e of d**8/5880 + d**7/1470 - d**5/210 - d**4/84 + 5*d**3/6 + 2*d**2. Let w(n) be the first derivative of l(n). Factor w(p).
2*(p - 1)*(p + 1)**3/7
Let b(o) be the first derivative of -1/7*o**2 + 4/7*o + 1/7*o**4 - 8/21*o**3 - 1/21*o**6 + 4/35*o**5 + 1. Determine q so that b(q) = 0.
-1, 1, 2
Let q be (-4)/18 - 94/(-18). Solve 0*d**2 + q*d**3 - 3*d - d - 3*d**3 - 2*d**2 = 0 for d.
-1, 0, 2
Let a = -2/597 + 1795/1194. Factor -a + 9/4*c - 3/4*c**2.
-3*(c - 2)*(c - 1)/4
Let y = 2/63 + 40/63. Let 2/3*j**2 - y*j - 4/3 = 0. What is j?
-1, 2
Let y(v) = 3*v**2 - 6*v - 1. Let w(s) = -s**2 + s. Let l(c) = -4*w(c) - y(c). Factor l(p).
(p + 1)**2
Let t be 12/7 - (-2)/7*1. Determine u, given that 1/4*u**t - 1/2*u + 1/4 = 0.
1
Let w(f) = -f + 14. Let u be w(13). Let b(k) = k**2 + 1. Let x(m) = 0*m - 2 - 2*m - 2*m**2 + m**2. Let d(q) = u*x(q) + 2*b(q). Factor d(s).
s*(s - 2)
Let p(g) be the first derivative of -g**3/3 + 7*g**2/2 - 6*g - 3. Let h be p(5). Factor c + 0*c**2 - 2*c**5 + 0*c**5 - 3*c + 2*c**h - 4*c**2 + 4*c**3 + 2.
-2*(c - 1)**3*(c + 1)**2
Let l(i) = 3*i**5 - 9*i**4 + 4*i**3 - 3*i**2. Let u(a) = 3*a**5 - 9*a**4 + 3*a**3 - 3*a**2. Let v(q) = -6*l(q) + 5*u(q). Solve v(d) = 0 for d.
0, 1
Let h be (-1 - -2)/((-4)/(-84)). Let n be ((-28)/h)/((-2)/3). Determine l, given that 0 + 0*l + 0*l**n - 2/3*l**3 = 0.
0
Suppose 5*z - 25 + 10 = 0. Let f(c) = c**2 - 4. Let r(i) be the first derivative of i**3/3 - 5*i + 1. Let g(b) = z*r(b) - 4*f(b). Factor g(q).
-(q - 1)*(q + 1)
Let v(j) = 3*j + 1. Let g be v(-1). Let s = g + 8. Let i(l) = 11*l**3 - 13. Let t(d) = 5*d**3 - 6. Let p(u) = s*i(u) - 13*t(u). Factor p(h).
h**3
Let h(w) be the third derivative of -1/18*w**3 - 2*w**2 + 0 + 0*w - 1/180*w**5 + 1/36*w**4. Factor h(u).
-(u - 1)**2/3
Let g be -2 + 1 + 48/6. Let d = g + -12. Let n(v) = 4*v**2 + 6*v. Let z(t) = -9*t**2 - 13*t + 1. Let w(p) = d*n(p) - 2*z(p). Factor w(o).
-2*(o + 1)**2
Let i be (-8 - 1)/((-21)/98). Let f be (-16)/56 + 152/i. Let 0 + 2/3*h**4 - 8/3*h**3 - 4/3*h + f*h**2 = 0. What is h?
0, 1, 2
Let h(q) = q**2 - 12*q + 15. Let j be h(11). Find b, given that -225*b**3 - 2 - j - 39*b - 127*b**2 - 38*b**2 + 3 = 0.
-1/3, -1/5
Let o(j) = j**2 - 8*j + 7. Let d be o(7). Let a be (0 + 4 + -3)*d. Factor 8/7*w**2 + a + 12/7*w**3 + 2/7*w + 2/7*w**5 + 8/7*w**4.
2*w*(w + 1)**4/7
Find o such that 0 + 2*o**3 - 4/3*o + 2/3*o**2 - 2/3*o**5 - 2/3*o**4 = 0.
-2, -1, 0, 1
Let u(m) = 2*m. Let d be u(2). Let j = -11 - -15. Solve n**2 + 5*n**2 + 2*n - j - 2*n**3 - 2*n**d + 0*n**2 = 0 for n.
-2, -1, 1
Let p(u) be the first derivative of u**3/9 - u**2/6 - 2*u/3 + 4. Factor p(j).
(j - 2)*(j + 1)/3
Let n(g) be the third derivative of 0*g + 2*g**2 - 1/105*g**6 - 8/735*g**7 + 1/12*g**4 + 2/21*g**3 - 1/392*g**8 + 0 + 1/35*g**5. What is b in n(b) = 0?
