 0*h**5 + 0*h + 0 + 0*h**3 + 1/840*h**6. Factor i(w).
-w**3*(w - 1)*(w + 1)/7
Let m(q) = -6791*q - 271636. Let c be m(-40). Solve 0*o + 3/5*o**c - 63/5*o**2 + 12/5*o**3 + 0 = 0 for o.
-7, 0, 3
Let y be 1 + 5 + (-7916)/1320. Let s = y - -9/55. Find h such that 0 + 1/3*h - s*h**2 = 0.
0, 2
Factor -4*b**2 + 858 + 75*b + 133*b - 473 + 4655.
-4*(b - 70)*(b + 18)
Let o = -3101/11 + 21740/77. Suppose o*y**2 + 0 + 9/7*y = 0. Calculate y.
-3, 0
What is o in -128/11*o**3 - 56/11 - 28/11*o**4 - 190/11*o - 2/11*o**5 - 236/11*o**2 = 0?
-7, -4, -1
Let j(x) = 42*x**3 + 68*x**2 - 45*x + 23. Let v(w) = -14*w**3 - 23*w**2 + 14*w - 6. Let d(r) = 2*j(r) + 7*v(r). Find c, given that d(c) = 0.
-2, -2/7, 1/2
Let k(v) be the third derivative of 14/3*v**3 - v**2 - 4*v + 1/420*v**5 + 0 - 1/6*v**4. Determine f, given that k(f) = 0.
14
Suppose 127/3*g**3 + 19/3*g**4 + 361/3*g**2 + 1/3*g**5 + 448/3*g + 196/3 = 0. What is g?
-7, -2, -1
Let a(z) = -2*z**3 - z**2 + 7*z + 1. Let n(p) = -p**4 + 14*p**3 + 80*p**2 + 95*p - 1. Let x(i) = -5*a(i) - 5*n(i). Find w, given that x(w) = 0.
-3, -2, 0, 17
Let h(l) = 5*l**3 + 356*l**2 + 1451*l + 1452. Let v(y) = -11*y**3 - 708*y**2 - 2903*y - 2908. Let j(q) = 7*h(q) + 3*v(q). What is z in j(z) = 0?
-180, -2
Let g(x) be the first derivative of x**6/30 + x**5/20 - 5*x**4/12 + x**3/2 - 8*x - 36. Let p(w) be the first derivative of g(w). Find v such that p(v) = 0.
-3, 0, 1
Let a(v) be the first derivative of -2*v**3/21 - 17*v**2/7 - 32*v/7 - 1206. Determine t, given that a(t) = 0.
-16, -1
Let q(l) be the third derivative of -l**6/360 - l**5/60 + l**4/3 - 353*l**3/6 - 9*l**2 + 15*l. Let o(c) be the first derivative of q(c). Factor o(u).
-(u - 2)*(u + 4)
Let y = 164470 + -164468. Factor -1/4*q**y + 3/4*q + 5/2.
-(q - 5)*(q + 2)/4
Let v(r) be the second derivative of -5/6*r**3 - 5/3*r**4 + 15*r**2 - 1/4*r**5 + 4*r + 0. Factor v(z).
-5*(z - 1)*(z + 2)*(z + 3)
Let t be 39/(-5)*140/(-260). Factor 0 - 27/5*g**4 + 0*g + 3/5*g**5 - t*g**2 + 9*g**3.
3*g**2*(g - 7)*(g - 1)**2/5
Let n be ((-4)/48*-4)/((-5)/(-30)*1). Let j(a) be the first derivative of 0*a**3 + 0*a**2 + 2*a**4 + 1/3*a**6 + 5 + 0*a + n*a**5. Factor j(h).
2*h**3*(h + 1)*(h + 4)
Let x(b) be the second derivative of -49*b**5/15 + 2576*b**4/9 + 1481*b**3/6 + 159*b**2/2 - 9841*b. Determine a so that x(a) = 0.
-3/14, 53
Let 12417381 + 450*w - 5*w**3 + 5*w**2 - 12417381 = 0. What is w?
-9, 0, 10
Suppose 28*m = 25*m - 12. Let p be (4/m)/(1/(-3)). Factor -2 - 55*t**3 + 16*t**2 + 36*t**p + 4*t**4 + 34*t**3 + 3*t.
(t + 1)**2*(t + 2)*(4*t - 1)
Let w(a) = 404*a**4 - 1512*a**3 + 1792*a**2 - 678*a. Let n(z) = -1622*z**4 + 6048*z**3 - 7167*z**2 + 2713*z. Let b(j) = -2*n(j) - 9*w(j). Factor b(p).
