t -1 + 6*l - 7*l**d + 4*l**2 - 2 = 0.
1
Let p = -591 + 596. Suppose 3*f = -2*f + 15. Find r, given that 27 - 9*r + 6*r**3 + 3 - f - 6*r**5 - 42*r**2 + 15*r**4 + 9*r**p = 0.
-3, -1, 1
Suppose 3*n - 12 = 3*l, n - 2*l - 5 = 2*n. Let z be ((-106)/4)/(n + -2). Solve 2 - 2*u - z*u**2 - 45/2*u**3 = 0 for u.
-1, -2/5, 2/9
Factor -972/7 + 3/7*m**4 - 648/7*m + 45/7*m**3 - 1/7*m**5 - 27/7*m**2.
-(m - 6)**2*(m + 3)**3/7
Let l(i) = 2*i**4 + 17*i**3 + 75*i**2 + 96*i - 5. Let z(b) = -b**4 - 9*b**3 - 38*b**2 - 48*b + 2. Let q(c) = 2*l(c) + 5*z(c). Factor q(w).
-w*(w + 3)*(w + 4)**2
Let o(d) be the second derivative of d**5/20 - 3*d**4/4 + 4*d**3 - 8*d**2 - 11*d. Let o(z) = 0. What is z?
1, 4
Let h(w) be the third derivative of w**10/30240 - w**8/1008 - w**5/20 + w**2. Let a(y) be the third derivative of h(y). Find n such that a(n) = 0.
-2, 0, 2
Factor 6 - 5*s**4 + 3*s**4 - 2*s**3 + 0*s**4 + s + s**5 - 4*s**2 - 4 + 4*s**4.
(s - 1)**2*(s + 1)**2*(s + 2)
Let l(c) be the first derivative of -4*c**5/5 - 85*c**4 - 3132*c**3 - 38686*c**2 + 195112*c - 16. Factor l(p).
-4*(p - 2)*(p + 29)**3
Find x such that 0 - 1/3*x**2 - 31/3*x = 0.
-31, 0
Determine p, given that -2/5*p**3 + 0 + 72/5*p + 18/5*p**2 = 0.
-3, 0, 12
Suppose -15 = 3*a - 4*a - 4*v, 5*v = -5*a + 120. Suppose -50*g + 13*g**3 - 51*g**4 - a - 12*g**5 - 22*g + 150*g**2 - g**3 = 0. What is g?
-3, -1/4, 1
Let i be (-2 + (-164)/10)/((-2)/3). Let c = -27 + i. Factor 0 + 9/5*u**2 + c*u + 3/5*u**4 + 9/5*u**3.
3*u*(u + 1)**3/5
Suppose 4*t - 9 = -2*m - 33, -m = -2*t - 4. Let n be (8/(-48))/((-7)/m + -2). Suppose -n - 5/3*d - 4/3*d**2 - 1/3*d**3 = 0. What is d?
-2, -1
Let t(s) be the first derivative of -s**4/2 + 28*s**3/3 + s**2 - 28*s - 92. Let t(c) = 0. Calculate c.
-1, 1, 14
Let p(f) be the first derivative of f**5/30 - f**4/12 - 2*f**3/3 - 6*f**2 + 9. Let r(s) be the second derivative of p(s). Let r(y) = 0. Calculate y.
-1, 2
Find u such that -56/3 - 60*u**2 + 172/3*u + 68/3*u**3 - 4/3*u**4 = 0.
1, 14
Let a(m) be the second derivative of -m**9/31752 + m**8/3528 - 2*m**7/2205 + m**6/945 + 5*m**3/6 - 11*m. Let w(n) be the second derivative of a(n). Factor w(r).
-2*r**2*(r - 2)**2*(r - 1)/21
Let n = -3284/45 + 73. Let q(g) be the third derivative of -1/18*g**4 + 0*g**3 + 1/120*g**6 + 1/1008*g**8 + 0*g + n*g**5 + 0 + 3*g**2 - 2/315*g**7. Factor q(t).
t*(t - 2)**2*(t - 1)*(t + 1)/3
Suppose -3*b = 2*h - 2*b - 9, 0 = -5*h + b + 26. Suppose 0 = 3*d - 1 - h. Factor -c + 2*c**5 - 2*c**2 + 3*c - 4*c**3 + 2*c**d.
2*c*(c - 1)**2*(c + 1)**2
Suppose 33*y = -28*y. Factor 0*p**2 + 0*p - 1/5*p**3 - 1/5*p**4 + y.
-p**3*(p + 1)/5
Factor 4/3 + 8/3*a**2 - 2/3*a**3 - 10/3*a.
-2*(a - 2)*(a - 1)**2/3
Let o(s) be the second derivative of -5*s**4/12 + 5*s**3/3 - 5*s**2/2 - 250*s. Suppose o(b) = 0. Calculate b.
