4 + t**2 + 6*t.
-2*(t - 2)*(t - 1)
Let k(t) be the first derivative of 11 + 6*t - 13*t**3 + 7/2*t**2 + 33/4*t**4 - 7/5*t**5. Factor k(s).
-(s - 3)*(s - 1)**2*(7*s + 2)
Let q(d) be the third derivative of d**6/15 + d**5/30 - 9*d**4/4 + 6*d**3 - 192*d**2. Solve q(h) = 0 for h.
-3, 3/4, 2
Let w(x) = -2*x**3 - 6*x**2 - 10*x - 10. Let a(p) = p**3 + p**2 + 1. Let m(q) = -4*a(q) - w(q). Suppose m(f) = 0. What is f?
-1, 3
Let o(q) be the third derivative of -q**7/280 + 3*q**5/40 - q**4/4 + 7*q**3/3 - 12*q**2. Let d(h) be the first derivative of o(h). Factor d(m).
-3*(m - 1)**2*(m + 2)
Suppose -o = -0*o - x - 166, -x = 1. Let y = o + -821/5. Let -4/5*k**4 + 0*k - 4/5*k**3 + 4/5*k**5 + 0 + y*k**2 = 0. What is k?
-1, 0, 1
Let w(s) = 12*s**4 - 4*s**3 + 18*s**2 - 6*s. Let j(t) = -t**4 - t**3 + t**2 - t. Let d(i) = -10*j(i) - w(i). Factor d(o).
-2*o*(o - 4)*(o - 2)*(o - 1)
Suppose -2*n + 13477 = 13473. Determine u, given that 0 + 0*u + 2/9*u**4 + 4/9*u**3 + 2/9*u**n = 0.
-1, 0
Let a(g) = -2*g**3 - 2*g**2 - 1. Let o(r) = -7*r**3 - 47*r**2 + 40*r + 74. Let v(c) = 6*a(c) - o(c). Determine x, given that v(x) = 0.
-1, 4
Let w = -122 - -122. Let v be (6 - 7) + (w - -3). Determine j, given that 4/7*j**v - 10/7*j + 8/7*j**3 + 4/7 - 8/7*j**4 + 2/7*j**5 = 0.
-1, 1, 2
Let f(m) = -100*m**2 + 450*m - 775. Let d(h) = -11*h**2 + 50*h - 86. Let o(j) = -55*d(j) + 6*f(j). Solve o(z) = 0.
2, 8
Let o(k) be the third derivative of 7/120*k**5 + 0*k**3 - 8*k**2 + 0 + 1/24*k**4 + 0*k. Find x, given that o(x) = 0.
-2/7, 0
Suppose 5 = -5*h - 0*h, -3*p + 4*h + 10 = 0. Let w(k) be the third derivative of 0 - 9*k**p - 1/21*k**4 + 0*k - 4/21*k**3 - 1/210*k**5. Factor w(j).
-2*(j + 2)**2/7
Let h(w) = 2*w**5 + w**3 - w + 1. Let c(q) = -19*q**5 + 35*q**4 + 137*q**3 + 288*q**2 + 267*q + 69. Let m(n) = -2*c(n) - 22*h(n). Solve m(v) = 0.
-5, -2, -2/3
Suppose 0 + 78 = -10*g + 36*g. Let 2/9*k**2 + 0 - 4/9*k + 2/9*k**g = 0. Calculate k.
-2, 0, 1
Let p = -26801/40073061 - -10/10689. Let n = 809777/26243 + p. What is q in 108/7*q**2 + 162/7 - 24/7*q**3 + 2/7*q**4 - n*q = 0?
3
Let i(s) = -48*s + 84. Let l be i(20). Let j = -6109/7 - l. Solve 20/7*q - j*q**2 - 4/7 + q**3 = 0 for q.
2/7, 1, 2
Let x(i) = 2*i + 20. Let j be x(-8). Factor -k**j + 4*k + 15 - 15 - 3*k**3 + 0*k**3.
-k*(k - 1)*(k + 2)**2
Suppose -4*i = -i, 4*u - 2*i - 8 = 0. Let q be (-4)/18 - (4 + (-651)/135). What is o in 0 - q*o**3 + 6/5*o - 3/5*o**u = 0?
-2, 0, 1
Let l(c) be the second derivative of -c**4/28 + 3*c**3/14 - 3*c**2/7 - 47*c - 1. Let l(n) = 0. Calculate n.
1, 2
Let v = 462/335 + -12/67. Let g = 1301/720 + -1/144. Factor v*s + g*s**2 + 0.
3*s*(3*s + 2)/5
Let f(m) = -12*m**4 - 40*m**3 + 4*m**2 + 16*m - 16. Let c(d) = d**4 + 2*d**3 - d + 1. Let p(w) = -16*c(w) - f(w). Factor p(z).
