 u**3 + u**2 - 2*u - 2. Let z be w(3). Solve -5*m**5 - 231*m**3 + 8*m - 3*m**5 - 8*m**2 + 199*m**3 - z*m**4 + 4 = 0.
-1, 1/2
Solve -18/5 - 1/5*d**2 - 19/5*d = 0.
-18, -1
Let s(x) = -58*x**4 - 324*x**3 - 465*x**2 - 95*x - 6. Let y(n) = -175*n**4 - 974*n**3 - 1395*n**2 - 286*n - 18. Let v(i) = -17*s(i) + 6*y(i). Factor v(k).
-(k + 2)*(k + 3)*(8*k + 1)**2
Suppose 3*a = 12, -3*m + 2*a + 3*a = 8. Let -8*t**m + 2*t**4 - 2*t**4 - 17*t**5 + 5*t**5 + 8*t**2 + 12*t**3 = 0. What is t?
-1, -2/3, 0, 1
Let b(w) be the first derivative of w**6/48 - 17*w**5/40 + 53*w**4/16 - 145*w**3/12 + 325*w**2/16 - 125*w/8 + 37. Factor b(i).
(i - 5)**3*(i - 1)**2/8
Suppose 3*l + 17 = 2*s, -2 = 5*s + 2*l - 16. Let c(g) be the first derivative of 0*g + 1/21*g**3 + 1/28*g**s - 1/7*g**2 + 2. Factor c(q).
q*(q - 1)*(q + 2)/7
Let o(u) = -2*u**4 + 14*u**3 + 10*u**2 + 6*u + 12. Let s(t) = -t**3 - t**2 - t - 1. Let a(f) = -o(f) - 10*s(f). What is h in a(h) = 0?
-1, 1
Let z(m) be the first derivative of 0*m**4 - 4 + 2*m - 1/10*m**5 + 1/3*m**3 + 0*m**2. Let k(d) be the first derivative of z(d). Factor k(l).
-2*l*(l - 1)*(l + 1)
Let k(r) = 3*r**2 + 2*r - 3. Let n be k(1). Suppose -6 = -4*i + n*i. Solve 6/5*y + 2/5*y**i + 6/5*y**2 + 2/5 = 0 for y.
-1
Let l(h) be the first derivative of -h**6/24 - h**5/20 + 3*h**4/8 - h**3/6 - 5*h**2/8 + 3*h/4 - 175. Factor l(x).
-(x - 1)**3*(x + 1)*(x + 3)/4
Let l(d) be the third derivative of d**9/3024 + d**8/1344 + d**4/8 + 18*d**2. Let y(o) be the second derivative of l(o). Determine p so that y(p) = 0.
-1, 0
Let x = 1339/10 + -134. Let u = x + 3/5. Determine g, given that 1 - u*g - 3/2*g**2 + 1/2*g**3 + 1/2*g**4 = 0.
-2, -1, 1
Let x(d) = d**3 - 2*d + 3. Let i be x(0). Let g(o) be the first derivative of -2/3*o**6 + 9/5*o**5 + 0*o**2 - 2 - 1/2*o**4 + 0*o + 0*o**i. Factor g(w).
-w**3*(w - 2)*(4*w - 1)
Let c(y) be the first derivative of y**3/3 - 3*y**2/2 - 3*y - 3. Let m be c(-9). What is b in 18*b**4 - 9*b - 75*b**3 - 15*b + m*b**2 - 36*b + 12 = 0?
1/2, 2/3, 1, 2
Let y(c) = 2*c**2 + 1. Let m(k) = 5*k**2 + 16*k + 66. Let g(x) = 3*m(x) - 6*y(x). Find o, given that g(o) = 0.
-8
Let v be 2025/(-36)*(-2)/1. Suppose 375/4*j**3 - 6 - v*j**2 + 45*j = 0. What is j?
2/5
Let x(j) be the third derivative of 0*j - 1/24*j**4 - 1/360*j**5 + 0 + 4*j**2 - 5/36*j**3. Factor x(k).
-(k + 1)*(k + 5)/6
Let q(s) be the second derivative of 0*s**2 - 3*s**3 + 1/5*s**5 - 1/21*s**7 - 10*s + 0 - 4/15*s**6 + 2*s**4. Factor q(f).
-2*f*(f - 1)**2*(f + 3)**2
Let a(m) be the second derivative of m**5/160 + 5*m**4/96 - 13*m**3/48 + 7*m**2/16 + 137*m. Find c such that a(c) = 0.
-7, 1
Let m be ((-224)/147)/(-4) + 2/7. Factor 0*h - m*h**2 + 2*h**3 + 0 - 4/3*h**4.
-2*h**2*(h - 1)*(2*h - 1)/3
Suppose -33 = -14*w + 37. Factor 3*g**2 + 29 - 39*g + 12 - w.
