y**4/28 + 2*y**3/21 + 15*y**2. Determine g so that n(g) = 0.
-2/7, 1
Let n be -4 - 2/(3 + (-69)/21). Factor 2*q + 5/4*q**2 + 1 + 1/4*q**n.
(q + 1)*(q + 2)**2/4
Let n be (-19532)/171 - (-1 - 1). Let q = -112 - n. Suppose q*v**4 + 4/9*v**3 - 2/9 + 0*v**2 - 4/9*v = 0. Calculate v.
-1, 1
Determine s, given that 0*s**3 + 2/3*s - s**2 + 1/3*s**4 + 0 = 0.
-2, 0, 1
Let x = 53 - 158/3. Find u such that 0 + x*u**3 + 2/3*u - u**2 = 0.
0, 1, 2
Let d be (-4 + 3)/((-1)/4). Solve 5*h**3 - h**5 + h**4 - d*h**3 - h**4 = 0 for h.
-1, 0, 1
Factor 18 - 102*r + 54*r**2 + 30*r + 9*r**2 - 15*r - 12*r**3.
-3*(r - 3)*(r - 2)*(4*r - 1)
Suppose 1100*i**4 - 5*i**2 - 5*i**5 - 1115*i**4 - 13*i**3 - 2*i**3 = 0. What is i?
-1, 0
Let d be (2/(-42))/(6/(-72)). Determine j, given that -2/7*j**2 - 2/7 + d*j = 0.
1
Let r be 4/(-10) + (-231)/(-560). Let o(z) be the second derivative of 0 + r*z**5 + 1/8*z**3 + 2*z + 1/8*z**2 + 1/16*z**4. Solve o(w) = 0 for w.
-1
Let j(r) = r**3 - 8*r**2 + 16*r - 5. Let z be j(5). Let t(f) be the second derivative of 0 - f - 1/10*f**3 + 1/20*f**4 + z*f**2. Factor t(w).
3*w*(w - 1)/5
Let o(z) be the second derivative of -z**7/189 - 4*z**6/135 - z**5/15 - 2*z**4/27 - z**3/27 + 5*z. Factor o(b).
-2*b*(b + 1)**4/9
Factor 6*x + 3/2*x**2 + 6.
3*(x + 2)**2/2
Let -2*o - 3/2*o**2 + 1/2*o**4 + 2 + o**3 = 0. Calculate o.
-2, 1
Let i(f) = -6*f**4 - 2*f**2 - 4. Let y = 11 - 8. Let t(q) = -5*q**4 - q**2 - 3. Let v(a) = y*i(a) - 4*t(a). Factor v(j).
2*j**2*(j - 1)*(j + 1)
Let k(t) be the first derivative of 1 + 0*t - t**2 + 0*t**4 + 0*t**3 - 1/120*t**5. Let s(n) be the second derivative of k(n). Let s(q) = 0. What is q?
0
Let j be (-6)/9 - (-3359)/21. Let a = -159 + j. Factor 10/7*r**2 + a*r**3 + 8/7 + 16/7*r.
2*(r + 1)*(r + 2)**2/7
Let a(n) = -5*n**2 + 7*n - 2. Let d(f) = -4*f**2 + 6*f - 2. Let c = 5 + -7. Let r = c - 0. Let t(k) = r*d(k) + 3*a(k). Solve t(s) = 0 for s.
2/7, 1
Let n be 18/22 - (-6)/33. Let l be 3*2*n/24. Factor -1/2 - l*b**2 - 3/4*b.
-(b + 1)*(b + 2)/4
Let r(p) be the second derivative of -p**6/120 - p**5/80 + p**4/16 + p**3/24 - p**2/4 + 3*p. Let r(j) = 0. Calculate j.
-2, -1, 1
Let l(h) be the first derivative of 7 - 1/15*h**5 - 1/3*h**3 + 1/6*h**2 + 1/4*h**4 + 0*h. Determine w, given that l(w) = 0.
0, 1
Let v be (-34)/(-16) + 11/(-88). Factor -6*d**3 - 5*d**v + 4*d**4 - 2*d**5 + 6*d**5 + 2*d**3 + d**2.
4*d**2*(d - 1)*(d + 1)**2
Let u be (-6)/4*(-4)/3. Let x be (-480)/(-90) - (4 + 1 + 0). Factor 3*k**u + 11/3*k**3 + 1/3*k - x + 4/3*k**4.
(k + 1)**3*(4*k - 1)/3
Let g(a) be the third derivative of 1/180*a**5 - 4*a**2 + 0*a**4 - 1/18*a**3 + 0*a + 0. Factor g(t).
(t - 1)*(t + 1)/3
Suppose -a - 5*s = -2, 0 = -5*s - 8 - 2. Suppose -7*x = -a*x. Find n, given that 2/3*n**3 + x + 4/3*n**2 + 2/3*n = 0.
