. Determine g, given that 0 - 243/7*g**4 + o*g**3 + 12/7*g + 96/7*g**2 = 0.
-2/9, 0, 1
Let u(i) be the second derivative of 11*i - 102*i**3 + 205/4*i**4 - 111/10*i**5 + 0 + 9/10*i**6 + 54*i**2. Factor u(y).
3*(y - 3)**2*(y - 2)*(9*y - 2)
Let p(s) be the second derivative of 0*s**3 + 1/4*s**4 + 0 - 3/2*s**2 - 12*s. Solve p(l) = 0 for l.
-1, 1
Let k be 40/(-180) - 8/(-36). Let b(r) be the first derivative of 1 + k*r - 1/3*r**2 + 1/12*r**4 - 1/9*r**3. Factor b(f).
f*(f - 2)*(f + 1)/3
Let d be 6 + (0 - 6/(-1) - 10). Let v(a) be the first derivative of -2/5*a**d + 1/15*a**3 - 1 + 3/5*a. Factor v(p).
(p - 3)*(p - 1)/5
Let p(z) be the first derivative of -3*z**4/4 - 7*z**3 - 15*z**2 + 130. Suppose p(a) = 0. What is a?
-5, -2, 0
Let k = 4/15 - -272/105. Determine u, given that 2/7*u**2 - k*u + 50/7 = 0.
5
Let w(o) be the first derivative of -o**8/336 - o**7/84 - o**6/72 - o**3/3 + 12. Let t(v) be the third derivative of w(v). Suppose t(u) = 0. What is u?
-1, 0
Find h, given that 3/4*h + 1/2 - 1/2*h**2 = 0.
-1/2, 2
Let i(w) be the second derivative of 6*w + 0*w**3 - 1/6*w**4 + 0 + 11/2*w**2 - 1/15*w**5 - 1/120*w**6. Let g(q) be the first derivative of i(q). Factor g(n).
-n*(n + 2)**2
Let i(g) = -17*g**5 + 43*g**4 + 75*g**3 + g**2 - 22*g - 8. Let v(y) = -y**5 - y**4 - y**3 - y**2 - y - 1. Let o(q) = 5*i(q) - 40*v(q). Solve o(f) = 0 for f.
-1, -2/3, 0, 1/3, 7
Suppose -2*p + 18 + 4 = 0. Let f(v) = -7*v**2 - 7*v + 2. Let o(t) = -36*t**2 - 36*t + 11. Let h(k) = p*f(k) - 2*o(k). What is r in h(r) = 0?
-1, 0
Let w(d) be the first derivative of -1/6*d**3 + 1/12*d**6 - 2*d + 7/8*d**4 + 1/2*d**5 + 7 - 2*d**2. Let w(s) = 0. Calculate s.
-2, -1, 1
Let z(f) = f**2 + f + 1. Let w(x) = 2 - 2*x**2 + 10*x**2 + 1 + 58*x. Let g(o) = -w(o) + 3*z(o). Solve g(u) = 0 for u.
-11, 0
Suppose 0 = 4*g - 5*o - 16, -5*g - 4*o - 6 = 15. Let u be g - (14/(-91) + (-166)/104). Factor 3/2*i**2 - 2*i**4 - 7/4*i + 1/2 + u*i**5 + i**3.
(i - 1)**3*(i + 1)*(3*i - 2)/4
Let k(n) = n**2 + 2. Let b(y) = -2*y**2 + 4*y + 3. Let m(g) = -b(g) - k(g). What is i in m(i) = 0?
-1, 5
Suppose 72*a - 2*a - 630 = 0. Factor -27/2 + a*c - 3/2*c**2.
-3*(c - 3)**2/2
Let d(y) be the second derivative of y**6/6 + 3*y**5/2 - 35*y**4/12 - 475*y. Factor d(x).
5*x**2*(x - 1)*(x + 7)
Let l be 40/11 + (-1208)/(-3322). What is h in 0*h**3 + 0 + 1/3*h**l + 0*h - 1/3*h**2 = 0?
-1, 0, 1
Let f(d) be the first derivative of -d**6/9 + 4*d**5/15 + 5*d**4/6 - 20*d**3/9 - 4*d**2/3 + 16*d/3 + 22. Solve f(h) = 0 for h.
-2, -1, 1, 2
Let s(a) = a**2 - 4*a - 7. Let v be s(6). Suppose -13 + v = -4*l. What is y in -6*y**2 + 3*y**3 - 3*y + 6*y**l = 0?
-1, 0, 1
Suppose -2*t + 15 = 5*k, 2*t = -4*k + 11 + 1. Suppose 2*h - 10 = 0, -16 = v - 5*h - t. Factor 54*q**5 - 41*q**3 - 2*q - 7*q**2 - v*q**2 + 21*q**3 - 16*q**3.
