618 + 1574. Let c = -132 + x. Solve 91*z + z**2 + 3*z**2 + 238 + c*z + 338 = 0 for z.
-12
Factor -11/6*y**2 - 131*y + 72.
-(y + 72)*(11*y - 6)/6
Let l(o) be the third derivative of 0*o**3 - 1/6*o**4 + 1/15*o**5 - 29*o**2 + 0 + 0*o. Factor l(f).
4*f*(f - 1)
Factor -145152*w + 4524*w**3 + 102463 - 27487 + 3*w**5 + 3*w**5 - 3*w**5 - 207*w**4 + 90912 - 25056*w**2.
3*(w - 24)**3*(w - 1)*(w + 4)
Let m(i) be the first derivative of i**4/8 + 61*i**3/6 + 44*i**2 + 58*i - 445. Find z such that m(z) = 0.
-58, -2, -1
Let g(o) be the first derivative of -o**3/30 + o**2/10 - o/10 - 758. Determine y, given that g(y) = 0.
1
Suppose 74*c = 72*c + 10. Let j(k) = 10 - 3 - 4 - 4. Let z(a) = 5*a**2 + 110*a + 610. Let t(l) = c*j(l) + z(l). Factor t(q).
5*(q + 11)**2
Let m be 572/14 - 4/(-28). Let l = m + -36. Suppose -15 - 15*v**3 + 5*v**l - 10*v**2 + 15 = 0. What is v?
-1, 0, 2
Suppose 2*r = -2411 + 2419. Suppose -r*b = 5*y + 4, 6*y - 8*y - 4 = 4*b. Factor 1/3*o**3 + y + 1/3*o**2 - 2/3*o.
o*(o - 1)*(o + 2)/3
Let r(j) be the first derivative of -38 - 48*j**3 - 32/5*j + 148/5*j**2 - 108/25*j**5 + 297/10*j**4. Solve r(n) = 0 for n.
1/6, 2/3, 4
Let -16/5*r**2 + 6/5*r**3 + 0 + 4/5*r**4 - 2/5*r**5 + 8/5*r = 0. Calculate r.
-2, 0, 1, 2
Suppose 0 = -201*u - 6 + 3 + 3. Let d(m) be the third derivative of -1/40*m**6 + 0 - 45*m**2 + 0*m**5 + 0*m + u*m**3 + 0*m**4. Factor d(v).
-3*v**3
Let a(m) be the first derivative of 1/2*m**6 - 9/5*m**5 + 27*m**2 + 24*m - 21/4*m**4 - 80 + 7*m**3. Factor a(c).
3*(c - 4)*(c - 2)*(c + 1)**3
Suppose 0 = -5*a - 3*s + 72, 0*a + s = -3*a + 40. Let b be (((-66)/a)/(-11))/((-2)/(-16)). Factor b*f + 9 + 4*f - 9 + 4*f**2.
4*f*(f + 2)
Suppose -4*q - 55 + 7 = -2*l, -4*l + 90 = -2*q. Suppose 16*p - 106*p - 14*p + 1323 - l*p + 13*p**2 - 10*p**2 = 0. What is p?
21
Let q(a) be the second derivative of -64*a**3 - 16 + 136/5*a**4 + a - 256/5*a**2 + 6/25*a**6 - 106/25*a**5. Factor q(k).
4*(k - 4)**3*(9*k + 2)/5
Suppose 68 - 64 = 13*x - 165. Let i(r) be the third derivative of 1/2*r**4 - x*r**2 + 0 + 5/2*r**3 + 0*r - 1/20*r**5. Suppose i(t) = 0. What is t?
-1, 5
Let x be (-2 + 2 - 0) + 4. Suppose -r - x*v - 6 = 0, 4*r - 14 = v + 2*v. Factor -1/2*p + 0 + 1/4*p**r.
p*(p - 2)/4
Let k(h) be the third derivative of -h**8/2184 + 2*h**7/1365 + h**6/39 - 11*h**5/65 + 15*h**4/52 - 3272*h**2. Determine t so that k(t) = 0.
-5, 0, 1, 3
Let q = 10718/3 - 3570. Let b(w) be the first derivative of -q*w**3 - w**4 + 8*w**2 + 32*w + 7. Determine c, given that b(c) = 0.
-2, 2
Suppose 0 = -22*p - 44*p - 138*p + 408. Determine f so that 13/5*f**p - 24/5*f - 4/5 = 0.
-2/13, 2
Let r(w) be the third derivative of w**7/840 - 11*w**6/120 + 25*w**5/48 - 41*w**4/48 - 2*w**2 + 3458. What is g in r(g) = 0?
