 - 1/5*h**4 - 6/5*h = 0.
-1, 1, 3
Suppose -13*q - 37 - 57 + q**2 - 52 - 36 + 152 = 0. Calculate q.
-2, 15
Solve -93*u**2 - 357*u**3 - 137*u - 3*u**4 - 60 + 342*u**3 - 2*u**4 + 6*u**4 = 0.
-3, -1, 20
Let i = 16813 - 101201/6. Let x = 54 + i. Factor x*d - 1/6*d**2 + 0.
-d*(d - 1)/6
Factor 150 - m - 7*m - 135 + m**2.
(m - 5)*(m - 3)
Factor 28*a + 4 + 5 + 57*a**2 - 25*a**2 - 64*a**3 - 5.
-4*(a - 1)*(4*a + 1)**2
Let q(f) = 3*f - 4. Let b be q(2). Factor b*i**3 - 1120*i**2 + 3*i + 1114*i**2 - 3*i.
2*i**2*(i - 3)
Let a(z) be the second derivative of 0 - 1/24*z**4 - 18*z - 1/12*z**3 + 1/2*z**2. Factor a(m).
-(m - 1)*(m + 2)/2
Let r(z) be the first derivative of 16*z**5/25 - 699*z**4/5 + 123188*z**3/15 - 45066*z**2/5 - 30276*z/5 + 234. Find i, given that r(i) = 0.
-1/4, 1, 87
Let j(s) = -s**2 + 6*s - 1. Let z be j(5). Suppose -4*p + y = -17 - 4, -3*p + z*y + 32 = 0. Factor -12*v + v**p - v**3 + v**2 + 5*v + 8*v - 2*v**2.
v*(v - 1)**2*(v + 1)
Suppose -6*i + 47 - 17 = 0. Suppose i*t - 5*h - 15 = 0, t + 0*t = 4*h + 3. Factor 3/8*n**2 + 0*n + 0 - 1/8*n**4 - 1/4*n**t.
-n**2*(n - 1)*(n + 3)/8
Determine s, given that -695*s**2 + 20*s**4 - 12*s**3 + 917*s**3 - 109*s - 150*s + 19*s + 10*s = 0.
-46, -1/4, 0, 1
Let v(y) be the third derivative of -y**6/3060 + y**5/340 - 7*y**3/3 + y**2. Let t(d) be the first derivative of v(d). Solve t(w) = 0.
0, 3
Let h(t) = 19*t**4 + 47*t**3 - 16*t. Let q(c) = -47*c**4 - 23*c**3 + 21*c**4 - c + 17*c**4 + 9*c. Let x(u) = 6*h(u) + 10*q(u). Determine m, given that x(m) = 0.
-2, -2/3, 0, 1/2
Suppose -15/8 + 3/2*n + 3/8*n**2 = 0. Calculate n.
-5, 1
Factor 2/13*y**3 - 4/13 - 6/13*y + 0*y**2.
2*(y - 2)*(y + 1)**2/13
Let f = -2115/56 + 303/8. Let y(z) be the first derivative of 3 - 3/35*z**5 + f*z**4 + 0*z**2 + 1/7*z**3 - 1/14*z**6 + 0*z. Determine o, given that y(o) = 0.
-1, 0, 1
Solve 21*x**3 - x**4 + x**3 - 38*x**2 - 3895*x - x**4 + 3913*x = 0 for x.
0, 1, 9
Suppose -f + 22 = -5*y, 11*f = 9*f + 3*y + 16. Suppose f*x**2 - 6/5*x**3 - 2/5*x**4 + 0 + 2/5*x**5 - 4/5*x = 0. Calculate x.
-2, 0, 1
Let d be (6 - 35/(-42)) + 6/(-1). Let a(x) be the second derivative of -4/3*x**2 + 0 - d*x**4 - 2*x**3 + 5/12*x**5 + 6*x. Factor a(s).
(s - 2)*(5*s + 2)**2/3
Let k(t) be the third derivative of t**5/12 - 55*t**4/24 - 37*t**2. Factor k(u).
5*u*(u - 11)
Suppose -13*g - 8*g = -26*g. Let d(t) be the third derivative of -1/72*t**4 + 1/180*t**5 + g + 5*t**2 + 0*t**3 + 0*t. What is n in d(n) = 0?
0, 1
Let y(d) = d**4 + d**3 - d - 1. Let o = -14 - -2. Let i(c) = -3*c**4 - 8*c**3 + 5*c**2 + 2*c + 4. Let v(n) = o*y(n) - 3*i(n). Factor v(h).
-3*h*(h - 2)*(h - 1)**2
Let a(p) be the third derivative of 0*p**4 - 1/42*p**7 + 0*p**3 - 1/12*p**5 + 0*p - 1/12*p**6 + 30*p**2 + 0. Suppose a(j) = 0. What is j?
