*f - 1/8*f**4 + 43*f**2 + 0 + 1/120*f**6. Factor j(w).
w*(w - 3)*(w + 1)
Let h(x) = 28*x - 3*x**2 + 102 - 81 - 7*x**3 + 0*x. Let c(l) = -6*l**3 - 2*l**2 + 28*l + 22. Let b(t) = 3*c(t) - 2*h(t). Factor b(j).
-4*(j - 3)*(j + 1)*(j + 2)
Let b(y) = 8*y**4 + 72*y**3 - 355*y**2 + 571*y + 20. Let a(m) = 10*m**4 + 74*m**3 - 354*m**2 + 570*m + 24. Let w(q) = -5*a(q) + 6*b(q). Factor w(s).
-2*s*(s - 24)*(s - 4)*(s - 3)
Factor 1443/5 - 3/5*o**2 + 72/5*o.
-3*(o - 37)*(o + 13)/5
Suppose -1/5*y**2 - 12 - 32/5*y = 0. Calculate y.
-30, -2
Let r(o) be the second derivative of -6*o + 18*o**3 + 0 - 56*o**2 + 1/3*o**4. Factor r(p).
4*(p - 1)*(p + 28)
Let o = 6 + -8. Let z = o + 6. Factor 53*u + 324 - 20*u + z*u**2 + 39*u.
4*(u + 9)**2
Let j(p) be the second derivative of 0*p**2 + 1/25*p**5 + 0 - 1/3*p**4 - 39*p + 0*p**3. Determine r, given that j(r) = 0.
0, 5
Solve 991*t - 14 + 992*t - 1 + t**2 - 1969*t = 0.
-15, 1
Let m(k) be the first derivative of k**4/28 + 1319*k**3/21 + 31020*k**2 - 435600*k/7 - 617. Let m(n) = 0. Calculate n.
-660, 1
Let 1/3*c**5 - 10584 + 1579*c**3 - 44*c**4 + 16212*c - 25334/3*c**2 = 0. What is c?
2, 63
Let t = 72 + -68. Let c(f) be the first derivative of 4*f**2 - 2*f**2 - 17 - 8*f**2 + f**t + 8*f. Factor c(h).
4*(h - 1)**2*(h + 2)
Let d(n) = -104*n**2 - 68*n + 757. Let g(c) = 49*c**2 + 34*c - 379. Let v(f) = -8*d(f) - 17*g(f). Let v(l) = 0. What is l?
-43, 9
Let a = 438 - 257. Let g = a + -904/5. Factor 1/5*l**3 - 1/5*l**2 + g - 1/5*l.
(l - 1)**2*(l + 1)/5
Factor 1233/4 + 615/2*z - 3/4*z**2.
-3*(z - 411)*(z + 1)/4
Let u(x) be the second derivative of -x**4/96 - 337*x**3/12 - 113569*x**2/4 + x - 1766. Factor u(f).
-(f + 674)**2/8
Let q(h) be the first derivative of 4*h**4/7 + 34*h**3/3 + 97*h**2/7 - 4*h - 1866. Factor q(n).
2*(n + 1)*(n + 14)*(8*n - 1)/7
Let a(h) be the third derivative of -6 - 12*h**3 + 1/30*h**6 + 4/15*h**5 - 5/2*h**4 + 0*h + 7*h**2. Factor a(l).
4*(l - 3)*(l + 1)*(l + 6)
Let f(o) = -5*o**3 - 160*o**2 - 685*o - 710. Let v(m) = -m**3 - 78*m**2 - 342*m - 356. Let j(z) = -2*f(z) + 5*v(z). Suppose j(k) = 0. What is k?
-2, 18
Let q(r) be the second derivative of -125*r**4/12 + 13600*r**3/3 - 739840*r**2 - 5*r + 499. Factor q(h).
-5*(5*h - 544)**2
Let k(b) be the second derivative of -b**7/28 - 77*b**6/120 + 209*b**5/80 + 71*b**4/16 + 15*b**3/8 - 36*b - 17. Determine g, given that k(g) = 0.
-15, -1/2, -1/3, 0, 3
Let b be ((-2640)/300)/(2/15*3). Let t be 99/(-2145) + (-2 - b/10). Factor t*y**2 - 2/13*y**4 - 2/13*y**3 + 2/13*y + 0.
-2*y*(y - 1)*(y + 1)**2/13
Let v(b) be the second derivative of b**4/6 - 35*b**3/12 - 9*b**2/4 - 806*b. Factor v(m).
(m - 9)*(4*m + 1)/2
Let v be 25/2 + (-505115)/41990. Solve -132/17*m + 2/17*m**4 - 22/17*m**2 + v*m**3 - 144/17 = 0 for m.
