e (1 - 0)*(28/4 + -7). Let z be u/((-10)/1 + 7). Solve 3/5*a**3 + z - 2/5*a**4 + 4/5*a - 1/5*a**5 + 8/5*a**2 = 0 for a.
-2, -1, 0, 2
Let w(n) = 50157*n + 401258. Let d be w(-8). Let y be (-1)/6*(-18)/4. Solve 0*z + y*z**d - 3 = 0.
-2, 2
Let a(s) be the second derivative of -s**7/280 - s**6/24 + 7*s**5/20 + 17*s**3/6 + 53*s + 1. Let q(x) be the second derivative of a(x). Solve q(w) = 0 for w.
-7, 0, 2
Suppose -3*a = -2*n - 3, 0 = -3*n - 2*n - 3*a + 24. Factor 34*v**4 + 0*v**3 - 6 + 28*v**4 - n*v - 65*v**4 + 9*v**2 + 3*v**3.
-3*(v - 2)*(v - 1)*(v + 1)**2
Let m(k) = 9*k**2 + 2435*k - 4892. Let o(s) = -3*s**2 - 811*s + 1630. Let b(x) = -2*m(x) - 7*o(x). Factor b(p).
3*(p - 2)*(p + 271)
Let d(l) be the second derivative of l**4/27 - 170*l**3/9 + 508*l**2/9 + 144*l + 5. Solve d(o) = 0.
1, 254
Let n(g) be the third derivative of -17*g**2 + g + 0 - 19/12*g**4 + 14/3*g**3 + 2/15*g**5 + 1/60*g**6. Factor n(x).
2*(x - 2)*(x - 1)*(x + 7)
Suppose 2204*r - 1821606 - 2/3*r**2 = 0. What is r?
1653
Factor 0*i**4 - 203550*i**2 - i**4 + 33423752 - 4*i**4 - 1755*i**3 - 7588580*i - 8778272.
-5*(i - 3)*(i + 118)**3
Let x(a) be the second derivative of -a**7/14 - 17*a**6/5 - 957*a**5/20 - 239*a**4/2 + 160*a**3 + 768*a**2 + 171*a + 1. Find y such that x(y) = 0.
-16, -2, -1, 1
Let g(i) = -5*i**2 + 138*i - 313. Let p(f) = -56*f**2 + 1510*f - 3442. Let n(q) = -68*g(q) + 6*p(q). Determine v so that n(v) = 0.
2, 79
Let m(z) = -3*z**4 + z**3 - z**2 + 2*z - 2. Let y(d) = 10*d**4 + 42*d**3 - 92*d**2 - 51*d + 100. Let x(l) = 3*m(l) + y(l). Determine f, given that x(f) = 0.
-47, -1, 1, 2
Suppose 2*o = 4, 4*f - o = -2*o + 10. Suppose 0*v + v = -b + 12, f*v = -3*b + 31. Suppose -9*a - 8*a + 3*a**2 + b*a - 8*a = 0. What is a?
0, 6
Let h(l) be the first derivative of -273*l**4/2 - 2180*l**3/3 + 8*l**2 - 1731. Factor h(n).
-2*n*(n + 4)*(273*n - 2)
Let f be 23/((-3933)/(-702)) + (-4)/38. Factor 2*i**f + 93 + 15*i**5 - 17*i**5 - 93 + 2*i**3 - 2*i**2.
-2*i**2*(i - 1)**2*(i + 1)
Let 0*g**2 + 47089/2*g**3 + 1/2*g**5 + 0*g - 217*g**4 + 0 = 0. Calculate g.
0, 217
Let w(q) be the first derivative of 4*q**3/63 + 67*q**2/21 - 68*q/21 - 74. Factor w(d).
2*(d + 34)*(2*d - 1)/21
Suppose -g + 3*g = 118. Determine u so that -58*u**4 + 4*u**5 + 96 - g*u**4 + 156*u**3 + 296*u**2 + 272*u + 157*u**4 = 0.
-3, -2, -1
Let g = 251/4664 - 9/212. Let s(r) be the third derivative of -1/660*r**5 - 14*r**2 + 0*r + 0 + 0*r**3 - g*r**4. Factor s(h).
-h*(h + 3)/11
Let h(r) be the second derivative of r**6/24 + r**5/4 - 5*r**4/24 - 5*r**3/2 + 33*r**2/2 - 201*r. Let o(g) be the first derivative of h(g). Factor o(y).
5*(y - 1)*(y + 1)*(y + 3)
Let j(s) be the first derivative of 33 + 2*s**2 + 0*s - 4/3*s**3. Let j(u) = 0. What is u?
