 2*f**2 - f + 1. Let m(l) = -5*d(l) + v(l). Solve m(r) = 0 for r.
-2, -1, 1, 2
Let k(q) be the first derivative of -q**4 - 68*q**3/3 - 32*q**2 + 72. Factor k(w).
-4*w*(w + 1)*(w + 16)
Let j(o) be the second derivative of o**4/28 + 4*o**3/7 + 3*o**2/2 - 51*o. Factor j(p).
3*(p + 1)*(p + 7)/7
Let u(k) be the third derivative of -k**6/135 - 17*k**5/180 - k**4/9 + 11*k**3/6 + 2*k**2. Let w(p) be the first derivative of u(p). What is r in w(r) = 0?
-4, -1/4
Let x(k) be the first derivative of 0*k + 3/20*k**4 - 1/10*k**6 + 0*k**2 - 26 - 3/25*k**5 + 1/5*k**3. Factor x(f).
-3*f**2*(f - 1)*(f + 1)**2/5
Let x(k) = 83*k**4 - 329*k**3 - 465*k**2 - 50*k. Let n(h) = -2*h**4 + h**3. Let c(m) = n(m) - x(m). Let c(v) = 0. What is v?
-1, -2/17, 0, 5
Solve -59*j**2 - 8 - 9*j + 30*j**2 + 28*j**2 = 0.
-8, -1
Let b = 24 - 8. Let r(k) = 6*k + 39. Let j be r(-5). Find x, given that -b - 9*x - 10*x**2 + x + j*x**2 = 0.
-4
Let z(a) = -a**2 + 3*a - 1. Let f be z(4). Let c be (-1 - -1)*f/(-10). Solve -16*n**2 + 3 + 6*n**2 + 8*n**4 - 6*n + c*n + 6*n**3 - 1 = 0 for n.
-1, 1/4, 1
Let p(v) be the third derivative of v**5/90 - v**4/12 - 10*v**3/9 + 9*v**2 - 2*v. Factor p(c).
2*(c - 5)*(c + 2)/3
Let m(k) be the second derivative of -k**4/3 + 136*k**3/3 - 264*k**2 - 135*k + 3. Solve m(x) = 0 for x.
2, 66
Let u(f) = 2*f**3 + 10*f**2 - 101*f - 8. Let z be u(-10). Factor 0*t + 0 + 2/5*t**z - 4/5*t**3 + 2/5*t**4.
2*t**2*(t - 1)**2/5
Factor -4*b - 757 + 1504 - b**2 - 750.
-(b + 1)*(b + 3)
Let x be 18/27*(-72)/(-224)*6. Determine v, given that 3/7*v + 9/7*v**2 + x*v**3 + 0 + 3/7*v**4 = 0.
-1, 0
Let l be ((-6)/5)/(30/(-525)). Let f be 0/(2/3*l/7). Suppose f*d**3 + 0 + 0*d + 1/3*d**2 - 1/3*d**4 = 0. What is d?
-1, 0, 1
Let h(p) be the second derivative of 7*p**6/450 + 8*p**5/75 + 2*p**4/15 - 2*p**3 + 13*p. Let f(x) be the second derivative of h(x). Factor f(v).
4*(v + 2)*(7*v + 2)/5
Let l(z) be the first derivative of -z**3 + 57*z**2/2 + 60*z + 218. What is m in l(m) = 0?
-1, 20
Let d = -30164 - -30168. Let 4/13*l**2 + 10/13*l - 6/13 - 12/13*l**3 + 2/13*l**5 + 2/13*l**d = 0. What is l?
-3, -1, 1
Let w be 2/3 - 43/(-3). Factor 23*h**2 - 36*h**2 - 6*h + w*h**2 - 8.
2*(h - 4)*(h + 1)
Let b(q) be the third derivative of q**5/240 - 3*q**4/8 + 27*q**3/2 + 175*q**2. Solve b(c) = 0 for c.
18
Let n(b) = 28*b**3 - 12*b**2 - 96*b + 83. Let f(p) = -29*p**3 + 11*p**2 + 98*p - 84. Let t(h) = 3*f(h) + 4*n(h). Find x, given that t(x) = 0.
-2, 1, 8/5
Let b(f) = -20*f**5 - 14*f**4 - 36*f**3 - 34*f**2 - 10*f - 6. Let d(z) = 3*z**5 - z**2 - z + 1. Let w(s) = b(s) + 6*d(s). Solve w(r) = 0.
-2, -1, 0
Let y(v) = -v - 3. Let g be y(-5). Suppose -g*d = -0*d. Factor -6 + d - 9*x - 15*x**2 - 3*x**3 + 33.
