3*z**2 - 3. Suppose t(u) = 0. Calculate u.
0, 2/5, 1
Suppose 5*q - 69 - 39 = 4*u, 0 = -q + 5*u + 30. Factor -14*z**4 + q*z**3 - 13*z**2 + 4*z - 7*z**2 + 8*z**3 + 2*z**4.
-4*z*(z - 1)**2*(3*z - 1)
Let k = 3673 + -3671. Solve -16/5 - 6/5*i**3 + 26/5*i**k - 4/5*i = 0 for i.
-2/3, 1, 4
Suppose 2*p - 2*d = -4, -23 = -4*d - 3. Factor 43*u**2 + u**4 - 91*u**2 - p*u**3 + 47*u**2 + 3*u.
u*(u - 3)*(u - 1)*(u + 1)
Suppose -s + n - 6*n - 6 = 0, -3*s - 58 = -5*n. Let w = -10 - s. Find h, given that -w - 2/3*h**2 + 4*h = 0.
3
Let b(c) be the third derivative of -1/840*c**7 - c**2 + 0 - 1/48*c**4 + 0*c**3 - 1/160*c**6 + 0*c + 1/48*c**5 + 1/1344*c**8. Find t such that b(t) = 0.
-2, 0, 1
Let w(k) = -3*k - 10. Let t be w(-7). Solve 8 - 18*z**2 + 25*z**2 + 12*z**3 - 11*z**2 - 4*z**4 - t*z - z = 0.
-1, 1, 2
Find k, given that 82*k - 26*k - 7 - 40*k + k**2 - 10 = 0.
-17, 1
Let x be (-25070)/1610 - 48/(-3). Factor 3/7*g + 0 + 3/7*g**2 - x*g**3 - 3/7*g**4.
-3*g*(g - 1)*(g + 1)**2/7
Let y(x) = 8*x + 80. Let r be y(-10). Let j(g) be the second derivative of 1/80*g**5 - 4*g - 1/8*g**3 + r*g**4 - 1/4*g**2 + 0. Factor j(o).
(o - 2)*(o + 1)**2/4
Suppose -b = -2 - 4. Let v(r) = -r**2 + 6*r + 3. Let n be v(b). Factor -12*u + 0*u**3 + 3*u**5 + 6*u**2 + 12*u + 3*u - n - 3*u**4 - 6*u**3.
3*(u - 1)**3*(u + 1)**2
Let g(c) be the third derivative of -243*c**7/70 + 45*c**6/4 - 517*c**5/60 - 25*c**4/6 - 2*c**3/3 - 61*c**2 + 1. Factor g(h).
-(h - 1)**2*(27*h + 2)**2
Let z(d) = 2*d**4 + d**3 - d**2 - 1. Let x(n) = -4*n**4 - 32*n**3 + 107*n**2 - 93*n + 23. Let f(v) = -x(v) + z(v). Factor f(k).
3*(k - 1)**2*(k + 8)*(2*k - 1)
Let t be 9/(-12)*4 - -5. Suppose -3*a - 3*n = 0, n = 2*a - 7 - t. Determine k so that 0*k**2 + 0*k + 0 + 1/2*k**5 + 0*k**4 - 1/2*k**a = 0.
-1, 0, 1
Suppose 4*m - 388*u = -385*u + 20, -3*m + 15 = -5*u. Find w, given that 1/5*w**m + 1/5*w - 2/5*w**2 - 2/5*w**3 + 1/5 + 1/5*w**4 = 0.
-1, 1
Factor -45*a**2 - 8*a + 5*a - 17*a + 60 + 5*a**4.
5*(a - 3)*(a - 1)*(a + 2)**2
Let d(q) be the third derivative of 0*q**3 + 2*q**2 + 0*q + 0 + 2/45*q**5 - 1/6*q**4. Suppose d(z) = 0. Calculate z.
0, 3/2
Suppose -24*b**2 + 0 - 18*b - 3/2*b**4 - 21/2*b**3 = 0. Calculate b.
-3, -2, 0
Let x(r) = r**3 - 10*r**2 - 8*r + 36. Let z be x(11). Let q = -65 + z. Find o, given that 8/7*o**q + 10/7*o - 4/7 - 4/7*o**2 - 2/7*o**5 - 8/7*o**3 = 0.
-1, 1, 2
Determine y so that -17 + 0*y**2 + 11*y - 7 + y**2 + 12 = 0.
-12, 1
Factor 2*q**3 - 6*q**3 - 1259*q**2 + 1243*q**2 + 24 - 4*q.
-4*(q - 1)*(q + 2)*(q + 3)
Let p = -95 - -97. Determine l so that -28*l**3 - 5*l**4 - 18*l**2 + 4*l - 7*l**p + 48*l**3 + 6*l = 0.
