ive of -a**6/15 + a**5/10 + 11*a**4/3 + 44*a**3/3 + 24*a**2 + 223*a - 2. Let t(q) = 0. Calculate q.
-2, -1, 6
Let p(z) be the second derivative of z**7/42 + 11*z**6/30 + 19*z**5/20 - 43*z**4/12 - 10*z**3/3 + 16*z**2 - 9*z + 2. Find o such that p(o) = 0.
-8, -4, -1, 1
Let a(y) be the third derivative of y**5/20 + 69*y**4/4 + 4761*y**3/2 + 1005*y**2. Find h, given that a(h) = 0.
-69
Let c be -1 + 1 + -18 + 11 + 130/14. Factor -12/7*n**3 + 0 - 2/7*n**5 + 10/7*n**4 + c*n - 8/7*n**2.
-2*n*(n - 2)**3*(n + 1)/7
Find n such that -2*n - 2/3*n**2 + 12 = 0.
-6, 3
Let h(g) be the third derivative of -g**5/30 - g**4/28 - 143*g**2 + 1. Find o such that h(o) = 0.
-3/7, 0
Factor 25*u**2 + 0*u**2 + 22*u - 13*u + 46*u.
5*u*(5*u + 11)
Let r(b) be the second derivative of b**8/112 + b**7/70 + 5*b**2/2 - 12*b. Let w(q) be the first derivative of r(q). Find v, given that w(v) = 0.
-1, 0
Solve -24*u**2 - 8*u + 6 + 34*u**4 - 28*u**4 - 4*u**2 - 8*u**3 = 0 for u.
-1, 1/3, 3
Let q = 4865 - 4862. Find l, given that 0 + 1/2*l**4 + 0*l + 1/2*l**q + 0*l**2 = 0.
-1, 0
Let d(m) be the second derivative of 0*m**4 - 4/21*m**3 + 7/2*m**2 + 0 + 1/420*m**6 + 1/70*m**5 - 6*m. Let j(o) be the first derivative of d(o). Factor j(f).
2*(f - 1)*(f + 2)**2/7
Let c be (-14)/(-12) + (-8)/(-48)*5. Factor 3/4*t**c - 9/4 + 3/2*t.
3*(t - 1)*(t + 3)/4
Let z(m) = 16*m**4 - 12*m**3 - 20*m**2 - 12*m + 52. Let n(t) = t**4 - t**3 - t**2 - t + 4. Let y(c) = 12*n(c) - z(c). Determine w, given that y(w) = 0.
-1, 1
Determine k, given that 2/3*k**3 - 28/3*k**2 + 2/3*k**5 - 40/3*k + 8/3*k**4 - 16/3 = 0.
-2, -1, 2
Let q(l) be the second derivative of -l**6/10 + 9*l**5/20 + 9*l**4/4 - 23*l**3/2 + 18*l**2 - 293*l. Factor q(n).
-3*(n - 4)*(n - 1)**2*(n + 3)
Let d(c) = -c**2 - 12*c - 29. Let n be d(-8). Let x = 2 + 3. Factor -20*z**5 - 4*z - 7*z**2 + 18*z**2 + 96*z**4 - 16*z**x - 88*z**n + 21*z**2.
-4*z*(z - 1)**2*(3*z - 1)**2
Let r be ((-8)/6)/(8/(-12)). Suppose -2 = -u, r*f = -0*f + 4*u - 4. Factor 4*v**f - 7 + 15 - 2 + 10 + 16*v.
4*(v + 2)**2
Let j(y) = y**4 - y**3 - y**2 + 1. Let a(z) = 4*z**4 + 6*z**3 + 27*z**2 + 44*z + 27. Let g(k) = -5*a(k) + 15*j(k). Factor g(b).
-5*(b + 2)**3*(b + 3)
Let t(c) be the third derivative of 0*c - 28*c**2 - 3/40*c**6 - 4/5*c**5 + 0 - 5/8*c**4 + 0*c**3. Let t(i) = 0. What is i?
-5, -1/3, 0
Suppose 331*j - 14 = 324*j. Suppose -2 = -k + 3. Solve 0*i**j + 3/4*i**3 + 0 - 3/4*i**k + 0*i + 0*i**4 = 0 for i.
-1, 0, 1
Suppose -5*u = -3*u - 40. Suppose u = -4*v - 4*m + 64, -m = -v + 5. Find y such that 0*y + 2 + 3*y**2 + 3*y - v = 0.
-2, 1
Let u(t) = -4*t**4 + 15*t**3 + 23*t**2 - 32*t. Let f(k) = 2*k**4 - 7*k**3 - 11*k**2 + 16*k. Let x(m) = 7*f(m) + 3*u(m). Find r such that x(r) = 0.