-1, 0
Let v = 40/9 - 317/72. Let f(c) be the third derivative of 0*c + 2*c**2 - 1/480*c**6 + v*c**3 + 1/80*c**5 + 0 - 1/32*c**4. Determine s, given that f(s) = 0.
1
Let u(x) be the third derivative of -x**5/12 + 5*x**4/6 - 5*x**3/2 + 10*x**2. What is y in u(y) = 0?
1, 3
Let u(s) = 20*s**2 - 23*s - 14. Let w(m) be the third derivative of -7*m**5/60 + m**4/3 + 5*m**3/6 + 2*m**2. Let d(k) = 6*u(k) + 17*w(k). Factor d(o).
(o - 1)**2
Let b(s) be the second derivative of -s**8/10920 - s**7/2730 - s**6/2340 + 4*s**3/3 + 5*s. Let z(r) be the second derivative of b(r). Factor z(j).
-2*j**2*(j + 1)**2/13
Let i(o) be the second derivative of 1/10*o**5 + 0*o**3 + 0 + 5*o + 0*o**2 + 11/30*o**6 + 0*o**4 + 2/7*o**7. Let i(h) = 0. What is h?
-2/3, -1/4, 0
Let u(h) be the third derivative of -h**5/48 + 13*h**4/96 + h**3/4 - 4*h**2. Factor u(b).
-(b - 3)*(5*b + 2)/4
Let y(u) = -u**2 - 1. Let a(t) = 3*t**3 + 5*t**2 + 2. Let z = 17 - 19. Let p(h) = z*y(h) - a(h). Let p(s) = 0. Calculate s.
-1, 0
Let d(q) be the second derivative of -q**7/210 - 7*q**6/150 - q**5/10 + 3*q**4/10 + 9*q**3/10 - 27*q**2/10 + 28*q. Factor d(f).
-(f - 1)**2*(f + 3)**3/5
Suppose 32 = -4*y + 40. Factor 1/2*n**4 + y*n**3 + n + 5/2*n**2 + 0.
n*(n + 1)**2*(n + 2)/2
Let d(p) be the first derivative of 12*p**3 + 14*p**2 - 8*p - 23. Factor d(v).
4*(v + 1)*(9*v - 2)
Suppose 0 = 3*a - 11*a. Let p(v) be the second derivative of -1/27*v**3 + 2*v + a*v**2 + 0 - 1/189*v**7 + 0*v**6 + 1/45*v**5 + 0*v**4. Factor p(b).
-2*b*(b - 1)**2*(b + 1)**2/9
Factor 0*s**2 + 0 - 3/7*s**4 + 0*s**3 + 0*s.
-3*s**4/7
Let n(v) = 3*v**5 + 33*v**4 + 27*v**3 + 48*v**2 + 12*v - 9. Let w(f) = f**4 - f**3 - f - 1. Let t(r) = n(r) - 15*w(r). Factor t(b).
3*(b + 1)**4*(b + 2)
Let r(c) = 2*c - 2. Let q be r(2). Let t be (-2)/4*q/(-4). Determine a so that -3/4*a - t - 3/4*a**2 - 1/4*a**3 = 0.
-1
Factor -1/9*q**3 - 2/9 - 4/9*q**2 - 5/9*q.
-(q + 1)**2*(q + 2)/9
Let j = 8 - 6. Suppose f + 79 - j*f**2 - 3*f - 79 = 0. What is f?
-1, 0
Suppose 4*u - 29 - 22 = -3*t, -5*u + 5*t + 55 = 0. Let d be (-6)/u + 5/2. Let 3*p**d + 2*p**3 + p**2 - 6*p**2 = 0. What is p?
0, 1
Factor -1170*u**2 + 382/3*u**3 + 3726*u - 972 - 14/3*u**4.
-2*(u - 9)**3*(7*u - 2)/3
Solve 2 - g - 1/4*g**4 - 3/2*g**2 + 5/4*g**3 = 0 for g.
-1, 2
Let c(w) be the second derivative of 2*w**7/21 + 8*w**6/45 - w**5/15 - 2*w**4/9 + 7*w. Factor c(u).
4*u**2*(u + 1)**2*(3*u - 2)/3
Factor 0 + 1/5*t - 2/5*t**2 + 1/5*t**3.
t*(t - 1)**2/5
Suppose -3 = -2*l + n, l - 13 = -2*n + 1. Suppose 4 = 5*d + b - 11, 3*d + l = 2*b. Determine s so that 2*s - 7*s**3 - 5*s - 4 + 12*s**2 + d = 0.
-2/7, 1
Determine d, given that 2/3 + 4/3*d**3 + 3*d + 4*d**2 = 0.
