lve 0 + 0*f**2 + 0*f + 1/5*f**4 + 7*f**3 = 0.
-35, 0
Let i(x) be the first derivative of 21/2*x**2 + 28 - 3/5*x**5 - 9/4*x**4 + 3*x**3 - 18*x. Factor i(q).
-3*(q - 1)**2*(q + 2)*(q + 3)
Factor -1160/11 + 2/11*k**2 - 96/11*k.
2*(k - 58)*(k + 10)/11
Let m(y) = 21*y**2 - 28*y - 8. Let i(s) = -10*s**2 + 14*s + 4. Let x = -10 + 17. Suppose -x*q = -31 + 3. Let o(k) = q*m(k) + 10*i(k). Factor o(n).
-4*(n - 2)*(4*n + 1)
Let b(i) be the third derivative of -i**6/72 + i**5/24 + 5*i**4/4 + 14*i**3/3 + i**2 + 37. Let o(d) be the first derivative of b(d). Factor o(z).
-5*(z - 3)*(z + 2)
Let b(q) = q**2 + 24*q - 30. Let s be b(-26). Factor 16*a**2 - s*a**2 + 8 - 6*a - 4*a - 3*a**3 + 13*a**3 - 2*a**4.
-2*(a - 4)*(a - 1)**2*(a + 1)
Factor 95780070*f + 300065234 - 5824998 + 97820690*f - 2101704*f**2 + 5024*f**3 + f**4 - 5*f**4 + 98532744*f.
-4*(f - 419)**3*(f + 1)
Let j(b) be the second derivative of 46*b**7/21 - 686*b**6/45 + 266*b**5/15 + 8*b**4/9 + 23*b + 10. Let j(z) = 0. What is z?
-2/69, 0, 1, 4
Let l(m) be the second derivative of m**4/42 + 31*m**3/21 + 12*m**2 + 1821*m. Factor l(w).
2*(w + 3)*(w + 28)/7
Let h = 363 - 351. Factor h - 24*m**3 + 6*m**2 + 6*m**2 + 56*m**2 - 56*m.
-4*(m - 1)*(2*m - 3)*(3*m - 1)
Let l = 754 - 41466/55. Let c(z) be the first derivative of 0*z**4 - l*z**5 + 1/33*z**6 + 20 + 4/33*z**3 + 0*z - 1/11*z**2. Factor c(y).
2*y*(y - 1)**3*(y + 1)/11
Solve -6*l - 1/4*l**4 - 35/4*l**2 - 3*l**3 + 0 = 0 for l.
-8, -3, -1, 0
Let l(c) be the first derivative of -c**4/28 - 13*c**3/3 - 19*c**2 - 176*c/7 - 3878. What is n in l(n) = 0?
-88, -2, -1
Suppose -4*p**2 + 0*p + 0 + 422/3*p**3 + 142/3*p**4 = 0. Calculate p.
-3, 0, 2/71
What is f in -122*f**3 - 123*f**2 - 18*f**4 + 206*f**2 - 287*f**2 = 0?
-34/9, -3, 0
Let t be (-228)/(-4) + (-2 - (-8)/(-8)). Let u be (81/(-243))/((-5)/t). Factor -81/5 + u*a - 1/5*a**2.
-(a - 9)**2/5
Factor -21*c**3 + 44*c - 187*c**2 - 5 + 168*c**2 + 1.
-(c - 1)*(c + 2)*(21*c - 2)
Let w(y) be the second derivative of -2 + y**4 + 1/60*y**6 - 9/40*y**5 - 10*y - 5/3*y**3 + 0*y**2. Find t, given that w(t) = 0.
0, 2, 5
Let n(w) be the second derivative of -1 + 1/22*w**3 - 1/11*w**2 + 125*w - 1/132*w**4. What is f in n(f) = 0?
1, 2
Let b(z) be the first derivative of -z**4/16 - 11*z**3/2 + 277*z**2/8 - 105*z/2 + 3639. Find s, given that b(s) = 0.
-70, 1, 3
Factor -3/5*h**2 + 57*h - 282/5.
-3*(h - 94)*(h - 1)/5
Let k(s) be the third derivative of -11*s**6/120 - 113*s**5/60 + 39*s**4/4 + 12*s**3 - 36*s**2 + s + 103. Factor k(g).
-(g - 2)*(g + 12)*(11*g + 3)
Let p(a) be the third derivative of 2 - 8/5*a**3 + 0*a - 1/100*a**5 - 26*a**2 + 17/40*a**4. Factor p(s).
-3*(s - 16)*(s - 1)/5
Suppose -306*t + 40*t = -798. Let m(s) be the second derivative of 0 + 1/12*s**t + 1/80*s**5 - 1/16*s**4 + 2*s + 0*s**2. Determine n so that m(n) = 0.