3*(g - 12)*(g - 1)
Suppose -5*g + 15 = -0*g - 4*m, 0 = -2*g + 5*m + 6. Factor g*i - 2*i - i - i + i**2.
i*(i - 1)
Suppose -3*m + 6*m + 2*p - 6 = 0, -3*m = 4*p. Factor -5*a**m - 89*a - 10*a**3 + 89*a.
-5*a**3*(a + 2)
Let n(z) be the third derivative of z**8/16 + 13*z**7/35 + 27*z**6/40 + z**5/5 - z**4/2 + 252*z**2. Determine f so that n(f) = 0.
-2, -1, 0, 2/7
Let d(n) be the second derivative of n**4/3 + 404*n**3/3 + 20402*n**2 - 380*n. Let d(x) = 0. What is x?
-101
Let 1/9 + 5/3*z**3 + 13/9*z**2 - 5/3*z - 14/9*z**4 = 0. What is z?
-1, 1/14, 1
Factor 3/2*g - 1/4*g**2 - 2.
-(g - 4)*(g - 2)/4
Let p(d) be the third derivative of -d**7/525 + 19*d**6/100 + 59*d**5/150 - 19*d**4/20 - 58*d**3/15 - 428*d**2. Suppose p(v) = 0. What is v?
-1, 1, 58
Factor -11*j**4 - 68*j**2 + 180*j - 49*j**2 + 7*j**4 - 96 + 9*j**3 + 7*j**4 + 21*j**2.
3*(j - 2)**2*(j - 1)*(j + 8)
Suppose h - 3*s = 5*h - 8, -h + s = -2. Let b be (4 - 4)/(-1*h). Let -1/4*o + 0*o**2 + 0 - 1/4*o**5 + b*o**4 + 1/2*o**3 = 0. What is o?
-1, 0, 1
What is b in 11/2*b**3 + 16 + 1/2*b**4 + 32*b + 21*b**2 = 0?
-4, -2, -1
Let q(u) be the first derivative of -u**4 + 176*u**3/3 + 2*u**2 - 176*u + 425. Factor q(z).
-4*(z - 44)*(z - 1)*(z + 1)
Let z(p) = 6*p - 138. Let j be z(23). Let x(t) be the second derivative of 1/3*t**3 + 0 - 6*t - 1/3*t**4 + j*t**2 + 1/10*t**5. Solve x(k) = 0 for k.
0, 1
Let k(o) = 11*o**2 + 73*o + 3. Let g(i) = 20*i**2 + 145*i + 5. Let m(p) = -3*g(p) + 5*k(p). What is x in m(x) = 0?
-14, 0
Let h(s) = 29*s**3 + 10*s**2 + s - 31. Let v(z) = 10*z**3 + 3*z**2 - 11. Let q(t) = -6*h(t) + 17*v(t). Factor q(f).
-(f + 1)**2*(4*f + 1)
Factor -3/5*o**2 - 48/5*o + 51/5.
-3*(o - 1)*(o + 17)/5
Factor 132*z**3 + 22*z**4 + 3 - 18*z**4 + 428*z + 0 - 147 - 420*z**2.
4*(z - 1)**3*(z + 36)
Factor 175 - 92 - 16*i - 11*i - 5*i - 131 + 196*i**2 - 60*i**3.
-4*(i - 3)*(3*i - 2)*(5*i + 2)
Factor 34/3*d + 2/3*d**3 + 12*d**2 + 0.
2*d*(d + 1)*(d + 17)/3
Let p(u) be the first derivative of u**6/24 - 9*u**5/20 + 5*u**4/4 + 5*u**3/3 - 12*u**2 + 16*u + 541. Solve p(o) = 0.
-2, 1, 2, 4
Let w(h) be the third derivative of 0 + 11*h**2 + 0*h - 5/6*h**4 - 4/3*h**3 - 2/15*h**5. Factor w(z).
-4*(z + 2)*(2*z + 1)
Let n(b) be the second derivative of b**4/36 - b**3 + 89*b. Factor n(z).
z*(z - 18)/3
Let r(c) be the first derivative of 7*c**4/26 + 12*c**3/13 - 12*c**2 + 368*c/13 + 905. What is a in r(a) = 0?
-46/7, 2
Let a(c) be the second derivative of c**7/49 + c**6/10 + 9*c**5/70 - c**4/7 - 4*c**3/7 - 9*c**2/14 + 9*c. Find f, given that a(f) = 0.
-3/2, -1, 1
Let l be 21/6 - (-1)/(-2). Solve 142*y - 87*y**2 - 21*y**2 - 5184 - l*y**3 - 1438*y = 0 for y.