-4*z**2*(z - 1)**2
Let f(i) be the second derivative of 1/12*i**4 + 0*i**3 + 0 + 1/2*i**2 - 1/60*i**5 + 2*i. Let c(d) be the first derivative of f(d). Factor c(y).
-y*(y - 2)
Let y = -6/7763 + 124226/23289. Factor 0 - 4/3*z**2 - y*z.
-4*z*(z + 4)/3
Let r(v) be the third derivative of v**8/420 + v**7/84 + v**6/180 - v**5/30 - 23*v**3/6 - 24*v**2. Let x(f) be the first derivative of r(f). Factor x(l).
2*l*(l + 1)*(l + 2)*(2*l - 1)
Let a = -184 - -184. Let y(q) be the second derivative of 1/54*q**4 - 1/9*q**2 + a - 1/27*q**3 + 1/90*q**5 + 2*q. Suppose y(i) = 0. What is i?
-1, 1
Let b(u) = -3*u**3 - 2*u**2 - 2. Let f be b(-2). Let y be 10/(-35) - (-172)/f. Factor 2*g**4 - 4 - 9*g**4 - 8*g**2 + 4*g**5 + 8*g**3 + 19*g**4 - y*g.
4*(g - 1)*(g + 1)**4
Let t(u) be the second derivative of 0 + 1/60*u**6 - u - 1/10*u**5 + 1/4*u**4 - 1/3*u**3 + 1/4*u**2. Factor t(r).
(r - 1)**4/2
Let m be (-3 - (-3 + 2)) + (-8)/(-4). Suppose -3*n + 9*n = m. Factor n - 1/5*d + 0*d**2 + 1/5*d**3.
d*(d - 1)*(d + 1)/5
Factor 105*o**2 + 8 - 4*o - 8*o - 101*o**2.
4*(o - 2)*(o - 1)
Suppose -3*a + 27 = 21. Let n be (-44)/(-121) + (-40)/22 + a. Solve 6/11*x + 4/11*x**2 - 4/11 - n*x**3 = 0 for x.
-1, 2/3, 1
Suppose 2 = a + 1. Let b(r) be the third derivative of r**5/30 - r**4/6 + r**3/3 - 2*r**2. Let t(k) = -k**2 + k. Let l(p) = a*b(p) + 4*t(p). Factor l(w).
-2*(w - 1)*(w + 1)
Suppose -3*v + 2 = -2*t, -22 = 2*v + t - 28. Suppose 2/9*x**v + 8/9 + 8/9*x = 0. What is x?
-2
Find q, given that 8/3*q**2 + 8*q - 14/3*q**3 + 2/3*q**4 + 0 = 0.
-1, 0, 2, 6
Let i = -5601/40 - -1125/8. Factor i*p**2 - 3/5 + 3*p - 3*p**3.
-3*(p - 1)*(p + 1)*(5*p - 1)/5
Let a(v) = -3*v - 10. Let y be a(-4). Let o be 4*((-92)/24 - -4). Factor -o*i**3 + 2/3*i - y*i**2 + 2/3*i**4 + 4/3.
2*(i - 2)*(i - 1)*(i + 1)**2/3
Let o(b) = -715*b + 2147. Let q be o(3). Factor 15/7*s + 3/7*s**q + 12/7.
3*(s + 1)*(s + 4)/7
Let q(d) be the third derivative of d**6/540 - d**5/135 - d**4/36 + 30*d**2 - 2*d. Factor q(r).
2*r*(r - 3)*(r + 1)/9
Suppose 4*g - 101 = x, -41 = -18*g + 17*g - 5*x. Suppose -21*m = -g*m + 10. Factor 7/11*l - 1/11*l**5 - 2/11*l**4 + 2/11*l**3 + 8/11*l**m + 2/11.
-(l - 2)*(l + 1)**4/11
Let d(q) be the third derivative of -q**6/30 - q**5/5 - q**4/3 - 169*q**2. Determine n so that d(n) = 0.
-2, -1, 0
Find c such that 12*c**2 + 0 + 21/4*c**5 + 81/2*c**4 + 225/4*c**3 - 9*c = 0.
-6, -1, 0, 2/7
Suppose 0 = 2*y - 10 + 4. Factor -17*o**4 + 5*o**4 - 2*o**5 - 2*o**y - o**5 - 7*o**3.
-3*o**3*(o + 1)*(o + 3)
Let y = -23 - -25. Suppose -7*f + 2 - 4*f**4 + 3*f**4 + 9*f**y + 7*f**4 - 5*f**3 - 5*f**4 = 0. Calculate f.
1, 2
Let u(f) be the third derivative of -f**5/30 + 11*f**4/2 - 65*f**3/3 + 9*f**2 + 10. Factor u(r).