-2*p*(p - 2)*(14*p - 13)**2
Let x(k) be the second derivative of -k**5/8 - 55*k**4/24 - 10*k**3 - 84*k - 1. Determine l, given that x(l) = 0.
-8, -3, 0
Let f(z) be the first derivative of z**4/18 + 14*z**3/27 + 2*z**2/3 + 815. Factor f(s).
2*s*(s + 1)*(s + 6)/9
Let z(b) = 22*b**4 - 14*b**3 - 4*b**2 + 2*b - 2. Let u(y) = -23*y**4 + 13*y**3 + 4*y**2 - 3*y + 3. Let k = 7 - 10. Let s(m) = k*z(m) - 2*u(m). Factor s(i).
-4*i**2*(i - 1)*(5*i + 1)
Let f = 1710919/3 + -570299. Suppose 0*o = -4*o + 16. Suppose -o - f*l - 4*l**2 - 2/3*l**3 = 0. Calculate l.
-3, -2, -1
Suppose 0 = 4*y - 4. Suppose -v + y = -2*i + 4*v, 4*i - 3*v - 5 = 0. Solve 2*g + 12*g**i - 24*g**2 + g = 0 for g.
0, 1/4
Let f(t) be the second derivative of -t**5/16 + 19*t**4/48 - 23*t**3/24 + 9*t**2/8 + 3*t - 162. Suppose f(a) = 0. What is a?
1, 9/5
Let o = -278 - -271. Let a be o*(-76)/84 + (-10)/2. Factor 4/3*f + 0 - a*f**3 + 2/3*f**2 - 2/3*f**4.
-2*f*(f - 1)*(f + 1)*(f + 2)/3
Let x(g) = -6*g - 8*g**2 + 864*g**3 - g - 865*g**3. Let v be x(-7). Determine h so that -12/5*h**4 + 8/5*h**2 + v*h + 4*h**3 + 0 = 0.
-1/3, 0, 2
Let r = -60 - -90. Suppose -4*y = k - 23, -2*k - y = -5*k + r. Factor 5*o**3 + 3*o**2 - 4*o**3 + k*o**3 - 3*o**4 - 12*o.
-3*o*(o - 4)*(o - 1)*(o + 1)
Let a(o) be the third derivative of o**6/80 + o**5 + 27*o**4/16 - 117*o**3 - 2*o**2 + 361*o + 3. Determine j, given that a(j) = 0.
-39, -4, 3
Let n(b) be the third derivative of b**5/4 - 1985*b**4/24 + 110*b**3 - 291*b**2. Suppose n(u) = 0. Calculate u.
1/3, 132
Let x = 30737/680 + -768/17. Let n(h) be the second derivative of 0 - 1/6*h**3 - x*h**5 + 0*h**2 + 1/8*h**4 - 11*h. Suppose n(o) = 0. Calculate o.
0, 1, 2
Let -16/3*g - 16 - 1/3*g**2 = 0. Calculate g.
-12, -4
Let r(d) be the first derivative of -2*d**5/35 + 36*d**4/7 - 542*d**3/21 - 72*d**2/7 + 544*d/7 - 847. Solve r(i) = 0 for i.
-1, 1, 4, 68
Let n(l) be the third derivative of l**8/336 - 23*l**7/210 + 27*l**6/20 - 44*l**5/15 - 208*l**4/3 + 512*l**3 - 3*l**2 - 123*l. Factor n(a).
(a - 8)**3*(a - 2)*(a + 3)
Let h(w) be the second derivative of w**6/540 - w**5/135 + w**4/108 - 19*w**2/2 - 34*w. Let y(l) be the first derivative of h(l). What is i in y(i) = 0?
0, 1
Let i = -303919/2 + 151960. Solve 9/2 - 5*g + i*g**2 = 0.
1, 9
Let i be 23 + (-18 + 25)*-2 + -3*2. Factor 3/4*x**5 - 15/4*x**2 + 3/4*x**4 - 3/2*x + 0 - 9/4*x**i.
3*x*(x - 2)*(x + 1)**3/4
Suppose 0 = -5*g + 41 + 29. Suppose 6 = 4*r - g. Factor -r*w**2 - 4 + 7 + 15*w - 3.
-5*w*(w - 3)
Factor 285*y + 108*y - 10*y**2 + 167*y + 34 - 589 + 5*y**2.
-5*(y - 111)*(y - 1)
Let q(c) = -c**2 + 2*c - 2. Let s(b) = 15*b**2 - 825*b + 820. Let d(j) = 10*q(j) + s(j). Solve d(x) = 0.