0, 1, 2, 41
Determine n, given that 1/4*n**4 + 1/2*n**2 + 12*n - 9/4*n**3 + 0 = 0.
-2, 0, 3, 8
Let z(g) be the third derivative of -g**8/168 - 2*g**7/105 + g**6/30 + 2*g**5/15 - g**4/12 - 2*g**3/3 + 7462*g**2. Find b, given that z(b) = 0.
-2, -1, 1
Let f(x) be the first derivative of -x**6/24 + 23*x**5/12 + 5*x**4/24 - 115*x**3/6 + 38*x**2 + x + 90. Let c(r) be the second derivative of f(r). Factor c(n).
-5*(n - 23)*(n - 1)*(n + 1)
Let l(r) = -2*r**2 - 2*r. Let o = 192 - 193. Let h(k) = -14*k**2 + 164*k - 3872. Let s(q) = o*h(q) + 6*l(q). Suppose s(g) = 0. What is g?
44
Let y(b) be the third derivative of -b**7/630 - b**6/72 + 11*b**5/90 + 7*b**4/9 + 904*b**2. Let y(v) = 0. Calculate v.
-7, -2, 0, 4
Solve 28 + 198/7*v**3 - 194/7*v**2 - 198/7*v - 2/7*v**4 = 0 for v.
-1, 1, 98
Suppose -4*h - 204 = -2*u, -3128*u - 251 = -3131*u + h. Let 8*m + u + 1/5*m**2 = 0. What is m?
-20
Find w such that 86*w + 175/2*w**2 - 2 + 22*w**3 = 0.
-2, 1/44
Let r(t) be the first derivative of -t**6/900 + 17*t**5/300 - t**4/2 + 140*t**3/3 - 36. Let a(k) be the third derivative of r(k). Suppose a(j) = 0. Calculate j.
2, 15
Let j(k) = -5*k**3 - 1349*k**2 + 75269*k - 73948. Let p(i) = 3*i**3 + 675*i**2 - 37635*i + 36975. Let f(t) = 6*j(t) + 11*p(t). Factor f(h).
3*(h - 111)**2*(h - 1)
Let w = 9 - -10. Let b(a) = -a**2 + 19*a + 2. Let r be b(w). Factor -2*d**2 + r*d**2 + d**3 - d**2 - d - d.
d*(d - 2)*(d + 1)
Let n(f) be the first derivative of -7/8*f**4 + 7/6*f**3 + 0*f + 116 - 1/2*f**2 + 1/5*f**5. Factor n(q).
q*(q - 2)*(q - 1)*(2*q - 1)/2
Let r be 32/(-6)*335/(-2010). Solve 2/3*j**2 - 8/9*j - r = 0 for j.
-2/3, 2
Suppose -6*z + 5*z = -41. Let t = z + -39. Suppose -x**t + 15 + 15 - 23*x + 6*x**2 - 2*x = 0. Calculate x.
2, 3
Suppose 50 = -5*o - 10*h, 9*h = 2*o + 5*h + 12. Let w be 4216/3255 + o/84. Solve -w*i**2 - 6/5*i - 2/5 - 2/5*i**3 = 0 for i.
-1
Let y(v) be the second derivative of -v**4/3 + 46*v**3 + 432*v**2 - 6*v + 396. Let y(g) = 0. Calculate g.
-3, 72
Let h(u) = 28*u**2 - 4*u + 24. Let o = -125 - -124. Let f(v) = -v - 2. Let n(c) = o*h(c) - 12*f(c). Factor n(m).
-4*m*(7*m - 4)
Let j(d) be the first derivative of 2*d**3/3 - 33*d**2 + 520*d + 1790. Factor j(p).
2*(p - 20)*(p - 13)
Let y = -7057/5 + 7141/5. Let -38/5*m**4 + 0 - 72/5*m**2 - 16/5*m - 6/5*m**5 - y*m**3 = 0. Calculate m.
-2, -1/3, 0
Suppose 5*z - 2195 = -o, 6*o + 435 = z + 7*o. Let v be -3*(2/14 + z/(-385)). Determine k, given that 0*k + 0 - 2/13*k**v + 0*k**2 = 0.
0
Factor 168/11*h + 216/11 + 2/11*h**3 + 34/11*h**2.
2*(h + 2)*(h + 6)*(h + 9)/11
Factor -4*p**4 + 224*p**3 - 13440*p - 2477 - 2569 + 878 - 2656*p**2 - 895 - 9337.
-4*(p - 30)**2*(p + 2)**2
Determine o, given that -2601 - 1/4*o**5 - 819/4*o**3 - 1020*o + 5567/4*o**2 - 63/4*o**4 = 0.
