260 - -1/36. Let y(h) be the third derivative of 1/10*h**6 + 0*h**3 + h**2 + 1/12*h**4 + 1/168*h**8 + 0 - j*h**7 + 0*h - 2/15*h**5. Factor y(r).
2*r*(r - 1)**4
Suppose 4*g + 8 = 5*k, 5*k = 25 - 5. Let p(d) be the third derivative of 0 + 1/6*d**g + 0*d - 1/12*d**4 + 2*d**2 + 1/60*d**5. What is a in p(a) = 0?
1
Let c(v) be the second derivative of -v**4/6 - v**3/3 - 27*v. What is p in c(p) = 0?
-1, 0
Let j(r) be the second derivative of 3*r**5/80 + r**4/8 + r**3/8 - 9*r. Factor j(s).
3*s*(s + 1)**2/4
Let f(q) be the third derivative of q**10/302400 + q**9/120960 - q**5/60 + 4*q**2. Let o(i) be the third derivative of f(i). Let o(w) = 0. What is w?
-1, 0
Solve 5/2 + 2*u - 1/2*u**2 = 0 for u.
-1, 5
Let o(w) be the first derivative of w**3/3 - w**2/2 - 1. Find z such that o(z) = 0.
0, 1
Let x(b) be the first derivative of 2 + 0*b**3 - 1/4*b**4 + 2/5*b**5 + 0*b + 0*b**2 - 1/6*b**6. Factor x(w).
-w**3*(w - 1)**2
Let j be 1 - 0 - (0 - 2). Let f = 30 + 34. Factor -32*w**j + 2 - 13*w - 5*w + f*w**2 - 16*w**2.
-2*(w - 1)*(4*w - 1)**2
Factor 4/5*k - 4/5*k**3 - 2/5*k**2 + 2/5.
-2*(k - 1)*(k + 1)*(2*k + 1)/5
Solve 0 + 2/9*o + 2/9*o**4 - 2/9*o**3 - 2/9*o**2 = 0.
-1, 0, 1
Let y be (-4)/8*10 + 5. Let y + 1/4*c**2 - 1/4*c**3 + 0*c = 0. What is c?
0, 1
Let u(i) be the third derivative of i**5/20 - i**4 + 8*i**3 + 6*i**2. Solve u(s) = 0.
4
Let j(d) be the third derivative of -d**6/6 - 2*d**5/3 - 25*d**4/24 - 5*d**3/6 + 9*d**2 - 2*d. Factor j(c).
-5*(c + 1)*(2*c + 1)**2
Let j(s) be the first derivative of -s**6/33 + 8*s**5/55 - s**4/11 - 8*s**3/33 + 3*s**2/11 - 68. Suppose j(z) = 0. Calculate z.
-1, 0, 1, 3
Let o(s) be the second derivative of s**8/7392 + s**7/6930 - s**4/4 - 3*s. Let p(l) be the third derivative of o(l). Suppose p(r) = 0. Calculate r.
-2/5, 0
Let w = 56 - 28. Let y = w + -20. Factor y*z**2 + 3*z**3 + 2/3 + 13/3*z.
(z + 2)*(3*z + 1)**2/3
Let g(w) be the first derivative of -w**5/240 + w**3/24 - 7*w**2/2 - 1. Let i(c) be the second derivative of g(c). Solve i(f) = 0 for f.
-1, 1
Factor -2*f + 8*f + 3*f**4 - 6*f - 6*f**3 + 3*f**2.
3*f**2*(f - 1)**2
Let q be 41*(-8)/(-4) + 2. Factor 3*z**4 - 84 - 3*z + 3*z**3 + q - 3*z**2.
3*z*(z - 1)*(z + 1)**2
Let q be -1*6/(-5 - -2). Suppose -q*j + 1 + 3 = 0. What is l in 5 - 5 + l**j = 0?
0
Let a(d) be the second derivative of -d**6/200 - d**5/50 - d**4/40 - d**3/3 + 3*d. Let b(u) be the second derivative of a(u). Determine r, given that b(r) = 0.
-1, -1/3
Suppose -5*k = -k + 16. Suppose 5*i = 5*b - 20, b = 2*i - 0*i + 6. Let o(x) = -5*x**2 - 2*x + 1. Let q(l) = l**2. Let h(t) = i*o(t) + k*q(t). Factor h(z).
2*(z + 1)*(3*z - 1)
Let z(r) be the second derivative of 5*r**7/126 - r**5/12 - 5*r - 3. Factor z(p).
5*p**3*(p - 1)*(p + 1)/3
Factor -2*u**2 - 31*u**3 + u + 2*u**4 - 7*u + 37*u**3.
