**5/40 + z**4/6 - 13*z**3/12 - 15*z**2/8 - 158*z. Let x(v) = 0. What is v?
-3, -1, -5/7, 1
Let h(f) = -f**3 - f**2 + 9*f + 1. Let t(g) = -8*g**3 - 4*g**2 + 61*g + 7. Let w(u) = -7*h(u) + t(u). Find b such that w(b) = 0.
0, 1, 2
Let f be ((-33)/55)/((-1)/10). Suppose -f + 8 = y. Factor -7*p**2 - 4*p**3 + 2*p**2 + 2*p**3 + p**y.
-2*p**2*(p + 2)
Let x(d) be the third derivative of d**7/630 - 23*d**6/360 + 9*d**5/10 - 85*d**4/18 + 100*d**3/9 - 4*d**2 + 105*d. What is c in x(c) = 0?
1, 2, 10
Let y(t) = 6*t**2 - 5*t + 6. Let l(w) = 2*w**2 - 2*w + 2. Let p(c) = c - 7. Let d = -18 - -31. Let o be p(d). Let j(s) = o*y(s) - 17*l(s). Factor j(r).
2*(r + 1)**2
Factor m**2 - 118 + m**2 + 48*m + 46*m + 34*m - 12*m.
2*(m - 1)*(m + 59)
Let o = 64 + -113. Let r = o - -52. Suppose -2/7 + 6/7*m**4 - 4/7*m**2 - 8/7*m**r + 8/7*m = 0. Calculate m.
-1, 1/3, 1
Let b = -373 + 373. Let j(x) be the second derivative of 0*x**2 - 1/54*x**4 - 1/27*x**3 + b + 3*x. Factor j(c).
-2*c*(c + 1)/9
Suppose -2*f = -2*i + 8, -34*i - 3*f = -29*i + 12. Solve 0*a**2 - 2/5*a**3 + 0 + i*a + 1/5*a**4 = 0.
0, 2
Let w = -22 + 25. Let u be ((-2)/4)/(w/(-18)). Factor -2*v**u + 4*v**3 - 99 + 150*v - 151 - 30*v**2.
2*(v - 5)**3
Let q be (63/42)/(6/76). Determine u, given that q*u**3 - 14*u**3 - 15*u**2 - 10*u + 5*u**4 - 5*u**3 = 0.
-1, 0, 2
Suppose -63*n - 32 = -4*a - 59*n, 2*n = -8. Find q, given that -12/5*q**3 + 4/5*q**a + 8/5*q**2 + 0*q + 0 = 0.
0, 1, 2
Let z(p) be the second derivative of 13*p + 3/16*p**4 + 0*p**3 + 0 - 3/2*p**2 + 3/80*p**5. Factor z(d).
3*(d - 1)*(d + 2)**2/4
Let f(b) be the third derivative of b**6/120 + b**5/15 + b**4/6 + b**3/3 - 10*b**2. Let c be f(-2). Factor -12*h**c - 8*h + 10*h**3 + 3*h**3 - h**3 + 8*h**3.
4*h*(h - 1)*(5*h + 2)
Let y(q) = 7*q - 5. Let i(f) = 4*f - 2. Let z(p) = 5*i(p) - 3*y(p). Let w be z(3). What is v in -3 - v**2 - 4*v**2 + 2*v**w - 6*v = 0?
-1
Let m = 84 - 84. Let v be (-32)/20 - ((-3 - m) + 1). Factor -2/5*y + 0 + v*y**2.
2*y*(y - 1)/5
Let b(o) be the first derivative of -3*o**5/10 + 13*o**4/8 - 19*o**3/6 + 11*o**2/4 - o - 5. Solve b(m) = 0 for m.
1/3, 1, 2
Find l such that 18/5 + 6/5*l + 2/5*l**3 - 2*l**2 = 0.
-1, 3
Let o(c) = c**3 - 15*c**2 + 2*c - 28. Let n be o(15). Let m be 3 - (-2 - n - -9 - 2). What is b in m + 0*b + 1/3*b**3 - b**2 = 0?
0, 3
Let k(w) = 4 - 2*w**4 + 3 + 0*w**4 - 2*w**2 - 4 + 7*w**3. Let c(a) = 2*a**4 - 6*a**3 + 2*a**2 - 2. Let i(z) = -6*c(z) - 4*k(z). Suppose i(g) = 0. Calculate g.
0, 1
Let u(b) = 8*b**2 + 165 + b**3 - 4*b - 3*b - 155. Let h(t) = -t**3 - 9*t**2 + 7*t - 11. Let y(w) = -6*h(w) - 7*u(w). Solve y(m) = 0.
-4, 1
Let n(m) = -2*m**2 - m - 2. Let c be n(-2). Let d = -6 - c. Factor -57 + 57 - 2*u**2 - d*u.
