= 0.
-1/4, 8
Suppose 0 = 3*c - 0*o - 2*o - 65, -4*o = c - 45. Suppose 0 = 5*q - 2*p - 21, 4*p + p = -3*q + c. What is t in 2*t**2 + 4*t**2 - 3*t**2 - q*t**2 = 0?
0
Let i(c) = c**2 + c - 4. Let r(f) be the first derivative of f**3/3 + 3*f**2/2 - 9*f - 12. Let w(x) = -10*i(x) + 4*r(x). Factor w(b).
-2*(b - 1)*(3*b + 2)
Let p = 68 + -58. Suppose -125 - p*t**2 + t**2 + 50*t + 4*t**2 = 0. What is t?
5
Let w = 3443 - 3440. Determine z so that -3/7*z**w + 0 - 1/7*z**2 + 0*z = 0.
-1/3, 0
Let q(t) = t**2 + 32*t - 112. Let z(d) = -3*d**2 + 95 - 13 - 15*d + 143 - 48*d. Let p(b) = 9*q(b) + 4*z(b). Factor p(l).
-3*(l - 6)**2
Let r be ((-852)/2485)/(2/5) - 184/(-84). Let -g**3 - 1/3*g + 0 - r*g**2 = 0. Calculate g.
-1, -1/3, 0
Let i(c) = c**2 + c. Let d(p) = -23*p**2 - 80*p + 24. Let x(s) = -d(s) - 2*i(s). Factor x(f).
3*(f + 4)*(7*f - 2)
Let h(x) = x**2 + 4*x + 2. Let o be h(-4). Factor 0*q**4 + 2*q**2 - 6*q**4 + 6*q**3 + 8*q**4 + o*q**4.
2*q**2*(q + 1)*(2*q + 1)
Let i(p) be the third derivative of -p**7/60 - p**6/90 + 7*p**5/60 + p**4/6 + 2*p**3 + p**2. Let c(g) be the first derivative of i(g). Factor c(f).
-2*(f - 1)*(f + 1)*(7*f + 2)
Let x(h) be the second derivative of h**6/330 - h**5/220 - h**4/12 + 3*h**3/22 + 9*h**2/11 + 153*h. Suppose x(t) = 0. Calculate t.
-3, -1, 2, 3
Determine i, given that -129*i**2 + 765*i**3 + 30*i**2 + 867*i**4 + 1853*i - 1850*i = 0.
-1, 0, 1/17
Let c be 6 + -25 + 9 + 13. Let c*z**5 + 0*z - 3*z**3 - 6/5*z**4 + 0 + 6/5*z**2 = 0. Calculate z.
-1, 0, 2/5, 1
Let h(q) be the third derivative of -4*q**2 - 1/20*q**5 - 25/2*q**3 + 0*q + 0 + 5/4*q**4. Solve h(v) = 0.
5
Let w be -5 + 4 + 0 - (-1730)/1725. Let u = 2077/2415 - w. Factor 0 + u*d + 2/7*d**2.
2*d*(d + 3)/7
Let j be (1 - (1 - 2)) + -8. Let v be ((-4)/j)/(3/9). Factor -4*u**3 - 4*u**v - 2*u**5 + 4*u**4 + 2*u**5 + 4*u**5.
4*u**2*(u - 1)*(u + 1)**2
Let o be (-26 - (-48 + 10))/((-38)/(-1)). Determine g so that 0 + 4/19*g**3 + 2/19*g - o*g**2 = 0.
0, 1/2, 1
Suppose 4*x = -x - 2*t, 0 = 2*x - 2*t. Let y(k) be the second derivative of -1/9*k**3 + x + 1/18*k**4 + 0*k**2 - 6*k. Factor y(d).
2*d*(d - 1)/3
Factor -71 - 3*d**2 + 113*d + 3 + 0*d**4 - 31*d**3 - 18*d + d**4 + 6.
(d - 31)*(d - 1)**2*(d + 2)
Suppose 57*d - 52*d + 360 = 0. Let h be d/(-56) + (1 + -1 - 1). Solve -h*g**3 - 4/7*g**2 + 0*g + 0 = 0.
-2, 0
Suppose -4 = -2*r + 10. Find o such that 20*o - o**4 - 8 - 166*o**2 + r*o**3 + 289*o**2 - 141*o**2 = 0.
1, 2
Find m, given that 4*m - 4*m**3 - 6 + 2/3*m**4 + 16/3*m**2 = 0.
-1, 1, 3
Let j = -1101 + 2205/2. Factor j*b + 2 - 1/2*b**2.
-(b - 4)*(b + 1)/2
Suppose -27*l - 20 - 14 = -44*l. Determine z so that -2/11*z**3 + 0 - 2/11*z**5 - 6/11*z**4 + 4/11*z + 6/11*z**l = 0.
