actor -31250/3 + 500/3*d - 2/3*d**2.
-2*(d - 125)**2/3
Let p be 99/(-693) - 1255*4/14. Let r = 361 + p. Suppose -r*c + 0 - 2/7*c**2 = 0. Calculate c.
-8, 0
Let m = -177/107 - -87547/1177. Determine g so that 2/11*g**2 + m - 80/11*g = 0.
20
Let v be 15/(-10)*(-20)/(-6). Let r(m) = 12*m + 60. Let j be r(v). Factor -12*u**3 + 48*u + 46 + j*u**2 - 78 - 2*u**4 - 2*u**2.
-2*(u - 1)**2*(u + 4)**2
Suppose 749/3*x + 18*x**2 + 1/3*x**3 + 232 = 0. Calculate x.
-29, -24, -1
Let k(l) = -l**3 - 15*l**2 + 75*l + 21. Let o be k(-19). Let t = 121/3 - o. Factor t*g**2 - 1/3 - 1/3*g**3 + 1/3*g.
-(g - 1)**2*(g + 1)/3
Let v be ((-12)/11 - ((-74060)/(-1848) + -33)) + 9. Let z = -2 + 5. Factor -1/6*d**4 - 2/3*d - v*d**z - 4/3*d**2 + 0.
-d*(d + 1)*(d + 2)**2/6
Let x = -266 + 270. Find o such that 30*o + x*o**3 + 23*o**2 - 4*o**2 + 9*o**2 + 2*o - 64 = 0.
-4, 1
Let o(w) be the second derivative of 1/12*w**3 + 0 - 3/32*w**4 + 1/60*w**5 + 5*w + 5/2*w**2. Let s(z) be the first derivative of o(z). Factor s(x).
(x - 2)*(4*x - 1)/4
Let n(q) be the first derivative of q**6/120 - q**5/20 + q**4/16 - 102*q - 336. Let y(t) be the first derivative of n(t). Solve y(w) = 0 for w.
0, 1, 3
Let h be (-89)/(-14) + 11187/(-2034). Factor h*c + 4/7 + 2/7*c**2.
2*(c + 1)*(c + 2)/7
Let l(t) be the first derivative of 0*t + 9/5*t**5 - 36 + 3/4*t**4 - 3*t**3 - 3*t**2 + 1/2*t**6. Factor l(b).
3*b*(b - 1)*(b + 1)**2*(b + 2)
Let t be (95 - 5795/61)/(3*-3). Factor -9*r - 1/2*r**2 + t.
-r*(r + 18)/2
Suppose 22*p - 31*p + 522 = 0. Factor -256*s - s**4 + p*s**2 - 154*s**2 - s**3 - 15*s**3 + 0*s**4 - 256.
-(s + 4)**4
Let a = -27638 - -27640. Let 3*r**a + 9/4*r**5 + 0 - 3*r**3 + 0*r - 15/4*r**4 = 0. What is r?
-1, 0, 2/3, 2
Let u be 5*72/30 - (-41 - -53). Suppose 22/13*c**2 - 4/13*c + u - 18/13*c**3 = 0. What is c?
0, 2/9, 1
Let t = 1650 - 1395. Let m be 15/t*(-2 + -3 + 7). Find x, given that 0 - 12/17*x + 14/17*x**2 - m*x**3 = 0.
0, 1, 6
Let t(h) be the third derivative of h**7/1470 + h**6/60 + h**5/12 - 25*h**4/84 - 1608*h**2. Let t(g) = 0. Calculate g.
-10, -5, 0, 1
Let z(k) = k**3 + k**2 - 10*k. Let q be z(3). Factor -6*o**5 - 12*o**4 + 3*o**5 + 6*o**5 - q*o**2 + 15*o**3.
3*o**2*(o - 2)*(o - 1)**2
Let o(g) = -g**4 - 21*g**3 - 153*g**2 - 514*g - 633. Let s(x) = x**2 + 2*x + 1. Let n(d) = -2*o(d) + 14*s(d). Determine h, given that n(h) = 0.
-8, -5, -4
Let b(r) be the first derivative of -r**6/9 + 2*r**5/15 + 19*r**4/24 + 7*r**3/9 + r**2/4 + 5624. What is y in b(y) = 0?
-1, -1/2, 0, 3
Suppose 16*w = n + 13*w - 14, 14 = 4*n + 2*w. Let m(t) be the first derivative of n + 1/11*t**4 - 2/11*t**2 - 2/11*t + 0*t**3 + 2/55*t**5. Factor m(l).
