e the first derivative of 30/7*x**2 - k*x**3 - 29 - 450/7*x. Factor o(v).
-2*(v - 15)**2/7
Let n = 470332 - 470330. Let 5/7*u + 2/7*u**n - 6/7 - 1/7*u**3 = 0. Calculate u.
-2, 1, 3
Let c(o) be the first derivative of o**4/2 + 160*o**3/3 + 157*o**2 + 156*o + 677. Suppose c(q) = 0. Calculate q.
-78, -1
Let k(y) = -44*y**2 + 1016*y - 5548. Let m(l) = -14*l**2 + 342*l - 1850. Let r(z) = 5*k(z) - 16*m(z). Determine v, given that r(v) = 0.
5, 93
Let k be ((-4)/(-8))/(2/(-12) - (-185)/30). Let h(y) be the first derivative of -4/3*y - 4/3*y**2 - 37 - k*y**4 - 5/9*y**3. Suppose h(w) = 0. Calculate w.
-2, -1
Let d(z) = z**4 + z**3 - 4*z**2 + z - 9. Let s(k) = 5*k**4 + 14*k**3 - 3*k**2 - 102*k - 54. Let h(r) = -6*d(r) + s(r). Suppose h(x) = 0. Calculate x.
-4, 0, 3, 9
Let z(d) = -3*d**4 + 819*d**3 - 78675*d**2 + 2490900*d - 2413071. Let g(i) = -7*i**3 + i**2 - 4*i. Let l(u) = 3*g(u) - z(u). What is q in l(q) = 0?
1, 93
Let x(j) be the second derivative of j**7/756 - j**6/405 - j**3/6 - 61*j**2/2 - 4*j - 9. Let h(o) be the second derivative of x(o). Factor h(m).
2*m**2*(5*m - 4)/9
Factor 500*b**2 - 9*b**4 + 5*b**5 - 105*b**3 + 4773*b - 5273*b - 11*b**4.
5*b*(b - 5)*(b - 2)**2*(b + 5)
Let d(r) be the second derivative of -5/24*r**4 - 206*r + 0 + 7*r**2 - 23/12*r**3. Factor d(g).
-(g - 1)*(5*g + 28)/2
Let b(n) be the first derivative of n**4/32 - 28*n**3/3 + 11845*n**2/16 + 39675*n/4 - 15202. Factor b(q).
(q - 115)**2*(q + 6)/8
Let g(u) be the third derivative of -u**8/20160 - u**7/630 - u**6/60 + 19*u**5/60 - 55*u**2. Let h(n) be the third derivative of g(n). Factor h(z).
-(z + 2)*(z + 6)
Let l be 8/(-12260)*(148/(-32) - -4). Let w = l - -14705/17164. Suppose 8/7*q**3 - 4/7*q + 6/7*q**2 - 4/7*q**5 + 0 - w*q**4 = 0. Calculate q.
-2, -1, 0, 1/2, 1
Suppose 8*c + 4*j = 5*c, c - 4*j - 16 = 0. Solve -752*i + 752*i - c*i**4 + 68*i**2 + 64*i**3 = 0.
-1, 0, 17
Let k be 764/6 - ((-20)/(-6) + -4). Factor 40*m**2 - 12*m + 4*m**3 + 136*m + 4*m + k.
4*(m + 2)*(m + 4)**2
Let r(o) = -8*o**2 + 1006*o + 672. Let b(u) = -49*u**2 + 6037*u + 4032. Let q(i) = 2*b(i) - 13*r(i). What is n in q(n) = 0?
-2/3, 168
Let u be 1 + 4066/(-12) + (-1)/6. Let n = -236 - u. Factor -106*g**2 - 3*g**5 - g**5 + n*g**2 + 2*g**5 + 4*g**4 + 2*g.
-2*g*(g - 1)**3*(g + 1)
Let t(z) be the first derivative of 4/3*z**3 - 16*z + 4*z**2 + 215 - 1/2*z**4. Let t(b) = 0. What is b?
-2, 2
Suppose -3*u + 23 = 2*k, -7*u + 25 = -2*u. Suppose 3*h - 10 = -2*g, -47*h = -k*g - 51*h + 16. Determine a, given that 2/5 + 4/5*a + 2/5*a**g = 0.
-1
Let w = 1717 - 955. Let y = -3798/5 + w. Determine h, given that 6/5*h**4 + 14/5*h**3 - y*h**2 - 24/5*h + 16/5 = 0.
-2, 2/3, 1
Let v(q) be the first derivative of -q**4/12 + 818*q**3/3 - 334562*q**2 + 547343432*q/3 + 1556. Factor v(n).
