e of q**7/630 - q**5/90 + 5*q**3/6 + q. Let a(k) be the second derivative of y(k). Solve a(u) = 0 for u.
-1, 0, 1
Let p = -173/5 - -35. Let c(l) be the first derivative of 0*l + p*l**5 + 0*l**4 - 2/3*l**3 + 0*l**2 + 10. Let c(b) = 0. Calculate b.
-1, 0, 1
Suppose 0 = -p - 4*p - 5*x + 5, 2*x = p - 4. Let w**2 + w**p + 16*w**3 - 4*w**4 + 18*w**4 = 0. Calculate w.
-1, -1/7, 0
Let j = 1 - -2. Let v(p) be the first derivative of 0*p**j - 3*p**2 + p**3 - 3*p**3 + 11 + 2*p**2. Determine c so that v(c) = 0.
-1/3, 0
Factor -780*a + 3*a**2 + 780*a - 3*a**4.
-3*a**2*(a - 1)*(a + 1)
Suppose -5*f - 36 = -3*f. Let l be -2 + f/(-6) - 18/(-10). Find u, given that -6/5*u**4 - 4/5*u**2 - l*u**3 + 0*u + 0 = 0.
-2, -1/3, 0
Suppose -2*h + 6 = m, 5*h + m + 1 - 16 = 0. Factor 0 - d + 0*d**2 + 1/4*d**h.
d*(d - 2)*(d + 2)/4
Let d be (-9)/(-18) + 3/(-14). Let u be 0 + 4 + ((-96)/42 - 0). Factor -18/7 - u*o - d*o**2.
-2*(o + 3)**2/7
Let -4*c**2 + 9*c**3 + 4*c**4 - 47*c**5 + 15*c**5 + 23*c**3 = 0. Calculate c.
-1, 0, 1/8, 1
Let i(b) be the first derivative of 0*b - 1/3*b**2 + 17 + 1/6*b**4 - 2/27*b**3 + 2/45*b**5. Find x such that i(x) = 0.
-3, -1, 0, 1
Let u(z) be the third derivative of 117*z**7/35 + 193*z**6/5 + 1952*z**5/45 + 188*z**4/9 + 16*z**3/3 - 195*z**2. Solve u(b) = 0 for b.
-6, -2/9, -2/13
Let u = 233 - 228. Let f(p) be the third derivative of -3/20*p**u + 0*p + 2*p**2 + 9/8*p**4 - 1/10*p**6 + 0 - p**3. Solve f(g) = 0 for g.
-2, 1/4, 1
Determine f so that -18*f - 316*f**4 - 260*f**3 + 98*f**3 + 36*f**2 + 40 - 218*f**3 + 206*f - 48*f**5 = 0.
-5, -1, -1/4, 2/3
Let i(k) be the third derivative of -k**5/180 + 19*k**4/72 + 6*k**2 - 34. Factor i(r).
-r*(r - 19)/3
Let i(o) be the first derivative of -o**6/3 + 2*o**5 - 3*o**4 - 8*o**3/3 + 8*o**2 - 106. Factor i(n).
-2*n*(n - 2)**3*(n + 1)
Let p(x) = 2*x + 63. Let w be p(-29). Factor d + 3*d - 75*d**2 + w*d**3 + d**4 + 83*d**2.
d*(d + 1)*(d + 2)**2
Let r(y) = -y - 10. Let z be r(-4). Let j be z/(-45) + 544/420. Factor 4/7 + 2/7*u**3 + 8/7*u**2 + j*u.
2*(u + 1)**2*(u + 2)/7
Let g be (-3088)/(-112) - 8/14. Let o be (6/9)/(6/g). Factor 78/7*j**2 + 3*j**o - 24/7 + 60/7*j.
3*(j + 2)**2*(7*j - 2)/7
Find g such that -1/6*g**3 - 242/3 - 88*g - 15/2*g**2 = 0.
-22, -1
Let j(w) be the first derivative of 2*w**3/33 - 10*w**2/11 - 26. Factor j(q).
2*q*(q - 10)/11
Let b = -199 + 332. Suppose -b = 5*m - 148. Factor -3/2*d**2 - 1/2 - 3/2*d - 1/2*d**m.
-(d + 1)**3/2
Let c(l) = -2*l**5 - l**4 + 2*l**3 + 9*l**2 + 7*l + 2. Let w(o) = -o**5 + o**4 + o**2. Let k(i) = -2*c(i) + 2*w(i). Let k(x) = 0. Calculate x.
-1, 2
Let w(z) be the third derivative of -16*z**2 + 0*z - 1/2*z**4 + 3/2*z**3 + 1/20*z**5 + 0. What is m in w(m) = 0?
1, 3
Factor -1/2*a**3 + 0*a + 0 + 5*a**2.