-3*(x - 1)*(x + 3)**2
Let w(o) = o**3 - 11*o**2 - 11*o - 5. Let h be w(12). Let j = 9 - h. Factor 3*z + 5*z - 9*z**3 + 6 - z**j - 11*z**2 - 5*z.
-3*(z + 1)**2*(3*z - 2)
Let d(j) = -221*j + 224. Let p be d(1). Factor -2/11 - 2/11*w**p + 2/11*w**2 + 2/11*w.
-2*(w - 1)**2*(w + 1)/11
Let w be (-248)/1180*19 - -4. Let p = w + 94/59. Determine i so that -18/5*i**5 + 16/5*i**3 - p*i**2 + 6/5*i**4 + 0 + 0*i = 0.
-1, 0, 2/3
Find r such that -2450*r + 1230*r + r**2 + 1224*r - 12 = 0.
-6, 2
Factor 0 - 14*c + 1/4*c**3 - 13/2*c**2.
c*(c - 28)*(c + 2)/4
Let q(g) be the first derivative of -g**2/2 - 12. Let b be q(-2). Suppose 1/2*u**b + 2 + 2*u = 0. Calculate u.
-2
Find m, given that 55/3*m**2 + 5*m**3 - 5 + 25/3*m = 0.
-3, -1, 1/3
Let x(r) be the third derivative of 0*r**3 + 1/50*r**5 + 0*r**6 + 0*r + 0 - 1/525*r**7 - 11*r**2 - 1/30*r**4. Solve x(w) = 0.
-2, 0, 1
Factor -2/21*w**2 - 58/7 + 176/21*w.
-2*(w - 87)*(w - 1)/21
Let p(m) be the first derivative of -m**4 + 0*m + 4*m**2 + 25 - 4/3*m**3. Factor p(l).
-4*l*(l - 1)*(l + 2)
Factor 25/2*f**3 - 132*f + 90 + 65/2*f**2.
(f + 5)*(5*f - 6)**2/2
Suppose 4*m - 3*u - 9 = 0, -4*u - 20 = -5*m - 9*u. Suppose 7 = 3*k - 2. Factor 2*b**m + b**2 + 2*b - 4*b**k + b**3.
-b*(b - 2)*(b + 1)
Let n(f) be the first derivative of -4/3*f**3 + 0*f - 1/720*f**6 - 1/60*f**5 + 0*f**2 - 1/12*f**4 - 6. Let o(x) be the third derivative of n(x). Factor o(b).
-(b + 2)**2/2
Let i(g) = g**2 + 2*g. Let h(n) = -74*n**2 - 4*n. Let v(s) = -h(s) + 2*i(s). Factor v(b).
4*b*(19*b + 2)
Suppose -5 + 14 = b. Let v(r) = 2*r - 14. Let f be v(b). Suppose -49/3*p**f + 0 - 4/3*p**2 - 28/3*p**3 + 0*p = 0. What is p?
-2/7, 0
Find f such that -17*f - 2*f**2 + 61*f + 58*f + 43 + 61 = 0.
-1, 52
Let a(v) = -5*v**3 + 36*v**2 - 36*v + 5. Let b(s) = -3*s**3 + 24*s**2 - 24*s + 3. Let p(y) = 5*a(y) - 7*b(y). Factor p(q).
-4*(q - 1)**3
Let m(r) be the second derivative of r**6/165 + 6*r**5/55 + 6*r**4/11 + 32*r**3/33 + 3*r - 173. Factor m(t).
2*t*(t + 2)**2*(t + 8)/11
Let v(t) be the third derivative of 1/240*t**5 + 0*t - 1/240*t**6 + 0*t**3 + 1/840*t**7 + 0*t**4 + 0 - 13*t**2. Find u, given that v(u) = 0.
0, 1
Let g be 3 + (-260)/84 + 8996/2730. Find u such that 32/5 - g*u + 2/5*u**2 = 0.
4
Let p be (-33)/(-66) - (3/2 + (15 - 18)). Factor 0 - 33/4*x - 3/4*x**p.
-3*x*(x + 11)/4
Factor -2/7*f**2 + 90/7 - 88/7*f.
-2*(f - 1)*(f + 45)/7
Let o = 21 + -18. Find j, given that -4*j - 6 + 4*j - o*j + 3*j**2 = 0.
-1, 2
Let d(i) be the second derivative of 0*i**3 + 0*i**2 + 1/50*i**6 - 15*i + 0*i**5 + 0 - 1/20*i**4. Solve d(u) = 0.
-1, 0, 1
Factor -15*j**3 - 8*j**2 + 28/3*j + 16/3.
-(3*j + 2)**2*(5*j - 4)/3
Let l(m) be the first derivative of -m**5/140 + m**4/14 - 14*m**2 + 29. Let k(i) be the second derivative of l(i). Factor k(u).
