. Calculate i.
-2/3, -2/7, 0, 1/51, 1/4
Let l(p) be the second derivative of 0 + 2/9*p**3 - 2/3*p**2 + 1/36*p**4 - 20*p - 1/60*p**5. Solve l(g) = 0.
-2, 1, 2
Let x(o) be the third derivative of -134*o**7/35 - 203*o**6/30 - 2*o**5/15 - o**2 + 2*o - 599. Factor x(n).
-4*n**2*(n + 1)*(201*n + 2)
Let k(j) be the first derivative of 87*j**4/28 + 191*j**3/21 + 15*j**2/7 - 8*j/7 - 1. Find p such that k(p) = 0.
-2, -1/3, 4/29
Let f(v) be the first derivative of 20*v**2 - 1/2*v**4 + 48*v + 4/3*v**3 + 129. Find a, given that f(a) = 0.
-2, 6
Let y(f) be the second derivative of -f**5/5 - 5*f**4 - 18*f**3 + 486*f**2 - 528*f. Let y(m) = 0. What is m?
-9, 3
Let g = 900/133 + -8836/1463. Factor 2/11*o + g*o**2 - 10/11*o**3 + 0.
-2*o*(o - 1)*(5*o + 1)/11
Let m = -12541/133 + -1357/19. Let a = m + 166. Factor 0 - a*y**2 + 2/7*y.
-2*y*(y - 1)/7
Let m = 94 + -79. Factor -255*x**4 + m*x**3 - 5*x**3 + 260*x**4.
5*x**3*(x + 2)
Let u(l) be the third derivative of l**7/70 + 11*l**6/40 - l**5/5 - 11*l**4/2 + 5*l**2 + 11*l + 7. Determine j so that u(j) = 0.
-11, -2, 0, 2
Let r(m) be the first derivative of 4*m**3/9 + 256*m**2/3 - 172*m + 716. Determine j so that r(j) = 0.
-129, 1
Let j = -38 - 28. Let c = 70 + j. Let t(n) = -5*n**2 + 11*n - 8. Let v(x) = 4*x**2 - 10*x + 8. Let h(a) = c*t(a) + 6*v(a). Determine r, given that h(r) = 0.
2
Let d(n) be the third derivative of -n**7/42 - n**6/72 + n**5/8 + 11*n**3/6 + n**2 - 6*n. Let x(b) be the first derivative of d(b). Factor x(u).
-5*u*(u + 1)*(4*u - 3)
Factor 2*r**3 + r**3 + 4*r + 0 - 708*r**2 - 7*r**3 + 712*r**2 - 4.
-4*(r - 1)**2*(r + 1)
Let o(b) be the second derivative of b**7/14 - 3*b**6/4 + 3*b**5/8 + 15*b**4/8 - 7*b**3/4 - 10*b + 16. Suppose o(n) = 0. What is n?
-1, 0, 1/2, 1, 7
Factor -2*s - 1719*s**3 + 505*s**2 - 1750*s**3 + 63*s + 3514*s**3 + 49*s.
5*s*(s + 11)*(9*s + 2)
Suppose 13*t = 1061 + 928. Determine r so that 5*r**4 + 30*r - 74*r**2 - 133*r**3 + t*r**3 + 19*r**2 = 0.
-6, 0, 1
Let -897*i**2 + 1622*i**2 - 102*i**4 + 8*i + 20*i**5 - 821*i**2 + 170*i**3 = 0. What is i?
0, 1/10, 1, 2
Let p(y) be the second derivative of y**5/20 + 29*y**4/12 + 103*y**3/6 + 75*y**2/2 - 144*y + 5. Let p(c) = 0. What is c?
-25, -3, -1
Let g be -3 + 138*(-10)/(-30). Suppose -30*v - g = -103. Factor -2/9*q**v + 0*q + 8/9.
-2*(q - 2)*(q + 2)/9
Suppose -p - 8*p = -2556. Let p*i**4 - 4*i**5 + 8*i**5 - 210323 - 209581 + 326592*i + 85536*i**2 - 669*i**3 + 8157*i**3 = 0. What is i?
-18, 1
Let i(g) = -3*g**3 - 71*g**2 + 153*g - 77. Let n(q) = -19*q**3 - 425*q**2 + 920*q - 463. Let y(u) = 26*i(u) - 4*n(u). Find p such that y(p) = 0.
-75, 1
Suppose 48 = 19*f - 7*f + 24. Determine x so that 10/19 - 2/19*x**f - 8/19*x = 0.
-5, 1
Let q = 598 + -697. Let c be (-15)/4 - (7 + q/9). Determine w so that 0*w - c*w**4 - 1/2*w**2 - 3/4*w**3 + 0 = 0.
