 1)**2
Suppose -33*l + 27*l = 0. Let u(t) be the third derivative of l*t**3 + 0*t + 4*t**2 + 0 + 1/4*t**4 - 1/40*t**6 - 1/20*t**5. Factor u(j).
-3*j*(j - 1)*(j + 2)
Let j(o) = 39*o + 78. Let h be j(-2). Let q(c) be the third derivative of h + 1/18*c**3 + 8*c**2 + 7/36*c**4 + 0*c + 49/180*c**5. Find f such that q(f) = 0.
-1/7
Suppose 0 = x + 6 - 10. Suppose -5*q = x*w + 12, 4*q - 1 + 10 = -3*w. Suppose q - 4/3*p**4 + 2/3*p**5 + 2/3*p**3 + 0*p + 0*p**2 = 0. Calculate p.
0, 1
Let p = -27 + 30. Determine l so that -4*l**p + 0*l**2 - 3*l - 5*l**2 - 8*l**2 = 0.
-3, -1/4, 0
Let x be (78/130)/(126/20). Let o(w) be the first derivative of -3/28*w**4 + 0*w**2 + 4 + 1/35*w**5 + x*w**3 + 0*w. Suppose o(y) = 0. What is y?
0, 1, 2
Let w(g) be the third derivative of g**5/240 - 7*g**4/96 - 3*g**3/4 - g**2 - 5*g. Solve w(t) = 0.
-2, 9
Let u(b) be the third derivative of 1/24*b**6 - 1/4*b**5 - 5/6*b**3 + 39*b**2 + 0*b + 5/8*b**4 + 0. Factor u(o).
5*(o - 1)**3
Factor -2/13*q**2 - 168/13 - 50/13*q.
-2*(q + 4)*(q + 21)/13
Let v(c) be the first derivative of 3*c**4/8 - 4*c**3/3 + 3*c**2/4 + c - 380. What is m in v(m) = 0?
-1/3, 1, 2
Let w = -1778 - -8916/5. Suppose 0 = u - 2. Factor -8/5 + w*s**2 - 8/5*s - u*s**3.
-2*(s - 2)*(s - 1)*(5*s + 2)/5
Let l(y) be the first derivative of -7*y**4/12 - 254*y**3/9 + 230*y**2/3 + 152*y/3 - 76. Find n, given that l(n) = 0.
-38, -2/7, 2
Let x(q) be the first derivative of 18/23*q + 33/23*q**2 + 80/69*q**3 - 20 + 8/23*q**4. Let x(y) = 0. What is y?
-1, -3/4
Let o(c) be the first derivative of -c**6/3 + 14*c**5/5 - 19*c**4/2 + 50*c**3/3 - 16*c**2 + 8*c + 194. Factor o(u).
-2*(u - 2)**2*(u - 1)**3
Let q(w) = w**2 - 13*w - 4. Let z be q(13). Let d = z + 6. Find p such that p**3 + 2*p**3 - 4*p**5 + d*p**5 - p**3 = 0.
-1, 0, 1
Let o be (-2)/3 + 50/75. Let v = -781/5 + 157. Factor -2/5*u + o + v*u**2 - 2/5*u**3.
-2*u*(u - 1)**2/5
Let x = -151 + 154. Let r(j) be the first derivative of 1/6*j**4 - 4/9*j - 5/9*j**2 + x + 8/27*j**3. Find b, given that r(b) = 0.
-2, -1/3, 1
Determine m, given that 8*m**2 + 5*m**3 - 4*m**3 + 3*m**3 - 4*m**2 = 0.
-1, 0
Let r(y) be the second derivative of y**6/10 - 3*y**5/10 + y**4/4 + 79*y. Factor r(x).
3*x**2*(x - 1)**2
Let l be (4/((-12)/5))/((-5)/18). Let w(o) be the second derivative of -1/8*o**4 + 1/10*o**5 - o + 0 + o**2 - 1/3*o**3 - 1/60*o**l. Factor w(s).
-(s - 2)**2*(s - 1)*(s + 1)/2
Factor -1/2 - 1/8*b**2 - 5/8*b.
-(b + 1)*(b + 4)/8
Factor 34*u + 27*u**3 - 28*u - 24*u + 75*u**2.
3*u*(u + 3)*(9*u - 2)
Let n(f) be the first derivative of 8/3*f - 8 - 2/3*f**2 - 4/9*f**3. Factor n(y).
-4*(y - 1)*(y + 2)/3
Let k(i) be the second derivative of 0*i**2 - 27*i - 1/20*i**4 - 3/10*i**3 + 0. Find a, given that k(a) = 0.
-3, 0
Solve 94*m**5 - 8*m**2 - 98*m**5 + m**4 + 7*m**4 + 4*m = 0.
