 + 30*c - 30. Let m(q) = 13*s(q) - 6*y(q). Factor m(i).
-3*(i - 1)**2*(i + 2)*(i + 4)
Suppose 0 = -2*x - 4*f + 6, -4*x - f + 51 = -6*f. Suppose -36 = -x*o + 18. Suppose -8/3 - o*g**2 + 40/3*g = 0. Calculate g.
2/9, 2
Let b(w) be the second derivative of -w**7/315 - w**6/25 - 3*w**5/25 - 352*w. Factor b(x).
-2*x**3*(x + 3)*(x + 6)/15
Let r(i) be the first derivative of -2*i**5/5 + 2*i**4 - 2*i**3 - 4*i**2 + 8*i - 185. Determine x so that r(x) = 0.
-1, 1, 2
Let s(n) = n**3 - 5*n**2 - 6*n - 8. Let b be s(6). Let z be (b - -5)*(5/6 + -1). Suppose 1/2*g**2 - z + 0*g = 0. What is g?
-1, 1
Let t(f) = -3*f**3 - 2*f**2 + 5*f + 4. Let x(n) = 5*n**3 + 4*n**2 - 9*n - 7. Let j(m) = -7*t(m) - 4*x(m). Solve j(z) = 0 for z.
0, 1
Let q be (-16)/(-40) + 3189/(-35). Let w = 91 + q. Suppose 2/7 + w*x**2 - 4/7*x = 0. Calculate x.
1
Let k be 141/6*(2 + 288/(-3)). Let g = k + 6683/3. Factor 26/3*h**3 + 34/3*h + g*h**2 + 4/3.
2*(h + 1)**2*(13*h + 2)/3
Let k be (120/16 + -7)*0. Factor k + r**2 - 3/2*r**3 + 0*r + 1/2*r**4.
r**2*(r - 2)*(r - 1)/2
Suppose 20*m + 317 = 397. Factor -4/5*o**3 + 2/5*o + 0 + 0*o**2 + 2/5*o**5 + 0*o**m.
2*o*(o - 1)**2*(o + 1)**2/5
Let d(j) = -3*j**4 + 3*j**3 - 18*j**2. Let o(h) = h**4 - 2*h**3 + 3*h**2. Let s(r) = -3*d(r) - 12*o(r). What is z in s(z) = 0?
-1, 0, 6
Let g(u) = 7*u**4 - 532*u**3 + 4298*u**2 + 10268*u + 5399. Let f(c) = 2*c**4 - 177*c**3 + 1433*c**2 + 3423*c + 1799. Let s(b) = 8*f(b) - 3*g(b). Factor s(k).
-5*(k - 19)**2*(k + 1)**2
Let u(t) = -9*t**3 + 18*t**2 - 4*t - 3. Let g(a) = -2*a**2 + 1. Let p(w) = -15*g(w) - 5*u(w). Factor p(k).
5*k*(3*k - 2)**2
Suppose 5*f + 1 + 19 = 0. Let u = f + 7. Solve -u*d**3 - d**5 - 2 + d**3 + 2*d**4 - 8*d**2 + 7*d - 3*d**3 + 7*d**3 = 0 for d.
-2, 1
Let u be (-270)/80 + 3/8. Let r be 52/39 + -2*1/u. Determine z, given that -z - 5/2*z**r + 0 - 1/2*z**4 - 2*z**3 = 0.
-2, -1, 0
Let o be 6/(-14) - 192/42. Let s(y) = -2*y**2 + 14*y - 4. Let g(j) = -j**2 + 9*j - 3. Let x(k) = o*s(k) + 8*g(k). Let x(c) = 0. What is c?
-2, 1
Let k(a) = a**3 - a**2 + a + 1. Let i(t) = -8*t**3 + 9*t**3 + 5*t + 0*t - 2*t - 7*t**2 + 3. Let n(s) = 2*i(s) - 6*k(s). Factor n(z).
-4*z**2*(z + 2)
Let v(g) be the second derivative of 2/9*g**3 - 1/18*g**4 + 14*g + 0 + g**2. Find d, given that v(d) = 0.
-1, 3
Let w(j) be the third derivative of -j**5/210 + j**4/7 - 11*j**3/21 - 734*j**2. Solve w(t) = 0 for t.
1, 11
What is q in -64/5*q**2 - 4*q**3 - 2/5*q**4 + 0 - 64/5*q = 0?
-4, -2, 0
Solve 14*s - 2/3*s**3 - 40/3*s**2 + 0 = 0.
-21, 0, 1
Suppose g - 27 = -8*g. Let r(b) be the second derivative of 0*b**3 - g*b + 1/12*b**4 + 0 + 0*b**2 + 1/20*b**5. Determine o so that r(o) = 0.
