or n(z).
-z*(z - 1)**2/7
Let n(l) = 47*l**2 + 2*l + 11. Let p be n(6). Solve 160*h**2 + 1054*h + 5*h**3 + p - 319*h - 55*h**2 = 0.
-7
Let m = -84 - -83. Let l be (7 - m)/(55/(-20) - -4). What is v in -16/5*v + 2/5*v**2 + l = 0?
4
Let c(r) be the third derivative of -r**8/84 - 2*r**7/21 + 4*r**6/5 + 28*r**2 - 5. Factor c(v).
-4*v**3*(v - 3)*(v + 8)
Let f(l) be the second derivative of 2*l**4/51 + 13*l**3/51 + 3*l**2/17 - 112*l. Find m, given that f(m) = 0.
-3, -1/4
Let z(l) = 10 + 10 + 243*l**2 - 29 + 51*l. Let h(i) = -122*i**2 - 26*i + 4. Let x(j) = 13*h(j) + 6*z(j). Factor x(s).
-2*(8*s + 1)**2
Let j(d) be the third derivative of 1/200*d**6 + 0*d**3 - 14*d**2 + 0*d**5 + 1/175*d**7 + 0 + 1/560*d**8 + 0*d + 0*d**4. Solve j(f) = 0.
-1, 0
Solve 1/2*g**3 + 8/3*g + 0 + 13/3*g**2 = 0 for g.
-8, -2/3, 0
Suppose -3*k + 16 = 5*g, -9*g + 5*g + 4*k = 0. Let m(o) be the third derivative of 5/24*o**4 - 1/20*o**5 - 1/3*o**3 - g*o**2 + 0 + 0*o. Factor m(y).
-(y - 1)*(3*y - 2)
Let p(h) be the third derivative of h**6/280 - 3*h**5/14 + 9*h**4/2 - 28*h**3 - 5*h**2 + 19*h. Suppose p(r) = 0. Calculate r.
2, 14
Solve -3/7*l**2 - 36*l - 756 = 0.
-42
Let w(a) = -2*a**2 + 2*a - 1. Let p(f) = f**2 - f - 1. Let i(q) = 3*p(q) - w(q). Let v(t) = -t**2. Let u(h) = 5*i(h) + 35*v(h). Solve u(k) = 0 for k.
-2, -1/2
Let c(h) = h**3 + 2*h**2 - 5*h - 2. Let o be c(-3). Let k(i) be the first derivative of 2*i**2 + 10*i**4 - 1 - 11*i**o - 1. Solve k(z) = 0.
-1, 0, 1
Factor 8/11 + 2/11*y**2 - 8/11*y.
2*(y - 2)**2/11
Factor -11/7*c - 4/7*c**3 - 45/7*c**2 + 0.
-c*(c + 11)*(4*c + 1)/7
Let g = 163/21 + -52/7. Determine s so that 8/3*s + 0 - g*s**2 = 0.
0, 8
Let w(b) = -b**3 + 3*b**2 + 2*b - 1. Let r be w(3). Suppose -r*s + 23 = 3. Suppose s*y + 164*y**2 + 12*y - 16 - 168*y**2 = 0. What is y?
2
Suppose 2*h + 22 = 22. Factor 35*z**2 - 115*z + 23 + h + 7.
5*(z - 3)*(7*z - 2)
Let d(y) be the third derivative of -y**6/60 - 2*y**5/3 + 16*y**2 + 4*y. Find r, given that d(r) = 0.
-20, 0
Let g(i) be the second derivative of i**5/120 + 7*i**4/6 + 196*i**3/3 + 5488*i**2/3 - 106*i. What is l in g(l) = 0?
-28
Let g(z) = z**3 - 6*z**2 + 8*z - 3. Let c be g(5). Let p = c - 8. Factor 1 - 1 + 24*u**3 - 36*u**2 + 0 - 4*u**p.
-4*u**2*(u - 3)**2
Let u(h) be the first derivative of 8*h**5/5 - 7*h**4/2 - 36*h**3 - 53*h**2 - 20*h + 1128. Let u(m) = 0. What is m?
-2, -1, -1/4, 5
Let 90*i - 166 + 321 + 72 + 448 + 3*i**2 = 0. What is i?
-15
Let f(w) be the first derivative of 5/18*w**3 - 25/3*w - 5/4*w**2 - 37. Factor f(y).
5*(y - 5)*(y + 2)/6
Let h(y) be the third derivative of -y**5/80 + y**4/32 + y**3/4 - 201*y**2. Factor h(k).
-3*(k - 2)*(k + 1)/4
Let c = -1 + 6. Find s such that -6*s**c + 2*s + s**5 + 10*s**4 - 10*s**2 + 3*s = 0.