1
Let s(i) = -2*i - 1. Let w(r) = -3*r**2 + 86*r + 88. Let h(t) = -s(t) - w(t). Factor h(n).
3*(n - 29)*(n + 1)
Let q be 41/207 - (-392)/(-4508). Factor -5/9*v + q*v**2 - 2/3.
(v - 6)*(v + 1)/9
Let w(j) be the first derivative of j**3/9 + 41*j**2/3 + 1681*j/3 + 603. Let w(g) = 0. What is g?
-41
Let z(d) be the first derivative of d**6/30 + 3*d**5/25 - d**4/10 - 4*d**3/5 - 4*d**2/5 + 174. Factor z(x).
x*(x - 2)*(x + 1)*(x + 2)**2/5
Let s(z) be the first derivative of -3*z**4/4 + z**3 + 3*z**2/2 - 3*z + 66. Factor s(q).
-3*(q - 1)**2*(q + 1)
Suppose 5*q**2 - 2 - q**2 - 8*q**2 + 5*q + q**3 - 5*q + 5*q = 0. Calculate q.
1, 2
Let q(p) be the third derivative of p**6/120 + p**5/20 - 3*p**4/8 - 9*p**3/2 + 11*p**2 - 10. Factor q(x).
(x - 3)*(x + 3)**2
Suppose 0 = 6*n - 4*n - 10. Suppose y + 5 = n. Find p, given that 2/3*p**4 + 4/3*p**2 - 2*p**3 + 0 + y*p = 0.
0, 1, 2
Let h = 31 - 7. Suppose 22*c**3 - 10*c**2 - 9*c**2 - 10*c**3 + 4*c**4 - 41*c**2 + 68*c - h = 0. What is c?
-6, 1
Let u(m) = m**4 - m**3 - 9*m**2 - 7*m - 5. Let o(x) = -x**3 - 2*x**2 - x - 3. Let r(q) = -15*o(q) + 5*u(q). Suppose r(v) = 0. Calculate v.
-2, 1
Suppose -55/3*f**3 + 20*f - 40/3*f**2 + 40/3*f**4 + 0 - 5/3*f**5 = 0. What is f?
-1, 0, 1, 2, 6
Let i(l) be the first derivative of l**4/72 + l**3/18 + 7*l - 11. Let p(m) be the first derivative of i(m). Determine w so that p(w) = 0.
-2, 0
Let x(j) be the third derivative of j**6/10 + 11*j**5/20 - j**4/2 - 11*j**3/2 + 25*j**2 - 2*j. Factor x(l).
3*(l - 1)*(l + 1)*(4*l + 11)
Let n(q) be the first derivative of 2/65*q**5 + 0*q**2 + 0*q**4 - 10 + 1/39*q**6 + 0*q + 0*q**3. Let n(c) = 0. Calculate c.
-1, 0
Suppose -5*p - 1 = 19, -v = -5*p - 22. Suppose 0*m - v*m - 3*h = 9, 0 = 4*m - 4*h - 32. Factor 4*q - 5 + m*q**3 + 6*q + 4*q**2 + 1 - 13*q**3.
-2*(q - 1)*(q + 1)*(5*q - 2)
Let g be (2424/27)/((-4)/(-6) + 0). Let q = g - 133. Find w such that w**2 + 0*w + 0 + q*w**3 - 1/3*w**5 + 1/3*w**4 = 0.
-1, 0, 3
Let g be 32/(-48) + (-16)/(-6). Let y be 4 + (-1)/((-3)/4). Solve -4*i**g - 8*i - y - 2/3*i**3 = 0 for i.
-2
Suppose 252*v**3 - 355*v**2 - 82*v**3 + 10*v + 88*v**4 + 87*v**4 = 0. Calculate v.
-2, 0, 1/35, 1
Let a(c) = 10*c**3 - 40*c**2 - 9*c - 18. Let v(i) = 2*i**3 - 10*i**2 - 2*i - 4. Let d(o) = -4*a(o) + 18*v(o). Find u, given that d(u) = 0.
-5, 0
Let b(i) be the first derivative of -3*i**4/4 - 2*i**3/3 - i**2 - i - 2. Let k be b(-1). Solve -5*w + 4*w**5 - 2*w**4 + 4*w**4 + w - 8*w**k + 6*w**4 = 0 for w.
-1, 0, 1
Let i(j) be the first derivative of 3*j**4 - 23 + 0*j - 12/5*j**5 + 2/3*j**6 + 0*j**2 - 4/3*j**3. Suppose i(h) = 0. Calculate h.
0, 1
Let c be 148/(-50) - (17 + -20). Let h = c + 9/25. Suppose -2/5*k**2 + h + 0*k = 0. What is k?
-1, 1
Suppose 5*s - 9 = 8*x - 5*x, 23 = 4*x + 5*s. Let 4 - x*h + 1/4*h**2 = 0. What is h?
