 + 28 = 0, 3*n - 2*b = 17 + 7. Factor -1/3*p**3 + 4/3 - 3*p + n*p**2.
-(p - 4)*(p - 1)**2/3
Let r(w) be the second derivative of w**5/15 + w**4/2 - 32*w**3/9 - 13*w**2 - 656*w. Factor r(v).
2*(v - 3)*(v + 1)*(2*v + 13)/3
Let z(n) be the first derivative of 7/30*n**5 - 2 + 1/12*n**4 + 0*n**2 + 5/36*n**6 + 0*n + 0*n**3. Factor z(u).
u**3*(u + 1)*(5*u + 2)/6
Let q(p) = -2*p**2 - 4*p - 8. Let m(r) = 3*r + 9 + 0*r - 1 - 40*r**2 + 42*r**2. Let c(l) = 4*m(l) + 5*q(l). Let c(j) = 0. What is j?
-2
Let a(q) be the first derivative of -3*q**5/25 - 63*q**4/10 - 108*q**3 - 405*q**2 + 6075*q + 361. Factor a(m).
-3*(m - 3)*(m + 15)**3/5
Let b(o) = -5*o**3 - 825*o**2 - 16815*o - 30. Let a(u) = -2*u**3 - 413*u**2 - 8408*u - 18. Let i(x) = -5*a(x) + 3*b(x). Find c, given that i(c) = 0.
-41, 0
Let k(g) = -g**3 + 7*g**2 - 4*g - 3. Let b = -2 + 8. Let f be k(b). Suppose -6*z**3 - f*z**2 - 11*z + 12*z - 7*z + 3*z**3 = 0. Calculate z.
-2, -1, 0
Let x(b) be the third derivative of -b**6/240 + 3*b**5/40 - 5*b**4/16 - 25*b**3/12 + 7*b**2 - 3. Factor x(o).
-(o - 5)**2*(o + 1)/2
Let f(z) be the second derivative of 1/48*z**4 + 0 - 1/24*z**3 + 1/80*z**5 - 1/8*z**2 + 3*z. Solve f(a) = 0 for a.
-1, 1
Let f = 22 + -21. Let r be -2*f/(-2) - (-2)/10. Solve -2/5*x**2 + r*x**4 - 2*x + 2*x**3 - 4/5 = 0.
-1, -2/3, 1
Let d(j) be the second derivative of -25*j**7/294 - 331*j**6/42 + 1361*j**5/140 + 1387*j**4/84 - 668*j**3/21 + 134*j**2/7 + 83*j. Solve d(v) = 0.
-67, -1, 2/5, 1
Let b(x) be the third derivative of x**7/1050 + 11*x**6/600 + 13*x**5/100 + 3*x**4/8 - 2*x**2 - 10*x. Factor b(a).
a*(a + 3)**2*(a + 5)/5
Let s(g) = 2*g**3 - g**2 - 2*g - 1. Let d be s(2). Factor d - 3*f**2 - 1 + 299*f - 296*f.
-3*(f - 2)*(f + 1)
Suppose -373 + 205 = -161*z + 476. Suppose 1/6*g**5 - 2/3 - 1/6*g**2 + 4/3*g - 5/6*g**3 + 1/6*g**z = 0. What is g?
-2, 1
Let t be (-2)/(-9) - 9/(243/(-12)). Let z(j) be the first derivative of 2*j**2 - t*j**3 - 2*j - 4. Factor z(m).
-2*(m - 1)**2
What is s in 8*s**3 + 8*s**3 - 28*s**3 + 20*s + 7*s**3 = 0?
-2, 0, 2
Determine k, given that 4/5*k + 0 + 1/5*k**3 - 4/5*k**2 = 0.
0, 2
Let c(o) = o**5 - o**4 - o**3 + 2*o**2 + o - 1. Let p(v) = 27*v**5 - 2*v**4 - 30*v**3 + 5*v**2 + 6*v - 3. Let i(m) = -12*c(m) + 4*p(m). Solve i(y) = 0 for y.
-1, -3/8, 0, 1/3, 1
Suppose -10*w + 15 + 45 = 0. Determine r, given that -7 + w*r**2 - 40*r - 2*r**2 + 13*r = 0.
-1/4, 7
Suppose 3*m + 2*m - 47*m**3 - 27*m**3 - 80*m**2 + 30 + 19*m**3 = 0. Calculate m.
-1, 6/11
Let o(y) be the second derivative of -7*y**6/60 + 9*y**5/10 - 9*y**4/8 - 13*y**3/6 + 6*y**2 - 2*y + 85. Determine d, given that o(d) = 0.
-6/7, 1, 4
Let u(w) = 10*w**2 - 3*w - 75. Let r(k) = -12*k**2 + 76. Let n(j) = -3*r(j) - 4*u(j). Suppose n(z) = 0. What is z?
