t 8*g**2 - h*g**5 - 12*g**3 - 3*g**5 + 11*g**5 = 0.
-2, 0, 1
Let i(j) be the third derivative of j**6/360 + 11*j**5/90 + 53*j**4/72 - 38*j**3/9 + 19*j**2 - 28*j. Factor i(p).
(p - 1)*(p + 4)*(p + 19)/3
Suppose -25*k - 4*v + 9 = -26*k, 3*k + 12 = 7*v. Find m, given that 48/7*m - 52/7*m**2 - 16/7 - 4/7*m**4 + 24/7*m**k = 0.
1, 2
Let g(s) = 6*s - 6. Let b be g(4). Let z be (4 - -3 - 9/1) + 5. Factor -z*c**2 + 15*c - 21*c + b*c.
-3*c*(c - 4)
Let m(r) = 3*r + 56. Let v be m(-18). Solve 164*x**2 - 16 - 210*x**3 - 16*x**5 - 24*x + 191*x**4 - v*x**5 - 87*x**4 = 0 for x.
-2/9, 1, 2
Suppose 5*d - 4510 = 5*x, -3*x = 2*d + 977 - 2796. Let l = 4527/5 - d. Factor 0*u - 4/5*u**2 - l*u**3 + 2/5*u**4 + 0.
2*u**2*(u - 2)*(u + 1)/5
Let s(q) be the third derivative of -q**7/210 + q**5/60 - 178*q**2. Let a(x) = x**4 + 18*x**3 - 19*x**2. Let k(f) = -a(f) + s(f). Factor k(z).
-2*z**2*(z - 1)*(z + 10)
Let b(h) be the third derivative of h**7/350 + 11*h**6/100 - 49*h**5/100 - 11*h**4/20 + 24*h**3/5 - 2361*h**2 + 2. Suppose b(t) = 0. What is t?
-24, -1, 1, 2
Factor -2/23*v**2 - 2433218/23 - 4412/23*v.
-2*(v + 1103)**2/23
Let w be (-65)/(-130)*0/2 + ((-672)/35)/(-12). Solve -12/5*q**3 + 0*q**2 + 0*q - w*q**4 + 0 - 1/5*q**5 = 0 for q.
-6, -2, 0
Let z(i) be the second derivative of -1/16*i**4 + 0*i**2 - 74*i + 0 - 1/4*i**3. Determine v so that z(v) = 0.
-2, 0
Let n(c) be the second derivative of -35*c + 1444*c**3 + 109744*c**2 + 0 + 19/2*c**4 + 1/40*c**5. Let n(b) = 0. Calculate b.
-76
Let m be 6*(-26*(-6)/36 - 4). Factor 4*d**4 - d - 4552*d**3 + 4536*d**3 - 4*d**m + 17*d.
4*d*(d - 4)*(d - 1)*(d + 1)
Let f = 53/1686 + 19967/8430. Determine i, given that -4/5*i**5 + 0*i - f*i**4 + 0 - 4/5*i**2 - 12/5*i**3 = 0.
-1, 0
Let a = -658 + 730. Suppose 73*v = a*v + 720. Suppose 1440*o - v*o**2 + 2/3*o**5 - 50/3*o**4 + 160*o**3 - 864 = 0. What is o?
1, 6
Let n(j) be the third derivative of j**7/945 + 7*j**6/270 - 16*j**5/135 + 2*j**2 + 4*j + 20. Find c, given that n(c) = 0.
-16, 0, 2
Let p be 1/((-3)/15 - (1580/(-150) + 8)). Factor 0 + p*j**3 - 3/7*j**2 - 36/7*j.
3*j*(j - 4)*(j + 3)/7
Let n(s) be the first derivative of 19 + 12*s**2 - 2/3*s**4 + 2*s + 10/3*s**3 - 1/5*s**5. Let a(y) be the first derivative of n(y). Let a(c) = 0. Calculate c.
-3, -1, 2
Let v = 56 + -50. Suppose -10*u - v = -11*u. Determine j, given that 4*j**3 - 4*j - 4 + j**2 - 15*j**2 - 24*j - u = 0.
-1, -1/2, 5
Suppose -199*v**2 + 131*v**3 - 63/2*v**4 + 267/2*v - 67/2 - 1/2*v**5 = 0. Calculate v.
-67, 1
Let j be (-1 - -5)*10/8*3. Let w = 23 - j. Factor 2*g**3 + 48*g + 0*g**3 - 32 + 0*g**3 - w*g**2 - 10*g**2.
2*(g - 4)**2*(g - 1)
Let v(r) be the third derivative of 8 - 2/15*r**6 + 0*r + 3*r**2 + 1/84*r**8 + 0*r**4 + 0*r**3 - 8/15*r**5 + 4/105*r**7. Determine j so that v(j) = 0.
