 + 28*u + 588.
(u + 42)**2/3
Solve 88/7*g**2 + 132/7*g**3 + 74/7*g**4 + 16/7*g + 2*g**5 + 0 = 0 for g.
-2, -1, -2/7, 0
Let a(u) = -u**3 + 21*u**2 - 41*u + 59. Let w be a(19). Suppose 16/9*p**4 + 0*p - 2/9 + 22/9*p**w + 4*p**3 = 0. Calculate p.
-1, -1/2, 1/4
Let i(g) be the second derivative of -g**5/30 + 17*g**4/18 - 80*g**3/9 + 64*g**2/3 - 191*g. Determine u so that i(u) = 0.
1, 8
Suppose x = 0, -5*i - x - 10 = -3*x. Let r be i - (-4)/(-1)*-1. Let 2*c**2 + 2*c + r + c + c = 0. What is c?
-1
Let c(s) = 2*s**2 + 11*s - 38. Suppose 2*i + 5*u = 4*i + 36, 32 = -3*i + 2*u. Let k be c(i). Factor -8/7*p**3 - 2*p**k + 4/7*p + 0.
-2*p*(p + 2)*(4*p - 1)/7
Suppose -3*h - 3*b + 153 = 0, -3*b - 102 = -2*h - 0*b. Let x be 4/3 + 34/h. Factor 6/5 - 9/5*w + 0*w**x + 3/5*w**3.
3*(w - 1)**2*(w + 2)/5
Factor 32/7*a - 50/7*a**3 - 8/7 - 10/7*a**2.
-2*(a + 1)*(5*a - 2)**2/7
Let z(s) = -3*s**2 - 12*s + 7. Let o(g) = g**2 + g. Let x(y) = -12*o(y) - 3*z(y). Factor x(q).
-3*(q - 7)*(q - 1)
Factor -1/6*i**2 - 1 + 7/6*i.
-(i - 6)*(i - 1)/6
Let g(r) be the second derivative of r**8/47040 - r**7/2940 + r**6/420 - r**5/105 + 2*r**4/3 - r. Let v(j) be the third derivative of g(j). Factor v(k).
(k - 2)**3/7
Suppose -7*c = -112 - 98. Let a be c/(-45)*9/(-2). Factor -25*b**a + 27*b**3 + b**4 - 2*b**2 - 2*b + b**4.
2*b*(b - 1)*(b + 1)**2
Suppose -5*r + 153 = 4*o, -o + 6 = -3*o. Let u = r - 24. Factor -y**2 - 24 + 5*y + 0*y**2 + u + 11.
-(y - 4)*(y - 1)
Suppose f = -5*d + 15, 3*d - 2216*f + 2221*f = -13. Factor 1372/3*c**5 - 672*c**3 - 640/3*c**2 + 0 - 64/3*c - 1568/3*c**d.
4*c*(c - 2)*(7*c + 2)**3/3
Let o(t) be the second derivative of -35*t**7/6 - 133*t**6/3 - 106*t**5 - 100*t**4/3 + 440*t**3/3 - 80*t**2 - 7*t + 2. Factor o(u).
-5*(u + 2)**3*(7*u - 2)**2
Suppose -6*p = v + 2*v - 372, -236 = -4*p + v. Factor -p*u**4 - 15/2*u + 75/2*u**3 - 3/2 + 15/2*u**2 + 24*u**5.
3*(u - 1)**3*(4*u + 1)**2/2
Let v = -3147 + 9217/3. Let a = 75 + v. Solve 0*c + a*c**3 + 0 + c**2 = 0 for c.
-3, 0
Let f(u) be the first derivative of u**7/105 + u**6/360 - u**5/15 - u**4/24 + 19*u**3/3 - 27. Let t(r) be the third derivative of f(r). What is k in t(k) = 0?
-1, -1/8, 1
Let k(v) be the first derivative of 25*v**6/2 - 4*v**5 - 345*v**4/4 + 70*v**3/3 + 90*v**2 + 40*v - 907. Let k(m) = 0. What is m?
-2, -2/5, -1/3, 1, 2
Suppose 48 = m + 5*z, -3*z = 2*z. Factor -d - 49*d**2 + m*d**2 - d.
-d*(d + 2)
Let a(d) be the first derivative of 22 - 3/2*d**2 + 4*d**3 + 0*d. Factor a(o).
3*o*(4*o - 1)
Let p(l) = 4*l**3 + 16*l**2 + 3. Let g be p(-4). Let a(c) be the second derivative of c**g - 9*c - 1/12*c**4 + 0 - 9/2*c**2. Solve a(h) = 0 for h.
3
Factor 315*r - 630*r - 4*r**5 - 8*r**2 + 4*r**4 + 4 + 311*r + 8*r**3.
