*2 - 36*t. Let v(p) = -3*f(p) + 5*g(p). Find z, given that v(z) = 0.
-2, 0, 3
Let k(a) be the third derivative of -11*a**2 + 1/12*a**4 - 2/9*a**3 + 0*a + 0*a**5 - 1/180*a**6 + 0. Factor k(d).
-2*(d - 1)**2*(d + 2)/3
Factor -825*g**2 + 4*g**3 + 0*g**3 - 430 - 66 + g**3 - 319 + 1635*g.
5*(g - 163)*(g - 1)**2
Let n = -1/1060 - -213/1060. What is x in 0*x**2 - 1/5 - 2/5*x + n*x**4 + 2/5*x**3 = 0?
-1, 1
Let t(g) be the second derivative of 5/3*g**4 + 4*g**2 + 1/168*g**7 + 4*g + 1/12*g**6 + 1/2*g**5 + 0 + 10/3*g**3. Factor t(i).
(i + 2)**5/4
Let y(d) be the first derivative of -7*d**6/60 - 23*d**5/30 - d**4/2 + 8*d**2 - 14. Let c(h) be the second derivative of y(h). Solve c(v) = 0.
-3, -2/7, 0
Factor -5*t**2 - 6331*t - 9 - 4 + 2*t**3 - 3 - t**3 + 6309*t.
(t - 8)*(t + 1)*(t + 2)
Let b(t) be the second derivative of -t**4/18 + 10*t**3/9 - 3*t**2 - 72*t - 2. Factor b(z).
-2*(z - 9)*(z - 1)/3
Let m(w) be the first derivative of -w**3/7 + 24*w**2 - 1344*w + 255. Determine g so that m(g) = 0.
56
Let u(t) = -3*t**3 - 3*t**2 + 12*t - 6. Let z(q) = 14 + 11 - 24. Let f(d) = u(d) + 18*z(d). Factor f(r).
-3*(r - 2)*(r + 1)*(r + 2)
Let n = -6748 - -47237/7. Let n*v**2 + 10/7*v + 9/7 = 0. Calculate v.
-9, -1
Let p be (7 - 2) + 44*13/(-156). Factor 0*n**3 - 2/3*n**5 + 0 - p*n**4 + 4/3*n**2 + 2/3*n.
-2*n*(n - 1)*(n + 1)**3/3
Let o(g) be the first derivative of -g**4/7 + 8*g**3/21 + 6*g**2/7 + 38. Find c, given that o(c) = 0.
-1, 0, 3
Let t = 71 - 69. Solve -9*d**t + 12*d + 3*d**4 + 12 - 24*d + d**3 + 5*d**3 = 0.
-2, 1
Let p = 10 - 7. Factor -3*h**5 - 2*h**3 + 3*h**4 + 1500*h**2 - 1503*h**2 + 5*h**p.
-3*h**2*(h - 1)**2*(h + 1)
Let x(w) = -8*w**2 - 12*w - 37. Let y(s) = 3*s**2 + 6*s + 18. Let j(n) = -6*x(n) - 15*y(n). Determine p, given that j(p) = 0.
-2, 8
Suppose 6 = 3*o - o - 2*f, o - 5*f = 7. Determine l so that 5 + 4*l - l**2 + 0*l**o - 9 = 0.
2
Let k(h) be the second derivative of -8*h**7/21 - 14*h**6/15 - 2*h**5/5 + h**4/3 - 170*h. Factor k(b).
-4*b**2*(b + 1)**2*(4*b - 1)
Let a = 47 - 42. Suppose a*g = -8*g + 26. Factor 0 + 0*v - v**3 - 2/3*v**g - 1/3*v**4.
-v**2*(v + 1)*(v + 2)/3
Suppose -j - 4 = 3*l - 12, 0 = 2*j + 4*l - 18. Let u = -84 + 131. Let -j*b + u*b + 8*b**3 + 33*b**2 + 4*b**3 + 12 - 3*b**3 = 0. What is b?
-2, -1, -2/3
Let a(h) be the second derivative of 3*h**5/160 - 3*h**4/32 + h**3/8 + 32*h + 2. Determine r, given that a(r) = 0.
0, 1, 2
Let t(x) = x**3 + 12*x**2 + 13*x + 25. Let d be t(-11). Factor 2 + 12*v**2 + 4*v**d - 162*v**4 + 83*v**4 - 10*v + 65*v**4 + 6*v**5.
2*(v - 1)**3*(v + 1)*(3*v - 1)
Suppose 4*w + 19 = 275. Let z = -158 - -230. Factor 0*a - 12*a**2 - w - a**3 - z*a + 24*a.
