*f**6/40 - 71*f**5/20 + 31*f**4/12 + 48*f**3 - 128*f**2 - 2922*f. Let i(g) = 0. Calculate g.
-2, 1, 2, 16
Let q(j) be the first derivative of -11*j**5/20 + 25*j**4/12 - j**3 - 128*j - 74. Let y(k) be the first derivative of q(k). Suppose y(m) = 0. What is m?
0, 3/11, 2
Let b(j) be the first derivative of -5*j**4 - 1715*j**3/3 - 1275*j**2/2 + 4698. Factor b(s).
-5*s*(s + 85)*(4*s + 3)
Let g be (-4)/(-94) - (-44655)/27495*(2 - 1). Determine l so that 5/3*l**3 + 10/3*l**2 - 10/3 - g*l = 0.
-2, -1, 1
Let o be 10 + ((-9105432)/(-7938) - (-8)/108). Suppose 360/7*a - o - 4/7*a**2 = 0. What is a?
45
Suppose 6*d - 28 = 2*d. Factor -d*c - 32*c**2 + 35*c + 28*c**2.
-4*c*(c - 7)
Let i(u) be the first derivative of u**7/840 - 7*u**6/480 - u**5/240 + 7*u**4/96 - 35*u**2/2 + 86. Let v(n) be the second derivative of i(n). Factor v(l).
l*(l - 7)*(l - 1)*(l + 1)/4
Suppose 6*u - 205 - 245 = 0. Solve 95*k**3 - 4*k**4 - u*k**3 - 16*k**2 - k + k = 0 for k.
0, 1, 4
Let d = 14 + -9. Let z = 1379/5 + -1367/5. Solve -21/5*l**3 + 24/5*l - z - 3/5*l**2 + 3*l**4 - 3/5*l**d = 0.
-1, 1, 2
Let i(m) be the first derivative of 25*m**5 - 225*m**4 - 630*m**3 - 594*m**2 - 243*m - 2343. Suppose i(k) = 0. What is k?
-3/5, 9
Let n = -14224 + 14227. Let u(r) be the second derivative of 4/3*r**n + 0*r**2 + 0*r**5 - 9*r + 2/15*r**6 - r**4 + 0. Determine d so that u(d) = 0.
-2, 0, 1
Suppose 0 = -5*y + 4*p - 38, 4*y - 28*p + 21*p = -76. Suppose -1/7*d**y + 0 - 16/7*d = 0. What is d?
-16, 0
Find w, given that 873*w**2 + 35*w**3 + 11297*w**2 - 121519 + 1056180*w + 0*w**3 - 181241 = 0.
-174, 2/7
Suppose -16 = 18*b - 13*b + 4*v, 0 = -2*b - 4*v - 16. Find i, given that 8/11*i**2 + 8/11*i - 2/11*i**4 - 2/11*i**3 + b = 0.
-2, -1, 0, 2
Let f(l) be the first derivative of -1/12*l**4 + l**2 + 0*l - 1/30*l**5 - 20 + 11/18*l**3. Let f(o) = 0. What is o?
-4, -1, 0, 3
Suppose 34 - 115 = -3*m. Let a(s) = -66*s**3 + 207*s**2 - 90*s - 390. Let u(v) = -5*v**3 + 16*v**2 - 7*v - 30. Let p(w) = m*u(w) - 2*a(w). Factor p(h).
-3*(h - 5)*(h - 2)*(h + 1)
Let x(b) = b - 29. Let w be x(31). Solve -2*l - l**w + 2*l**3 + 1301*l**4 + 2*l**3 - 1298*l**4 = 0 for l.
-1, 0, 2/3
Let l = 485/4 - 1451/12. Determine u, given that 0*u + 0 + 1/3*u**2 - 1/3*u**4 + l*u**5 - 1/3*u**3 = 0.
-1, 0, 1
Let n(t) be the third derivative of t**7/420 + 7*t**6/240 + 3*t**5/20 + 5*t**4/12 + 2*t**3/3 - 1579*t**2. Let n(r) = 0. Calculate r.
-2, -1
Let p(a) be the second derivative of 1/20*a**4 - a + 14/5*a**3 - 10 + 0*a**2. Factor p(i).
3*i*(i + 28)/5
Let i be (-702)/((-18)/126 - (-38)/(-28)). Let d = 1405/3 - i. Let -1/3*p**4 + d*p**5 + 0 + 0*p - 1/3*p**3 + 1/3*p**2 = 0. Calculate p.
-1, 0, 1
Suppose 21*r - 19*r - 3*q = 12, 5*r - 2*q = 19. Solve -42*x**2 - 12 - 16*x**2 - 16*x**r - 64*x - 10*x**2 = 0.
