3 - 20*p**j + 1 - 13*p**3 - 14*p**3 + 13*p = 0.
2/9, 1
Let y(r) = -2*r**3 - 2114*r**2 - 125326*r - 2464538. Let c(h) = h**3 + 705*h**2 + 41775*h + 821513. Let f(o) = 10*c(o) + 3*y(o). Factor f(s).
4*(s + 59)**3
Factor -44/3*j - 5/3*j**3 + 37/3*j**2 + 4.
-(j - 6)*(j - 1)*(5*j - 2)/3
Let p = 440 - 437. Let w(s) be the first derivative of 0*s**2 + 0*s**4 + 1/10*s**5 + 0*s + 0*s**p + 4 + 1/36*s**6. Determine l so that w(l) = 0.
-3, 0
Let r(t) be the first derivative of 2*t**3/9 - 5*t**2/3 - 89. Factor r(m).
2*m*(m - 5)/3
Let g = 505 - 228. Let a = g + -160. Factor -a*b**2 - 20*b + 47*b**2 + 62*b - 77*b**2 - 3.
-3*(7*b - 1)**2
Let b(s) be the second derivative of s**5/4 - 5*s**4/2 + 80*s**2 - 74*s. What is k in b(k) = 0?
-2, 4
Let r(n) be the second derivative of 8*n**6/225 - 31*n**5/150 + 2*n**4/9 + n**3/15 + 6*n. Determine p so that r(p) = 0.
-1/8, 0, 1, 3
Let q be (4/26 - -6) + -10 + 4. Solve 2/13*u**3 + q*u + 0 + 4/13*u**2 = 0 for u.
-1, 0
Find m such that -39*m**2 - 7 + 12*m**2 + m + 4 + 31*m**2 = 0.
-1, 3/4
Let p(m) be the second derivative of -m**8/336 - 5*m**7/168 - m**6/9 - m**5/6 - 13*m**3/6 - 6*m. Let r(t) be the second derivative of p(t). Factor r(g).
-5*g*(g + 1)*(g + 2)**2
Let a(p) = p**3 - 16*p**2 + 14*p - 1. Let o(u) = -2*u**2 + u - 1. Let q(b) = -a(b) + o(b). Find s, given that q(s) = 0.
0, 1, 13
Suppose 0 = -3*l + 6 - 0. Let x be (-3)/l*(-32)/24. Factor 3/2*j**2 + j**4 + 7/2*j**3 - x - 4*j.
(j - 1)*(j + 2)**2*(2*j + 1)/2
Suppose -905/4*h**2 - 1125 - 5/4*h**4 + 825*h + 55/2*h**3 = 0. What is h?
5, 6
Let k(t) be the second derivative of -t**4/30 - 59*t**3/15 - 58*t**2/5 + 40*t + 4. Factor k(i).
-2*(i + 1)*(i + 58)/5
Let x(d) be the first derivative of d**6/18 - 3*d**5/8 + 5*d**4/12 - d**3/3 - d - 15. Let t(l) be the third derivative of x(l). Let t(j) = 0. Calculate j.
1/4, 2
Let b(x) be the second derivative of -3/4*x**3 + 1/2*x**2 + 14*x + 0 - 7/20*x**5 - 1/84*x**7 + 2/3*x**4 + 1/10*x**6. Suppose b(g) = 0. Calculate g.
1, 2
Let u(a) be the second derivative of -5*a**4/16 + 79*a**3/16 + 3*a**2/2 - 163*a. Factor u(j).
-3*(j - 8)*(10*j + 1)/8
Let v(l) be the first derivative of 9 + 1/2*l + 3/8*l**2 + 1/12*l**3. Suppose v(u) = 0. What is u?
-2, -1
Let w(y) = -y**2 + 1. Suppose 7*a + 15 = 2*a, -3*a - 13 = -4*v. Let r(d) = 5*d**2 - 5. Let i(t) = v*r(t) + 2*w(t). Solve i(k) = 0 for k.
-1, 1
Let d(c) be the first derivative of -3*c**4/4 + 53*c**3 - 232. Factor d(y).
-3*y**2*(y - 53)
Let u = 50 - 37. Suppose -u*v + 3*v + 30 = 0. Factor -1/4*t**2 - 1/4*t**v + 0 + 0*t.
-t**2*(t + 1)/4
Factor -2/7*c**4 + 44/7*c**2 + 0 - 10/7*c**3 - 32/7*c.
-2*c*(c - 2)*(c - 1)*(c + 8)/7
Let g(d) be the first derivative of d**5/8 + 5*d**4/24 - 5*d**3/12 - 5*d**2/4 + 12*d + 17. Let q(p) be the first derivative of g(p). Factor q(t).
