4*b**p - b. Factor z(m).
-(m - 2)*(m + 1)*(2*m - 1)/2
Let h(a) be the third derivative of a**7/1260 - a**6/90 + a**5/20 - a**4/9 + 5*a**3/36 + a**2 - 53. Factor h(m).
(m - 5)*(m - 1)**3/6
Let u(w) = 2 - w**3 + 16*w**2 - 15*w**2 - w - 2. Let i(a) = 3*a**3 - 5*a**2 + 5*a - 1. Let x(b) = 3*i(b) + 6*u(b). Factor x(l).
3*(l - 1)**3
Let v(p) be the third derivative of p**7/735 - p**6/30 + 23*p**5/70 - 12*p**4/7 + 36*p**3/7 - 73*p**2. Factor v(m).
2*(m - 6)*(m - 3)**2*(m - 2)/7
Let f(p) = p**3 - 4*p**2 - 6*p + 8. Let n be f(5). Suppose -4*j = -4*q, 4*j + n*q - 27 = -2*q. Factor -1/3*a + 1/3*a**4 - a**j + a**2 + 0.
a*(a - 1)**3/3
Let h(o) be the second derivative of -5/12*o**4 + 1/20*o**5 + 0 + 0*o**2 - 21*o + 1/2*o**3 + 1/30*o**6. Factor h(i).
i*(i - 1)**2*(i + 3)
Factor -3/5 - 1/5*x**2 + 1/5*x**3 - x.
(x - 3)*(x + 1)**2/5
Let f(r) be the first derivative of 1/90*r**6 - 1/18*r**3 - 1/36*r**4 + 1/60*r**5 + 0*r**2 - 3*r - 6. Let l(v) be the first derivative of f(v). Factor l(h).
h*(h - 1)*(h + 1)**2/3
Let w be ((-12)/238)/(261/(-1479)). Determine r, given that -24/7 + w*r**2 + 2/7*r = 0.
-4, 3
Let x(a) be the first derivative of a**4/72 + a**3/9 + a**2/4 - 3*a - 16. Let h(w) be the first derivative of x(w). Factor h(c).
(c + 1)*(c + 3)/6
Let l be 714/(-210) + (-3)/15 - 1*-4. Factor -4/5*p + 6/5 - l*p**2.
-2*(p - 1)*(p + 3)/5
Let s be ((-3)/8)/((-183)/976). Let m(c) be the second derivative of -9*c + 0*c**s - 1/60*c**4 + 0 + 0*c**3. Suppose m(w) = 0. What is w?
0
Let w = -23/7 - -127/28. Factor 5/8*v**4 + w*v**2 + 1/8 - 5/4*v**3 - 5/8*v - 1/8*v**5.
-(v - 1)**5/8
Let g be 1/2 + (-99)/22. Let t be g/24 - (-38)/12. Find b such that 0 + 2/3*b**2 - 2/3*b**4 + 2/3*b**t - 2/3*b**5 + 0*b = 0.
-1, 0, 1
Factor -31/6*y - 1/12*y**2 - 961/12.
-(y + 31)**2/12
Let d(g) = 6*g**3 - 2*g**2 - g + 1. Let w(r) = -49*r**3 + 17*r**2 + 3*r - 2*r - 7 - 2 + 6*r. Let c(a) = -51*d(a) - 6*w(a). Solve c(p) = 0 for p.
-1/2, 1
Let g(d) be the third derivative of d**5/120 - 3*d**4/8 + 27*d**3/4 + 3*d**2 + d. Factor g(w).
(w - 9)**2/2
Let y(i) be the first derivative of i**3/9 + i**2/6 - 10*i - 19. What is g in y(g) = 0?
-6, 5
Let i(q) be the third derivative of -q**5/150 + 7*q**4/10 - 147*q**3/5 - 46*q**2. Determine r, given that i(r) = 0.
21
Let d(f) be the first derivative of 13 + 1/4*f**3 - f**2 - 3/4*f. Let d(y) = 0. Calculate y.
-1/3, 3
Let x(o) = o**2 - 156*o - 1835. Let r be x(-11). Factor 2/21*w**r + 2/21*w**3 - 2/21*w - 2/21.
2*(w - 1)*(w + 1)**2/21
Let n(w) be the third derivative of w**7/210 + w**6/90 + w**3/2 - 8*w**2. Let r(d) be the first derivative of n(d). Suppose r(k) = 0. Calculate k.
-1, 0
Let v = -15/413 + 5429/1652. Factor 3/2*y**2 + 1/2 - v*y.
(y - 2)*(6*y - 1)/4
Let b(l) = l**2 - 1. Let j be b(-2). Find n, given that -6*n**j - 2 - 6*n**2 + 0*n**3 + 8*n**3 + 6*n = 0.
