vative of -d**4/6 - 3*d**3 - 14*d**2 - 60*d. Find a, given that k(a) = 0.
-7, -2
Let i(n) be the second derivative of -n**6/210 + 2*n**5/105 - n**4/42 + 10*n**2 - 23*n. Let o(v) be the first derivative of i(v). Factor o(c).
-4*c*(c - 1)**2/7
Let w = 398 - 396. Let z(g) be the first derivative of 7/2*g**2 - 3/5*g**5 - 7/4*g**4 + 1/3*g**3 + 2 + w*g. Let z(h) = 0. Calculate h.
-2, -1, -1/3, 1
Suppose -b = 5*l + 21, -4*l = 2*b + 3*b + 42. Let v be -1 + ((-5)/6)/(2/b). Factor 9/2*j + 0 + v*j**2.
3*j*(j + 3)/2
Let n(s) = 127*s - 1. Let d be n(1). Let x be (d/(-98))/(9/(-12)). Let 4/7*g**3 + 12/7*g + 4/7 + x*g**2 = 0. What is g?
-1
Let k(y) be the third derivative of -y**9/6048 - y**8/1680 - y**7/1680 + 2*y**3 + 10*y**2. Let j(n) be the first derivative of k(n). Factor j(l).
-l**3*(l + 1)**2/2
Let z(m) be the first derivative of 4/5*m**5 + 12/7*m**4 + 26/21*m**3 + 5/42*m**6 - 5/14*m**2 - 6/7*m + 5. Suppose z(t) = 0. What is t?
-3, -1, 2/5
Let d = 218 + -210. Let z(o) = 12*o**3 + 20*o**2 + 20*o + 4. Let r(y) = 4*y + y**2 + 3*y**3 - 2*y**3 - 3*y. Let f(w) = d*r(w) - z(w). What is q in f(q) = 0?
-1
Let q(z) = -2*z**4 - z**3 - z**2 + z + 1. Let g(v) = 5*v**4 + 55*v**3 + 260*v**2 + 335*v + 135. Let o(i) = g(i) + 5*q(i). Factor o(f).
-5*(f - 14)*(f + 1)**2*(f + 2)
Let m(r) be the first derivative of r**7/14 - r**6/10 - 9*r**5/20 + r**4/4 + r**3 - 17*r + 21. Let n(h) be the first derivative of m(h). Solve n(i) = 0.
-1, 0, 1, 2
Let a = -8895 + 8898. Determine s so that -1/9*s**4 + 0*s**2 + 0 + 0*s**a + 0*s = 0.
0
Let g = 7265 - 7260. Factor -g*y**2 + 0 + 5/2*y + 5/2*y**3.
5*y*(y - 1)**2/2
Let y(z) be the third derivative of z**7/294 + z**6/280 - z**5/35 + z**4/42 - 2*z**2 - 5. Factor y(v).
v*(v - 1)*(v + 2)*(5*v - 2)/7
Let m(a) be the third derivative of -a**5/420 - a**4/42 + 2*a**3/7 + 139*a**2. Factor m(w).
-(w - 2)*(w + 6)/7
Factor -78/7 - 57/7*x + 3*x**2.
3*(x + 1)*(7*x - 26)/7
Suppose -195 + 195 = -31*k. Solve 0*y + k + 2/9*y**2 = 0.
0
Let j = -103 + 106. Factor 35*r**2 + 3 + 11 - 1 + 35*r - 3 + 10*r**j.
5*(r + 1)*(r + 2)*(2*r + 1)
Let a(k) be the second derivative of 4*k**5 + 110*k**4/3 + 205*k**3/6 + 25*k**2/2 + 20*k - 10. Solve a(b) = 0 for b.
-5, -1/4
Factor 1849/2 + 1/2*c**2 + 43*c.
(c + 43)**2/2
Let k(b) = -5*b**3 - b**2 + 8*b - 6. Let g(m) = 16*m**3 + 3*m**2 - 24*m + 19. Let s be (4 + (5 - 4)*-3)*14. Let u(c) = s*k(c) + 4*g(c). Factor u(y).
-2*(y - 1)*(y + 2)*(3*y - 2)
Factor 18*i**4 - 10*i**2 - 13 + 24*i - 13 - 10 + 28 - 24*i**3.
2*(i - 1)*(i + 1)*(3*i - 2)**2
Let d(o) be the second derivative of o**4/42 + 11*o**3/21 + 10*o**2/7 + 12*o. Factor d(g).
2*(g + 1)*(g + 10)/7
Let p(o) be the third derivative of -o**10/50400 - o**9/5040 - o**8/1344 - o**7/840 - o**5/3 - 20*o**2. Let h(g) be the third derivative of p(g). Factor h(f).