5*(t - 1)*(t + 1)**2/2
Let z(f) = -2*f**3 - f**2 + f + 2. Let i be z(-1). Suppose i*s - 5*x - 36 = -8, 5*s + 3*x = 8. What is a in 2/11*a**s + 0 - 2/11*a**3 - 4/11*a**2 + 0*a = 0?
-1, 0, 2
Let h be 3/(-7 + 5 - 1) - -3. Factor 0 - 3/2*i**3 - 3*i**h - 3/2*i.
-3*i*(i + 1)**2/2
Let -12/7*n**5 - 342/7*n**2 - 60/7*n**4 + 81/7*n + 393/7*n**3 + 0 = 0. Calculate n.
-9, 0, 1/2, 3
Suppose 4*j - 12 = 4*a, j + 10 = 3*j. Let v(y) be the second derivative of -3/50*y**5 + 0 - 4/15*y**3 + 1/3*y**4 - 5*y - 8/5*y**a. Solve v(q) = 0.
-2/3, 2
Factor -1/3*w**3 + 0 - 4/3*w - 4/3*w**2.
-w*(w + 2)**2/3
Suppose u + 5*f = 34, -8 + 0 = -2*f. Let b = u + -9. Find q such that -q**b - 8*q**2 + 20*q**3 - q**5 + 8*q**4 + 6*q - 24*q**3 = 0.
-1, 0, 1, 3
Let y(u) be the third derivative of 5*u**8/56 + 103*u**7/735 - u**6/42 - 4*u**5/105 - 4*u**2 + 4. Let y(s) = 0. What is s?
-1, -4/15, 0, 2/7
Suppose -31*s = -16*s - 16*s. Let j(b) be the third derivative of s + 5*b**2 + 0*b + 1/12*b**3 + 1/240*b**5 - 1/32*b**4. What is r in j(r) = 0?
1, 2
Let s be (6/(-30))/((3 - 0)/(-1641)). Let q = s - 109. Factor q*y**2 - 8/5*y + 8/5.
2*(y - 2)**2/5
Let s(n) be the first derivative of n**6/10 + 3*n**5/25 - 3*n**4/10 - 2*n**3/5 + 3*n**2/10 + 3*n/5 + 31. Factor s(l).
3*(l - 1)**2*(l + 1)**3/5
Let s be ((-20)/(-6) - -4) + -7. Let b(l) be the second derivative of -1/6*l**4 + 0*l**2 + 0 - 2*l + s*l**3. Determine v so that b(v) = 0.
0, 1
Let p = 1038 + -1036. Factor 1/3*y + 1/3*y**p - 2/3.
(y - 1)*(y + 2)/3
Let o(f) be the first derivative of 4*f**6/15 - 8*f**5/5 - f**4/2 + 13*f**3/3 - 4*f**2 - 6*f + 16. Let w(z) be the first derivative of o(z). Factor w(l).
2*(l - 4)*(l + 1)*(2*l - 1)**2
Let q(p) be the third derivative of p**5/690 - 221*p**4/138 + 48841*p**3/69 - 44*p**2 + 5. Suppose q(z) = 0. What is z?
221
Factor -5*y**4 + 9 - 24 + 30*y - 10 - 30*y**3 + 40*y**2 - 10.
-5*(y - 1)**2*(y + 1)*(y + 7)
Let o(d) be the first derivative of -3*d**5/35 + d**4/28 + d**3/7 - d**2/14 - 439. Factor o(j).
-j*(j - 1)*(j + 1)*(3*j - 1)/7
Let m be (-4)/(2 - 0)*(-4 + 5). Let s be (m + 1)/1 + 114/90. Factor -2/15*v + 2/15*v**3 - 4/15*v**2 + s.
2*(v - 2)*(v - 1)*(v + 1)/15
Let z(s) be the third derivative of 0*s - 8/15*s**5 - 16*s**2 - 2/105*s**7 + 0 + s**4 + 6*s**3 - 1/5*s**6. Determine l so that z(l) = 0.
-3, -1, 1
Factor 1134*u + 621*u**2 + 6*u**4 + 213/2*u**3 - 324.
3*(u + 6)**3*(4*u - 1)/2
Let d be 4*(-5)/(-8) + (-2 - 0). Let o(g) be the second derivative of 5*g + 0 - 1/36*g**4 + d*g**2 + 1/9*g**3. Determine j so that o(j) = 0.
-1, 3
Factor 0 + 1/6*k**3 - 1/2*k**2 + 1/3*k.
k*(k - 2)*(k - 1)/6
Suppose -2 = -7*o + 19. Solve s**2 + 9*s + 10*s**o + 9*s**2 - 6*s**5 - 13*s - 10*s**4 = 0.
