late r.
-11, -1
Let o(z) = 2*z**2. Let n(m) = -17*m + 2 + 13*m + 4. Let d be n(4). Let c(g) = -11*g**2 + 2*g. Let h(b) = d*o(b) - 2*c(b). Factor h(k).
2*k*(k - 2)
Suppose -6*x + 10 + 14 = 0. Factor -4*z**5 + x*z**3 - 8*z**2 + 8*z**2.
-4*z**3*(z - 1)*(z + 1)
Let y(a) be the first derivative of -22 + 2/15*a**4 + 0*a**2 + 2/75*a**5 + 0*a + 8/45*a**3. Factor y(x).
2*x**2*(x + 2)**2/15
Suppose -5*j = -4*b + 5, 3*j - 2 = -5*b + 5*j. Suppose -4*k + 8 + 0 = b. Let -2*t**4 - 4/5*t**5 - 2/5*t**3 + 0 + 4/5*t**k + 0*t = 0. What is t?
-2, -1, 0, 1/2
Let v = 9 - 5. Suppose 5*k - 14 = 2*i, -v*k + 2*i - 2 = -3*k. Factor 0 - c + k*c + 2 + c**2.
(c + 1)*(c + 2)
Let d be (16/(-5) + 2)/((-9)/30). Let f be (-6)/((-180)/95) + 10/(-4). Find k such that -2/3*k**d + 0*k - 2/3*k**3 + 0 + 2/3*k**5 + f*k**2 = 0.
-1, 0, 1
Let a = 169/6 - 2618/93. Let v = a + 107/1054. Factor 4/17*m**3 - 2/17*m - 2/17*m**5 - 2/17*m**4 + 4/17*m**2 - v.
-2*(m - 1)**2*(m + 1)**3/17
Let m(t) be the third derivative of -t**6/720 + t**5/180 - t**4/144 + 168*t**2. Let m(a) = 0. Calculate a.
0, 1
Suppose -5*z + 5*z - 6*z = 0. Let c(w) be the first derivative of -1/18*w**3 + 6 + 0*w + z*w**2. Factor c(i).
-i**2/6
Let u(x) be the first derivative of x**5/25 + x**4/10 - x**3/5 - 2*x**2/5 + 4*x/5 - 518. Find s, given that u(s) = 0.
-2, 1
Let q(z) be the second derivative of -z**7/840 - z**6/90 - z**5/40 - 7*z**3/2 - 9*z. Let s(g) be the second derivative of q(g). Suppose s(r) = 0. Calculate r.
-3, -1, 0
Let z(b) be the third derivative of b**9/3780 + b**8/1680 - b**7/630 - b**6/180 + 17*b**4/24 - 11*b**2. Let g(d) be the second derivative of z(d). Factor g(a).
4*a*(a - 1)*(a + 1)**2
Factor 0*u - 1/3*u**5 + 0 + 0*u**2 + 1/3*u**4 + 2/3*u**3.
-u**3*(u - 2)*(u + 1)/3
Factor 84*x**2 + 2*x**4 - 33*x**2 - 25*x**2 + 28*x**3.
2*x**2*(x + 1)*(x + 13)
Let -50*q**3 - 1 + 31*q**2 + 17*q**3 - 76*q**2 + 1 - 12*q = 0. What is q?
-1, -4/11, 0
Suppose o - 54 = -2*o. Let l be (o/(-24))/(1/(-4)). Factor 18*s**l + 3*s**5 - 6*s**4 - 3*s**4 - 15*s**3 + 17*s**2 - 6*s - 8*s**2.
3*s*(s - 2)*(s - 1)**2*(s + 1)
Let y be 4 + (-2 - 3 - -4). Suppose 96/5 + 21/5*b**y - 3/5*b**4 - 96/5*b - 18/5*b**2 = 0. Calculate b.
-2, 1, 4
Suppose -10*o = -7*o. Find j such that -10 - 21*j**4 - 15*j**2 - 25*j + 5*j**3 + 26*j**4 + o*j**3 = 0.
-1, 2
Let m be (-2424)/45 + (-4)/30. Let v be ((-4)/m)/(4/12). Factor -2/3*a - 2/9*a**3 - 2/3*a**2 - v.
-2*(a + 1)**3/9
Let c(s) be the first derivative of -1/9*s**4 - 2/3*s**2 - 16/27*s**3 + 0*s - 19. Solve c(x) = 0 for x.
-3, -1, 0
Let r = 35 - 35. Suppose -4*v - 4*i + 20 = r, -v + 2*i + 0*i = 4. Factor -6/13*p + 0*p**v + 4/13 + 2/13*p**3.