2*q*(q - 1)*(3*q + 1)**3
Let z be (4/10)/((-238)/(-170))*(2 - 0). What is h in -2/7*h + 4/7*h**2 - z + 2/7*h**3 = 0?
-2, -1, 1
Let v = 815/188 + 184/47. Factor -21/4*t**3 - 12*t**2 - 3/2 - v*t.
-3*(t + 1)**2*(7*t + 2)/4
Let o = -329 - -333. Let l(t) be the first derivative of -o + 1/4*t**4 - 1/10*t**2 - 2/25*t**5 - 1/5*t**3 + 1/5*t. Suppose l(h) = 0. What is h?
-1/2, 1
Suppose 28*f - 280 = -168. Solve -10/3*o - 2/3 + 4/3*o**3 + 14/3*o**4 + 2*o**5 - f*o**2 = 0 for o.
-1, -1/3, 1
Let n(f) be the second derivative of f**5/130 - 2*f**4/39 + 5*f**3/39 - 2*f**2/13 - 41*f + 1. Factor n(v).
2*(v - 2)*(v - 1)**2/13
Let a(b) be the first derivative of 0*b**2 - 1/7*b**4 - 4/21*b**3 + 0*b + 11. Factor a(w).
-4*w**2*(w + 1)/7
Let d(k) = -66*k**4 + 11*k**3 + 53*k**2 + 3*k. Let u(t) = -4*t**4 + t**3 + t**2 + t. Let l(q) = -2*d(q) + 30*u(q). Find y, given that l(y) = 0.
-3, 0, 1/3, 2
Let l be 76/156 + -1*8/24. Find b such that -4/13*b**3 - 2/13*b**4 + 0 + 0*b - l*b**2 = 0.
-1, 0
Let c(r) = -6*r**2 - 8*r - 2. Let p(q) = 1 + 0*q + q + 0*q. Let g(b) = 3*b**2 - 24*b - 54. Let i be g(10). Let d(y) = i*p(y) - c(y). Factor d(a).
2*(a + 1)*(3*a + 4)
Let j be (14/(-7))/(-1) + 5. Let r(b) be the first derivative of 7/2*b**2 - 5/3*b**3 + j - 3*b + 1/4*b**4. What is w in r(w) = 0?
1, 3
Let u = -46 - -47. Let x(m) = m**3 + m**2 + m - 1. Let q(y) = 16*y**3 - 40*y**2 + 36*y + 12. Let s(a) = u*q(a) - 4*x(a). Factor s(v).
4*(v - 2)**2*(3*v + 1)
Let n(m) be the third derivative of -m**8/84 + 2*m**7/21 - 7*m**6/30 - m**5/15 + 4*m**4/3 - 8*m**3/3 - 73*m**2 - 2*m. Suppose n(b) = 0. What is b?
-1, 1, 2
Let j be (-14)/42 - (16/(-3) + 3). Let -1/3 - 1/3*t**5 - 2/3*t**j + t**4 + t - 2/3*t**3 = 0. What is t?
-1, 1
Let l(c) = 4*c**3 + 2*c**2 - 7*c. Let d(g) = 3*g**3 + g**2 - 6*g. Let x(k) = 5*d(k) - 4*l(k). Factor x(f).
-f*(f + 1)*(f + 2)
Let m = -10 - -20. Solve 25*j**2 - 24*j**2 + 9*j**4 - m*j**4 = 0 for j.
-1, 0, 1
Let q(g) be the third derivative of -g**6/420 - 7*g**5/30 - 5*g**4/3 - 92*g**3/21 + 503*g**2. Let q(i) = 0. What is i?
-46, -2, -1
Let k(a) be the second derivative of 2*a + 1/28*a**4 + 1/7*a**3 + 0 + 0*a**2. Factor k(t).
3*t*(t + 2)/7
Let u(n) be the first derivative of 3 + 115/2*n**2 - 10*n - 35*n**3. Solve u(k) = 0 for k.
2/21, 1
Let n(q) be the second derivative of 35*q + 0 + 1/3*q**3 + 7/36*q**4 - 1/6*q**2. Factor n(u).
(u + 1)*(7*u - 1)/3
Let a(z) = -z**2 + 2*z + 4. Let c(k) = k**2 - 7*k + 6. Let j be c(6). Let r be a(j). Factor -10*t**2 + 9*t**2 + 3*t**r + 9*t**2 + 3 + 12*t**3 + 10*t**2 + 12*t.
3*(t + 1)**4
Let g = -107/35 + 16/5. Factor -8/7*p + 1/7*p**2 - g*p**4 + 5/7*p**3 - 1/7*p**5 + 4/7.