-1, 0, 1
Let m(o) be the first derivative of -5/4*o**4 + 7 + 0*o**2 + 10/3*o**3 + 0*o. Factor m(d).
-5*d**2*(d - 2)
Let p(t) be the third derivative of 0*t + 7/20*t**5 + 3*t**3 + 23/8*t**4 - 12*t**2 + 0. Factor p(v).
3*(v + 3)*(7*v + 2)
Let p(h) = -33*h**3 - 588*h**2 + 1590*h - 1023. Let t(l) = -5*l**3 - 84*l**2 + 227*l - 146. Let g(n) = 4*p(n) - 27*t(n). Find q such that g(q) = 0.
1, 2, 25
Find o such that 0*o**2 - 44/5*o**4 + 0*o - 48/5*o**3 + 0 + 4/5*o**5 = 0.
-1, 0, 12
Let z(v) be the second derivative of -3*v**5/100 - 3*v**4/20 - v**3/5 + 9*v. Suppose z(s) = 0. What is s?
-2, -1, 0
Let d(y) = -7*y - 5 + 0 + 1 - 3. Let z be d(-1). Factor -4/3*p + z - 8/3*p**2 + 5/3*p**3.
p*(p - 2)*(5*p + 2)/3
Factor 19*l - 16 - 9 + 5*l - 2 - 3*l**4 + 30*l**2 - 24*l**3.
-3*(l - 1)**2*(l + 1)*(l + 9)
Let r(q) = 2*q**2 + 3*q + 13. Let t(d) = d**2 + 2*d + 6. Suppose 21 = -4*j - 39. Let c(o) = j*t(o) + 6*r(o). Determine y, given that c(y) = 0.
-2
Solve -24*t + 31*t + 41*t + 92 + 4*t**2 - 272 = 0 for t.
-15, 3
Determine b, given that -b**3 + 8/11 - 10/11*b - 29/11*b**2 = 0.
-2, -1, 4/11
Suppose -6*t - 251 = 889. Let x = -379/2 - t. Let -x - 5/8*n - 1/8*n**2 = 0. Calculate n.
-4, -1
Suppose -9 = -4*s - 57. Let k(c) = -c - 3. Let r be k(s). Factor -r*x**2 + 0 - 6 - 13*x - 8*x + 0.
-3*(x + 2)*(3*x + 1)
Let -3 - 51/4*j - 3*j**2 = 0. What is j?
-4, -1/4
Let k be (4/(-42))/((-10)/(-7) - 2). Determine y, given that -1/6*y**4 + 0*y**2 + k*y**5 + 0 + 0*y**3 + 0*y = 0.
0, 1
Factor -1/3*r**4 + 4/3*r**2 + 0 - 2*r**3 + 8/3*r + 1/3*r**5.
r*(r - 2)**2*(r + 1)*(r + 2)/3
Let r(f) be the second derivative of 7/60*f**4 + 0 + 55*f + 1/5*f**2 - 1/50*f**5 - 7/30*f**3. Factor r(s).
-(s - 2)*(s - 1)*(2*s - 1)/5
Suppose -26*c = 25*c - 204. Let h(r) be the second derivative of -2/15*r**6 + r**c + 4/3*r**3 + r + 0*r**2 + 0 + 0*r**5. Determine m so that h(m) = 0.
-1, 0, 2
Suppose 8*n + n = 11*n. Let q(o) be the second derivative of -8*o + 0*o**4 + n*o**2 + 0 + 2/15*o**3 - 1/25*o**5. Find v such that q(v) = 0.
-1, 0, 1
Let i(l) be the second derivative of -l**7/63 - 13*l**6/225 - 2*l**5/75 + 2*l**4/45 - l - 8. Determine d so that i(d) = 0.
-2, -1, 0, 2/5
Let d(y) = -y - 15. Let o be d(-21). Determine t so that -3*t + 3*t**5 - o*t**4 + 2363 + 6*t**2 - 2363 = 0.
-1, 0, 1
Let d(l) = -5*l**3 - l. Let k be d(-1). Suppose f - 5*u - 17 = 0, -2*f + k*u - u = -24. Solve -3/2*q**5 - f*q**4 + 0 - 2*q - 8*q**2 - 23/2*q**3 = 0 for q.
-2, -1, -2/3, 0
Let x(m) be the third derivative of m**8/1176 - 2*m**7/735 + m**6/420 - 60*m**2 - 3*m. Factor x(v).
2*v**3*(v - 1)**2/7
Let b(m) be the second derivative of m**5/120 + 13*m**4/72 + 8*m**3/9 + 5*m**2/3 - 2*m + 99. Factor b(p).
(p + 1)*(p + 2)*(p + 10)/6
Suppose -5*y = -2*y - 6. Let l be 1/((y - 5)/(-6)). Factor 0*h**3 + 3*h**3 - h**5 - l*h**5.
