t v(g) = 35*h(g) - 5*n(g). Suppose v(w) = 0. What is w?
2, 40
Let r(d) = -d**3 - 3*d**2 - 6*d - 2. Let i be r(-2). Factor 20*b**2 + 18 - i + 2*b**3 + 28*b + 2*b**3.
4*(b + 1)**2*(b + 3)
What is h in 6*h - 3/5*h**2 - 63/5 = 0?
3, 7
Let b(d) be the third derivative of -1/24*d**6 + 5/336*d**8 + 0*d**4 + 0*d + 0 + 0*d**3 + 31*d**2 + 1/42*d**7 - 1/12*d**5. Let b(q) = 0. Calculate q.
-1, 0, 1
Let m(u) be the second derivative of 0*u**3 + 7*u + 0*u**2 + 0 + 1/4*u**4 + 1/10*u**6 + 3/10*u**5. Factor m(i).
3*i**2*(i + 1)**2
Let u(g) = g**3 + 12*g**2 - 13*g + 13. Suppose 2*v - 11 = -37. Let n be u(v). Factor -2*t**2 + n*t**3 + 128*t**5 - 135*t**4 + 39*t**4 + 11*t**3.
2*t**2*(4*t - 1)**3
Let c be (-3)/(-2 + (-21)/(-7)) + 5. Let g(u) be the first derivative of -1/3*u**3 - 4*u + 2*u**2 + c. Solve g(j) = 0.
2
Factor -11 + 12*j**2 + 129*j**3 - 133*j**3 - 5.
-4*(j - 2)**2*(j + 1)
Let r be 3/(-42)*96/(-40). Let z = r + 262/105. Determine g, given that -62/3*g**2 - 52/3*g - z + 101/3*g**3 + 70/3*g**4 - 49/3*g**5 = 0.
-1, -2/7, 1, 2
Let d be 5/((-25)/(-30)) - 6. Determine n, given that d - 2/5*n + 2/5*n**3 + 0*n**2 = 0.
-1, 0, 1
Let k(n) = -70*n**3 + 139*n**2 - 65*n + 14. Let z(q) = -140*q**3 + 278*q**2 - 131*q + 23. Let y(g) = -5*k(g) + 3*z(g). Suppose y(s) = 0. What is s?
-1/70, 1
Let y(s) = 2*s**2 + 2*s - 9. Let j be y(-3). Suppose -5 + 5*z**5 + 5*z - 3*z**4 - 10*z**3 + z**j - z**3 + 10*z**2 - 2*z**4 = 0. What is z?
-1, 1
Factor -76 + 184 + n**2 - 266*n - 7*n**2 - 4*n**2.
-2*(n + 27)*(5*n - 2)
Let z = -63 - -61. Let d be z/((-2*(2 + 0))/3). Determine w so that 9/4 + 1/4*w**2 - d*w = 0.
3
Suppose 55*m**2 - 12*m**3 + 7*m**3 + 5*m**5 + 10*m**4 - 65*m**2 = 0. What is m?
-2, -1, 0, 1
Let j = -10 - -13. Let 3 - j*q**2 + 7*q**2 - 10*q + 4*q**2 - 2*q**3 + 1 = 0. What is q?
1, 2
Let i(m) be the third derivative of m**5/15 + m**4/6 - 4*m**3 + 157*m**2. Find u such that i(u) = 0.
-3, 2
Let g(j) be the second derivative of -j**7/168 - j**6/12 - j**5/2 - 5*j**4/3 + 5*j**3/3 + 10*j. Let m(n) be the second derivative of g(n). Factor m(o).
-5*(o + 2)**3
Suppose -39*s = 39 - 52 - 65. Solve -2/11*w + 8/11*w**s + 0 = 0 for w.
0, 1/4
Let h(b) be the first derivative of 12/5*b + 9/5*b**3 - 3/20*b**4 - 33/10*b**2 - 3/25*b**5 - 33. Suppose h(t) = 0. What is t?
-4, 1
Suppose 19*r - 118 = 53. Suppose 0 = -7*j + 5*j - r*j. Factor -14/13*c**4 + 0*c + 0 + j*c**2 - 4/13*c**3.
-2*c**3*(7*c + 2)/13
Let v(y) be the first derivative of y**7/945 + y**6/540 - y**5/270 - y**4/108 - y**2 + 7. Let s(i) be the second derivative of v(i). What is q in s(q) = 0?
-1, 0, 1
Let t(z) = z**4 + 2*z**3 + 3*z. Let l(v) = 15*v**3 + 2*v**2 + 4*v + 2. Let i be l(-1). Let a(b) = -b**3 - b. Let x(q) = i*a(q) - 5*t(q). Factor x(h).
-5*h**3*(h - 1)
Factor 19/2*f - 19/2*f**3 - 17/2*f**2 - 1/2*f**4 + 9.
