 + 36. Factor j(u).
-(u - 41)*(u + 1)/4
Let j(b) be the third derivative of b**5/510 + 2*b**4/3 + 5*b**2 + 1. Factor j(k).
2*k*(k + 136)/17
Let u(p) be the second derivative of -p**6/280 + p**5/140 + p**4/28 + p**2 + 8*p. Let j(m) be the first derivative of u(m). Solve j(l) = 0 for l.
-1, 0, 2
Let p(z) = -17*z**5 - 7*z**4 - 12*z**3 - 18*z**2. Let q(o) = -2*o**5 - o**4 - o**3 - 2*o**2. Let t(x) = 4*p(x) - 36*q(x). Factor t(w).
4*w**3*(w - 1)*(w + 3)
Let q(u) be the third derivative of -u**7/350 + 3*u**6/50 + 39*u**5/50 + 29*u**4/10 + 51*u**3/10 - u**2 + 17*u. Solve q(r) = 0 for r.
-3, -1, 17
Let m = -41 - -41. Let i = 4 + m. Suppose 0*x**2 + 0 - 1/3*x**5 + 0*x - 1/3*x**i + 0*x**3 = 0. What is x?
-1, 0
Factor -12/13*u - 2/13*u**2 + 0.
-2*u*(u + 6)/13
Let t(h) = 4*h**5 - 6*h**4 + 8*h**3 + 2*h - 2. Let d(x) = -x**5 - x**3 - x**2 - x + 1. Let r(u) = -4*d(u) - 2*t(u). Factor r(o).
-4*o**2*(o - 1)**3
Let q(v) be the third derivative of -v**6/60 + 11*v**5/30 + 10*v**4/3 + 28*v**3/3 + 5*v**2. Let q(d) = 0. What is d?
-2, -1, 14
Let h(s) be the first derivative of s**6/8 + 9*s**5/20 + 3*s**4/16 - 3*s**3/4 - 3*s**2/4 - 479. Find t, given that h(t) = 0.
-2, -1, 0, 1
Let o = 5219 + -5217. Suppose -3/8*w + 9/8*w**o + 0 = 0. What is w?
0, 1/3
Let j(q) be the third derivative of -q**7/525 - q**6/120 - q**5/150 - 20*q**2 + 8. Factor j(k).
-k**2*(k + 2)*(2*k + 1)/5
Let p(z) be the first derivative of -2*z**3/33 - 15*z**2/11 + 32*z/11 + 127. Factor p(g).
-2*(g - 1)*(g + 16)/11
Let a(q) = q - 1. Let t(p) = -2*p**2 - 23*p - 7. Let r(x) = -14*a(x) - 2*t(x). Factor r(n).
4*(n + 1)*(n + 7)
Let w(g) be the first derivative of -g**6/210 - g**5/140 + g**4/84 + g**3/42 - 3*g + 3. Let t(o) be the first derivative of w(o). What is b in t(b) = 0?
-1, 0, 1
Let n be 6/(-18)*(-42)/245. Let i(h) be the first derivative of -2/21*h**3 + n*h**5 + 0*h + 4 - 1/7*h**2 + 1/14*h**4. Factor i(b).
2*b*(b - 1)*(b + 1)**2/7
Let p = 14 - -16. Suppose 10*k - 5*k = p. Factor -2*r**5 + 2 - 4*r - 4*r**2 + 0*r**5 + 16*r**3 + k*r**5 - 14*r**4.
2*(r - 1)**4*(2*r + 1)
Let r be (-1)/(2*3/(-24)). Determine f so that 4*f**4 + 6*f**3 - r*f**2 + 2*f + 0*f**2 - 8*f**3 = 0.
-1, 0, 1/2, 1
Let i(j) be the first derivative of -3*j**5/20 - 5*j**4/4 - 3*j**3 - 55*j + 47. Let l(c) be the first derivative of i(c). Determine y so that l(y) = 0.
-3, -2, 0
Let q(z) be the first derivative of -2*z**5/15 + 11*z**4/6 + 4*z**3 - 17*z**2/2 - 15. Let u(n) be the second derivative of q(n). Factor u(t).
-4*(t - 6)*(2*t + 1)
Factor w**4 + 24 + 37*w**2 + 40 - 4*w**2 + 112*w + w**4 - 14*w**3 - w**4.
(w - 8)**2*(w + 1)**2
Let p(f) = -f - 1. Let k(r) = r**2 + 2*r + 9. Let m = 92 - 86. Let j(u) = m*p(u) + k(u). Factor j(l).
(l - 3)*(l - 1)
Let p(d) = -d**4 + 47*d**3 + 123*d**2 + 133*d + 50. Let s(u) = 2*u**4 - 49*u**3 - 123*u**2 - 131*u - 49. Let k(h) = 5*p(h) + 4*s(h). Solve k(f) = 0 for f.