0, 1
Factor -16/5*q**3 - 1/5*q**4 + 147 + 112/5*q - 62/5*q**2.
-(q - 3)*(q + 5)*(q + 7)**2/5
Let z(s) = 2*s**3 - 2790*s**2 - 5768*s - 2794. Let q(l) = l**3 - 930*l**2 - 1919*l - 932. Let y(c) = 13*q(c) - 4*z(c). Factor y(d).
5*(d - 188)*(d + 1)**2
Let m be (18 + -37 + 19)*1/(-4). Let n(c) be the third derivative of 0*c**3 + 1/600*c**6 + 10*c**2 + m*c + 0*c**4 + 0 - 1/300*c**5. Factor n(p).
p**2*(p - 1)/5
Suppose 0*c + 9 = 3*c. Suppose -c*u - 3 = -3*n, -2*u - 4 - 2 = -3*n. What is w in -1 - 7 - 5*w - 4*w + 21*w - n*w**3 = 0?
-2, 1
Let b(p) = 26*p - 232. Let d be b(9). Solve -10*i - 200*i**5 - 81*i**3 - 519*i**3 + 665*i**4 - 117*i**d + 262*i**2 = 0 for i.
0, 1/8, 1/5, 1, 2
Let i(n) be the first derivative of -3/5*n + 1/5*n**3 - 1/10*n**2 - 38 + 1/20*n**4. Factor i(r).
(r - 1)*(r + 1)*(r + 3)/5
Let r be (-10)/(((-256)/4)/(-8)). Let f = 185/12 - r. Suppose -2/3*o**2 - f + 20/3*o = 0. What is o?
5
Let w be ((-234)/8)/(6*(-11)/352). Find v, given that 16*v + w*v**2 + 166*v**2 - 321*v**2 + 28 = 0.
-14, -2
Let q(a) be the first derivative of -1/3*a**4 - 20*a + 28/9*a**3 + 34 - 14/3*a**2. Find w such that q(w) = 0.
-1, 3, 5
Let n = 38/115 + -3/23. Let a(b) = 2*b**3 + 95*b**2 - 525*b + 3. Let w be a(5). Factor 1/5*v**w - 1/5*v**2 - n*v + 1/5*v**4 + 0.
v*(v - 1)*(v + 1)**2/5
Let b(p) be the third derivative of -2*p - 5/3*p**3 + 0 - 7/24*p**4 - 134*p**2 + 1/120*p**6 + 1/15*p**5. Determine d, given that b(d) = 0.
-5, -1, 2
Let n(u) be the second derivative of -u**5/30 + u**4 + 205*u**3/9 - 250*u**2 - 38*u. Solve n(z) = 0.
-10, 3, 25
Factor -6 - 1/2*i**3 + 11/2*i + i**2.
-(i - 4)*(i - 1)*(i + 3)/2
Let z(t) be the first derivative of 28/9*t**2 + 76/27*t**3 + 25/18*t**4 + 16/9*t - 17 + 16/45*t**5 + 1/27*t**6. Factor z(a).
2*(a + 1)**2*(a + 2)**3/9
Let t = 33127/7 - 4717. Determine a, given that -4*a**4 - 8/7 - 52/7*a - t*a**2 - 92/7*a**3 = 0.
-1, -2/7
Let a(d) be the second derivative of 19*d**2 - 17/3*d**3 - 237*d - 1/3*d**4 + 0. What is t in a(t) = 0?
-19/2, 1
Let u(l) = l**3 - l**2 + 2*l + 1. Let v(g) = -10*g**3 + 21*g**2 + 9*g + 19. Let d(b) = 22*u(b) + 2*v(b). Factor d(j).
2*(j + 2)*(j + 3)*(j + 5)
Let m(y) be the first derivative of 3*y**4/16 - 3*y**3/2 - 135*y**2/8 + 243*y/2 - 6227. Factor m(r).
3*(r - 9)*(r - 3)*(r + 6)/4
Let x(h) be the first derivative of h**5/10 - h**4 + 4*h**3 - 8*h**2 + 67*h - 108. Let l(k) be the first derivative of x(k). What is u in l(u) = 0?
2
Suppose 6*g = -4*f + 10, -2*g + 4 = 86*f - 85*f. Let q(b) be the first derivative of 0*b - g*b**2 + 3/2*b**4 + 3/5*b**5 - b**3 - 14. Factor q(a).
3*a*(a - 1)*(a + 1)*(a + 2)
Let t(x) be the second derivative of x**4/3 - 168*x**3 + 1000*x**2 + 19*x + 129. Factor t(u).