-1, 0
Suppose -n + 44 = 5*i, -2*i + 2*n = -4*i + 24. Suppose 4 + i*u + 2*u**4 - 8*u**3 + 5 + 2*u**4 - 13 = 0. Calculate u.
-1, 1
Suppose 2*z - 38 = -5*j - 41, 0 = j + 1. Determine x so that -z - 4/3*x**3 - 17/3*x**2 - 16/3*x = 0.
-3, -1, -1/4
Let z(s) = 4*s**2 - 2*s - 10. Let d(f) = -11*f**2 + 57 - 3*f**2 - 7*f**2 + 11*f - 6. Let c(w) = -2*d(w) - 11*z(w). Factor c(a).
-2*(a - 2)*(a + 2)
Solve 3 - 7 - 8512*l - l**2 + 8517*l = 0.
1, 4
Suppose -54*h = -53*h - 2. Let 17*c - 980*c**h + 38*c - 210*c - 5 + 15*c = 0. What is c?
-1/14
Let n(p) be the first derivative of 4*p**5/5 + p**4 - 64*p**3/3 + 40*p**2 - 70. Factor n(w).
4*w*(w - 2)**2*(w + 5)
Factor -8/5 + a**2 + 1/5*a**3 + 2/5*a.
(a - 1)*(a + 2)*(a + 4)/5
Let t(l) = -19*l**2 - 880*l - 24167. Let g(r) = 5*r**2 + 220*r + 6041. Let x(n) = 22*g(n) + 6*t(n). Factor x(i).
-4*(i + 55)**2
Let -20*l**2 - 13*l**2 - 26*l**3 - 9*l**4 - 5 + 12*l**2 - 21*l + 0 - 13*l**2 - l**5 = 0. What is l?
-5, -1
Let m be ((-2)/(-90))/((-42)/(-70)). Let z(r) be the second derivative of 0 + 1/90*r**5 - m*r**3 + 1/54*r**4 + r - 1/9*r**2. Factor z(d).
2*(d - 1)*(d + 1)**2/9
Let o be 72/5 - -12*(-4)/120. Let r be -3 + (-27)/o*-6. Solve 12/7 + r*f + 75/7*f**2 = 0 for f.
-2/5
Solve 3*t**2 - 2589*t**3 - 99 + 15 - 88*t + 2588*t**3 - 28*t**2 = 0 for t.
-21, -2
Let r(j) = -36*j + 111. Let k be r(3). Factor 2/3*s + 2/9*s**k + 2/9 + 2/3*s**2.
2*(s + 1)**3/9
Let d(c) be the second derivative of -c**8/3360 + c**6/90 - 5*c**4/6 + 2*c. Let z(v) be the third derivative of d(v). Determine w, given that z(w) = 0.
-2, 0, 2
Let a = -2/1825 + 1843/16425. Let u(x) be the second derivative of 0*x**2 + 2*x + 2/9*x**3 + 0 - a*x**4. Let u(m) = 0. What is m?
0, 1
Let f(c) = -c**3 - 10*c**2 + 1. Let v be f(-10). Suppose 5*g - 11 = -v. Factor -9*t + 32 + t + g*t**2 - 8*t.
2*(t - 4)**2
Let g be (-1)/2*(9 + -9)/(-5). Find v, given that g*v + 2/9*v**4 + 2/9*v**2 - 4/9*v**3 + 0 = 0.
0, 1
Let m(x) = -16*x**4 + 30*x**3 - 24*x**2 + 2*x - 2. Let v(s) = 81*s**4 - 149*s**3 + 121*s**2 - 9*s + 11. Let k(w) = 22*m(w) + 4*v(w). Solve k(j) = 0 for j.
0, 2/7, 1
Let s(u) be the first derivative of -2*u**5/95 + 10*u**3/57 - 8*u/19 + 80. Determine o so that s(o) = 0.
-2, -1, 1, 2
Let i = -766 - -766. Let w(f) be the third derivative of 4*f**2 + 0*f**5 + 0 + 0*f - 1/420*f**6 + 0*f**3 + i*f**4. Factor w(q).
-2*q**3/7
Factor -14/23*p**3 - 8550/23*p - 2500/23 + 696/23*p**2.
-2*(p - 25)**2*(7*p + 2)/23
Let l(a) be the first derivative of 18 - 2/75*a**5 - 1/15*a**2 + 1/30*a**4 + 0*a + 2/45*a**3. Solve l(x) = 0 for x.
-1, 0, 1
Suppose 50*d - 89 - 11 = 0. Let l(z) be the first derivative of 8*z + d*z**2 - 4/3*z**3 + 9. Factor l(i).