-34, -1, 3
Let l be (-5)/((0 - -2)/((-1)/3*6)). Let x(r) be the second derivative of 0 + 1/6*r**4 - 1/20*r**l + 7/6*r**3 + 2*r**2 - 19*r. Factor x(y).
-(y - 4)*(y + 1)**2
Let k = 5292 - 5288. Let i(q) be the second derivative of -22*q + 0*q**2 - 5/102*q**k + 0 - 2/51*q**3 - 3/170*q**5. Find n, given that i(n) = 0.
-1, -2/3, 0
Let r(y) = -y**4 - 12*y**3 + 80*y**2 - 98*y + 2. Let j(i) = i**4 - 2*i**2 - i + 1. Let g(q) = -2*j(q) + r(q). Factor g(b).
-3*b*(b - 2)**2*(b + 8)
Let o(t) be the second derivative of -t**6/75 - 291*t**5/50 + 146*t**4/15 + 485*t. Suppose o(j) = 0. What is j?
-292, 0, 1
Let g be (13 + (21/2)/((-258)/344))*-3. Let -1006/5*w**g - 54/5*w**2 + 32/5*w**5 - 624/5*w**4 - 42/5 + 254/5*w = 0. What is w?
-1, 1/4, 21
Let q = 31/55 + 213/110. Let v(g) be the first derivative of 0*g**2 + 27 + 0*g - 5/8*g**4 + q*g**3. Factor v(m).
-5*m**2*(m - 3)/2
Let f(k) be the second derivative of 243*k**5/20 + 12843*k**4/4 - 2860*k**3 + 954*k**2 - 263*k. Factor f(s).
3*(s + 159)*(9*s - 2)**2
Let v(c) be the first derivative of -c**6/40 + 11*c**5/120 - c**4/8 + c**3/12 + 48*c**2 + 160. Let d(l) be the second derivative of v(l). Factor d(k).
-(k - 1)*(2*k - 1)*(3*k - 1)/2
Let a(d) = 3*d**2 + 78*d - 51. Let w be a(-24). Let c = 417/2 + w. Factor -243/4 + c*u - 3/4*u**2.
-3*(u - 9)**2/4
Let n(w) be the third derivative of -w**7/735 - 23*w**6/420 - 52*w**5/105 + 32*w**4/21 - 2*w**2 + 46*w - 16. Solve n(v) = 0 for v.
-16, -8, 0, 1
Let x(o) be the third derivative of 0*o + 0 + 0*o**3 - 55/14*o**7 + 38*o**2 - 1/3*o**5 + 0*o**4 + 375/112*o**8 - 7/3*o**6. Factor x(y).
5*y**2*(y - 1)*(15*y + 2)**2
Let n(m) be the second derivative of -m**4/24 - 127*m**3 + 1525*m**2/4 + 6766*m. Factor n(r).
-(r - 1)*(r + 1525)/2
Let c = -105553 - -738873/7. Factor 1/7*y**5 - 3/7*y**3 - 1/7*y**2 + 0 + c*y + 1/7*y**4.
y*(y - 1)**2*(y + 1)*(y + 2)/7
Factor -s**3 - 520 + 6717*s**2 - 3414*s**2 + 577*s - 3359*s**2.
-(s - 8)*(s - 1)*(s + 65)
What is o in 331/3*o + 14*o**2 - 1/3*o**3 + 196 = 0?
-4, -3, 49
Let m(v) be the second derivative of -v**5/40 + v**4/4 - v**3/4 - 5*v**2/2 - 35*v - 7. Factor m(z).
-(z - 5)*(z - 2)*(z + 1)/2
Let q(h) = 181*h**3 - 9813*h**2 - 4054087*h - 34. Let r(o) = -32*o**3 + 1635*o**2 + 675681*o + 6. Let a(v) = -6*q(v) - 34*r(v). Factor a(b).
2*b*(b + 822)**2
Let h(x) be the first derivative of x**4/4 - 100*x**3/3 + 1250*x**2 + 6785. Determine k, given that h(k) = 0.
0, 50
Let u = -51465 - -51467. Suppose 22/9*b**3 + 136/9*b - 80/9 - 28/3*b**u - 2/9*b**4 = 0. What is b?
2, 5
Let v(z) be the second derivative of -3025*z**4/3 - 880*z**3/3 - 32*z**2 + 2057*z. Find m such that v(m) = 0.
-4/55
Let w = 750 + -361. What is m in 196*m**2 + w*m + m**4 - 195*m - 194*m + 28*m**3 = 0?
-14, 0
Let l(r) be the third derivative of 