-2, 0, 2
Let j(s) be the third derivative of -s**6/1140 - s**5/57 - 25*s**4/228 + 121*s**2. Factor j(g).
-2*g*(g + 5)**2/19
Let w(q) be the third derivative of q**8/10080 - q**7/945 + q**6/270 + 17*q**4/24 - 37*q**2. Let t(u) be the second derivative of w(u). Factor t(m).
2*m*(m - 2)**2/3
Let k(z) = z**2 + z. Let t(h) = -1. Let m(y) = 6*y**2 + 7*y + 3. Let v(l) = -m(l) - 2*t(l). Let o(g) = -15*k(g) - 3*v(g). Find x such that o(x) = 0.
-1
Let g(o) be the second derivative of 0 - 30*o + 1/6*o**6 + 32/3*o**3 - 1/84*o**7 - 4/3*o**4 - 3/5*o**5 + 0*o**2. Suppose g(r) = 0. What is r?
-2, 0, 4
Suppose 124 = -2*f + 4*c, -3*f - c = 2*f + 354. Let s be 168/f*(-10)/1. Solve x**2 - s*x**3 + 11*x**3 + 10*x + x**2 + 6 + 11*x**3 = 0 for x.
-1, 3
Let u(m) be the third derivative of -m**5/240 + 25*m**4/96 - 23*m**3/12 - 361*m**2. What is l in u(l) = 0?
2, 23
Suppose 2*h + 144 = -4*h. Let j = 27 + h. Factor -c**4 - 11 - 32*c - 10*c**j + 2*c**3 - 31*c**2 - 5 + 7*c**2.
-(c + 2)**4
Factor 127*n**2 + 110*n**2 - 343*n**2 - 12*n + 144*n**2 + 14*n**3.
2*n*(n + 3)*(7*n - 2)
Let s(o) be the first derivative of -o**6/2160 + o**5/180 + 25*o**3/3 - 28. Let f(u) be the third derivative of s(u). Solve f(j) = 0.
0, 4
Let b(h) be the second derivative of -h**7/84 + h**5/8 + 5*h**4/24 + 4*h**2 + 6*h. Let y(x) be the first derivative of b(x). Solve y(p) = 0.
-1, 0, 2
Let a(h) = h**3 - h**2 + h - 1. Let c(j) = 18*j - 6. Let o(i) = i**3 + i**2 - i + 1. Let d(m) = c(m) + 6*o(m). Let w(g) = -3*a(g) + d(g). Factor w(x).
3*(x + 1)**3
Suppose 2*l - 2 = 0, -2*b = -3*l + 2 - 27. Let r be -6*(6/b - 238/441). Let 0 + 2*h**2 - r*h**3 - 4/3*h = 0. Calculate h.
0, 1, 2
Suppose 83*t + 7*t - 360 = 0. Let 5/3*w**3 - 5/3*w + 2/3 + 0*w**2 - 2/3*w**t = 0. What is w?
-1, 1/2, 1, 2
Let t be (-194)/22 + -2*6/66. Let y(z) = -6*z**2 + 3*z + 9. Let c(d) = -3*d**2 + 2*d + 4. Let v(p) = t*c(p) + 4*y(p). Factor v(n).
3*n*(n - 2)
Let t(d) be the third derivative of 0 + 0*d**3 + 0*d - 1/12*d**5 - 25/24*d**4 + 27*d**2. Factor t(a).
-5*a*(a + 5)
Let r(x) be the first derivative of -3/2*x**2 - 1/7*x**3 - 8 - 18/7*x. Determine m, given that r(m) = 0.
-6, -1
Let f(q) be the third derivative of 7/72*q**4 + 1/120*q**6 + 1/9*q**3 + 0*q + 0 + 2/45*q**5 - 8*q**2. Solve f(i) = 0 for i.
-1, -2/3
Suppose 62 + 322 = 8*y. Find v such that -10 - 15 + 30*v - y - 2 - 3*v**2 = 0.
5
Suppose -3 = -0*p + 3*p. Let i = p + 5. Factor 2 + 1 + 2*w**i + w**4 - 6*w**2.
3*(w - 1)**2*(w + 1)**2
What is u in 4*u**5 - 562*u**3 + 578*u**3 + 0*u**5 - 144*u**2 + 36*u**4 - 128*u = 0?
-8, -2, -1, 0, 2
Suppose -6*a + 2*a + 8 = 0. Suppose -4*m + 16 = a*f, 0*f = -2*m + 3*f - 8. Determine g so that -6*g - 3*g**2 - 7*g**m + 5*g**2 + 2*g**2 = 0.
-2, 0
Let r(c) be the first derivative of -196*c**3 + 21*c**2 - 3*c/4 - 317. Factor r(b).