2*u*(u - 1)*(u + 1)*(u + 3)
Let b = -43499/60 - -725. Let m(d) be the second derivative of -d + 0*d**4 - b*d**6 - 1/6*d**3 + 1/20*d**5 + 1/4*d**2 + 0. Factor m(k).
-(k - 1)**3*(k + 1)/2
Let i = 45 - 40. Let z(c) be the third derivative of -1/120*c**6 + 0 - 1/8*c**4 + c**2 - 1/20*c**i - 1/6*c**3 + 0*c. Factor z(x).
-(x + 1)**3
Let i(h) be the first derivative of -1/5*h**5 - 5 + 0*h - h**2 + 7/8*h**4 - 2/3*h**3. Determine w so that i(w) = 0.
-1/2, 0, 2
Find f, given that -3*f**2 + 6*f - 24 - 3 - 24*f = 0.
-3
Let k be (6 + 116/(-18))*27/(-6). Factor 0*t**k + 4/3*t**3 + 0 + 0*t**4 - 2/3*t - 2/3*t**5.
-2*t*(t - 1)**2*(t + 1)**2/3
Let t(a) = -a**2 - 16*a + 1. Let z be t(-16). Suppose z = 2*o - 9. Let 0 + 0*c**2 + 2/3*c**4 - 2/3*c**o + 0*c**3 + 0*c = 0. What is c?
0, 1
Let t(p) be the second derivative of -p**7/17640 + p**6/2520 - p**5/840 - p**4/12 + 2*p. Let q(w) be the third derivative of t(w). Factor q(a).
-(a - 1)**2/7
Let o(j) be the second derivative of -j**4/36 + 4*j**3/9 - 8*j**2/3 + 2*j. Factor o(x).
-(x - 4)**2/3
Suppose 1/6*r**2 - 2/3*r + 2/3 = 0. What is r?
2
Let n(o) be the first derivative of -2/11*o**3 + 0*o - 2/11*o**2 - 2 - 1/22*o**4. Factor n(w).
-2*w*(w + 1)*(w + 2)/11
Determine a, given that 1 + 1/3*a - 1/3*a**3 - a**2 = 0.
-3, -1, 1
Let q(u) be the first derivative of 0*u + 5 - 2/3*u**3 + u**2. Factor q(x).
-2*x*(x - 1)
Factor -3/5*o - 6/5*o**2 + 0 - 3/5*o**3.
-3*o*(o + 1)**2/5
Suppose 2*w = 4 + 2. Factor -2*j + w*j**4 + 2*j**3 + 0*j**4 + 2*j**2 - 5*j**4.
-2*j*(j - 1)**2*(j + 1)
Let x be ((-12)/(-9))/(((-6)/(-9))/1). Let i(a) be the first derivative of 2/15*a**5 + 2/9*a**3 + 0*a**x + 0*a + 1/3*a**4 + 3. Factor i(c).
2*c**2*(c + 1)**2/3
Let p(g) be the first derivative of -g**5/80 - 7*g**4/48 - 5*g**3/8 - 9*g**2/8 + 2*g - 2. Let d(x) be the first derivative of p(x). Factor d(i).
-(i + 1)*(i + 3)**2/4
Let o(h) = 5*h**2 - 15*h - 11. Let s(z) = z**2 - 3*z - 2. Let b(n) = 6*o(n) - 33*s(n). Factor b(x).
-3*x*(x - 3)
Solve -7*z**3 + 9*z**3 + 28*z**2 - 4*z**2 - 2*z**2 = 0 for z.
-11, 0
Let z(y) be the first derivative of y**3/3 + 6*y**2 + 36*y + 6. Solve z(u) = 0 for u.
-6
Let o = 25 + -18. Suppose -4*a + o = -1. Factor 0*q**a + 2/7*q**3 + 0*q + 0.
2*q**3/7
Suppose 5*g + 3*b = 16, 1 + 5 = -2*b. Suppose x + 4 + 0 - g + x**2 - x**3 = 0. Calculate x.
-1, 1
Factor 2*n**2 - 2*n**3 + 3 + n - 2*n**4 + n**5 + n**4 + 2 - 6.
(n - 1)**3*(n + 1)**2
Let l(m) be the first derivative of 1 - 4/15*m**3 + 2/25*m**5 + 0*m**2 + 2/5*m + 0*m**4. Factor l(o).
2*(o - 1)**2*(o + 1)**2/5
Let w be (-3 - 3/(-2))*-2. Suppose -3*o - 3*r + 12 = 0, -2*o = w*r - 14 + 4. Factor 0*i - 1/3*i**o + 0 + 1/3*i**3.
i**2*(i - 1)/3
Let h(a) be the first derivative of 25*a**4 - 80*a**3/3 + 8*a**2 - 10. Find w, given that h(w) = 0.
