+ 4)/10
Let s(w) be the second derivative of -5/42*w**7 - 600*w**5 + 40/3*w**6 - 400000/3*w**3 + 40000/3*w**4 + 0*w**2 + 0 + 61*w. Factor s(c).
-5*c*(c - 20)**4
Let p(g) = 7*g**2 + 508*g + 984. Let m(q) = -15*q**2 - 1015*q - 1960. Let t(y) = -2*m(y) - 5*p(y). Factor t(i).
-5*(i + 2)*(i + 100)
Let j = -40 + 55. Suppose -5*t + 5 = -l, -l = -0*t + 5*t - j. Factor -51*c + 12*c**4 + l*c**3 - 6 - 8*c**3 + 36*c**4 - 21*c**3 - 117*c**2.
3*(c - 2)*(c + 1)*(4*c + 1)**2
Let u = 638/969 + -10/17. Let l(c) be the first derivative of 2/19*c + 4/57*c**6 + 2/95*c**5 - 3 - u*c**3 + 4/19*c**2 - 4/19*c**4. Let l(r) = 0. Calculate r.
-1, -1/4, 1
Let w(q) = 4*q**2 + 9*q**3 - 7*q**2 + 4 + 1 + 5*q. Let i(u) = -13*u**3 + 5*u**2 - 7*u - 7. Let h(p) = 5*i(p) + 7*w(p). Factor h(t).
-2*t**2*(t - 2)
Let l be (668/7348)/((-10)/(-22)). Factor 6/5*a - l*a**2 + 0.
-a*(a - 6)/5
Let s = -84 - -86. Find i such that -27*i - 17*i + 73*i**4 - 76*i**4 + 4*i**3 + 23*i**s + 12 = 0.
-3, 1/3, 2
Let h(d) be the first derivative of -5*d**3 - 9*d**2 + 96*d - 2706. Solve h(b) = 0 for b.
-16/5, 2
Let x = -201 + 207. Find f, given that 2564*f**4 + 2*f**2 - x*f**3 - 2560*f**4 + 2*f**2 - f - f**5 = 0.
0, 1
Let w(r) be the second derivative of 4*r**6/45 + r**5/40 - 17*r**4/24 - 19*r**3/18 + 4710*r. What is h in w(h) = 0?
-19/16, -1, 0, 2
Let j = -337975/3 + 112659. Factor 0*q - 1/3*q**2 + 0 + j*q**3 - 1/3*q**4.
-q**2*(q - 1)**2/3
Let u be ((-150)/(-210))/(5100/714). Factor 1/5*x + 0*x**2 + 1/10 - u*x**4 - 1/5*x**3.
-(x - 1)*(x + 1)**3/10
Let l(y) be the third derivative of -y**5/135 + 13*y**4/18 - 8*y**3 + y**2 + 596*y. Suppose l(k) = 0. Calculate k.
3, 36
Let s(b) be the second derivative of b**6/30 - 33*b**5/20 - 91*b**4/6 - 50*b**3 - 76*b**2 + 602*b. Factor s(v).
(v - 38)*(v + 1)*(v + 2)**2
Suppose 5/4*a**3 - 30*a + 0 - 25/2*a**2 = 0. What is a?
-2, 0, 12
Let f(g) be the first derivative of -g**4/2 - 8*g**3 + 31*g**2 + 84*g + 2322. Find b such that f(b) = 0.
-14, -1, 3
Suppose 0 = 8*w - 2*w - 24. Suppose -5*s = 4*k - 5*k + 33, s = 20*k - 66. Let 0 - 2/7*r**5 + 0*r**w + 0*r + 0*r**2 + 2/7*r**k = 0. Calculate r.
-1, 0, 1
Let y(b) be the third derivative of -b**9/90720 + b**8/30240 + b**5/2 - b**4/24 - 2*b**2 + 29. Let h(w) be the third derivative of y(w). Factor h(v).
-2*v**2*(v - 1)/3
Let j(u) = u**5 - u**4 + 23*u**3 + 37*u**2 - 24*u. Let h(k) = k**5 + 25*k**3 + 39*k**2 - 26*k. Let b(i) = -12*h(i) + 13*j(i). Factor b(p).
p**2*(p - 13)*(p - 1)*(p + 1)
Let h(n) = -n**2 - n + 2. Let u(c) be the second derivative of -c**5/10 - c**4/3 + 3*c**3 - 6*c**2 + 53*c. Let b(f) = 2*h(f) - u(f). Solve b(s) = 0.
-4, 1, 2
Factor 2/9*v**4 + 4/9*v**2 - 2/3 - 8/9*v + 8/9*v**3.
2*(v - 1)*(v + 1)**2*(v + 3)/9
Factor -2/11*h**3 + 52/11*h**2 + 0 + 0*h.