2*(p - 1)**2*(p + 2)/13
Suppose 8 - 72 = 4*m. Let k = m + 18. Solve -1 - a**3 + 7*a - k*a**4 - 3*a**2 + 9*a**2 + 3 = 0.
-1, -1/2, 2
Let x(a) be the first derivative of -1/2*a**4 + 0*a + 17 + 0*a**3 + 2/5*a**5 + 0*a**2. Determine y, given that x(y) = 0.
0, 1
Factor 0 + 522/7*t - 6/7*t**2.
-6*t*(t - 87)/7
Let r(j) be the first derivative of -j**4/28 + j**3 - 21*j**2/2 + 49*j + 137. Factor r(m).
-(m - 7)**3/7
Let z(m) be the second derivative of m**6/240 - m**5/40 + m**4/16 + 2*m**3/3 + 8*m. Let i(a) be the second derivative of z(a). Solve i(o) = 0.
1
Let l(c) be the second derivative of -c**4/48 + 4*c**3 - 288*c**2 - 19*c. Find h such that l(h) = 0.
48
Suppose -t = 1 - 4. Let 3*m**3 - 8*m**3 + 3*m**3 - t*m**2 + m**3 - 3*m - 1 = 0. What is m?
-1
Let d(a) be the first derivative of a**5/4 - 5*a**3/6 + 5*a - 18. Let h(i) be the first derivative of d(i). Let h(y) = 0. What is y?
-1, 0, 1
Let o(d) = 18*d - 18 + 13*d**2 + 7*d**2 + d**2. Let m(a) = 4*a - 2. Let z be m(5). Let i(y) = 6*y**2 + 5*y - 5. Let v(h) = z*i(h) - 5*o(h). Factor v(r).
3*r**2
Let g(d) = -3*d**3 - d**2 + 2*d + 5. Let r = 25 - 29. Let v(q) = -2*q**3 + 2*q + 4. Let n(t) = r*g(t) + 5*v(t). Determine i so that n(i) = 0.
-1, 0
Let l(d) be the first derivative of -3*d**3 + 11*d**2/2 - 2*d + 32. Factor l(m).
-(m - 1)*(9*m - 2)
Let b(m) be the third derivative of m**7/84 + m**6/40 - m**5/30 - m**4/8 - m**3/12 + 7*m**2. Factor b(i).
(i - 1)*(i + 1)**2*(5*i + 1)/2
Let w(v) = -2*v**2 - 3*v. Let s(m) = -3*m**2 - 5*m. Let d be ((-2)/(-4)*-3)/((-1)/(-2)). Let r(l) = d*s(l) + 5*w(l). Factor r(k).
-k**2
Let b(w) be the third derivative of -w**8/112 + w**7/5 - 5*w**6/8 + 3*w**5/5 - 2*w**2 + 6. Suppose b(c) = 0. Calculate c.
0, 1, 12
Let d(g) be the third derivative of g**6/780 - g**5/30 + 5*g**4/26 + 101*g**2. What is z in d(z) = 0?
0, 3, 10
Let l = -5 + 8. Suppose 4 = -x - x, l*j + 5*x + 1 = 0. Factor 0 - 1/2*y**2 + 1/4*y + 1/4*y**j.
y*(y - 1)**2/4
Let d(h) be the third derivative of -2*h**7/35 - 13*h**6/30 - 19*h**5/15 - 11*h**4/6 - 4*h**3/3 - 27*h**2. Let d(f) = 0. What is f?
-2, -1, -1/3
Let h = -106 + 106. Suppose h - 2/15*j**4 - 4/5*j - 4/5*j**3 - 22/15*j**2 = 0. Calculate j.
-3, -2, -1, 0
Let b(i) = -48*i**2 - 77*i + 23. Let v(y) be the first derivative of y**3/3 - y**2/2 - y - 21. Let q(p) = -b(p) - 3*v(p). Let q(s) = 0. Calculate s.
-2, 2/9
Factor 64/7*h**2 - 40/7*h + 2/7*h**4 + 0 - 26/7*h**3.
2*h*(h - 10)*(h - 2)*(h - 1)/7
Let q be 4/(-120)*8 + (-6)/(-15). Let -4/15*v - 2/5 + q*v**2 = 0. What is v?
-1, 3
Let k(w) be the first derivative of 0*w - 4*w**2 + 23/5*w**5 + 15/2*w**4 + 5/6*w**6 + 1 + 4/3*w**3. Find j such that k(j) = 0.
-2, -1, 0, 2/5
Let y = 191 + -185. Let c(t) be the third derivative of 0*t**3 + 1/150*t**5 + 0*t + 1/300*t**y + 0*t**4 + 0 - 7*t**2. Factor c(u).