-(n - 818)**3/3
Let x = 12106588/21 + -576089. Let s = -415 + x. What is p in 4/21*p**3 + 16/21*p**2 - 4/21*p**4 + 2/3*p + s - 2/21*p**5 = 0?
-1, 2
Let f(v) be the third derivative of 0*v - 32*v**2 + 1/60*v**5 + 0 + v**3 + 7/24*v**4. Find z such that f(z) = 0.
-6, -1
Let q be (170829/2394)/(-111)*7/(-18). Factor -5/4*h + q*h**2 + 3/2.
(h - 3)*(h - 2)/4
Let q = -1875780 + 1875782. Factor 2/21*v**q + 16/21*v + 32/21.
2*(v + 4)**2/21
Let b(f) be the second derivative of -1 + 1/60*f**5 + 6*f**2 - 1/18*f**4 - 25*f - 5/6*f**3. Factor b(x).
(x - 3)**2*(x + 4)/3
Let b(p) = -203*p + 1627. Let h be b(8). Let v(r) be the first derivative of 0*r + 27/4*r**h - 9/8*r**4 + 6 + 0*r**2 + 1/20*r**5. Let v(q) = 0. What is q?
0, 9
Let q = 6553/2 - 3142. Let p = 135 - q. Factor 9/4*y**2 - 7/4*y + 1/4*y**4 + p - 5/4*y**3.
(y - 2)*(y - 1)**3/4
Let a(l) be the third derivative of -1/420*l**8 + 0*l**5 + 0*l**3 + 0 + 0*l**4 - 30*l - 2/75*l**6 - 2*l**2 - 8/525*l**7. Factor a(x).
-4*x**3*(x + 2)**2/5
Let h be 58/56 - 72/63*(-55)/(-220). Suppose 1/4*b**3 + h*b**2 - b + 0 = 0. Calculate b.
-4, 0, 1
Let q(g) be the first derivative of 3*g**4/16 + 3*g**3/4 - 21*g**2/2 - 347. Factor q(h).
3*h*(h - 4)*(h + 7)/4
Let m(o) = -o**4 + 20*o**3 - 27*o**2 - 829*o + 3587. Let b(v) = v**3 - v**2 + v + 1. Let f(s) = 3*b(s) - m(s). Let f(t) = 0. Calculate t.
-7, 8
What is j in 71/2*j**2 + 17*j + j**3 - 35/2 = 0?
-35, -1, 1/2
Let x(q) be the third derivative of q**6/120 + q**5/15 - 4*q**4/3 + 2*q**2 + 2*q + 27. Factor x(h).
h*(h - 4)*(h + 8)
Let z(q) be the first derivative of -5*q**4/12 + 25*q**3/3 - 60*q**2 - 120*q - 103. Let b(r) be the first derivative of z(r). Factor b(d).
-5*(d - 6)*(d - 4)
Suppose -3*h + 256 = h. Let k(l) = -l**2 - 10*l - 13. Let o be k(-8). Let -16 - 142*m + m**2 - 13*m**2 + 28*m**4 - h*m**o + 206*m = 0. What is m?
-1, 2/7, 1, 2
Let h(q) be the third derivative of 7/24*q**4 + 0*q - 5 + 1/60*q**5 + 8*q**2 + 5/3*q**3. What is i in h(i) = 0?
-5, -2
Let g(y) be the third derivative of -y**6/120 + 801*y**5/20 - 481601*y**4/8 + 1442401*y**3/6 + 1015*y**2. Factor g(v).
-(v - 1201)**2*(v - 1)
Suppose -3*f + 36 = -3*a, -171*a = f - 175*a - 24. Let 0 + 4/3*s**3 - f*s**2 + 2*s**4 - 16/3*s = 0. Calculate s.
-2, -2/3, 0, 2
Let x(j) be the third derivative of j**6/80 + 2649*j**5/40 + 219453*j**4/2 + 438244*j**3 - 2*j**2 + 516*j + 4. Let x(p) = 0. What is p?
-1324, -1
Let s be ((-54)/36*(-4)/10)/((-42)/(-140)). Let 2*j**s + 20/3*j - 2/3*j**3 + 0 = 0. What is j?
-2, 0, 5
What is q in 136*q + 579*q**3 + 817*q**2 + 194*q + 3*q**5 - 78*q**4 - 1753*q**2 + 102*q = 0?
0, 1, 12
Let t(l) = 3*l - 15. Let n be t(5). Let g be 34 + 0 + n - 4. Factor -g*o**2 - 25*o**2 - 163*o**3 - 95*o + 158*o**3 + 180 - 25*o.