0, 1, 2
Factor 1/11*s**2 + 0 - 6/11*s.
s*(s - 6)/11
Let f be ((-36)/(-6) - 6)/(0 - 1). Let a(c) be the first derivative of 0*c**2 + 2 - 4/25*c**5 + 8/15*c**3 + f*c**4 - 4/5*c. Factor a(i).
-4*(i - 1)**2*(i + 1)**2/5
Let u = -10 + 12. Find a such that 6*a**u + a**3 - 9*a - a**3 + 0*a**3 + 3*a**3 = 0.
-3, 0, 1
Factor 0*a**2 - 12/7*a**3 + 12/7*a**4 - 3/7*a**5 + 0*a + 0.
-3*a**3*(a - 2)**2/7
Suppose -6*h = 4 + 2. Let z be (-5)/(-6) - (h - -4)/(-6). Let 0 + 14/3*s**2 + 2*s**4 - z*s - 16/3*s**3 = 0. Calculate s.
0, 2/3, 1
Let w be 2/5 - 940/2400. Let u(i) be the third derivative of -2*i**2 + 1/3*i**3 + 0*i**5 + 0*i + 1/8*i**4 - w*i**6 + 0. Factor u(j).
-(j - 2)*(j + 1)**2
Let p(q) = -q**3 - 9*q**2 + 20*q - 22. Let n be p(-11). Let w = 12 - 8. Factor 0*i**2 + 0 - 2/5*i**3 - 4/5*i**w - 2/5*i**5 + n*i.
-2*i**3*(i + 1)**2/5
Let d(r) = 3*r + 54. Let m be d(-13). Factor -24*a - 14*a - 5*a**3 + 28*a + m*a**2.
-5*a*(a - 2)*(a - 1)
Let h be (32/1)/(-4) + 12. Determine v, given that 130*v - 165*v**2 + 245/2*v**h - 20 - 385/2*v**3 = 0.
-1, 2/7, 2
Let t(i) be the first derivative of 1/6*i**4 - 2/15*i**5 - 1/3*i**2 + 2/9*i**3 + 0*i + 6. Factor t(o).
-2*o*(o - 1)**2*(o + 1)/3
Let n(x) be the second derivative of 1/140*x**5 + 0 - 27*x - 1/2*x**2 + 1/12*x**4 - 1/42*x**3. Factor n(j).
(j - 1)*(j + 1)*(j + 7)/7
Let j(b) be the second derivative of -b**5/20 - b**4 - 8*b**3 - 2*b**2 + 7*b. Let w(s) be the first derivative of j(s). Solve w(u) = 0.
-4
Let o(x) be the third derivative of x**5/90 - 5*x**4/36 + 4*x**3/9 - 87*x**2 - 2. Find w, given that o(w) = 0.
1, 4
Let j(t) be the third derivative of t**6/360 + 23*t**5/540 + 13*t**4/216 - 7*t**3/54 + 2*t**2 - 53*t. Factor j(y).
(y + 1)*(y + 7)*(3*y - 1)/9
Factor 4*k**3 - k**3 - 4*k**3 - 65*k + 3*k**3 + 3*k**3 - 60.
5*(k - 4)*(k + 1)*(k + 3)
Let q(o) be the second derivative of -o**6/120 + 47*o**5/80 - 15*o**4 + 416*o**3/3 + 512*o**2 - 417*o. Factor q(f).
-(f - 16)**3*(f + 1)/4
Let y(d) be the second derivative of 0*d**2 - d - 1/8*d**4 - 3/4*d**3 + 0. What is c in y(c) = 0?
-3, 0
Let y(r) = -7*r - 4*r + 8*r + 0*r. Let d be y(-4). What is u in d + 8*u**2 + 2*u - 27 + 15 = 0?
-1/4, 0
Factor 1/5*x**2 + 43/5*x + 42/5.
(x + 1)*(x + 42)/5
Suppose 0 = -2*c + 3*s - 6, -5*c + 3*c + 5*s - 10 = 0. Factor 3/2*t**4 + c*t + 0 + 3*t**3 + 3/2*t**2.
3*t**2*(t + 1)**2/2
Let o(q) be the first derivative of -6/5*q - 10 - 3/10*q**2 + 1/5*q**3. Factor o(a).
3*(a - 2)*(a + 1)/5
Suppose o + 11 = 2*v, 41*o + 13 = 3*v + 40*o. What is w in 2/13*w**v + 6/13 + 8/13*w = 0?
-3, -1
Let r(y) be the first derivative of 2*y**3/7 - 96*y/7 - 115. Factor r(z).
6*(z - 4)*(z + 4)/7
Let s(x) be the second derivative of 2*x**7/147 + 22*x**6/105 + 34*x**5/35 + 2*x**4/3 - 10*x**3/3 - 50*x**2/7 - 63*x. Suppose s(k) = 0. Calculate k.