2*u**2*(u + 1)/5
Let l be 5/(975/30)*(3 - 1). Let -2/13*o + l - 2/13*o**2 = 0. Calculate o.
-2, 1
Let m(z) be the second derivative of -z**6/80 + z**5/8 - 3*z**4/16 - 23*z**3/6 + 23*z. Let n(t) be the second derivative of m(t). Factor n(p).
-3*(p - 3)*(3*p - 1)/2
Factor 1/4*d**2 + 9/2*d + 0.
d*(d + 18)/4
Suppose 3634*k - 296 = 3486*k. Let -2/3 - 1/3*g**4 + g**k - 1/3*g**3 + 1/3*g = 0. What is g?
-2, -1, 1
Let i(l) be the first derivative of l**6/720 - l**5/40 + 5*l**4/48 + 2*l**3 - 29. Let x(z) be the third derivative of i(z). Factor x(f).
(f - 5)*(f - 1)/2
Let p(t) be the first derivative of -t**5/70 - t**4/42 + 4*t**3/21 + 4*t**2/7 + 8*t - 15. Let c(h) be the first derivative of p(h). Solve c(m) = 0.
-2, -1, 2
Let w(i) = -4*i + 2. Let v be w(4). Let y = -8 - v. Find g, given that 0*g**4 + 10 - y + g**4 - 5*g**2 = 0.
-2, -1, 1, 2
Let i(t) be the third derivative of -t**5/12 + 5*t**4/8 - 242*t**2. Factor i(h).
-5*h*(h - 3)
Let t(i) be the first derivative of -1/2*i**3 - i - 5/4*i**2 - 11. Factor t(g).
-(g + 1)*(3*g + 2)/2
Suppose -3*d = -d - 4. Suppose 0 = 4*s + 4*h + d - 34, 27 = 4*s + 3*h. Let -s*y + 0 - 2 + y**2 + 4*y = 0. Calculate y.
-2, 1
Let x(b) be the third derivative of 1/4*b**3 + 0 - 1/20*b**5 + 1/16*b**4 + 0*b - 6*b**2. Suppose x(n) = 0. Calculate n.
-1/2, 1
Let u(b) = -b**2 + 10*b - 8. Let y be u(9). Let g(n) = 6*n - 2. Let z be g(y). Suppose i**5 - 4*i**5 - z*i**4 + 2*i**4 + 5*i**4 = 0. What is i?
0, 1
Let v(a) be the third derivative of -7*a**5/270 + 23*a**4/108 - 2*a**3/3 - 23*a**2 - 2. What is w in v(w) = 0?
9/7, 2
Factor 198 + 195 + 58*x - 84*x**2 - 357 - 10*x**3.
-2*(x - 1)*(x + 9)*(5*x + 2)
Let t(w) = -86*w**2 - 87*w - 16. Let h(v) = -44*v**2 - 43*v - 8. Let d(g) = -7*h(g) + 3*t(g). Suppose d(q) = 0. Calculate q.
-2/5
Let p(x) be the second derivative of -x**5/90 - x**4/4 - 8*x**3/9 - 23*x**2/2 + 10*x. Let a(v) be the first derivative of p(v). Factor a(t).
-2*(t + 1)*(t + 8)/3
Let d = -2/3 + 17/12. Let h be -1 - (54/(-12) - -2). Suppose 9/4*b + h + d*b**2 = 0. What is b?
-2, -1
Let p(o) be the first derivative of 2*o**3/15 + 3*o**2 - 89. Find n, given that p(n) = 0.
-15, 0
Factor 16*o**2 - 3 - 17 - 24*o - 12*o**2 - 8*o**2.
-4*(o + 1)*(o + 5)
Let v(u) be the second derivative of -u**9/3024 + u**8/1680 + u**7/420 + 7*u**3/6 + 26*u. Let m(y) be the second derivative of v(y). Factor m(x).
-x**3*(x - 2)*(x + 1)
Let a = -107/22 + 59/11. Let u(o) be the first derivative of -2/5*o**5 + 2/3*o**3 + 6 - a*o**4 + 0*o + 1/3*o**6 + 0*o**2. Suppose u(h) = 0. What is h?
-1, 0, 1
Factor -32 + 2*o**4 + 20*o + 0 - 36*o**3 + 28*o**2 + 2*o**4 + 16*o.
4*(o - 8)*(o - 1)**2*(o + 1)
Let q(o) be the second derivative of -5*o**7/42 - 2*o**6/3 + 5*o**5/4 + 6*o - 2. Solve q(i) = 0.
-5, 0, 1
Let p be 1*(-1 - (-6 - -1)). Suppose 2*m + 23 = 5*j, -5 = 5*j + 4