-2, 0, 2
Let h(r) = -3*r**3 + 3*r**3 + 34 - 20*r + 37*r - 3*r**3. Let n(l) = 16*l**3 - l**2 - 86*l - 169. Let t(m) = 11*h(m) + 2*n(m). Solve t(c) = 0.
-3, 4
Let i be (-3)/((-189)/14) + 460/(-45). Let q be 6/(-15)*-5*i/(-8). Factor -9/2*b**3 + 0 - q*b**4 - 7/2*b**2 - b - 1/2*b**5.
-b*(b + 1)**3*(b + 2)/2
Let h be (64/((-13056)/45))/((-6)/16). Factor h*g + 8/17*g**2 + 2/17.
2*(g + 1)*(4*g + 1)/17
Let p = -175 + 178. Factor 3*i**3 - 11*i**p + 3*i**3 + 30*i**2 - 45*i.
-5*i*(i - 3)**2
Let g(k) be the second derivative of k**5/70 + 13*k**4/7 - 496*k**3/21 + 96*k**2 + k + 445. Solve g(d) = 0 for d.
-84, 2, 4
Suppose 0 = -107*d + 329 - 8. Solve -5/2*i**d - 5/2*i**4 + 0*i**2 + 0*i + 0 = 0.
-1, 0
Let r(p) = -10*p**2 - 8 + 9*p**2 - 1 + 8*p. Let w be r(4). Let 2*o - w*o + 15*o**2 - 5*o**4 + 15*o = 0. Calculate o.
-1, 0, 2
Let c(v) be the third derivative of -v**8/336 - v**7/14 + 19*v**6/120 + 43*v**5/60 - 13*v**4/4 + 16*v**3/3 + 122*v**2 + 2. Find w, given that c(w) = 0.
-16, -2, 1
Suppose -21*x = -28*x + 28. Factor x*w**4 - 15*w**3 + 4*w - 7*w**4 + 8*w**4 + 16*w.
5*w*(w - 2)**2*(w + 1)
Let n(q) be the second derivative of -q**7/28 - 7*q**6/20 + 3*q**5/20 + 13*q**4 + 56*q**3 + 96*q**2 + 4474*q. Let n(x) = 0. What is x?
-4, -2, -1, 4
Let w(k) be the first derivative of -k**5/10 + k**4/4 + 19*k**3/6 + 7*k**2 + 6*k - 7249. Factor w(i).
-(i - 6)*(i + 1)**2*(i + 2)/2
Let j(q) be the first derivative of q**5/20 - 5*q**4/4 + 25*q**3/2 + 2*q**2 + 12*q + 18. Let h(b) be the second derivative of j(b). Factor h(i).
3*(i - 5)**2
Let i(u) be the third derivative of u**9/141120 - u**8/23520 + 193*u**5/60 + u**2 + 4. Let a(m) be the third derivative of i(m). Factor a(x).
3*x**2*(x - 2)/7
What is a in 0 + 814*a**2 + 0*a + 1/2*a**3 = 0?
-1628, 0
Suppose 24 = -281*a + 289*a. Let r be 43/a - (-47 + 48). Factor 16/3*q**5 - 20/3*q**3 + 50/3*q**2 - r*q**4 + 8/3 + 40/3*q.
2*(q - 2)**2*(2*q + 1)**3/3
Factor -6345 + 99*h**2 + 19*h**3 - 22*h**3 + 5985 - 258*h.
-3*(h - 30)*(h - 4)*(h + 1)
Factor 37 + 21/2*x**2 + 189/4*x + 1/4*x**3.
(x + 1)*(x + 4)*(x + 37)/4
Suppose 47*l + 59*l = -23*l + 645. Let u(t) be the second derivative of 1/9*t**4 + 1/60*t**l - 34*t + 0 + 0*t**2 + 2/9*t**3. Solve u(m) = 0.
-2, 0
Let -11*u**2 + 0 + 2/3*u**3 + 0*u = 0. Calculate u.
0, 33/2
Factor -3841/4*o**2 - 1024 - 1/4*o**4 - 63/2*o**3 + 2016*o.
-(o - 1)**2*(o + 64)**2/4
Let s(l) be the first derivative of l**6/1080 - l**5/72 + 27*l**3 - 25. Let x(v) be the third derivative of s(v). Suppose x(i) = 0. Calculate i.
0, 5
Let v = 21/2315 - -1559/83340. Let d(f) be the second derivative of -42*f - v*f**4 + 0*f**2 + 1/18*f**3 + 0. Factor d(a).
-a*(a - 1)/3
Let f be (3/(-22))/(1749/(-1166)). Solve f*s**2 + 1/11*s**3 - 4/11 - 4/11*s = 0 for s.