-3, -1, -1/4
What is q in 2126 + 8330 + 496 + 13787*q**2 - 4677*q**2 - 1825*q**3 - q**5 + 80*q**4 - 17020*q = 0?
2, 37
Let p = -253/859 - -1871/3436. Solve -3/2 - p*l**3 - 1/4*l + l**2 = 0 for l.
-1, 2, 3
Let i be (-1318)/(-18) + (-2 - (-32)/18). Find n such that 53*n**4 - n**4 - 4*n**5 + 100 - 305*n**3 + 424*n**2 + i*n**3 - 340*n = 0.
1, 5
Let n(m) be the third derivative of 0*m - 1/42*m**7 + 0*m**3 + 0 + 84*m**2 - 23/120*m**6 - 8/15*m**5 - 1/2*m**4. Factor n(u).
-u*(u + 2)**2*(5*u + 3)
Suppose 0*y - 174*y**3 + 0*y**2 + 0 - 1/3*y**4 = 0. Calculate y.
-522, 0
Suppose 0 = 4887*k - 4815*k - 144. Determine p so that 0 - 3/8*p - 3/4*p**k = 0.
-1/2, 0
Let q(p) be the second derivative of p**2 - 26*p + 1/48*p**4 + 1/4*p**3 + 0. Suppose q(d) = 0. What is d?
-4, -2
Let l be (((-15)/(-6))/5)/((-18)/144). Let b be l/38 - 2340/(-570). Suppose 4/5*d**2 + 16/5*d - b = 0. Calculate d.
-5, 1
Let m(b) be the first derivative of b**5 - 205*b**4/4 + 2815. Factor m(c).
5*c**3*(c - 41)
Let a = -515927 + 515935. Determine q, given that 2*q**4 + 26/3*q**2 + 47/6*q**3 - a*q - 32/3 + 1/6*q**5 = 0.
-4, -1, 1
Let r(a) be the third derivative of -9*a**3 + 0*a + 0 + 7/4*a**4 + 1/180*a**6 + 17/90*a**5 - a**2. Factor r(z).
2*(z - 1)*(z + 9)**2/3
Let x = 10130 - 496280/49. Let u = -34/49 + x. Let -4/7*m**3 + 6/7*m + 0 - 2/7*m**5 - 8/7*m**2 + u*m**4 = 0. What is m?
-1, 0, 1, 3
Let v(b) = 2*b**4 - 2*b**3 - 44*b**2 + 76*b - 42. Let a(i) = i**3 - i**2 + 1. Let y(l) = -20*a(l) - 2*v(l). Find t, given that y(t) = 0.
-8, 1, 2
Let l(f) be the third derivative of 2*f**3 + 0*f + 0 + 182*f**2 + 7/60*f**5 + 31/24*f**4. Solve l(p) = 0.
-4, -3/7
Suppose -s - 2*b + 8 = 0, -5*s + 2*b = -2*b + 2. Let o = -223/72 - -4223/1224. Factor -2/17*y**3 + o*y**s - 8/17 + 0*y.
-2*(y - 2)**2*(y + 1)/17
Let a(y) be the third derivative of -y**5/60 - 4*y**4/3 - 56*y**3/3 - 217*y**2. Solve a(k) = 0 for k.
-28, -4
Let j = 133 - 150. Let n be j/(-88) + -8*(-5)/220. Factor 0*a**2 - 3/8*a**3 + n*a + 0.
-3*a*(a - 1)*(a + 1)/8
Let t(h) = -h**2 + 36*h - 21. Let b(c) = -c**2 + 37*c - 15. Let f be (-3)/6 + 6 + (-75)/10. Let o(s) = f*b(s) + 3*t(s). Factor o(l).
-(l - 33)*(l - 1)
Let r = 87784/7 - 87782/7. Determine z so that -r*z**3 + 0 + 18/7*z**2 - 4*z = 0.
0, 2, 7
Suppose 4*y - 3*g = -27, 3*y + 2*g - 1 = -0. Let c(b) = 2*b**3 + b**2. Let n(h) = 4*h**3 - 9*h**2 - 18*h - 8. Let a(v) = y*c(v) + n(v). Factor a(s).
-2*(s + 1)**2*(s + 4)
Suppose 27*i**3 + 6050 + 1/2*i**4 + 949/2*i**2 + 2970*i = 0. What is i?
-22, -5
Let w = 519 + -515. Factor -5*q**3 + 10*q**w - 191*q**2 + 261*q**2 - 17*q**3 + 167*q**3.
5*q**2*(q + 14)*(2*q + 1)
Let b(z) be the second derivative of -3*z**5 + 1/6*z**6 + 0*z**3 + 23 + z + 0*z**2 + 55/12*z**4. What is g in b(g) = 0?
