-96, 0, 2
Let y(b) = 5*b**3 - 8*b**2 + 29*b - 14. Let j(q) = 9*q**3 - 18*q**2 + 58*q - 28. Let n = 21 + -28. Let i(s) = n*y(s) + 4*j(s). Determine k so that i(k) = 0.
1, 14
Let o(v) = -v - 19. Let w(i) = i + 17. Let p(z) = -4*o(z) - 3*w(z). Let r be p(-21). Determine l, given that -r*l**2 - 1/2 + 3*l = 0.
1/4, 1/2
Suppose 678*d - 673*d = -2*z + 26, 5*z = 5*d - 5. Find h, given that 0 - 2/3*h**z + 40/3*h**2 - 200/3*h = 0.
0, 10
Let z(o) be the third derivative of -82*o**2 + 45/7*o**4 + 0 - 59/35*o**5 + 0*o + 1/7*o**6 - 81/7*o**3 - 1/245*o**7. Determine t, given that z(t) = 0.
1, 9
Let l(p) = 7*p**2 - 4*p - 7 + 5 + 0 - 3. Suppose 5*f + 19 - 49 = 0. Let m(n) = -13*n**2 + 7*n + 9. Let z(h) = f*m(h) + 11*l(h). Factor z(a).
-(a + 1)**2
Suppose -56*f - 2*y = -52*f - 506, f - 3*y - 144 = 0. Solve -12*d**3 + 180*d**2 + 38*d**4 - 48*d - 8*d**4 - 21*d**5 - f*d**4 = 0.
-4, -2, 0, 2/7, 1
Let v(d) be the second derivative of -d**4/54 - 413*d**3/27 + 46*d**2 + 439*d. Factor v(z).
-2*(z - 1)*(z + 414)/9
Let k(c) = 3*c - 12. Let n be k(12). Let g = -21 + n. Find m, given that -m**g + 2*m**3 - 15*m + 14*m = 0.
-1, 0, 1
Let j be (5/3)/((-9)/(-27)). Find m such that 5*m**j - 4*m**4 + 14*m**4 - 37*m**2 - 53*m**2 - 5*m**3 - 45*m - 35*m**3 = 0.
-3, -1, 0, 3
Suppose 51*l = -18*l + 207. Factor -332*f**2 + 12*f**l + 197*f**2 - 144*f + 343*f**2.
4*f*(f + 18)*(3*f - 2)
Let h(b) = -375*b - 1872. Let s be h(-5). Let t(l) be the first derivative of -50*l - 1/2*l**4 - 20 - 35*l**2 - 22/3*l**s. Factor t(c).
-2*(c + 1)*(c + 5)**2
Let c(h) be the third derivative of h**7/490 - h**6/70 + h**5/28 - h**4/28 + 2*h**2 + 33. Factor c(y).
3*y*(y - 2)*(y - 1)**2/7
Let c = -133 - 5. Let u = 48 - c. Factor 2*n + u*n**2 - 184*n**2 - 16 + 2*n.
2*(n - 2)*(n + 4)
Suppose 15 + 40 = 11*a. Suppose 0 = -0*f - a*f - 10*f. What is o in f - 15/4*o**2 - 1/2*o = 0?
-2/15, 0
Let i = 7 - 6. Let d be 24/7 - (-6)/(-14)*i. Factor 71*u**2 + 22*u**d + 13*u**3 - 61*u**2 + 25*u**4.
5*u**2*(u + 1)*(5*u + 2)
Let r(g) = g - 2. Let c be r(6). Factor 96 + 10*m + 8*m - c*m**2 + 74*m.
-4*(m - 24)*(m + 1)
Factor -261/4*z**3 + 131/2*z**2 + 0*z - 1/4*z**4 + 0.
-z**2*(z - 1)*(z + 262)/4
Let c(l) be the second derivative of 5*l**4/12 + 45*l**3/2 - 145*l**2 + 2007*l. Factor c(x).
5*(x - 2)*(x + 29)
Suppose -b - g = b - 18, 3*b - 40 = 5*g. Factor b + 88*x**4 - 36*x + 0 - 13*x**4 + 1 + 90*x**3 - 33*x**2 + 1.
3*(x + 1)**2*(5*x - 2)**2
Let i(l) = -l**2 + 19. Let u be i(5). Let q(s) = -11*s - 64. Let w be q(u). Factor -21*t**3 + 6*t - 13*t**2 - 32*t**2 - 3*t**4 + w*t - 35*t.
-3*t*(t + 1)*(t + 3)**2
Let l be (-10)/(-120)*-9 + (-765)/(-204). Let 0*s + 0*s**l - 2/11*s**4 + 0 + 1/11*s**5 + 0*s**2 = 0. Calculate s.