-4*(i - 2)*(i + 1)
Let j(i) = 10*i - 14. Let w be j(16). Let z = w - 141. Factor 104/11*u**2 + 0 - 16/11*u - 180/11*u**3 + 250/11*u**z - 50/11*u**4.
2*u*(u + 1)*(5*u - 2)**3/11
Let r(v) = v + 9. Let o be r(-6). Suppose 2*m = 5*n + 4, 3*n + 6 = o*m + 2*n. Factor 1/4*t**m + 0 - 1/2*t.
t*(t - 2)/4
Let x be 55/(-2)*(-768)/(-80). Let n be (-8)/2 - (x/56 + -3). Factor n*i**2 - 12/7*i**3 + 2/7*i**4 + 8/7 - 24/7*i.
2*(i - 2)**2*(i - 1)**2/7
Let z(i) be the first derivative of -2*i**5/15 + 4*i**4/3 + 16*i**3/3 - 32*i**2/3 - 160*i/3 + 494. Find x such that z(x) = 0.
-2, 2, 10
Let v(o) = 3*o**2 - 5*o + 1. Let h(a) = -15*a + 6*a**2 + 2 + 10*a - 3*a**2. Let x(t) = -3*h(t) + 4*v(t). Let x(g) = 0. Calculate g.
-1/3, 2
Let t(s) be the first derivative of -8/57*s**3 + 0*s**2 - 2/19*s**4 + 5 - 2/95*s**5 + 0*s. Factor t(u).
-2*u**2*(u + 2)**2/19
Let q(w) be the second derivative of 0 + 0*w**4 + 0*w**3 + 0*w**2 - 1/40*w**6 + 10*w + 3/80*w**5. Factor q(o).
-3*o**3*(o - 1)/4
Factor -154 + 46 - 378*a + 2*a**3 - 37*a**3 - 29*a**3 + 14*a**3 - 360*a**2.
-2*(a + 6)*(5*a + 3)**2
Let x(a) be the first derivative of 3*a**4 - 3/5*a**5 + 32 + 0*a + 0*a**2 + 0*a**3. Find f, given that x(f) = 0.
0, 4
Let u(g) be the third derivative of -g**8/2688 - g**7/560 - g**6/960 + g**5/160 + g**4/96 + 29*g**2. Find n such that u(n) = 0.
-2, -1, 0, 1
Let w(r) be the second derivative of -3*r**6/25 - 21*r**5/25 + 131*r**4/30 - 36*r**3/5 + 28*r**2/5 - 3*r + 19. Suppose w(g) = 0. What is g?
-7, 2/3, 1
Let i(a) be the first derivative of 9 + 0*a - 5/2*a**2 - 1/3*a**3. Suppose i(w) = 0. What is w?
-5, 0
Let u(q) be the third derivative of q**9/7560 - q**8/3360 - q**7/1260 + q**6/360 + 5*q**4/3 + 35*q**2. Let a(t) be the second derivative of u(t). Factor a(o).
2*o*(o - 1)**2*(o + 1)
Let x(f) be the third derivative of 0*f + 2/33*f**3 - 1/330*f**5 - 26*f**2 + 0 + 1/132*f**4. Solve x(v) = 0 for v.
-1, 2
Let s(g) = -55*g**2 + 2700*g - 50540. Let w(z) = 8*z**2 - 386*z + 7220. Let d(f) = 3*s(f) + 20*w(f). Factor d(u).
-5*(u - 38)**2
Let u be (19/3)/((-780)/(-468)). Factor 42/5*x**3 + 3/5*x**5 + 19/5*x + 3/5 + 42/5*x**2 + u*x**4.
(x + 1)**3*(x + 3)*(3*x + 1)/5
Suppose 7*k + 264 = 299. Suppose 4*c + 24 = 4*j, j - 5*c = k*j + 12. Let 1/5*v - 2/5*v**j + 2/5 - 1/5*v**3 = 0. Calculate v.
-2, -1, 1
Let c(m) = 8*m**2 - m. Suppose 2*o + 16 = -2*o. Let u(n) be the third derivative of -n**5/60 + n**2. Let v(l) = o*c(l) - 36*u(l). Find s, given that v(s) = 0.
-1, 0
Let n = 4956 - 34684/7. Find d, given that -12/7*d**2 - 2/7*d**4 + n*d + 16/7 - 10/7*d**3 = 0.
-2, 1
Factor -2*d**2 + 262*d - 247 + 731 + 236*d - 10*d + 6*d**2.
4*(d + 1)*(d + 121)
Find r such that -50 + 79*r + 56*r - 20*r**4 + 103*r**2 + 153*r**2 - 6*r**2 + 45*r**3 = 0.
-2, -1, 1/4, 5
Let u(r) = -r**2 + r - 1. Let n(z) = -z**2 - 11*z + 2. Let o be -5*((-24)/(-15))/4. Let