*p**2 = 0 for p.
1/2, 1
Let p(g) be the first derivative of -2*g**5/35 + 19*g**4/28 - 16*g**3/7 + 11*g**2/14 + 20*g/7 - 138. Solve p(u) = 0 for u.
-1/2, 1, 4, 5
Factor 2*i**2 + 2*i**2 + 27*i + 784 + 51*i + 34*i.
4*(i + 14)**2
Let l(b) be the first derivative of 4*b**3/3 - 24*b**2 - 180*b + 65. Factor l(z).
4*(z - 15)*(z + 3)
Suppose 0 = 2*c - 6, 7*c = w + 2*c + 11. Suppose w*h - 13 = 7. Suppose 0*d**4 - 15*d**3 - 4*d + h*d**4 - d + 15*d**2 = 0. Calculate d.
0, 1
Let h(b) = 2*b**3 + b**2. Let k be h(2). Let i = k - 17. Factor 0 + 3/4*s**4 - 9/4*s**i + 3/2*s**2 + 0*s.
3*s**2*(s - 2)*(s - 1)/4
Determine i so that 14*i**4 + 17*i**4 + 11*i**3 - 5*i**5 - i**3 - 36*i**4 = 0.
-2, 0, 1
Let v(c) = 9*c**2 - c. Let g be v(1). Factor -g + 421*n**2 - 23*n - n - 431*n**2.
-2*(n + 2)*(5*n + 2)
Let d(j) = 3*j**2 - 2*j + 2. Let r(k) = 7*k**2 - 5*k + 5. Let f = 16 + -13. Let g be (-4)/2 + (0 - f). Let c(s) = g*d(s) + 2*r(s). What is l in c(l) = 0?
0
Let u(h) be the second derivative of 16/3*h**3 + 57*h - 1/5*h**5 - 7/3*h**4 + 0 + 0*h**2. Factor u(b).
-4*b*(b - 1)*(b + 8)
Let p(w) be the first derivative of 2*w**5/65 + 7*w**4/26 + 16*w**3/39 - 16*w**2/13 - 702. Factor p(d).
2*d*(d - 1)*(d + 4)**2/13
Let k(v) be the first derivative of -v**6/6 + 11*v**5/5 + 3*v**4/2 - 58*v**3/3 - 85*v**2/2 - 33*v + 322. Factor k(z).
-(z - 11)*(z - 3)*(z + 1)**3
Let k(j) be the second derivative of j**7/147 - 2*j**5/35 + j**4/21 + j**3/7 - 2*j**2/7 + 40*j - 1. Factor k(i).
2*(i - 1)**3*(i + 1)*(i + 2)/7
Factor -624/7*r**3 + 102400/7 + 23056/7*r**2 + 4/7*r**4 + 99840/7*r.
4*(r - 80)**2*(r + 2)**2/7
Let u(g) = g**2 - g + 1. Let h(z) = 10*z**2 - 77*z - 1078. Let y(d) = 2*h(d) - 22*u(d). Factor y(p).
-2*(p + 33)**2
Factor -10814*p**2 + 10913*p**2 + 5*p + 48*p**4 - 32*p - 120*p**3.
3*p*(p - 1)*(4*p - 3)**2
Let c be ((-32)/(-10))/(-102*(-13)/195). Let w(m) be the first derivative of 6/17*m**3 - 4 - 16/17*m**2 - c*m. Find t, given that w(t) = 0.
-2/9, 2
Let z be 3 - 6 - -4 - (9 + -8). Suppose 5*w = 4*i + 42, 0 = -3*w - 4*i + 9 - 3. Suppose -w + z*d + 3/2*d**2 = 0. Calculate d.
-2, 2
Let y(l) = -5*l**2 - 6*l + 7. Suppose -3*p + 8 = -4. Let b(q) = -q**2 - q + 1. Let g(m) = p*b(m) - y(m). Solve g(f) = 0.
-3, 1
Solve -55/4*n**2 - 35/4*n**3 + 45/4*n**4 + 5/2 + 35/4*n = 0.
-1, -2/9, 1
Let h(u) = -u**2 + u + 9. Let b(q) = -1 + 5 - 1 - 2. Suppose 3 = -5*y - 12. Let x(g) = y*h(g) + 21*b(g). Suppose x(d) = 0. Calculate d.
-1, 2
Let y(u) = 4*u**3 + 11 - 2*u**3 - 6*u**3 + 10*u + 4*u**2. Let h(k) = 7*k**3 - 7*k**2 - 20*k - 21. Let j(o) = 3*h(o) + 5*y(o). Determine q, given that j(q) = 0.
-2, -1, 4
Let p = 39 - 27. Let b be (-5)/12 - (-8)/p. Factor -b*t**2 + 0 + 1/2*t.