-3*h**3*(h - 1)*(h + 1)
Let v(c) = -4*c**3 + 131*c**2 + 30*c + 102. Let w be v(33). Factor 2/5*l**w + 4/15 + 2/5*l - 16/15*l**2.
2*(l - 2)*(l - 1)*(3*l + 1)/15
Factor 15*p + 1042*p**2 + 60*p - 1045*p**2.
-3*p*(p - 25)
Let q(d) be the second derivative of -1/120*d**4 + 1/300*d**6 + 2*d + 0 + 1/60*d**3 + 0*d**2 - 1/200*d**5. Factor q(w).
w*(w - 1)**2*(w + 1)/10
Let w(g) be the first derivative of -2*g**3/27 + 4*g**2/3 - 22*g/9 + 88. Suppose w(d) = 0. What is d?
1, 11
Let r(f) be the first derivative of -2*f**3/21 + 27*f**2/7 + 8*f - 44. Determine a, given that r(a) = 0.
-1, 28
Let b = 41/195 + 8/65. Let a(x) be the first derivative of -2 - b*x**2 + 0*x - 1/6*x**4 + 4/9*x**3. Solve a(g) = 0 for g.
0, 1
Let w be (70/25 - 2)/((-1)/(-495)). Let r be 0 + -3 - w/(-110). Factor 2/5 - r*p + 1/5*p**2.
(p - 2)*(p - 1)/5
Let q be (-1 + 31)*14/35. Let k = q + -9. Factor -6*o**2 + 5 - k*o - 5 + 3*o**5 + 6*o**4.
3*o*(o - 1)*(o + 1)**3
Suppose 189*z - 14 = 182*z. Let c be (0 + 0)/(3 - z). Find b, given that c - 6/11*b**3 + 0*b - 4/11*b**4 + 4/11*b**2 = 0.
-2, 0, 1/2
Let -51/2*b**2 + 0 + 45/2*b**3 - 3/2*b**5 - 9/2*b**4 + 9*b = 0. What is b?
-6, 0, 1
Let r(b) = b**4 + b**3 + b**2 + 3*b. Let f(z) = 6*z**4 + 4*z**3 - 2*z**2 + 8*z. Let m(o) = -f(o) + 4*r(o). Let m(l) = 0. Calculate l.
-1, 0, 2
Suppose -2*s = -p - p + 4, 4*p - 8 = 0. Factor 0*y + 3*y**3 + 6*y - 9*y**2 + s*y.
3*y*(y - 2)*(y - 1)
Let p = -281/24 - -99/8. Let c(t) = t**2 + 5*t - 3. Let y be c(-6). Factor -2/3*a**2 + 1/3*a**y - 1/3*a + p.
(a - 2)*(a - 1)*(a + 1)/3
Determine a so that -2*a + 0 - 2/3*a**2 = 0.
-3, 0
Suppose 2*d = -y - 23, -28 = 2*d - y - 3*y. Let j = 16 + d. Factor -3*o**2 - 2*o**j - 2*o - 15*o**3 + 6*o + 2*o**2 - 3*o**2 + 5*o**5.
o*(o - 2)*(o + 1)**2*(5*o - 2)
Factor 0 - 1/4*s**2 - 2*s.
-s*(s + 8)/4
Let l = -6 + 8. Let h = -18 + 73/4. Let 1/4*g**l - h + 0*g = 0. What is g?
-1, 1
Let d(a) = -6*a**2 - a + 1. Let b be d(1). Let j(p) = 9*p**3 + 6*p**2 - 15*p + 12. Let q(c) = c**3 + c**2 - c + 1. Let z(x) = b*q(x) + j(x). Factor z(n).
3*(n - 1)**2*(n + 2)
Let d(c) be the second derivative of 0 - 5*c + 1/3*c**3 - 1/6*c**4 + 0*c**2. Factor d(g).
-2*g*(g - 1)
Suppose 5*w + 0 + 10 = 0. Let h be (w/4)/(2/(-8)). Suppose -2*y**4 + 2*y**3 - 3*y**3 - h*y**2 - 3*y**3 = 0. Calculate y.
-1, 0
Let r(p) be the second derivative of -p**4/54 + 8*p**3/27 - 4*p**2/3 + p + 9. Factor r(d).
-2*(d - 6)*(d - 2)/9
Factor 0 + 4/9*c**2 + 152/9*c.
4*c*(c + 38)/9
Let k(x) be the third derivative of 0*x - 2/21*x**3 - 19*x**2 - 1/28*x**4 - 1/210*x**5 + 0. Solve k(y) = 0 for y.
-2, -1
Let l(v) be the first derivative of 9/16*v**2 + 1/40*v**5 + 7 - 5/32*v**4 + 0*v + 1/8*v**3. Fact