-(p - 1)**3*(p + 2)**2/7
Let v(n) be the third derivative of 0*n + 0 + 2/5*n**5 - 2/3*n**4 + 1/105*n**7 + 37*n**2 - 1/10*n**6 + 0*n**3. Let v(d) = 0. What is d?
0, 2
Let x be (-5)/2*(-12)/10. Let a = 561/62 - 1621/186. Solve 0*w + 0 - 1/3*w**5 + 1/3*w**x + a*w**2 - 1/3*w**4 = 0 for w.
-1, 0, 1
Let c = -15912 + 15914. Factor 10/9*b - 8/3*b**c + 4/9.
-2*(3*b - 2)*(4*b + 1)/9
Let q(h) be the third derivative of -19*h**2 + 0*h + 0 - 1/4*h**5 - 5/8*h**4 + 1/12*h**6 + 5/3*h**3. Factor q(f).
5*(f - 2)*(f + 1)*(2*f - 1)
Factor -8/9*o - 4/9*o**2 + 32/9.
-4*(o - 2)*(o + 4)/9
Let m(u) = -3*u - 10. Let j be m(-4). Let 9*i + 3*i**3 + 6 - 15*i - 6*i**j + 3*i = 0. Calculate i.
-1, 1, 2
Let p(q) be the third derivative of -q**8/280 + 11*q**7/525 - q**6/60 - q**5/10 + 2*q**4/15 + 4*q**3/15 + 79*q**2. Determine z, given that p(z) = 0.
-1, -1/3, 1, 2
Let p(d) = -d**3 - 1. Let i(j) = -j. Let a(l) = 3*l**2 + 8*l + 6. Let c(b) = a(b) - i(b). Let h(f) = 5*c(f) + 20*p(f). Factor h(n).
-5*(n - 2)*(n + 1)*(4*n + 1)
Factor 312 + 216*x**2 - 944*x + 510*x**2 - 10*x**3 - 8*x**3.
-2*(x - 39)*(3*x - 2)**2
Suppose -5*k = -95*c + 91*c + 42, -3*c - 3*k = 9. Solve 44/3*w**c + 4/3*w + 8*w**2 + 0 + 8*w**4 = 0 for w.
-1, -1/2, -1/3, 0
Let o = -1 - -4. Solve -29*z**3 - 1 + o*z**4 - 2*z**4 + 2*z + 27*z**3 = 0.
-1, 1
Let k be (-16)/(-12)*-6*21/(-52). Let q = k + -158/65. What is h in 4/5*h**4 + 0*h**3 - 2/5*h**5 - q*h**2 + 0 + 2/5*h = 0?
-1, 0, 1
Suppose 0 = x + s - 5, -5 = -2*s + 5. Let z = 3869/15444 + -2/3861. Solve 0*b + x*b**2 + 0 - 1/4*b**3 + z*b**4 = 0.
0, 1
Let o be (75/(-200))/(1 - (-11)/(-12)). Let u = o + 41/6. Factor -2/3*v + 0 + 5/3*v**2 + u*v**3.
v*(v + 1)*(7*v - 2)/3
Let v(d) = -d**3 - 5*d**2 + d - 4. Let k be v(-5). Let c be (k - (-1 - -17)/(-4))*-1. Solve -3/2*f + f**2 - 3/2*f**4 + f**3 + 1/2 + 1/2*f**c = 0.
-1, 1
Let m(o) be the first derivative of 0*o + 1/2*o**2 - 1/300*o**5 - 1/600*o**6 + 3 + 0*o**4 + 0*o**3. Let s(i) be the second derivative of m(i). Solve s(c) = 0.
-1, 0
Let r(h) be the first derivative of -h**5/40 + h**3/12 - h/8 - 107. Factor r(w).
-(w - 1)**2*(w + 1)**2/8
Let c(m) = -m + 12. Let v be c(8). Let x be -1 + v - 24/10. Solve 3/5*k + x*k**2 + 0 = 0 for k.
-1, 0
Let u(f) be the second derivative of 0 - 9*f + 0*f**4 - 1/10*f**5 - 1/15*f**6 + 0*f**3 + 0*f**2. Find v such that u(v) = 0.
-1, 0
Let s(x) be the third derivative of x**5/12 - 5*x**4/2 + 45*x**3/2 + x**2 + 9*x. Find q, given that s(q) = 0.
3, 9
Suppose -1 = -3*y - k, -14 = -5*y + k + 1. Factor -1/5*w**y - 7/5 - 8/5*w.
-(w + 1)*(w + 7)/5
Let p(m) be the third derivative of -m**5/150 + m**4/4 + 16*m**3/15 + 102*m**2. What is d in p(d) = 0?
-1, 16
Let w(j) be the second derivative of -j**9/15120 + j**8/3360 - j**7/2520 + 13*j**4/12 + j. Let h(c) be the third derivative of w(c). Solve h(m) = 0.
0, 1
Suppose 