2*(l - 1)*(l + 1)**3/11
Let v(j) be the first derivative of -j**3/8 + 15*j**2/2 - 117*j/8 + 1575. Solve v(y) = 0.
1, 39
Let f(g) be the first derivative of g**8/19320 + g**7/966 + 11*g**6/1380 + 3*g**5/115 + 54*g**3 - 346. Let c(i) be the third derivative of f(i). Factor c(s).
2*s*(s + 3)**2*(s + 4)/23
Let x(h) be the third derivative of h**5/210 - 86*h**4/21 - 347*h**3/7 + 44*h**2 - 52. Let x(s) = 0. Calculate s.
-3, 347
Let u(b) = -2*b**2 + 994*b - 124004. Let z(p) = -6*p**2 + 2981*p - 372013. Let i(t) = 14*u(t) - 4*z(t). Let i(j) = 0. What is j?
249
What is l in 6480*l - 3*l**2 - 1933171 - 2146918 + 580889 = 0?
1080
Let m(b) be the first derivative of 2*b**3/27 + 37*b**2/9 + 224*b/3 + 629. Find q such that m(q) = 0.
-21, -16
Let p(d) be the second derivative of 34/7*d**2 - 3 - 1/21*d**4 - 32/21*d**3 - 39*d. Factor p(k).
-4*(k - 1)*(k + 17)/7
Suppose o = -5*k - o + 10, 4*k + 5*o - 25 = 0. Suppose k = -6*u - 8 + 20. Determine l so that 4*l**u + 2*l - 6*l**2 + 2*l**3 + 6*l**2 = 0.
-1, 0
Let h(n) be the first derivative of -4*n**5/45 + 20*n**4/9 + 112*n**3/3 - 1152*n**2 - 14163. Suppose h(o) = 0. Calculate o.
-16, 0, 18
Factor 112 + 6*a + 35*a + 2*a**3 + 38*a**2 + 108*a - a.
2*(a + 1)*(a + 4)*(a + 14)
Factor 181/8*k - 1/8*k**2 + 0.
-k*(k - 181)/8
Let x(h) = -5*h**2 - 12*h - 9. Let k(u) = -4*u**2 - 10*u - 8. Let y(l) = 6*k(l) - 5*x(l). Let i(o) = 8*o**2 + 28*o - 12. Let d(n) = -i(n) + 4*y(n). Factor d(j).
-4*j*(j + 7)
Factor 142*l**2 - 90*l + 216*l**3 - 134*l + 1170 + 86*l - 660*l - 218*l**3.
-2*(l - 65)*(l - 3)**2
Let n(v) be the third derivative of -v**5/60 + 1571*v**4/12 - 2468041*v**3/6 + 101*v**2 + 22. Factor n(f).
-(f - 1571)**2
Let h(q) be the third derivative of 0*q**4 - 1/40*q**5 + 0 - 1/360*q**6 + 2*q**3 + 21*q**2 + 0*q. Let p(x) be the first derivative of h(x). Factor p(l).
-l*(l + 3)
Suppose -289*t + 876 = -379 + 99. Let d(p) be the first derivative of -3/7*p**2 - 4/7*p + 1/14*p**t - 13 + 0*p**3. Factor d(a).
2*(a - 2)*(a + 1)**2/7
Let z(l) = -l**2 + l. Suppose 0 = -2*h - 7 + 3, 4*i - 5*h - 26 = 0. Let t(c) = -3*c**2 - i - 4 + 0 + 3. Let y(g) = t(g) - 4*z(g). Factor y(v).
(v - 5)*(v + 1)
Let p(b) be the first derivative of -b**5/180 + b**4/72 + b**3/3 - 13*b**2/2 - 6*b - 158. Let f(w) be the second derivative of p(w). Let f(a) = 0. Calculate a.
-2, 3
Let p(i) be the third derivative of -i**7/2520 + i**6/60 + 7*i**5/30 - 5*i**4/6 - i**3/6 - 73*i**2. Let c(w) be the second derivative of p(w). Solve c(n) = 0.
-2, 14
Let u = -597 - -604. Let o(m) be the second derivative of 1/3*m**4 + 1/5*m**2 + 0 - 1/105*m**u + 1/15*m**6 - 1/3*m**3 + m - 1/5*m**5. Let o(n) = 0. Calculate n.
1
Factor -65*w**4 + 14686*w**3 - 472*w - 2*w**5 - 15052*w**3 + w**5 - 716*w**2.
-w*(w + 2)**3*(w + 59)
Let w(n) = -147*n**3 + 3105*n**2 + 3120*n - 33. Let g(q) = -9*q**3 + 194*q**2 + 195*q - 2. Let a(d) = -33*g(d) + 2*w(d). Factor a(z).
