 m be (-10)/(-8)*44/33. Let c be 4/(-24) - -5*4/60. Find q such that -5/6*q + 5/6*q**4 + 5/3*q**2 + c - 1/6*q**5 - m*q**3 = 0.
1
Solve 554*k + 8*k**2 + 10*k**2 - 371*k + 90 - 12*k**2 = 0 for k.
-30, -1/2
Let w(a) be the third derivative of -a**5/15 - 31*a**4/3 - 770*a**3/3 - 11*a**2 - 144. Let w(k) = 0. What is k?
-55, -7
Suppose -5*r - 21 + 61 = 0. Suppose 3*n + 15 = r*n. Factor 21*u + u**3 - 6*u**n + 2*u**3 - 18*u.
-3*u*(u - 1)*(u + 1)
Let s = 468497 - 936973/2. Suppose -13/4 - 1/4*h**4 - 4*h**3 - s*h**2 - 10*h = 0. What is h?
-13, -1
Suppose z + 4*s = -1735, 3*z = 3*s - 3424 - 1706. Let t = z - -3479/2. Factor -1/2*c**2 - t + 7*c.
-(c - 7)**2/2
Let z(g) be the first derivative of g**4 - 148*g**3/3 + 1653. Factor z(t).
4*t**2*(t - 37)
Let q = -4283 - -4286. Let m(d) be the third derivative of 0 - 1/120*d**5 - 7*d**2 + 0*d + 0*d**q + 1/72*d**4 + 1/720*d**6. Solve m(j) = 0 for j.
0, 1, 2
Let z(i) be the third derivative of i**5/210 + 89*i**4/84 - 124*i**3/7 + 2059*i**2. Find o such that z(o) = 0.
-93, 4
Let n = 1231 - 1182. Suppose -24*t + n - 1 = 0. Determine k, given that -4/7*k**t + 2/7*k**3 + 0*k + 2/7*k**4 + 0 = 0.
-2, 0, 1
Let j = 36607 - 36605. What is s in 10/13*s**5 + 24/13*s**4 + 24/13*s - 22/13*s**3 + 16/13 - 4*s**j = 0?
-2, -2/5, 1
Let v be (4/(-5))/(2*(-2)/20). Let a = 3/26 + 37/130. Find c such that a*c**v - 4/5*c - 8/5*c**3 + 0 + 2*c**2 = 0.
0, 1, 2
Factor -255*d - 3/2*d**2 - 504.
-3*(d + 2)*(d + 168)/2
Determine p so that 1/9*p**3 - 400/9*p**2 + 0 - 401/9*p = 0.
-1, 0, 401
Let h(q) be the second derivative of 2*q**7/63 - 86*q**6/45 - 89*q**5/15 - 5*q**4 + 27*q + 1. Factor h(b).
4*b**2*(b - 45)*(b + 1)**2/3
Determine b, given that -8/5*b - 2*b**2 + 2/5*b**4 - 2/5*b**5 + 8/5 + 2*b**3 = 0.
-2, -1, 1, 2
Let b = -416 + 446. Let o be b/105 - 4/14. Factor 0*s + 0*s**4 + 2/3*s**5 + o - 2/3*s**3 + 0*s**2.
2*s**3*(s - 1)*(s + 1)/3
Let j(d) be the second derivative of 2/3*d**3 - 6*d**2 + 0 + d**4 + 10*d - 1/5*d**5. Solve j(i) = 0.
-1, 1, 3
Suppose 0 = -314*m + 310*m + 1136. Determine t, given that -4*t**2 - 139*t + 2*t**3 + 4*t**4 - 143*t - 4*t**3 + m*t + 0*t**4 = 0.
-1, 0, 1/2, 1
Suppose 10*v - 32 = 8. Factor 201*t**4 + t**5 + 3*t**3 + v*t**2 + 2 - 4*t - 2 - 205*t**4.
t*(t - 2)**2*(t - 1)*(t + 1)
Let y(w) = -15*w + 4. Let k be y(4). Let h = -48 - k. Suppose -7*t - h*t**3 + 7*t + 4*t**4 + 10*t**5 - 6*t**5 = 0. Calculate t.
-2, 0, 1
Let b(t) be the first derivative of 3*t**5/40 - t**4/8 - t**3/2 - 142*t - 298. Let m(w) be the first derivative of b(w). Factor m(v).
3*v*(v - 2)*(v + 1)/2
Let p(o) = -38*o**3 + 38*o**2 + 4*o - 1. Let v be p(1). Factor -5/7*y**2 + 4/7*y - 1/7*y**v + 20/7.
-(y - 2)*(y + 2)*(y + 5)/7
Let d = -725 + 1471. Let q = -3729/5 + d. Suppose -1/5 + q*o**2 + 4/5*o**3 - 4/5*o = 0. What is o?