-1, 0, 1
Let a(b) be the second derivative of 4*b - 1/6*b**4 - 2*b**2 + 0 - 4/3*b**3 + 1/15*b**5. Let c(k) be the first derivative of a(k). Solve c(d) = 0 for d.
-1, 2
Let u(y) be the first derivative of -2*y**3/39 - 16*y**2/13 + 72*y/13 - 221. Factor u(c).
-2*(c - 2)*(c + 18)/13
Suppose 0 + 14/9*f + 2/9*f**3 - 16/9*f**2 = 0. Calculate f.
0, 1, 7
Let n = -6704 - -1763154/263. Let w = 2363/526 + n. Factor 3 - w*o - 21/2*o**3 - 18*o**2.
-3*(o + 1)**2*(7*o - 2)/2
Let n(s) = 5*s**3 - s. Let g(p) = 4*p - 65*p**3 - 4*p + 64*p**3. Let j(o) = 20*g(o) + 5*n(o). Factor j(x).
5*x*(x - 1)*(x + 1)
Suppose 2*t + 5*t + 840 = 0. Let z = t - -481/4. Factor 0 - z*u**2 + 1/4*u.
-u*(u - 1)/4
Suppose 2*w = 10, -5*s + 278 = -4*w - 27. Factor -110 - 10*c + 45*c**3 + 5*c**2 + 25*c**5 - s*c**4 + 110.
5*c*(c - 1)**3*(5*c + 2)
Let u(a) be the third derivative of 1/12*a**5 + 12*a**2 + 0 + 5/6*a**3 - 5/12*a**4 + 0*a. Factor u(o).
5*(o - 1)**2
Let d(m) = m**3 + 5*m**2 + 11*m + 7. Let c(j) = -j**2 - j - 1. Let k be 2 + (-9)/(6 - 3). Let t(q) = k*d(q) + c(q). Factor t(g).
-(g + 2)**3
Let d be 24/4 + -3 + 1. Suppose -14 = 3*u - d*p, -3*u - 24 = -5*u - 4*p. Determine m so that -m**4 - u*m**3 + m**5 + 4*m**3 - 2*m**4 = 0.
0, 1, 2
Let f(b) be the second derivative of -b**6/35 + 134*b**5/35 - 1320*b**4/7 + 3600*b**3 + 54000*b**2/7 - 4*b - 2. Let f(d) = 0. What is d?
-2/3, 30
Let o(l) = l - 13. Let b be o(16). Suppose -b*x = -v - 0*v - 4, 0 = 5*x - 3*v. Solve -3/2*t**3 - x + 0*t**2 + 9/2*t = 0.
-2, 1
Let a(o) = o**3 + o**2 - 2*o + 1. Let j(f) = 15*f**3 + 5*f**2 - 80*f + 10. Let q(b) = -10*a(b) + j(b). What is z in q(z) = 0?
-3, 0, 4
Let l = -308 - -310. Suppose -4 = 5*o - 14. Factor 6*y + l*y + 4*y**o + 0*y.
4*y*(y + 2)
Let z be -1 - ((-24)/204 + 286/(-170)). Factor 0 - z*p + 4/5*p**2.
4*p*(p - 1)/5
Let t(b) be the second derivative of -b**6/900 + b**5/50 - 4*b**3 + b + 1. Let v(c) be the second derivative of t(c). What is y in v(y) = 0?
0, 6
Let j(y) be the first derivative of 24/11*y + 60/11*y**2 + 14 - 2*y**3. Factor j(p).
-6*(p - 2)*(11*p + 2)/11
Suppose -23 = -5*z + 2*c, -3*z = z - c - 19. Let y be (-1 + z)/((-28)/(-14)). Factor w**4 + 3*w + 0*w**4 - w**2 - 3*w**3 - 2*w + y*w**5.
w*(w - 1)*(w + 1)**2*(2*w - 1)
Let z be 9/6*(-42)/(-9). Let d = 11 - z. Suppose -u**d - 1 + 3 + 2*u**3 - 1 - 5*u + 3*u = 0. What is u?
-1, 1
Let c be 407*((-152)/30 + 11 + -6). Let r = -27 - c. Factor -4/15*a**2 + 0 - r*a - 2/15*a**3.
-2*a*(a + 1)**2/15
Let z(t) be the first derivative of 6*t**5/5 - 43*t**4 + 274*t**3/3 - 54*t**2 - 452. Factor z(g).
2*g*(g - 27)*(g - 1)*(3*g - 2)
Let m = 358/15 + -701/30. Suppose -1/6*w**4 - m*w**2 + 2/3 - 2/3*w**3 + 2/3*w = 0. Calculate w.