-(f - 1)*(f + 1)**2*(f + 18)/2
Let c(v) = -12*v**2 + 76*v + 24. Let p(t) = t**2 - t. Suppose -2*g + 48 = -4*g. Let h(z) = g*p(z) + c(z). Factor h(m).
-4*(m - 3)*(9*m + 2)
Let d = -32 - -34. Suppose -6*x**2 - 5 - 9*x**2 + d + 23 - 5*x**3 = 0. What is x?
-2, 1
Let z(q) be the third derivative of 1/735*q**7 - 1/84*q**4 - 1/140*q**6 + 0*q + 0 + 12*q**2 + 1/70*q**5 + 0*q**3. Find b, given that z(b) = 0.
0, 1
Let g(x) be the second derivative of x**5/20 - x**4/3 - 5*x**3/2 + 9*x**2 - 2*x + 32. Determine v, given that g(v) = 0.
-3, 1, 6
Suppose 3*j + 2*j - 20 = 0. Suppose j*f = -2*t + t + 17, 5*f = 15. Factor 4*x**5 - 2*x**4 - 5*x**t + 2*x**5 - 2*x**2 + 4*x**4 - x.
x*(x - 1)*(x + 1)**3
Suppose 11 = k - t, -k - t + 10 = -5. Suppose -4*z = -k*z + 27. Solve -4/7 + 18/7*b**2 - 2*b**4 + 10/7*b - 10/7*b**z = 0 for b.
-1, 2/7, 1
Let a(c) = -1. Let r(p) be the first derivative of -2*p**3/3 - 4*p**2 - 11*p - 1. Let q(v) = -v + 1. Let h be q(0). Let b(t) = h*r(t) - 5*a(t). Factor b(s).
-2*(s + 1)*(s + 3)
Let 5/3*t**3 + 0 + 0*t**2 - 5/3*t = 0. What is t?
-1, 0, 1
Suppose -8 = 17*x - 19*x. Solve 18752*b + x*b**4 + b**4 - 15*b**3 + 15*b**2 - 18757*b = 0.
0, 1
Factor -4*p + 24/7*p**3 - 12/7 + 20/7*p**4 + 4/7*p**5 - 8/7*p**2.
4*(p - 1)*(p + 1)**3*(p + 3)/7
Let u(x) = -2*x**2 - 10*x - 2. Let o = 6 + -3. Let h(l) = -6 - o*l**2 - 9*l - 10*l - l + 3. Let n(w) = 2*h(w) - 5*u(w). Suppose n(k) = 0. Calculate k.
-2, -1/2
Suppose -2 = -5*u + 3. Suppose -y - u + 4 = 0. Factor -1 + 0*r + 2 + y - 2*r**2 + 2*r.
-2*(r - 2)*(r + 1)
Let h = -25 + 29. Factor 38*z**3 - 34*z**3 + 5*z**4 - 3*z**h.
2*z**3*(z + 2)
Let y(a) be the third derivative of -a**8/1260 - a**7/1260 + a**6/135 + a**5/60 - 7*a**3/3 + a**2. Let h(n) be the first derivative of y(n). Factor h(k).
-2*k*(k + 1)**2*(2*k - 3)/3
Let i(v) = -5*v - 9. Let m(s) = -s. Let b(f) = i(f) - 4*m(f). Let w be b(-12). Find c such that 0*c**3 + 2*c**w - 2*c**4 - c**3 + c**5 = 0.
0, 1
Let v(j) be the second derivative of -7*j**5/10 - 193*j**4/54 - 6*j**3 - 32*j**2/9 + 150*j. Let v(r) = 0. Calculate r.
-16/9, -1, -2/7
Let f(t) be the second derivative of t**6/30 - t**5/4 + 5*t**4/12 + 5*t**3/6 - 3*t**2 - 31*t + 10. What is o in f(o) = 0?
-1, 1, 2, 3
Let q(h) be the third derivative of -h**6/660 - 2*h**5/33 - h**4 - 96*h**3/11 - 138*h**2. Suppose q(c) = 0. Calculate c.
-8, -6
Let r(i) be the third derivative of i**5/40 + 5*i**4/16 + i**3 + 3*i**2 - 2. Factor r(x).
3*(x + 1)*(x + 4)/2
Suppose r + 0*r + 4*z = 1234, 0 = 4*r - z - 4970. Solve -1701*u + r*u**2 - 278*u**3 - 20*u**3 - 4*u**5 + 3*u**5 + 29*u**4 + 729 = 0.
1, 9
Let y(h) = 3*h**5 + 15*h**4 + 113*h**3 + 349*h**2 + 518*h + 300. Let i(w) = -w**5 + w**4 - w**3 - w**2 + w. Let k(t) = 4*i(t) + 2*y(t). Solve k(j) = 0 for j.