-1, -2/3, 1
Determine u, given that -32/5*u + 0 + 32*u**2 - 14/5*u**5 - 192/5*u**3 + 88/5*u**4 = 0.
0, 2/7, 2
Let q = -3 + -1. Let t be 70/10*q/(-98). Determine n so that t*n - 2/7 - 2/7*n**3 + 2/7*n**2 = 0.
-1, 1
Let y(w) = w**2 + 1. Let x be y(1). Factor -3 + 6 + a**x + a - 3.
a*(a + 1)
Let u(t) = 8*t**3 + 35*t**2 + 14*t - 5. Let j(f) = -2*f**3 + f**2 - 1. Let o(i) = -4*j(i) + u(i). Factor o(g).
(g + 1)**2*(16*g - 1)
Suppose -10 = -4*z + 3*n + 6, 0 = -3*n. Solve -t**3 + 3*t**3 + 0*t**4 - 2*t**4 + z*t**2 = 0.
-1, 0, 2
Let g(i) = 4*i**4 + 22*i**3 + 10*i**2 - 7*i. Let z(m) = 2*m**4 + 11*m**3 + 5*m**2 - 3*m. Let f(v) = -6*g(v) + 14*z(v). Determine d so that f(d) = 0.
-5, -1/2, 0
Suppose 6/7 - 6*f**3 - 38/7*f + 66/7*f**2 + 8/7*f**4 = 0. What is f?
1/4, 1, 3
Let s(a) be the second derivative of -a**7/147 + a**6/105 + 3*a**5/70 - a**4/42 - 2*a**3/21 + 7*a. Determine w so that s(w) = 0.
-1, 0, 1, 2
Let o(m) be the third derivative of -m**5/330 + m**4/66 - m**3/33 + 3*m**2. Suppose o(y) = 0. Calculate y.
1
Let t = -355 - -2486/7. Factor -t*y**3 + 4/7*y**2 + 2/7 - 5/7*y.
-(y - 2)*(y - 1)**2/7
Let i(p) be the second derivative of p**6/120 - p**5/60 + p**2/2 + 5*p. Let b(r) be the first derivative of i(r). Solve b(x) = 0.
0, 1
Suppose -4*p = -7*p. Suppose p = -5*c + 2*u + 10, -c + 6 + 4 = -2*u. Factor v + c - 1/2*v**2.
-v*(v - 2)/2
Let s = 62 - 43. Let f = s + -17. Factor -12/5*v + 18/5 + 2/5*v**f.
2*(v - 3)**2/5
Let o be 34/(-9) - (-2 + -2). Let h(k) be the second derivative of -1/18*k**4 + k + 0 + o*k**3 + 0*k**2. Find u such that h(u) = 0.
0, 2
Let r(k) be the third derivative of -1/180*k**6 + 2/45*k**5 + 1/1008*k**8 + 0 - 1/315*k**7 - 7/72*k**4 + 1/9*k**3 + 2*k**2 + 0*k. Solve r(c) = 0 for c.
-2, 1
Factor -1/3*z - 1/6 - 1/6*z**2.
-(z + 1)**2/6
Suppose u - 106 = -8. Let k = u + -487/5. Factor -k*n**3 + 0 - 1/5*n**4 + 0*n - 2/5*n**2.
-n**2*(n + 1)*(n + 2)/5
Suppose 2*s - 5*s = -3*x - 9, -4*s - 9 = 3*x. Suppose -6*z + z = s. Let 1/3*i**2 + 0*i - 2/3*i**3 + z + 1/3*i**4 = 0. What is i?
0, 1
Factor 0*b + 0 - 3/5*b**4 - 3/5*b**5 + 3/5*b**3 + 3/5*b**2.
-3*b**2*(b - 1)*(b + 1)**2/5
Let g(k) be the first derivative of -k**4/2 - 2*k**3 - 2*k**2 + 58. Factor g(b).
-2*b*(b + 1)*(b + 2)
Let d(r) = r + 1. Let p(g) be the first derivative of -2 - 2/3*g**3 + 11/2*g**2 - 5*g. Let t(o) = 3*d(o) - p(o). Let t(i) = 0. What is i?
2
Let x(s) = 2*s**3 + 4*s**2 - s - 5. Let k(f) = -f + 1. Let p(h) = 5*k(h) + x(h). Factor p(y).
2*y*(y - 1)*(y + 3)
Let x(a) be the third derivative of a**6/80 - a**4/16 + 5*a**2. Factor x(v).
3*v*(v - 1)*(v + 1)/2
Let v = -17 - -17. Let k(y) be the first derivative of 3/2*y**4 - 1 + v*y**3 - 3/5*y**5 + 0*y + 0*y**2. Let k(b) = 0. Calculate b.