0, 2
Suppose 0 = l + l + 5*m + 15, l - 4*m = 12. Let v(o) be the third derivative of -2*o**2 + 0*o**3 + 0*o + 1/80*o**5 + 0 + l*o**4 + 1/160*o**6. Factor v(i).
3*i**2*(i + 1)/4
Let r(b) be the first derivative of -4*b - 6 - 9/8*b**4 - 7*b**2 - 5*b**3. Factor r(k).
-(k + 2)*(3*k + 2)**2/2
Let o be 8901/7396 - (4096/688 + -6). What is x in -10*x - 3 + 3*x**3 - 21/4*x**2 + o*x**4 = 0?
-3, -1, -2/5, 2
Let h(q) = 15327*q + 475139. Let b be h(-31). Find z, given that -14/5*z**b - 158/5*z - 44/5 = 0.
-11, -2/7
Let s(f) be the third derivative of -f**7/490 + f**6/40 + 19*f**5/140 - f**4/8 - 9*f**3/7 + 5798*f**2. Solve s(m) = 0.
-2, -1, 1, 9
Let l(n) = 5*n**2 + 21*n + 28. Let o(t) be the second derivative of 13*t**4/6 + 53*t**3/3 + 70*t**2 - 87*t. Let q(i) = 16*l(i) - 3*o(i). What is h in q(h) = 0?
-7, -2
Let n(j) be the second derivative of -7*j**4/2 - 502*j**3/9 + 16*j**2/3 - 2*j + 67. Find p, given that n(p) = 0.
-8, 2/63
Let -148/15*q**2 + 148/15*q**4 + 146/15*q - 48/5*q**3 + 0 - 2/15*q**5 = 0. What is q?
-1, 0, 1, 73
Let u(q) = 20*q**2 - 272*q - 4648. Let p(j) = j**2 - 1. Let x(v) = -v - 13. Let t be x(-12). Let b(z) = t*u(z) + 24*p(z). Let b(w) = 0. What is w?
-34
Let d(q) be the second derivative of -81*q - 1/6*q**4 + 1/50*q**5 - 16/5*q**2 + 0 - 22/15*q**3. Factor d(s).
2*(s - 8)*(s + 1)*(s + 2)/5
Let g be 1/(((-2)/87)/((-6)/(-9))). Let h = g + 31. Suppose 27*t + 15 + 4*t**h + 1 - 7*t = 0. Calculate t.
-4, -1
Let f(s) be the second derivative of -3*s**5/80 + 219*s**4/16 + 55*s**3/2 + 3*s - 679. Determine i, given that f(i) = 0.
-1, 0, 220
Suppose 15*c = c + 1512. Let a(n) = 1 + c*n**2 - 58*n**2 - 51*n**2. Let i(m) = 12*m**2 + 7*m - 5. Let q(z) = -22*a(z) - 2*i(z). Find t, given that q(t) = 0.
-6, -1
Let j(u) be the first derivative of -u**3/7 + 99*u**2/14 - 348*u/7 + 280. Factor j(a).
-3*(a - 29)*(a - 4)/7
Let a(n) be the first derivative of -3*n**4/14 + 782*n**3/21 - 512*n**2/7 - 1032*n/7 - 7180. Let a(i) = 0. Calculate i.
-2/3, 2, 129
Let j(z) be the first derivative of z**6/24 + 2*z**5/15 + z**4/8 - 37*z**2 + 118. Let w(g) be the second derivative of j(g). Factor w(x).
x*(x + 1)*(5*x + 3)
Let b(u) be the first derivative of 15/16*u**4 + 9/8*u**2 + 11/4*u**3 + 0*u - 201 - 9/20*u**5. Solve b(w) = 0 for w.
-1, -1/3, 0, 3
Determine t, given that 3/8*t**2 + 1820523/8 - 2337/4*t = 0.
779
Let j(i) be the second derivative of -1/30*i**5 - 5*i + 1/3*i**4 + 0*i**3 + 0 + 6*i**2. Let c(r) be the first derivative of j(r). Find g, given that c(g) = 0.
0, 4
Let b be (12 - (-6815)/(-564))/(2 + (-18)/8). Let a be 1/3*(0 - -1). Determine v, given that -1/3*v + v**2 - a*v**4 + b*v**3 - 2/3 = 0.
-1, 1, 2
Let z(x) be the first derivative of -x**5/40 + 11*x**4/32 + 157*x**3/8 + 2889*x**2/16 + 1215*x/4 - 622. Let z(f) = 0. Calculate f.