-2, -1, 0
Let g(i) be the second derivative of -i**7/70 - 9*i**6/50 - 9*i**5/20 - 7*i**4/20 + 475*i. Let g(p) = 0. Calculate p.
-7, -1, 0
Let w(r) be the second derivative of -16/7*r**2 + 240*r + 1/42*r**4 + 0*r**3 - 1. Factor w(m).
2*(m - 4)*(m + 4)/7
Factor 0 + 1892/5*m - 4/5*m**2.
-4*m*(m - 473)/5
Determine k so that -1069*k**2 + 196*k + 1434 - 1602 + 736*k - 28*k**4 - 319*k**2 + 652*k**3 = 0.
2/7, 1, 21
Let k(p) be the third derivative of p**6/480 + p**5/32 - 7*p**4/16 + 61*p**3/2 + 50*p**2 + 1. Let s(x) be the first derivative of k(x). Factor s(r).
3*(r - 2)*(r + 7)/4
Let r be 84 + 1566708/(-18755) - 2/31. Solve -78/5 - 74/5*m**2 - 154/5*m + r*m**3 = 0.
-1, 39
Let g(b) be the second derivative of 3*b**5/80 - b**4/2 - 5*b**3/2 - 1415*b. Factor g(f).
3*f*(f - 10)*(f + 2)/4
Let g(a) be the third derivative of 11*a + 1/30*a**5 + 0 - 5/2*a**3 + 3*a**2 - 7/24*a**4. Find z, given that g(z) = 0.
-3/2, 5
Let z(y) = y**2 - 5*y + 6. Let v be z(4). Factor -s**v + 175*s + 6*s**2 - 175*s.
5*s**2
Suppose w - 227 = 85. Factor -w + 83*a + 382 - 4*a**2 - a**2 - 18*a.
-5*(a - 14)*(a + 1)
Let j(v) = -13*v**2 + 32*v - 15 + 8*v**2 + 13. Let s(a) = -a**2 + a - 1. Let n(c) = j(c) - 2*s(c). Factor n(i).
-3*i*(i - 10)
Find i, given that -346/11*i - 80/11*i**4 - 2/11*i**5 + 24 + 348/11*i**3 - 184/11*i**2 = 0.
-44, -1, 1, 3
Let w be ((-1140)/(-135) + -2)*-3 + 24. Determine k so that -w + 3*k - 1/3*k**2 = 0.
2, 7
Let b(h) = 4*h**3 + 21*h**2 + 14*h - 9. Let m(w) = 9*w**3 + 43*w**2 + 27*w - 21. Let v(k) = 7*b(k) - 3*m(k). Suppose v(t) = 0. Calculate t.
-17, -1, 0
Let s(r) be the second derivative of 113288*r**4/69 + 4760*r**3/69 + 25*r**2/23 - 5544*r. Solve s(a) = 0 for a.
-5/476
Let h(b) be the second derivative of -b**7/91 + 8*b**6/195 - 2*b**5/65 - 1658*b. Solve h(y) = 0 for y.
0, 2/3, 2
Let u(k) be the first derivative of 3*k**4/4 + 27*k**3/4 + 57*k**2/4 + 45*k/4 + 8517. Factor u(c).
3*(c + 1)*(c + 5)*(4*c + 3)/4
Let c(q) be the second derivative of q**6/135 + 7*q**5/90 - 11*q**4/27 - 28*q**3/27 + 8*q**2 - 1744*q - 1. Let c(p) = 0. What is p?
-9, -2, 2
Let u = 25712 + -25709. Let y(s) be the second derivative of -2/105*s**6 - 1/35*s**5 - u*s + 0 + 0*s**2 + 4/21*s**4 + 8/21*s**3. Factor y(b).
-4*b*(b - 2)*(b + 1)*(b + 2)/7
Let h(d) be the third derivative of -d**7/420 - 47*d**6/80 - 413*d**5/120 + 47*d**4/16 + 69*d**3/2 + 4*d**2 - 556. Suppose h(m) = 0. Calculate m.
-138, -3, -1, 1
Let r(c) be the third derivative of -5*c**8/336 - 2*c**7/7 + 7*c**6/12 + c**5 - 65*c**4/24 + 483*c**2. Solve r(l) = 0 for l.
-13, -1, 0, 1
Suppose -4*w - 2953 = -0*h + 3*h, -h = 3. Let y = -733 - w. Let 1/3 - i**y - 1/3*i**2 + i = 0. Calculate i.
-1, -1/3, 1
Let y(r) = 2*r**3. Let i(t) = 2*t**3 + 10*t - 10*t. Let l = 381 - 377. Let q(p) = l*i(p) - 3*y(p). Factor q(v).
