+ 5*w - 1/2*w**2 = 0.
-1, 11
Factor -3/5*s**2 + 3*s + 0.
-3*s*(s - 5)/5
Let p = 2687/3556 + -5/889. Factor 0*c**4 + 0*c - p*c**3 + 0 + 1/4*c**5 + 1/2*c**2.
c**2*(c - 1)**2*(c + 2)/4
Let q(z) be the third derivative of 0*z**4 + 2/15*z**5 + 0*z + 0*z**6 + 0 - 11*z**2 - 2/105*z**7 - 2/3*z**3. Solve q(k) = 0 for k.
-1, 1
Let o be 2/((-6)/15) - (-1678)/280. Let w = o - -3/20. Factor -w - 2/7*t**2 + 8/7*t.
-2*(t - 2)**2/7
Factor 40/3*l**2 + 108 - 78*l - 2/3*l**3.
-2*(l - 9)**2*(l - 2)/3
Let f(o) be the second derivative of -6*o - 1/18*o**4 + 0 + 2/9*o**3 - 1/30*o**5 + 0*o**2. Factor f(r).
-2*r*(r - 1)*(r + 2)/3
Let k be (-24)/(1368/381) + -1 + 8. Find z, given that 2/19*z**2 - 8/19 + k*z = 0.
-4, 1
Let h(y) = 3*y**2 - 78*y + 507. Let c(d) = 3*d**2 - 78*d + 507. Let r(a) = 3*c(a) - 4*h(a). Factor r(m).
-3*(m - 13)**2
Let c be 2/(-9) - (-22)/18. Let g be c + 8/20*5. Suppose 9*r**2 + 12*r + 0 + g*r**4 - 9 - 3 - 12*r**3 = 0. Calculate r.
-1, 1, 2
Let g(c) be the second derivative of -1/9*c**4 + 1/90*c**5 + 0 + 3*c + 4/9*c**3 - 8/9*c**2. Suppose g(t) = 0. Calculate t.
2
Suppose 0 = -3*t + l + 3, 0 = 3*t - 0*t + 3*l - 3. Suppose 2*r - t = 11. Determine d so that 127*d**2 - r - 127*d**2 + 9*d - 3*d**3 = 0.
-2, 1
Let q be 20/(-550) - 84/(-110). Solve 4/11 + q*p**2 + 10/11*p + 2/11*p**3 = 0.
-2, -1
Let p(b) be the second derivative of b**5/90 + 19*b**4/54 + 80*b**3/27 - 100*b**2/9 + 309*b. Factor p(r).
2*(r - 1)*(r + 10)**2/9
Let w = 1 - -2. Factor -w*o - o + 6 + 8*o + 2*o**2 - 12.
2*(o - 1)*(o + 3)
Suppose -14*d - d = 45. Let z(b) = -b**4 - b**3 - b**2 - b - 1. Let x(a) = -a**4 - 5*a**3 - 15*a**2 + 5*a + 13. Let u(c) = d*z(c) + x(c). Factor u(i).
2*(i - 2)**2*(i + 1)*(i + 2)
Let p(h) be the third derivative of 0*h**3 - 13*h**2 - 7/720*h**6 + 0*h + 0 + 1/36*h**4 - 1/420*h**7 + 0*h**5. Determine t so that p(t) = 0.
-2, -1, 0, 2/3
Let h(b) be the second derivative of b**5/2 + 8*b**4 + 85*b**3/3 - 42*b**2 + 98*b. Determine z, given that h(z) = 0.
-7, -3, 2/5
Suppose -6 = 7*l - 4*l + 3*q, -3*q - 9 = 0. Suppose -2*s + 7 = -l. Find y such that 0 + 3/5*y**s + 3/5*y**3 + 0*y - 6/5*y**5 + 0*y**2 = 0.
-1/2, 0, 1
Let a(u) = -u**3 - u - 1. Let q(h) be the first derivative of 12*h + 8*h**3 + 15/4*h**4 + 5 + 27/2*h**2. Let r(n) = -6*a(n) - q(n). Factor r(p).
-3*(p + 1)**2*(3*p + 2)
Let z be 5 + 3/(31500/(-49556)). Let r = z + 2/375. Find k such that 4/7 + 1/7*k**4 + r*k**3 - 3/7*k**2 - 4/7*k = 0.
-2, 1
Let x be (-5)/(-20)*(-30 + 32). Suppose -1/3 + x*h - 1/6*h**2 = 0. What is h?
1, 2
Let b(m) be the first derivative of 17 - 2/5*m**3 + 0*m + 0*m**2 + 2/5*m**4 - 2/25*m**5. Find n, given that b(n) = 0.
0, 1, 3
Let 283*f**3 - 343*f**3 + 0 - 16 + 76*f**2 = 0. Calculate f.