-9, -1, 30
Let c(y) = -27*y**3 - 397*y**2 + 6*y + 376. Let t(d) = 15*d**3 + 199*d**2 - 3*d - 187. Let w(f) = 4*c(f) + 7*t(f). Factor w(h).
-3*(h - 1)*(h + 1)*(h + 65)
Suppose 4*g + 2*v - 50 = 3*v, -34 = -3*g - v. Suppose 0 = -29*y + 23*y + g. Solve -215*f**2 - f + 107*f**y + 107*f**2 = 0 for f.
-1, 0
Suppose 26347*i - 26349*i = -5*n + 35, 0 = -3*i - n + 7. Let -16/9*d**3 + 0 + 0*d + i*d**2 - 76/9*d**4 + 182/9*d**5 = 0. What is d?
-2/13, 0, 4/7
Let l(a) = 14*a**5 - 15*a**4 - 71*a**3 - 232*a**2 - 288*a - 158. Let x(g) = -g**5 - g**3 + 2. Let u(s) = 2*l(s) + 30*x(s). Solve u(y) = 0 for y.
-4, -2, -1
Let p(l) = 9*l**2 + 825*l + 783. Let g(d) be the first derivative of d**3/3 + 103*d**2/2 + 98*d + 70. Let i(t) = -33*g(t) + 4*p(t). Let i(r) = 0. Calculate r.
-1, 34
Let h = 999 + -932. Suppose -68*z + h*z - 4*k - 14 = 0, 3*z - 26 = 5*k. Factor 0 + 1/2*w - 1/4*w**4 + 1/4*w**z - 1/2*w**3.
-w*(w - 1)*(w + 1)*(w + 2)/4
Let l(c) be the first derivative of -c**6/540 + c**5/15 - 22*c**3 - 45. Let h(d) be the third derivative of l(d). Let h(w) = 0. Calculate w.
0, 12
Let q = -2/388401 - -10486835/1553604. Find f such that 0 - 9/2*f**2 - q*f - 3/4*f**3 = 0.
-3, 0
Let d(a) be the second derivative of 1/4*a**5 + 15/2*a**2 + 25/12*a**4 - a + 35/6*a**3 - 4. Determine b so that d(b) = 0.
-3, -1
Let a(y) = y**2 - 33*y - 32. Let x be a(34). Solve -144*d + 293*d - 2 - 3*d**2 + d**x - 145*d = 0 for d.
1
Let z(v) = v**2 + 22*v + 53. Let w be z(-19). Let t(m) = -11*m - 42. Let l be t(w). Factor 0 + 0*n - 1/5*n**l.
-n**2/5
Let y be (-210)/(-45) + 1/(4 - 1). Suppose y*a - 30 = -15. Factor 2*h + 4*h + 9*h**2 + 0*h + a*h**3.
3*h*(h + 1)*(h + 2)
Let f be -1 + (2/(-4) - (-63)/18). Let r(s) = 19*s + 3. Let j be r(10). Suppose 193 + 12*o**f - j + 3*o**3 + 5*o + 7*o = 0. Calculate o.
-2, 0
Let g = 218491 - 218491. Let l(m) = -m - 4. Let o be l(-6). Factor 0 + 0*v**o + g*v - v**4 + 0*v**3 - 1/2*v**5.
-v**4*(v + 2)/2
Find r such that -119/3*r**3 - 56/3*r**4 - 75*r + 9 + 16/3*r**5 + 167*r**2 = 0.
-3, 1/4, 3
Let t(a) be the first derivative of a**3 + 528*a**2 + 1552. Determine g so that t(g) = 0.
-352, 0
Suppose 23 - 5 = -2*s. Let t(h) = -4*h - 16. Let o be t(s). Factor 0*p**2 + 10 - o - 12*p - 3*p**2 - 2.
-3*(p + 2)**2
Let j be (-6)/39 - (-548)/3744*2. Let t(n) be the second derivative of 0 + 0*n**2 + 1/72*n**4 - j*n**3 + n. Suppose t(x) = 0. Calculate x.
0, 5
Let b(l) be the second derivative of -l**5/60 + 35*l**4/12 - 403*l**3/2 + 41323*l**2/6 - 12*l - 198. Let b(v) = 0. Calculate v.
31, 43
Let g(o) = 4*o**4 + 2*o**3 + o**2 - o. Let i(s) = 5*s**4 - 38*s**3 - 103*s**2 - 68*s. Let r(m) = -2*g(m) + i(m). Factor r(b).
-3*b*(b + 1)*(b + 2)*(b + 11)
Suppose -6*g + 883 - 7747 = 0. Let f = -1141 - g. Solve 0*p + 15/2*p**f + 0 - 6*p**2 - 3/2*p**4 = 0 