-2*h**2*(h - 26)/11
Let l be 10*-1 + 190/19. Let z(m) be the third derivative of 0*m - 5/6*m**3 - 1/3*m**5 - 13*m**2 + 25/24*m**4 + l. Factor z(a).
-5*(a - 1)*(4*a - 1)
Let a(b) = b**3 - 22*b**2 - 429*b + 374. Let g(j) = 3*j**3 - 67*j**2 - 1325*j + 1123. Let p(n) = -7*a(n) + 2*g(n). What is u in p(u) = 0?
-12, 1, 31
Let f(m) be the third derivative of m**5/15 + 5*m**4/2 - 68*m**3/3 + 1019*m**2. Determine b, given that f(b) = 0.
-17, 2
Find w such that 40*w**3 + 94*w**2 + 55*w**4 + 318*w**2 - 427*w**2 = 0.
-1, 0, 3/11
Suppose -3*y + 2*y + 4 = 0. Let c = 3628577/6 + -604762. Solve 3/2*j**3 + 7/6*j**2 + 0 + 1/6*j**5 + 1/3*j + c*j**y = 0 for j.
-2, -1, 0
Let o(b) be the third derivative of -1/21*b**3 - 3/28*b**4 + 23*b**2 + 2 + 1/21*b**5 + 0*b. Let o(c) = 0. Calculate c.
-1/10, 1
Let l(j) = 3*j**3 - 91*j**2 - 159*j - 28. Let b be l(32). Let y = -476 + 10000/21. Factor 0 + 0*c + y*c**3 - 2/21*c**b + 0*c**2 - 2/21*c**5.
-2*c**3*(c - 1)*(c + 2)/21
Let s(i) be the second derivative of 53*i**4/16 - 65*i**3/8 + 9*i**2/2 + 323*i. Factor s(a).
3*(a - 1)*(53*a - 12)/4
Solve 3/7*f**5 + 0*f + 15/7*f**3 + 6*f**2 + 0 - 24/7*f**4 = 0 for f.
-1, 0, 2, 7
Let x(u) = 18*u - 31. Let z be x(14). Let v = -659/3 + z. Factor 4/3*d - 4/3 - 4/3*d**3 + v*d**2.
-4*(d - 1)**2*(d + 1)/3
Let s(y) be the third derivative of 1/45*y**5 + 22*y - 4*y**2 + 361/18*y**3 + 19/18*y**4 + 0. Factor s(i).
(2*i + 19)**2/3
Let c(j) be the second derivative of j**4/3 - 10*j**3 - 68*j**2 - 1352*j. Let c(i) = 0. Calculate i.
-2, 17
Let a(w) = 6*w**2 - 67*w - 63. Let q = -269 - -265. Let i(x) = -4*x**2 + 68*x + 64. Let j(g) = q*a(g) - 5*i(g). Factor j(y).
-4*(y + 1)*(y + 17)
Let i(u) be the second derivative of 1/8*u**2 - 1/8*u**3 + 0 + 87*u - 1/40*u**6 + 1/40*u**5 + 1/168*u**7 + 1/24*u**4. Let i(t) = 0. What is t?
-1, 1
Let a(n) be the second derivative of n**7/630 + 13*n**6/90 + 169*n**5/30 + 61*n**4/12 + n**3/3 + 13*n. Let y(g) be the third derivative of a(g). Factor y(r).
4*(r + 13)**2
Let g(a) = -a + 12. Let m be g(8). Suppose -c + 114 = 5*x, 3*x + 5*c = m*c + 70. Suppose -3*f**2 + 51 - 3*f - 29 - x = 0. Calculate f.
-1, 0
Find a such that 864/7 - 867/7*a + 3/7*a**2 = 0.
1, 288
Determine v so that 288*v**2 - 2*v**3 + 130*v**2 - 6*v**2 - 20464*v - 754*v = 0.
0, 103
Let g(j) = -j**2 - 2*j + 2. Let d(q) be the first derivative of -10*q**2 - 17*q - 180. Let n(m) = 5*d(m) - 5*g(m). Solve n(x) = 0.
-1, 19
Suppose -336 = 12652*b - 12736*b. Factor 3/2*j**3 + 0 + 0*j + j**2 + 1/2*j**b.
j**2*(j + 1)*(j + 2)/2
Let d(v) be the third derivative of -v**6/60 + v**5/30 + v**4/3 - 4*v**3/3 + 134*v**2 - 1. Let d(q) = 0. What is q?
-2, 1, 2
Let g(a) be the first derivative of a**8/3780 - a**7/270 - a**6/810 + 7*a**5/270 - 241*a**3/3 + 100. Let t(f) be the third derivative of g(f). Factor t(r).