-12
Let i(v) = -v**3 - 6*v**2 + 8*v + 6. Let b be i(-7). Let q be (b - 26/(-10))/(3 - 1). Factor 0 - q*d**3 + 2/5*d + 2/5*d**2.
-2*d*(d - 1)*(2*d + 1)/5
Let j(t) be the third derivative of t**7/1960 - t**6/105 + 3*t**5/40 - 9*t**4/28 + 7*t**3/6 + 25*t**2. Let u(m) be the first derivative of j(m). Factor u(y).
3*(y - 3)**2*(y - 2)/7
Let b be (-2)/14*(27 - 27). Let n(u) be the first derivative of 2/9*u**3 + 0*u**4 + 0*u**2 + b*u + 4 - 2/15*u**5. Factor n(x).
-2*x**2*(x - 1)*(x + 1)/3
Let a(c) be the second derivative of c**7/14 - 5*c**6/24 + c**5/12 + 5*c**4/24 + 6*c**2 - c. Let z(s) be the first derivative of a(s). Let z(v) = 0. What is v?
-1/3, 0, 1
Let q be (-9)/((-405)/1405) + (-4)/18. Suppose 0 = r - 4*k + 17, -q = 2*r - 4*r - 5*k. Let 3/2*a**r + 1/2*a**2 - 1/2 - 3/2*a = 0. Calculate a.
-1, -1/3, 1
Let p(j) be the second derivative of -j**6/50 - 21*j**5/100 + 2*j - 95. Factor p(l).
-3*l**3*(l + 7)/5
Let -4*r**5 - 24*r**4 - 268*r**3 + 268*r**3 = 0. What is r?
-6, 0
Let s be (3/5)/((-9)/(-30)). Factor -2*y**s - y**5 + 29 - 29 + 2*y**4 + y.
-y*(y - 1)**3*(y + 1)
Let y = -11811/7 + 1689. Suppose 64/7*o - y*o**2 - 20/7 = 0. Calculate o.
1/3, 5
Let n(l) = 224*l**2 + 19*l. Let t(g) = g**2 + g. Let k(p) = -n(p) + 4*t(p). Factor k(b).
-5*b*(44*b + 3)
Solve -70 - 65 + 31 - 10*g - 3*g - 2*g**4 + 78*g**2 + 21*g + 20*g**3 = 0.
-2, 1, 13
Let m(s) be the second derivative of s**5/5 + 16*s**4/3 - 70*s**3/3 + 36*s**2 - 567*s. Let m(u) = 0. Calculate u.
-18, 1
Let f(u) be the second derivative of -2/7*u**3 - 1/42*u**4 - 12*u + u**2 - 2. Let f(b) = 0. What is b?
-7, 1
Suppose -6 = 70*q - 72*q. Let p be 6 - (-1)/(2/(-4)). Let p*f**4 - 6*f**3 - q*f**4 + 8*f + f**4 = 0. What is f?
-1, 0, 2
Let w be 8 + (-492)/30 - -12. Determine h so that -w*h**2 + 4/5 - 14/5*h = 0.
-1, 2/9
Let m(q) be the first derivative of 2/5*q**4 - 4/25*q**5 + 0*q**3 - 16 - 4/5*q**2 + 4/5*q. Suppose m(x) = 0. Calculate x.
-1, 1
Let a be ((9 - 12) + (-1)/(-2))/((-20)/40). Find o such that -3 + 21*o**3 - 9*o**4 + 3/2*o**a - 24*o**2 + 27/2*o = 0.
1, 2
Suppose 244*x - 177 + 32 = 343. What is f in -46/5*f**x - 16/5*f**3 - 56/5*f - 24/5 - 2/5*f**4 = 0?
-3, -2, -1
Find o, given that -22*o**3 - 5*o**4 - 70*o**2 + 48*o**3 + 19*o**3 = 0.
0, 2, 7
Let b = 19 - 14. Let w(i) = i - 3. Let o be w(b). Factor 3*n**5 - 3*n**5 + 4*n**5 - 7*n**4 + 2*n**3 + n**o.
n**2*(n - 1)**2*(4*n + 1)
Suppose -j = 2*y - 15, -3*y - 3*j = -y - 21. Let g(l) be the second derivative of 2/5*l**5 - 3*l - 1/3*l**4 + 0*l**2 + 2/15*l**y + 0 - 4/3*l**3. Factor g(x).
4*x*(x - 1)*(x + 1)*(x + 2)
Let s(v) be the second derivative of -v**6/1620 + v**5/540 + 4*v**3/3 + 7*v. Let k(g) be the second derivative of s(g). Factor k(t).
-2*t*(t - 1)/9
Let j(s) be the first derivative of 45/8*s**6 + 57/8*s**4 + 0*s + 3*s**3 + 5 - 261/20*s**5 - 3*s**2. Determine c so t