-a**2*(a - 10)/2
Let q(v) be the second derivative of v**7/42 - v**6/8 + 5*v**4/6 + 9*v**2/2 + 5*v. Let u(n) be the first derivative of q(n). What is h in u(h) = 0?
-1, 0, 2
Let g(x) be the first derivative of 20/9*x**3 + 25/12*x**4 + 5/4*x**2 + 7/36*x**6 + 56 + x**5 + 1/3*x. Find b, given that g(b) = 0.
-1, -2/7
Let g(r) be the first derivative of -r**3/4 - 6*r**2 - 45*r/4 - 66. Factor g(n).
-3*(n + 1)*(n + 15)/4
Let s(r) be the third derivative of -r**7/42 - r**6/8 + r**5/3 + 85*r**2. Determine g so that s(g) = 0.
-4, 0, 1
Suppose 3*a = -0 + 9. Let g be 2/10*((6 - a) + -1). Factor -1/5 + g*x - 1/5*x**2.
-(x - 1)**2/5
Solve 2 + 7 - 2*c - 10*c - 1 + 4*c**2 = 0.
1, 2
Let h(z) = -z**3 - 6*z**2 + 2. Let m be h(-6). Let r be (2/(-3))/(116/(-696)) + 20/(-6). Factor r*o**m + 0 - 2/3*o**3 - 2/3*o**4 + 2/3*o.
-2*o*(o - 1)*(o + 1)**2/3
Let k(r) be the first derivative of 3/5*r - 1 - 1/5*r**2 - 1/15*r**3. Solve k(f) = 0.
-3, 1
Let h(q) = -q + 9. Let y be h(4). Let f be 2/6 - (5 + (-35)/y). Suppose f*n**2 + 2/3 - 2/3*n**3 - 7/3*n = 0. What is n?
1/2, 1, 2
Let f(d) = -d**3 + 2*d + 3. Let h be 2*(-42)/48 + (-6)/(-8). Let j be f(h). Let 4/3 - 4/3*z**j - 2/3*z + 2/3*z**3 = 0. What is z?
-1, 1, 2
Let k = 139/4140 - 2/345. Let o(u) be the third derivative of 0*u - 12*u**2 + 0*u**5 - 1/630*u**7 + 1/18*u**3 + k*u**4 + 0 - 1/180*u**6. Factor o(d).
-(d - 1)*(d + 1)**3/3
Let o be 3*(-28)/24*36/(-21). Suppose 26*k**2 + 48*k**3 + 3*k - 43*k**3 + 12*k - o*k**2 = 0. What is k?
-3, -1, 0
Let r(p) = 2*p**2 - 32*p + 123. Let x be r(6). Factor -1/7*q**2 + 1/7*q**x + 0 - 2/7*q.
q*(q - 2)*(q + 1)/7
Suppose 9*y - 40 = 4*y. What is k in 2 - 2*k + 4*k**5 + k**2 + 8*k**4 + 6 - y*k**3 - 17*k**2 + 6*k = 0?
-2, -1, 1
Solve -8*r - 41/3*r**4 + 37/3*r**2 + 5*r**5 + 4/3 + 3*r**3 = 0.
-1, 1/3, 2/5, 1, 2
Let s(i) be the third derivative of -i**6/240 - i**5/20 - i**4/4 + 11*i**3/6 + 6*i**2. Let u(c) be the first derivative of s(c). Solve u(g) = 0 for g.
-2
Let t(w) be the second derivative of 0*w**4 - 1/80*w**5 + 1/120*w**6 + 0*w**3 + 22*w + 0 + 0*w**2. Solve t(k) = 0 for k.
0, 1
Let s(t) be the third derivative of 0*t**3 + 0 - 6*t**2 + 1/300*t**5 - 2*t + 1/120*t**4. Let s(g) = 0. What is g?
-1, 0
Suppose 587*z - 12 = 584*z. Let t(p) be the third derivative of 1/60*p**6 + 0*p**3 - 1/12*p**z - 2/105*p**7 + 0*p + 1/15*p**5 + 0 - 5*p**2. Factor t(a).
-2*a*(a - 1)*(a + 1)*(2*a - 1)
Let d = 53823/5 - 10763. Let 2/5*c**4 - d*c**3 + 0 + 6/5*c**2 + 0*c = 0. Calculate c.
0, 1, 3
Let i(s) = -s**2 + s + 558. Let q be i(0). Factor 6*x**2 - 561*x**4 + 6*x**2 + q*x**4.
-3*x**2*(x - 2)*(x + 2)
Let n = 495/4 - 1477/12. Determine k, given that -n + 10/3*k**3 + 14/3*k - 22/3*k**2 = 0.