4*r*(r - 7)*(r - 1)*(r + 1)/9
Let s(z) be the first derivative of -2*z**6/45 + 6*z**5/5 + 14*z**4/5 - 562*z**3/45 - 58*z**2/5 + 96*z/5 + 3721. Let s(o) = 0. What is o?
-3, -1, 1/2, 2, 24
Let u be ((-2835)/180)/(45/(-10)) + (-2)/(-4). Factor 8/5*w**2 - 2/5*w**3 + 8/5*w - 2/5*w**u + 0.
-2*w*(w - 2)*(w + 1)*(w + 2)/5
Let q(u) be the first derivative of 7*u**4/4 + 4*u**3/3 - 5*u**2/2 - 91. Let n(z) = 11*z**3 + 6*z**2 - 8*z. Let s(c) = -5*n(c) + 8*q(c). Factor s(f).
f**2*(f + 2)
Suppose -28 = -18*y + 8. Suppose -15*j = 37*j + 36*j - 18*j. Factor -2 + j*c + 2/9*c**y.
2*(c - 3)*(c + 3)/9
Let g(j) be the first derivative of j**6/3 - 12*j**5/5 + 9*j**4/2 - 8*j**3/3 + 512. Find f such that g(f) = 0.
0, 1, 4
Let a = -598 + 604. Solve -14*l**2 - 8 + 2*l**3 - 2*l**2 + a*l**2 + 14*l + 2 = 0 for l.
1, 3
Factor -30*t**3 - 190*t**2 + 40*t**2 - 45*t - 12 + 3*t**5 + 90*t**2.
3*(t - 4)*(t + 1)**4
Let c(f) be the second derivative of 2/135*f**6 + 0*f**2 + 21*f - 11/54*f**4 - 4/27*f**3 - 1/18*f**5 + 0. Suppose c(l) = 0. What is l?
-1, -1/2, 0, 4
Suppose 90*i + 317 - 497 = 0. Find a, given that 1/4*a**3 - 289/2 + 8*a**i + 221/4*a = 0.
-17, 2
Suppose 977 = 9*w + 923. Let s be (3 + (-24)/w)*(-12)/20. Factor -147/5*c**2 + 42/5*c - s.
-3*(7*c - 1)**2/5
Let j(f) be the first derivative of 254 + 8/3*f**3 - 78*f**2 + 148*f. Factor j(t).
4*(t - 1)*(2*t - 37)
Let v(u) be the second derivative of -445*u**4/4 + 1330*u**3/3 + 10*u**2 - 3482*u. Factor v(p).
-5*(p - 2)*(267*p + 2)
Let u be 118/8 + 222/(-296). What is y in 5*y**2 + u*y**5 - 2*y**5 + 3*y**3 - y**5 - 5*y**4 - 4*y - 10*y**5 = 0?
-1, 0, 1, 4
Let o(b) be the first derivative of -b**4 + 92*b**3/3 - 240*b**2 - 576*b - 2696. Factor o(r).
-4*(r - 12)**2*(r + 1)
Let m(p) = 2*p**3 - 68*p**2 + 122*p - 2. Let q(w) = 5*w**3 - 204*w**2 + 367*w - 7. Let n = 263 - 270. Let s(d) = n*m(d) + 2*q(d). Suppose s(u) = 0. Calculate u.
0, 2, 15
Let 473/2*a - 49/2*a**3 + 130 - 1/2*a**4 + 165/2*a**2 = 0. What is a?
-52, -1, 5
Let b(s) be the second derivative of -243*s**4 + 17*s**3 - 21*s**2 + 18*s - 3 - 11*s**2 + 127*s**3. Factor b(g).
-4*(27*g - 4)**2
Solve -13*o**2 - 1452 + 2068*o + 61*o**3 - 13*o**3 - 326*o**2 - 687*o**4 + 686*o**4 - 324*o**2 = 0 for o.
1, 3, 22
Let i be (0 - 2/7)*-7. Suppose 10*y + i = 11*y. Factor -5*j + 6 + j**y + j**2 - 2*j - j.
2*(j - 3)*(j - 1)
Let i(b) be the first derivative of -92 + 6/19*b**3 - 52/19*b**2 - 24/19*b. Factor i(d).
2*(d - 6)*(9*d + 2)/19
Let f = -137285 + 411856/3. Factor 0 + 2/3*s**3 + f*s**4 - 8/3*s - 4/3*s**2.
s*(s - 2)*(s + 2)**2/3
Let x(r) be the first derivative of -2*r**5/25 - r**4 + 1381. Factor x(i).
-2*i**3*(i + 10)/5
Let z(w) = w**2 - 5*w - 94. Let q be z(21). Factor -q*x - 1 - 3*x**3