4
Factor 5/3*n - 5/3*n**3 - 5/6*n**4 + 0*n**2 + 5/6.
-5*(n - 1)*(n + 1)**3/6
What is r in -3/4*r**2 - 147/4 - 21/2*r = 0?
-7
What is k in -72 - 104/3*k + 2/3*k**2 = 0?
-2, 54
Let k(y) = y**3 + 12*y**2 + 23*y + 278. Let i be k(-12). Let j be 2/7 + 33/7. Let 2*p**4 + 0*p - 2/3*p**i - 4/3*p**j + 0 + 0*p**3 = 0. Calculate p.
-1/2, 0, 1
Let o(w) be the first derivative of w**4/6 + 152*w**3/9 - 79*w**2/3 - 308*w/3 + 890. Factor o(i).
2*(i - 2)*(i + 1)*(i + 77)/3
Let t(o) = 28*o**3 + 2*o**2. Let r(d) = -d**2. Suppose 0 = -7*f + 2*f + 10. Suppose f*x = 6*x - 4. Let b(n) = x*t(n) - 6*r(n). Factor b(p).
4*p**2*(7*p + 2)
Let t(c) be the third derivative of 2*c**7/105 + 7*c**6/15 + 23*c**5/5 + 70*c**4/3 + 200*c**3/3 - 2*c**2 + 10*c. Factor t(v).
4*(v + 2)**2*(v + 5)**2
Let h(f) be the first derivative of 1/5*f**5 - 8/3*f**3 - 3*f**2 + 3/2*f**4 + 7*f + 10. Factor h(g).
(g - 1)**2*(g + 1)*(g + 7)
Let t be 70/(-1855) - (-2975)/1590. Let -13/6*d - t*d**2 + 1/2 + 5/6*d**3 = 0. Calculate d.
-1, 1/5, 3
Let h(o) be the first derivative of -15*o**3 - 13 + 7*o**3 + 9*o**3. Factor h(n).
3*n**2
Factor -6/5*p**2 - 2/5 + 8/5*p.
-2*(p - 1)*(3*p - 1)/5
Let p(k) be the first derivative of k**6/15 - 2*k**5/5 + 3*k**4/5 + 4*k**3/15 - 7*k**2/5 + 6*k/5 - 37. Factor p(i).
2*(i - 3)*(i - 1)**3*(i + 1)/5
Let r(i) be the first derivative of i**3 + 273*i**2 + 24843*i - 311. What is q in r(q) = 0?
-91
Let s(j) be the first derivative of 5*j**6/9 - 38*j**5/15 + 8*j**4/3 + 8*j**3/9 - 5. Let s(g) = 0. What is g?
-1/5, 0, 2
Let -16*u**4 - 400*u - 616*u**2 + 10*u**5 - 22*u**5 - 102*u**4 + 19*u**4 - 96 - 29*u**4 - 428*u**3 = 0. Calculate u.
-6, -2, -1, -2/3
Let r(y) = -6*y**2 + 3*y - 1. Let d(s) be the second derivative of 5*s**4/12 - s**3/3 + s**2/2 + 3*s. Let p(f) = -5*d(f) - 4*r(f). Factor p(k).
-(k + 1)**2
Suppose -78*u = -77*u + 3*m - 4, 0 = m. Factor -1/9*h**u + 2/9*h**3 - 1/9*h**2 + 0 + 0*h.
-h**2*(h - 1)**2/9
Let m(w) be the first derivative of 2*w**6/3 - 8*w**5/5 - 11*w**4 + 160*w**3/3 - 88*w**2 + 64*w + 83. Determine s, given that m(s) = 0.
-4, 1, 2
Suppose 5*f = 3*l - 41, 4*l + 4*f + 0*f - 44 = 0. Let p be (1 - -2)*l/9. Find g, given that -6*g**2 + 4*g**3 - 8*g + 3*g**4 - 3 - g**p + 7 + 4 = 0.
-2, 1
Let y = 13 + -15. Let r be (-1)/y + 18/12. Factor -4*k**r + 0*k**4 + 0*k**2 + 3*k**4 + k**2.
3*k**2*(k - 1)*(k + 1)
Suppose v - 14 = 4*j, -3 = -5*v - 3*j - 2. Suppose -242/5*o**3 - 8/5*o - 88/5*o**v + 0 = 0. Calculate o.
-2/11, 0
Suppose 3*g = 4*x - g - 12, -2*x - 4*g + 6 = 0. Factor q**x + 0*q - 1/2*q**2 - 1/2*q**4 + 0.
-q**2*(q - 1)**2/2
Let f(b) = 7*b**2 - 30*b + 67. Let j(g) = -8*g**2 + 30*g - 65. Let u(o) = 5*f(o) + 4*j(o). Factor u(m).
3*