-1, 0
Suppose f = -4*f. Suppose f = 6*c - 9 - 3. Let -8/9 - 2/9*i**c - 8/9*i = 0. Calculate i.
-2
Let l = -96 - -322. Suppose -l*h - 21 = -233*h. Factor -2/3*g**4 + 2/3*g**2 + 1/3*g**h - 1/3*g + 0.
-g*(g - 1)*(g + 1)*(2*g - 1)/3
Let f(m) be the first derivative of -5*m**6/2 + 4*m**5 + 5*m**4/4 - 10*m**3/3 + 63. Factor f(u).
-5*u**2*(u - 1)**2*(3*u + 2)
Let z(u) = -6*u**2 - 19*u - 4. Let w(q) = -8*q + 13 + 82*q + 17*q**2 - 16*q. Let l(b) = -3*w(b) - 8*z(b). Factor l(h).
-(h + 7)*(3*h + 1)
Let o = -11170 + 11172. Let r be 1/(-3*(-3)/36). Factor 8/3*w + 16/3*w**o + 0 + 2/3*w**r + 10/3*w**3.
2*w*(w + 1)*(w + 2)**2/3
Suppose -7*p - 4*u = -4*p + 5, 5 = 5*u. Let g be 81/180*(-8)/p. Factor -g*n**4 + 0*n + 0*n**2 - n**5 - 1/5*n**3 + 0.
-n**3*(n + 1)*(5*n + 1)/5
Let y(b) = 3*b**2 - 6*b - 1. Let t(l) = 4*l**2 - 7*l - 2. Let g = 80 + -76. Let u(s) = g*t(s) - 5*y(s). Determine n so that u(n) = 0.
-3, 1
Let l(z) = -8*z - 2*z**2 - 5*z**3 + z**3 + 3 + 4*z**3 + z**3. Let o be l(4). Suppose 0 + 2/9*h**4 + 2/9*h**2 - 4/9*h**o + 0*h = 0. What is h?
0, 1
Let t(u) be the third derivative of u**7/420 - u**6/80 - u**5/24 + u**4/16 + u**3/3 + 147*u**2. Factor t(x).
(x - 4)*(x - 1)*(x + 1)**2/2
Let y(q) = -q**3 - 519*q**2 + 1026*q - 506. Let u(b) = -261*b**2 + 513*b - 252. Let z(t) = -5*u(t) + 3*y(t). Let z(c) = 0. Calculate c.
-86, 1
Let 88*a - 138/7*a**2 - 8/7*a**3 + 1/7*a**4 + 847 = 0. What is a?
-7, 11
Let n be (-26)/(-52) + (-57)/(-30). Let i(c) = c**2 - 5*c + 3. Let k be i(5). Suppose -24/5*x - 3/5*x**k - 3*x**2 - n = 0. Calculate x.
-2, -1
Factor -2/3*z**2 + 2/3*z - 1/6.
-(2*z - 1)**2/6
Let t = 257 + -155. Factor 2*f**2 - 2*f**2 - 5*f**3 + 107*f - t*f.
-5*f*(f - 1)*(f + 1)
Solve 143*l - 315 - 43*l**3 - 45*l**3 - 65*l**2 + 112*l + 93*l**3 = 0 for l.
3, 7
Factor 0 - 8*d + 28/5*d**2 - 4/5*d**3.
-4*d*(d - 5)*(d - 2)/5
Let o(h) be the second derivative of h**7/18900 - h**5/900 - 13*h**4/12 + 9*h. Let p(d) be the third derivative of o(d). Factor p(l).
2*(l - 1)*(l + 1)/15
Let b(p) = 2*p**3 + p**2 + p - 1. Let h(a) = 13*a**3 + 118*a**2 - 4100*a + 50646. Let v(g) = -28*b(g) + 4*h(g). Factor v(y).
-4*(y - 37)**3
Let d(r) be the third derivative of 2*r**7/315 - 2*r**5/45 + 2*r**3/9 - r**2 + 7. Factor d(j).
4*(j - 1)**2*(j + 1)**2/3
Find i such that -361*i - 166*i - 5*i**2 - 185*i + i**2 - 31684 = 0.
-89
Let j be (9/12)/(5 + 385/(-80)). Solve -1/5*r**5 + 0 + 1/5*r**3 - 1/5*r**j + 1/5*r**2 + 0*r = 0 for r.
-1, 0, 1
Let u = 9824 - 19647/2. Factor 4 + u*n**3 + 6*n + 3*n**2.
(n + 2)**3/2
Let w = -3768 - -41454/11. Factor -w*c + 0 + 2/11*c**2.
2*c*(c - 3)/11
Let f(q) = 9*q**3 - 92*q**2 + 164*q - 29. Let u(l) = 9*l**3 - 92*l**2 + 164*l - 28. Let s(c) = 4*f(c) - 3*u(c). Factor s(t).