-4*(r - 1)**3*(r + 1)**2
Let s(k) be the second derivative of 11*k + 3 + 0*k**2 + 1/40*k**5 - 1/9*k**3 - 1/180*k**6 + 0*k**4. Factor s(z).
-z*(z - 2)**2*(z + 1)/6
Let k(x) be the second derivative of 2*x + 0*x**2 + 0 - x**5 + 0*x**3 + 2/15*x**6 + 2/21*x**7 + x**4. Find u such that k(u) = 0.
-3, 0, 1
Let q(m) be the second derivative of -3*m**4/16 + 41*m**3/8 - 39*m**2/4 - 185*m. Factor q(c).
-3*(c - 13)*(3*c - 2)/4
Let w(p) be the first derivative of 20/3*p**3 + 21 + p**4 + 16*p**2 + 16*p. Factor w(v).
4*(v + 1)*(v + 2)**2
Suppose 4*j = -7*a + 54, -43 = -3*j - 5*a - 4. Factor 16/3 - 116/3*q**2 - 104/3*q - 10*q**j.
-2*(q + 2)**2*(15*q - 2)/3
Let x(k) be the first derivative of -21*k**3 + 3*k**5 + 21/4*k**4 - 3/2*k**6 - 4 - 12*k + 24*k**2. Find m, given that x(m) = 0.
-2, 2/3, 1
Let b(z) be the second derivative of z**6/30 + 7*z**5/10 + 5*z**4 + 12*z**3 + 743*z. Suppose b(w) = 0. Calculate w.
-6, -2, 0
Let o(b) be the first derivative of -2*b**3/3 - 5*b**2 + 28*b - 110. Factor o(u).
-2*(u - 2)*(u + 7)
Let k(q) = q**4 - q**3 + q**2 - q. Let p(l) = -10*l**2 - 712*l + 699*l - 30*l**3 + 3*l**2. Let w(j) = -18*k(j) + 2*p(j). Factor w(f).
-2*f*(f + 1)*(3*f + 2)**2
Let p(n) = -4*n - 184. Let g be p(-46). Let a(d) be the third derivative of g*d + 0 + 1/150*d**5 - 1/60*d**4 - 2/15*d**3 - 5*d**2. Factor a(y).
2*(y - 2)*(y + 1)/5
Let p be ((-8)/3)/(-4) - 0. Let j be (2 + 3/3)/((-3)/(-4)). Solve -2/3*s**5 + p*s**2 + 0*s + 0 - 2/3*s**j + 2/3*s**3 = 0.
-1, 0, 1
Let f = 43 + -13. Let -19*i + f + 6*i - 5*i**2 - 12*i = 0. What is i?
-6, 1
Let k(x) be the first derivative of 0*x**2 - 1/30*x**4 + 0*x - 8/15*x**3 + 2/75*x**5 + 23. Let k(u) = 0. Calculate u.
-3, 0, 4
Suppose 2 = 423*j - 422*j. What is p in 3/4*p - 9/4*p**3 - 3/2 + 3*p**j = 0?
-2/3, 1
Let t(l) be the second derivative of -l**8/560 + 3*l**7/280 + l**6/24 - 3*l**5/40 + l**4/2 + 9*l. Let u(r) be the third derivative of t(r). Factor u(s).
-3*(s - 3)*(s + 1)*(4*s - 1)
Let r(p) be the first derivative of 2*p**3/57 + 21*p**2/19 - 293. Factor r(u).
2*u*(u + 21)/19
Let a be -5 + 114/135*6. Let k(i) be the second derivative of 0 + 0*i**2 - 5*i - a*i**3 - 3/20*i**4 - 7/100*i**5. Factor k(v).
-v*(v + 1)*(7*v + 2)/5
Let z be -3 - -5 - (-66 + -6). Find f such that -4*f**3 + z*f**4 - f**3 - 8*f**5 - 64*f**4 + 3*f**5 = 0.
0, 1
Let p = -180 - -180. Suppose p = -10*b + 50 - 10. Solve -c + 0 - 17/4*c**3 + 5/4*c**4 + b*c**2 = 0 for c.
0, 2/5, 1, 2
Let d(y) = 3*y - 14*y**2 - y**3 + 0*y**2 - 9 + 1 - 4*y. Let k be d(-14). Solve -5*h - 2*h**2 - k*h + 3*h - 1 - 7 = 0.
-2
Let q be (40/25*5)/2. Let m(l) be the first derivative of 1/6*l**2 + 2/9*l**3 - 2/15*l**5 + 0*l - 1/18*l**6 + 2 + 0*l**q. Solve m(w) = 0.
-1, 0, 1
Let j(y) be the first derivative of 3/4*y**4 - 3/2*y**2 + 0*y**3 + 0*y + 4. Solve j(b) = 0 for b.
