70*u - 5. Let g be z(-1). Factor -13*c - 28 + 8*c**2 + 0*c + g*c.
4*(c + 7)*(2*c - 1)
Let g(z) be the third derivative of -1/1512*z**8 + 0 + 0*z**3 + 0*z**4 - 1/270*z**6 + 15*z**2 + 0*z + 0*z**5 + 1/315*z**7. Suppose g(j) = 0. What is j?
0, 1, 2
Let f be ((-2)/7 - 301/(-196)) + -1. Suppose -w - g = 2*w, 4*w - 4*g = 16. Solve w - y + f*y**2 = 0 for y.
2
Let g = -1092 + 1103. Let k(z) be the second derivative of 1/15*z**6 + 0 + 1/3*z**3 - 1/10*z**5 - 1/2*z**4 + 2*z**2 + g*z. Factor k(m).
2*(m - 2)*(m - 1)*(m + 1)**2
Let p(x) be the second derivative of -1/15*x**6 + 20/3*x**3 + 12*x + 19/3*x**4 + 3*x**2 + 0 - 4/21*x**7 + 12/5*x**5. Let p(i) = 0. What is i?
-1, -1/4, 3
Let h(t) be the second derivative of 0 + 2*t**2 + 8*t - 8/9*t**3 + 1/9*t**4 - 1/180*t**5. Let z(f) be the first derivative of h(f). Let z(g) = 0. Calculate g.
4
Let k(i) be the first derivative of i**6/21 - 8*i**5/35 - 4*i**4/7 + 20*i**3/21 + 23*i**2/7 + 20*i/7 + 114. Factor k(z).
2*(z - 5)*(z - 2)*(z + 1)**3/7
Suppose q = 5*q - 12, q + 12 = 5*y. Factor -54*l**4 - 320/3*l - 944/3*l**2 - 240*l**y - 32/3.
-2*(l + 2)**2*(9*l + 2)**2/3
Let t(x) = -x**2 - x + 1. Let w(b) = -2*b**2 + 82*b - 402. Let h(d) = 2*t(d) + w(d). Factor h(i).
-4*(i - 10)**2
Let o(g) be the third derivative of g**10/302400 + g**9/24192 + g**8/5040 + g**7/2520 + g**5/12 - 8*g**2. Let d(h) be the third derivative of o(h). Factor d(c).
c*(c + 1)*(c + 2)**2/2
Let i(b) be the first derivative of -2*b**3/21 - 8*b**2/7 - 483. Factor i(r).
-2*r*(r + 8)/7
Let s = -275 - -3301/12. Let m(y) be the third derivative of 3/10*y**5 - 13/60*y**6 + 0 + 0*y - 2/3*y**3 - 2*y**2 + s*y**4 + 1/21*y**7. Factor m(k).
2*(k - 1)**3*(5*k + 2)
Let 2*m - 2/11*m**2 - 20/11 = 0. Calculate m.
1, 10
Let j(r) be the second derivative of 13*r**7/98 + r**6/70 + r - 30. What is n in j(n) = 0?
-1/13, 0
Let r(n) = 2*n**3 + 14*n**2 + 10*n - 14. Let t(g) = -2*g**3 - 13*g**2 - 9*g + 15. Let m = -39 + 35. Let i(q) = m*t(q) - 3*r(q). Solve i(p) = 0.
-3, 1
Suppose -4*d = -0*d + 2*s - 32, 2*s = 0. Solve 26/5*f**3 + 0 - 24/5*f**4 + d*f**2 + 8/5*f = 0.
-2/3, -1/4, 0, 2
Factor -5/12*g**2 - 11/6*g + 1/12*g**3 - 4/3.
(g - 8)*(g + 1)*(g + 2)/12
Let h(p) = -3*p**2 + 268*p - 464. Let i(l) = -5*l**2 + 400*l - 696. Let j(s) = 7*h(s) - 5*i(s). Solve j(r) = 0.
2, 29
Let a = -3 + 6. Let i be 2/a*(-66)/(-4). Suppose 2*k**4 - 22*k**5 + 9*k**5 + i*k**5 = 0. What is k?
0, 1
Let a = -6345 - -6345. Factor 4*w**2 + 0*w**4 + 3/2*w - 1/2*w**5 + a + 3*w**3.
-w*(w - 3)*(w + 1)**3/2
Let c = -23 + 25. Suppose 3*i + c*r + 6 = 2*i, 5*r + 45 = 5*i. Factor 0*l**3 - l**3 - 5*l**i + 10*l**2 - 4*l**3.
-5*l**2*(l - 1)*(l + 2)
Let m(q) be the second derivative of 0 + 0*q**2 + 1/50*q**5 - 2/15*q**3 + 1/30*q**4 + 8*q. Factor m(w).