-2, -1, 1
Let b(h) = h**2 - 7*h - 5. Let z be b(8). Let k(f) be the first derivative of 0*f - 1/8*f**4 + 1/6*f**z - 6 - 1/10*f**5 + 1/4*f**2. Factor k(o).
-o*(o - 1)*(o + 1)**2/2
Suppose 58 = 2*w - t + 24, -17 = -w - 3*t. Let y = -15 + w. Solve 4 - 28*j - y*j**4 - 52*j**3 + 73*j**2 - 13*j**2 + 18*j**4 = 0.
1/4, 1
Suppose 1/8*j**4 - j + 3/8*j**3 + 0 - 3/4*j**2 = 0. What is j?
-4, -1, 0, 2
Let c = 110 - 92. Determine x so that -11*x**4 - 108*x**3 + 56*x**4 + 21*x**2 + c*x - 27 - 6*x**5 - 30*x**2 + 87*x**2 = 0.
-1/2, 1, 3
Let f(u) be the first derivative of -u**6/3 + 2*u**5/3 + u**4/3 + 76. Factor f(i).
-2*i**3*(i - 2)*(3*i + 1)/3
Let y(k) be the first derivative of -4*k**5/25 + k**4 + 180. Factor y(x).
-4*x**3*(x - 5)/5
Let b(s) = -s**3 - s**2 + s - 1. Let n(g) = 5*g**4 + 80*g**3 - 110*g**2 - 80*g + 85. Let r(d) = -10*b(d) + n(d). Factor r(v).
5*(v - 1)**2*(v + 1)*(v + 19)
Let f be (-2)/(-5) - (-11 + 77/7). Find m, given that -4/5 - 2/5*m**4 + f*m + 6/5*m**2 - 2/5*m**3 = 0.
-2, -1, 1
Determine w so that -65*w**3 + 0*w**2 + 48*w**3 + 25*w - 2*w**4 - 22*w**2 - 32*w = 0.
-7, -1, -1/2, 0
Suppose -33 = -2*w - 29. Let g(o) be the third derivative of -4/3*o**3 - 5/3*o**4 - 17/30*o**5 - 6*o**w + 0 - 1/15*o**6 + 0*o. Factor g(h).
-2*(h + 2)**2*(4*h + 1)
Let b(w) be the first derivative of -w**4/4 + 2*w**3 + w**2/2 - 6*w + 34. Find d such that b(d) = 0.
-1, 1, 6
Let w = 235 + -85. Let i = w + -150. What is d in 0 + i*d**3 + 0*d + 0*d**2 + 1/2*d**4 - 1/2*d**5 = 0?
0, 1
Let k(x) be the second derivative of -56*x**7/15 + 728*x**6/25 - 2193*x**5/25 + 1886*x**4/15 - 424*x**3/5 + 144*x**2/5 - 246*x. Suppose k(b) = 0. Calculate b.
2/7, 3/2, 2
Let c(b) be the third derivative of 1/315*b**7 - 5/1008*b**8 + 0*b**3 + 0*b**4 + 19*b**2 + 1/72*b**6 + 0 - 1/90*b**5 + 0*b. Let c(w) = 0. Calculate w.
-1, 0, 2/5, 1
Let i(p) be the second derivative of -5/12*p**2 + 1/72*p**4 + 0 - 3*p - 1/9*p**3. Factor i(z).
(z - 5)*(z + 1)/6
Let h = -5342/5 + 1069. Suppose 0 + 4/5*r**3 - h*r**2 - 1/5*r = 0. What is r?
-1/4, 0, 1
Let b(m) be the second derivative of m**6/240 - m**5/40 - m**4/16 + m**3/12 + 5*m**2/16 + 8*m + 6. Factor b(z).
(z - 5)*(z - 1)*(z + 1)**2/8
Let a(f) = -2*f**2 - 6*f - 4. Let q be a(-7). Let d be (-2)/(2*-1) + 45/q. Factor -d*b**2 + 0 + 0*b.
-b**2/4
Suppose 14 + 16 = -5*z. Let l(i) = -8*i**3 - 2*i**2 - 8*i + 7. Let y(d) = 7*d**3 + 2*d**2 + 7*d - 6. Let p(a) = z*l(a) - 7*y(a). Factor p(r).
-r*(r + 1)**2
Suppose 0*j + 424 = 5*f - 2*j, -5*j = f - 74. Let q = -250/3 + f. Let q*t**3 - 1/3 + 0*t**2 + 1/3*t**4 - 2/3*t = 0. What is t?
-1, 1
Let j(a) be the third derivative of a**7/504 - a**6/144 - 23*a**4/12 - 45*a**2. Let x(g) be the second derivative of j(g). Factor x(r).
5*r*(r - 1)
Let p(l) be the second derivative of l**4/32 + 5*l**3/16 - 9*l**2/8 - 154*l - 2. Determine j, given that p