-t*(t - 2)/4
Let c(t) = 40*t**3 + 310*t**2 - 272*t + 26. Let w(n) = -n**3 - 3. Let l(j) = c(j) - 10*w(j). Solve l(m) = 0 for m.
-7, 2/5
Let y be 2 + 2 + 0*(1 - 0). Factor -6*v**2 - 2*v**3 - 16*v**y - 2*v**2 - 18*v**3 - 4*v**5.
-4*v**2*(v + 1)**2*(v + 2)
Let v = 13337/5555 + -1/1111. Let 0*g - v + 3/5*g**2 = 0. What is g?
-2, 2
Let r be 7/((-35)/33) + 7. Factor 0*b + 0*b**2 + 0 + 1/5*b**5 - r*b**3 + 1/5*b**4.
b**3*(b - 1)*(b + 2)/5
Factor -9*l**3 - 79*l**3 + 386 + 1056*l + 388*l**2 + 210 + 4*l**4 - 20.
4*(l - 12)**2*(l + 1)**2
Suppose 2*p + 2*k - 8 = 0, 4*p - 16 = 3*k + 2*k. Suppose p*w + 2 = r, 6 = 3*r - 2*w + 7*w. Suppose 7*v**r + 2*v**3 - v - 9*v**3 - 3*v**3 = 0. What is v?
0, 1/5, 1/2
Let k be (-6)/(0 - -3) + 11. Suppose 3*q - w - k = -q, -4*q + 13 = -5*w. Find x such that 1 + 3*x + q*x**2 + 2*x**2 + 1 - 3*x**2 = 0.
-2, -1
Let i(z) be the second derivative of -10*z + 1/48*z**4 + 5/12*z**3 + 25/8*z**2 + 0. Find p, given that i(p) = 0.
-5
Determine l so that -11*l**3 - 2*l**4 - 4*l**2 - 4*l + 3*l**4 + 12*l**3 = 0.
-2, -1, 0, 2
Solve 96*u**3 - 6*u**3 - 5*u**5 - 193*u**4 + 160*u**4 - 1372*u**2 + 138*u**4 - 26325*u - 30375 - 4838*u**2 = 0 for u.
-3, 15
Factor -40/7*l**3 - 2/7*l**4 - 236/7*l**2 - 360/7*l - 162/7.
-2*(l + 1)**2*(l + 9)**2/7
Let h(i) be the third derivative of 2*i**7/105 + i**6/15 - i**5/5 - 4*i**4/3 - 8*i**3/3 - 23*i**2. Determine p, given that h(p) = 0.
-2, -1, 2
Let i(t) be the second derivative of t**4/18 - 25*t**3/9 - 26*t**2/3 + 276*t. Factor i(h).
2*(h - 26)*(h + 1)/3
Let n(i) = -3*i**2 + 3*i + 8. Let w be n(-1). Suppose 2/5*f + 1/5*f**w + 1/5 = 0. Calculate f.
-1
Let h be (-8)/3 - 6/(-9). Let b be 3/(-6)*h - -6. Determine p, given that 2*p**3 + b*p**4 - 7*p**2 - p**4 + 3*p**2 = 0.
-1, 0, 2/3
Let r = -263 + 266. Let n(w) be the first derivative of 1/4*w**r - 2 + 0*w - 3/8*w**2. Let n(i) = 0. What is i?
0, 1
Let u(p) be the second derivative of 0*p**3 - 7/2*p**2 + 0 + 1/80*p**5 + 1/32*p**4 - 9*p. Let g(c) be the first derivative of u(c). Factor g(j).
3*j*(j + 1)/4
Let k(d) be the third derivative of -d**6/660 - 2*d**5/165 + d**4/12 - 2*d**3/11 - 264*d**2. Suppose k(n) = 0. What is n?
-6, 1
Solve -114/7 + 116/7*k - 2/7*k**2 = 0 for k.
1, 57
Let l(o) be the second derivative of -o**6/30 + 3*o**5/20 + 9*o**4/4 - 45*o**3/2 + 81*o**2 - 10*o - 5. Solve l(v) = 0 for v.
-6, 3
Suppose 4*u + 0*y + 2*y - 78 = 0, 2*y = u - 7. Let j(l) = 4*l - 68. Let z be j(u). Factor 3/4*n**2 + z*n - 1 + 1/4*n**3.
(n - 1)*(n + 2)**2/4
Let k(m) = m**2 + 20*m - 27. Let q be k(-21). Let d(b) = b**4. Let f(y) = -y**4 - 2*y**3 - 4*y**2. Let s(j) = q*d(j) - 2*f(j). Factor s(u).
-4*u**2*(u - 2)*(u + 1)
Let d(m) be the second derivative of 13/36*m**4 + 1/126*m**7 + 2/9*m**3 + 0*m**2 + 0 - 35*m + 1/4*m**5 + 7/90*m**6. Determine c, given that d(c) = 0.