-2*(r - 65)*(r - 1)
Suppose -y + 3*q + 10 + 7 = 0, 0 = -2*y + 2*q + 14. Let a(d) be the first derivative of -5 + 4*d + 2/3*d**3 + 3*d**y. Factor a(s).
2*(s + 1)*(s + 2)
Let k(w) be the second derivative of 9*w**5/80 + w**4/16 - w**3 + 3*w**2/2 - w + 4. Solve k(u) = 0.
-2, 2/3, 1
Let w be 3/9*(-6 - -54). Find z such that -4*z**4 - 8*z + w*z**3 - 3*z**5 + 8*z**2 - 4 - 6 + 6 - 5*z**5 = 0.
-1, -1/2, 1
Suppose 1 = -p - y, -p + 11 = 5*y - 8*y. Let j(h) be the first derivative of 4 + 16/3*h**3 + p*h**2 + 0*h + 15/4*h**4. Let j(t) = 0. What is t?
-2/3, -2/5, 0
Let c(w) be the first derivative of 4*w**3/3 + 16*w**2 + 48*w - 402. Determine v, given that c(v) = 0.
-6, -2
Let y be (-48)/(-21) - ((-37)/(-7) + -5). Let u(f) be the third derivative of 0*f + 1/15*f**5 + 1/15*f**6 - 1/3*f**4 + 0 - f**y - 2/3*f**3. Factor u(j).
4*(j - 1)*(j + 1)*(2*j + 1)
Factor -36/11*r + 1/11*r**2 + 324/11.
(r - 18)**2/11
Let t(m) be the first derivative of m**3/12 + 19*m**2/8 + 38. Let t(u) = 0. Calculate u.
-19, 0
Let s(a) be the third derivative of -a**6/30 - 7*a**5/30 + 3*a**3 + 2*a**2 + 129*a. Suppose s(l) = 0. Calculate l.
-3, -3/2, 1
Let p(l) be the first derivative of l**5/5 + l**4/2 - 4*l**3/3 - 4*l**2 + 240. Determine c so that p(c) = 0.
-2, 0, 2
Let f be -5 - (-96 + -2)*3/30. Factor 0*t + 4/5*t**2 + 0 + 36/5*t**4 - f*t**3.
4*t**2*(3*t - 1)**2/5
Let w be 8/14 + (-918)/(-1309). Factor -w*n**2 - 8/11 + 32/11*n.
-2*(n - 2)*(7*n - 2)/11
Let v = 275/342 - -29/342. Factor -2*m - 4/3*m**2 - v - 2/9*m**3.
-2*(m + 1)**2*(m + 4)/9
Factor -14327 + 4024 - 20425 + 480*h + 1065 - 2*h**2 + 863.
-2*(h - 120)**2
Let r(w) be the third derivative of -w**10/37800 + w**9/5040 - w**5/20 + 8*w**2. Let j(c) be the third derivative of r(c). Suppose j(v) = 0. What is v?
0, 3
Let q(r) = -r**4 + r**3 + 2*r. Let c(w) = -8*w**3 + 30*w**2 - 42*w + 24. Let m(i) = -c(i) + q(i). Let m(d) = 0. Calculate d.
2, 3
Let d(s) be the first derivative of -11 + 0*s - 2/51*s**3 + 2/17*s**2 - 1/17*s**4 + 2/85*s**5. Determine i so that d(i) = 0.
-1, 0, 1, 2
Let t(j) = 9*j - 7 - 23*j - 9*j**4 - 3*j**3 + 21*j. Let g(h) = 4*h**4 + h**3 - 3*h + 3. Let d(f) = -7*g(f) - 3*t(f). Factor d(b).
-b**3*(b - 2)
Let g = -4 - -1. Let b = -16 + 21. Let l(j) = 2*j**3 + j - 3. Let q(t) = 3*t**3 + 2*t - 5. Let a(i) = b*l(i) + g*q(i). Factor a(h).
h*(h - 1)*(h + 1)
Suppose -609 = 12*i - 22*i - 569. Factor 0 + 0*f**i - 2/5*f**5 + 0*f + 6/5*f**3 + 4/5*f**2.
-2*f**2*(f - 2)*(f + 1)**2/5
Let f(c) = -29*c**5 + 64*c**4 - 30*c**3 - 28*c**2 + 11*c. Let r(x) = -30*x**5 + 65*x**4 - 30*x**3 - 30*x**2 + 10*x. Let k(o) = -5*f(o) + 4*r(o). Factor k(d).
5*d*(d - 1)**3*(5*d + 3)
Let m = -19075 - -19075. Solve -56/19*v**2 + 2*v**4 - 14/19*v**5 + m + 12/19*v**3 - 16/19*v = 0.
-1, -2/7, 0, 2
Let z(t) be the second derivat