(t - 8)*(t - 2)*(9*t - 2)
Suppose -11/8*c + 1/8*c**2 - 3/2 = 0. What is c?
-1, 12
Suppose 2*q - 3 = 1. Let l be q/12 - (-69)/18. Find b such that 3 - 2 + 4*b**3 - 6*b**2 - b**l + 4*b - 2 = 0.
1
Let w(a) = -a**3 + 4*a**2 + 14*a - 8. Let m = 0 + 6. Let t be w(m). Let 27/2*n**t - 27/2*n**5 - 1/2 - 7/2*n + 9*n**3 - 5*n**2 = 0. Calculate n.
-1/3, 1
Let v be (-2 + 1)/(4/(-56)). Let p = v + -11. Let 5*u**2 - 2*u**2 + 3*u**2 - p*u**4 - 3*u**3 = 0. What is u?
-2, 0, 1
Let t(l) be the third derivative of l**7/7980 + l**6/1140 - l**5/285 + l**3 + 3*l**2. Let x(o) be the first derivative of t(o). Suppose x(r) = 0. What is r?
-4, 0, 1
Let d(v) = 24*v**3 - 54*v**2 - 54*v - 17. Let b(q) = -8*q**3 + 18*q**2 + 18*q + 6. Let n(l) = 17*b(l) + 6*d(l). Suppose n(y) = 0. What is y?
-3/4, 0, 3
Suppose 0*w - 2*t = -2*w + 2, 1 = -w - t. Factor -82*r**2 - 100 - 2*r**3 - 90*r + 58*r**2 + w*r**3.
-2*(r + 2)*(r + 5)**2
Let d = 16278 - 130223/8. Factor -1/8*l + 1/8*l**3 - 1/8*l**4 + 0 + d*l**2.
-l*(l - 1)**2*(l + 1)/8
Let y be (8/2)/((-30)/(-15)). Suppose -6 = -8*g + 5*g + 5*l, g + 2*l = y. Let -8/9*j**g + 0 + 2/3*j = 0. Calculate j.
0, 3/4
Let b(q) be the second derivative of -38*q + 0*q**5 + 1/75*q**6 + 0*q**2 - 1/315*q**7 + 0 + 0*q**3 - 2/45*q**4. Factor b(g).
-2*g**2*(g - 2)**2*(g + 1)/15
Let h(c) = c**3 + 7*c**2 - c - 3. Let k be h(-7). Let y be 21/(-14)*k/(-9). What is i in 4/3*i**2 - 2*i + y = 0?
1/2, 1
Let x(l) be the second derivative of -l**7/105 - l**6/10 + 8*l**4/3 - 5*l**2 - 5*l. Let h(k) be the first derivative of x(k). Suppose h(d) = 0. What is d?
-4, 0, 2
Let r(s) be the first derivative of 2*s**3/33 - 87*s**2/11 + 172*s/11 - 140. Let r(u) = 0. What is u?
1, 86
Let w be 16/(-72) - 80/(-36). Suppose 0 = 3*u - 5*z - 9, 0 = w*u + 19*z - 23*z - 6. Solve 2/7*f**u - 4/7*f**2 + 2/7*f + 0 = 0.
0, 1
Let p(y) be the second derivative of -6*y - 1/36*y**4 - 25/6*y**2 + 0 - 5/9*y**3. Solve p(l) = 0.
-5
Let w(h) = h + 19. Let b be w(-19). Let j(o) be the third derivative of 5/3*o**4 + b*o - 3/10*o**5 + o**2 - 4/3*o**3 + 0. Suppose j(f) = 0. What is f?
2/9, 2
Let q(b) = 44*b**2 - 104*b + 172. Let f(g) = 16*g**2 - 35*g + 57. Let y(i) = -8*f(i) + 3*q(i). Factor y(h).
4*(h - 5)*(h - 3)
Factor 441/5 + 42/5*k + 1/5*k**2.
(k + 21)**2/5
Let m(a) be the first derivative of -a**3/9 - 47*a**2 - 6627*a - 390. Factor m(j).
-(j + 141)**2/3
Let f(t) = t**2 + 58*t - 130. Let a(c) = -4*c**2 - 231*c + 523. Let r(o) = -4*a(o) - 18*f(o). Let r(l) = 0. Calculate l.
-62, 2
Let v(w) be the first derivative of 2*w**5/35 + 4*w**4/7 + 40*w**3/21 + 16*w**2/7 - 66. Factor v(c).
2*c*(c + 2)**2*(c + 4)/7
Let m(w) be the third derivative of w**5/30 - 35*w**4/12 + 22*w**3 - 23*w**2 - 2*w. Find y such that m(y) = 0.
