derivative of f**6/270 + 13*f**5/45 - 3*f**4/2 - 43*f**3/3 + 36*f**2 - f. Let d(h) be the first derivative of c(h). Solve d(y) = 0 for y.
-27, 1
Let s(h) = h**2 + 7*h + 28. Let r be s(-6). Factor -14*i + 19 - 7*i**3 - r*i**2 - 3*i**3 - 21.
-2*(i + 1)**2*(5*i + 1)
Let x(z) be the second derivative of z**4/24 + 66*z**3 + 39204*z**2 + 1009*z. Factor x(q).
(q + 396)**2/2
Find r such that 2/13*r**2 + 2044/13*r + 522242/13 = 0.
-511
Let i be (-2248)/(-188) - 12 - (-4)/94. Determine u, given that i*u + 0 - 4/5*u**3 + 0*u**2 - 3/5*u**4 + 1/5*u**5 = 0.
-1, 0, 4
Let d(l) = -l. Let y(g) = -g**2 - 2*g - 1. Let m(r) = 2*d(r) - y(r). Let t(n) = -2*n**3 + 6*n**2 - 22*n + 6. Let f(z) = -6*m(z) - t(z). Solve f(o) = 0 for o.
1, 2, 3
Let b(r) be the second derivative of -r**7/84 - r**6/20 + 17*r**5/10 - 17*r**4/2 + 44*r**3/3 - 13038*r. Suppose b(j) = 0. What is j?
-11, 0, 2, 4
Factor 1/2*p**3 - 12*p**2 + 11/2*p + 138.
(p - 23)*(p - 4)*(p + 3)/2
Let r(v) be the first derivative of v**4/14 + 16*v**3/21 - 31*v**2/7 + 44*v/7 + 815. Solve r(z) = 0 for z.
-11, 1, 2
Let p = -67830/13 + 5218. Solve 0 - 10/13*i**2 - 4/13*i - 2/13*i**3 + p*i**4 = 0 for i.
-1, -1/2, 0, 2
Suppose 928/7 + 84*g**3 + 18/7*g**4 + 1994/7*g**2 + 336*g = 0. What is g?
-29, -4/3, -1
Let n = -299 - -349. Find u such that -258 + 96 - n + 320*u - 92*u**2 - 92 + 4*u**3 = 0.
2, 19
Suppose -582 + 584 = q. Factor -4*y**q + 118 + 107 + 4*y + 59*y + 42*y - 5*y**3 - y**2.
-5*(y - 5)*(y + 3)**2
Let v(m) = -32*m**4 - 12*m**3 + 784*m**2 + 1428*m - 2240. Let k(h) = 13*h**4 + 5*h**3 - 313*h**2 - 571*h + 896. Let g(w) = 12*k(w) + 5*v(w). Factor g(u).
-4*(u - 7)*(u - 1)*(u + 4)**2
Let y = -15494/3 - -5166. Let v(x) be the first derivative of -1 + y*x**3 + 0*x - x**4 + 4*x**2. Factor v(a).
-4*a*(a - 2)*(a + 1)
Let h(a) = -9*a - 61. Let c be h(-7). Factor -8*r - 7 + 4*r**c + 14 - 19.
4*(r - 3)*(r + 1)
Let w(k) be the first derivative of -84/5*k**4 + 107 - 44/25*k**5 + 0*k - 1/15*k**6 - 196/3*k**3 - 343/5*k**2. Factor w(h).
-2*h*(h + 1)*(h + 7)**3/5
Find j, given that 32 + 2/3*j**5 + 2/3*j**4 + 64/3*j - 8*j**3 - 32/3*j**2 = 0.
-2, 2, 3
Let l(t) be the second derivative of 196/3*t**2 - 3/2*t**4 + 56/3*t**3 + 1/30*t**5 - 58*t + 0. Factor l(m).
2*(m - 14)**2*(m + 1)/3
Suppose 3*p = -2*x + 2294, 80*p - 84*p = -2*x + 2322. Let a = 1156 - x. Factor 0 + 0*h + 0*h**a - 2/7*h**2 + 2/7*h**4.
2*h**2*(h - 1)*(h + 1)/7
Let u(q) be the second derivative of 0*q**3 - 1/100*q**5 - 50*q - 1/20*q**4 + 0 + 0*q**2. Factor u(l).
-l**2*(l + 3)/5
Let p(n) = -6*n**3 - 3*n**2 - 9*n + 14. Let u be p(4). Let l = u - -3202/7. Factor -10/7*q**2 - 8/7 + l*q.
-2*(q - 2)*(5*q - 2)/7
Let f(p) be the second derivative of -p**8/30240 - 19*p**7/11340 + p**6/162 + 2*p**4/3 + p**3/3 - 144*p. Let d(u) be the third derivative of f(u). Factor d(j).
