erivative of 0 + 0*z - 1/270*z**5 + 11*z**2 + 23/108*z**4 + 8/9*z**3. Let u(p) = 0. What is p?
-1, 24
Let r(s) be the first derivative of -s**9/3024 - s**8/210 - 2*s**7/105 + 97*s**3/3 - 27. Let c(i) be the third derivative of r(i). Find v, given that c(v) = 0.
-4, 0
Suppose -4*g = -3*m - 3*g - 12, 5*m = 2*g - 20. Let v be m*(-2)/8*5. Factor -26*n**3 + 32*n**4 - 8*n**v + 16*n**2 + 4 - 10*n**2 - 4.
-2*n**2*(n - 3)*(2*n - 1)**2
Suppose -387*f - 50 = -382*f. Let z(v) = v**3 + 10*v**2 + v + 13. Let u be z(f). Solve 0 + 0*h + 4/3*h**2 + 1/3*h**u = 0.
-4, 0
Suppose 0 = 39*h - 35*h + 99*h. Solve h - 2/7*n**2 + 24/7*n = 0 for n.
0, 12
Let p(q) be the third derivative of 121*q**5/60 - 1342*q**4/3 + 119072*q**3/3 + 15*q**2 - 22*q. What is a in p(a) = 0?
488/11
Let s = -1607 + 1607. Suppose 30 - 19 = k - 4*v, s = -4*k - 2*v + 8. Suppose 1/5*h**2 + 0*h + 1/5*h**k + 0 = 0. What is h?
-1, 0
Let v(g) be the third derivative of g**6/360 + g**5/30 + g**4/8 + 2*g**3/9 + 11*g**2 - 13*g. Factor v(w).
(w + 1)**2*(w + 4)/3
Let l be 0 + (-6)/(-4) + 7/((-420)/40). Let i(y) be the second derivative of 15*y**2 - 5/2*y**4 + 27*y + 1/4*y**5 + 0 - l*y**3. Factor i(s).
5*(s - 6)*(s - 1)*(s + 1)
Let m(b) be the first derivative of -b**6/6 - 167*b**5/5 + 339*b**4/2 - 1022*b**3/3 + 683*b**2/2 - 171*b - 1215. Factor m(p).
-(p - 1)**4*(p + 171)
Let j(b) be the first derivative of 2/3*b**3 + 0*b + 57 - 5/4*b**4 + 0*b**2 + 2/5*b**5. Factor j(l).
l**2*(l - 2)*(2*l - 1)
Let j be ((-5488)/4312 + ((-12)/11)/(-1))/((-2)/22). Suppose -57/5*t**j + 123/5*t - 3/5*t**3 - 63/5 = 0. What is t?
-21, 1
Let s(a) = -28*a - 471. Let d be s(-17). Let m(v) be the first derivative of 1/4*v**d + 0*v - 17 + 5/8*v**4 - 5/12*v**3 - 5/4*v**2. Suppose m(z) = 0. What is z?
-2, -1, 0, 1
Let j be (-49)/(-98) + (-1)/3. Let z(x) be the first derivative of 4/27*x**3 + 0*x**2 - j*x**4 + 2/45*x**5 + 23 + 0*x. Determine y so that z(y) = 0.
0, 1, 2
Let u(a) be the first derivative of 9*a**2 - 3*a - 6 - 43/4*a**3 - 21/20*a**5 + 45/8*a**4. Find r, given that u(r) = 0.
2/7, 1, 2
Let l = -1139 + 1139. Let w(h) be the third derivative of -125/8*h**4 - 1/24*h**6 + l*h + 0 + 5/4*h**5 + 625/6*h**3 + 15*h**2. Determine c, given that w(c) = 0.
5
Let p = 2693 - 2688. Let z(x) be the third derivative of 0*x - 3/2*x**3 - 1/4*x**4 + 9*x**2 + 0 + 1/20*x**p. What is r in z(r) = 0?
-1, 3
Let n be (-51)/(-238) + 9 + (-183)/21. Factor 0 - n*j**3 + 3/2*j**2 + 0*j.
-j**2*(j - 3)/2
Factor 1378*f - 27*f**2 - 7*f**2 + 635 + 505 + 50*f**2 - 4*f**2.
2*(f + 114)*(6*f + 5)
Let c(n) be the first derivative of 121 + 484/17*n + 1045/17*n**2 - 392/51*n**3 + 9/34*n**4. Factor c(u).
2*(u - 11)**2*(9*u + 2)/17
Let z = -179279 + 179281. Determine i so that 12/5 + 2/5*i**z - 14/5*i = 0.