2*w*(w - 1)*(w + 2)/5
Let z be 16/(-6)*(-5)/210. Let c = 46/63 - z. Factor -c*q**5 + 2/3*q**4 + 4/3*q**3 - 2/3*q - 4/3*q**2 + 2/3.
-2*(q - 1)**3*(q + 1)**2/3
Suppose 3*m - 16 = z, 3*m + 6*z - 3*z = 12. Suppose 0 + 0*d - 2/7*d**2 - 3/7*d**3 + 0*d**4 + 1/7*d**m = 0. Calculate d.
-1, 0, 2
Let q(t) = -8*t**2 - 6*t + 8. Let b(j) = j**2 + j - 1. Let u(a) = a**2 - 8*a - 8. Let x be u(9). Let l(r) = x*q(r) + 6*b(r). Suppose l(w) = 0. Calculate w.
-1, 1
Let q(j) = 3*j**2 + 79*j + 1601. Let c(n) = 2*n**2 - n + 1. Let g(t) = 2*c(t) - 2*q(t). Factor g(z).
-2*(z + 40)**2
Let f = 4 + -1. Let j be ((-10)/(-5))/(f + 1). Suppose -a + 1/2 + j*a**2 = 0. What is a?
1
Let m(z) be the third derivative of -z**5/20 + 69*z**4/2 - 9522*z**3 + 255*z**2 + 1. Determine g, given that m(g) = 0.
138
Find n, given that 152/3*n - 2/3*n**2 - 2888/3 = 0.
38
Let a(n) be the third derivative of n**7/1680 + n**6/720 - n**5/240 - n**4/48 - 8*n**3/3 - 18*n**2. Let j(b) be the first derivative of a(b). Factor j(q).
(q - 1)*(q + 1)**2/2
Suppose 48 = 4*g - 2*s, 3*g - 36 = -0*s - 2*s. Find r such that -21 + 58 + 27 - 48*r + g*r**2 - r**3 = 0.
4
Let w be (1 + 1)/((-4)/(-8)). Let b(y) = -3*y**2 - 21*y + 2. Let v be b(-7). Determine f, given that -3*f**2 + 4*f + 3*f**v - w*f**2 = 0.
0, 1
Let i(t) = -3*t**3 - 20*t**2 - 21*t - 4. Let m(p) = -p**3 - p**2 - p - 1. Let j(k) = -i(k) - 2*m(k). Factor j(r).
(r + 1)*(r + 3)*(5*r + 2)
Let o(d) be the third derivative of -14*d**2 - 1/96*d**4 - 1/320*d**6 + 0*d**3 - 1/420*d**7 + 3/160*d**5 + 0 + 0*d. Factor o(j).
-j*(j - 1)*(j + 2)*(4*j - 1)/8
Let j be (-10)/(5/1) + -3. Let x be (j - 192/(-42)) + (-6)/(-14). Let -1/6*b**5 - 1/3*b**4 + x + 1/3*b**2 + 1/6*b + 0*b**3 = 0. Calculate b.
-1, 0, 1
Let z(i) = -i - 2*i**2 + 64 - 4*i**2 - 70 - 2*i**3 - 3*i**3. Let l(u) = 5*u**3 + 5*u**2 + 5. Let s(v) = -6*l(v) - 5*z(v). Find t, given that s(t) = 0.
-1, 0, 1
Suppose 1152 - 2016*h + 722/3*h**3 + 68/3*h**4 + 2/3*h**5 + 600*h**2 = 0. Calculate h.
-12, 1
Suppose 2*b - 4 + 1 = -z, -4*b = -5*z - 13. Let y(a) be the second derivative of 0 + 0*a**b - 5*a - 1/33*a**3 + 1/33*a**4 - 1/110*a**5. Factor y(v).
-2*v*(v - 1)**2/11
Let d(j) be the second derivative of 7*j**6/6 + 9*j**5/4 - 25*j**4/12 - 15*j**3/2 - 5*j**2 + 257*j. Factor d(t).
5*(t - 1)*(t + 1)**2*(7*t + 2)
Let a(w) = -w**3 - 16*w**2 - w - 14. Let g be a(-16). Suppose g*x - 4 = -2*c, 3*c - 8 = -4*x - 2*c. Factor -1/8*v**x - 1/8*v**3 + 5/8*v - 3/8.
-(v - 1)**2*(v + 3)/8
Let l(w) be the second derivative of -1/210*w**6 + 1/84*w**4 + 0 - 1/140*w**5 + 0*w**2 + 1/42*w**3 - 15*w. Factor l(h).
-h*(h - 1)*(h + 1)**2/7
Let c(d) be the second derivative of -d**6/120 - 3*d**5/40 - 5*d**4/48 - 7*d + 16. Factor c(k).