-3, 6
Let h(i) be the third derivative of 0*i + 0 - 6*i**2 - 1/75*i**5 - 1/300*i**6 - 1/60*i**4 + 0*i**3. Factor h(c).
-2*c*(c + 1)**2/5
Let n be (-4)/((-96)/(-2))*-3. Let 1/4*r - n*r**2 + 1/2 = 0. What is r?
-1, 2
Suppose 5*c = -4*r - 706, 0 = 4*c - r + 2*r + 567. Let w = c + 145. Find x such that -x + 0 - 1/2*x**4 + 5/2*x**2 + 1/2*x**5 - 3/2*x**w = 0.
-2, 0, 1
Let z = 901 - 901. Let i(q) be the second derivative of -1/7*q**3 + 0 - 2*q - 1/21*q**4 + z*q**2 + 1/70*q**5. Factor i(m).
2*m*(m - 3)*(m + 1)/7
Let n(v) be the first derivative of 0*v - 4/3*v**3 + 27 + 2*v**2. Factor n(x).
-4*x*(x - 1)
Let s(i) = -i**3 - 12*i**2 - 5*i + 50. Let k(x) = -2*x**3 - 36*x**2 - 16*x + 151. Let c(w) = 4*k(w) - 11*s(w). Find l such that c(l) = 0.
-2, 3
Let i = 15/28 - -11/84. Let c(h) be the second derivative of 1/6*h**4 + i*h**3 + 0 + h**2 + h. Let c(o) = 0. Calculate o.
-1
Let c(m) be the second derivative of -3*m**5/5 + 41*m**4/4 - 23*m**3 + 27*m**2/2 + 28*m. Find d such that c(d) = 0.
1/4, 1, 9
Let i = 58 + -56. Let v(t) = t**2 - 2*t + 2. Let q be v(i). Factor 4/5*r**3 - 2/5*r**4 + 0 + 0*r - 2/5*r**q.
-2*r**2*(r - 1)**2/5
What is a in 6*a + 0 - 1/4*a**2 - 6*a**3 + 1/4*a**4 = 0?
-1, 0, 1, 24
Let v(t) be the second derivative of -t**6/30 + 7*t**5/20 - 13*t**4/12 - t**3/2 + 9*t**2 + t + 443. Factor v(o).
-(o - 3)**2*(o - 2)*(o + 1)
Let r(c) be the third derivative of c**7/210 + 11*c**6/120 + 17*c**5/60 - 11*c**4/24 - 3*c**3 - 136*c**2. Let r(t) = 0. What is t?
-9, -2, -1, 1
Let v(a) be the third derivative of a**6/24 - a**5/12 - 5*a**4/6 + 10*a**3/3 + 102*a**2. Determine g, given that v(g) = 0.
-2, 1, 2
Suppose 3*z = 3*w - 21 + 99, -w = -4*z + 32. Let d be -4*((-4)/(-21))/(w/28). Factor 2/3*o + 0*o**2 + 2/9 - d*o**3.
-2*(o - 1)*(2*o + 1)**2/9
Suppose -9*k + 19 = 1. Suppose -8*w**k + 12*w**2 - 7*w**2 + 6*w + 9 = 0. Calculate w.
-1, 3
Suppose 5*n = -x - 5, 3*x + 0*x + n - 13 = 0. Let y be (-6)/(2 - -1 - x). What is v in 24*v**3 - 21*v**y - 6*v + 3*v = 0?
-1, 0, 1
Let b(a) = a**3 - 16*a**2 - a + 22. Let l be b(16). Let x(h) = -3*h**2 - 5*h - 3. Let p(y) = 2*y**2 + 2*y + 2. Let w(k) = l*x(k) + 11*p(k). Factor w(o).
4*(o - 1)**2
Suppose -5*s + 6*o + 4 = 8*o, 0 = o - 2. Let z(c) be the second derivative of 5*c + s - 9/2*c**3 + 0*c**2 - 3/2*c**4 - 3/20*c**5. Suppose z(b) = 0. Calculate b.
-3, 0
Let k(w) be the first derivative of w**3/3 - 2*w - 1. Let z be k(-2). Factor 3*r**z - r + 5*r - r**2.
2*r*(r + 2)
Let m(c) = -c**3 - 6*c**2 + 18*c + 32. Let i(y) = -3*y**3 - 20*y**2 + 55*y + 96. Let s(b) = -2*i(b) + 7*m(b). Factor s(k).
-(k - 4)*(k + 2)*(k + 4)
Let m be ((-79)/158)/(1*(-5 - -1)). Let o(d) be the third derivative of -m*d**4 + 0*d + 1/20*d**5 + 0 + 0*d**3 - 6*d**2. Factor o(h).
