)
Let z(b) = -6 + 4 + 121*b - 5 + 4. Let q be z(1). Solve -9*j**3 + 4*j**5 - q*j**2 - 3*j**3 + 110*j**2 = 0 for j.
-1, 0, 2
Suppose -13*a = -12*a. Suppose 2*c - 6*c + 12 = a. Suppose -5*h**c + 3*h**2 + 8*h**3 - 3*h - 5*h**2 + 2*h = 0. What is h?
-1/3, 0, 1
Let k(a) = a**3 - 3*a**2 + 2*a - 3. Let x be k(3). Suppose i + 1 - x = 0. Factor -33 - 4*w**2 - i*w**3 + 161 - 96*w + 28*w**2.
-2*(w - 4)**3
Let b(u) = 3*u**2 - 50*u + 678. Let t(v) = -10*v**2 + 149*v - 2035. Let y(g) = 14*b(g) + 4*t(g). Factor y(l).
2*(l - 26)**2
Let w(a) be the second derivative of -a**5/15 - 7*a**4/3 - 98*a**3/3 + 17*a**2/2 - 11*a. Let z(l) be the first derivative of w(l). Solve z(v) = 0.
-7
Let b(g) be the second derivative of -5/27*g**3 + 1/54*g**4 - 2*g + 0 + 4/9*g**2. Factor b(k).
2*(k - 4)*(k - 1)/9
Suppose -6*x + 2*x = -100. Suppose 14*n = 9*n + x. Factor -n*q**5 - 13*q**4 + q**4 - 10*q**3 - 3*q**4.
-5*q**3*(q + 1)*(q + 2)
Factor 2/5*b**3 - 2/5*b**4 + 16/5*b + 0 + 4*b**2.
-2*b*(b - 4)*(b + 1)*(b + 2)/5
Let -3/7*u**2 - 78/7*u + 81/7 = 0. What is u?
-27, 1
Suppose 4*c = 3*m + 9, -13 = -3*c - 9*m + 5*m. Let j be (-52)/(-42) + (-2)/c. Factor 16/7 + 16/7*h + j*h**2.
4*(h + 2)**2/7
Let q(u) = -u**2 + u. Let f(g) = -4*g**3 + 13*g**2 - 6*g. Let o be (-4)/(-14) + 1270/(-35). Let n = -32 - o. Let z(w) = n*q(w) + f(w). Factor z(c).
-c*(c - 2)*(4*c - 1)
Let v be (-225)/(-35) - 100/(-175) - (5 + 0). What is y in 4/15 - 2/15*y**v + 2/15*y = 0?
-1, 2
Let l(k) = -k**2 - 10*k - 22. Let r be l(-6). Factor -15*p + 1 - 16 - 5*p**r - p - 4*p.
-5*(p + 1)*(p + 3)
Let v be 76/18 - (-10)/(-45). Let j = v + 4. Let 3*d**4 - d**4 + 6*d**2 - j*d**2 = 0. What is d?
-1, 0, 1
Let v(r) = r + 21. Let w be v(-28). Let t be 1/(w/(-6) - 18/36). What is u in -6 + 18*u - t*u**4 + 9*u**3 - 39/2*u**2 = 0?
1, 2
Let m = 2708 + -5407/2. Factor -21/2*l + 3 - m*l**3 + 12*l**2.
-3*(l - 1)**2*(3*l - 2)/2
Let q(h) be the third derivative of -30*h**2 + h**3 + 0*h + 5/12*h**4 + 0 - 1/15*h**5. Let q(t) = 0. What is t?
-1/2, 3
Let r be (16/(-4) - -5) + 1. Suppose x = -1 + 3. Factor -3*z**r + 3*z**2 - 2*z**4 + x*z**3.
-2*z**3*(z - 1)
Let -355*x + 17*x**3 - 7*x**3 - 5*x**3 - 76*x**2 - 10*x**3 - 284*x**2 = 0. Calculate x.
-71, -1, 0
Let g(x) be the third derivative of x**7/1260 - x**5/120 - x**4/72 + x**2 - 2*x. Factor g(t).
t*(t - 2)*(t + 1)**2/6
Let k(c) be the third derivative of c**7/840 + c**6/120 - c**5/120 - c**4/8 + 55*c**3/6 - 5*c**2. Let y(n) be the first derivative of k(n). Factor y(u).
(u - 1)*(u + 1)*(u + 3)
Let -2/5*t**2 - 5832/5 + 216/5*t = 0. What is t?
54
Let r(u) = -5*u**2 - 10*u + 65. Let z(d) = 3*d**2 + 5*d - 32. Let v = 60 - 55. Let q(p) = v*z(p) + 2*r(p). Let q(y) = 0. Calculate y.