-4, -1, 0
Let m(w) be the second derivative of 0*w**2 - 1/36*w**4 + 0 - 1/9*w**3 + 8*w. Solve m(u) = 0 for u.
-2, 0
Let m(g) be the first derivative of g**5/5 - 3*g**4 + 35*g**3/3 + 6*g**2 - 36*g + 138. Find y such that m(y) = 0.
-1, 1, 6
Suppose 5*h - 46 = -11. What is w in -2*w**3 - w**4 - 4*w**3 + h*w**3 - 2*w**2 - 4*w**3 = 0?
-2, -1, 0
What is c in 95*c**5 + 45*c**5 + 652*c**3 + 540*c**2 + 308*c**3 - 92*c**2 + 149*c - 85*c + 656*c**4 = 0?
-2, -2/5, -2/7, 0
Let m = -94 - -96. Let d(o) be the second derivative of 2/3*o**3 + 2/9*o**4 + 0*o**m + 0 - o - 1/15*o**5. Determine t, given that d(t) = 0.
-1, 0, 3
Determine t, given that -2*t**4 - 72*t**2 - 59*t**2 - 67*t**2 - 16*t**3 + 166*t**2 = 0.
-4, 0
Let a(i) be the first derivative of -4*i**5/5 - 31*i**4/20 + 3*i**3/5 + 126. Factor a(v).
-v**2*(4*v - 1)*(5*v + 9)/5
Suppose 0 = 2*d + 1 - 25. Let g be ((-4)/18)/((-4)/d). Solve 2/3 + g*j**2 + 4/3*j = 0 for j.
-1
Suppose -2*r = -54*v + 57*v + 4, 0 = -3*v - r + 1. Factor -3/4*o**v + 9/4*o - 3/2.
-3*(o - 2)*(o - 1)/4
Let q(x) be the second derivative of -2*x**7/21 - 2*x**6/3 - 9*x**5/5 - 7*x**4/3 - 4*x**3/3 - 2*x - 5. Factor q(p).
-4*p*(p + 1)**3*(p + 2)
Let r(z) be the third derivative of z**7/210 + 13*z**6/600 + 11*z**5/300 + z**4/40 + 2*z**2 + 33. Factor r(t).
t*(t + 1)**2*(5*t + 3)/5
Let s(x) be the first derivative of -1/4*x**3 - 3/8*x**2 - 5 - 1/4*x - 1/16*x**4. Factor s(u).
-(u + 1)**3/4
Let j(k) = -11*k**2 + 15*k + 19. Let b(u) = -u**2 - 1. Let v(h) = -3*b(h) - j(h). Let r(n) = 15*n**2 - 15*n - 15. Let x(y) = -2*r(y) + 3*v(y). Factor x(d).
3*(d - 2)*(4*d + 3)
Let a(v) be the second derivative of v**5/120 + v**4/32 + v**3/24 - 17*v**2/2 - 11*v. Let d(q) be the first derivative of a(q). Determine g so that d(g) = 0.
-1, -1/2
Let i be ((-63)/45 - -2) + 0/(-2). Let u(d) be the second derivative of -i*d**6 - 11*d + 0 + 5/2*d**5 + 2*d**2 - 7/2*d**4 + d**3. Factor u(v).
-2*(v - 1)**3*(9*v + 2)
Suppose 2*w - 30 = 2*h + w, -h - 33 = -5*w. Let m = h + 17. Determine z so that z**4 - m*z**4 - 7*z**3 + z**3 = 0.
-2, 0
Factor -3260/3*k**2 - 64/3*k**4 - 4600/3*k - 722/3*k**3 - 2000/3 - 2/3*k**5.
-2*(k + 1)**2*(k + 10)**3/3
Let z = 15 - 74/5. Let o = -119 - -598/5. Factor -o*n**3 - 2/5*n**2 + 0 + 0*n - z*n**4.
-n**2*(n + 1)*(n + 2)/5
Let y(z) be the third derivative of 1/102*z**5 - 2/51*z**4 + 0*z + 4/51*z**3 - 23*z**2 + 0 - 1/1020*z**6. Solve y(x) = 0 for x.
1, 2
Let f(i) be the third derivative of 7*i**6/270 + 338*i**5/135 + 688*i**4/9 + 256*i**3/3 + 51*i**2 + 2. Suppose f(r) = 0. Calculate r.
-24, -2/7
Suppose 10 = 6*y + 10. Let v(u) be the second derivative of 4/75*u**6 + 0*u**2 + 1/105*u**7 + y - 2*u + 2/15*u**4 + 3/25*u**5 + 1/15*u**3. Solve v(n) = 0.
-1, 0
Let c(o) = 2*o**2 - 269*o - 3514. Let j be c(-12). Suppo