18*u**6 - 1/12*u**5 + 0*u**3 + 0*u**2 + 5/126*u**v + 26*u + 5/36*u**4 + 0. Factor h(x).
5*x**2*(x - 1)**2*(x + 1)/3
Suppose 4*i - 5*v = 0, 18*i - 20*i + 2*v = -6. Factor i - 63/2*o - 3/2*o**3 + 18*o**2.
-3*(o - 10)*(o - 1)**2/2
Let c be (11 + -3)/(-4)*(-211)/(-633)*9/(-2). Solve -115/4*r - 15/2 - 30*r**2 - 35/4*r**c = 0 for r.
-2, -1, -3/7
Let m(k) be the first derivative of -5/4*k**4 - 30*k + 5/2*k**2 + 10*k**3 + 36. Find n, given that m(n) = 0.
-1, 1, 6
Suppose 42*j**4 + 38376*j**5 - 1247 - 769 - 76751*j**5 + 474*j**2 + 38372*j**5 + 423*j**3 - 1920*j = 0. Calculate j.
-4, -1, 2, 21
Factor 13/5*n**3 - n**2 - 18/5*n + 0.
n*(n + 1)*(13*n - 18)/5
Let i(g) be the first derivative of -5/3*g**3 - 5120*g + 160*g**2 - 31. Factor i(h).
-5*(h - 32)**2
Let b(x) = 50*x**2 - 2497*x - 7545. Let q(a) = -9*a**2 + 500*a + 1509. Let u(j) = 2*b(j) + 11*q(j). Factor u(f).
(f + 3)*(f + 503)
Let a(w) be the first derivative of -3*w**4/4 - 92*w**3 + 849*w**2/2 - 570*w + 876. Factor a(o).
-3*(o - 2)*(o - 1)*(o + 95)
Let l(q) be the second derivative of q**6/2 - 769*q**5/4 + 8915*q**4/12 - 6355*q**3/6 + 635*q**2 + 9730*q. Suppose l(p) = 0. Calculate p.
1/3, 1, 254
Factor 0 - 2/3*g**2 + 0*g**3 + 2/9*g**4 - 4/9*g.
2*g*(g - 2)*(g + 1)**2/9
Let r(b) be the first derivative of -b**5/25 + 441*b**4/20 - 47948*b**3/15 - 74814*b**2/5 + 197136*b/5 + 2234. Find z such that r(z) = 0.
-4, 1, 222
Let x = 61/772 - -42277/2316. Solve -x*j - 1/6*j**2 - 3025/6 = 0.
-55
Let r = 2205281/280 + -7876. Let x(c) be the third derivative of 0*c**5 + 1/490*c**7 + 0*c**3 + 0*c + 0 + r*c**6 + 10*c**2 + 0*c**4. Factor x(v).
3*v**3*(v + 1)/7
Factor 2*g**4 + 156*g + 337*g**2 - 408*g**2 - 24*g**3 + 33*g**2.
2*g*(g - 13)*(g - 2)*(g + 3)
Let d(o) be the third derivative of 0*o - 11/15*o**5 + 0 - 161*o**2 - 25/6*o**4 - 26/3*o**3 + 1/30*o**6. Factor d(f).
4*(f - 13)*(f + 1)**2
Suppose 0 - 5/2*j**4 - 25/2*j**2 - 15*j**3 + 0*j = 0. Calculate j.
-5, -1, 0
Suppose 666/5*v**2 - 1296/5*v + 648/5 - 126/5*v**3 + 8/5*v**4 = 0. Calculate v.
3/4, 3, 6
Factor 2904 - m**2 + 5*m**2 - 4*m**2 - 5*m**2 + 2*m**2 + 2901*m.
-3*(m - 968)*(m + 1)
Suppose 0 = 5*x - 4*n - 79, 0*x - 88 = -4*x - 3*n. Suppose 0 = -3*y - x + 25. Suppose -21/5 + 12*i + 9/5*i**y = 0. Calculate i.
-7, 1/3
Let 2771 + 204*t**2 - 3658*t**3 + 3660*t**3 + 3709 + 2232*t = 0. What is t?
-90, -6
Let b(i) be the second derivative of -1/24*i**4 + 1/8*i**5 + 3*i**2 + 1/60*i**6 + 3 - 17/12*i**3 - 33*i. Let b(t) = 0. Calculate t.
-4, -3, 1
Factor 1/8*b**4 + 13 - 1/2*b - 39/4*b**2 - 23/8*b**3.
(b - 26)*(b - 1)*(b + 2)**2/8
Let k(y) = -y**2 - 5*y + 6. Let s be k(-6). Let q be (2*(23 + 2002/(-88)))/(2/8). Factor s*t**q + 4/15 + 2/15*t**3 - 2/5*t.