-9, -2, -1
Let n = -47 - -49. What is x in -2*x**n - 8 + 6 + 4*x + 2 = 0?
0, 2
Let k(o) be the first derivative of o**3 + 9*o**2/2 + 6*o + 11. Suppose k(g) = 0. Calculate g.
-2, -1
Suppose -15*q + 40 = -10*q. Factor -q*g**3 - 10*g**3 - g**4 + 0*g**2 + g**2 + 17*g**3 + g.
-g*(g - 1)*(g + 1)**2
Factor -7/2 - 9/4*t - 1/4*t**2.
-(t + 2)*(t + 7)/4
Let h(l) be the second derivative of -l**5/10 + 2*l**4/3 + 11*l**3/3 + 6*l**2 + 10*l - 8. Suppose h(g) = 0. What is g?
-1, 6
Let p(c) = c + 1. Let i(o) = o**2 - 22*o + 22. Let r(j) = -i(j) - 6*p(j). Let v be r(14). Solve 0 - 6/11*h**3 + 4/11*h**2 + v*h = 0.
0, 2/3
Let a(j) be the second derivative of -1/15*j**4 - 2/105*j**7 + 0 + 0*j**3 - j + 0*j**2 - 2/25*j**6 - 3/25*j**5. Factor a(b).
-4*b**2*(b + 1)**3/5
Let m(a) be the first derivative of -a**9/3024 + a**7/420 - a**5/120 + 14*a**3/3 - 8. Let c(o) be the third derivative of m(o). Solve c(s) = 0 for s.
-1, 0, 1
Suppose -1 - 5/4*x - 1/4*x**2 = 0. Calculate x.
-4, -1
Let b = -893 + -295. Let j be 3/2 + b/(-24). Let 0*v - 2 + 49*v**2 - 4*v - j*v**2 = 0. Calculate v.
-1
Let t be (-1)/((-9)/(-2)) + 40/990. Let n = t - -19/44. Suppose 1/4 + 0*u - n*u**2 = 0. What is u?
-1, 1
Let y be (-126)/(-4)*(-4)/(-3). Find m such that -y + 11 - 5*m**2 + 50*m - 14 = 0.
1, 9
Let m be -4*(-4)/(-24)*-3. Let o be ((-4)/6)/((-1)/(m/4)). Suppose -2/3*x**3 + 0 + 1/3*x**4 + o*x**2 + 0*x = 0. Calculate x.
0, 1
Let c(m) be the third derivative of 0 - 4/3*m**3 + 1/6*m**6 + 2/35*m**7 - 5*m**2 + 0*m - 5/6*m**4 - 1/15*m**5. Find j such that c(j) = 0.
-1, -2/3, 1
Let w(j) = -j**3 - 17*j**2 + 7. Let o be w(-17). Let l = 10 - o. Factor 2*g - g**2 + g**3 - 1 + 5*g**2 - 3*g**2 - l*g.
(g - 1)*(g + 1)**2
Let b(q) be the second derivative of q**9/5040 - q**7/840 + q**4/6 + 7*q. Let y(w) be the third derivative of b(w). Factor y(a).
3*a**2*(a - 1)*(a + 1)
Let l(k) be the second derivative of 7*k**6/30 + 41*k**5/10 + 29*k**4/3 - 20*k**3/3 + 32*k. Determine z, given that l(z) = 0.
-10, -2, 0, 2/7
Suppose -376 = -4*u - 0*u. Factor -50*l**3 - 12*l**2 - 24*l**3 + u*l**3 - 8*l.
4*l*(l - 1)*(5*l + 2)
Factor -6/13*g**2 + 96/13 + 2/13*g**3 - 32/13*g.
2*(g - 4)*(g - 3)*(g + 4)/13
Find c such that -14*c**5 - 102*c**3 + 5*c**4 - 54*c**4 - 6*c**2 - 9*c**4 + 52*c**3 = 0.
-3, -1, -1/7, 0
Let a(r) be the first derivative of 25*r**3/3 + 295*r**2 - 240*r - 223. Factor a(v).
5*(v + 24)*(5*v - 2)
Let t = -9 + 12. Let y = t + 1. Factor 4*m**y + 12*m**3 - 8*m - 8 + 6*m**2 - 4*m**3 - 2*m**4.
2*(m - 1)*(m + 1)*(m + 2)**2
Let w(q) be the third derivative of q**7/3780 + q**6/450 + q**5/225 - 7*q**4/12 - 13*q**2. Let s(i) be the second derivative of w(i). Solve s(f) = 0 for f.