2*v**3
Factor -390/7*r + 56 - 2/7*r**2.
-2*(r - 1)*(r + 196)/7
Let i(v) be the third derivative of 0*v - 213*v**2 + 0 + 0*v**3 + 1/6*v**5 - 5/24*v**6 + 0*v**4. Factor i(x).
-5*x**2*(5*x - 2)
Let v(d) be the second derivative of d**5/330 - d**4/44 + 2*d**3/33 - 43*d**2/2 - 31*d - 2. Let y(z) be the first derivative of v(z). Factor y(f).
2*(f - 2)*(f - 1)/11
Factor 16900 + 1/4*j**2 - 130*j.
(j - 260)**2/4
Find a such that 54*a - 4*a**5 + 127*a**2 - 50*a**3 - 17*a**2 - 49*a**4 - 10*a**4 - 51*a**4 = 0.
-27, -1, -1/2, 0, 1
Find p such that 1/2*p**4 + 0 + 3/2*p**3 + p**2 + 0*p = 0.
-2, -1, 0
Let t(k) = -7*k**2 - 9*k - 14. Let z(i) be the third derivative of 3*i**5/20 + 7*i**4/24 + 13*i**3/6 + i**2. Let s(u) = -5*t(u) - 4*z(u). Factor s(x).
-(x - 18)*(x + 1)
Solve -46/5*x**2 + 9 + 44/5*x - 44/5*x**3 + 1/5*x**4 = 0 for x.
-1, 1, 45
Let m(s) = s - 15. Let g be m(21). Factor -17*r**3 - 1097*r**5 + 12*r**4 + 1095*r**5 - g*r - 7*r**3 + 20*r**2.
-2*r*(r - 3)*(r - 1)**3
Let x = -3276 + 3278. Factor 44/7*q**x + 4/7 + 30/7*q.
2*(2*q + 1)*(11*q + 2)/7
Let c be (-66 + 25954/399)*((-24)/5)/2. Suppose -2/7*t**2 - c + 12/7*t = 0. What is t?
2, 4
Let t(q) be the first derivative of q**3 + 108*q**2 + 816*q + 7982. Solve t(u) = 0.
-68, -4
Let c(h) be the third derivative of -1/8*h**3 + 1/480*h**6 + 77*h**2 - 5/96*h**4 + 0*h + 0 - 1/240*h**5. What is m in c(m) = 0?
-1, 3
Suppose 2*o = -214*w + 212*w + 22, 2*o - 10 = 4*w. Factor 7/3*m**2 + 25/6*m + 1/6*m**3 + w.
(m + 1)**2*(m + 12)/6
Let w(d) be the third derivative of 169*d**8/84 + 13*d**7/21 - 1543*d**6/30 - 581*d**5/30 + 33*d**4 - 12*d**3 - 1659*d**2. Solve w(k) = 0.
-3, -1/2, 2/13, 3
Suppose 36*d - 138*d = 33*d. Let z(c) be the third derivative of 5*c**2 + d - 1/90*c**5 + 2/27*c**4 - 4/27*c**3 + 0*c. Factor z(x).
-2*(x - 2)*(3*x - 2)/9
Let a be (-4)/(-4) + (-1)/(3 + -2). Let q be ((-297)/108 - 2/8) + 5. Factor 9/2*m**q - 3*m + a.
3*m*(3*m - 2)/2
Let b(w) be the second derivative of -21*w**4/4 - 20*w**3 + 6*w**2 + 527*w. Factor b(s).
-3*(s + 2)*(21*s - 2)
Let z(h) be the second derivative of -h**6/30 - h**5/10 + 41*h**4/12 + 7*h**3 + 299*h. Suppose z(k) = 0. What is k?
-7, -1, 0, 6
Factor 5*t**2 - 320 + 103*t + 99*t - 202*t.
5*(t - 8)*(t + 8)
Let x(u) be the second derivative of -119*u**5/10 - 25*u**4/3 + 8*u**3 + 134*u - 9. Determine p, given that x(p) = 0.
-12/17, 0, 2/7
Suppose 4*u + 2*l = 3*l + 22, 3*u = 5*l + 25. Factor -500*t - 61*t**3 - u*t**5 - 644*t**3 - 1326*t**4 + 1216*t**4 - 1100*t**2.
-5*t*(t + 1)**2*(t + 10)**2
Suppose -3*h + 2524 = 4*s, -h + 5*h = -4*s + 2528. What is o in -1252*o**2 + 624*o**2 + s*o**2 + 2*o**4 + 4*o**3 = 0?
-2, 0
Factor 