-3*f*(f + 1)**2*(f + 2)
Let k(t) be the first derivative of -1/15*t**3 - 1/5*t**2 + 1/20*t**4 + 0*t + 13. Factor k(g).
g*(g - 2)*(g + 1)/5
Let l(d) = -55*d**3 + 126*d**2 + 189*d - 324. Let p(s) = -21*s**3 + 42*s**2 + 63*s - 108. Let c(m) = 3*l(m) - 8*p(m). Suppose c(r) = 0. Calculate r.
-12, -3, 1
Let x(n) = n**3 + n**2 - n. Let o(u) = -7*u**3 - 10*u**2 + 6*u. Suppose -3*b + 7*b - 24 = 0. Let p(l) = b*x(l) + o(l). What is d in p(d) = 0?
-4, 0
Let s(t) = -17*t + 33. Let l be s(2). Let i be l + ((-14)/6 - (-28)/7). Let -i*o - 2/3 + 2/3*o**3 + 2/3*o**2 = 0. Calculate o.
-1, 1
Let c(p) be the third derivative of p**6/165 + p**5/110 - p**4/132 - 6*p**2. Determine q, given that c(q) = 0.
-1, 0, 1/4
Let a = -315 - -1587/5. Find g, given that -6/5*g**3 + a + 24/5*g - 3/5*g**2 = 0.
-2, -1/2, 2
Let o = 4 - 0. Let w be (o + -3)*-3 - -7. Determine s so that -3*s**w + 5*s**4 + s**5 + 2*s - 2*s**2 - 3*s = 0.
-1, 0, 1
Let b be 129 + -117 - (-84)/45*-3. Find k such that 152/5*k - 10*k**3 + b + 32*k**2 = 0.
-2/5, 4
Let n(c) = -c**2 + 17*c + 530. Let y be n(-16). Determine t so that 0 + 0*t**y - 3/2*t**3 - 3/2*t**5 + 0*t - 3*t**4 = 0.
-1, 0
Let j be 11/(-44) + (-406)/8. Let w = j - -257/5. Factor 0 - w*c**3 - 2/5*c**4 + 2/5*c**2 + 2/5*c.
-2*c*(c - 1)*(c + 1)**2/5
Let v = 1082/99 - 119/11. Let l(j) be the first derivative of 1/6*j**2 - 7 + 0*j - 1/12*j**4 + 1/15*j**5 - v*j**3. Solve l(d) = 0.
-1, 0, 1
Let i(a) = -a**2 + 6*a - 2. Let s be i(5). Find w, given that 5*w + 3*w**2 - 5*w**3 - 6*w**2 + 2 + s*w**2 - 2*w**2 = 0.
-1, -2/5, 1
Let j(b) = 48*b**2 + 609*b - 1344. Let m(t) = -3*t**2 - 38*t + 84. Let k(l) = -2*j(l) - 33*m(l). Factor k(z).
3*(z - 2)*(z + 14)
Let g be 23/(-9) - 81/(-27). Suppose -9*k = -8*k. Let 2/9*p + 0*p**3 - 2/9*p**5 + 4/9*p**2 - g*p**4 + k = 0. What is p?
-1, 0, 1
Suppose 5*f + 3 - 73 = -r, 0 = -5*r + 25. Suppose -h + 17 - f = 0. Solve 3/2*g**2 - 3/2*g**h + 0 + 3/2*g**3 + 0*g - 3/2*g**5 = 0.
-1, 0, 1
Suppose -4*n + 2*h = 3*h + 47, 0 = 3*n + 5*h + 14. Let o be (50/n - -4) + (-57)/(-52). Solve -o*f - 1/4*f**3 + f**2 + 1/2 = 0 for f.
1, 2
Let m(i) be the third derivative of -24*i**2 - 1/180*i**5 - 1/18*i**3 + 0*i + 0 + 1/36*i**4. Factor m(y).
-(y - 1)**2/3
Let o(v) be the third derivative of 0*v**3 + 0*v**4 + 1/70*v**7 + 5*v**2 + 0*v**6 + 1/336*v**8 + 0 - 1/15*v**5 + 0*v. Factor o(i).
i**2*(i - 1)*(i + 2)**2
Suppose -88*f = 85*f - 20*f - 306. Factor 1/8*m**3 + 10*m - 8 - 17/8*m**f.
(m - 8)**2*(m - 1)/8
Let h = -1371 - -3757/3. Let i = -117 - h. Factor -4/3*j**4 - 1/3*j**5 + 2/3*j**2 - 4/3*j**3 + 2/3 + i*j.
-(j - 1)*(j + 1)**3*(j + 2)/3
Determine q, given that q**3 + 12*q + 6*q + q - 6*q**2 - 10*q - 4 = 0.