3*z*(z - 65)*(z + 1)
Let h(o) be the first derivative of -9*o**6/280 + o**5/5 - o**4/14 + 2*o**3/3 - 16*o + 267. Let d(q) be the third derivative of h(q). Factor d(v).
-3*(v - 2)*(27*v - 2)/7
Let y(v) = v**3 - v**2 - v - 1. Let b be -1*2/(-4)*8 + 0. Let o(r) = -2*r**3 + 14*r**2 - 22*r + 12. Let w(s) = b*y(s) + 4*o(s). Solve w(t) = 0.
1, 11
Let c(v) = -11*v**4 - 13*v**3 + 21*v**2 + 58*v - 106. Let l(i) = -4*i**4 + i**3 - i**2 - 2*i + 2. Let u(n) = c(n) - 3*l(n). Factor u(w).
(w - 14)*(w - 2)**2*(w + 2)
Let p(b) be the third derivative of -b**7/5040 - b**6/360 - b**5/60 - b**4/3 - 12*b**2 - 2*b. Let s(m) be the second derivative of p(m). Solve s(x) = 0 for x.
-2
Let k(o) be the first derivative of -5*o**4/4 - 8*o**3/3 + 3*o**2 - 18*o + 19. Let n(p) = -4*p**3 - 8*p**2 + 7*p - 15. Let l(t) = -5*k(t) + 6*n(t). Factor l(h).
h*(h - 6)*(h - 2)
Suppose 0 = 2*a + 2*a - 12. Suppose 26 = d + 3*v, -5*d + 7*d = -4*v + 48. Find p, given that 15 + 13*p**3 + 4*p**2 - a + d*p - 17*p**3 = 0.
-1, 3
Let j(k) be the third derivative of k**7/5040 + k**6/480 - k**4/6 + 6*k**2 + 1. Let m(s) be the second derivative of j(s). Factor m(a).
a*(a + 3)/2
Let g(p) be the first derivative of 2*p**5/45 - p**4/2 + 58*p**3/27 - 13*p**2/3 + 4*p - 1612. Factor g(x).
2*(x - 3)**2*(x - 2)*(x - 1)/9
Let l(s) be the first derivative of s**6/1080 - s**5/6 + 25*s**4/2 + 47*s**3 - 108. Let p(d) be the third derivative of l(d). Solve p(o) = 0.
30
Let w be (-2 - -4)/(20 + -15 - 4). Let s(d) be the first derivative of -10 + 2/9*d**3 + 0*d + 2/3*d**w. Let s(n) = 0. What is n?
-2, 0
Let y(b) be the third derivative of b**5/105 + 3*b**4/2 + 880*b**3/21 - 13*b**2 - 87. Factor y(p).
4*(p + 8)*(p + 55)/7
Let x(o) be the second derivative of -o**7/21 - 71*o**6/15 + 148*o**5/5 - 50*o**4 + 342*o - 1. Factor x(g).
-2*g**2*(g - 2)**2*(g + 75)
Suppose 0 = -45*y + 9*y + 108. Let r be (-2 - 189/(-36)) + (1 - 4). Suppose -1/2*i - r*i**4 + 1/4 + 0*i**2 + 1/2*i**y = 0. Calculate i.
-1, 1
Let d(u) be the first derivative of u**4/6 - 358*u**3/9 + 355*u**2/3 - 118*u - 478. Factor d(k).
2*(k - 177)*(k - 1)**2/3
Factor -10/3*x**2 - 10/3 - 25/3*x.
-5*(x + 2)*(2*x + 1)/3
Let l(h) = 3*h**2 - 65*h - 443. Let t(z) = z**2 - z + 13. Let g(b) = -l(b) + t(b). Find s, given that g(s) = 0.
-6, 38
Let a(t) be the first derivative of 103*t**4/12 - 46*t**3 + 70*t**2 - 8*t/3 - 2418. Factor a(s).
(s - 2)**2*(103*s - 2)/3
Let h = 8911 + -8911. Let q(j) be the third derivative of 1/420*j**6 - 1/1176*j**8 + h*j**4 + 0*j + 0*j**7 + 0*j**3 + 14*j**2 + 0*j**5 + 0. Factor q(g).
-2*g**3*(g - 1)*(g + 1)/7
Let a(f) be the second derivative of f**4/120 - 11*f**3/5 + 1089*f**2/5 - 1099*f + 2. Let a(m) = 0. Calculate m.
66
Let s = 409/10140 + -4/169. Let