ve of -z**3/21 - 10*z**2/7 + 3*z + 179. Solve t(p) = 0.
-21, 1
Factor 0*z + 0*z**2 + 0 - 33/2*z**4 - 9/2*z**3.
-3*z**3*(11*z + 3)/2
Let g be 42/8 - (-10)/(-40). Let s(j) = j**2 - 6*j + 7. Let a be s(g). Let 7*o**2 + 3*o**4 + 9*o**3 - 2*o**a + o**2 = 0. Calculate o.
-2, -1, 0
Let k be (117 - -1) + (0 - -3). Solve 122*f**2 - 2*f**3 - k*f**2 + 2*f + f**3 = 0 for f.
-1, 0, 2
Suppose 5*y + 20 = 5*o, 2*o - 7*o + 10 = 5*y. Let d(v) be the first derivative of 0*v**2 - 4 + 1/12*v**o + 0*v. Factor d(l).
l**2/4
Find z, given that -z**2 - 5/2*z + 5/2*z**3 + 1 = 0.
-1, 2/5, 1
Suppose -1248*d + 0 - 5 = -1249*d. Let 3/8*q**d + 63/8*q - 27/8 + 9/8*q**4 - 9/4*q**3 - 15/4*q**2 = 0. What is q?
-3, 1
Let a(n) be the first derivative of -2*n**5/35 - 15*n**4/14 + 278*n**3/21 - 321*n**2/7 + 396*n/7 + 945. Solve a(d) = 0.
-22, 1, 3
Factor -6*t**2 - 6*t**2 + 4*t**2 - 22 + 7*t**2 - 13*t.
-(t + 2)*(t + 11)
Let y(p) be the first derivative of -p**3 + 30*p**2 - 74. Factor y(t).
-3*t*(t - 20)
Let x(n) be the second derivative of 0*n**4 - 26*n + 0 + 0*n**2 + 1/14*n**7 - 1/10*n**6 - 3/10*n**5 + 0*n**3. Factor x(i).
3*i**3*(i - 2)*(i + 1)
Let w(h) = -5*h - 12*h - 35 + 0*h**2 - 3*h - h**2. Let c be w(-18). Determine x, given that -4*x + 2*x**3 + 2*x - 2*x - c + 4 - x**2 = 0.
-3/2, 1
Let m(k) be the third derivative of -5*k**2 + 0 - 1/15*k**4 - 1/10*k**3 - 1/150*k**5 + 1/75*k**6 + 1/210*k**7 + 0*k. What is d in m(d) = 0?
-1, -3/5, 1
Let f(k) = -5 - 56*k**2 + 57*k**2 + 1 + 5*k. Let s be f(-6). Suppose 7*z + 2*z**2 - 6*z - 2 - 3*z + s*z**3 = 0. What is z?
-1, 1
Let n(j) be the second derivative of -j**4/6 - 2*j**3/3 + 3*j**2 + 50*j. Solve n(d) = 0.
-3, 1
Let q be (148/(-6))/((-156)/(-18)) - (-6)/2. Find h such that q - 4/13*h - 2/13*h**4 + 4/13*h**3 + 0*h**2 = 0.
-1, 1
Let j be 969/1260 + 84/(-112). Let t(q) be the third derivative of 0 + 0*q**3 + 1/30*q**6 - j*q**7 + 1/15*q**5 - 1/6*q**4 + 0*q - 2*q**2. Factor t(z).
-4*z*(z - 1)**2*(z + 1)
Let a(y) be the third derivative of y**9/48384 + y**8/16128 + y**5/12 - 4*y**2. Let m(l) be the third derivative of a(l). Factor m(q).
5*q**2*(q + 1)/4
Factor 35*n**4 + 85*n**3 - 8*n**5 + 125*n**2 + 20 + 8*n**5 + 5*n**5 + 80*n + 10*n**3.
5*(n + 1)**3*(n + 2)**2
Let g(v) be the third derivative of -8*v**2 + 0*v + 1/20*v**5 - 1/2*v**4 + 0 + 3/2*v**3. Factor g(p).
3*(p - 3)*(p - 1)
Let d(t) = 15*t**4 - 30*t**3 - 67*t**2 + 4*t + 2. Let n(m) = 32*m**4 - 59*m**3 - 133*m**2 + 7*m + 5. Let a(i) = -11*d(i) + 6*n(i). Find g, given that a(g) = 0.
-1, -4/9, 1/3, 2
Let g(q) be the second derivative of 44*q + 1/21*q**4 - 2/7*q**2 + 0 + 2/21*q**3 - 1/35*q**5. Factor g(m).
-4*(m - 1)**2*(m + 1)/7
Let v(r) be the third derivative of r**6/360 + 13*r**5/90 + 23*r**4/18 + 44*r**3/9 - r**2 - 10*r. Solve v(d) = 0 for d.