-3*(28*b - 1)**2/4
Let w(d) = -d**2 + 6*d + 91. Let m be w(13). Let b(q) be the second derivative of -q + 0*q**2 + 1/2*q**4 + 3/20*q**5 + 0 + m*q**3. Determine i so that b(i) = 0.
-2, 0
Determine j so that -2112*j**2 - 90*j**3 - j**4 - 1260*j - 2446*j - 166*j = 0.
-44, -2, 0
Suppose 2*h**4 + 2*h**3 + 0*h + 0*h**2 + 0 + 1/2*h**5 = 0. Calculate h.
-2, 0
Suppose 16 + 4 = 4*b. Suppose -b*w = 27 - 12. Let f(c) = -18*c**2 + 12*c + 9. Let z(p) = -37*p**2 + 25*p + 19. Let j(h) = w*z(h) + 7*f(h). Solve j(x) = 0 for x.
-2/5, 1
Let i(a) be the third derivative of 0*a + 0 - 1/20*a**6 + 11/20*a**5 - 21*a**2 - 9/2*a**3 - 3/2*a**4. Let i(k) = 0. Calculate k.
-1/2, 3
Let j(y) be the first derivative of 33 + 15/2*y**2 - 5/3*y**3 + 0*y. Factor j(n).
-5*n*(n - 3)
Let v be (2/(-7))/(6/(-14)). Let p be 6/2 - (-21 + -5)/(-26). Factor -4/3*x - v*x**p - 2/3.
-2*(x + 1)**2/3
Let m(g) be the second derivative of 21*g - 19/90*g**5 + 7/54*g**4 + 4/135*g**6 + 0 + 13/9*g**3 + g**2. Suppose m(p) = 0. Calculate p.
-1, -1/4, 3
Let n(d) be the first derivative of -d**3/7 - 243*d**2/7 - 19683*d/7 - 30. Find a, given that n(a) = 0.
-81
Let r(i) = i**2 + 4*i. Let x be r(-8). Let u = x - 16. Suppose 2 + 2*v**4 + 6 + 12*v**3 + 8*v + 26*v**2 + u*v = 0. What is v?
-2, -1
Let z(o) be the first derivative of -o**4/40 - 49*o**3/30 + 52*o**2/5 - 106*o/5 - 658. Find d such that z(d) = 0.
-53, 2
Let u(h) be the first derivative of h**6/21 + 4*h**5/35 - h**4/7 - 8*h**3/21 + h**2/7 + 4*h/7 - 28. What is p in u(p) = 0?
-2, -1, 1
Let a = 114 - 114. Let t(d) be the first derivative of -3/8*d**4 + 1/3*d**3 + 0*d**2 - 2 + a*d + 1/10*d**5. Factor t(l).
l**2*(l - 2)*(l - 1)/2
Let x = 2522 + -5041/2. Solve -x*o**2 + 6 + 9/2*o = 0 for o.
-1, 4
Suppose 0 = -24*m + 20 + 148. Let d(n) be the first derivative of -m - 12/5*n - 1/5*n**3 + 6/5*n**2. Suppose d(y) = 0. Calculate y.
2
Let t(f) = -8*f**3 - 41*f**2 - 144*f - 97. Let s(j) = j**3 - 2*j**2 - 2*j - 1. Let m(g) = 28*s(g) + 4*t(g). Determine c, given that m(c) = 0.
-52, -2, -1
Determine s so that -151*s**3 + 216*s**3 - 120*s + 53*s**2 + 22*s**2 - 20 = 0.
-2, -2/13, 1
Let h = -79/24 + 19/6. Let a = 3/8 - h. Let 1/2 - a*k**2 + 0*k = 0. What is k?
-1, 1
Let v = 100 + -109. Let u be (-2 + v/(-4))/((-1)/(-11)). Factor 0*x + 0 - 1/2*x**2 - u*x**3.
-x**2*(11*x + 2)/4
Let r(k) be the second derivative of k**6/40 - 243*k**5/80 + 2187*k**4/16 - 19683*k**3/8 + 2*k - 9. Let r(t) = 0. Calculate t.
0, 27
Let c(d) = d**3 + 4*d**2 - 6*d + 2. Let r be c(-5). Factor -2*l**3 - r*l**2 + 2 + 1 + 3*l**4 - 2*l - 3.
l*(l - 2)*(l + 1)*(3*l + 1)
Let f(d) be the first derivative of 2*d**6/105 + 2*d**5/35 - 4*d**3/21 - 2*d**2/7 - 13*d - 7. Let y(n) be the first derivative of f(n). Factor y(j).
4*(j - 1)*(j + 1)**3/