 s, given that 11*s**3 - 5*s**2 - 15*s**3 - h + 5*s**3 + 8*s = 0.
1, 2
Let q(c) be the third derivative of c**5/210 - 5*c**4/28 + 18*c**3/7 + 8242*c**2. Factor q(y).
2*(y - 9)*(y - 6)/7
Suppose 10 = 5*k + 2*m, 4*k = 5*m - 0*m - 25. Suppose 0 = -v + 3*f + 4, 0 = 3*v - k*f - f - 12. Find z such that 2*z**3 + 11*z**2 - 2*z**4 + z**v - 8*z**2 = 0.
-1, 0, 3
Let z(p) = -7*p + 186. Let n be z(23). Suppose 22*a + 12 = n*a. Find y, given that -y**3 + y - 4*y**2 + 5/2*y**a + 3/2 = 0.
-1, -3/5, 1
Suppose 7*t + 8 = 6*t - 5*a, -4*a - 52 = -3*t. Let x be 74/t + -1 - (-164)/(-984). Suppose -4/9*v**2 - 2/9*v**x + 0 + 0*v**3 + 2/9*v + 4/9*v**4 = 0. What is v?
-1, 0, 1
Let n(f) = f**2 - 15*f + 48. Let i be n(11). Let o(k) be the first derivative of -2/65*k**5 + 0*k**i + 0*k**3 + 0*k + 20 + 0*k**2. Factor o(p).
-2*p**4/13
Let w(k) be the third derivative of k**6/30 + 58*k**5/15 + 107*k**4/2 + 312*k**3 - 3*k**2 + 4*k - 69. Factor w(h).
4*(h + 3)**2*(h + 52)
Let p(n) be the third derivative of -n**5/480 - 383*n**4/96 - 1226*n**2. Suppose p(r) = 0. Calculate r.
-766, 0
Let q(k) be the first derivative of 1/6*k - 155 + 3/2*k**3 + 7/3*k**2. Solve q(z) = 0 for z.
-1, -1/27
Let s(v) be the first derivative of -3*v**5/25 - 39*v**4/10 - 216*v**3/5 - 729*v**2/5 + 2187*v/5 - 927. Let s(y) = 0. Calculate y.
-9, 1
Let o(p) = 2*p**4 - p**3 - p. Let n(h) = 45*h**4 - 1065*h**3 + 216*h**2 + 359*h**4 + 451*h**4 - 6*h. Let d(b) = -n(b) - 6*o(b). Factor d(a).
-3*a*(a - 1)*(17*a - 2)**2
Let n(z) be the second derivative of 0 - 3*z**4 + 0*z**2 - 99*z - 4/3*z**3 - 26/15*z**6 + 24/5*z**5. Suppose n(y) = 0. What is y?
-2/13, 0, 1
Suppose 0 = 2*c - q + 3*q + 108, c + 42 = -5*q. Let d = -53 - c. Suppose y**d + 90*y**2 - 4 - 20*y**3 + 39 - 6*y**4 - 100*y = 0. Calculate y.
-7, 1
Let h(u) be the first derivative of u**5/30 - 11*u**4/24 + 41*u**2/3 + 112*u/3 - 1480. Determine n, given that h(n) = 0.
-2, 7, 8
Factor 1467/2 - 77*z - 1/2*z**2.
-(z - 9)*(z + 163)/2
Let c(m) be the first derivative of 110 - 28/27*m**3 - 40/9*m**2 + 4/45*m**5 + 2/9*m**4 - 16/3*m. Factor c(w).
4*(w - 3)*(w + 1)*(w + 2)**2/9
Let r = 438 - 435. Let z(o) = -55*o + 165. Let a be z(r). Factor a - 4/5*t - 2/5*t**3 - 6/5*t**2.
-2*t*(t + 1)*(t + 2)/5
Factor 36/5*j**2 + 0*j + 12/5*j**3 - 3/5*j**4 + 0.
-3*j**2*(j - 6)*(j + 2)/5
Let j be ((-16)/12)/((-2)/(-9)). Let z be j*3/(-27)*3. Let 2*r**2 + 10 - r**z + 6 - 4*r - 4*r = 0. Calculate r.
4
Let t(s) = -3*s**2 + 6*s + 66. Let d(x) = -8*x**2 + 18*x + 187. Let n(r) = 6*d(r) - 17*t(r). Solve n(m) = 0.
-2, 0
Let x be 120/32 - (-4)/16. Let i(h) = -7*h**3 + 10*h**2 + 7*h - 10. Let k(d) = -3*d**3 + 5*d**2 + 3*d - 5. Let r(m) = x*i(m) - 10*k(m). Factor r(s).