0, 2/5
Let z(m) be the second derivative of m**5/70 + m**4/21 - m**3/21 - 2*m**2/7 - 7*m. Factor z(n).
2*(n - 1)*(n + 1)*(n + 2)/7
Let d = -94 + 140. Let o(u) = 46 - d - u**2 - u. Let t(v) = -v**2 - 2*v - 1. Let j(x) = -4*o(x) + 2*t(x). Suppose j(a) = 0. What is a?
-1, 1
Let j be 4/(-26) + 270/65. Let m be (-2 + j)*(-10)/(-4). Factor 3/4*w**3 + 1/4*w**2 + 1/4*w**m + 0*w + 0 + 3/4*w**4.
w**2*(w + 1)**3/4
Factor 1/2*t - 9/4*t**2 + 0.
-t*(9*t - 2)/4
Let l be 58/8 - 66/11. Determine j, given that -1/2*j + 9/4*j**3 - 5/4*j**2 - 7/4*j**5 + 0 + l*j**4 = 0.
-1, -2/7, 0, 1
Suppose 2*j + 7*j + 9 = 0. Let k be (11/(165/(-18)))/j. Determine g so that -6/5*g**2 - 2/5*g**3 - k*g - 2/5 = 0.
-1
Let t(i) be the second derivative of i**6/48 - i**5/60 + 2*i**2 - i. Let j(m) be the first derivative of t(m). Determine v, given that j(v) = 0.
0, 2/5
Factor -9/2*l - 25/2*l**3 + 0 - 2*l**4 - 21*l**2.
-l*(l + 3)**2*(4*l + 1)/2
Let b(i) be the third derivative of i**5/20 - 20*i**2. Factor b(l).
3*l**2
Let i(u) be the second derivative of 0 + 1/12*u**3 + 6*u - 1/3*u**2 + 1/72*u**4. Let i(d) = 0. What is d?
-4, 1
Let j(z) = -z**3 - 13*z**2 + 13*z - 11. Let s be j(-14). Suppose 2*c + 10 = -2*k, 2 + s = -k. Find d, given that c + 2/7*d + 4/7*d**2 + 2/7*d**3 = 0.
-1, 0
Let w(n) be the second derivative of n**5/20 - n**4/12 - 2*n**3/3 + 2*n**2 + 5*n. Solve w(y) = 0.
-2, 1, 2
Suppose 9*f = 10*f - 17. Let g = -13 + f. Let 0*p + 0 - 2/9*p**2 - 2/9*p**g - 4/9*p**3 = 0. What is p?
-1, 0
Let s(n) = -3*n**4 + 10*n**3 + 10*n**2 - 3*n - 7. Let d(a) = -a**4 + 5*a**3 + 5*a**2 - a - 4. Let p(q) = -7*d(q) + 4*s(q). Determine o, given that p(o) = 0.
-1, 0, 1
Let n(w) = -2*w + 0*w**4 - w**4 + w. Let m(t) be the first derivative of -t**6/6 - 4*t**5/5 - 3*t**2/2 - 2. Let x(q) = m(q) - 3*n(q). Let x(k) = 0. Calculate k.
-1, 0
Factor -18/5 - 2/5*h**2 - 12/5*h.
-2*(h + 3)**2/5
Suppose -b - 147 - 48 = 4*l, -2*l = 3*b + 85. Let n be (2*3)/((-675)/l). Find j such that -2/9 - 2/9*j**2 - n*j = 0.
-1
Factor 53*j**3 + 2*j - 107*j**3 + 52*j**3.
-2*j*(j - 1)*(j + 1)
Let w(x) = 2*x**3 + 14*x**2 + 10*x - 14. Let p(k) = 3*k**3 + 27*k**2 + 19*k - 27. Let m(y) = -6*p(y) + 11*w(y). Let m(t) = 0. What is t?
-1, 1, 2
Let f(l) be the second derivative of -1/3*l**4 + 2/15*l**6 + 0*l**2 - 1/3*l**3 + 0*l**5 + 1/21*l**7 + 0 - 3*l. Suppose f(a) = 0. Calculate a.
-1, 0, 1
Let p = -18 - -26. Let q be -2 - (-3 - p - -2). Suppose 32*d**2 + q*d**4 + 9*d**3 + 4 + 2*d**3 + 11*d**2 + 24*d + 19*d**3 = 0. Calculate d.
-2, -1, -2/7
Factor 32 + 11343*r**2 - 89*r - 1511*r**2 + 14720*r**2 + 1609*r + 142228*r**3 + 119164*r**4.
4*(r + 1)*(31*r + 2)**3
Let t be 4/10 + 152/95. Let w(a) be the first derivative of 4 - 1/2*a**4 +