-2*j*(j - 1)*(j + 20)/9
Let a(c) be the third derivative of -c**5/60 - c**4/6 + 10*c**3 + 726*c**2. Factor a(s).
-(s - 6)*(s + 10)
Let l(k) be the first derivative of -3*k**5/35 + 123*k**4/14 - 237*k**3/7 - 6*k**2/7 + 948*k/7 - 4888. Let l(y) = 0. What is y?
-1, 2, 79
Let s be (3/2)/((-6)/(-8)). Let n be (5/(-17))/((-2590)/26418). Solve -9/4*l**s - 1/4*l**n + 5/2*l + 0 = 0.
-10, 0, 1
Let l(z) be the second derivative of 3*z**5/140 - 135*z**4/28 - 837*z**3/14 - 3807*z**2/14 + 2*z - 551. Determine f so that l(f) = 0.
-3, 141
Suppose 0 = 2*c + b - 10, 2*c + 2*b - 53 = -39. Factor 0*h**5 - 9883*h**3 - 6*h**4 + 9871*h**c + 2*h**5 - 3*h**5 - 8*h**2.
-h**2*(h + 2)**3
Let h(v) = -v**2 + 59*v - 824. Let f be h(36). Let g(z) be the second derivative of 47*z - 1/3*z**f - 4*z**3 - 10*z**2 + 0. Factor g(l).
-4*(l + 1)*(l + 5)
Let v = 61165/9 + -6796. Let i(d) be the third derivative of 0 - v*d**4 + 0*d + 4/9*d**3 + 1/90*d**5 - 13*d**2. Factor i(y).
2*(y - 2)**2/3
Let b(y) be the first derivative of y**6/10 - 6*y**5/5 + 11*y**4/4 + 10*y**3 - 115*y + 110. Let d(k) be the first derivative of b(k). Let d(i) = 0. What is i?
-1, 0, 4, 5
Let t(s) be the second derivative of s**4/4 - 75*s**3/2 - 231*s**2 + s - 3437. Determine v so that t(v) = 0.
-2, 77
Let m(o) be the second derivative of o**7/840 - 7*o**6/360 + o**5/20 - 23*o**3/3 + 112*o. Let t(r) be the second derivative of m(r). Factor t(y).
y*(y - 6)*(y - 1)
Suppose 95*y = 90*y - 3*d + 42, y + 2*d = 21. Let n(w) be the second derivative of 10*w + 1/10*w**2 + 1/30*w**y - 1/100*w**5 + 0 - 1/60*w**4. Factor n(h).
-(h - 1)*(h + 1)**2/5
Suppose 3*z - 6*z = 0, 3*m = -z + 459. Let p = -149 + m. Determine w so that 4/3*w**2 + p*w + 8/3 = 0.
-2, -1
Factor -236/3*b + b**3 - 56 + 26/3*b**2.
(b - 6)*(b + 14)*(3*b + 2)/3
Let f(o) be the second derivative of -1/48*o**4 + 1/8*o**2 - 1/24*o**3 + 1/80*o**5 - 14 - o. Determine n so that f(n) = 0.
-1, 1
Let m = -178 + 180. Find y, given that y**m - 3*y - 9 + y + 4*y + 1 = 0.
-4, 2
Suppose -6*y = -5*y - 8. Let l be 60/14 - y/28. Factor -4*n**3 + l*n + 4 + 0 + 2*n**4 - 6.
2*(n - 1)**3*(n + 1)
Let m(b) be the third derivative of -b**7/210 - 4*b**6/15 - 3*b**5/2 - 11*b**4/3 - 5*b**3/2 - 41*b**2. Let w(x) be the first derivative of m(x). Factor w(k).
-4*(k + 1)**2*(k + 22)
Let l(r) = r**2 + 13*r - 70. Let n be l(5). Factor -173*s**3 - 27*s + 11*s + 177*s**3 + n*s**2 - 8*s**2.
4*s*(s - 1)*(s + 4)
Let g(t) = -6*t**2 - 6*t + 17. Suppose -3*d = 4*s + 29, 2*d - 3 = 3*d. Let i(m) = 7*m**2 + 5*m - 18. Let f(u) = s*i(u) - 6*g(u). Factor f(y).
(y - 1)*(y + 12)
Let i(f) = 12*f**2 + 8. Let v = 97 - 89. Let d(c) = -2*c**2 + 1. Let l(j) = v*d(j) + i(j). Determine h so that l(h) = 0.
-2, 2
Let s = -940 - -920. Let a be (5/135*-3)/(s/312). Find j, given that 2/3*j**2 - a*j + 14/15 + 2/15*j**3 = 0.
