)/(52/(-130)). Suppose -2*c - 5*s - 11 = 0, 4*c = -3*s + w - 2. Factor -6/5*a**4 + 3/5*a + 0 + 6/5*a**c + 0*a**3 - 3/5*a**5.
-3*a*(a - 1)*(a + 1)**3/5
Suppose 0 = 9*b - 4*b. Let v be (-10)/(-10)*(b + 0). Determine y so that 1/4*y**2 + 1/4*y**3 + 0*y + v = 0.
-1, 0
Let 0*j**4 + 2*j**4 - 1 + 1 - 1448*j**3 + 1468*j**3 + 32*j**2 = 0. What is j?
-8, -2, 0
Let a(f) be the first derivative of f**3/3 - 7*f**2 + 13*f - 103. What is l in a(l) = 0?
1, 13
Let o(p) = -431973*p**3 - 151173*p**2 - 17649*p - 686. Let b(a) = -215988*a**3 - 75588*a**2 - 8824*a - 343. Let v(k) = -9*b(k) + 4*o(k). Factor v(x).
(60*x + 7)**3
Let q be (-875)/900 + (-2)/(2*-1). Let o(w) be the second derivative of 0 + 1/9*w**3 + q*w**4 + 5*w + 0*w**2 - 1/60*w**5. Factor o(k).
-k*(k - 2)*(k + 1)/3
Suppose 5/2*j + 1/2*j**2 - 12 = 0. What is j?
-8, 3
Let b(g) be the third derivative of -g**8/672 - g**7/420 + g**6/48 - g**5/40 - 43*g**2 - 2*g. Factor b(m).
-m**2*(m - 1)**2*(m + 3)/2
Let m = -2 - 2. Let d = 8 + m. Suppose -2 + 9*h - 2 + d*h**2 + 6 = 0. What is h?
-2, -1/4
Let q(u) = -2*u**3 + 0*u**3 + 2*u + 2 - 2*u**2 + u. Let t be q(-2). Factor 10*r**3 + 2*r**2 - 25*r**t - 4*r**2 + 25*r**3 - 8*r**2.
-5*r**2*(r - 1)*(5*r - 2)
Let m = 180356/25 - 7212. Let x = m + 14/25. What is y in 2/5*y**3 - 2*y**2 + x*y - 6/5 = 0?
1, 3
Let r(t) be the second derivative of -3/2*t**2 - 1/360*t**5 - 6*t - 1/12*t**3 - 1/36*t**4 + 0. Let o(n) be the first derivative of r(n). Factor o(c).
-(c + 1)*(c + 3)/6
Let c(y) = -36*y - 321. Let q be c(-9). Suppose 0 = 4*w + 3*s - 25, 6 = 3*w - 0*w - 2*s. Let w + 3*x**2 - 6*x - 1/2*x**q = 0. What is x?
2
Let c(z) = 4*z**2 - 26*z + 43. Let w(d) = -3*d**2 + 18*d - 29. Let u(m) = 5*c(m) + 7*w(m). Factor u(b).
-(b - 2)*(b + 6)
Let p(m) be the third derivative of 0 + 1/84*m**4 + 0*m + m**2 - 2/21*m**3 + 1/210*m**5. Factor p(t).
2*(t - 1)*(t + 2)/7
Let r(k) = -k + 2. Let m be r(-1). What is l in -m*l + 2 + 3*l**2 - l**2 - l = 0?
1
Let r(y) = -31*y - 434. Let u be r(-14). Let q(v) be the first derivative of -5 + u*v + 0*v**3 + 1/10*v**2 - 1/20*v**4. Determine p, given that q(p) = 0.
-1, 0, 1
Suppose -4*c + 6 = 4*r - 6, 0 = 4*r - c - 37. Factor 21*h + r + 27*h - 48*h - 2*h**2.
-2*(h - 2)*(h + 2)
Let t = 10 - 8. Let u be 57/5 - t/5. Find v such that 8*v + 17*v**2 - u*v**2 - 10*v**2 = 0.
0, 2
Find c, given that 0 + 2/3*c**4 + 4*c - 2/3*c**2 - 4*c**3 = 0.
-1, 0, 1, 6
Let n = -693 + 693. Factor 2/5*j**2 + n - 2/5*j**5 + 2/5*j**3 + 0*j - 2/5*j**4.
-2*j**2*(j - 1)*(j + 1)**2/5
Suppose 0*q - 2*q + 2 = 0. Let u = q + 3. Solve -3*k**4 + k**5 - 28*k**2 + k**5 + 4*k**2 + 26*k**3 + 8*k - 9*k**u = 0 for k.
0, 1, 2
Let j(f) be the third derivative of -f**8/110880 + f**7/5544 - f**6/990 - f**5/6 - f**2. Let x(l) be the third derivative of j(l). Factor x(s).
