.
3*a**2*(a - 2)*(a - 1)**2/2
Suppose 4*y = -8, -w + 2 = -4*w - 4*y. Let a(s) be the first derivative of 0*s + 1 - s**3 - 3/2*s**w. Find z, given that a(z) = 0.
-1, 0
Let h(u) = -12 + 15*u**2 - 14*u - 6 - 28*u - u. Let d(w) = 120*w**2 - 345*w - 145. Let p(q) = 3*d(q) - 25*h(q). Let p(g) = 0. What is g?
-1/3, 3
Let v(l) be the first derivative of l**3/18 + 5*l**2/3 - 22*l/3 - 83. Factor v(s).
(s - 2)*(s + 22)/6
Let x be (-10)/4*(2 + 248/(-120)). Let p(b) be the second derivative of b - x*b**6 + 0 + 0*b**3 - 1/14*b**7 + 0*b**2 + 1/12*b**4 - 1/20*b**5. Factor p(q).
-q**2*(q + 1)**2*(3*q - 1)
Let g(f) be the first derivative of 7/15*f**2 - 2/5*f + 22 - 8/45*f**3. Factor g(n).
-2*(n - 1)*(4*n - 3)/15
Solve -89*f**2 - 91*f**2 + 6*f + 168*f**2 + 3*f**4 - 6*f**3 + 9 = 0 for f.
-1, 1, 3
Let c(p) be the first derivative of -p**6/21 - 4*p**5/7 - 13*p**4/14 + 40*p**3/7 - 36*p**2/7 - 431. Factor c(k).
-2*k*(k - 1)**2*(k + 6)**2/7
Let y(a) be the first derivative of -a**4/16 - 29*a**3/12 + 15*a**2/4 + 110. Find b, given that y(b) = 0.
-30, 0, 1
Let q(y) be the first derivative of y**6/120 + 7*y**5/60 - 17*y**2/2 - 13. Let o(w) be the second derivative of q(w). Factor o(l).
l**2*(l + 7)
Let x(c) be the third derivative of c**7/168 - c**6/12 + 3*c**5/8 - 5*c**4/6 - 7*c**3 - 17*c**2. Let h(q) be the first derivative of x(q). Factor h(a).
5*(a - 4)*(a - 1)**2
Let x(j) be the second derivative of -j**8/2940 + j**7/1470 - 35*j**3/6 + 30*j. Let r(q) be the second derivative of x(q). Determine t, given that r(t) = 0.
0, 1
Let k(v) be the first derivative of -29*v**5/25 + 14*v**4/5 + 4*v**3/15 - 16. Factor k(y).
-y**2*(y - 2)*(29*y + 2)/5
Suppose -j + 32 = 7*j. Suppose -v - 2*v + j*v = 0. Factor -3/4*p**3 - 3/4*p**4 + v + 0*p + 0*p**2.
-3*p**3*(p + 1)/4
Let s = -85 + 87. Suppose 12*j**3 - 6 + 19*j - 24*j**s + j - 208*j**4 + 206*j**4 = 0. What is j?
1, 3
Let k = -7 - -7. Suppose -2*h + 4 + 2 = k. Suppose -i**3 + 6*i**h + i**4 - i**3 + i**4 + 2*i**2 = 0. What is i?
-1, 0
Let k be ((-1)/2)/(1255/(-60)*-3). Let c = k - -1520/1757. Let 3/7*s + c*s**2 + 3/7*s**3 + 0 = 0. What is s?
-1, 0
Let f(m) = 7*m**2 - 5 + 12*m + 3*m**2 + 13. Suppose -2*g - g + 33 = 0. Let q(a) = -19*a**2 - 24*a - 16. Let d(k) = g*f(k) + 6*q(k). Factor d(y).
-4*(y + 1)*(y + 2)
Factor 9*f**2 + 19*f - 1/3*f**3 + 29/3.
-(f - 29)*(f + 1)**2/3
Let t(f) be the third derivative of 5*f**8/336 - f**7/30 - 13*f**6/120 + 11*f**5/60 + f**4/3 - 2*f**3/3 - 3*f**2 + 52. Solve t(m) = 0 for m.
-1, 2/5, 1, 2
Let y(g) be the second derivative of g**6/480 + 3*g**5/160 - g**4/8 - g**3 - 3*g. Let i(o) be the second derivative of y(o). Factor i(x).
3*(x - 1)*(x + 4)/4
Let x be (-1 + (-35)/15)/((-6)/9). Let -4*b - 1 - 1/4*b**x - 19/4*b**3 - 7/4*b**4 - 25/4*b**2 = 0. Calculate b.