-5*(o - 1)*(o + 6)**2
Suppose 2*f + 657*x - 658*x = 3, 5*f + 2*x = 12. Factor -6/7*o + 3/7 + 3/7*o**f.
3*(o - 1)**2/7
Let d(b) be the second derivative of -b**7/840 + b**6/24 - 2*b**5/5 + 2*b**4 + 2*b + 22. Let a(s) be the third derivative of d(s). Factor a(z).
-3*(z - 8)*(z - 2)
Let h(i) = -5*i - 27. Let v be h(-6). Let z(p) = p**3 - p**2 - 12*p + 18. Let k be z(v). Factor k*o + 10/21*o**3 + 0 + 4/21*o**2.
2*o**2*(5*o + 2)/21
Let a be 144/(-120)*(-10)/6. Let t be 1/3 - (-28)/6. Factor -t - 3 + a*d**3 + d**2 - 4*d**2 + 9*d**2.
2*(d - 1)*(d + 2)**2
Let i(x) be the first derivative of -x**5/20 + 27*x**4/16 + 29*x**3/12 - 27*x**2/8 - 7*x + 570. Find q such that i(q) = 0.
-1, 1, 28
Suppose -20*g + 2*g + 54 = 0. Solve -18*a**2 - 4*a**3 + 4*a**3 + 3*a**g + 27*a = 0.
0, 3
Let y(h) = -11*h**4 + 52*h**3 - 181*h**2 + 150*h. Let x(t) = -t**4 + 2*t**3. Let o(q) = -10*x(q) + y(q). Factor o(w).
-w*(w - 25)*(w - 6)*(w - 1)
Let j(p) be the first derivative of -p**5/30 - 5*p**4/12 + 43*p**2 + 93. Let z(m) be the second derivative of j(m). Let z(d) = 0. Calculate d.
-5, 0
Let u = 88 - 74. Factor 4*t**2 - u*t + 8 + 0 + 7*t - 11*t.
2*(t - 4)*(2*t - 1)
Factor 336 + 4/5*k**2 - 208/5*k.
4*(k - 42)*(k - 10)/5
Let x(z) = 563*z + 50110. Let n be x(-89). What is b in 0 + 0*b**2 - 2/9*b**5 + 0*b + 4/9*b**4 + 2/3*b**n = 0?
-1, 0, 3
Let u(s) be the second derivative of -s**7/273 - 5*s**6/39 - 189*s**5/130 - 81*s**4/26 + 486*s**3/13 + 1437*s. Factor u(c).
-2*c*(c - 2)*(c + 9)**3/13
Let c be -3494 + 3492 - ((-10)/2 - 0). Factor -5/12*x**c + 17/12*x - 1/12*x**4 - 1 + 1/12*x**2.
-(x - 1)**2*(x + 3)*(x + 4)/12
Factor 9*x - 3/7*x**2 + 2838/7.
-3*(x - 43)*(x + 22)/7
Let k(j) be the first derivative of 22*j**2 + 52/3*j**3 + 43 - 24*j - 28/5*j**5 - 11*j**4. Find c, given that k(c) = 0.
-2, -1, 3/7, 1
Find i, given that 2*i**4 + 54*i**2 - 8*i**2 - 26*i**2 - 2*i**4 + i**4 + 21*i**3 = 0.
-20, -1, 0
Let m be (1 - (3 + 1))/(93/(-93)). Let x(b) be the first derivative of -1/10*b**2 + 17 - 2/5*b + 1/15*b**m. Determine y, given that x(y) = 0.
-1, 2
Factor -3/5*f**3 + 4437/5*f**2 + 0*f + 0.
-3*f**2*(f - 1479)/5
Let x = -120 - -122. Let k be -1*(-11 - -9 - x). Find f such that 0 - 15/2*f**2 - 3*f - 21/2*f**5 + 15/2*f**k + 27/2*f**3 = 0.
-1, -2/7, 0, 1
Let p(x) be the first derivative of -1/10*x**5 - 1/8*x**4 + 7*x**2 + 2*x**3 - 14 + 8*x. Factor p(s).
-(s - 4)*(s + 1)*(s + 2)**2/2
Let y(t) be the first derivative of 1/156*t**4 + 6*t**2 - 1/390*t**5 + 6 + 2/39*t**3 + 0*t. Let z(o) be the second derivative of y(o). What is r in z(r) = 0?
-1, 2
Let l = 0 - 6. Let s(r) = r**3 + 5*r**2 - 5*r + 9. Let a be s(l). Factor -5 - 312*k + 302*k - 7*k**3 - 13*k**a + 35*k**2.
-5*(k - 1)**2*(4*k + 1)
Let g = -318 - -318. Let n(f) be the third derivati