-3, 2
Let h(b) = -b**2 - 13*b + 2. Let l be h(-11). Find j, given that 50*j - 18*j**2 + j**4 - 2*j**4 + l - 2*j**4 - 15*j**3 - 38*j = 0.
-2, 1
Determine t so that -2/9*t**4 + 28/9 + 2/3*t**2 + 46/9*t - 14/9*t**3 = 0.
-7, -1, 2
Suppose -3/5*u**4 + 6/5*u**2 + 0*u**3 + 0*u - 3/5 = 0. Calculate u.
-1, 1
Let b(p) be the third derivative of p**6/90 - p**5/6 + p**4 + 6*p**3 + 4*p**2. Let t(k) be the first derivative of b(k). Solve t(m) = 0.
2, 3
Suppose 22*a + 6 = 24*a. Factor -5*i - 4*i**a + 2*i**5 + 13*i - 6*i.
2*i*(i - 1)**2*(i + 1)**2
Suppose -18*w + 195 = 21*w. Let m(i) be the first derivative of 2/33*i**3 + 2 + 0*i + 1/11*i**2 - 2/55*i**w - 1/22*i**4. Solve m(r) = 0 for r.
-1, 0, 1
Let m be (-92)/20 - -4 - (-115)/25. Let c(u) = 2*u**2 - 7*u - 4. Let r be c(m). Factor -4/5*n**2 + 0 + r*n - 4/5*n**3.
-4*n**2*(n + 1)/5
Let t = -2227 - -15597/7. Factor t + 8/7*z - 6/7*z**2 - 4/7*z**3 + 2/7*z**4.
2*(z - 2)**2*(z + 1)**2/7
Let m(j) be the second derivative of j**6/60 - j**5/8 + j**4/3 - j**3/3 - j + 11. Determine z, given that m(z) = 0.
0, 1, 2
Let n(p) = -p. Let t be n(-2). Solve -3*j**4 - 7*j**2 + 9*j**3 + 7*j**t + 9*j**2 + 3*j**2 = 0 for j.
-1, 0, 4
Let l(n) be the second derivative of -n**4/20 - 19*n**3/10 - 27*n**2/5 - 105*n. Factor l(z).
-3*(z + 1)*(z + 18)/5
Suppose -15*k = -11*k + 12. Let b(j) = -7*j**3 + 8*j**2 - j + 8. Let f(l) = l**3 - l**2 - 1. Let o(n) = k*b(n) - 24*f(n). Factor o(u).
-3*u*(u - 1)*(u + 1)
Let o(y) be the third derivative of y**7/70 - 3*y**5/10 + y**4 - 3*y**3/2 + 15*y**2 + y. Factor o(l).
3*(l - 1)**3*(l + 3)
Let f(y) be the first derivative of -5*y**4/4 + 5*y**3/3 + 5*y**2 + 4. Factor f(n).
-5*n*(n - 2)*(n + 1)
Let j(i) = i**3 - 20*i**2 + 17*i + 38. Let g be j(19). Let k(t) be the third derivative of 1/24*t**4 + g + 0*t + 0*t**3 - 1/60*t**5 - 3*t**2. Factor k(b).
-b*(b - 1)
Suppose 6*k + 4*k - 40 = 0. Let b(i) be the second derivative of 0*i**3 - 1/30*i**k + 2*i + 0 + 0*i**2. Solve b(h) = 0 for h.
0
Solve -224/3*b**2 - 31/3*b**3 - 1/3*b**4 + 0 + 256/3*b = 0 for b.
-16, 0, 1
Let y(j) = -2*j**5 + 2*j**4 - j**3 + j**2 + j - 1. Let a(i) = -7*i**5 + 8*i**4 - i**3 - i**2 + 2*i - 1. Let w(b) = a(b) - 3*y(b). What is c in w(c) = 0?
-1, 1, 2
Let i(x) be the third derivative of 0*x**3 + 1/240*x**5 + 0 + 0*x + 0*x**4 + 4*x**2. Find w such that i(w) = 0.
0
Factor 3*g**2 + 4559 + g**3 - 4559 - 4*g.
g*(g - 1)*(g + 4)
Let v = 51 - 51. Let b(o) be the third derivative of 4*o**2 + 1/210*o**5 + 0*o**3 + 0*o + v + 1/84*o**4. Suppose b(i) = 0. Calculate i.
-1, 0
Let g(w) = -16*w**3 + 52*w**2 + 110*w + 66. Let a(x) = 2*x**3 + x - 1. Let k(y) = 6*a(y) + g(y). Factor k(l).
-4*(l - 15)*(l + 1)**2
Let w(o) be the third derivative of o**5/20 + o**4/2 - 58*o**2. Solve w(l) = 0.
-4, 0
Suppose 129*w = 131*w - 6. Let u(v) be the first derivative of 9/10*v**5 + 0*v**2 + v**w + 6 + 0*v - 15/8*v**4. Suppose u(h) = 0. Calculate h.