-5, -1, 1
Let x(k) be the second derivative of k**5/10 - 85*k**4/6 + 1927*k**3/3 - 5043*k**2 + k + 354. Solve x(a) = 0 for a.
3, 41
Suppose -5 = -5*n, 5*n - 17 = -4*s - 0*s. Let u(h) be the first derivative of 0*h - 1/2*h**s + 5 + 9/4*h**2. Suppose u(z) = 0. Calculate z.
0, 3
Let q(z) = -2*z - 15. Let f be q(-9). Let t be 3 + (f/45 - 12/30). Factor -t*p + 2/3 + 2*p**2.
2*(p - 1)*(3*p - 1)/3
Let q(l) be the first derivative of 10 - 2/3*l**3 + 0*l**4 + 1/10*l**5 + 0*l + 0*l**2. Factor q(a).
a**2*(a - 2)*(a + 2)/2
Let x(o) be the first derivative of o**2/2 + 7*o + 10. Let p be x(-3). Determine s so that 0*s**2 + 1/2*s**p + s - 1/2 - s**3 = 0.
-1, 1
Suppose -5*w + 20 = 4*j, 2*w = -j - 2*j + 15. Suppose -4*o - 2*d - 2 = 0, 1 = 2*o + 5*d - 6*d. Solve 3*s**5 + 16/3*s**3 + 7*s**4 + 4/3*s**2 + w + o*s = 0.
-1, -2/3, 0
Let j(n) be the first derivative of -n**6/24 + 3*n**5/10 - 11*n**4/16 + n**3/2 + 524. Solve j(d) = 0.
0, 1, 2, 3
Let z(j) be the third derivative of 1/12*j**4 + 0*j + 0*j**3 + 1/10*j**6 + 0 + 1/168*j**8 + 7*j**2 + 4/105*j**7 + 2/15*j**5. Factor z(h).
2*h*(h + 1)**4
Let m(f) be the third derivative of f**5/15 - f**4/3 + 2*f**3/3 - 9*f**2 + 2*f. Find n, given that m(n) = 0.
1
Let w = -25176/7 + 125943/35. Factor w*k**3 + 6/5*k**4 + 0*k + 0*k**2 + 0 + 1/5*k**5.
k**3*(k + 3)**2/5
Let g = 59 + -57. Factor 412*k**2 - 412*k**g - 4*k**3 + 5*k - k**3.
-5*k*(k - 1)*(k + 1)
Let d = 417/8 - 52. Let q(b) be the second derivative of -1/8*b**3 - 3*b + 0 - 1/24*b**4 - d*b**2. What is k in q(k) = 0?
-1, -1/2
Let u(p) be the third derivative of 1/1575*p**7 + 0*p - 1/180*p**6 + 2/225*p**5 + 0*p**3 - 11*p**2 + 0*p**4 + 0. Suppose u(a) = 0. Calculate a.
0, 1, 4
Find i such that -19*i + 12*i - 25*i + 11*i - 6*i**2 - 30*i - 90 = 0.
-6, -5/2
Let s = -75 + 113. Let m = -112/3 + s. Suppose -2/3*l + 0 + m*l**3 + 2/3*l**2 - 2/3*l**4 = 0. Calculate l.
-1, 0, 1
Let n(j) be the second derivative of -j**4/32 - j**3/8 + 9*j**2/16 - 2*j + 188. Suppose n(q) = 0. Calculate q.
-3, 1
Solve 1/7*m**2 + 400/7 - 40/7*m = 0 for m.
20
Let c(j) be the second derivative of -1/10*j**6 - 3*j**2 - 3/4*j**5 + 22*j + 0 - 9/4*j**4 - 7/2*j**3. Factor c(k).
-3*(k + 1)**3*(k + 2)
Let h(l) = -131*l**2 - 45*l**3 - 3*l + 141*l**2 - 2 + 17*l. Let m(v) = 135*v**3 - 29*v**2 - 43*v + 7. Let f(s) = -7*h(s) - 2*m(s). Let f(w) = 0. Calculate w.
-2/5, 0, 2/3
Suppose 8*v - 10*v + 92 = 0. Suppose -f + 48 = v. Let 0 + 2/3*j + 6*j**3 - 8/3*j**4 - 4*j**f = 0. Calculate j.
0, 1/4, 1
Let f = 1/65 + 1037/195. Let z(x) be the first derivative of -f*x - 1/9*x**3 + 6 + 4/3*x**2. Suppose z(j) = 0. What is j?
4
Suppose -45 - 5*z**2 + 35 + z - 16*z = 0. Calculate z.
-2, -1
Let y = 2806 - 19632/7. Let -y*o**2 + 4/7*o**4 + 2/7*o**3 + 4/7*o + 0 = 0. Calculate o.
-2, 0, 1/2, 1
Let v(q) = -q**2 + 4*q - 6. Let f be v(3). Let n(c) = -3*c**2 - 12*c - 12. Let g(r) = 3*