-2, -1, 0, 1
Let s = -106 - -101. Let m be (-1)/3 - s/6. Find u, given that m*u**2 + 3/4*u**5 + 0*u - 1/2*u**4 - 3/4*u**3 + 0 = 0.
-1, 0, 2/3, 1
Let l = 1164 - 1164. Solve -2/3*v**2 + l + 2/9*v = 0.
0, 1/3
Let s = 814/435 - 128/87. Factor -2/15*p**4 - 2/15*p + 0 - s*p**3 - 2/5*p**2.
-2*p*(p + 1)**3/15
Suppose 0 = -18*x + 8*x + 15480. Let g be x/301 + 6/(-2). Factor 3/7*v**4 - g*v**3 + 18/7*v**2 + 12/7*v - 24/7.
3*(v - 2)**3*(v + 1)/7
Let q be 5/((-20)/(-16)) + (22 - 24). Let t(w) be the first derivative of 0*w - 1/3*w**3 - 1/2*w**q - 11. Suppose t(y) = 0. What is y?
-1, 0
Let k(p) be the third derivative of -16/21*p**3 + 0 - p**2 + 1/735*p**7 + 0*p + 2/21*p**4 + 1/14*p**5 - 2/105*p**6. Determine v, given that k(v) = 0.
-1, 1, 4
Let q(c) = c**2 - 2*c + 4. Let g(f) be the second derivative of f**4/4 - 5*f**3/6 + 11*f**2/2 - 3*f. Let k(u) = -4*g(u) + 11*q(u). Factor k(x).
-x*(x + 2)
Let s(i) be the second derivative of i**4/27 - 4*i**3/27 - 16*i**2/9 - i + 103. Factor s(y).
4*(y - 4)*(y + 2)/9
Let h = 133 - 133. Let q(c) be the second derivative of -4/7*c**2 - 1/105*c**6 - 4/21*c**3 + h + 5*c + 1/35*c**5 + 1/14*c**4. Factor q(u).
-2*(u - 2)**2*(u + 1)**2/7
Let t(q) be the third derivative of -q**6/240 - 31*q**5/120 - 13*q**4/2 - 84*q**3 - 23*q**2 - 3*q. Factor t(a).
-(a + 7)*(a + 12)**2/2
Suppose -707 = -2*s + 3*i, s - 1773 = -4*s + 2*i. Let g = s + -352. Factor 0 + 1/6*n**g + 1/3*n**2 + 1/6*n.
n*(n + 1)**2/6
Let m(q) be the first derivative of 14 - 3/4*q + 1/3*q**3 - 1/4*q**2 + 1/8*q**4 - 1/20*q**5. Find f, given that m(f) = 0.
-1, 1, 3
Let w(z) be the first derivative of 2*z**6/3 - 24*z**5/5 + 12*z**4 - 40*z**3/3 + 6*z**2 - 40. Factor w(m).
4*m*(m - 3)*(m - 1)**3
Let p(t) be the first derivative of 4/9*t**3 + 0*t**4 - 2/3*t + 29 - 2/15*t**5 + 0*t**2. Solve p(b) = 0 for b.
-1, 1
Let r(i) be the second derivative of 3*i**5/100 - 18*i**4 + 4320*i**3 - 518400*i**2 - 8*i - 21. Factor r(z).
3*(z - 120)**3/5
Factor -1/5*f**3 + 0 + 32/5*f**2 + 0*f.
-f**2*(f - 32)/5
Let k be (-66)/(-15) - ((-30)/25)/(-3). Let i(x) be the second derivative of -1/5*x**5 - 32*x**3 + 0 + k*x**4 + 128*x**2 + 2*x. Let i(p) = 0. What is p?
4
Let f = 4132 + -28920/7. Find h such that 2/7 - 4/7*h**3 + 6/7*h - 6/7*h**4 + f*h**2 - 2/7*h**5 = 0.
-1, 1
Let u(p) be the second derivative of -p**8/4200 - p**7/525 - p**6/225 + 4*p**3 + 4*p - 1. Let l(f) be the second derivative of u(f). Factor l(g).
-2*g**2*(g + 2)**2/5
Determine w so that 4/11*w - 2/11*w**5 + 16/11 + 10/11*w**4 - 2/11*w**3 - 26/11*w**2 = 0.
-1, 1, 2, 4
Suppose 0 = -4*j + 3*j + 1. Let h be 0/(-1 + 4 - j). Factor 3*t**3 - 3*t**2 + 0*t**3 + h*t**2 + 3*t**4 - 3*t.
3*t*(t - 1)*(t + 1)**2
Let g(n) = -4*n**3 + 6*n**2 + 10*n + 3. Let o(a) = 3*a**3 - 4*a**2 - 9*a - 4. Let x(c) = -2*g(c) - 3*o(c). Find u, given that x(u) = 0.