-1, 0, 1
Let o(t) = -11*t + 6*t + 90 - 121. Let b be o(-7). Determine s, given that -2*s**b + 0 + 1/2*s + 1/2*s**5 - 2*s**2 + 3*s**3 = 0.
0, 1
Factor -19208 - 1/2*q**4 - 5488*q - 588*q**2 - 28*q**3.
-(q + 14)**4/2
Let s = -137 - -143. Let z(o) be the third derivative of 0*o - 1/18*o**3 + 0 + 1/72*o**4 - 2*o**2 - 1/360*o**s + 1/180*o**5. Determine p so that z(p) = 0.
-1, 1
Let v be 9/2*(-2)/(-3). Suppose -o**3 - o**4 + 0*o**4 + o**v + o**3 + 2*o**2 = 0. Calculate o.
-1, 0, 2
Let k(v) = -v**3 + 5*v**2 - 3*v - 1. Let o be k(4). Suppose 3*s + o*i - i = 4, 0 = -4*s + i + 9. Solve 2/11*p**s + 2/11 + 4/11*p = 0 for p.
-1
Let b be 1794/286 + (-3)/11. Let s(q) be the second derivative of -4/15*q**b + 0*q**3 - 2/5*q**5 + 0 + 0*q**2 + 0*q**4 - 1/21*q**7 - 9*q. Solve s(a) = 0 for a.
-2, 0
Let x(v) = -3*v**4 - 2*v**4 + 1 + 7*v**4 - 5 - 10*v**3 + 4*v**2. Let r(w) = 2*w**4 - 9*w**3 + 4*w**2 - 3. Let g(i) = 4*r(i) - 3*x(i). Factor g(j).
2*j**2*(j - 2)*(j - 1)
Suppose 0 = -5*b + 5, -4*z + 6*b = 2*b + 4. Let n(q) be the second derivative of 0 + 1/42*q**4 + 0*q**3 + z*q**2 - 1/70*q**5 - q. What is t in n(t) = 0?
0, 1
Let l be -6 - (-2598)/324 - 2. Let x(j) be the second derivative of l*j**4 - 1/90*j**5 - 6*j + 0*j**3 - 1/135*j**6 + 1/189*j**7 + 0 + 0*j**2. Factor x(n).
2*n**2*(n - 1)**2*(n + 1)/9
Suppose -3*c = 4*k - 1, 16*c - 17*c - 4*k - 5 = 0. Factor d**4 + 1/3*d**5 - 1/3 - d + 2/3*d**c - 2/3*d**2.
(d - 1)*(d + 1)**4/3
Suppose -c + 17 = 4*o - 0*o, 4*c = -o + 8. Suppose -2*p = -0*y - 4*y + 8, 5*p - o*y + 2 = 0. Factor 4*h + p*h - h + 18*h**2 - h.
2*h*(9*h + 2)
Let r = 12 - 9. Solve 5*l**r + 6*l**4 + 10*l**5 + 0*l**3 - 6*l**2 + 4*l - 19*l**3 = 0.
-1, 0, 2/5, 1
Solve b**3 + 76*b**2 + 77*b**2 + 4*b**3 + 86*b**2 - 234*b**2 = 0 for b.
-1, 0
Let l(i) = i**3 - 4*i**2 + 16*i - 62. Let a be l(4). What is f in 0 + 1/3*f**3 + 25/3*f - 10/3*f**a = 0?
0, 5
Suppose 2*a = 4*g - 14, -4*g = a + 16 - 15. Let p be -3 - ((-5 - (2 - 7)) + a). Find w, given that -6/5*w**3 + 1/5 + 3/5*w**5 - 2/5*w**p + 3/5*w + 1/5*w**4 = 0.
-1, -1/3, 1
Let l = 9892 + -9890. Solve 0 + 2/3*a**l + 2/3*a = 0 for a.
-1, 0
Let h be (0 + 8/(-10))*(-164)/770. Let c = h + 2/175. Factor -4/11*x**2 + c*x + 0 + 2/11*x**3.
2*x*(x - 1)**2/11
Let m(p) be the first derivative of -2*p**3/9 + 8*p**2/3 - 8*p - 86. Solve m(o) = 0.
2, 6
Let x(r) = 7*r**3 + 23*r**2 - 52*r + 37. Let i(h) = -11*h**3 - 34*h**2 + 77*h - 56. Let c(z) = -5*i(z) - 8*x(z). Factor c(p).
-(p - 1)**2*(p + 16)
Let b(o) be the second derivative of 5*o**4/12 - 50*o**3/3 + 250*o**2 - o - 72. Solve b(g) = 0 for g.
10
Factor -1/2*y + 1/4*y**2 + 0 + 1/4*y**3.
y*(y - 1)*(y + 2)/4
Let d(t) be the first derivative of 1/12*t**4 - 4*t + 1 - 1/2*t**2 + 0*t**3. Let c(i) be the first derivative of