2, 33
Let i(s) = s**3 + 2*s**2 - 5*s - 4. Let o be i(-3). Suppose o*c - 6 = -2*k - k, -2*k = 5*c - 15. Factor k*h**2 + 4*h**2 - 2*h - 7*h**3 + 5*h**2.
-h*(h - 1)*(7*h - 2)
Let r = 277 - 8309/30. Let b(u) be the third derivative of 1/24*u**4 + 0 - 1/120*u**6 + 1/3*u**3 - r*u**5 - 5*u**2 + 0*u. Factor b(x).
-(x - 1)*(x + 1)*(x + 2)
Let d(y) be the third derivative of -y**6/240 - 11*y**5/120 - 19*y**4/48 - 3*y**3/4 + 42*y**2. Find o, given that d(o) = 0.
-9, -1
Let o(y) be the second derivative of y**6/80 - 141*y**5/80 + 2209*y**4/32 + 157*y - 1. Let o(c) = 0. Calculate c.
0, 47
Suppose -37/7*h - 13/7*h**2 + 4/7*h**3 + 10/7 = 0. Calculate h.
-2, 1/4, 5
Let x(q) be the first derivative of 1/210*q**5 + 1/42*q**4 + 0*q + 1 + 3*q**2 - 1/7*q**3. Let g(n) be the second derivative of x(n). Solve g(a) = 0 for a.
-3, 1
Solve 26/7*q**2 + 12/7 + 38/7*q = 0 for q.
-1, -6/13
Let r(z) be the third derivative of 0 - 6*z**2 - 1/3024*z**8 + 0*z + 0*z**3 - 1/1890*z**7 + 0*z**4 + 1/540*z**5 + 1/1080*z**6. Find j, given that r(j) = 0.
-1, 0, 1
Suppose -o + 12 = -2*x, -33 = 5*o - 3*x - 107. Suppose 0 = 21*n - 13*n - o. Find j such that -4/9*j - 2/9 + 4/9*j**n + 8/9*j**3 - 2/9*j**4 - 4/9*j**5 = 0.
-1, -1/2, 1
Let h be -6 + -4 + 15 + 2. Let z(q) be the first derivative of -h - 3/2*q**3 - 3/10*q**5 + 3/4*q**2 + 9/8*q**4 + 0*q. Factor z(u).
-3*u*(u - 1)**3/2
Let a(u) = u**2 - u - 6. Let i be a(0). Let k be (-9)/i + 1/2. Factor -4*x + x**4 + 1 - 2*x + 6*x**3 - k*x**2 + 3 - 3*x**4.
-2*(x - 2)*(x - 1)**2*(x + 1)
Let 0*t + 16*t**2 - 1626*t**3 + 1622*t**3 + 0*t = 0. Calculate t.
0, 4
Let t(x) = -3*x**4 - 10*x**3 + 49*x**2 + 58*x - 7. Let w(a) = -3*a**4 - 9*a**3 + 48*a**2 + 60*a - 6. Let d(s) = -6*t(s) + 7*w(s). Factor d(y).
-3*y*(y - 4)*(y + 2)*(y + 3)
Let i(z) be the second derivative of -z**8/168 - 2*z**7/105 + z**5/15 + z**4/12 + 5*z**2/2 - 11*z. Let y(q) be the first derivative of i(q). Factor y(a).
-2*a*(a - 1)*(a + 1)**3
Factor 5 - 60*x + 25*x**2 + 5*x**4 + 15 + 15*x**2 - 30*x**3 + 25*x**2.
5*(x - 2)**2*(x - 1)**2
Solve -1/2*g**4 + 0 + g**2 + g + 1/4*g**5 - 3/4*g**3 = 0.
-1, 0, 2
Let r be (-52)/(-3) - 32/24. Solve -5*c**3 + 24*c + 32*c**2 - 3*c**3 - 77*c**4 + 4 - r*c**5 + 41*c**4 = 0 for c.
-1, -1/4, 1
Factor 163/4*v + 81/4 + 1/4*v**3 + 83/4*v**2.
(v + 1)**2*(v + 81)/4
Determine z so that 62/9*z + 2*z**3 - 8/3 - 2/9*z**4 - 6*z**2 = 0.
1, 3, 4
Let f be 0 - -4*3/6 - -3. Factor -10*r**2 - f*r**5 + 20*r**3 + 6*r - 53*r + 10 + 32*r.
-5*(r - 1)**3*(r + 1)*(r + 2)
Let w = -109 - -113. Let o(b) be the third derivative of -2*b**2 + 0*b**3 - 1/60*b**5 + 0*b**w - 1/240*b**6 + 1/420*b**7 + 0*b + 0. Factor o(i).
i**2*(i - 2)*(i + 1)/2
Let -86 + 13362*l**2 - 97*l - 13363*l**2 - 10 = 0. Calculate l.
-96, -1
Let u(j) be the second derivative of -j**5/10 + 5*j**4 + j**3/3 - 30*j**2 - 393