-2, -1, 3
Let -3/5*l**2 + 21/5 - 18/5*l = 0. What is l?
-7, 1
Suppose 4*g - 30 = 2*d, 2*g + 3*d + 15 = -2*d. Determine i so that -6*i**2 + g*i + 3*i**2 + 8*i**2 = 0.
-1, 0
Factor -20*b - 2/15*b**2 - 750.
-2*(b + 75)**2/15
Find c such that 8/11*c**4 + 0 + 0*c + 12/11*c**2 - 2/11*c**5 + 2*c**3 = 0.
-1, 0, 6
Let q(f) = -f**3 - 6*f**2 + 6*f - 6. Let p be q(-7). Let v = -1 + p. Factor 3 + y - 3*y**4 + 6*y**3 + v*y - 5*y - 2*y.
-3*(y - 1)**3*(y + 1)
Suppose -3*g = y - 54, g + 5*y - 27 = -9. Let -12*j**2 + 3*j**5 - j**5 - 7*j**3 - 18*j - 6*j**4 + g*j**4 + 23*j**3 = 0. Calculate j.
-3, -1, 0, 1
Suppose -3 = 3*k, 2*f + 2 = -7*k + 5*k. Solve -1/8*z**2 + 0*z + f = 0 for z.
0
Let p(u) be the first derivative of u**4/6 - 7*u**3/3 + 6*u**2 - 47*u - 31. Let j(k) be the first derivative of p(k). Factor j(i).
2*(i - 6)*(i - 1)
Let b(h) be the third derivative of -h**5/20 + 7*h**4 - 392*h**3 - 4*h**2 + 1. Factor b(l).
-3*(l - 28)**2
Let u = 725 - 723. Let d(c) be the second derivative of 8*c + 0 + 3/5*c**5 + 1/14*c**7 - 2/5*c**6 + 0*c**u + 0*c**4 + 0*c**3. Find a such that d(a) = 0.
0, 2
Suppose 5*p + 4*x - 14 = 0, 4*x - 17 + 13 = 0. Solve 2*y**3 + 22/3*y**p + 22/9*y - 4/3 - 14/9*y**4 = 0 for y.
-1, 2/7, 3
Let z(y) be the third derivative of -9*y**2 + 10/3*y**3 + 0*y + 0 + 0*y**4 - 1/12*y**5. Determine s so that z(s) = 0.
-2, 2
Let u(m) be the second derivative of -m**9/15120 - m**8/2240 - m**7/1260 - m**4/3 - 4*m. Let n(y) be the third derivative of u(y). Factor n(h).
-h**2*(h + 1)*(h + 2)
Find c such that -2*c - 2/7*c**2 - 20/7 = 0.
-5, -2
Let g(w) be the second derivative of -w**4/18 + 4*w**3/3 + 13*w**2/3 + 195*w. What is k in g(k) = 0?
-1, 13
Let h(x) be the first derivative of x**3/3 + 61*x**2 + 3721*x + 402. Factor h(d).
(d + 61)**2
Let l be (2 - (-9)/(-2))*2. Let q(p) = p**3 + 4*p**2 - 5*p + 3. Let d be q(l). Find k such that d*k**3 - 2*k + 0*k + 3*k**4 - 13*k - 6 - 9*k**2 = 0.
-1, 2
Let m be (-440)/200 + 1/5. Let l(w) = w**3 + 4*w**2 + 10*w + 14. Let x be l(m). Suppose 1/3*y**x + 0 + 1/3*y = 0. Calculate y.
-1, 0
Let d(k) be the second derivative of k**4/32 - 3*k**3/16 + 8*k - 11. Factor d(x).
3*x*(x - 3)/8
Let s(m) = 17*m**3 + 5*m**2 + 11. Let f(r) = 6*r**3 + 2*r**2 + 4. Let u(b) = 3*b - 4. Let j be u(0). Let n(c) = j*s(c) + 11*f(c). Factor n(k).
-2*k**2*(k - 1)
Let o(l) = 88*l**3 - l + 1. Let s be o(1). Let x = -86 + s. Factor -8/5 - 2/5*y**x - 8/5*y.
-2*(y + 2)**2/5
Suppose 1 + 7 = k. Suppose -l - j - k = -3*l, 3*l = 5*j - 2. Solve 3*s**2 - 8*s**2 + 0*s**2 + l*s + 2*s**2 = 0.
0, 2
Let r(d) be the first derivative of -d**4/4 - d**3/3 - d**2/2 + 3*d - 4. Let k be r(0). Factor 4*g**3 - 3*g**k - 2*g + g**3.
2*g*(g - 1)*(g + 1)
Let s be 18/4*(42/9 + -4). Suppose 7*v - s*v - 4*g = 16, -3