1, 160
Let x(o) be the first derivative of o**3/9 + 5*o**2/6 - 42*o + 4252. Suppose x(v) = 0. Calculate v.
-14, 9
Suppose -5*n = 3*p + 34, -4*n - 52 + 20 = 0. Let m(x) be the first derivative of 0*x**p + 0*x - 1/3*x**3 - 33. Factor m(v).
-v**2
Let q be (0 + -6 + 0)*1*(128 + 48510/(-378)). Solve -47/2*u + 15 - 5/2*u**q = 0 for u.
-10, 3/5
Let b(g) be the second derivative of 0 + 1/120*g**6 + 1/24*g**4 - 1/20*g**5 - 3/8*g**2 + 83*g + 1/6*g**3. Suppose b(y) = 0. What is y?
-1, 1, 3
Let f(l) be the third derivative of -l**5/12 - 5495*l**4/8 + 8245*l**3/3 - 10599*l**2. Factor f(d).
-5*(d - 1)*(d + 3298)
Let i(n) be the third derivative of n**6/900 - 251*n**5/225 - 503*n**4/180 + 178*n**2 + n. Let i(p) = 0. What is p?
-1, 0, 503
Let f(l) be the third derivative of l**7/1470 - 87*l**6/56 + 35534*l**5/35 - 53138*l**4/21 + l**2 - l - 1403. Find u such that f(u) = 0.
0, 1, 652
Factor -34 - 86418*v + 0*v**2 - 2*v**2 + 86382*v.
-2*(v + 1)*(v + 17)
Let o(t) = 18*t - 140. Let d be o(8). Factor -d*u**4 + 16*u**4 - 9*u**4 + 7*u**3 - 8*u**4 - 2*u**2.
-u**2*(u - 1)*(5*u - 2)
Let u be (-301)/(-63) - 26/(-117). Let t(x) be the third derivative of 0 - 4/45*x**u + 26*x**2 - 1/18*x**3 + 0*x + 1/9*x**4. Factor t(j).
-(4*j - 1)**2/3
Let r be 2/3*(-33)/(-12)*(-4028)/(-22154). Determine q, given that 5/3 + 3*q - r*q**3 + q**2 = 0.
-1, 5
Let d be (-24)/(-64) - (3228/(-336) - -10)/(-2). Solve 12/7*b + 16/7 - d*b**2 = 0 for b.
-1, 4
Let f(d) = 58*d**3 + 763*d**2 + 286*d - 327. Let i(o) = 19*o**3 + 254*o**2 + 95*o - 116. Let s(k) = -6*f(k) + 17*i(k). Suppose s(p) = 0. What is p?
-10, -1/5
Factor 140 - 1/3*u**2 + 101/3*u.
-(u - 105)*(u + 4)/3
Let l = -339516/7 - -48504. Factor -34/7*y**3 + 0*y - l*y**2 + 0 - 10/7*y**4.
-2*y**2*(y + 3)*(5*y + 2)/7
Let t(v) be the first derivative of -2/21*v**3 - 46/7*v**2 - 129 + 0*v. Let t(f) = 0. Calculate f.
-46, 0
Let n(l) be the second derivative of 1369/15*l**2 + 0 + 176*l - 74/45*l**3 + 1/90*l**4. Find t such that n(t) = 0.
37
Let g(d) be the second derivative of 0 + 294*d**2 + 1/4*d**4 - 14*d**3 + 41*d. Suppose g(a) = 0. Calculate a.
14
Let q(a) be the first derivative of a**6/36 + 257*a**5/30 + 2080*a**4/3 + 8192*a**3/9 + 1254. Solve q(s) = 0 for s.
-128, -1, 0
Suppose -2406*f + 2412015 + 3/5*f**2 = 0. Calculate f.
2005
Let h be (-6)/24 - (-151976)/(-480). Let t = 317 + h. Determine q, given that 0*q**2 - t*q + 0 + 2/15*q**3 = 0.
-1, 0, 1
Suppose 35770 - 35824 = -27*x. Let u(k) be the third derivative of 0*k + 0 + 1/30*k**5 + 0*k**3 + 1/6*k**4 + 3*k**x. Suppose u(d) = 0. What is d?
-2, 0
Let h(w) be the first derivative of w**9/756 + w**8/210 - w**7/70 + 137*w**3/3 + 110. Let r(o) be the third derivative of h(o). Determine m so that r(m) = 0.
-3, 0, 1
Let l(z) be the second derivative of -z**4/72 + 41*z**3/36 - 13*z**2/2 + 740*z. Determine m, given that l(m) = 0.
2, 39
Let w = 23 + -19. Suppose 4*a - 4 