-1, -1/4, 1
Factor 160/19*o + 0 + 2/19*o**2.
2*o*(o + 80)/19
Let v(l) be the third derivative of -l**6/60 - 139*l**5/30 - 181*l**4/4 - 135*l**3 + 12159*l**2. Determine u, given that v(u) = 0.
-135, -3, -1
Suppose 11 + 12*p + 30*p**4 - 14 - 34*p**2 - 36*p**4 + 30*p**3 + 3 - 2*p**5 = 0. Calculate p.
-6, 0, 1
Let p(x) be the third derivative of x**8/126 + 289*x**7/945 + 581*x**6/180 - 7*x**5/27 - 104*x**4/9 + 32*x**3/3 + 355*x**2 + 5*x. Suppose p(z) = 0. What is z?
-12, -1, 1/4, 2/3
Let w be 8/10*10/2. Suppose 4*z - 20 = -2*d, -45*d - 21 = z - 51*d. Let -22*n**z - 11*n**2 + 5*n**2 + 2*n + 14*n**2 + 12*n**w = 0. Calculate n.
-1/6, 0, 1
Factor -2/13*x**2 + 784/13*x - 76832/13.
-2*(x - 196)**2/13
Let t(v) be the third derivative of v**8/5040 + v**7/315 + v**6/60 + 7*v**5/20 - 56*v**2 + v. Let n(p) be the third derivative of t(p). Factor n(r).
4*(r + 1)*(r + 3)
Let o = 1206 + -1204. Let h(a) be the first derivative of -15/2*a**o - a**3 + 18*a - 25. Factor h(f).
-3*(f - 1)*(f + 6)
What is q in -18*q**5 - 9*q**4 + q - 20*q**5 + 23*q + 53*q**5 - 66*q**3 + 36*q**2 = 0?
-2, -2/5, 0, 1, 2
Factor 7/9*k**4 + 14/3*k - 53/9*k**2 + 4/3*k**3 - 8/9.
(k - 1)**2*(k + 4)*(7*k - 2)/9
Let n(u) be the third derivative of u**7/420 - u**5/20 - u**4/6 + 23*u**3 + 4*u**2 + 10*u. Let l(z) be the first derivative of n(z). Find j such that l(j) = 0.
-1, 2
Let p(g) be the first derivative of 4*g**5/25 + 8*g**4/5 - 244*g**3/15 + 104*g**2/5 + 724. Factor p(t).
4*t*(t - 4)*(t - 1)*(t + 13)/5
Suppose -4*y + 4 = -4*z, -2*y + 4*z + 546 = 542. Factor -1/2*v**3 + 0 - 3/2*v**4 + y*v + v**2.
-v**2*(v + 1)*(3*v - 2)/2
What is l in 588*l + 10*l**4 - 117139*l**5 - 220*l**4 + 834*l**2 + 117070*l**5 + 129*l**3 + 24 = 0?
-2, -1, -1/23, 2
Determine o so that 14*o**2 + 2*o**5 - 8/3*o - 22/3*o**3 - 10/3*o**4 - 8/3 = 0.
-2, -1/3, 1, 2
Let f(r) be the first derivative of 0*r - 7/72*r**4 + 10*r**2 + 20 + 1/20*r**5 - 1/9*r**3. Let y(o) be the second derivative of f(o). Factor y(d).
(d - 1)*(9*d + 2)/3
Let b be (-14*(-4)/48)/(18/(-612)). Let m = b + 121/3. What is s in -m*s**2 - 512/3 + 64/3*s = 0?
16
Let r(x) be the third derivative of 0*x**3 + 7/180*x**6 + 0 + 3*x + 0*x**5 - 1/36*x**4 + 2/105*x**7 + 3*x**2. Determine w so that r(w) = 0.
-1, -1/2, 0, 1/3
Let f(r) = r**2 + 4*r - 10. Let a be f(-7). Suppose 0*k + 33 = 4*k + 5*x, 0 = 2*k - 3*x + a. Factor 33*i - 5*i**k + 10*i**2 - 41*i - 20 + 23*i.
5*(i - 1)*(i + 4)
Let u(k) be the third derivative of 2*k**7/315 - 16*k**6/45 + 31*k**5/45 + 261*k**2 - 1. Factor u(t).
4*t**2*(t - 31)*(t - 1)/3
Factor 6 + 5*f**2 - 23/2*f + 1/2*f**3.
(f - 1)**2*(f + 12)/2
Let k(b) be the second derivative of -3*b**5/40 - 5*b**4 + 4*b**3 + 480*b**2 - 14159*b. Factor k(m).
-3*(m - 4)*(m + 4)*(m + 40)/2
Factor 1322 + 4*g**2 + 150*g - g**2 - 1034.