-3, -2, 4
Let m(g) be the first derivative of g**6/1440 + g**5/48 + 7*g**4/32 - 11*g**3/3 - 3*g**2/2 - 115. Let f(s) be the third derivative of m(s). Factor f(n).
(n + 3)*(n + 7)/4
Factor 252*x - 3/2*x**3 - 45/2*x**2 + 3822.
-3*(x - 13)*(x + 14)**2/2
Let z(w) be the third derivative of w**5/15 - 331*w**4/6 + 220*w**3 - 1532*w**2. Suppose z(v) = 0. What is v?
1, 330
Let o(j) = 3*j**2 + 25*j + 39. Let b be o(-7). Let t(z) = 9*z**2 - 264*z + 5280. Let r(s) = 17*s**2 - 526*s + 10562. Let v(h) = b*t(h) - 6*r(h). Factor v(y).
-3*(y - 42)**2
Let o = 45 + -43. Suppose 0 = -4*l + o*l + 6. Suppose j - 5*j**5 - 9*j**5 - 8*j**l + 18*j**5 + 3*j = 0. Calculate j.
-1, 0, 1
Let t = 39 - 36. Suppose 6*f + t = 141. Factor -11*a**3 + 10*a**3 - 22*a + f*a.
-a*(a - 1)*(a + 1)
Let n(g) be the second derivative of 6*g**2 - 1/8*g**4 + 2*g + 1/30*g**5 + 0 + 1/6*g**3. Let s(x) be the first derivative of n(x). Factor s(f).
(f - 1)*(2*f - 1)
Factor 0 - 8281/6*w + 91/3*w**2 - 1/6*w**3.
-w*(w - 91)**2/6
Suppose 5*u - 2*v = 624, 16 = -3*v + 25. Let g be 420/u*(-1)/(-5). Determine t, given that -g - 10/3*t - 8/3*t**2 = 0.
-1, -1/4
Let 234060*x - 65*x**2 - 163*x**2 + 14*x**3 - 1680*x**2 - 1546300 + 11*x**3 - 21*x**3 = 0. Calculate x.
7, 235
Let s = 1267994/9 - 140888. Suppose 0 - 2/3*p - s*p**3 - 8/9*p**2 = 0. What is p?
-3, -1, 0
Let g(h) be the first derivative of 150 + 18*h**5 + 230/3*h**3 + 75/2*h**2 + 60*h**4 + 5/6*h**6 + 0*h. Determine z, given that g(z) = 0.
-15, -1, 0
Suppose 2058*j**2 + 11*j**3 + 7*j**3 + 2064 + 7*j**3 + 4125*j - 35*j**3 + 7*j**3 = 0. Calculate j.
-1, 688
Suppose 2*w - 36 = c, 4*c - 78*w + 76*w = -162. Let k be 15*((-79)/c + 141/(-94)). Let -k - 4*s - 4/7*s**2 = 0. Calculate s.
-5, -2
Let z(o) be the third derivative of 0*o**3 - 1/12*o**6 + 5/4*o**5 - 5/14*o**7 + 150*o**2 + 0*o + 5/12*o**4 - 2. Suppose z(r) = 0. Calculate r.
-1, -2/15, 0, 1
Let o(x) = x**3 + x**2 - x - 1. Let m = -299 - -298. Let h(y) = 8*y**3 + 12*y**2 - 10*y - 10. Let l(b) = m*h(b) + 2*o(b). Find s, given that l(s) = 0.
-2, -2/3, 1
Let w(q) be the first derivative of -5/56*q**4 + 3 + 0*q**3 + 0*q + 2*q**2 + 1/140*q**5. Let n(k) be the second derivative of w(k). Solve n(f) = 0 for f.
0, 5
Let k be -5 - (-1 - (5 - -2)). Let u(t) = -5*t + 17. Let l be u(k). Find h, given that 8/15*h**l - 4/15 - 4/15*h**4 + 2/5*h - 2/5*h**3 = 0.
-2, -1, 1/2, 1
Let t(x) = -3*x**5 - 102*x**4 - 1199*x**3 - 5556*x**2 - 7928*x - 3456. Let v(j) = -j**3 - 3*j**2 + 2*j. Let z(o) = t(o) + 4*v(o). Suppose z(a) = 0. Calculate a.
-12, -8, -1
Let r(w) = -19*w + 204. Let m be r(9). Factor -104*j**3 - 105*j**3 + 152*j**3 + m*j**4 + 27*j**2 - 3*j**5.
-3*j**2*(j - 9)*(j - 1)**2
Let f(h) = h**2 + 2 + 0*h**2 + 4*h - 21. Let r be f(-8). Let 12*x**2 + x**3 - 3*x**4 - r*x**3 + 6*x**4 = 0. What is x?