4*(u - 250)*(u - 2)
Let c(w) = 19*w**2 - 4398*w - 8196. Let s(t) = -9*t**2 + 2199*t + 4122. Let p(i) = 6*c(i) + 13*s(i). Factor p(j).
-3*(j - 735)*(j + 2)
Factor 2/9*p**2 + 0 - 790/3*p.
2*p*(p - 1185)/9
Let w(r) be the second derivative of 3993*r**5/20 + 1815*r**4 + 6600*r**3 + 12000*r**2 - 497*r. Determine b so that w(b) = 0.
-20/11
Suppose 0 = -4*c - t - 31 + 26, -c = 2*t + 3. Let d be (-5 - -7)/(-10)*(c + 1). Factor -8/3*z**4 + d + 2/3*z**2 - 2*z**3 + 0*z.
-2*z**2*(z + 1)*(4*z - 1)/3
Let f(v) be the first derivative of -2*v**5/55 + 53*v**4/11 - 42*v**3 + 186. Factor f(h).
-2*h**2*(h - 99)*(h - 7)/11
Factor 30*z - 108 - 3/4*z**2.
-3*(z - 36)*(z - 4)/4
Let p(c) be the first derivative of c**3/3 - 386*c**2 + 2307*c - 1284. Solve p(w) = 0 for w.
3, 769
Let a(p) be the second derivative of 87*p**5/20 + 59*p**4/2 + 95*p**3/2 + 9*p**2 - 5078*p. Find q such that a(q) = 0.
-3, -1, -2/29
Let l(u) be the second derivative of -2*u**7/63 - 5*u**6/27 + 11*u**5/9 + 295*u**4/54 + 190*u**3/27 + 8*u**2/3 - 8*u + 123. Find p, given that l(p) = 0.
-6, -1, -1/6, 4
Let u = -105651 + 105651. Determine j so that -3/2*j**5 + 0*j + 9/2*j**3 + 0 + u*j**2 + 3*j**4 = 0.
-1, 0, 3
Let n = 31/11 - 359/143. Let p(u) = -u**2 + 13*u + 2. Let d be p(13). Suppose -6/13*g - n - 2/13*g**d = 0. Calculate g.
-2, -1
Let t(d) = -11*d**2 + 6*d + 8. Let n(m) = 16 + 454*m - 889*m - 26*m**2 + 446*m. Let g(u) = 3*n(u) - 7*t(u). Solve g(o) = 0 for o.
-8, -1
Let x(r) = r**4 - 50*r**3 + 634*r**2 - 3726*r + 7889. Let k(o) = 3*o**4 - 153*o**3 + 1904*o**2 - 11179*o + 23667. Let t(p) = 4*k(p) - 14*x(p). Factor t(g).
-2*(g - 23)*(g - 7)**3
Factor -t**2 - 158903*t + 158937*t - t**2.
-2*t*(t - 17)
Let a(y) be the first derivative of 2*y**6/15 - 9*y**5/20 + y**4/6 - 32*y + 35. Let n(o) be the first derivative of a(o). Factor n(m).
m**2*(m - 2)*(4*m - 1)
Find y such that 1079*y**2 - 531*y**2 - 3054*y - 545*y**2 = 0.
0, 1018
Find u, given that -75*u + u - 320*u**3 - 685*u**2 - 65*u + 165*u**4 - 105*u**4 + 34*u = 0.
-3/2, -1/6, 0, 7
Let a(x) be the second derivative of 0 - 100*x - 7/4*x**2 - 1/9*x**3 + 1/72*x**4. Let a(z) = 0. Calculate z.
-3, 7
Solve 130*b**4 - 5*b + 6 - 35*b**5 - 17*b**3 - 6 + 57*b**3 + 30*b**2 - 160*b**4 = 0 for b.
-1, 0, 1/7, 1
Let p(w) be the third derivative of -7*w**6/300 + 1577*w**5/25 - 266344*w**4/5 - 913952*w**3/15 - 1724*w**2. Solve p(j) = 0.
-2/7, 676
Let o(b) be the first derivative of -35*b**3/3 + 5415*b**2/2 + 1550*b - 1594. Suppose o(n) = 0. What is n?
-2/7, 155
Let 2/3*s**2 - 16/3*s - 102 = 0. Calculate s.
-9, 17
Suppose -14/11*f**2 - 436/11*f - 62/11 = 0. Calculate f.
-31, -1/7
Let n(v) be the third derivative of v**5/180 - 449*v**4/9 + 1612808*v**3/9 - v**2 + 499. Factor n(s).
(s - 1796)**2/3
Factor -40/3 + 1/6*w**3 - 19/6*w**2 + 49/3*w.
(w - 10)*(w - 8)*(w - 1)/6
Suppose 66*u - 188 =