-2/5, 2/3, 1
Let b = 48 + 25. Let z = 74 - b. Let 1/3*f**2 - z + 2/3*f = 0. What is f?
-3, 1
Let t(i) be the first derivative of 0*i**3 - 4*i + 9 + 4*i**2 - 2*i**4 + 4/5*i**5. Factor t(b).
4*(b - 1)**3*(b + 1)
Suppose -265*s - 114 = -284*s. Let q(r) be the first derivative of 0*r**2 - 2/21*r**3 + s + 8/7*r. Factor q(b).
-2*(b - 2)*(b + 2)/7
Let p be (8/14)/(11/(77/2)). Suppose 0*i = -3*i - 6, 2*o + 5*i = p. Suppose 0 + 9/2*c**2 + 5/2*c**4 + o*c**3 + c = 0. What is c?
-1, -2/5, 0
Let p(h) = h**5 - 3*h**3 + 2*h**2 + 2*h. Let y(q) = 2*q**5 - 7*q**3 + 5*q**2 + 5*q. Let s(v) = -5*p(v) + 2*y(v). Suppose s(t) = 0. What is t?
-1, 0, 1
Factor 60*y**2 - 32 + 93*y**3 - 72*y + 32 + 12*y**4 - 29*y**3.
4*y*(y + 3)**2*(3*y - 2)
Let o(j) be the first derivative of 3/22*j**4 - 3/11*j**2 - 4/11*j - 4 + 2/55*j**5 + 2/33*j**3. What is d in o(d) = 0?
-2, -1, 1
Factor -22*l**3 - 67*l + 272*l**2 + 4*l**4 - 109*l - 6*l**3 - 92*l**3 + 20*l**3.
4*l*(l - 22)*(l - 2)*(l - 1)
Let w = -84 - -126. Let o be 18*4/w + (-2)/(-7). Solve -3/5*b**o - 3/5*b + 0 = 0.
-1, 0
Let u(p) = -2*p**2 - 5*p + 7. Let i(q) = 5*q**2 + 9*q - 15. Let z(f) = -3*i(f) - 7*u(f). Let g be z(6). Factor -g*k + 4*k**3 - 4*k**2 + 0*k + 4 + 4*k.
4*(k - 1)**2*(k + 1)
Let p(d) be the first derivative of 8*d**5/5 - 45*d**4/2 + 22*d**3/3 + 43. Factor p(o).
2*o**2*(o - 11)*(4*o - 1)
Let j(z) be the second derivative of 2*z**7/21 + 2*z**6/5 - 3*z**5/5 - 7*z**4/3 + 4*z**3 + 128*z. Solve j(i) = 0.
-3, -2, 0, 1
Determine o so that -o**4 - o**3 - 8*o + 24*o**2 + 22*o**2 - 36*o**2 = 0.
-4, 0, 1, 2
Factor 6451*u**5 + 0 - 42 + 146*u - 188*u**2 + 108*u**3 - 6449*u**5 - 26*u**4.
2*(u - 7)*(u - 3)*(u - 1)**3
Let w(b) = 3*b**2 + 131*b - 1682. Let s(j) = j**2 + 3*j. Let o(h) = -5*s(h) + w(h). Factor o(k).
-2*(k - 29)**2
Let u(l) = -l**2 + 2*l + 2. Let f be u(0). Suppose -7*i**2 + 3*i**3 + i**5 + 2*i**2 + 3*i**4 - 4*i**5 + f*i**2 = 0. What is i?
-1, 0, 1
Let p(d) be the third derivative of -d**9/68040 - d**8/30240 - 11*d**5/60 - 3*d**2. Let z(x) be the third derivative of p(x). Find v such that z(v) = 0.
-3/4, 0
What is n in -22/3*n - 2/9*n**3 - 32/9 - 4*n**2 = 0?
-16, -1
Suppose -21 = -5294*w + 5289*w - 3*u, w - u + 7 = 0. Factor -2/15*q**5 + 0*q**3 + 0*q**4 + w*q**2 + 0 + 0*q.
-2*q**5/15
Let j = -74 + 104. Let c = j + -88/3. Factor c + 2*g + 4/3*g**2.
2*(g + 1)*(2*g + 1)/3
Determine c, given that 0 + 0*c - 1/5*c**5 + 2*c**3 + 0*c**2 + 9/5*c**4 = 0.
-1, 0, 10
Factor 12/19 - 2/19*u**4 + 30/19*u**2 - 34/19*u - 6/19*u**3.
-2*(u - 1)**3*(u + 6)/19
Let q(p) be the first derivative of -6 + 2/27*p**3 + 4/3*p**2 + 8*p. Find g such that q(g) = 0.
-6
Solve -9*a**5 + 6*a**5 + 6*a**3 - 12*a**2 + 12*a**4 + 7*a**5 - 2*a**3 - 8*a**5 = 0.
