 2/7*j + 1872/7*j**2 - 32/7*j**4 = 0.
-1/2, 1/4, 78
Let u(d) be the first derivative of -24*d + d**4 + 25 + 2*d**2 + 16/3*d**3. Factor u(h).
4*(h - 1)*(h + 2)*(h + 3)
Factor -1/3*o**3 - 16/3 - 11/3*o**2 - 26/3*o.
-(o + 1)*(o + 2)*(o + 8)/3
Let s(t) be the second derivative of 1/60*t**5 - t + 0 - 1/252*t**7 - 1/180*t**6 + 0*t**2 + 0*t**4 + 0*t**3. Let s(i) = 0. Calculate i.
-2, 0, 1
Factor -8/3*m**2 - 26*m + 2/3*m**3 - 36.
2*(m - 9)*(m + 2)*(m + 3)/3
Let c = -7315/3 + 2439. Let d(y) be the first derivative of -c*y - 1/3*y**3 - 5/6*y**2 - 11. Find m such that d(m) = 0.
-1, -2/3
Let n(k) be the second derivative of k**5/5 + 16*k**4 + 440*k**3 + 3872*k**2 + 83*k + 2. Determine o so that n(o) = 0.
-22, -4
Let a(z) be the third derivative of -z**7/70 + z**6/20 + 2*z**5/5 - 101*z**2. Find b such that a(b) = 0.
-2, 0, 4
Let u(n) be the third derivative of -3*n**6/320 + 7*n**5/40 - 9*n**4/64 + 61*n**2. Solve u(i) = 0 for i.
0, 1/3, 9
Let y(s) = -2*s**3 + 17*s**2 + 2*s + 5. Let f be y(8). Let j be 10/3 - (5 + f/(-15)). Factor -2/3*o**5 + 0 - 8/3*o**4 - j*o**3 - 2/3*o - 8/3*o**2.
-2*o*(o + 1)**4/3
Let g(l) = 2*l**2 - l + 1. Let j be g(1). Let r be (1/j)/((-40)/(-16)). Determine t so that 0*t + 0 + 1/5*t**3 - r*t**2 = 0.
0, 1
Factor -59 + 78*u**3 - u**4 - 1092*u - 377 - 2*u**4 - 152 - 423*u**2.
-3*(u - 14)**2*(u + 1)**2
Suppose 1466 = 12*c + 1442. Let k(o) be the first derivative of -2/3*o**3 + 0*o + 8 - c*o**2. Let k(z) = 0. What is z?
-2, 0
Suppose 4*b + 4*t = 14 + 2, 4*t + 8 = 4*b. Let n(y) be the first derivative of -y**2 + 2/3*y**b - 4 - 2*y + 1/2*y**4. Factor n(p).
2*(p - 1)*(p + 1)**2
Let z(r) be the first derivative of -3/4*r**4 + 6*r + 9/2*r**2 + 0*r**3 - 57. Solve z(t) = 0.
-1, 2
Let x(k) be the first derivative of 8748*k**5/5 + 4428*k**4 + 27544*k**3/9 + 328*k**2/3 + 4*k/3 + 413. Suppose x(q) = 0. Calculate q.
-1, -1/81
Let z(w) be the third derivative of -1/2*w**4 + 0 + 0*w + 12*w**2 + 1/70*w**7 + 0*w**3 - 1/5*w**5 + 1/40*w**6. Factor z(m).
3*m*(m - 2)*(m + 1)*(m + 2)
Let n be (-2)/10 - (-22)/10. Suppose 0 = r + r - g + 4, -g = -4. Solve -1/3*c**5 + 0*c**3 + 2/3*c**n - 2/3*c**4 + 1/3*c + r = 0.
-1, 0, 1
Suppose 2*v + 0*v - 5*y = -24, 5*y = -2*v - 24. Let z be (2/(-2))/(6/v). Determine h so that h**5 + 3*h**z - 4*h**2 - h**3 + 0*h**2 + h**4 = 0.
-1, 0, 1
Let w(s) = -2*s**5 - 16*s**4 - 18*s**3 + 27*s**2 - 4*s. Let b(v) = v**5 + 7*v**4 + 9*v**3 - 13*v**2 + 2*v. Let z(u) = 13*b(u) + 6*w(u). Factor z(i).
i*(i - 2)*(i - 1)**3
Suppose -q - 3 = 1. Let m be 1 - (q - (1 + -2)). Factor -6*d**3 - 2*d**4 + d + 4*d**m + 5*d - 4 + 2*d**2.
2*(d - 2)*(d - 1)**2*(d + 1)
Let z = 3145/3 + -3143/3. Solve z*y**2 - 16/3 - 14/3*y = 0.
-1, 8
Factor -56644/9 + 476/9*b - 1/9*b**2.