-(a + 4)**3
Let v(b) = 5*b**3 + 8*b**2 + 5*b + 6. Let s(c) = c**3 + c**2 + c + 1. Suppose 0 = 4*j + 3 + 1. Let w(t) = j*v(t) + 6*s(t). Determine q so that w(q) = 0.
0, 1
Suppose 0 = -3*f + 3*l - 0*l - 3, 35 = 5*f + 5*l. Factor -69*o + 60*o + 1 + f*o**3 + 5.
3*(o - 1)**2*(o + 2)
Suppose -16/7*w**3 + 44/7*w**2 - 4/7*w**4 + 0 - 24/7*w = 0. What is w?
-6, 0, 1
Let k(u) be the first derivative of -7*u**6/720 - 13*u**5/180 - 5*u**4/36 + 2*u**3/9 - 3*u**2 + 1. Let c(f) be the second derivative of k(f). Factor c(n).
-(n + 2)**2*(7*n - 2)/6
Let k = 15/23 + -59/161. Let a(y) = -y**3 - 15*y**2 + 3. Let b be a(-15). What is g in 2/7*g**b - 2/7*g - 2/7 + k*g**2 = 0?
-1, 1
Solve 159*w**4 + 21*w**3 - 155*w**4 + 7 + 19*w - 4 + 33*w**2 = 0.
-3, -1, -1/4
Let r be (-8028)/180 + 4/(-10). Let o be 5/(r/2)*(-3 - 0). Find d such that o + 1/3*d - 1/3*d**2 = 0.
-1, 2
Let a = -808/273 - -121/39. Factor -6/7*q + 1/7*q**3 - a*q**2 + 0.
q*(q - 3)*(q + 2)/7
Let w(a) be the first derivative of -4*a**3/3 - 20*a**2 + 44*a + 105. Suppose w(t) = 0. What is t?
-11, 1
Let z(q) = -8*q**5 - 12*q**4 + 4*q**3 + 10*q**2 - 24*q - 10. Let m(a) = a**5 + a**4 - a**3 + 2*a + 1. Let b(f) = -10*m(f) - z(f). Suppose b(x) = 0. Calculate x.
-2, 0, 1
Let d(w) = -8*w - 15. Let y be d(-6). Find r such that 68*r**2 - y*r**2 + 4 - 2 - 37*r**2 = 0.
-1, 1
Let m(k) be the first derivative of 57 + 230/3*k**3 + 5/2*k**4 - 7*k**5 - 325/2*k**2 - 5/6*k**6 + 125*k. Factor m(c).
-5*(c - 1)**3*(c + 5)**2
Let y(d) = 4*d**2 - 51*d + 49. Let g be y(1). Let q(u) = u**3 + 6*u**2 + 5*u + 1. Let b be q(-5). Solve 1/2*t**4 + b - 4*t + 21/4*t**g - 11/4*t**3 = 0 for t.
1/2, 1, 2
Suppose 5*m - 212 = -197. Let h(n) be the first derivative of 2/3*n**m + 2*n - 2*n**2 + 2. Factor h(g).
2*(g - 1)**2
Let v(u) be the first derivative of -u**7/5880 + u**6/420 - 3*u**5/280 + 4*u**3/3 + 19. Let h(j) be the third derivative of v(j). Solve h(s) = 0 for s.
0, 3
Let n(r) be the third derivative of -1/6*r**4 + 0*r + 0*r**3 + 13*r**2 + 1/10*r**5 - 1/105*r**7 + 0*r**6 + 0. Factor n(h).
-2*h*(h - 1)**2*(h + 2)
Let o = 26 - -9. Let u = o + -32. Suppose 0 - 2/7*h**u + 0*h + 4/7*h**4 - 2/7*h**2 = 0. What is h?
-1/2, 0, 1
Let w(d) be the third derivative of -d**7/42 + d**6/12 + d**5/12 - 5*d**4/12 + 190*d**2 - 2. Suppose w(z) = 0. Calculate z.
-1, 0, 1, 2
Let c(x) be the third derivative of x**7/70 - 9*x**6/20 - 21*x**5/20 + 19*x**4/4 + 76*x**2. Suppose c(w) = 0. What is w?
-2, 0, 1, 19
Let m be (-5)/3 - -1 - 84/(-126). Let s(x) be the third derivative of 12*x**2 + 1/210*x**5 - 1/28*x**4 + 0 + m*x**3 + 0*x. Factor s(g).
2*g*(g - 3)/7
Suppose 5*i + 122 = 2*o + 35, -46 = 2*i + 2*o. Let g be ((i/(-57))/(1/(-3)))/(-3). Factor -r + 1/3 + r**2 - g*r**3.
-(r - 1)**3/3
Let m(r) be the first derivative of 2*r**5/45 - 14*r**3/9 - 20*r**2/9 - 579. Factor m(p).