-2, -1/2
Suppose -5*r = 4*g + 8, -9*g + 11 = -4*g + r. Suppose 4*w = 4*o, o + g*o = 0. Suppose -4/3*v**4 - 4/3*v**2 + w + 2*v**3 + 1/3*v**5 + 1/3*v = 0. Calculate v.
0, 1
Let u be 5*(1 + 2/(-5)). Determine s so that u*s**2 + 17 - 3*s - 17 = 0.
0, 1
Let h be 3 - ((-1 - 2) + (-252)/(-70)). Let t(v) be the first derivative of -1 + h*v**5 + 27/4*v**4 + 3/2*v**2 + 6*v**3 + 0*v. Factor t(m).
3*m*(m + 1)**2*(4*m + 1)
Let w be (-369)/(-75) + -1 + -4. Let v = w - -31/75. Determine b, given that -b**2 + 0*b**3 + 0 + v*b**4 + 2/3*b = 0.
-2, 0, 1
Let s = -10/13 - -59/26. Factor -s - 3/4*z + 3/4*z**2.
3*(z - 2)*(z + 1)/4
Suppose -28*u - 7*u = 0. Factor u + 1/2*v + 1/2*v**2.
v*(v + 1)/2
Let a(d) = -d**2 + 4*d + 7. Let p be a(5). Solve p*u**2 - 2 - 5*u**2 + u**3 + 1 + 3*u = 0 for u.
1
Let p(j) be the first derivative of -j**6/6 + 4*j**5/5 - 3*j**4/4 - 4*j**3/3 + 2*j**2 + 8. Factor p(h).
-h*(h - 2)**2*(h - 1)*(h + 1)
Let c(n) be the third derivative of 4/15*n**5 + 0*n - 1/3*n**4 + 0 + 3*n**2 + 1/6*n**3. Suppose c(q) = 0. What is q?
1/4
Determine h, given that -3/4*h**2 + 6 - 3/2*h = 0.
-4, 2
Let i be ((-5 - -2) + 4)*4. Factor -6*n**i + 15*n**4 + 3*n**2 + 9*n**3 + 14*n**5 - 11*n**5.
3*n**2*(n + 1)**3
Let n be (-2)/2*6/3. Let l be 36/20 + n/(-10). Determine w, given that -4*w**2 + 4*w**2 - w + 4*w**l = 0.
0, 1/4
Let q(o) be the third derivative of -o**6/200 - o**5/100 + o**4/40 + o**3/10 + 5*o**2. Factor q(m).
-3*(m - 1)*(m + 1)**2/5
Let a(p) be the third derivative of p**7/945 - p**6/135 + p**5/45 - p**4/27 + p**3/27 + 26*p**2. Let a(g) = 0. What is g?
1
Let k(x) = 2*x**2 - 2*x. Suppose -4*l + 4 = -28. Let q(d) = -5*d**2 + 6*d. Let j(g) = l*k(g) + 3*q(g). Factor j(m).
m*(m + 2)
Factor -z**3 - 10 + 10 + 2*z**3 - z**5.
-z**3*(z - 1)*(z + 1)
Factor 2/5*u**3 - 28/5*u**2 + 24*u - 144/5.
2*(u - 6)**2*(u - 2)/5
Let q(d) be the second derivative of -d**6/360 + d**4/24 - d**3/2 - d. Let k(c) be the second derivative of q(c). Factor k(w).
-(w - 1)*(w + 1)
Let u(k) be the second derivative of -k**6/45 + k**4/18 - 19*k. Let u(y) = 0. Calculate y.
-1, 0, 1
Let u(c) = -2*c**3 + 5*c**2 - 5*c + 5. Let n(l) = -l**2 + l - 1. Let b(h) = -5*n(h) - u(h). Factor b(f).
2*f**3
Let l be 3/(-72)*-26 + (-7)/(-28). Factor -l*j**3 + 4/3*j + 0*j**2 + 2/3*j**4 - 2/3.
2*(j - 1)**3*(j + 1)/3
Let h = -32 - -46. Let z = h - 10. Let 0 + 0*w**z + 2/3*w**3 - 1/3*w - 1/3*w**5 + 0*w**2 = 0. What is w?
-1, 0, 1
Let m = 63 - 377/6. Let y(i) be the first derivative of 2 + 0*i**2 + m*i**3 - 1/2*i. Determine g, given that y(g) = 0.
-1, 1
Suppose 0 = -3*h - 3, -5*v = -h + 2*h - 14. Suppose 2*o - 9*o**3 - 3*o + 12*o**v + 4*o + 6*o**2 = 0. Calculate o.
-1, 0
Let u(r) be the third derivative of r**5/300 + 4*r**4/15 + 128*r**3/15 + 49*r**2. Factor u(n).
(n + 16)**2/5
Let -g**3 + 6*g**2 - 1 - 3*g**2 + g - 2*g**2 = 0. 