-2*u*(u + 1)
Suppose -6 = -6*n - 36. Let r be 7/2 + n/10. Solve 22*v + 26*v**2 - v**3 + 6*v**3 - r*v**3 + 4 + 6*v**3 = 0.
-2, -1, -1/4
Let l(f) be the third derivative of f**6/30 + 8*f**5/15 - 3*f**4/2 - 11*f**2 - 4*f. Solve l(c) = 0.
-9, 0, 1
Let z(j) be the third derivative of 1/30*j**7 - 1/24*j**4 + 5*j**2 - 1/3*j**3 + 0 + 0*j + 1/4*j**5 - 19/120*j**6. Factor z(x).
(x - 1)**3*(7*x + 2)
Let u(t) be the first derivative of -5/6*t**4 + 0*t - 2/3*t**3 + 2*t**2 - 7/15*t**5 - 1/10*t**6 + 2. Let m(a) be the second derivative of u(a). Factor m(b).
-4*(b + 1)**2*(3*b + 1)
Let k(f) be the second derivative of -f**5/90 + f**4/36 - 33*f**2/2 - f + 8. Let j(u) be the first derivative of k(u). Factor j(w).
-2*w*(w - 1)/3
Determine h so that 3500*h + 126*h**2 - h**3 - 854*h + 18522 + 2*h**3 + h**3 = 0.
-21
Let l be (-18)/(-5) + 2/5. Factor -v**2 - 2*v**3 + 1 + 3*v**2 + 0*v**2 + 19*v**l - v**5 - 22*v**4 + 3*v.
-(v - 1)*(v + 1)**4
Let b(x) = 7*x**3 - 2*x**2 - 3*x + 4. Let y be b(1). Suppose 0*o + y = 3*o. Determine f so that 4/7*f**o + 0*f**3 + 0*f - 2/7*f**4 - 2/7 = 0.
-1, 1
Let v = 225 - 236. Let f = v + 14. Factor 0 + 3*l**2 - f*l - 3/4*l**3.
-3*l*(l - 2)**2/4
Let s(j) be the third derivative of -j**5/160 + 57*j**4/32 - 3249*j**3/16 + 2*j**2 - j. Factor s(f).
-3*(f - 57)**2/8
Let k(h) be the first derivative of h**4/4 - 5*h**3/3 + 400. Factor k(z).
z**2*(z - 5)
Let k(a) = a**2 + 3*a - 206. Let h be k(-16). Suppose 2/11*x**3 - 6/11*x**h - 2/11 + 6/11*x = 0. Calculate x.
1
Let d = 580 + -6959/12. Let m(z) be the first derivative of -5 - 4*z**2 + 2*z - d*z**6 + 25/6*z**3 + 7/10*z**5 - 19/8*z**4. Factor m(h).
-(h - 2)**2*(h - 1)**3/2
Let a(o) = -24*o + 9. Let i be a(2). Let z = -39 - i. Factor 3/7*q**2 + z - 6/7*q.
3*q*(q - 2)/7
Let r = 6 + -8. Let w be -1*(r + 0/(-1)). Factor 0*k + 3*k + w*k + 0 - 2*k**2 - 2.
-(k - 2)*(2*k - 1)
Solve -5141*u**5 + 5137*u**5 - 300*u - 1240*u**2 - u**4 - 143*u**3 + 68*u**4 = 0 for u.
-3, -1/4, 0, 10
Let s(x) be the first derivative of -2*x**5/5 - 5*x**4/6 + 7*x**3/3 + 2*x**2 - 16*x + 28. Let k(t) be the first derivative of s(t). Find h such that k(h) = 0.
-2, -1/4, 1
Let z(d) be the first derivative of 0*d**2 + 3/140*d**5 - 6*d - 6 - 1/21*d**3 + 1/84*d**4. Let l(n) be the first derivative of z(n). Let l(u) = 0. Calculate u.
-1, 0, 2/3
Let y(o) = -4*o - 17. Let j be y(-5). Factor 9*t**3 + 4*t - 16 - 5*t - 15*t + 4*t**2 - 5*t**j.
4*(t - 2)*(t + 1)*(t + 2)
Let f be (3 - 2) + 10796/(-3600) + 2. Let v(r) be the third derivative of 0 + 1/450*r**5 + 0*r + 0*r**4 + 0*r**3 - f*r**6 + 3*r**2. Factor v(s).
-2*s**2*(s - 1)/15
Factor 3/4*l**2 + 1875 + 75*l.
3*(l + 50)**2/4
Let r = 11 - 23. Let c be 3/r - (-1 + 4)/(-6). Suppose c - 1/4*p**2 - p**3 + p = 0. What is p?
-1, -1/4, 1
Let p(v) be the second derivative of -v**4/12 - 5*v**3/3 - 57*v. Solve p(b) = 0.
