of q(f). Factor j(z).
-2*z**3*(z - 1)/17
Let v be 3/3*5/60. Let i(c) be the third derivative of -1/30*c**5 + 6*c**2 + 0*c + 0 - v*c