1
Let v(w) be the first derivative of 25/28*w**4 + 5/3*w**3 + 24 + 11/14*w**2 + 1/7*w. Factor v(j).
(j + 1)*(5*j + 1)**2/7
Factor 9*m**4 - 7*m**4 + 32*m**2 - 40*m**3 + 13*m**5 - 160 - 8*m**5 + 128*m - 3*m**5.
2*(m - 2)**3*(m + 2)*(m + 5)
Suppose -24/7 + 45/7*f - 18/7*f**2 - 3/7*f**3 = 0. Calculate f.
-8, 1
Let f(k) be the third derivative of k**7/420 + k**6/240 - k**5/60 + 131*k**2 - k. Find a such that f(a) = 0.
-2, 0, 1
Factor 45*a**3 + 20 - 22*a**3 - 17*a**3 + 38*a - 64*a**2.
2*(a - 10)*(a - 1)*(3*a + 1)
Let d(m) be the second derivative of -m**6/20 + m**5/20 + 17*m**4/24 + m**3 - m - 13. Let d(k) = 0. Calculate k.
-4/3, -1, 0, 3
Find q such that -q**2 + 3*q**3 + 171*q + 234*q + 351 + 64*q**2 + 474 = 0.
-11, -5
Let q(d) be the first derivative of -14 - 2*d - 1/2*d**3 - 7/4*d**2. Solve q(c) = 0 for c.
-4/3, -1
Let s = -62 - -64. Let h be 10 + -10 + (-4)/(-10). Find d, given that -4/5 + 2/5*d**s + h*d = 0.
-2, 1
Let o(r) be the first derivative of -2*r**2 - 1/5*r**5 + 1/30*r**6 + 11*r + 1 + 2/3*r**3 + 1/4*r**4. Let a(x) be the first derivative of o(x). Factor a(q).
(q - 2)**2*(q - 1)*(q + 1)
Suppose -5*d - p = 51, -30 = 3*d - 3*p - 3. Let b be d*1/(-4) - 2. Factor 1/2*h - b*h**2 + 0.
-h*(h - 1)/2
Let w(b) = -3*b**2 - 5*b + 2. Let q(s) be the third derivative of -5*s**5/6 - 85*s**4/24 + 35*s**3/6 + 13*s**2. Let x(j) = -2*q(j) + 35*w(j). Factor x(g).
-5*g*(g + 1)
Suppose 3*w + 2 = -2*d - 3*d, -w = -4*d + 12. Factor -2*b**2 + 10*b - 4 + 2*b**3 - 6*b**2 + 0*b**d.
2*(b - 2)*(b - 1)**2
Let v be 4*(-15)/(-20) + 130/(-50). Let 0 - v*h + 4/5*h**2 - 2/5*h**3 = 0. What is h?
0, 1
Factor 10*x - 4*x + 4*x**2 - 6 + 42 - 46*x.
4*(x - 9)*(x - 1)
Let r(q) be the second derivative of -18*q - 2/15*q**6 + 0*q**3 + 0*q**2 + 2/3*q**4 + 0 + 1/5*q**5. Find p such that r(p) = 0.
-1, 0, 2
Let q = -114 - -132. Suppose q*k = 14*k. Factor 0*s + k + 1/2*s**2.
s**2/2
Let o(n) = -20*n**4 - 6*n**3 - 5*n. Let l be (32/(-4))/(-1 - -3). Let s(x) = 19*x**4 + 6*x**3 + 4*x. Let y(d) = l*o(d) - 5*s(d). Factor y(j).
-3*j**3*(5*j + 2)
Let i be (-1687)/(-42) + -10 + -1 + 10/12. Solve -99/2*v**2 - 27/2*v**3 - i + 84*v = 0 for v.
-5, 2/3
Factor -369 - 15*q + 188 + 7*q**2 + 190 - q**3.
-(q - 3)**2*(q - 1)
Let k = -12/5 - -41/15. Let g = 295 + -293. Factor 3 + k*j**2 - g*j.
(j - 3)**2/3
Factor -3*p**4 - 2643*p**3 + 2659*p**3 + 20*p**2 - p**4.
-4*p**2*(p - 5)*(p + 1)
Let i(a) be the third derivative of 1/336*a**8 + 0*a + 0*a**5 + 0*a**3 - 1/60*a**6 + 0 - a**2 + 0*a**7 + 1/24*a**4. Find l, given that i(l) = 0.
-1, 0, 1
Let c = 43 - 35. Suppose 15*q**2 - 5*q**2 - c*q + 6*q**2 + 4*q**4 - 16*q**3 + 4*q**2 = 0. Calculate q.