0, 1, 2
Let t(f) be the second derivative of -f**5/130 - 5*f**4/39 + 308*f**3/39 + 3528*f**2/13 + 2581*f. Factor t(u).
-2*(u - 18)*(u + 14)**2/13
Let x(t) = 2*t**3 + 60*t**2 + 59*t + 31. Let n be x(-29). Let -92*u - 264*u**4 - 589*u**3 - 48*u**5 - 360*u**2 - 28*u - 12 + 82*u**3 - 39*u**n = 0. Calculate u.
-2, -1, -1/4
Let v = -13661 - -368849/27. Let x(l) be the first derivative of -v*l**3 - 26 + 4/9*l**2 + 0*l. Factor x(o).
-2*o*(o - 4)/9
Let p(u) = 2*u**3 - 5742*u**2 - 2741820*u - 436861414. Let q(b) = -3*b**3 + 5743*b**2 + 2741822*b + 436861415. Let n(r) = 7*p(r) + 6*q(r). Solve n(w) = 0 for w.
-478
What is i in 0 - 1/2*i + 3/4*i**4 + 13/4*i**2 - 23/4*i**3 + 9/4*i**5 = 0?
-2, 0, 1/3, 1
Let x = -646 - -640. Let q be (1 + 7 - 0)/(x/(-5)). Let -q*f - 25/3 + 5/3*f**2 = 0. What is f?
-1, 5
Suppose 105*f = -11139 + 18069. Find v such that -15/2*v**3 - f*v + 46*v**2 + 8 = 0.
2/15, 2, 4
Suppose 978*v - 219*v = 0. Factor -8/15*r**2 - 2/15*r**5 + 2/5*r**4 + v*r + 0 + 0*r**3.
-2*r**2*(r - 2)**2*(r + 1)/15
Suppose 0 = 14*u + 3 - 59. Suppose 4*v = -0*v + z + 19, -10 = -5*v + u*z. Factor -12*b + 15*b**2 - 239*b**3 + 231*b**3 + 11*b**2 - v*b**4.
-2*b*(b - 1)*(b + 3)*(3*b - 2)
Let -548/5*o**2 - 79/5 + 46*o**3 + 3/5*o**4 + 394/5*o = 0. Calculate o.
-79, 1/3, 1
Let t(g) be the second derivative of 2*g**6/3 - 81*g**5/4 - 190*g**4/3 - 75*g**3/2 + 55*g**2 - 2476*g. Determine q so that t(q) = 0.
-1, 1/4, 22
Let a be (-9*(-11)/66)/(3/1190). Solve 7*w**2 + 2*w**4 + 4*w - 15*w**2 + 591*w**3 + 6 - a*w**3 = 0 for w.
-1, 1, 3
Suppose -4*b + 4*b = 2*b. Suppose b = 4*q - 4*p - 16, 5*q + 2*p - 12 = 3*p. Let -2 + 22 - 8 - 2*g - 2*g**q = 0. What is g?
-3, 2
Let p(i) be the second derivative of -1/4*i**5 + 0 + 0*i**2 - 25/6*i**4 + 32*i + 65/2*i**3. Solve p(y) = 0.
-13, 0, 3
Let m = 32857/38129 + -25/5447. Solve 9/7 - 3/7*k**2 - m*k = 0.
-3, 1
Let z(f) be the third derivative of f**5/20 - 37*f**4/8 - 39*f**3 + f**2 - 10*f - 4. Factor z(k).
3*(k - 39)*(k + 2)
Let a(z) be the second derivative of -z**4/78 + 664*z**3/39 - 110224*z**2/13 + 137*z - 3. Let a(h) = 0. What is h?
332
Let q = 148 - 144. Let -29*r**4 + 110*r**3 - 17*r**3 - 34*r**q - 6*r**2 + 18*r**4 = 0. What is r?
0, 1/15, 2
Let c(q) = 3*q**4 + 30*q**3 + 15*q**2 - 60*q + 36. Let b(n) = n**2 + n - 177 + 355 + n**3 - 179. Let x(k) = -12*b(k) + c(k). Factor x(t).
3*(t - 1)**2*(t + 4)**2
Let 2/7*y**5 + 0 + 2/7*y**4 - 24/7*y**3 + 8/7*y**2 + 32/7*y = 0. What is y?
-4, -1, 0, 2
Let r(c) be the second derivative of 1/270*c**5 + 0 - 18*c + 49/27*c**3 + 3*c**2 - 7/54*c**4. Let o(u) be the first derivative of r(u). What is w in o(w) = 0?
7
Let t be ((-48)/(-4))/(-2)*2*(266/(-84) + 3). Factor -2/3*p**4 - 4*p**3 - 2*p**t + 0 + 20/3*p.