1, 4
Let c be ((-28)/(-6))/(14/21). Suppose c = 2*s + p, 0*s - 2*p + 2 = -2*s. Factor -s*f**2 - 3 + 3*f**2 + 9*f - 7*f**2.
-3*(f - 1)*(2*f - 1)
Let d = 34849/18 - 1936. Let u(w) be the second derivative of -1/126*w**7 + 11*w - 1/18*w**4 - d*w**3 + 1/90*w**6 + 1/30*w**5 + 0 + 1/6*w**2. Factor u(f).
-(f - 1)**3*(f + 1)**2/3
Find m, given that 1/4*m**3 + 7/2*m**2 - 13/2 + 11/4*m = 0.
-13, -2, 1
Factor 22*t - 10/3*t**3 - 12 + 2/3*t**4 - 22/3*t**2.
2*(t - 6)*(t - 1)**2*(t + 3)/3
Let d(v) be the third derivative of 11/15*v**5 + 0*v + 26/3*v**3 - 39*v**2 + 1/30*v**6 - 25/6*v**4 + 2. Solve d(p) = 0 for p.
-13, 1
Suppose 4*n + 12 = -7*v + 9*v, -n - 4 = -v. Factor -2*t - 4*t**v + t + 4*t + 0*t + 1.
-(t - 1)*(4*t + 1)
Let k(w) = -w**2 - 97*w - 1014. Let h be k(-12). Find f, given that 3/5*f**5 + 3*f + 6*f**3 - 3*f**4 - 3/5 - h*f**2 = 0.
1
Let a(h) be the third derivative of h**10/30240 + h**9/12096 - h**8/2016 - 17*h**5/60 + 10*h**2. Let p(m) be the third derivative of a(m). Factor p(c).
5*c**2*(c - 1)*(c + 2)
Let q(h) be the third derivative of 0*h**3 + 9/50*h**5 + 3/100*h**6 + 1/525*h**7 - 15*h**2 + 9/20*h**4 + 0 + 0*h. Factor q(u).
2*u*(u + 3)**3/5
Suppose 3*u + 72 = -3*u. Let p be -3*1*u/18. Let 1/2*r**p + 1/2 + r = 0. Calculate r.
-1
Suppose -j + 12 = 5*x - 0*x, 0 = 3*j + 4*x - 14. Suppose -4*v + 0*v + 24 = 0. What is s in -2*s + 8*s**j + 4 - 4 - v*s**3 = 0?
0, 1/3, 1
Factor 1/3*a**3 + 16/3*a**2 + 29/3*a + 14/3.
(a + 1)**2*(a + 14)/3
Let h(p) be the third derivative of -p**7/315 - p**6/36 + p**5/30 + 13*p**4/36 - 10*p**3/9 + 221*p**2. Suppose h(i) = 0. What is i?
-5, -2, 1
Let y be -3*6 + 5 + -3. Let j be (224/(-15))/(y/24). Suppose 196/5*k**2 + j*k + 16/5 = 0. What is k?
-2/7
What is s in -16/7*s + 12/7*s**2 + 4/7 = 0?
1/3, 1
Let c(f) = -3 + 94*f**2 - 24*f + 3 - 90*f**2. Let t(d) = d. Let j(n) = c(n) + 16*t(n). Factor j(h).
4*h*(h - 2)
Let i = 539 - 535. Let x(g) be the second derivative of 0*g**2 - 1/2*g**3 + 0 + 1/2*g**i - 3/20*g**5 - 6*g. Determine u, given that x(u) = 0.
0, 1
Let h(k) be the third derivative of 13/75*k**6 + 2/75*k**7 + 0*k - 8/15*k**3 + 9/25*k**5 - 12*k**2 + 0 + 2/15*k**4. Let h(o) = 0. Calculate o.
-2, -1, 2/7
Let b be 3*3*32/72. Let u(j) be the first derivative of -7/4*j**4 - 3/2*j**2 + b*j**3 - 2*j + 2. Suppose u(v) = 0. What is v?
-2/7, 1
Let i(p) = p**2 + 68*p + 87. Let j(t) = -69*t - 84. Let q(n) = -3*i(n) - 4*j(n). Find k, given that q(k) = 0.
-1, 25
Let a(r) be the third derivative of -r**5/105 - r**4/14 - 4*r**3/21 - 2*r**2 - 10*r. Suppose a(z) = 0. Calculate z.
-2, -1
Let k(h) = 5*h**2 + 22*h + 13. Let d(j) = j - 1. Let i(v) = -2*d(v) + k(v). Find c such that i(c) = 0.
-3, -1
Factor -12/19*d**2 + 2/19*d**3 + 0 + 16/19*d.
2*d*(d - 4)*(d - 2)/19
Let r = -244 - -246. Let o be r - (18/117 - 114/(-1