3*h*(h - 1)
Let s(h) be the second derivative of -h**4/3 - 8*h**3/3 + 24*h**2 - 139*h. Suppose s(o) = 0. Calculate o.
-6, 2
Let y(d) = -d**5 - d**4 + 3*d - 1. Let o(i) = 11*i**5 + 54*i**4 + 69*i**3 - 18*i**2 - 6*i + 2. Let j(w) = -o(w) - 2*y(w). Let j(h) = 0. Calculate h.
-3, 0, 2/9
Let g(r) be the first derivative of r**3/7 + 9*r**2/2 + 60*r/7 + 106. Factor g(t).
3*(t + 1)*(t + 20)/7
Let u(j) = -j**2 + 24*j + 1458. Let z be u(52). Factor 12/7*t**z + 2/7*t**3 + 16/7 + 24/7*t.
2*(t + 2)**3/7
Let t(i) be the third derivative of -i**7/2100 + 41*i**6/100 - 15129*i**5/100 + 620289*i**4/20 - 76295547*i**3/20 - i**2 + 48. Factor t(o).
-(o - 123)**4/10
Let h = -30 - -32. Factor 26*m + 18*m**3 - 3 - 40*m**h - 3 - 3 + 5.
2*(m - 1)**2*(9*m - 2)
Let g(z) = -2*z**3 - 43*z**2 - 2*z - 34. Let p(q) = -q**3 - 21*q**2 - q - 17. Let x(c) = 6*g(c) - 13*p(c). Let b be x(-15). Factor -b - 1/2*a**2 + 2*a.
-(a - 2)**2/2
Suppose -1903 = -4*o - 1895. Factor 2/3 + 2/3*l**o + 4/3*l.
2*(l + 1)**2/3
Let g(p) be the third derivative of p**8/1008 + p**7/126 + p**6/45 + p**5/45 - 76*p**2 - 1. Suppose g(h) = 0. What is h?
-2, -1, 0
Let n(p) = -6*p**3 + p**2 + 41*p + 13. Let r(m) = -2*m**3 + 12*m + 4. Let g(s) = -4*n(s) + 14*r(s). Factor g(t).
-4*(t - 1)*(t + 1)**2
Let g be (-5 - -1) + (75392/224)/31. Suppose -4/7*k**3 + g*k**2 + 0 - 144/7*k = 0. What is k?
0, 6
Let u be 5 + ((-4)/(-2))/(-2). Let w(g) = 4*g**2 + g + 5. Let j(n) = 18*n - 557. Let r be j(31). Let d(z) = z - 1. Let b(x) = r*w(x) + u*d(x). Factor b(k).
(k + 1)*(4*k + 1)
Let u = 12353/4 + -3088. What is k in u*k - 1/4 - 1/4*k**3 + 1/4*k**2 = 0?
-1, 1
Let b(a) be the second derivative of -23*a**6/30 - 137*a**5/10 - 90*a**4 - 688*a**3/3 + 64*a**2 + 79*a. Factor b(o).
-(o + 4)**3*(23*o - 2)
Let 15/4*k**3 - 9/2*k**2 + 3/4*k**4 + 24 - 24*k = 0. What is k?
-4, 1, 2
Let k(j) = -j**2 - 15*j - 12. Let d be k(-14). What is a in 44*a**d + 11*a**3 + 25*a - 9*a**2 + 22 - 22 + a**4 = 0?
-5, -1, 0
Let c(b) be the second derivative of -b**4/3 + 10*b**3/3 + 2*b + 4. Factor c(n).
-4*n*(n - 5)
Let p(t) be the first derivative of -t**6/4 + t**5 + 41*t**4/8 + 20*t**3/3 + 3*t**2 - 107. Determine j, given that p(j) = 0.
-1, -2/3, 0, 6
Factor -15 - 4*q**4 + 9*q**4 + 99*q**3 - 53*q**2 + 20*q - 119*q**3 + 63*q**2.
5*(q - 3)*(q - 1)**2*(q + 1)
Let k(p) = -p**2 + 7*p + 11. Let o be k(6). Suppose -5*l = -j - o, 3*l - 5*j = -j. Let -3*v + 3/2*v**2 - 63/2*v**l + 0 + 33*v**3 = 0. What is v?
-2/7, 0, 1/3, 1
Factor 10/13*v**2 + 2/13*v**5 - 18/13*v**3 + 0 + 6/13*v**4 + 0*v.
2*v**2*(v - 1)**2*(v + 5)/13
Suppose 273*n + 123 = 314*n. Factor 3/4*y**n - 3*y**2 + 0 + 9/4*y.
3*y*(y - 3)*(y - 1)/4
Suppose 15*u = 20*u - 160. Suppose 31*b = u*b - 3. Factor 1/4*l**b + 1/4*l**2 + 0*l + 0.
l**2*(l + 1)/4
Let h(w) be the first deriv