-7, 1
Let n(y) = -4*y**4 + 10*y**3 + 16*y**2 - 70*y - 12. Let a = -269 - -263. Let m(w) = w**3 + w + 2. Let o(t) = a*m(t) - n(t). Factor o(u).
4*u*(u - 4)*(u - 2)*(u + 2)
Determine y so that 0 - 98*y - 2/5*y**3 - 84/5*y**2 = 0.
-35, -7, 0
Let w(q) be the first derivative of -q**6/36 - 193*q**5/30 + 983*q**4/24 - 461*q**3/6 + 99*q**2/2 + 7290. Find l such that w(l) = 0.
-198, 0, 1, 3
Let -4/7*d**4 - 66/7*d**2 + 76/7*d - 54/7*d**3 + 48/7 = 0. Calculate d.
-12, -2, -1/2, 1
Let s be (1128/47)/(-4)*(-1)/9. Find m, given that -s*m**3 + 2/3*m - 1/3*m**4 + 1/3*m**2 + 0 = 0.
-2, -1, 0, 1
Let i(x) be the third derivative of x**8/22680 - 83*x**7/11340 - 7*x**6/270 + 69*x**5/20 - 14*x**2 - 1. Let j(c) be the third derivative of i(c). Factor j(t).
4*(t - 42)*(2*t + 1)/9
Let y be 1166/((-4770)/45) + ((-210)/(-9))/2. Solve -1/2*o**2 + 0 + 5/6*o**3 - y*o + 1/2*o**4 - 1/6*o**5 = 0 for o.
-1, 0, 1, 4
Let d = 216 - 71. Let n = -125 + d. Factor 13*g + 6*g + 12*g**3 + 4*g**4 - 4*g**5 - 11*g - n*g**2.
-4*g*(g - 1)**3*(g + 2)
Find b, given that 10*b**4 - 30 - 39*b**3 + 20*b**2 - 1/2*b**5 + 79/2*b = 0.
-1, 1, 4, 15
Suppose 8*r + 3085 = 3101. Let n = 3/4 - 5/12. Factor -n*u**4 - 7/3*u**r + 0 + u + 5/3*u**3.
-u*(u - 3)*(u - 1)**2/3
Let r(x) = 5*x**2 + 15*x - 5. Let p be r(4). Let m be 3/(-12) - p/(-60). Factor -8/5*o**3 - 2/5*o**m + 12/5*o + 0 - 2/5*o**4.
-2*o*(o - 1)*(o + 2)*(o + 3)/5
Factor 0*c**2 - 74 - 5744*c + 5779*c - 2*c**2 - 490 + 3*c**2.
(c - 12)*(c + 47)
Solve 2*n**4 - 8*n**2 - 5*n**4 - 9*n**2 - 28*n**2 - 38*n**3 + n**5 - 11*n**3 = 0.
-5, -1, 0, 9
Let h = -8306 - -8306. Let x(q) be the third derivative of 0*q**4 + h*q**5 + 0*q**3 + 0*q + 0 - 10*q**2 + 1/30*q**6. Factor x(z).
4*z**3
Let t(x) be the second derivative of 486*x**6 - 1377*x**5/5 - 267*x**4 + 418*x**3/3 - 24*x**2 + 4205*x. Suppose t(m) = 0. What is m?
-4/9, 1/9, 3/5
Let r(k) be the third derivative of 13*k**2 - 4/15*k**5 + 0*k - 2/3*k**4 + 1/30*k**6 - 2 + 32/3*k**3. Factor r(x).
4*(x - 4)*(x - 2)*(x + 2)
Suppose 0 = s + 59 - 65. Let 9*t**2 - 6*t**2 - 1 + 10 - s + 6*t = 0. What is t?
-1
Let a(d) be the second derivative of -26*d - 11/3*d**3 + 5/6*d**4 - 1/6*d**5 + 1/72*d**6 + 0*d**2 + 0. Let o(b) be the second derivative of a(b). Factor o(u).
5*(u - 2)**2
Let w = -1695 + 1587. Let j be (-9)/(-2)*(-48)/w. Let 2*c**3 - 2/7*c**4 + 26/7*c - 30/7*c**j - 8/7 = 0. Calculate c.
1, 4
Let 18/23*h - 2/23*h**2 + 504/23 = 0. What is h?
-12, 21
Let b = -264694/5 - -52940. Find h such that 0*h + b*h**3 + 0 - 2/5*h**5 - 8/5*h**4 + 36/5*h**2 = 0.
-3, 0, 2
Let o = -32466695/583 + 55689. Let q = 535/3498 - o. Factor -1/3*a - q - 1/6*a**2.
-(a + 