-1, 0
Let j = 7 - 2. Let q(v) be the first derivative of -2/15*v - j + 2/15*v**2 - 2/45*v**3. Factor q(i).
-2*(i - 1)**2/15
Let z(y) = -y**3 + y**2 - y - 1. Let q be z(-1). Let a be ((-2 - -2)/2)/(37/(629/(-68))). Factor 1/2*v**4 - 1/2*v**3 + 0 + a*v - v**q.
v**2*(v - 2)*(v + 1)/2
Let j = -15 - -19. Let h(p) = 19*p**2 + 18*p - 5. Let f(a) = -10*a**2 - 9*a + 2. Let y(o) = j*h(o) + 7*f(o). Factor y(x).
3*(x + 2)*(2*x - 1)
Let f(a) be the third derivative of a**8/1176 - a**6/140 + a**5/105 + 107*a**2. Solve f(n) = 0 for n.
-2, 0, 1
Let w(q) = -3*q**3 + 3*q**2 - 9*q + 9. Let y(u) = u**2 - u + 1. Let c be 7 + (-3)/(-3) + -4. Let m be 1*(c + (2 - 5)). Let t(z) = m*w(z) - 9*y(z). Factor t(g).
-3*g**2*(g + 2)
Let u be (0/4 + 14/(-56))*-2. Factor -u*o**2 - 2*o - 2.
-(o + 2)**2/2
Solve -10/7*b - 25/7 - 1/7*b**2 = 0 for b.
-5
Let t be 168/(-196)*(-1 - 20/8). Let -3/2*h**2 + 9/2*h**3 + 0 - 3/2*h + t*h**5 + 15/2*h**4 = 0. Calculate h.
-1, 0, 1/2
Let h(q) be the second derivative of -q**5/100 - 59*q**4/10 - 6962*q**3/5 - 821516*q**2/5 + 370*q. Suppose h(i) = 0. What is i?
-118
Let x(o) be the third derivative of -o**8/3024 - 8*o**7/945 + o**6/30 - o**5/270 - 35*o**4/216 + o**3/3 + o**2 - 44*o. Determine z, given that x(z) = 0.
-18, -1, 1
Factor -162*d - 68/9*d**4 - 432*d**2 - 2/9*d**5 + 2916 - 92*d**3.
-2*(d - 2)*(d + 9)**4/9
Let q(a) be the second derivative of -a**4/15 - 848*a**3/15 - 89888*a**2/5 - 35*a + 4. Suppose q(v) = 0. Calculate v.
-212
Let p(d) be the first derivative of d**4/4 - 13*d**3/9 - 26*d**2/3 - 28*d/3 - 53. Factor p(x).
(x - 7)*(x + 2)*(3*x + 2)/3
Suppose -40/3*i - 200/3 - 2/3*i**2 = 0. What is i?
-10
Let a be -10 + 11 + 24/(-26). Let y(h) be the first derivative of -3 + 6/65*h**5 + 0*h + 2/39*h**3 - 5/26*h**4 + a*h**2. Find x such that y(x) = 0.
-1/3, 0, 1
Let m(x) be the first derivative of -1/2*x**4 + x - 4/3*x**3 + 1/3*x**6 + 0*x**2 + 3/5*x**5 - 5. Factor m(r).
(r - 1)*(r + 1)**3*(2*r - 1)
Let y = -2684 + 2687. Suppose 2/15*g**4 - 2/3*g**y + 0 + 2/5*g**5 + 4/15*g - 2/15*g**2 = 0. Calculate g.
-1, 0, 2/3, 1
Let u(k) be the third derivative of k**6/360 + k**5/120 - 7*k**3/6 + 14*k**2. Let y(i) be the first derivative of u(i). Factor y(a).
a*(a + 1)
Let r(q) be the first derivative of -q**3/6 - 53*q**2 - 5618*q + 385. Determine f so that r(f) = 0.
-106
Let j(y) = y**2 + 15*y - 150. Let z be j(-22). Let b(i) be the first derivative of 0*i**2 + 5 - 2/11*i**z + 2/33*i**3 + 0*i + 6/55*i**5. Factor b(k).
2*k**2*(k - 1)*(3*k - 1)/11
Let -4*i**2 - 28/5*i - 12/5 - 4/5*i**3 = 0. Calculate i.
-3, -1
Let c = 243/58 + 2525/754. Solve 0*k + c*k**5 - 8/13*k**3 + 0 - 196/13*k**4 + 16/13*k**2 = 0 for k.
-2/7, 0, 2/7, 2
Let y(h) be the third derivative of -3/16*h**4 + 2 - h**2 + 9/4*h**3 + 0*h + 1/160*h**5. Solve y(l) = 0 for l.
6
Factor -4/9 - 80/9*h**2 - 38/9*h**3 - 46/9*h.