0, 2/3, 1
Let a be (-6)/(-14) - (-416)/91. Suppose 0*m - a*m + 15 = 0. Factor 0 - 1/2*p**2 - 1/4*p**m - 1/4*p.
-p*(p + 1)**2/4
Let f = -151094/5 - -30223. Let 12/5 - 36/5*u - f*u**2 = 0. Calculate u.
-2, 2/7
Factor -328 + 8*k**2 - 30*k + 128 - 3*k**2.
5*(k - 10)*(k + 4)
Suppose 5*q + 0 = 10. Suppose q*o = 6, -5*l - o = -0*o - 13. What is u in -6*u + u**l - 5 + 2*u + 9 = 0?
2
Let r(y) = 2*y**3 + 33*y**2 + 19*y + 50. Let z be r(-16). Suppose -2*o - 15 = -2*n - 5*o, 0 = -2*n + 4*o - 6. Factor u**z + 1/3 - 1/3*u**n - u.
-(u - 1)**3/3
Let u(n) = -n**3 + n. Let c(r) = 4*r**3 + 7*r**2 + 8*r + 5. Let i(h) = -c(h) - 3*u(h). Suppose i(k) = 0. What is k?
-5, -1
Let q = 37 - 22. Let c be ((-9)/q)/((-4)/20). Determine a, given that 8*a**2 + 32/3 + 80/3*a - 12*a**c = 0.
-2/3, 2
Let u(v) be the first derivative of -80/3*v**3 + 5/6*v**6 + 0*v**2 - 5*v**4 + 4*v**5 + 48 + 0*v. Determine k so that u(k) = 0.
-4, -2, 0, 2
Solve 57*n + 111/4*n**2 + 3 = 0.
-2, -2/37
Let x(t) = -26 - 7 - 3*t + 14 - 2. Let v be x(-7). Suppose 0*h - 4/15*h**3 + 0 + v*h**2 - 2/5*h**4 - 2/15*h**5 = 0. What is h?
-2, -1, 0
Factor 0 + 1/4*g**2 - 1/2*g + 1/4*g**3.
g*(g - 1)*(g + 2)/4
Let a(r) be the first derivative of -2*r**6/3 + 4*r**5/5 + 5*r**4 + 4*r**3 - 142. Let a(q) = 0. What is q?
-1, 0, 3
Let j(h) be the second derivative of -5*h**4/48 + 16*h**3/3 + 13*h**2/2 + 14*h - 3. Suppose j(b) = 0. Calculate b.
-2/5, 26
Let y = -33 - -36. Let f(d) = -d**3 + 2*d**2 + 4*d. Let w be f(y). Factor 2/3*t**w - 2/3*t + 0*t**2 + 0.
2*t*(t - 1)*(t + 1)/3
Suppose 3*x = 7*x - 12. Determine o, given that -10*o**2 - 2*o + 8*o**2 + 6*o**x - 2*o = 0.
-2/3, 0, 1
Let p be 12/21*(3 - 2 - -13). Let j be (p/(-2))/(-1) + (-12)/5. Solve -32/5*q**2 - j*q**3 + 24/5*q + 36/5*q**4 - 16/5*q**5 - 4/5 = 0 for q.
-1, 1/4, 1
Suppose 5*m - 5*j - 30 = 0, j + j + 11 = m. Suppose 2*u = -m + 5. Factor 16*w**u + 3*w - 4*w**3 + 4*w**5 - 2*w**5 - 17*w + 2 + 2 - 4*w**4.
2*(w - 1)**4*(w + 2)
Suppose 2*y = 5*o - 10, 5*o + 3*y - 8*y = -5. Suppose -7*h + 37 = 2. Let 26 + 3*k**o - 26 - 3*k**h = 0. Calculate k.
0, 1
Let f(b) = b**2 - 4. Let n be f(-4). Let p(j) = 5*j - 58. Let h be p(n). Factor 2/7*q**3 - 4/7*q + 0 - 2/7*q**h.
2*q*(q - 2)*(q + 1)/7
Let a be 12/(-18)*(-9)/6. Let f be (a - 15/12)*3/(-6). Factor -f*h**2 + 0 - 1/4*h.
-h*(h + 2)/8
Let k(w) be the second derivative of 1/70*w**5 + 0*w**2 + 1/42*w**4 - 4*w + 0 + 0*w**3. Determine f, given that k(f) = 0.
-1, 0
Let f(v) be the second derivative of 12*v - 1/8*v**5 - 5/6*v**4 + 0*v**2 - 5/3*v**3 + 0. Determine q so that f(q) = 0.
-2, 0
Suppose 34*u = 35*u - 3*r + 6, u = -2*r + 4. Let m(f) be the third derivative of 1/6*f**3 - 1/16*f**4 + 0