2*(s - 5)*(s - 1)*(s + 1)
Let x = -487 - -491. Let d(i) be the third derivative of 0 + 11/24*i**6 - 1/3*i**3 + 0*i + x*i**2 + 2/15*i**7 - 5/24*i**4 + 2/5*i**5. What is j in d(j) = 0?
-1, -1/4, 2/7
Let r(l) be the third derivative of -l**5/30 + l**4/24 - l**3/6 - 2*l**2 + 16. Let w(a) = 9*a**2 - 29*a - 8. Let k(o) = 6*r(o) + w(o). Factor k(y).
-(y + 7)*(3*y + 2)
Suppose 4*h + 3*s = 93, -h + 21 = -0*h + 3*s. Let m be (-14)/3 + 16/h + 4. What is l in m - 1/2*l + l**2 - 1/2*l**3 = 0?
0, 1
Let y = -80 + 92. Suppose 23*i + y = 27*i. Factor -u**5 + 6*u**4 + 5414*u - 3*u**i - 10*u**2 - 5414*u.
-u**2*(u - 5)*(u - 2)*(u + 1)
Find b such that 3 + 1/4*b**2 + 13/4*b = 0.
-12, -1
Suppose -2*p + 5*n = -p + 2, -p - 20 = 4*n. Let b be (p/(-21) - 1)*20/(-3). Solve -b*i - 2/7*i**2 - 50/7 = 0 for i.
-5
Let j = -4443 + 799741/180. Let d(t) be the third derivative of -8*t**2 - j*t**6 + 0*t**3 + 0 + 0*t - 1/45*t**5 + 0*t**4 + 1/315*t**7. Factor d(k).
2*k**2*(k - 2)*(k + 1)/3
Let k(h) be the second derivative of h**7/21 + 23*h**6/105 - 29*h**5/70 - 31*h**4/42 + 22*h**3/21 + 8*h**2/7 + 38*h + 34. Let k(v) = 0. Calculate v.
-4, -1, -2/7, 1
Let y be 6/(-33) + (-5)/2 + 1990/660. Let h(p) be the second derivative of 2*p**3 + 0 + 6*p**4 + 36/5*p**5 + 4*p + y*p**2. Factor h(c).
2*(6*c + 1)**3/3
Suppose -3*s - 169 = -16*s. Factor -4 + 4*m**2 + 44*m - 71 + 24 + s - 66.
4*(m - 2)*(m + 13)
Let k = 93/646 + 827/3230. Let 4/5*f**2 - 4/5*f**4 - k*f**3 + 2/5*f**5 + 0*f + 0 = 0. Calculate f.
-1, 0, 1, 2
Suppose -13*d + 18*d - y - 40 = 0, 5*d + y - 40 = 0. Find f such that -7*f**2 + f**5 + f**2 + 4*f**3 + d*f**4 - 5*f**3 - 2*f**2 = 0.
-8, -1, 0, 1
Suppose 0 = -15*v + 7286 + 919. Solve 605*a - v*a + a**2 + 876 - 35 = 0 for a.
-29
Let c(m) be the third derivative of m**6/200 - 4*m**5/5 + 2013*m**4/40 - 7623*m**3/5 - 11*m**2 - 2*m + 479. Factor c(j).
3*(j - 33)**2*(j - 14)/5
Suppose 55 = -4*i + 5*u, -481*i - 66 = -485*i - 6*u. Factor i*h - 2/13*h**5 + 8/13*h**2 + 0 + 4/13*h**4 + 14/13*h**3.
-2*h**2*(h - 4)*(h + 1)**2/13
Let z(x) be the first derivative of 1/4*x**4 - 21/2*x**2 + 0*x - 94 + 20/3*x**3. Find h such that z(h) = 0.
-21, 0, 1
Factor 499*m - 200 + 5/2*m**2.
(m + 200)*(5*m - 2)/2
Let w = 16 + -1. Suppose -w = -12*o + 9*o. Determine q, given that -1 - o*q**3 + 4*q**3 - 3*q**2 + 3 - q**4 + 2*q**4 + q = 0.
-1, 1, 2
Let b(f) be the second derivative of -1/48*f**4 + 0*f**3 + 15/2*f**2 + 1/60*f**5 - 11*f + 0. Let l(v) be the first derivative of b(v). Solve l(d) = 0 for d.
0, 1/2
Let n be 0/((2 - 12)/10). Let a(f) be the third derivative of 12*f**2 - 1/150*f**6 + 0*f + 0 + n*f**3 + 0*f**5 + 0*f**4 - 1/525*f**7. Solve a(y) = 0 for y.
-2, 0
Factor 0 + 92/11*y**2 + 0*y + 8*y**4 + 2/11*y**5 - 182/11*y**3.
2*y**2*(y - 1)**2*(y + 46)/11
Let n(k) be the first derivative of 2*k**5/35 + 22*k**4/7 - 26*k**3/3 + 46*k**2/7 - 960. What is o in n(o) = 0?