2*p*(p - 5)*(p + 1)*(p + 4)/9
Let x(s) be the second derivative of -s**7/8820 + s**6/1260 - 31*s**4/12 + 6*s. Let p(n) be the third derivative of x(n). Factor p(m).
-2*m*(m - 2)/7
Let d = -676 - -2030/3. What is q in 2 - 2/9*q**3 - 10/9*q**2 - d*q = 0?
-3, 1
Let r(y) = y**3 + y + 1. Let x(i) = 4*i**3 - 5*i**2 + 3*i - 3. Let n(j) = -5*r(j) + x(j). Let q be n(-5). Factor 9*a**2 - a**2 + a**4 - 7*a**q + 2*a**3.
a**2*(a + 1)**2
Let c be 34/(-68)*4/(-3). Factor 1/2*k**4 - 4/3*k + c*k**2 + 5/3*k**3 + 0.
k*(k + 2)**2*(3*k - 2)/6
Let z = 46041 - 138121/3. Let v(g) = -g**3 - 3*g**2 + 3*g. Let a be v(-4). Factor z*t - 2/3*t**3 + 2/3*t**2 + 0 - 2/3*t**a.
-2*t*(t - 1)*(t + 1)**2/3
Factor -454/11*v - 18/11*v**2 - 100/11.
-2*(v + 25)*(9*v + 2)/11
Let d(t) = -12*t**2 - 225*t - 4332. Let x(z) = -15*z**2 - 224*z - 4332. Let h(q) = 4*d(q) - 3*x(q). Let h(f) = 0. What is f?
-38
Let m be 3/(-8) + 230/16. Let u be 1266/273 - (-4)/m. Factor u*j + 48/13*j**2 + 2/13*j**4 + 16/13*j**3 + 32/13.
2*(j + 2)**4/13
Let p = -6995/4 + 1859. Let z = p - 109. Suppose -3/2*j**2 - 1/4*j**4 + j - z*j**3 + 2 = 0. Calculate j.
-2, 1
Let f(i) = -8*i**2 - 15*i + 3. Let b(w) = -w**2 + 5*w + 1. Let s(d) = -3*b(d) + f(d). What is r in s(r) = 0?
-6, 0
Let s(z) be the third derivative of -z**6/240 - z**5/40 - 7*z**3/3 + 5*z**2. Let l(r) be the first derivative of s(r). Determine g so that l(g) = 0.
-2, 0
Suppose 91*q**2 - 51*q**2 + q**4 - 44*q**2 = 0. What is q?
-2, 0, 2
Let b(r) = -r - 30. Let t be b(-32). Let c(f) be the second derivative of -1/4*f**t + 1/48*f**4 - f + 0 - 1/24*f**3. What is n in c(n) = 0?
-1, 2
Find j, given that -33/2*j**4 + 48*j + 3/2*j**5 + 0 - 96*j**2 + 63*j**3 = 0.
0, 1, 2, 4
Let s(j) be the first derivative of -j**8/336 + 2*j**7/105 - j**6/20 + j**5/15 - j**4/24 - 5*j**2 - 6. Let w(f) be the second derivative of s(f). Factor w(g).
-g*(g - 1)**4
Let m(u) = 85*u**2 + 1200*u - 1360. Let f(l) = -7*l**2 - 100*l + 113. Let t(g) = -25*f(g) - 2*m(g). Determine w so that t(w) = 0.
-21, 1
Let d be (-60)/110*(-44)/8. Suppose 6/5 + 46/5*z**2 + 32/5*z + 12/5*z**d = 0. Calculate z.
-3, -1/2, -1/3
Let l = 389/3339 + -2/371. Let x(k) be the third derivative of 2*k**2 - 1/18*k**4 + l*k**3 + 0*k + 0 + 1/90*k**5. Let x(w) = 0. Calculate w.
1
Let z be (96/20)/(-4)*1/((-6)/15). Factor 0*u**2 + 0 + 0*u - 1/3*u**4 - 2/3*u**z.
-u**3*(u + 2)/3
Find n, given that -40*n**5 - n + 44*n**5 + 53*n - 16*n**2 + 48*n**4 - 24 - 40*n**4 - 24*n**3 = 0.
-3, -2, 1
Let r be 15 - ((-32 - 2) + 16). Determine k so that 99/2*k**3 - 30*k**2 + 6*k - r*k**4 + 15/2*k**5 + 0 = 0.
0, 2/5, 1, 2
Suppose -g = 4*q, 3*g = 9*q - 7*q. Suppose -5*k + 69*d = 68*d + 5, -20 = k - 4*d. Factor 32/3*u**2 + k*u + q + 2/3*u**4 + 16/3*u**3.
2*u**2*(u + 4)**2/3
Let k(i) = -2*i - i + 7*i + i**2 - i**3