0, 1, 2
Let d be (4/(-20) - (-22)/(-40)) + (-26)/(-24). Let g = 34/21 + -2/7. Suppose -g*l**2 + l**3 + d*l + 0 = 0. Calculate l.
0, 1/3, 1
Let z(w) be the third derivative of -w**8/5040 + w**7/1260 + w**6/1080 - w**5/180 - w**3/2 - 2*w**2. Let o(s) be the first derivative of z(s). Factor o(v).
-v*(v - 2)*(v - 1)*(v + 1)/3
Let p be (-148)/(-1 + 5)*1. Let m be p/(-7) - 12/42. Factor 8 + 7 + 6 - 4*i**2 - m.
-4*(i - 2)*(i + 2)
Let s = -255/19 + 1351/95. Determine k so that -2/5*k**2 + s*k - 2/5 = 0.
1
Let g(u) be the first derivative of -5*u**6/6 - 4*u**5 + 5*u**4/4 + 20*u**3/3 - 14. What is b in g(b) = 0?
-4, -1, 0, 1
Let a(t) be the third derivative of 0*t + 1/30*t**5 - 1/180*t**6 + 1/6*t**3 - 1/12*t**4 + 0 - 4*t**2. Let u(b) be the first derivative of a(b). Factor u(g).
-2*(g - 1)**2
Let p(k) = 6*k**2 + 6*k + 10. Let q be p(6). Factor -9*j**3 - 3*j**2 + q*j**4 - 265*j**4 + 3*j**3.
-3*j**2*(j + 1)**2
Suppose -4*d = 4*q - 124, 0 = 3*d + 2*q - 7*q - 85. Factor 2 - m**4 - 2 - 12*m**2 - d*m**3 - 8*m + 24*m**3.
-m*(m + 2)**3
Suppose 10 = -3*i + 22. Suppose -i*y = -y. Determine g, given that -9*g**2 + y*g + 12*g**4 - 3*g**2 - 3*g**3 + 3*g = 0.
-1, 0, 1/4, 1
Let m(j) be the third derivative of -5*j**8/168 + 6*j**7/35 + 59*j**6/30 + 4*j**5/5 - 113*j**4/12 - 14*j**3 + 264*j**2 + 1. Let m(d) = 0. What is d?
-3, -1, -2/5, 1, 7
Let x(f) = -9*f**3 - 53*f**2 + 305*f - 697. Let b(c) = c**3 + c**2 - c + 1. Let a be (-1 + -3 + 2)/1. Let l(r) = a*x(r) - 22*b(r). Let l(m) = 0. What is m?
7
Let h be ((-12)/10)/((-18)/60). Let r(c) be the first derivative of -1/18*c**h - 1 + 0*c**2 + 0*c + 2/27*c**3. Determine l, given that r(l) = 0.
0, 1
Suppose -13 = -3*p - 4*x, -7*p - 4 = -9*p + 2*x. Let t(r) be the second derivative of 4*r - 1/24*r**4 - 25/4*r**2 + 5/6*r**p + 0. Factor t(i).
-(i - 5)**2/2
Let u = 20043 + -20043. Factor u + 3/4*x - 1/4*x**2.
-x*(x - 3)/4
Let m(j) = 20*j**2 + 43*j + 6. Let c(q) = 10*q**2 + 22*q + 4. Let t(f) = 10*c(f) - 4*m(f). Suppose t(n) = 0. Calculate n.
-2, -2/5
Let h be 28/(-20)*(-50)/120*3. Let s be (-28)/(-6)*27/36. Determine b, given that -2*b**5 - 3*b**4 + s*b**3 - 9/4*b + 1/2 + h*b**2 = 0.
-2, -1, 1/2
Let d be 8/(-96) - ((-62)/(-120) - 1). Factor d + 1/5*l**5 + 4/5*l**3 + 2/5*l**2 - l - 4/5*l**4.
(l - 2)*(l - 1)**3*(l + 1)/5
Let n(z) be the first derivative of -81*z**4/4 + 15*z**3 + 24*z**2 - 12*z + 74. Factor n(y).
-3*(y - 1)*(3*y + 2)*(9*y - 2)
Let t(j) = 2*j + 10. Let c be t(-4). Suppose -4*z = v + 18, -15 = -c*z + 5*z. Factor -8 - a - 11*a + 0*a - 4*a**v.
-4*(a + 1)*(a + 2)
Let d(y) be the first derivative of 2*y**3/15 + 8*y**2/5 + 14*y/5 + 141. Factor d(h).
2*(h + 1)*(h + 7)/5
Let k be -12 + 5 - (-6 - (-28)/(-16)). Suppose -9/4*f**2 + 0 - k*f**3 - 3/2*f = 0. Calculate f.
-2, -1, 0
Let i(s) be the third derivative of