-46, 0, 1
Let w(q) be the third derivative of 0 + 13/320*q**6 + 0*q - 1/2*q**3 - 82*q**2 - 1/448*q**8 + 1/560*q**7 - 5/16*q**4 - 1/80*q**5. Suppose w(s) = 0. Calculate s.
-2, -1, -1/2, 2
Let d(v) be the second derivative of 2 + 36*v**2 - 3/20*v**6 - 12/5*v**5 + 50*v - 59/8*v**4 + 23/2*v**3. Solve d(c) = 0 for c.
-8, -3, -2/3, 1
Let g(c) be the third derivative of -c**5/60 + 733*c**4/120 + 49*c**3/5 + 24*c**2 - 38*c. Factor g(o).
-(o - 147)*(5*o + 2)/5
Let a be 20/(-10 + 9)*3/(-12). Let g(b) be the second derivative of 2/21*b**7 - b - 8/3*b**4 - 14/3*b**3 - 2/5*b**a + 0 - 4*b**2 + 4/15*b**6. Factor g(j).
4*(j - 2)*(j + 1)**4
Let y(q) = -q**3 - 25*q**2 - 25*q - 20. Let d be y(-24). Let -219*i**d - 228*i**4 + 25*i**3 + 427*i**4 - 5*i**2 = 0. Calculate i.
0, 1/4, 1
Let u(q) be the third derivative of 2*q + 9*q**2 - 1/45*q**5 + 0 + 2/9*q**3 + 1/360*q**6 - 1/72*q**4. Find y such that u(y) = 0.
-1, 1, 4
Suppose -5*m - 2*d = 42 + 286, 2*d + 72 = -m. Let r be (-8)/6 + (m/(-12) - 4). Factor -1/4*u**2 + r*u + 1/4.
-(u - 1)*(u + 1)/4
Let f = 4370663/5 - 874132. Factor 0 - 21/5*u**2 - 9/5*u - 3*u**3 - f*u**4.
-3*u*(u + 1)**2*(u + 3)/5
Let o(l) be the second derivative of 51/10*l**5 + 227/6*l**4 + 7 + 8*l**2 + 94/3*l**3 - 24*l. Determine f, given that o(f) = 0.
-4, -1/3, -2/17
Find n, given that -1435 + 7173/2*n + 5/2*n**2 = 0.
-1435, 2/5
Let i(u) = u**3 - 18*u**2 - 22*u + 63. Let b be i(19). Let q(y) = y**2 - 14*y + 50. Let x be q(b). Factor -5/3*f - 4/3*f**x - 1/3*f**3 - 2/3.
-(f + 1)**2*(f + 2)/3
Let a be (-12 + 345/30)/(1/10). Let c be ((-4)/1)/((70/7)/a). Suppose 0 - 2/9*r - 2/9*r**3 - 4/9*r**c = 0. What is r?
-1, 0
Factor -1/4*b**3 - 11/4*b**2 + 0 - 7*b.
-b*(b + 4)*(b + 7)/4
Let j(v) be the third derivative of -33/2*v**3 - 1/40*v**6 - 7/20*v**5 - 228*v**2 + 0 + 0*v + 41/8*v**4. Factor j(r).
-3*(r - 3)*(r - 1)*(r + 11)
Factor -710 + 5/4*j**2 - 705/2*j.
5*(j - 284)*(j + 2)/4
Let v(u) be the first derivative of -2*u**7/63 + 2*u**6/45 + 2*u**5/15 - 46*u - 17. Let x(r) be the first derivative of v(r). Factor x(c).
-4*c**3*(c - 2)*(c + 1)/3
Solve 3/2*h**3 + 195 + 189/2*h - 99*h**2 = 0 for h.
-1, 2, 65
Let r be (-35 - (-64 - -35))*(2/14 - (-76)/(-42)). Find w, given that 14*w + 2/5*w**3 + 22/5*w**2 + r = 0.
-5, -1
Suppose -5*p + 18 = -4*p. Suppose -15*m + p = -12. Factor 0*k - 2/11*k**m + 0.
-2*k**2/11
Let z(t) be the first derivative of -t**3/3 + 425*t**2/2 + 854*t + 2247. Factor z(s).
-(s - 427)*(s + 2)
Factor 76 - 6293*g + 109*g**2 + 3122*g + 2983*g + 3*g**3.
(g - 1)*(g + 38)*(3*g - 2)
Let b(c) be the third derivative of -2*c**2 - 2/15*c**5 + 5/6*c**4 + 4 + 0*c - 4/3*c**3. What is m in b(m) = 0?
1/2, 2
Let p(n) = 477603*n**2 - 4784*n - 8. Let t