1/5, 1
Let l(z) be the first derivative of z**5/35 + 12*z**4/7 + 575*z**3/21 - 24*z**2/7 - 576*z/7 + 295. Solve l(o) = 0 for o.
-24, -1, 1
What is z in -42 + 25*z - 1/3*z**3 - 8/3*z**2 = 0?
-14, 3
Let c(t) = -t + 2*t - 4*t - t - t**2. Let y be c(-3). Find j such that -4/11*j**y + 2/11*j**4 - 2/11 + 4/11*j + 0*j**2 = 0.
-1, 1
Let x = -25330/3 - -8444. Suppose -4/3*k**2 + x - 2/3*k = 0. What is k?
-1, 1/2
Let l(j) be the third derivative of -j**7/126 + j**6/24 + j**5/4 - 15*j**4/8 - 394*j**2. Factor l(m).
-5*m*(m - 3)**2*(m + 3)/3
Let d(i) be the first derivative of -5*i**6/3 + 5*i**5 - 15*i**4/4 - 5*i**3/3 + 5*i**2/2 - 202. Factor d(w).
-5*w*(w - 1)**3*(2*w + 1)
Let a(c) be the first derivative of 0*c + 1/18*c**3 + 1/12*c**2 + 19. Factor a(p).
p*(p + 1)/6
Let p(t) be the third derivative of t**7/420 + 3*t**6/80 + t**5/15 - 20*t**2. Find l, given that p(l) = 0.
-8, -1, 0
Suppose -4*g + 3*s + 27 = 0, -g - 22 = 2*s + 3*s. Solve 0 - 2/11*c**4 - 4/11*c**g - 2/11*c**2 + 0*c = 0.
-1, 0
Let j(m) be the third derivative of 0*m + 37/15*m**5 + 41/30*m**6 + 1/21*m**8 + 0 + 15*m**2 + 5/2*m**4 + 2/5*m**7 + 4/3*m**3. Factor j(a).
4*(a + 1)**3*(a + 2)*(4*a + 1)
Let n(k) be the first derivative of k**5/5 + 7*k**4/4 + 14*k**3/3 + 4*k**2 + 834. Find y, given that n(y) = 0.
-4, -2, -1, 0
Let d(b) be the first derivative of -b**7/2520 + b**5/120 + b**4/36 + 13*b**3/3 - 1. Let z(g) be the third derivative of d(g). Let z(k) = 0. Calculate k.
-1, 2
Let v(u) = u**3 + 7*u**2 - 7*u + 11. Let l be v(-8). Let -4*r**3 - 2 + 3*r - 4*r - 8*r**l + 13*r**3 + 2*r**2 = 0. What is r?
-2, -1, 1
Suppose 21*h = 31*h - 30. Let i(r) be the second derivative of 1/36*r**4 + 0 + 1/6*r**2 + 1/9*r**3 + h*r. Suppose i(t) = 0. What is t?
-1
Let i = -10 - -13. Let u = i - 1. Solve r**3 + 6*r**2 + 0*r**4 - 7*r**3 - u*r + 2*r**4 + 0*r = 0.
0, 1
Let o(a) = 2*a**5 - 12*a**4 + 22*a**3 - 16*a**2 - 2*a - 2. Let h(g) = -g**3 - g - 1. Let l(c) = 2*h(c) - o(c). Factor l(r).
-2*r**2*(r - 2)**3
Let o(f) be the first derivative of -f**6/240 + f**5/80 + f**4/96 - f**3/24 + 11*f - 10. Let p(i) be the first derivative of o(i). Factor p(s).
-s*(s - 2)*(s - 1)*(s + 1)/8
Let z(o) = 3*o + 6. Let b be z(7). Factor 12*y**3 - b - 28*y**4 + 19 + 52*y + 80*y**3 - 108*y**2.
-4*(y - 1)**3*(7*y - 2)
Let f(r) = r**4 - r**3 + 2*r**2 + r + 2. Let z(n) = 24*n**4 - 39*n**3 - 126*n**2 + 903*n + 1071. Let c(s) = -21*f(s) + z(s). What is g in c(g) = 0?
-7, -1, 7
Let k(c) be the second derivative of 11*c**6/90 - 37*c**5/60 + 5*c**4/4 - 23*c**3/18 + 2*c**2/3 - 56*c. Determine a so that k(a) = 0.
4/11, 1
Let t(y) be the second derivative of y**5/30 + 10*y**4/9 + 44*y**3/3 + 96*y**2 + 236*y. Factor t(i).
2*(i + 6)**2*(i + 8)/3
Let q(a) = -9*a**3 - 193*a**2 - 52*a + 2. Let x(t) = t**3 + t**2 - t - 1. Let s(j) = q(j) + 2*x(j). Determine p, giv