-2, -2/5
Let v(k) be the first derivative of -4/7*k**3 + 4/7*k**2 + 0*k - 7 + 1/7*k**4. Solve v(w) = 0.
0, 1, 2
Let l be (-23 + (-1 - -18))*2/(-4). Suppose -4*r**4 + 0*r + 4/3*r**5 + 0*r**l + 0*r**2 + 0 = 0. Calculate r.
0, 3
Let o(x) be the third derivative of -x**7/3150 + x**5/150 - 11*x**4/24 + 34*x**2. Let h(k) be the second derivative of o(k). Let h(i) = 0. What is i?
-1, 1
Let l(t) be the second derivative of -2/9*t**3 - 5*t + 0*t**2 - 11/18*t**4 + 0 - 7/45*t**6 - 8/15*t**5. Factor l(q).
-2*q*(q + 1)**2*(7*q + 2)/3
Factor 98 - 279*n**5 - 375*n + 30*n**4 + 460*n**2 + 12 - 230*n**3 + 284*n**5.
5*(n - 2)*(n - 1)**3*(n + 11)
Let h = -4 - -7. Let y = h + 1. Factor 4*s**2 - 6*s**5 - 2*s + 4*s**5 + y*s**5 - 4*s**4.
2*s*(s - 1)**3*(s + 1)
Let p(c) = 7*c**2 + c - 6. Suppose 4 = k - s, -3*s = 2 - 5. Let z be (50/5)/k - 5. Let b(t) = 6*t**2 + 2*t - 5. Let w(i) = z*p(i) + 4*b(i). Solve w(a) = 0.
-2, 1/3
Factor -171*s**3 + s + 24*s**2 + 12*s**4 - 2*s**5 + 7*s + 3*s**5 + s**5 + 197*s**3.
2*s*(s + 1)**2*(s + 2)**2
Let 0*t**2 + 19*t**3 - 15*t**2 + 3*t**5 - 13*t**3 + 15*t**4 - 9*t**2 = 0. Calculate t.
-4, -2, 0, 1
Let c(u) be the first derivative of 0*u**2 - 3 + 0*u + 1/15*u**3. Determine x so that c(x) = 0.
0
Let c(x) be the third derivative of x**7/84 - x**6/30 + x**5/120 + x**4/24 + 216*x**2. Solve c(f) = 0.
-2/5, 0, 1
Suppose 223 - 43 = 4*b. Factor 48 - 36 - 4*v**2 - b*v - 8*v**2.
-3*(v + 4)*(4*v - 1)
Let t(c) be the third derivative of -c**5/210 + 5*c**4/42 + 11*c**3/21 + 7*c**2 - 2. Factor t(l).
-2*(l - 11)*(l + 1)/7
Let g(z) be the third derivative of -1/24*z**6 - 2/5*z**5 + 0 + 25*z**2 + 0*z - 7/10*z**4 - 8/15*z**3. Suppose g(j) = 0. What is j?
-4, -2/5
Solve 0 + 84/17*y + 2/17*y**2 = 0.
-42, 0
Let b = -2/180053 + 180059/540159. Suppose -14/3 + 5/3*x + b*x**2 = 0. What is x?
-7, 2
Let x(j) be the first derivative of -j**7/98 - j**6/70 + 3*j**5/28 - 3*j**4/28 - 19*j + 6. Let s(g) be the first derivative of x(g). Find i such that s(i) = 0.
-3, 0, 1
Let s = -24 - -39. Suppose -o - 2*o + s = 0. Factor -5*w**3 - 410*w**5 + 15*w - 15*w**4 + 405*w**5 - 5*w**3 + o + 10*w**2.
-5*(w - 1)*(w + 1)**4
Let u = 84 - 82. Factor 4/7*a**3 + 0 - 4/7*a**u - 8/7*a.
4*a*(a - 2)*(a + 1)/7
Let z(j) = -j**4 + j**3 - j**2. Let s(f) = -6*f**4 + 13*f**3 - 21*f**2 - 10. Let b(r) = s(r) - 5*z(r). Let a(g) be the first derivative of b(g). Factor a(v).
-4*v*(v - 4)*(v - 2)
Find y such that 3/5*y**4 + 0*y + 2/5*y**2 + 7/5*y**3 + 0 = 0.
-2, -1/3, 0
Suppose -18 = -4*r - 2*i, -512*r + 510*r = 5*i - 29. Solve 0*g + 0 + 2/5*g**5 + 6/5*g**4 - 8/5*g**3 + 0*g**r = 0.
-4, 0, 1
Let s(z) = -7*z**2 + 7*z**3 - 10*z**3 - 9 + 14*z - z**2 + 4*z**3. Let k be s(6). Determine g so that 3/4*g**4 