1, 6
Let w(m) be the second derivative of m**4/48 + 107*m**3/24 + 105*m**2/4 + 23*m - 3. Factor w(r).
(r + 2)*(r + 105)/4
Determine s, given that -195/2*s + 5/2*s**2 - 100 = 0.
-1, 40
Let s be (-3)/((-24)/(-686)) + 21/28. Let u be 2/(-3)*17/(s/30). Suppose -4*x**3 - x**4 - 2*x**4 - 4*x**5 + 7*x**u - 4*x**2 + 8*x**5 = 0. What is x?
-1, 0, 1
Factor 144/5*z + 2/5*z**4 - 82/5*z**2 + 0*z**3 + 224/5.
2*(z - 4)**2*(z + 1)*(z + 7)/5
Let z(q) be the second derivative of q**8/896 - q**7/280 - q**6/320 + q**5/80 + 85*q**2/2 + 2*q - 91. Let y(w) be the first derivative of z(w). Solve y(x) = 0.
-1, 0, 1, 2
Suppose -9*d + 16*d - 231 = 0. Let a be (-231)/d + (-36)/(-4). Factor 27 + 1/3*s**a - 6*s.
(s - 9)**2/3
Let q(f) = -4*f - 8. Let x be q(-5). Suppose 5*k + 10 = 25. Factor 4*u**2 + 3*u**3 + x + 3*u**k + u**3 - 3*u**3 - 20*u.
4*(u - 1)**2*(u + 3)
Let r(x) be the first derivative of 1/2*x**3 + 0*x + 17/16*x**4 - 3/10*x**5 + 57 - 1/24*x**6 - 2*x**2. Suppose r(w) = 0. Calculate w.
-8, -1, 0, 1, 2
Factor -7688 + 1/9*g**3 + 6076/9*g - 142/9*g**2.
(g - 62)**2*(g - 18)/9
Factor 269/7*i**2 - 2/7 + 267/7*i.
(i + 1)*(269*i - 2)/7
Let u be 555/(-9)*(-8)/520. Let v = 34/13 - u. Find f, given that 4/3 + v*f**3 - 5/3*f - f**2 - 1/3*f**4 = 0.
-1, 1, 4
Factor 615*g**3 + 680*g - 1220*g**3 + 125*g**2 + 610*g**3.
5*g*(g + 8)*(g + 17)
Factor -2408*c - 64*c - 2*c**2 + 159326 + 5*c**2 - 192*c + 432082.
3*(c - 444)**2
Let a(h) be the first derivative of h**5/35 - 13*h**4/28 - 16*h**3/21 + 2*h**2 - 2568. Find n such that a(n) = 0.
-2, 0, 1, 14
Let d be (-4 - (-11)/3) + ((-2006)/714 - -5). Factor 1/7*h**3 - d*h + 15/7 - 3/7*h**2.
(h - 5)*(h - 1)*(h + 3)/7
Let x = 468 + -463. Suppose -2*p + 4*p = x*z + 21, -5*p - 5*z = 0. Determine g, given that -2/5*g**p - 1/5*g**4 + 2/5*g + 1/5 + 0*g**2 = 0.
-1, 1
Find j such that -400/3 + 5/6*j**3 - 415/6*j**2 + 605/3*j = 0.
1, 2, 80
Solve 3/4 - 1/4*y**2 + 1/2*y = 0.
-1, 3
Let s(i) be the third derivative of -i**7/1260 - 103*i**6/720 - 101*i**5/360 + 103*i**4/144 + 17*i**3/6 + 4694*i**2. Solve s(p) = 0.
-102, -1, 1
Let g = -101164/24543 - -3697482248/931971339. Let b = -2/2921 - g. Find o, given that -36/13*o + b*o**2 + 162/13 = 0.
9
Let h(l) = l**3 - 3*l**2 - 13. Let f be h(4). Factor -3969*d - 5*d**f + 0*d**2 - d**4 - 8*d**2 + 3965*d.
-d*(d + 1)*(d + 2)**2
Let w = 103581 + -103575. Solve -14 + w*y**3 + 30*y - 43/2*y**2 - 1/2*y**4 = 0.
1, 2, 7
Let s(y) be the second derivative of -5*y**4/12 + 7*y**3/3 + 175*y**2/2 - 7*y - 2. Let x(g) = 9*g**2 - 30*g - 349. Let l(q) = -11*s(q) - 6*x(q). Solve l(m) = 0.
-13
Let j(y) be the second derivative of -11*y**6/10 + 489*y**5/20 + 301*y**4/2 + 250*y**3 + 108*y**2 + 1103*y. Solve j(g) = 0.