0, 2
Suppose 4*l - 2*h - 10 = -0*l, -h = -5*l + 17. Let i(d) be the second derivative of 1/70*d**5 + 1/7*d**l + d + 0 + 4/7*d**3 + 8/7*d**2. Let i(r) = 0. What is r?
-2
Let d(a) be the first derivative of 5/4*a**4 - 4/5*a**5 + 0*a - 1/3*a**3 - 1 + 0*a**2. Factor d(j).
-j**2*(j - 1)*(4*j - 1)
Let l(j) = j**2 - j + 1. Let b be l(2). Let v(t) be the second derivative of -4/3*t**3 + 0 - 1/6*t**4 + b*t - 4*t**2. Factor v(u).
-2*(u + 2)**2
Let l(p) be the third derivative of 1/30*p**5 + 0 + p**2 - 1/12*p**4 + 0*p - 2/3*p**3. Factor l(a).
2*(a - 2)*(a + 1)
Let x(u) be the second derivative of 3*u**5/8 + 5*u**4/6 - 25*u**3/12 - 5*u**2/2 - 12*u. Determine p so that x(p) = 0.
-2, -1/3, 1
Let j(u) = u**3 + 6*u**2 - 3*u + 2. Let i be j(-6). Suppose 5*y = -c + 2*c + i, 2*c - 4 = -y. Factor -2/7*m - 2/7*m**2 + c.
-2*m*(m + 1)/7
Let u(c) be the third derivative of 0 + 2*c**2 + 1/32*c**4 - 1/12*c**3 + 1/120*c**6 + 7/120*c**5 - 1/192*c**8 + 0*c - 1/70*c**7. Let u(h) = 0. Calculate h.
-1, 2/7, 1
Suppose -4*v + 6*v = 94. Suppose 5*t + 17 = v. Find h, given that 3*h**3 - t*h**4 + 6*h**5 - 8*h**5 + 5*h**5 = 0.
0, 1
Let k(n) = 15*n**3 - 39*n**2 - 18*n - 6. Let i(o) = -45*o**3 + 117*o**2 + 54*o + 17. Let v(l) = -6*i(l) - 17*k(l). Find a, given that v(a) = 0.
-2/5, 0, 3
Let z = -44 - -46. Let v(i) be the second derivative of -1/42*i**7 - 2*i + 0*i**4 + 0*i**z + 0*i**5 + 0*i**3 + 0 + 1/30*i**6. Factor v(c).
-c**4*(c - 1)
Let k = 78 + -76. Find n, given that 0 - 1/6*n**k - 1/6*n**5 + 1/6*n**4 + 1/6*n**3 + 0*n = 0.
-1, 0, 1
Let u(m) be the first derivative of m**4/4 + m**3/3 - m**2/2 - m - 1. Factor u(n).
(n - 1)*(n + 1)**2
Determine h so that -2*h + 7*h**2 - 4*h - 5*h**2 = 0.
0, 3
Let q(z) = 0 + 1 + 2*z**2 + 2 + 7*z - 4*z + 4*z**3. Let j(r) = -23*r**3 - 11*r**2 - 17*r - 17. Let p(m) = 6*j(m) + 34*q(m). Determine x so that p(x) = 0.
0, 1
Let c(a) be the third derivative of -a**5/240 - a**4/96 - 7*a**2. Find m, given that c(m) = 0.
-1, 0
Let s(z) = 12*z. Let w be s(1). Suppose 2*v = 4*v - w. Factor -b - 3*b - 2*b - 2*b**3 - v*b**2 - 2.
-2*(b + 1)**3
Let v be (-3 - -1) + -1 - -7. Factor r + 8*r**4 - 3*r - 6*r**2 - 10*r**v - 6*r**3.
-2*r*(r + 1)**3
Suppose -6*q + 17 = 5. Let n(j) be the third derivative of 0*j**5 + 0 + 1/18*j**4 - 1/90*j**6 + 0*j + j**q + 1/315*j**7 - 1/9*j**3. Factor n(z).
2*(z - 1)**3*(z + 1)/3
Let z(y) = -y**2 - 20*y - 31. Let h be z(-2). What is i in 6/5*i**3 - 2/5*i**2 + 0 + 2/5*i**h + 0*i - 6/5*i**4 = 0?
0, 1
Let w(b) be the second derivative of 1/3*b**2 + 1/36*b**4 + 1/6*b**3 + 0 - b. Determine c so that w(c) = 0.
-2, -1
Let o be -1 - (10/(-13) + 0). Let k = o - -19/26. Factor -2*r + 2 + k*r**2.
(r - 2)**2/2
Let k be ((-4)/84)/(44/(-16572)). Let w = -123/7 + k. Solve 6/11*x**3 + 0 + w*x**2 + 0*x =