-k**2*(k + 1)*(k + 5)/4
Suppose 4*v - 79 = 2*p - p, -v - 4*p = -24. Find d, given that -8*d - d**5 - 7*d**4 + 0*d**5 - 303*d**3 + 285*d**3 - v*d**2 = 0.
-2, -1, 0
Let u(d) = d**2 + 5*d - 3. Let y be u(-6). Suppose -2 = -m - 5, y*o - 4*m - 102 = 0. Factor -o + z**4 + 12*z**2 - 8*z + 30 - 6*z**3.
z*(z - 2)**3
Let d be (-118)/(-5) + 5/((-125)/(-10)). Let w be 4/d + -1 + 1. Find g, given that -1/6*g - w*g**2 + 0 = 0.
-1, 0
Let r(k) be the third derivative of k**8/840 - 17*k**7/525 + 37*k**6/150 - 41*k**5/75 - 5*k**4/4 + 33*k**3/5 + 23*k**2. What is n in r(n) = 0?
-1, 1, 3, 11
Let n(z) be the third derivative of 7*z**5/15 + 29*z**4/3 + 32*z**3/3 + 213*z**2. Factor n(a).
4*(a + 8)*(7*a + 2)
Let w(r) = 2*r**3 + 6*r**2 + 4. Let l be w(-3). Find a, given that 0*a - 2/5*a**3 + 4/5*a**l + 2/5*a**5 - 4/5*a**2 + 0 = 0.
-2, -1, 0, 1
Let k(w) = 2*w**2 - 1. Let t(g) = 5*g**2 + 5*g - 16. Suppose 3*u = -2*f - f, -2*u + 14 = -5*f. Let o(i) = f*k(i) + t(i). Factor o(z).
(z - 2)*(z + 7)
Let r(k) be the first derivative of -1/24*k**3 + 0*k - 1/32*k**4 + 1/48*k**6 + 4 + 1/40*k**5 + 0*k**2. Find o, given that r(o) = 0.
-1, 0, 1
Suppose -6*g - 16 = -14*g. Let z(o) be the second derivative of 1/6*o**3 - 4*o + 7/24*o**4 + 0 + 0*o**g. Solve z(n) = 0.
-2/7, 0
Let z(m) be the second derivative of -m**5/60 + 2*m**4/9 - 10*m**3/9 + 8*m**2/3 - 40*m. Let z(y) = 0. What is y?
2, 4
Let i be 459/117 + (-2)/(-26). Suppose -3*x = x. Factor -3/4*g**i + x*g**3 + 0 + 3/4*g**5 + 0*g + 0*g**2.
3*g**4*(g - 1)/4
Factor -2/3 + 2/9*t**4 + 16/9*t - 4/3*t**2 + 0*t**3.
2*(t - 1)**3*(t + 3)/9
Let d(z) be the third derivative of z**8/2240 + z**7/840 + 5*z**4/8 - 15*z**2. Let g(b) be the second derivative of d(b). Let g(q) = 0. Calculate q.
-1, 0
Let q(c) be the second derivative of -10*c + 5/12*c**4 - 5/2*c**2 + 0 + 0*c**3. Let q(d) = 0. Calculate d.
-1, 1
Suppose 4*d - 176 + 148 = 0, 0 = 6*c - d - 11. Factor 0*u - 10/3*u**2 + 2/3*u**c + 0.
2*u**2*(u - 5)/3
Let v(m) be the second derivative of -2*m**6/15 - 7*m**5/5 + 4*m**4 + 56*m**3/3 - 64*m**2 - 3*m - 24. Let v(x) = 0. What is x?
-8, -2, 1, 2
Find i such that -4*i**3 + 4*i**4 - 12113*i**2 + 6028*i**2 + 6037*i**2 = 0.
-3, 0, 4
Let s(x) = 5*x**3 - 15*x**2 + 7*x. Let t(b) = 11*b**3 - 31*b**2 + 13*b. Let r(h) = 5*s(h) - 3*t(h). What is p in r(p) = 0?
0, 1/4, 2
Let l be (2/(-8))/(2475/200 + -13). Let -l*u**3 - 4/5 + 0*u**2 + 6/5*u = 0. Calculate u.
-2, 1
Solve 16*t**2 - 18 - 8*t**3 - 2*t**4 + 6*t + 6 + 2*t - 2*t**4 = 0.
-3, -1, 1
Let u(n) = -n**3 + 3*n**2 + 4*n + 2. Let x be u(4). Let c be (1/6)/(1 + 10/(-15)). Factor c*k**x - 1/4*k**3 + 0 - 1/4*k.
-k*(k - 1)**2/4
Suppose -2*i - 9 = -4*c + 7, 0 = 5*c - 2*i - 20. What is t in -5*t**2 - 21*t**c - 6*t**3 + 22*t**3 + t**2 + 9*t**5 = 0?
0, 2/3, 1
Let z(r) be the third derivative of 1/240*r**5 + 1