-5, -3, -2
Let t = -47397/5 - -9480. Factor 0*p + 0 + 3/5*p**3 - t*p**2.
3*p**2*(p - 1)/5
Let g(j) be the third derivative of -j**8/1848 + 2*j**7/231 - 31*j**6/660 + j**5/15 + 8*j**4/33 - 32*j**3/33 - j**2 + 23. Determine h, given that g(h) = 0.
-1, 1, 2, 4
Let p = -21 + 34. Suppose 60 = -8*k + p*k. Let y(v) = -v**3 + v**2 - v. Let m(b) = 5*b**3 - 3*b**2 + 2*b. Let u(z) = k*y(z) + 3*m(z). Solve u(c) = 0.
-2, 0, 1
Let k(u) = u**3 - 2*u**2 - 9*u - 28. Let x be k(5). Factor 0 - n**x + 1/2*n**3 + 1/2*n.
n*(n - 1)**2/2
Factor -1483*a**3 - 44*a + 1486*a**3 + 24*a**2 - 16*a.
3*a*(a - 2)*(a + 10)
Let o(v) = v**3 + 6*v**2 + 7*v + 12. Let d be o(-5). Solve 0 - 8/5*g - 8/5*g**3 + 4*g**d = 0.
0, 1/2, 2
Let w = 4107/5 - 821. Factor 0 - w*p**2 - 2/5*p.
-2*p*(p + 1)/5
Solve 2*g**2 + 50*g - 60*g - g**3 - 5*g**4 + 3*g**2 + 11*g**3 = 0 for g.
-1, 0, 1, 2
Let h(c) = 3*c**4 + 13*c**3 + 84*c**2 + 89*c - 34. Let j(p) = p**4 + 4*p**3 + 28*p**2 + 30*p - 12. Let x(a) = -6*h(a) + 17*j(a). Factor x(w).
-w*(w + 2)**2*(w + 6)
Let z be (-6)/10 + -25 + 1480/50. Factor 32/3*f**3 + 64/3*f + 20/3 + 24*f**2 + 4/3*f**z.
4*(f + 1)**3*(f + 5)/3
Let f(i) be the third derivative of i**5/600 - i**4/16 - 4*i**3/15 + i**2 - 69*i. Let f(c) = 0. What is c?
-1, 16
Let r(f) be the second derivative of -f**7/420 - f**6/45 + 7*f**3/2 - 14*f. Let w(p) be the second derivative of r(p). What is a in w(a) = 0?
-4, 0
Let j = 255 + -252. Let n(w) be the third derivative of 1/6*w**j + 1/120*w**6 + 1/8*w**4 + 1/20*w**5 + 0 + 0*w + 3*w**2. Factor n(b).
(b + 1)**3
Factor -22/5*l**3 - 17/5*l + 8/5*l**4 - 1/5*l**5 + 28/5*l**2 + 4/5.
-(l - 4)*(l - 1)**4/5
Let f(v) = -3*v. Let u(m) = -m. Let d(k) = f(k) - 4*u(k). Let t(o) = 9*o**2 + o. Let p(x) = -4*d(x) + t(x). Factor p(y).
3*y*(3*y - 1)
Let u(w) be the third derivative of 0*w**4 + 9*w**2 + 0 + 1/24*w**8 + 0*w + 0*w**3 - 4/35*w**7 + 0*w**5 - 1/15*w**6. Factor u(b).
2*b**3*(b - 2)*(7*b + 2)
Factor -13 + 18*w**2 + 3*w**4 - 10 - 4 + 0 - 2*w**4 - 8*w**3.
(w - 3)**3*(w + 1)
Suppose 36*x - 32*x = 48. Determine v so that x*v**4 - 16*v**3 - v**2 + 3*v**2 + 8*v - 22*v**2 = 0.
-1, 0, 1/3, 2
Let k(r) be the second derivative of -r**6/480 - r**5/160 + r**4/16 + r**3/6 + r. Let v(l) be the second derivative of k(l). Factor v(i).
-3*(i - 1)*(i + 2)/4
Factor -23/3*m - 1/3*m**3 + 5*m**2 - 1/3*m**4 + 10/3.
-(m - 2)*(m - 1)**2*(m + 5)/3
Let s(o) be the first derivative of -7*o**6/1800 + 2*o**5/75 - o**4/30 + 10*o**3/3 + 12. Let u(g) be the third derivative of s(g). Suppose u(c) = 0. What is c?
2/7, 2
Let n = 2923 - 2921. Factor 2/5*c**3 + 16/5*c + 8/5 + n*c**2.
2*(c + 1)*(c + 2)**2/5
Suppose -l + 2*y - 3 = 4*y, -2*y - 4 = 2*l. Let h be 14 + (l + 4 - 3). Factor -74*w**