-1, 0, 1, 3
Let h be (1026/(-567))/(2 - 5/3) + 6. Let -h*n - 2/7*n**2 - 2/7 = 0. What is n?
-1
Let c(k) be the third derivative of 1/30*k**6 + 0 - 1/126*k**7 - 1/12*k**4 + 0*k**3 - 2*k**2 + 11/180*k**5 + 0*k. Find x, given that c(x) = 0.
-1, 0, 2/5, 3
Determine s so that 3/4*s**2 + 99/4 + 21/2*s = 0.
-11, -3
Let n(t) be the first derivative of 5*t**6/6 - 3*t**5 - 25*t**4/2 - 10*t**3/3 + 45*t**2/2 + 25*t - 360. Solve n(f) = 0 for f.
-1, 1, 5
Let r be 3*(1 - 0) - 0 - -1. Let 3*f + 2*f**2 + 50*f**3 - 17*f + 18*f**4 - 8*f**3 - 4*f + r = 0. Calculate f.
-2, -1, 1/3
Let k(r) = 514*r + 6170. Let s be k(-12). Solve 1/5 + 0*g**s + 1/10*g**3 - 3/10*g = 0.
-2, 1
Let i(r) be the first derivative of -5*r**4 - 15*r**3 - 15*r**2 - 5*r - 249. Factor i(b).
-5*(b + 1)**2*(4*b + 1)
Let u(h) be the second derivative of h**7/63 + 22*h**6/135 + 19*h**5/45 + 2*h**4/9 - 17*h**3/27 - 10*h**2/9 + 2*h + 30. Find f, given that u(f) = 0.
-5, -1, 2/3
Let p be (42/(-7))/(-12)*(72 - -2). Solve 18*u**2 - 3*u**3 - 4*u**3 + p*u**2 + 2*u**3 = 0.
0, 11
Determine z so that 5*z + 6*z**2 + 3*z**3 - 225 + 445 - 220 - 2*z = 0.
-1, 0
Let c be (-6)/70 - (-25)/175. Let s(t) be the first derivative of c*t**5 + 5 + 8/7*t**2 - 8/7*t - 1/7*t**4 - 2/7*t**3. Factor s(o).
2*(o - 2)*(o - 1)**2*(o + 2)/7
Let q = -10 + 7. Let c be -4*((-38)/4 - q). Factor c*b + 0*b**3 - 24*b - 2*b**3.
-2*b*(b - 1)*(b + 1)
Suppose -116 = -8*h + 52. What is z in -23 - 4*z**3 - 4*z**2 - h + 48 + 4*z = 0?
-1, 1
Let v(c) be the first derivative of -c**5/100 + c**4/30 - c**3/30 + 3*c - 12. Let i(b) be the first derivative of v(b). Factor i(w).
-w*(w - 1)**2/5
Let d(m) be the third derivative of 12*m**2 - 1/150*m**6 - 1/1050*m**7 - 1/30*m**4 - 1/30*m**3 - 1/50*m**5 + 0*m + 0. Factor d(u).
-(u + 1)**4/5
Let l = 10 - 8. Suppose -l*c + 5*m - 18 = 0, -13 = -c - 3*m - 0*m. What is w in c + 3*w + 41*w**3 + 3*w**2 - 3*w**4 - 44*w**3 - 1 = 0?
-1, 0, 1
Let j be 2/(-60) - (5 - 462/90). Let y(p) be the first derivative of 2/25*p**5 - 1/30*p**6 + 0*p + j*p**2 + 0*p**4 - 2/15*p**3 - 8. Factor y(k).
-k*(k - 1)**3*(k + 1)/5
Let j(l) be the second derivative of 0 + 3/80*l**5 + 3/4*l**2 - 3/8*l**3 + 0*l**4 + 10*l. Factor j(x).
3*(x - 1)**2*(x + 2)/4
Let l(y) be the first derivative of y**6/180 - y**4/12 - 2*y**3/9 + 21*y**2/2 + 10. Let t(r) be the second derivative of l(r). Determine d, given that t(d) = 0.
-1, 2
Factor 0 - 25/3*m**4 + 40/3*m - 10*m**3 + 20/3*m**2 - 5/3*m**5.
-5*m*(m - 1)*(m + 2)**3/3
Let q(t) be the first derivative of t**6/24 + t**5/4 - 5*t**4/24 - 5*t**3/2 - 13*t**2/2 - 12. Let m(l) be the second derivative of q(l). Factor m(c).
5*(c - 1)*(c + 1)*(c + 3)
Let l(f) = 27*f - 725. Let y be l(27). Let b(n) be the second derivative of -1/11*n**y + 0 + 1/110*n**5 + 4/11*n**3 + 7*n - 8/11*n**2. Factor b(k).
2*(k - 2)**3/11
Factor -2*s - 1/4*s**2 + 5