0, 1, 11
Let x(q) be the first derivative of 11*q**4/18 - 23*q**3 - 38*q**2/3 + 122*q - 220. Let o(a) be the first derivative of x(a). Factor o(i).
2*(i - 19)*(11*i + 2)/3
Solve 0*j**2 + 0*j + 0 - 2/9*j**4 - 194/9*j**3 = 0 for j.
-97, 0
Solve -1/12*y**4 + 5/12*y**3 + 1/2*y**2 + 0*y + 0 = 0.
-1, 0, 6
Suppose 27*n - 286 = 92. Let y be (6/(-42) + 1)*n/8. Determine h, given that -y*h - 1/2*h**3 - 1/2 - 3/2*h**2 = 0.
-1
Let b be (-873)/(-420) - (-5)/(-10). Let a = 6/35 + b. Factor 3/4*v + 0 + 1/4*v**4 + 5/4*v**3 + a*v**2.
v*(v + 1)**2*(v + 3)/4
Let h be ((-25)/((-400)/4))/((-9)/(-744)). Find z, given that 8/3 - 10/3*z**5 + h*z**2 + 26/3*z**3 + 40/3*z - 14/3*z**4 = 0.
-1, -2/5, 2
Let r be 8 - 10 - (-6)/(-3)*-4. Solve 14*x**4 + 2*x**5 + 3*x**3 - r*x**4 - 13*x**3 = 0 for x.
-5, 0, 1
Let m(z) be the third derivative of -z**7/105 - z**6/10 + 4*z**5/15 + z**4/2 - 7*z**3/3 - 78*z**2 - z - 10. Suppose m(i) = 0. What is i?
-7, -1, 1
Suppose -267*r = -265*r - 3*q - 23, -q - 5 = 0. Let k = 3 - 1. Factor -i**r + 35*i**k - 34*i**2 + 2*i + i**3 - 3*i.
-i*(i - 1)**2*(i + 1)
Let k(b) be the third derivative of b**7/210 + 37*b**6/120 + 53*b**5/10 + 215*b**4/6 + 364*b**3/3 + 3832*b**2. Factor k(w).
(w + 2)**2*(w + 7)*(w + 26)
Suppose 0 = 4*f + 3*t - 54, 3 = -4*f + 5*t + 41. Let s(x) = -x**2 + 15*x - 11. Let a be s(f). Factor 21*o**2 - 31*o**2 + 0*o**4 + 35*o**4 + a*o**3.
5*o**2*(o + 1)*(7*o - 2)
Let q = -587 + 1461. Let a = q + -874. Let a*g + 0 - 2/5*g**3 + 0*g**2 = 0. What is g?
0
Suppose 2*x = -c + 13, -6*c - 13 + 41 = 2*x. Suppose -5*n = -2*w, -n + x*w - 19 = 2*n. Let n*r - 1/2*r**3 + 0 + 0*r**2 = 0. Calculate r.
-2, 0, 2
Let r(n) be the first derivative of -1/9*n**3 + 65 + 1/6*n**2 + 0*n. Let r(d) = 0. Calculate d.
0, 1
Let m(i) be the second derivative of -3*i**5/20 + 83*i**4 - 658*i**3 + 1968*i**2 + 92*i - 5. Factor m(c).
-3*(c - 328)*(c - 2)**2
Let v = 936 - 927. Suppose 3*i + 3 = v. What is r in -2/3 + 1/3*r**i + 1/3*r = 0?
-2, 1
Suppose 664*m - 83 = v + 659*m, -13*v + 3*m - 25 = 0. Factor 3/5*j**v + 2535 - 78*j.
3*(j - 65)**2/5
Let d(h) = 2*h**2. Let t(f) = 22*f**2 - 7*f**2 - 35*f - 2 + 8 + 16 + 28. Let k(w) = 5*d(w) - t(w). Factor k(a).
-5*(a - 5)*(a - 2)
Factor -17*d**2 + 115 - 18*d**2 + 66*d**2 - 30*d**2 + 28*d.
(d + 5)*(d + 23)
Let i(g) be the second derivative of -g**4/48 + 37*g**3/12 + 19*g**2 - 583*g + 2. Determine k so that i(k) = 0.
-2, 76
Let t(u) be the second derivative of -u**7/2940 + u**6/630 + 2*u**5/105 + 2*u**3/3 - 5*u**2 + 28*u - 1. Let f(k) be the second derivative of t(k). Factor f(n).
-2*n*(n - 4)*(n + 2)/7
Suppose 4763*b = 4734*b + 928. Let w(t) be the first derivative of 7 + 81/2*t**4 - 30*t**3 - b*t**2 - 8*t. Factor w(s).
2*(s - 1)*(9*s + 2)**2
Suppose -30*t + 2