3*(g + 2)*(g + 48)
Let u(v) = -78*v**2 + 158*v**2 - 81*v**2 - 2. Let l(m) = 496*m + 15368. Let d(q) = l(q) - 4*u(q). Solve d(z) = 0.
-62
What is h in -1/3*h**2 + 1/6*h**5 - 1/3*h**3 + 1/6 + 1/6*h + 1/6*h**4 = 0?
-1, 1
Factor 1/3*l**5 + 84*l + 0 - 124*l**2 + 139/3*l**3 - 20/3*l**4.
l*(l - 7)*(l - 6)**2*(l - 1)/3
Let f(w) be the first derivative of -w**4/4 - w - 16. Let v(i) = -7*i**3 - 3*i**2 - 6. Let s(b) = 6*f(b) - v(b). Determine z, given that s(z) = 0.
-3, 0
Let v(i) = 4*i**4 + 24*i**3 + 20*i**2 - 16*i - 16. Let f = -24 + 16. Let a(w) = -w**3 - w**2. Let k(b) = f*a(b) - v(b). Factor k(j).
-4*(j - 1)*(j + 1)*(j + 2)**2
Let q = -96 + 108. Factor -10*c**4 + 10*c**2 + 27*c - 6*c - 5*c**5 - 4*c - q*c.
-5*c*(c - 1)*(c + 1)**3
Let f(n) = -n**3 - 5*n**2 + 3*n - 20. Let j be f(-6). Let u be 2 + (3 + j)/1. Factor 2*q**2 + 3*q**2 + q**u + 2*q**4 - 5*q**3 - 3*q**2.
2*q**2*(q - 1)**2
Suppose -274 = -5*n - 4*f, n - 4*f + 12 = 62. What is c in -c**3 - 1 - 2*c**2 - n*c + 55*c + 3 = 0?
-2, -1, 1
Find j, given that 1/11*j**5 + 56/11*j + 117/11*j**3 + 0 - 142/11*j**2 - 32/11*j**4 = 0.
0, 1, 2, 28
Let l = 35339 - 35339. Let f(g) be the third derivative of 1/15*g**6 + l*g**3 + 0*g**4 - 1/21*g**7 + 13*g**2 + 0*g - 1/30*g**5 + 1/84*g**8 + 0. Factor f(j).
2*j**2*(j - 1)**2*(2*j - 1)
Let r(a) be the third derivative of a**7/1260 - 53*a**6/240 + 1039*a**5/60 + 460*a**4/9 - 3200*a**3/3 + 2*a**2 - 3*a. Solve r(o) = 0.
-3, 2, 80
Let k be -81*6/(-9)*-1. Let s = k - -57. Factor d**2 + 14*d**2 + 12 - 32 + 5*d**s.
5*(d - 1)*(d + 2)**2
Suppose -2250*d = -2319*d. Let g(c) be the third derivative of -13*c**2 - 5/24*c**4 - 3/40*c**6 + 0*c + 1/3*c**3 + d - 4/15*c**5. Factor g(t).
-(t + 1)**2*(9*t - 2)
Let l = 245 - 240. Suppose -253*f + 254*f - l = 0. Factor 5*u + f*u**2 + 5/3*u**3 + 5/3.
5*(u + 1)**3/3
Let n(o) be the third derivative of 0 - 4*o**2 + 1/420*o**8 + 0*o**3 + 2/5*o**4 + 0*o + 0*o**7 - 3/50*o**6 + 4/75*o**5. Suppose n(r) = 0. What is r?
-3, -1, 0, 2
Suppose 29 - 29 = 36*p. Let f(y) be the third derivative of -1/100*y**5 + 1/200*y**6 - 1/560*y**8 + p*y - y**2 + 0*y**3 + 0 + 1/350*y**7 + 0*y**4. Factor f(t).
-3*t**2*(t - 1)**2*(t + 1)/5
Let a = 68 + -37. Suppose a - 4 = 9*y. What is o in 75*o**2 + 2*o + 3*o + 106*o**3 + 5*o + 34*o**y = 0?
-2/7, -1/4, 0
Let w(n) be the first derivative of n**7/15 - 3*n**6/25 - 6*n**5/25 + 2*n**4/15 - 91*n + 1. Let d(i) be the first derivative of w(i). Solve d(z) = 0.
-1, 0, 2/7, 2
What is c in 224*c**3 + 225*c + 899/2*c**2 + 0 - 1/2*c**4 = 0?
-1, 0, 450
Let v be ((-1)/3 - -1)/(37/444). Factor -6*n**5 - 5*n**5 + 7*n**5 - 4*n**4 + v*n**4.
-4*n**4*(n - 1)
Factor 1032*m - 34997 - 35019 + 69972 + 47*m**2.
(m + 22)*(47