2*(t - 1)**2*(t + 2)/15
Find r, given that 69/7*r**2 + 387/7*r + 540/7 = 0.
-3, -60/23
Let s(u) be the second derivative of 2*u**7/105 - 4*u**6/75 - 4*u**5/25 + 8*u**4/15 + 3571*u. Find l such that s(l) = 0.
-2, 0, 2
Suppose 4*z**3 + 2*z**3 + 1751*z + 7350 + 372*z + 1972*z - 3*z**3 + 216*z**2 = 0. What is z?
-35, -2
Let b(h) be the second derivative of h**4/12 + 637*h**3/3 + 1272*h**2 - 4675*h. Let b(w) = 0. What is w?
-1272, -2
Suppose 3*m - 2*m - 15 = 5*i, -2*i - 19 = -3*m. Suppose 2*y - 2 = 5*q, 0 = -m*y + 10 - 5. Factor -2/7*c**3 - 4/7*c**2 - 2/7*c + q.
-2*c*(c + 1)**2/7
Let x(n) = 695*n**2 - 2*n - 3. Let t be x(-1). Let s = t - 268. Factor 422*y**4 - s*y**4 - 2*y**3 + 10*y**3.
-4*y**3*(y - 2)
Factor -408/11 - 1634/11*z - 8/11*z**2.
-2*(z + 204)*(4*z + 1)/11
Factor -2/7*n**4 + 0 + 426/7*n**2 - 214/7*n - 30*n**3.
-2*n*(n - 1)**2*(n + 107)/7
Let w(f) be the third derivative of 1/240*f**6 + 5/3*f**3 + 0 + 0*f - 1/3*f**4 - 257*f**2 + 1/120*f**5. Factor w(o).
(o - 2)**2*(o + 5)/2
Let m(r) = -8*r**2 - 52*r + 11. Let c(g) = 3*g**2 + 18*g - 4. Let j(i) = 11*c(i) + 4*m(i). Let b(q) = 9*q**2 - 82*q. Let t(z) = -6*b(z) + 51*j(z). Factor t(v).
-3*v*(v + 6)
Let h be 6076/651*((-2)/(-7) + (-77)/(-245)). Let g(p) be the first derivative of 147/5*p**4 + 3/10*p**2 - h*p**3 - 7 + 0*p. Solve g(o) = 0 for o.
0, 1/14
Let u(f) = -5*f**2 - 127*f + 315. Let c(y) = -y**2 + y - 31. Let q(s) = -6*c(s) + 2*u(s). Suppose q(r) = 0. Calculate r.
-68, 3
Let g = 10 + -4. Suppose 5*a = 3*m + 9, -5*a - 56 = -m - 69. Determine y, given that -8*y**3 + 14*y**2 + 0*y**m + 7*y - 20*y**2 + y**5 + g = 0.
-2, -1, 1, 3
Let s(o) be the third derivative of 13/15*o**5 + 0 + 61*o**2 - 8*o**4 + 0*o - 1/30*o**6 + 24*o**3. Solve s(t) = 0.
1, 6
Suppose -83 = -3*n - 5*y, -4*y - 2 + 32 = n. Let x(i) be the first derivative of -n + 5*i**2 - 8*i - 2/3*i**3. Factor x(k).
-2*(k - 4)*(k - 1)
Let c(v) be the second derivative of 2*v**3 + 15*v + 5/4*v**4 + 0*v**2 + 2 + 3/20*v**5. Solve c(d) = 0 for d.
-4, -1, 0
Let r(h) = 5*h**4 + 8*h**3 + 115*h**2 + 208*h + 108. Let g(j) = 57*j**4 + 87*j**3 + 1266*j**2 + 2289*j + 1188. Let b(c) = -4*g(c) + 45*r(c). Factor b(w).
-3*(w - 9)*(w + 1)*(w + 2)**2
Let a(n) be the second derivative of n**5/90 + 10*n**4/27 + 11*n**3/3 + 651*n. Let a(p) = 0. What is p?
-11, -9, 0
Let q(u) = -u**3 - 10*u**2 + 9*u - 19. Let o(i) = -11*i**3 + i**2 - 2*i + 1. Let k be o(1). Let m be q(k). Factor m*x**2 + 13*x + 7*x + 243 + 9*x + 25*x.
3*(x + 9)**2
Let r(h) be the third derivative of -h**6/200 - 17*h**5/100 - 11*h**4/20 + 12*h**3 + 622*h**2. Let r(f) = 0. What is f?
-15, -4, 2
Let o = -45 + 51. Let k(r) be the first derivative of r - 5*r - 7 - r**4 + o*r**2 - 4*r. Determine w, given that k(w) = 0.