-10, 0
Suppose 0 = 46*f - 105 - 125. Let s(b) be the second derivative of 0 + 0*b**3 - 1/30*b**4 - 1/50*b**f + 0*b**2 - 5*b. Factor s(u).
-2*u**2*(u + 1)/5
Let k(g) = -g - 6. Let y be k(-4). Let x be 0*(-2)/4 - (y - 0). Factor -7/3*s + 2/3*s**4 - x*s**2 - 2/3 + 1/3*s**3.
(s - 2)*(s + 1)**2*(2*s + 1)/3
Factor 11 - 118*j - 3 + 2*j**2 + 126*j.
2*(j + 2)**2
Factor -12/7 + 24/7*l**3 - 48/7*l**2 - 4/7*l**4 + 40/7*l.
-4*(l - 3)*(l - 1)**3/7
Let v(u) be the third derivative of 7/120*u**6 + 1/8*u**5 + 7*u**2 + 0*u + 0 - 1/4*u**4 - 2/3*u**3. Let s(j) be the first derivative of v(j). Factor s(b).
3*(b + 1)*(7*b - 2)
Let x = 70 - 68. Suppose x = d, 3*i + 4*d - 2 = 12. Solve 4/3*r**i + 0 + 2/3*r**3 - 2*r = 0.
-3, 0, 1
Let f be (0/2)/(-2 + 0 + -1). Let y be (0/(-3 + 0))/(f + -2). Factor y + 0*d - 2/3*d**2 - 6*d**4 + 4*d**3.
-2*d**2*(3*d - 1)**2/3
Let o(y) = -y**3 + y**2 + 2. Let u(z) = -20*z**3 - 90*z**2 + 210*z + 90. Let w(j) = -5*o(j) + u(j). Find k, given that w(k) = 0.
-8, -1/3, 2
Let m(h) be the third derivative of -143*h**6/40 + 72*h**5/5 - 147*h**4/8 + h**3 - 2*h**2 - 5*h. What is q in m(q) = 0?
2/143, 1
Let j(g) be the first derivative of -g**3/5 + 69*g**2/10 + 72*g/5 + 400. What is b in j(b) = 0?
-1, 24
Factor 0*b**2 - 135*b - 4*b**2 + 7*b**2 - 8*b**2.
-5*b*(b + 27)
Factor -2/7*f**3 - 6*f + 20/7 + 24/7*f**2.
-2*(f - 10)*(f - 1)**2/7
Let y = 48345/7 + -6879. Suppose y*x - 15/7*x**5 + 96/7 - 30*x**2 + 114/7*x**4 - 177/7*x**3 = 0. What is x?
-1, -2/5, 1, 4
Let v(a) be the first derivative of 5 + 0*a - 3/4*a**4 - 3/10*a**5 + 9/2*a**2 + 5/2*a**3. Find c, given that v(c) = 0.
-3, -1, 0, 2
Let w(a) be the first derivative of -a**4/6 + a**3 + 4*a**2 + 4*a - 11. Let x(o) be the first derivative of w(o). Factor x(b).
-2*(b - 4)*(b + 1)
Suppose -9*r + 4*r + 3*q = -5, -q - 15 = -5*r. Let f be (-736)/(-440) + r/(-10). Factor 52/11*o**2 + f*o**3 - 16/11*o + 0.
2*o*(o + 4)*(7*o - 2)/11
Let d = 1153 - 1150. Let s(m) be the second derivative of -4/9*m**4 + 0 - 5*m + 2/3*m**2 + 8/3*m**5 - 11/9*m**d. Factor s(t).
2*(4*t - 1)**2*(5*t + 2)/3
Let s(q) be the third derivative of 0 - 1/2352*q**8 - 1/420*q**5 + 0*q**4 + 4*q**2 + 1/1470*q**7 + 1/840*q**6 + 0*q**3 + 0*q. Suppose s(c) = 0. What is c?
-1, 0, 1
Let i = 80/13 + -227/39. Let p(d) be the first derivative of 6*d**3 - 3/2*d**4 - 2*d**5 + 0*d**2 + 8 - i*d**6 + 0*d. Factor p(b).
-2*b**2*(b - 1)*(b + 3)**2
Factor 4/3*z**2 - 2*z + 0 - 2/9*z**3.
-2*z*(z - 3)**2/9
Suppose s + 4*l - 11 = 0, -5*s + 49 = -2*l + 38. Find d such that -1/2*d**2 + d**5 + d - 2*d**s + 1/4*d**4 + 1/4 = 0.
-1, -1/4, 1
Factor -1/3*r**2 + 1/3*r**4 + 0 + 2/3*r**3 - 2/3*r.
r*(r - 1)*(r + 1)*(r + 2)/3
Factor 2/11*c**4 + 16/11*c**3 + 10/11 + 36/11*c**2 + 32/11