-2*p*(p - 1)*(p + 2)*(p + 5)/3
Let n(k) = 29*k**2 - 22*k + 66. Let i(f) = 13*f**2 - 11*f + 32. Let t(x) = 9*i(x) - 4*n(x). Let t(u) = 0. Calculate u.
3, 8
Let j = 11/14008 - -448223/42024. Factor 24 - j*p - 2/3*p**2.
-2*(p - 2)*(p + 18)/3
Suppose 24*l - 17*l = 70. Factor -124*v + 74*v + 8*v**3 + 0*v**3 + 2*v**4 - 100*v - l*v**2 + 6*v**3.
2*v*(v - 3)*(v + 5)**2
Let f be (981/1308)/(1 + 2/4). Let c(t) be the first derivative of 1/9*t**3 - 4/3*t + f*t**2 - 11. Factor c(y).
(y - 1)*(y + 4)/3
Suppose 4*x = 3*d + d - 404, -5*x = 5*d + 455. Let c = x + 99. Find o such that 0*o**5 - c*o**4 + 3*o**5 - 7*o**5 - o**4 + 8*o**3 = 0.
-2, 0, 1
Let l be ((-6624)/9108)/((-26)/220). Solve 24/13 - 62/13*x**2 - l*x - 8/13*x**3 = 0 for x.
-6, -2, 1/4
Let n(z) = -3*z**4 + 297*z**3 + 1185*z**2 + 1497*z + 594. Let q(c) = -8*c**4 + 893*c**3 + 3558*c**2 + 4490*c + 1782. Let o(r) = -17*n(r) + 6*q(r). Factor o(i).
3*(i + 1)**2*(i + 2)*(i + 99)
Suppose 5*t + 2*f = 14 + 22, -4*t = -4*f - 40. Suppose t*s + 3*s - 33 = 0. Determine c so that 1/2*c**5 + 0 - c - 7/4*c**3 - s*c**2 + 3/4*c**4 = 0.
-2, -1, -1/2, 0, 2
Let u(w) = w**3 + 30*w**2 + 26*w - 43. Let f be u(-29). Factor -16*q**4 - 34*q + 40*q**3 - 9*q**2 - 1 + 9*q**2 - 23*q**2 - 10*q**2 + f*q.
-(q - 1)**2*(4*q - 1)**2
What is q in 58018*q**4 + 967*q**2 + 736 + 1320*q - 267*q**2 + 120*q**3 - 58014*q**4 = 0?
-23, -4, -2, -1
Let u(d) = -d**2 - 11*d + 7. Let j be u(-11). Suppose -3*m = h + j, -3*h + 3*m = -7 - 8. Suppose 0*s**h + 0 - 2/11*s**3 + 2/11*s**4 + 0*s = 0. Calculate s.
0, 1
Let a(o) be the third derivative of -4*o**6/15 + 44*o**5/75 + o**4/20 - 6*o**3/5 + 9*o**2 + 208*o + 2. Suppose a(c) = 0. Calculate c.
-2/5, 3/4
Let z be (-1)/(4 + 293/(-73)). Let h = z + -69. Factor 2*v**5 - 13*v**h + 2*v**2 + 11*v**4 - v**5 - v + 0*v**2.
v*(v - 1)**3*(v + 1)
Let n be 258/20 + (50 - 62). Let i(p) be the second derivative of 1/100*p**5 + 3/20*p**4 + n*p**3 - 8*p + 27/10*p**2 + 0. Find k, given that i(k) = 0.
-3
Factor 0 + 183/7*n - 369/7*n**2 - 3/7*n**4 + 27*n**3.
-3*n*(n - 61)*(n - 1)**2/7
Let w = 191 + -881. Let h = 690 + w. Suppose 2/9*l**3 + h*l + 0 + 4/9*l**2 = 0. Calculate l.
-2, 0
Let h(f) be the third derivative of f**6/300 + 85*f**5/2 + 903125*f**4/4 + 1919140625*f**3/3 - 25*f**2 + 67*f - 1. Factor h(o).
2*(o + 2125)**3/5
Let u be 48/10*40/12. Suppose -u*b - 39 = -29*b. Factor 121/5*s**b + 0 + 44/5*s**2 + 4/5*s.
s*(11*s + 2)**2/5
Let x(w) = w**3 + 4*w**2 - 5*w - 7. Let j be x(-4). Factor 8 + 3*h - 36*h**2 - j*h**3 + 14*h**2 + 8*h**2 + h - 3*h**4.
-(h + 1)*(h + 2)**2*(3*h - 2)
Let i(h) be the first derivative of -h**5/5 - 4*h**4/3 + 37*h**3/9 + 7*h**2/3 + 919. Determine k, given that i(k) = 0.
-7, -1/3, 0, 2
Let t = 10 + -8. Suppose -