-2, -1
Suppose c = 2*a - 4, 2 = 3*c - 5*a + 10. Suppose 0*n - 8 = -c*n. Factor 2*m + 2*m**3 - 13*m**3 + 8*m**n + m**3 + 0*m.
-2*m*(m - 1)*(5*m + 1)
Suppose 1343*m + 3872 + 306*m**2 - 206*m**2 + 241*m + 4*m**3 - 268*m**2 = 0. Calculate m.
-2, 22
Let r(x) be the first derivative of 5/12*x**2 + 13 + 5/18*x**3 - 5/3*x. Factor r(o).
5*(o - 1)*(o + 2)/6
Let w(a) be the third derivative of a**5/20 + 19*a**4/4 + 37*a**3/2 + 535*a**2. Find c, given that w(c) = 0.
-37, -1
Let r(t) be the third derivative of t**6/240 + 23*t**5/120 + 143*t**4/48 + 121*t**3/12 + t**2 + 157. What is m in r(m) = 0?
-11, -1
Let l(g) be the third derivative of -g**6/192 + 43*g**5/480 - 11*g**4/96 - g**3/3 + 135*g**2. Suppose l(y) = 0. What is y?
-2/5, 1, 8
Suppose -3*l = c + 4, c - 2*l = -2*c + 21. Suppose 2*z = -c + 11. Factor 6*m**3 + 7*m**z - 4*m**2 - 15*m**3.
-2*m**2*(m + 2)
Let j(b) = b**3 + b**2 - b - 2. Let m(r) = -49*r**3 + 676*r**2 - 2106*r + 348. Let s(n) = -6*j(n) + m(n). Factor s(w).
-5*(w - 6)**2*(11*w - 2)
Let y(z) be the third derivative of -z**5/36 + 185*z**4/6 - 13690*z**3 + 7*z**2 + 15. Factor y(x).
-5*(x - 222)**2/3
Let f(u) be the second derivative of -u**6/195 + u**5/130 + u**4/39 - u + 4. Factor f(s).
-2*s**2*(s - 2)*(s + 1)/13
Suppose -i = -3, 4*m + i = 2*m + 11. Let h(s) be the first derivative of -5*s**2 + 1 - 3/2*s**m - 1/5*s**5 - 3*s - 4*s**3. Factor h(a).
-(a + 1)**3*(a + 3)
Let a(u) be the first derivative of u**3/9 - u**2 - 7*u/3 - 12. Let a(g) = 0. What is g?
-1, 7
Let p(h) be the second derivative of 8*h**2 + 0 - 1/3*h**4 + 25*h - 2*h**3. Solve p(a) = 0.
-4, 1
Let c be (-27 - -28) + 4*11. Determine b, given that -5*b**3 - 125 - 22*b - 25*b + c*b**2 + 9*b - 37*b = 0.
-1, 5
Let t be (-402)/45*(-3)/6 + -5. Let v = 47/60 + t. Solve v*o**3 - 3/4*o**2 + 0 + 0*o = 0 for o.
0, 3
Let m be 22/(-11) + 25 + 1. Suppose 0 = 4*y - 20, 4*y = -0*z - z + m. Factor l**2 + 0*l**3 - 1/2*l**5 - l**z + 0 + 1/2*l.
-l*(l - 1)*(l + 1)**3/2
Factor -32*q + 0 + 4/5*q**2.
4*q*(q - 40)/5
Let l(t) = 8*t**2 + 68*t. Let n(z) = 25*z**2 + 205*z. Let j(k) = -8*l(k) + 3*n(k). Let c(o) = -3*o**2 - 18*o. Let g(u) = -9*c(u) - 2*j(u). Factor g(i).
5*i*(i + 4)
Let a(h) = -h**3 + 9*h**2 - h + 13. Let v be a(9). Let u be (-2 - -5)*v/6. Factor 6*l**3 + u*l**4 - 3*l**2 - l**5 - 7*l**2 - l**5 + 4*l + 0*l**4.
-2*l*(l - 1)**3*(l + 2)
Factor 64/9 + 2/9*n**3 + 38/9*n**2 + 100/9*n.
2*(n + 1)*(n + 2)*(n + 16)/9
Let s(r) = -60*r**3 + 71*r**2 - 45*r - 108. Let y(x) = 21*x**3 - 24*x**2 + 15*x + 36. Let z(j) = 6*s(j) + 17*y(j). Factor z(k).
-3*(k - 4)*(k - 3)*(k + 1)
Suppose -10*n = -9*n - 15. Let u be ((-30)/(-25))/(6/n). Factor 4/5 + 0*b - 3/5*b**2 + 1/5*b**u.
(b - 2)**2*(b + 1)/5
Find v such that 5/2 - 2*v**4 + 4*v**3 - 17/4*v + 1/4*v**5 - 1/2*v**2 = 0.