-2*(h + 1)**2*(19*h + 2)/9
Let h = 11785 - 11782. Let -10/11*y**4 - 10/11*y**h + 50/11*y**2 + 32/11 + 2/11*y**5 + 80/11*y = 0. What is y?
-1, 4
Let h(m) be the first derivative of -4*m**3/3 + m**2 + 6*m + 107. Suppose h(f) = 0. What is f?
-1, 3/2
Let q(v) be the third derivative of 1/20*v**4 + 0 - 1/200*v**6 - 1/100*v**5 - 25*v**2 + 0*v**3 + 0*v. Determine t, given that q(t) = 0.
-2, 0, 1
Let s be (-11)/(220/24)*(-60)/36. Factor 0 - 2/5*z**3 + 4/5*z**s - 2/5*z.
-2*z*(z - 1)**2/5
Let 0 - 2/3*r**3 - 28/3*r - 6*r**2 = 0. What is r?
-7, -2, 0
Suppose 0 = -3*d + 26 + 19. Let c be 69/270*3 - 9/d. Let c*x**2 - 2/3 + 1/6*x**3 - 2/3*x = 0. Calculate x.
-2, -1, 2
Let y = -14 - -18. Suppose -c + 4*j = -23, 3*c - y*j = j + 34. Factor o**3 + 0*o**2 + o**2 + 4*o**3 - 3 - c*o**4 - 5*o + 5.
-(o - 1)**2*(o + 1)*(3*o - 2)
Let z(a) be the third derivative of -a**8/32760 + a**7/32760 + 13*a**5/60 + 6*a**2. Let m(u) be the third derivative of z(u). Let m(l) = 0. Calculate l.
0, 1/4
Let l(t) be the second derivative of 5*t**4/24 + 35*t**3/12 - 45*t**2/2 + 4*t + 15. Let l(q) = 0. Calculate q.
-9, 2
Let i be (-42)/539*-33 - 2/1. Let -2/7 - 2/7*w**2 + i*w = 0. Calculate w.
1
Suppose s - 48 = -s. Let n be ((-9)/(-6))/(6/s). Factor -4*v - 2*v**3 - n*v**2 + 9*v**3 - 9*v**3.
-2*v*(v + 1)*(v + 2)
Suppose -2*n = -2 - 66. Suppose 35*p = n*p + 6. Factor -p - 6*i - 3/2*i**2.
-3*(i + 2)**2/2
Let g(c) be the third derivative of 0*c + 23/360*c**6 + 26*c**2 - 2/105*c**7 - 1/24*c**4 + 0 + 7/90*c**5 - 1/9*c**3 - 5/252*c**8. Let g(o) = 0. What is o?
-1, -1/2, 2/5, 1
Suppose -4*a + 3*z = -40 - 57, 0 = -4*z - 12. Let w(f) = -f + 26. Let x be w(a). Factor 9/4*n**x - 3/4 - 3/2*n**3 - 3/4*n**5 + 9/4*n - 3/2*n**2.
-3*(n - 1)**4*(n + 1)/4
Let o(d) be the second derivative of d**7/189 + d**6/135 - d**5/10 - 13*d**4/54 + 8*d**3/27 + 4*d**2/3 - 9*d + 1. Suppose o(v) = 0. What is v?
-2, -1, 1, 3
Suppose -3 - 4*f + 1/9*f**4 - 2/3*f**2 + 4/9*f**3 = 0. Calculate f.
-3, -1, 3
Suppose -4*x + t - 1 = 0, -x + t = -4*x + 1. Find d such that 0*d + x - 4/5*d**3 - 2/5*d**4 - 2/5*d**2 = 0.
-1, 0
Suppose 9*p**4 - 4*p + 16 + 182*p**3 - 7*p**4 - 18*p**2 - 178*p**3 = 0. What is p?
-4, -1, 1, 2
Let u be 14/63 - (-215)/45. Let s(p) be the second derivative of 3/2*p**3 + p**2 - 9/20*p**u + 0 - 1/6*p**4 - 2*p. Suppose s(k) = 0. What is k?
-1, -2/9, 1
Let n(x) be the first derivative of 3*x**5/40 - 15*x**4/32 + x**3 - 3*x**2/4 - 100. Factor n(y).
3*y*(y - 2)**2*(y - 1)/8
Suppose -2*k = -4*x + 16, -4*x + 2 = k - 8. Factor 6*q**2 + 7*q - q**x + 4*q**3 - 9*q - 7*q.
3*q*(q - 1)*(q + 3)
Suppose -3*y = i + 25, -i - 9*y - 35 = -4*y. Let c be 20/40 - 21/i. Find q such that c*q**3 + 0 + 12/5*q**2 + 1/5*q**5 + 4/5*q + 6/5*q**4 = 0.
-2, -1, 0
Let u = -4549/7 + 650. Factor 6/7*g