-2, 1
Suppose -260 = -20*i + 15*i. Let m = i - 50. Determine p, given that 19*p**4 + 0*p**2 - p**m + 63*p**5 - 86*p**4 + 5*p**2 = 0.
-2/9, 0, 2/7, 1
Let j(s) be the third derivative of -128*s**2 + 0 + 1/8*s**4 + 0*s - 1/420*s**7 + 0*s**3 - 1/224*s**8 - 19/120*s**5 + 17/240*s**6. Find w such that j(w) = 0.
-3, 0, 2/3, 1
Let z(o) be the third derivative of -o**8/336 - o**7/6 - 77*o**6/60 - 2*o**5 - 3841*o**2. Find f, given that z(f) = 0.
-30, -4, -1, 0
Suppose 6*d + 147 - 9 = 0. Let r = d - -22. Let m(w) = 13*w**2 - 15*w + 5. Let n(c) = -c**2 - c - 1. Let v(l) = r*n(l) - m(l). Factor v(u).
-4*(u - 1)*(3*u - 1)
Let b(o) be the third derivative of 1/90*o**5 - 21*o**2 + 0*o - 1/12*o**4 + 2/9*o**3 + 0. Factor b(s).
2*(s - 2)*(s - 1)/3
Let f = 92 - -17. Let v be (1/8)/(((-42)/(-224))/3). What is w in -f*w**2 + 8*w + 104*w**v + 22*w - 45 = 0?
3
Let u(o) be the third derivative of -1/20*o**5 - 13/2*o**3 + 7/4*o**4 + 0 - 27*o**2 + 0*o. What is t in u(t) = 0?
1, 13
Let -1260 + 101*b**2 + 98*b**2 + 98*b**2 - 201*b + 96*b**2 - 396*b**2 = 0. What is b?
-60, -7
Let n = 251 + -227. Factor -6*v - 21*v**2 + 18*v**2 - 21*v - n.
-3*(v + 1)*(v + 8)
Let -1/2*h**2 - 42/5 - 34/5*h + 2/5*h**3 = 0. Calculate h.
-2, 21/4
Suppose 26*z - 21*z = 150. Determine g so that 39*g - z*g**2 - 79*g + 45*g = 0.
0, 1/6
Let b(u) = u**2 + 1 - 435*u**4 - u**3 + 435*u**4 + u**5 + 0*u**5. Let f(k) = -4*k**4 + 12*k**3 - 6*k**2 + 2. Let d(n) = 2*b(n) - f(n). Factor d(x).
2*x**2*(x - 1)**2*(x + 4)
Suppose 32 = 24*z + 2*f, -f - 30 = z + 3*f. Factor -16/9 + 4/9*h + 2/9*h**z.
2*(h - 2)*(h + 4)/9
Let s(g) be the first derivative of -271 + 1/2*g**2 - 2/21*g**3 - 4/7*g - 1/28*g**4. Factor s(f).
-(f - 1)**2*(f + 4)/7
Let r(j) = j**3 - 5*j**2 + 3*j - 2. Let u(q) = -7*q - 2. Let z be u(-1). Let k be r(z). Suppose 2*i - 31*i**2 + 14*i**2 + k*i**2 + 6*i**2 = 0. Calculate i.
-1, 0
Let l = -9360 - -9362. Let h(f) be the first derivative of 0*f**4 + 0*f + 1/14*f**6 + 0*f**l + 3/35*f**5 + 0*f**3 + 20. Factor h(g).
3*g**4*(g + 1)/7
Suppose 4*q = 4*z - 22 + 2, -2*z = q - 4. Suppose 4*w = -4*t + 59 + 341, 4*w + 293 = z*t. Determine k so that -2*k**2 - 2*k**3 - 99*k + t*k - 6*k**2 = 0.
-4, 0
Let j(s) be the second derivative of -5/27*s**4 + 98*s + 8/9*s**2 + 8/27*s**3 - 1/15*s**5 + 0. Determine f so that j(f) = 0.
-2, -2/3, 1
Let v(t) be the first derivative of t**7/210 - t**6/120 - t**5/30 - 111*t**2/2 - 19. Let n(b) be the second derivative of v(b). Find z such that n(z) = 0.
-1, 0, 2
Suppose -o + 3*m + 10 = 5*m, -5*o + m = 5. Let p(k) be the third derivative of -1/36*k**5 + 1/360*k**6 + 4/9*k**3 + 1/36*k**4 + o + 0*k - 27*k**2. Factor p(c).
(c - 4)*(c - 2)*(c + 1)/3
Let a(l) be the third derivative of -l**5/20 + 121*l**3/2 + 4179*l**2. Factor a(n).
-3*(n - 11)*(n + 11)
Let z = -65226/55 - -2472/11. Let i = z + 962. Find h su