-22, -2
Let q(h) = -9*h - 7. Suppose 7*c = -4 - 3. Let g be q(c). Factor -2/5 + 2/5*r**g - 2/5*r + 2/5*r**3.
2*(r - 1)*(r + 1)**2/5
Suppose 1 = t - 0. Let z be ((-5 - -4)/(-2))/t. Let 3*c**2 + z*c**4 + 2*c + 1/2 + 2*c**3 = 0. What is c?
-1
Let p(k) be the third derivative of 2*k**2 + 0*k + 0*k**3 + 0 - 1/4*k**4 - 1/10*k**6 + 1/4*k**5 + 1/70*k**7. Factor p(h).
3*h*(h - 2)*(h - 1)**2
Solve 31/4*h**3 + 1/4*h**5 - 51/4*h**2 - 3 + 10*h - 9/4*h**4 = 0 for h.
1, 2, 3
Let q(r) be the second derivative of r**6/15 + 3*r**5/5 - 7*r**4/6 - 98*r. Let q(s) = 0. What is s?
-7, 0, 1
Let g = -87 - -89. Suppose -2*z + 3 = -z. Factor -26*l**2 - 10*l - 11*l**3 + g*l**2 - 4*l**z - 3*l**4 - 2*l.
-3*l*(l + 1)*(l + 2)**2
What is t in 60 + 3*t**3 + 183*t**2 + 4*t - 3*t**4 - 96*t + 4*t - 35*t - 120*t**2 = 0?
-5, 1, 4
Factor -10/7*y + 12/7 + 2/7*y**2.
2*(y - 3)*(y - 2)/7
Factor -1/2*i + 1/2*i**3 - 7/10*i**2 + 1/10*i**4 + 3/5.
(i - 1)**2*(i + 1)*(i + 6)/10
Let u(l) be the first derivative of -l**4/5 - 28*l**3/15 + 16*l**2/5 - 34. Factor u(q).
-4*q*(q - 1)*(q + 8)/5
Factor -32/5 - 2/5*s**2 + 16/5*s.
-2*(s - 4)**2/5
Let u(s) = s**3 - 11*s**2 + 12*s - 16. Let f = 265 + -255. Let w be u(f). Let 0 + 4/11*n**3 + 2/11*n**2 - 4/11*n - 2/11*n**w = 0. What is n?
-1, 0, 1, 2
Let l(f) be the first derivative of 3*f**6/140 + f**5/70 - 5*f**4/84 + f**3/21 - 23*f**2/2 - 36. Let i(a) be the second derivative of l(a). Factor i(w).
2*(w + 1)*(3*w - 1)**2/7
Let u(c) be the second derivative of c**6/240 + c**5/160 - c**4/12 - c**3/4 + 57*c - 7. Factor u(p).
p*(p - 3)*(p + 2)**2/8
Suppose 10*q = 12*q - 2. Suppose q - 9 = -4*p. Factor -4*r + 4*r**3 + 4*r - p*r - 3*r**3 - r**2.
r*(r - 2)*(r + 1)
Let a(d) = -d**3 + 2*d**2 - 3*d + 2. Let i be a(2). Let j be (-4 - -10)/((-6)/i). Factor 2*v + 3*v**2 - 11*v - 1 + j*v**3 + 3.
(v - 1)*(v + 2)*(4*v - 1)
Suppose -i + 237*z - 232*z + 10 = 0, 5*i - 6 = 3*z. Factor -2 + i*h**2 + 1/3*h**3 - 7/3*h.
(h - 3)*(h + 1)*(h + 2)/3
Factor 2/9*w**2 - 2 + 0*w.
2*(w - 3)*(w + 3)/9
Let h(q) = q**2 - 4*q - 13. Let l(r) = -2*r**2 + 9*r + 25. Let i(z) = 5*h(z) + 3*l(z). Let s be i(8). Factor -3 + 2*t + 528*t**s - 1 - 526*t**2.
2*(t - 1)*(t + 2)
Let y(h) be the first derivative of -4*h**3/3 + 696*h**2 - 121104*h + 338. Determine o so that y(o) = 0.
174
Let f(w) = -57*w**4 - 22*w**3 + 4*w**2 - 3. Let b(t) = 400*t**4 + 155*t**3 - 30*t**2 + 20. Let d(c) = 3*b(c) + 20*f(c). Factor d(g).
5*g**2*(3*g + 2)*(4*g - 1)
Let k = -885 + 898. Let i(t) be the first derivative of k - 4/9*t**3 + 2/3*t - 1/3*t**2. Find n, given that i(n) = 0.
-1, 1/2
Let j(p) be the first derivative of 5*p**3/3 - 100*p**2 + 195*p - 125. Suppose j(r) = 0. What is r?
1, 39
Let q = -53 + 56. Find g, given that 71*g**q + 271*g**4 - 24*g - 256*g**4 - 17*g**3 + 36*g**2 = 0.