-(b - 238)**2/9
Suppose 27*s - 49 = 32. Suppose 0 - 2/7*q**4 + 6/7*q**s - 8/7*q + 0*q**2 = 0. Calculate q.
-1, 0, 2
Let q(y) = -y**2 - 14*y - 23. Let f be q(-11). Suppose 5*h = f, -5 = -2*g - h + 1. Solve 0*r - 1/7*r**g + 0*r**3 + 0 + 1/7*r**4 = 0.
-1, 0, 1
Suppose -3*k - 96*z = -101*z + 40, 0 = 3*k - 2*z + 16. Find u such that -3/2*u**5 + 0*u**3 + 0 + 0*u**2 + k*u - 3/2*u**4 = 0.
-1, 0
Let p = -97714/2193 - -2034/43. Let r = p - 24/17. Factor 4/3*b**3 - 4/3 + b**2 - r*b + 1/3*b**4.
(b - 1)*(b + 1)*(b + 2)**2/3
Let k be (21/350*-6)/((-153)/13260). Determine o so that k*o**2 - 24/5*o + 0 - 147/5*o**4 - 42*o**3 = 0.
-2, 0, 2/7
Find p such that -2253*p**2 + 1147*p**2 - 36*p + 1174*p**2 + 4*p**4 + 36*p**3 - 72 = 0.
-6, -3, -1, 1
Let o(y) be the third derivative of y**6/24 + 19*y**5/12 + 50*y**4/3 - 250*y**3/3 - 139*y**2. Factor o(i).
5*(i - 1)*(i + 10)**2
Let w be ((-108)/(-45))/(2/5). Let k(y) = 16*y**3 - 15*y**2 - y - 11. Let o(a) = 3*a**3 - 3*a**2 - 2. Let q(t) = w*k(t) - 33*o(t). Factor q(g).
-3*g*(g - 2)*(g - 1)
Let f(w) be the first derivative of -w**4/3 - w**3 - w**2 + 3*w + 4. Let o(m) be the first derivative of f(m). Factor o(k).
-2*(k + 1)*(2*k + 1)
Let v be -1 - 14/(-6) - 255/(-153). Let h(a) be the third derivative of 0*a + 0*a**3 - 1/60*a**5 - v*a**2 - 1/12*a**4 + 0. Solve h(d) = 0 for d.
-2, 0
Suppose -12*p + 42 = 2*p. Factor -5184*o**4 + 0*o**3 + 5189*o**4 - 5*o**p.
5*o**3*(o - 1)
Let x(r) be the first derivative of -5*r**3/3 + 35*r**2/2 + 300*r + 219. Factor x(y).
-5*(y - 12)*(y + 5)
Suppose 119 = 5*i + 104. Let k(z) = -z + 3. Let g be k(0). Determine x so that -22*x**3 + 16*x**i + g - 3*x**4 + 0 + 6*x = 0.
-1, 1
Let s be (-813)/(-15) + (-3)/15. Find w, given that -24*w - 16*w - 69*w**2 + s*w**2 - 20 = 0.
-2, -2/3
Let y be ((-1152)/(-728) - 4/26) + (-6)/6. Determine t so that -3/7*t**2 + y*t**3 - 3/7*t + 0 + 3/7*t**4 = 0.
-1, 0, 1
Let b = 27/31 + -23/62. Find w, given that -b*w - 1/2*w**5 - 2*w**2 + 0 - 2*w**4 - 3*w**3 = 0.
-1, 0
Let o be (-15)/(-8) - 4/(-32). Find g, given that -4*g**3 - 49*g**5 + 2*g - o*g**2 + g + 2 + 50*g**5 = 0.
-1, 1, 2
Let d be 56/15 + 2 + (-546)/65 + 8. Solve -d - 16/3*c - 4/3*c**2 = 0.
-2
Let z(k) be the first derivative of -29 + 25/4*k + 11/12*k**3 + 1/16*k**4 + 35/8*k**2. Factor z(n).
(n + 1)*(n + 5)**2/4
Suppose u + 78 = -3*s, 4*u - 5*s + 159 = -68. Let x = -61 - u. Factor 0*t - 2/5*t**3 + 0 + 0*t**x - 2/5*t**4.
-2*t**3*(t + 1)/5
Let r(p) be the second derivative of -p**7/1680 - p**6/432 + 11*p**5/720 - p**4/48 - 5*p**3/2 + 21*p. Let f(d) be the second derivative of r(d). Factor f(g).
-(g - 1)*(g + 3)*(3*g - 1)/6
Let o(k) = -4*k - 32. Let n be o(-11). Suppose s = -2, 2*r - 3*s - n = s. What is x in 3/2*x**4 + 0*x + 9/4*x**3 + 0 - 9/4*x**5 - 3/2*x**r = 0?