-2, -1, 0, 1/3, 1
Let u(w) = w**3 + 62*w**2 + 60*w - 59. Let r be u(-61). Factor 0*y - 16/7 - 4/7*y**3 + 12/7*y**r.
-4*(y - 2)**2*(y + 1)/7
Let u(z) be the second derivative of z**8/20160 + z**7/1080 + z**6/270 - 2*z**5/45 + 7*z**4/4 + 24*z. Let r(w) be the third derivative of u(w). Factor r(p).
(p - 1)*(p + 4)**2/3
Let w(x) be the first derivative of 1/6*x**3 - 3/4*x**2 + 1/30*x**5 + 0*x + 13 + 5/24*x**4. Suppose w(g) = 0. Calculate g.
-3, 0, 1
Let r be (-4)/(-2) - ((-5)/1 - 0 - -7). Suppose -4/11*u**3 + 0*u**2 + r - 2/11*u**5 - 6/11*u**4 + 0*u = 0. Calculate u.
-2, -1, 0
Let h = -245 + 245. Let p(t) be the third derivative of 1/672*t**8 - 1/30*t**5 + h + 1/40*t**6 + 2*t**2 - 1/105*t**7 + 0*t + 1/48*t**4 + 0*t**3. Solve p(u) = 0.
0, 1
Let s(u) be the third derivative of u**5/15 - 3*u**4 + 34*u**3/3 - 91*u**2. What is m in s(m) = 0?
1, 17
What is s in -204/7*s + 2/7*s**2 + 5202/7 = 0?
51
Let -4/5 + 22/5*v - 4/5*v**4 - 44/5*v**3 + 8/5*v**2 + 22/5*v**5 = 0. Calculate v.
-1, 2/11, 1
Suppose -5*o = -7*o + 22. Let z = o - 4. Factor -3*a**4 - 24*a**3 - 6*a**2 - 2*a + z*a - a - 11*a**4.
-2*a*(a + 1)**2*(7*a - 2)
Let q(s) be the second derivative of 2*s + 1/180*s**6 - 2/9*s**3 - 1/12*s**4 + 0 - 3/2*s**2 + 0*s**5. Let d(y) be the first derivative of q(y). Factor d(o).
2*(o - 2)*(o + 1)**2/3
Factor -1637382*o - 5*o**4 - 2722261 + 7129882*o + 1300*o**3 - 126750*o**2 - 39735253 - 25180766 - 21614845.
-5*(o - 65)**4
Let k be 1/(-8) + 9 + 235/(-40). What is t in 12/5*t + 18/5 - 12/5*t**k - 2/5*t**4 - 16/5*t**2 = 0?
-3, -1, 1
Suppose -4*o + 5 = -5*x, 4*o = 7*o - 5*x - 5. Suppose o - 1/2*d - 1/2*d**3 + d**2 = 0. Calculate d.
0, 1
Find z, given that 0 - 224/3*z**2 - 5*z**5 + 104/3*z**4 - 64/3*z - 116/3*z**3 = 0.
-2/3, -2/5, 0, 4
Factor 1/6*h**2 + 5*h + 0.
h*(h + 30)/6
Let s(i) be the first derivative of i**3/3 - 16*i - 13. Suppose s(g) = 0. What is g?
-4, 4
Let k(f) = f**3 - 5*f**2 + 2*f + 1. Let i(a) = -6*a**3 + 30*a**2 + 12*a - 3. Let l(y) = i(y) + 3*k(y). Solve l(r) = 0 for r.
-1, 0, 6
What is l in 140*l**2 - 3604*l - 11236/3 - 4/3*l**3 = 0?
-1, 53
Let q(n) = n**2 - 9*n + 8. Let i be q(8). Suppose 3*m = -m - 12, z + 4*m + 10 = i. Determine k, given that 0*k**z - 3*k**3 - 6*k**2 + 9*k**2 = 0.
0, 1
Factor -5*j - 267 + 32*j - j**4 + 287 + 3*j**2 - 10*j**3 + 5*j.
-(j - 2)*(j + 1)**2*(j + 10)
Let q(p) be the second derivative of p**5 + 44/3*p**3 + 1/15*p**6 + 11/2*p**4 + 20*p**2 + 0 - 2*p. Let q(o) = 0. Calculate o.
-5, -2, -1
Let b(a) = a**3 - 2*a**2 - 3*a + 3. Let f be b(2). Let i be 4 + -1 - (-2 - f). Factor 2 + 4*u**i - 1 - 5*u**2.
-(u - 1)*(u + 1)
Let y(n) be the third derivative of 23*n**2 + 0*n + 1/66*n**4 + 0*n**3 + 0 + 1/330*n**5. Suppose y(v) = 0. What is v?
-2, 0
Let 18/7*y**2 - 4/7*y**3 - 8/7*y + 0 = 0. Calculate y.
0, 1/2, 4