-2, 0, 2/5
Let b(u) = 12*u - 62. Let t be b(14). Let d = 106 - t. Suppose 1/6*l**3 - 1/6*l**4 + d + 0*l + 1/3*l**2 = 0. What is l?
-1, 0, 2
Let j = -1577 - -1577. Let -1/3*a**2 + 1/3*a**4 + j + 1/3*a - 1/3*a**3 = 0. What is a?
-1, 0, 1
Suppose -4*j + 20 = -3*j. Factor 4 + 40*d**2 + 8 - j*d**2 - 4*d**3 - 28*d.
-4*(d - 3)*(d - 1)**2
Let j(p) = -8*p**5 + 3*p**4 - 6*p**3 - 5*p**2 - 4*p. Let z(y) = y**5 + y**4 + y**2 + y. Let x(s) = -3*j(s) - 15*z(s). Find d such that x(d) = 0.
-1/3, 0, 1
Let z(o) be the second derivative of 2/3*o**4 - 54*o + 1/10*o**5 + 5/3*o**3 + 0 + 2*o**2. Factor z(p).
2*(p + 1)**2*(p + 2)
What is x in 26*x**4 - 12*x**4 - 17*x**2 + 24*x**5 - 8*x**5 - 8*x - 19*x**2 + 22*x**4 - 8*x**3 = 0?
-2, -1, -1/4, 0, 1
Solve 5/3*s**2 + 0 + 1/3*s**3 - 8*s = 0 for s.
-8, 0, 3
Suppose -16 - 48/5*t - 4/5*t**2 = 0. What is t?
-10, -2
Let n(b) be the second derivative of b**6/120 + 17*b**5/80 + 33*b**4/16 + 81*b**3/8 + 27*b**2 + 3*b + 42. Factor n(r).
(r + 3)**3*(r + 8)/4
Let z(d) = -15*d**3 - 240*d**2 + 4800*d - 12. Let l(v) = -27*v**3 - 480*v**2 + 9600*v - 22. Let t(a) = 6*l(a) - 11*z(a). Determine m, given that t(m) = 0.
0, 40
Suppose 12 = 9*t - 3*t. Let v be 2/(-2) - (-91 - t). Suppose 34*u**2 + 108*u**3 + 28*u**5 + 18*u**2 + v*u**4 + 18*u - 10*u = 0. Calculate u.
-1, -2/7, 0
Let t(s) = -s**2 - 6*s - 1. Let g be t(-10). Let y = g - -43. Factor 2/5*h + 1/5*h**y + 0.
h*(h + 2)/5
Let d(r) = -35*r**3 - 135*r**2 - 1185*r - 3615. Let c(n) = -n**3 + n + 1. Let x(y) = -30*c(y) + d(y). Factor x(f).
-5*(f + 9)**3
Suppose -w = -2*j + 22 - 14, 3*w + 6 = 0. Let z(b) be the second derivative of -1/4*b**4 - 1/20*b**5 + b**2 + 1/6*b**j + 8*b + 0 + 1/30*b**6. Factor z(d).
(d - 2)*(d - 1)*(d + 1)**2
Let y(g) be the second derivative of g**6/150 + 7*g**5/50 - g**4/15 - 28*g**3/15 - 215*g. Determine l so that y(l) = 0.
-14, -2, 0, 2
Let p(f) be the second derivative of -3/2*f**3 - 2/15*f**6 + 1/10*f**5 + 0*f**2 - 1/42*f**7 + 18*f + f**4 + 0. Factor p(q).
-q*(q - 1)**2*(q + 3)**2
Let s be 16/(-10)*(8 + (-296)/32). Factor -4/3 + 2/3*y**s - 2/3*y.
2*(y - 2)*(y + 1)/3
Suppose 4*r - 110 - 18 = 0. Suppose -5*v - 2*i + 5*i + 62 = 0, 2*i = -4*v + r. Solve -2*d**3 + 5*d**3 + 6 - d**3 - v*d + 2*d**2 = 0 for d.
-3, 1
Let f = 10421 + -1260948/121. Let b = 2227/847 + f. Solve b + 2/7*c**2 - 12/7*c = 0 for c.
3
Let k(m) be the third derivative of m**8/5040 + m**7/420 + m**6/90 - 11*m**5/60 + 9*m**2. Let u(x) be the third derivative of k(x). Factor u(o).
4*(o + 1)*(o + 2)
Suppose 0 = -5*r - 0*r - x - 98, -2*x - 63 = 3*r. Let w = -55/3 - r. Solve 0*f + 0 - w*f**5 + 2/3*f**2 - 2*f**3 + 2*f**4 = 0 for f.
0, 1
Let r(p) be the second derivative of -1/15*p**6 + 0*p**3 + 0 - 1/15*p**4