-1, 0, 2/3, 1
Let r(n) = -16*n**5 - 8*n**4 + 212*n**3 - 72*n**2 - 216*n - 56. Let x(a) = a**4 + 3*a**3 - a**2 - a + 1. Let m(v) = r(v) - 8*x(v). Suppose m(q) = 0. What is q?
-4, -1/2, 2
Let u(t) = -6*t**3 - 2*t**2 - t + 3. Let g be u(-2). Suppose 90*w**4 - 150*w**3 - 23*w**5 + 120*w**2 + 10*w**5 - 8*w**5 - g*w + 0 + 6 = 0. Calculate w.
2/7, 1
Let p(x) be the third derivative of -x**8/110880 - x**7/13860 - x**6/3960 - x**5/10 - 13*x**2. Let t(j) be the third derivative of p(j). Factor t(z).
-2*(z + 1)**2/11
Let h = -102 + 143. Let b be 0 + -1 + 2 + 2. Factor -h*k**b + 39*k**3 + k**5 + k**5.
2*k**3*(k - 1)*(k + 1)
Let r = 6587 - 289841/44. Let g = r + 6/11. Solve -1/4*k**2 + g*k + 1/2 = 0 for k.
-1, 2
Let a(i) = 8*i**2 - 72*i + 163. Let n(m) = 3*m**2 - 24*m + 54. Let h(u) = -6*a(u) + 17*n(u). Determine w, given that h(w) = 0.
-10, 2
Let x(f) = f**4 + 5*f**2 - 2*f + 4. Let a(b) = -2*b**2 - 1. Let j(s) = 4*a(s) + x(s). Factor j(r).
r*(r - 2)*(r + 1)**2
Let p = -663 - -663. Solve p*a + 2/9 - 2/9*a**2 = 0 for a.
-1, 1
Factor 21*c**4 + 12*c - 12 + 9*c**2 + 0*c**2 + 0*c**3 + 0*c**3 - 18*c**4 - 12*c**3.
3*(c - 2)**2*(c - 1)*(c + 1)
Let t(n) = -4*n + 126. Suppose 72 = 5*k - 83. Let b be t(k). Solve 8/5 + 8/5*d - 6/5*d**b = 0.
-2/3, 2
Suppose 0*r + 30 = -5*r. Let o be (-2)/((r/(-9))/(-1)). Factor -9 + 8 + 0*i + i**4 - 2*i + 2*i**o.
(i - 1)*(i + 1)**3
Let c(p) be the second derivative of -2*p**6/15 + 16*p**5/5 - 46*p**4/3 - 96*p**3 - 162*p**2 + 2*p - 32. Factor c(d).
-4*(d - 9)**2*(d + 1)**2
Let q(s) be the first derivative of 5*s**6/6 - 2*s**5/5 - 15*s**4 + 104*s**3/3 - 16*s**2 + 5. Factor q(h).
h*(h - 2)**2*(h + 4)*(5*h - 2)
Find r such that 5/2*r**4 - 145/6*r**2 - 40/3*r + 50/3 + 25/3*r**3 = 0.
-5, -1, 2/3, 2
Let t(j) = -11*j**5 - 15*j**4 - 10*j**3 + 4*j**2 - 2. Let q(g) = 34*g**5 + 45*g**4 + 32*g**3 - 14*g**2 + 7. Let w(a) = -2*q(a) - 7*t(a). Factor w(o).
3*o**3*(o + 1)*(3*o + 2)
Let w(m) be the third derivative of -m**5/140 + 3*m**4/56 + 5*m**3/7 - 88*m**2. Factor w(v).
-3*(v - 5)*(v + 2)/7
Let c(r) be the first derivative of -4*r**3/9 - 23*r**2/6 + 35*r/3 - 181. Find b, given that c(b) = 0.
-7, 5/4
What is z in 15/4*z**3 + 6*z**2 - 21/4*z - 9/2 = 0?
-2, -3/5, 1
Let w be (8 + -15 - -9) + 4 + -3. Factor 8/5*y**2 + 2/15*y**5 + 8/15*y + 4/5*y**4 + 0 + 26/15*y**w.
2*y*(y + 1)**2*(y + 2)**2/15
Suppose a = 0, 0*l + 2*a + 16 = 2*l. Let c be l/32 - (-14)/8. Solve 14*p**4 - p**3 + p**3 - 3*p**c - 6*p**3 - 17*p**4 = 0 for p.
-1, 0
Suppose 7*w - 4*w - 3*k - 21 = 0, -2 = 2*w + 2*k. Suppose s = 2*s - w. Let 4*c**s + 50 - 12*c**2 - 50 = 0. Calculate c.
0, 3
Let c(h) be the second derivative of 3/4*h**2 - 13/16*h**4 + 0 + 25*h + 11/8*h**3. Determine x, given that c(x) = 0.
-2/13, 1
Let z be (-11)/33 + (-3)/(-27)*3. Let 