-2, -1, 2
Let g(t) be the third derivative of -t**5/390 + 284*t**4/39 - 322624*t**3/39 - 2*t**2 - 292*t. Suppose g(m) = 0. Calculate m.
568
Suppose -10*k = -122 + 92. Let j(r) be the first derivative of 8 + 215/6*r**k - 10*r + 111/2*r**5 + 5*r**2 - 15*r**6 - 295/4*r**4. Let j(l) = 0. Calculate l.
-1/4, 2/3, 1
Let b(p) = p**3 - 8*p**2 - 8*p + 53. Let i(g) = g**3 - 8*g**2 - 9*g + 52. Let a(o) = -5*b(o) + 6*i(o). Let n be a(9). Solve 1/4*t**n + 0*t - 9/4 = 0 for t.
-3, 3
Let r(f) = f**4 - 45*f**3 - 90*f**2 + 6. Let q(o) = -2*o**4 + 135*o**3 + 270*o**2 - 17. Let a(d) = 6*q(d) + 17*r(d). Factor a(x).
5*x**2*(x + 3)*(x + 6)
Let g(u) be the second derivative of -u**7/630 + 7*u**6/180 - u**5/5 + 127*u**4/12 + 2*u + 39. Let p(v) be the third derivative of g(v). What is l in p(l) = 0?
1, 6
Let w(t) be the second derivative of -t**4/4 - 199*t**3/2 - 297*t**2 - 1567*t - 4. Let w(c) = 0. Calculate c.
-198, -1
Let u(i) = -28*i**2 - i + 1. Let r(g) = 2205*g**3 + 121611*g**2 + 23117*g + 1103. Let j(x) = -r(x) + 3*u(x). Determine z so that j(z) = 0.
-55, -2/21
Find q such that 0*q**3 - 10*q**2 + 24*q + 2/5*q**4 - 72/5 = 0.
-6, 1, 2, 3
Suppose -2*d + 5*i + 1 = -1, 14 = 4*d - 5*i. Suppose 2*x + 4 = 5*z, -4*z - 4*x + 23 = x. Find l, given that -3 - 2*l + l + d*l**2 + 5 - 7*l**z = 0.
-2, 1
Let p be (-49)/(-4)*(53 + -49). Suppose -12 = 4*f, -9*o + 5*o + p = 5*f. What is n in 4*n**3 + o*n - 66/5*n**2 - 32/5 - 2/5*n**4 = 0?
1, 4
Let i(g) be the second derivative of 3*g**5/10 - 53*g**4/4 - 767*g**3/2 - 555*g**2 + 8062*g. Factor i(n).
3*(n - 37)*(n + 10)*(2*n + 1)
Let h = 28624 - 28621. Let m(p) be the first derivative of p**4 + 4/5*p**5 - 2*p**2 - 4/3*p**h + 0*p - 26. Factor m(r).
4*r*(r - 1)*(r + 1)**2
Let r(w) be the third derivative of -w**7/1470 + 103*w**6/840 - 130*w**5/21 - 338*w**4/21 - 9749*w**2. Find t such that r(t) = 0.
-1, 0, 52
Let i(c) be the first derivative of c**3/12 + 37*c**2/8 + 35*c/2 + 352. Factor i(h).
(h + 2)*(h + 35)/4
Factor 9108*y**2 + 67*y - 3034*y**2 - 3037*y**2 - 3038*y**2 - 522.
-(y - 58)*(y - 9)
Let x = -128492/3 - -42831. What is q in 5/3*q - x*q**3 + 1 + 1/3*q**2 = 0?
-1, 3
Let n(a) = a**3 - 2*a**2 + a + 2. Let v(i) = 18*i**3 - 118*i**2 - 130*i - 34. Let q(s) = 20*n(s) - v(s). What is l in q(l) = 0?
-37, -1
Let c(b) be the third derivative of 7*b**8/24 + 2*b**7/15 - 67*b**6/30 - 174*b**5/35 - 135*b**4/28 - 18*b**3/7 + 38*b**2 + 9*b. Find a, given that c(a) = 0.
-1, -3/7, 2
Let m(t) = 2*t**3 + 6*t**2 + 8*t - 4. Let h(y) = -y + 1. Let f = 96 + -97. Let a(k) = f*m(k) - 4*h(k). Let a(r) = 0. What is r?
-2, -1, 0
Let k(n) = 2*n**3 + 1094*n**2 + 7*n - 7. Let z(f) = 364*f**2 + 2*f - 2. Let i(j) = 2*k(j) - 7*z(j). Factor i(b).
4*b**2*(b - 90)
Let y = -111382 - -779692/7