-2*(s - 4)*(s - 1)/11
Let g = 5119 + -5119. Determine d so that 0*d - 1/6*d**3 + d**2 - 1/6*d**4 + g = 0.
-3, 0, 2
Let q be (46/(-30) - -2)*(-98)/(-343). Factor q*z**2 + 0 + 4/15*z.
2*z*(z + 2)/15
Factor 0*b**2 + b**3 + 0 - 4/3*b - 1/3*b**4.
-b*(b - 2)**2*(b + 1)/3
Suppose 4*o = 30 - 22. Suppose 10*g = o*x + 7*g + 9, 5*x + 5*g - 15 = 0. Factor 2/3*c**2 + x*c + 0.
2*c**2/3
Let i(v) be the first derivative of -v**6/6 - 6*v**5/5 - 33*v**4/16 + 17*v**3/12 + 21*v**2/8 - 9*v/4 + 139. Solve i(m) = 0 for m.
-3, -1, 1/2
Determine u so that -16*u**3 - 273*u**4 - 15*u**2 + u**3 - 30 + 278*u**4 + 55*u = 0.
-2, 1, 3
Let j(h) be the first derivative of -2*h**3/3 - 44*h**2 - 968*h - 53. Find i, given that j(i) = 0.
-22
Let t = 2445 - 2442. Factor 4/9*f**2 - 14/9*f**4 + 10/9*f**t + 0*f + 0.
-2*f**2*(f - 1)*(7*f + 2)/9
Suppose -5*h = -10*h - 3*h. Let t(x) be the first derivative of 1/18*x**4 - 2/27*x**3 - 7 - 2/9*x**2 + h*x. Factor t(s).
2*s*(s - 2)*(s + 1)/9
Factor 15*x**3 - 10*x**2 + 15*x**2 - 12*x - 14*x - 23*x**2 - 7*x**3.
2*x*(x + 1)*(4*x - 13)
Let j = -403 - -403. Let y(f) be the first derivative of 0*f - 3/28*f**4 + 0*f**2 + j*f**3 + 1/35*f**5 + 1. Factor y(b).
b**3*(b - 3)/7
Let g(h) be the second derivative of -h**5/170 + 25*h**4/34 + 3*h**3 + 77*h**2/17 - 262*h. Let g(u) = 0. What is u?
-1, 77
Let i(n) be the first derivative of 4*n**5/5 - 8*n**3/3 + 4*n + 623. Factor i(b).
4*(b - 1)**2*(b + 1)**2
Let p(k) be the first derivative of 5*k**4 + 0*k**2 - 18 + 0*k + 8/3*k**3. What is t in p(t) = 0?
-2/5, 0
Let n(c) = 5*c**3 - 9*c + 7. Let a(j) = 24*j**3 - 44*j + 34. Suppose -4*v + 21 = -3*u - 3*v, -3 = 3*u + 5*v. Let p(s) = u*a(s) + 28*n(s). Solve p(g) = 0.
-2, 1
Let w(a) be the second derivative of -6*a - 1/2*a**3 + 0 - 1/4*a**4 + 0*a**2. Let w(p) = 0. What is p?
-1, 0
Suppose -g + 9 = -15. Suppose -2*y + l + 1 = -4, -3*y = 4*l - g. Factor k**2 + 1/3*k**y - 1/3*k - k**3 + 0.
k*(k - 1)**3/3
Let i = 44 + -76. Let q be (2*1/4)/((-12)/i). Factor -q*o + 0 - 2/3*o**2.
-2*o*(o + 2)/3
Determine i, given that 7/2*i**2 - 15/2*i - 9 + 3/2*i**3 - 1/2*i**4 = 0.
-2, -1, 3
Let v(d) be the third derivative of -d**6/48 + 11*d**5/48 + 35*d**4/96 - 5*d**3/4 + 92*d**2. Factor v(k).
-5*(k - 6)*(k + 1)*(2*k - 1)/4
Let l(g) be the third derivative of 5/3*g**3 + 0 + 1/720*g**6 + 2*g**2 + 1/30*g**5 + 1/3*g**4 + 0*g. Let f(w) be the first derivative of l(w). Factor f(x).
(x + 4)**2/2
Let g(y) be the second derivative of y**6/90 - y**5/10 + y**4/3 + 7*y**3/6 + 2*y. Let l(k) be the second derivative of g(k). Factor l(q).
4*(q - 2)*(q - 1)
Let y(d) = 2*d**4 + d**3 - d**2 - d. Let m(w) = 44*w**4 + 100*w**3 + 292*w**2 - 900*w + 484. Let v(s) = -m(s) + 20*y(s). Factor v(p).