-1, 1, 2, 5
Let a(c) be the second derivative of -5*c**4/12 - 125*c**3 - 745*c**2/2 - 599*c. Factor a(h).
-5*(h + 1)*(h + 149)
Let p(q) be the first derivative of q**6/18 - 8*q**5/15 + 4*q**4/3 - 2*q**3/9 - 17*q**2/6 + 10*q/3 + 628. Determine g, given that p(g) = 0.
-1, 1, 2, 5
Let h = -2839/10 + 284. Let i(d) be the second derivative of 0 - h*d**6 + 3*d + 0*d**4 + 0*d**2 + 0*d**3 - 3/20*d**5. Factor i(z).
-3*z**3*(z + 1)
Let a(q) be the third derivative of 1/2*q**4 - 6*q**3 + 2*q**2 - 1/60*q**5 + 0 + 0*q. Solve a(d) = 0.
6
Suppose -87*y - 24 = -95*y. What is p in -12/7*p + 24/7 - 6/7*p**2 + 3/7*p**y = 0?
-2, 2
Suppose 0 = 3*f + 12, -a - f - 3 = -1. Let w(j) be the first derivative of 1/2*j**a - 3 - 4/9*j**3 + 0*j + 1/12*j**4. Factor w(x).
x*(x - 3)*(x - 1)/3
Let k(q) be the third derivative of -q**6/60 + 8*q**5/15 + 35*q**4/12 + 6*q**3 + 19*q**2 - 4. Solve k(i) = 0 for i.
-1, 18
Let a(v) = 2*v**2 + 29*v + 22. Let l(k) = 43*k - 13*k + 21 + 8*k**2 - 5*k**2. Let u(d) = -6*a(d) + 5*l(d). Factor u(z).
3*(z - 9)*(z + 1)
Let u be (2/(-3))/2 - 56/(-24). Determine t so that -2*t**2 - 15*t - t**2 - u*t**2 + 20*t = 0.
0, 1
Let m(g) = 2*g**2 - 14*g + 12. Let t be m(6). Suppose -6*z**2 - 3 - 9*z + t*z**2 + z**2 - 4*z**2 - 3*z**3 = 0. Calculate z.
-1
Let t(u) be the first derivative of -u**3/6 - 11*u**2/2 - 173. Determine x, given that t(x) = 0.
-22, 0
Let l(g) be the second derivative of -3/4*g**4 + 7/2*g**3 + 9*g**2 + 0 + 8*g. Factor l(k).
-3*(k - 3)*(3*k + 2)
Let r = 1977 - 3937/2. Let t = 257/2 + -126. Factor r*x**3 + 0 - t*x**4 - 8*x**2 + 2*x.
-x*(x - 2)*(x - 1)*(5*x - 2)/2
Let o(c) be the third derivative of c**8/336 + c**7/168 - c**6/36 + 5*c**3/6 - 2*c**2 + 4. Let y(k) be the first derivative of o(k). Factor y(z).
5*z**2*(z - 1)*(z + 2)
Let h(q) be the second derivative of -1/2*q**3 - 9/4*q**2 - 1/24*q**4 + 0 - 22*q. Suppose h(d) = 0. What is d?
-3
Let y(x) be the first derivative of x**5/15 + 2*x**4/3 - x**3/9 - 4*x**2/3 - 6. Factor y(z).
z*(z - 1)*(z + 1)*(z + 8)/3
Let h be 216/(-12)*-1 + -15. Determine i, given that 864/5*i - 216/5*i**2 - 1/5*i**4 + 24/5*i**h - 1296/5 = 0.
6
Let z(j) be the third derivative of j**7/70 - 37*j**6/40 + 323*j**5/20 + 361*j**4/8 + 2*j**2 - 28. Let z(o) = 0. What is o?
-1, 0, 19
Let b(u) be the third derivative of 0*u**4 + 1/1680*u**7 + 1/48*u**3 - 1/240*u**5 - 5*u**2 + 0*u + 0 + 0*u**6. Solve b(j) = 0 for j.
-1, 1
Factor 1/2*t**3 + 252*t - 810 - 41/2*t**2.
(t - 18)**2*(t - 5)/2
Determine i so that 133*i - 3077*i**2 - 4*i**3 - i + 2*i + 26*i + 3005*i**2 = 0.
-20, 0, 2
Let o = 19549 - 136835/7. Suppose -o - 2/7*z**2 + 10/7*z = 0. What is z?
1, 4
Let x**4 - 12*x**2 - 28 + 69 + 4*x**3 - 41 = 0. Calculate x.
-6, 0, 2
Factor 2*a**