0, 2
Let a(f) be the third derivative of -1/240*f**5 + 2*f**3 + 0 + f + 47/96*f**4 + 10*f**2. Factor a(r).
-(r - 48)*(r + 1)/4
What is l in -59049/7*l**3 + 12/7 + 178119/7*l**2 - 2920/7*l = 0?
2/243, 3
Let b(f) be the first derivative of -4/3*f**3 + 4*f - 1/10*f**4 + 93 + 1/5*f**2. Factor b(n).
-2*(n - 1)*(n + 1)*(n + 10)/5
Let 225/7 + 15/7*u**3 - 1059/7*u - 333/7*u**2 = 0. What is u?
-3, 1/5, 25
Let b = 216 - 214. Determine q so that -19 - q**2 - 51 + 65*q + 6*q**b = 0.
-14, 1
Let t = -4/18177 + 242372/54531. Determine x so that -200/9 - 2/9*x**2 - t*x = 0.
-10
Suppose -3*l = -7*u + 4*u - 6, 0 = -5*u + 4*l - 6. Factor -165*i - 10*i**u - 16*i**2 + 21*i**2 - 132 - 28.
-5*(i + 1)*(i + 32)
Suppose -34552 = -23*j + 21*j. Factor 17292*m**4 + 14*m**2 + 24*m**3 + 4*m + 4*m**5 - j*m**4 + 2*m**2.
4*m*(m + 1)**4
Let d(n) be the third derivative of n**7/315 - n**6/60 - n**5/5 + 654*n**2. Find p such that d(p) = 0.
-3, 0, 6
Let z be (32/28)/(-4) - 23/(-7). Let a be 0 - -6 - 18/z. Factor 2/3*c - 8/9*c**2 + a.
-2*c*(4*c - 3)/9
Let d(r) be the first derivative of 19 - 5/6*r**3 + 0*r + 5/48*r**4 + 1/24*r**5 + 23/2*r**2. Let h(g) be the second derivative of d(g). What is k in h(k) = 0?
-2, 1
Let b(s) be the first derivative of -s**6/6 - 2*s**5/5 - 55. Factor b(t).
-t**4*(t + 2)
Suppose -1 = 12*r + 11. Let c(k) = -2*k**4 - 16*k**3 + 35*k**2 - 17*k. Let a(v) = v**2 - v. Let d(h) = r*c(h) - 3*a(h). Factor d(b).
2*b*(b - 1)**2*(b + 10)
Let l = 343 + -329. Suppose 0 = 2*c - 3*v - 3, l*v - 13*v = 1. Suppose 2/9*x - 4/9 + 2/3*x**2 - 2/9*x**c - 2/9*x**4 = 0. What is x?
-2, -1, 1
Let r(o) = 12*o**4 + 36*o**3 - 40*o - 8. Suppose 15 = -13*h + 119. Let k(m) = 4*m**4 + 12*m**3 - 13*m - 3. Let c(z) = h*k(z) - 3*r(z). What is l in c(l) = 0?
-2, 0, 1
Let p(v) be the second derivative of -v**5/5 - 19*v**4/3 - 56*v**3 + 2863*v. Solve p(j) = 0 for j.
-12, -7, 0
Let z be (4*530/(-80))/((-4)/8). Suppose -22*v + 13 + z = 0. Let 2*o**2 - 5/4*o**4 - 7/4*o**v + o + 0 = 0. What is o?
-2, -2/5, 0, 1
Determine l so that 18*l**2 + 36*l**2 - 58*l**2 + l**4 + 15*l**3 - 576 - 240*l + 24*l**2 = 0.
-12, -4, -3, 4
Let n(h) be the first derivative of h**4/10 + 8*h**3/15 - 19*h**2/5 + 28*h/5 - 438. Find i, given that n(i) = 0.
-7, 1, 2
Let q = -690398 + 690400. Find m such that 4/3*m**q - 1/3*m - 1/3*m**3 - 2 = 0.
-1, 2, 3
Suppose -3 = -3*q - a, 0 = 5*q - 10*q + a + 13. Factor -8*o + q + 7/2*o**2.
(o - 2)*(7*o - 2)/2
Let p(v) be the second derivative of -v**6/150 + 483*v**5/100 - 25591*v**4/20 + 770501*v**3/6 + 12992241*v**2/5 - v. Let p(c) = 0. What is c?
-6, 163
Let q(c) be the first derivative of 2*c**5/25 + 34*c**4/5 + 248*c**3/15 - 528*c**2/5 - 11956. Factor q(g).
2*g*(g - 2)*(g + 4)*(g + 66)