-4*(p - 1)**2*(p + 11)**2
Let s(j) = -j**3 - 16*j**2 + 16*j - 13. Let d be s(-17). Let n be 35/36 - 3/d. Suppose -2/9*t + 0 - n*t**3 + 4/9*t**2 = 0. What is t?
0, 1
Let y(i) = i. Let t(b) = -2*b**2 + 17*b - 32. Suppose -2*n + 45 = -5*g, g - 45 = -4*n + 2*g. Suppose -n = 4*h - 2. Let v(k) = h*t(k) + 2*y(k). Factor v(f).
4*(f - 4)**2
Let y(q) = q**4 - q**3 - q. Let z(v) = -4*v**4 + 11*v**3 - 22*v**2 + 27*v - 9. Let h(u) = -12*y(u) - 4*z(u). Suppose h(d) = 0. What is d?
1, 3
Let h = -5/83 - -191/415. Factor -1/5*l**2 - h*l + 0.
-l*(l + 2)/5
Determine r, given that -3/4*r**2 + 27/4 - 3/4*r**3 + 27/4*r = 0.
-3, -1, 3
Let i(y) be the second derivative of -y**4/15 - 2*y**3/3 + 12*y**2/5 - 238*y. Factor i(s).
-4*(s - 1)*(s + 6)/5
Suppose 16*f = 14*f + 44. Let a = f - 20. Find q such that -a*q**3 + 2/7*q**2 - 10/7*q**4 - 2/7*q**5 + 8/7 + 16/7*q = 0.
-2, -1, 1
Let b(z) be the third derivative of 3*z**6/40 - z**5/20 - z**4/4 + 2*z**2 - 2*z. Suppose b(n) = 0. What is n?
-2/3, 0, 1
Let s(p) be the first derivative of -2*p**5 + 15*p**4/4 - 5*p**2/2 + 844. Find j such that s(j) = 0.
-1/2, 0, 1
Factor -4/3*l**2 - 41772 + 472*l.
-4*(l - 177)**2/3
Suppose 7*f**2 - 13*f**2 - 4*f + 7*f**2 - 1 + 4 = 0. Calculate f.
1, 3
Suppose -3*u = 4*s - 5, 4*s + 7 = -2*u + 9. Let g(z) be the first derivative of 0*z - 2/3*z**2 + 3 - 4/3*z**u + 7/12*z**4. Suppose g(c) = 0. Calculate c.
-2/7, 0, 2
Let o(y) be the second derivative of -y**7/4200 + y**6/1800 + y**5/300 - y**3 - 22*y. Let x(w) be the second derivative of o(w). Let x(m) = 0. Calculate m.
-1, 0, 2
Let u(b) = 15*b - 9. Let n be u(4). Factor -11*s - 31*s**3 - 4*s + 10*s**2 - 10 + n*s**3 - 5*s**5.
-5*(s - 2)*(s - 1)*(s + 1)**3
Let h be (3 - (-54)/(-24))*(-80)/(-135). Let 208/9*z**2 + 154/9*z**3 - 32/9 + 40/9*z + h*z**4 - 14/9*z**5 = 0. Calculate z.
-2, -1, 2/7, 4
Suppose 81*p**4 + 29*p - 29*p + 134*p**4 + 5*p**4 + 2*p**3 = 0. What is p?
-1/110, 0
Let b(f) = -3*f**3 - 1. Let t be b(-1). Let x be (-70)/(-25) + 1 + 2 + -5. Solve 0 + 1/5*v**3 - 4/5*v**t + x*v = 0 for v.
0, 2
Let w(v) = 4*v**3 - 4*v**2 + 2*v. Let c(m) = -7*m**2 + 5*m**3 + 3*m + 7*m**2 - m**2 - 3*m**2. Let g(q) = -5*c(q) + 6*w(q). Factor g(j).
-j*(j + 1)*(j + 3)
Let f(t) be the second derivative of -t**7/336 + t**6/40 - 9*t**5/160 + 68*t. Determine h so that f(h) = 0.
0, 3
Let h(s) be the second derivative of -s**5/110 - 3*s**4/11 - 35*s**3/11 - 196*s**2/11 + 6*s + 6. Factor h(f).
-2*(f + 4)*(f + 7)**2/11
Suppose 16 = -211*w + 219*w. Let b(g) be the second derivative of 4*g**w + 0 + 2*g - 2/3*g**3 - g**4. Factor b(k).
-4*(k + 1)*(3*k - 2)
Let w(d) be the third derivative of d**5/30 + 25*d**4/8 + 8*d**3 - 19*d**2. Let f(s) = 2*s**2 + s. Let a(y) = -5*f(y) - w(y). Let a(r) = 0. What is r?
-6, -2/3
Let z(g) be the first deri