-3*u*(u - 4)/7
Let r(k) be the third derivative of k**7/840 + 11*k**6/480 - k**5/80 - 31*k**4/96 + 11*k**3/12 + 83*k**2. Factor r(y).
(y - 1)**2*(y + 2)*(y + 11)/4
What is y in -1/4*y**4 + 7/2*y**3 + 35*y - 69/4*y**2 - 25 = 0?
2, 5
Let z(k) be the second derivative of k**6/3 + k**5/4 - 10*k**4 + 50*k**3/3 + 40*k**2 - 77*k. Factor z(w).
5*(w - 2)**2*(w + 4)*(2*w + 1)
Let j = -3625 - -54404/15. Let d = j + -3/5. Let -14/3*p + 4/3 + d*p**4 - 14/3*p**5 - 8/3*p**2 + 28/3*p**3 = 0. Calculate p.
-1, 2/7, 1
Let h = 14 - 11. Suppose -5*u + 217 = -3*o, -u + 135 = 2*u + h*o. Factor 5*b + 1 - u*b**3 + 42*b**3 - 2*b**5 + 6*b**2 - 7*b**4 - b**5.
-(b - 1)*(b + 1)**3*(3*b + 1)
Let u = 111 + -76. Determine t so that -33*t + 6 + u*t - 2*t**3 - 4*t**2 - 2 = 0.
-2, -1, 1
Let x(i) be the second derivative of 3*i**5/40 - 17*i**4/8 - 9*i**3/2 + 328*i. Factor x(b).
3*b*(b - 18)*(b + 1)/2
Let h be (-41)/(-105) - (-19 + 1440/75). Find u such that 0*u**2 + 2/21 - 2/21*u**4 - h*u**3 + 4/21*u = 0.
-1, 1
Suppose 3*u - 5*g + 4 = -38, -4*g + 30 = -2*u. Let p(o) = -15*o - 133. Let b be p(u). Solve -2/11*x**b + 8/11 + 0*x = 0.
-2, 2
Factor -1/4*r + 1/2 - 1/4*r**2.
-(r - 1)*(r + 2)/4
Let x(b) be the third derivative of -2*b**7/105 - b**6/15 + 28*b**5/15 + 4*b**4/3 - 64*b**3 - 9*b**2 + 6*b. Let x(m) = 0. What is m?
-6, -2, 2, 4
Suppose 0 = 2*f + 3*t - 13, -3*t = -0*f + 3*f - 15. Let x be -4 + (9 + -1 - f). Determine h, given that 0*h - 2/3*h**x + 8/3 = 0.
-2, 2
Suppose b = -4*b + 30. Let d be (4/b)/(5 - 10/4). Determine s so that -6/5*s**3 + 0*s - 14/15*s**4 - d*s**2 + 0 = 0.
-1, -2/7, 0
Let r(v) be the third derivative of v**5/60 + v**4/108 + v**2 + 2. Factor r(a).
a*(9*a + 2)/9
Suppose -16*a + 107 - 27 = 0. Let m(x) be the third derivative of 0*x**3 - 1/36*x**a + 0 - 1/36*x**4 + 5*x**2 + 0*x. Find i, given that m(i) = 0.
-2/5, 0
Suppose 2*w - 7 = -5*y + 4, -4*y - 8 = -4*w. Solve 3*l**4 + 0 + 15*l**w + 9*l**2 - 10 - 2 - 15*l = 0.
-4, -1, 1
Let r = -841/3 + 1757/6. Factor 10 + 5/2*m**2 - r*m.
5*(m - 4)*(m - 1)/2
Let m be 45/36*(-118)/15. Let x = -28/3 - m. Solve -x*z**4 - z**3 + 1/2*z - 1/2 + z**2 + 1/2*z**5 = 0 for z.
-1, 1
Factor 44*b + 67*b + 3*b**2 - 36*b.
3*b*(b + 25)
Let r = 2824/1041 - 16/347. Solve -r - 5/3*b**3 + 1/3*b**4 + 2*b**2 + 4/3*b = 0.
-1, 2
Let o be 3287/1038 + (-14)/12. Suppose -2*y = -2 - 8. Solve 0 + 7/3*v**3 + 0*v - 5*v**4 - 1/3*v**o + 3*v**y = 0.
0, 1/3, 1
Let v(h) be the second derivative of -h**7/1680 + h**6/720 + h**5/120 + 5*h**3/6 + 9*h. Let m(z) be the second derivative of v(z). Determine p so that m(p) = 0.
-1, 0, 2
Suppose 26*z = -35*z + 244. Let g(q) be the second derivative of q**5 + 0*q**3 - 14/15*q**6 + 0 + 4*q + 2/3*q**z + 0*q**2. Factor g(c).
-4*c**2*(c - 1)*(7*c + 2)
Let t(u) be the second derivative of -1/7