-2, -1, -2/11, 18
Let c(l) be the first derivative of l**8/2520 - 2*l**7/315 - l**6/60 - 112*l**3 + 45. Let u(g) be the third derivative of c(g). Factor u(r).
2*r**2*(r - 9)*(r + 1)/3
Let v(h) = -8*h**2 - 2922*h - 2864. Let o(t) = -26*t**2 - 8778*t - 8592. Let b(z) = -5*o(z) + 16*v(z). Solve b(s) = 0.
-1, 1432
Let h = -7859 + 7859. Let o(p) be the third derivative of 0 - 1/120*p**5 + 0*p + 1/420*p**7 - 7*p**2 + 0*p**4 + h*p**6 + 0*p**3. Let o(c) = 0. Calculate c.
-1, 0, 1
Let r(x) be the first derivative of -x**5/50 + 29*x**4/30 - 13*x**3 - 45*x**2 - 28*x + 10. Let l(p) be the first derivative of r(p). Find w such that l(w) = 0.
-1, 15
Let z(m) = -5*m - 115. Let v be z(-27). Factor -v*q + 8*q - 4*q**2 - 3 + 6*q + q**2.
-3*(q + 1)**2
Let i(y) be the second derivative of -27/28*y**5 + 1/98*y**7 + 73 - 13/70*y**6 + 3*y + 0*y**2 - 47/28*y**4 - 8/7*y**3. Find a such that i(a) = 0.
-1, 0, 16
Let s be -5 - ((-157)/(-20) + -13). Let c(l) be the first derivative of 0*l - s*l**5 + 0*l**2 + 0*l**3 - 1/16*l**6 - 27 - 3/32*l**4. Factor c(p).
-3*p**3*(p + 1)**2/8
Let t = -19313 + 19313. Let j(g) be the third derivative of -27*g**2 + 2/5*g**5 - 1/30*g**6 - 3/2*g**4 + t*g**3 + 0 + 0*g. Factor j(c).
-4*c*(c - 3)**2
Factor -419*a**2 + 396 - a**3 - 395*a**2 - 368*a**2 + 1083*a**2 + 4*a.
-(a - 2)*(a + 2)*(a + 99)
Let h be (-18)/16*(-36)/(-27)*-2. Let -3*r**4 - 4 + 6*r**2 - r + r**4 - r + 6*r**3 - 4*r**h = 0. What is r?
-1, 1, 2
Let a(c) be the second derivative of -c**8/6720 - c**7/252 - c**6/45 - c**4 + 223*c. Let m(q) be the third derivative of a(q). Suppose m(r) = 0. Calculate r.
-8, -2, 0
Let d be (-1170)/(-153) - 36/204*-2. Factor 2/3*q**2 - 16/3*q + 2/3*q**3 - d.
2*(q - 3)*(q + 2)**2/3
Suppose 2*j - 9*j = -35. Suppose 0 = 2*y - j*y. Find w such that 1/5*w**2 - 3/5*w + y = 0.
0, 3
Let y(i) be the first derivative of -i**6/180 + i**5/10 - 2*i**4/3 - 2*i**3/3 + 16*i + 69. Let f(b) be the third derivative of y(b). What is k in f(k) = 0?
2, 4
Let h(a) = -10272*a - 20541. Let o be h(-2). Factor -4/7 - 12/7*f - 13/7*f**2 - 1/7*f**4 - 6/7*f**o.
-(f + 1)**2*(f + 2)**2/7
Let z(r) be the second derivative of r**5/4 - 5*r**4/3 - 5*r**3/6 + 10*r**2 - 4*r - 305. Determine t, given that z(t) = 0.
-1, 1, 4
Factor 48 + 1/3*y**3 + 148/3*y + 40/3*y**2.
(y + 2)**2*(y + 36)/3
What is j in 12*j**3 + 16*j**3 + 2330*j + 3969 + 3907*j + 20*j**3 - 33*j**3 - 621*j**2 = 0?
-3/5, 21
Let r(l) be the second derivative of 0*l**4 - 3 + 2*l - 14/3*l**3 + 1/5*l**5 - 12*l**2. Determine u, given that r(u) = 0.
-2, -1, 3
Let h = -50 + 90. Let y be (-43)/(-5) + (h - 48). Factor 0*d - y*d**4 + 1/5*d**5 - 1/5*d**2 + 0 + 3/5*d**3.
d**2*(d - 1)**3/5
Let j(w) be the first derivative of -w**5/10 + 5*w**4/6 - 8*w**3/3 + 4*w**2 + 25*w - 18. Let p(a) be the first derivative of j(a). Factor p(y).
-2*(y -