z) be the second derivative of 3/20*z**5 - 1/10*z**6 + 9*z + 0 - 1/2*z**l + 0*z**2 + 1/4*z**4. Factor r(a).
-3*a*(a - 1)**2*(a + 1)
Suppose -79*y + 113 = -124. Let 0*d**2 + 0*d + 1/3*d**y + 0 = 0. Calculate d.
0
Suppose -3*g = 4*d - 3, 5*d - 18*g = -20*g + 2. Let p(n) be the first derivative of d*n - 3*n**3 - 5 - 3/2*n**4 + 0*n**2 + 3/5*n**5. Let p(r) = 0. Calculate r.
-1, 0, 3
Suppose -137*y + 211 = -63. Factor -4/15 - 2/5*o - 2/15*o**y.
-2*(o + 1)*(o + 2)/15
Let 12/5 + 1/5*h - 24/5*h**2 + 12/5*h**4 + 1/5*h**5 - 2/5*h**3 = 0. What is h?
-12, -1, 1
Factor -158*o**2 - 5808 + 115*o**3 - 233*o**3 - 6072*o + 115*o**3 - 109*o**2.
-3*(o + 1)*(o + 44)**2
Suppose 5*p + 2*b - 21 = -17, 5*p - 3*b = -6. Let p - 5/4*t**3 - t**4 + 0*t - 1/2*t**2 - 1/4*t**5 = 0. Calculate t.
-2, -1, 0
Let r(l) be the third derivative of 12*l**2 + 0*l**5 + 0*l**4 - 1/70*l**7 + 0 - 1/120*l**6 + 0*l**3 + 1/84*l**8 + 0*l. Factor r(h).
h**3*(h - 1)*(4*h + 1)
Let z(m) be the second derivative of m**6/15 - 12*m**5/5 + 30*m**4 - 400*m**3/3 - 1035*m. Factor z(v).
2*v*(v - 10)**2*(v - 4)
Let d be ((-324)/(-216))/((0 - -3)/6). Factor -3 - 15*l**2 + 9/2*l**d + 27/2*l.
3*(l - 2)*(l - 1)*(3*l - 1)/2
Let i = 66/695 + 237/139. Factor 1/5*r**2 + i + 6/5*r.
(r + 3)**2/5
Let b(o) be the first derivative of o**6/10 + 6*o**5/5 + 81*o**4/20 + 18*o**3/5 + 4. Suppose b(m) = 0. What is m?
-6, -3, -1, 0
Suppose -5*k + 38 = 3*t + 53, -4*t - 3 = k. Let a(i) be the third derivative of 1/120*i**5 - 4*i**2 + 0*i - 1/3*i**3 + t + 1/240*i**6 - 1/12*i**4. Factor a(h).
(h - 2)*(h + 1)*(h + 2)/2
Let o = -200 + 203. Let 0*b + 1/8*b**o - 1/8*b**2 + 0 = 0. Calculate b.
0, 1
Let d(k) be the third derivative of -k**6/24 + k**5/4 + 10*k**4/3 + 10*k**3 - 8*k**2 + 28. Factor d(w).
-5*(w - 6)*(w + 1)*(w + 2)
Suppose -3*n + 10 = 5*m, -4*n + 5*m = -9 + 19. Factor 0*z - 21/4*z**4 - 15/4*z**3 - 3/4*z**2 + n - 9/4*z**5.
-3*z**2*(z + 1)**2*(3*z + 1)/4
Suppose 0 = -7*m + 2*m + 25. Suppose 4*t + 3 = m*t. Let 0*v**3 + 4*v**t - 2*v - v + 3 - 3*v**2 - v**3 = 0. What is v?
-1, 1
Let l = 90 - 95. Let f(j) = -5*j**4 - 8*j**3 + 3*j**2 + 8*j. Let a(n) = 10*n**4 + 15*n**3 - 5*n**2 - 15*n. Let x(w) = l*f(w) - 2*a(w). Factor x(s).
5*s*(s - 1)*(s + 1)*(s + 2)
Let z(r) be the third derivative of -5*r**8/224 + 103*r**7/840 - 7*r**6/40 - 17*r**5/240 + r**4/4 + r**3/6 + 7*r**2. Determine f, given that z(f) = 0.
-2/5, -1/6, 1, 2
Let v(g) = 2*g**2 - 20*g. Let a be v(10). Let n(i) be the third derivative of -1/60*i**5 + 0*i - 1/36*i**4 + 0 + 2*i**2 + a*i**3. Factor n(d).
-d*(3*d + 2)/3
Let b be (-8)/(-20) - 18/(-5). Factor 2*y**4 - 16*y**2 + 22*y - 30*y + 4*y**b - 2*y**3.
2*y*(y - 2)*(y + 1)*(3*y + 2)
Find i, given that -28*i + 5*i**2 + 20 + 5 + 15 - i**2 = 0.
2, 5
Let i(v) be the first derivative of 7*v**6/540 + v**5/90 - 5*v**3 - 18. Let j(h) be the third derivative of i(h). Find a, given that j(a) = 0.
-2/7, 0
Let d(q) = -3*q - 7. Let y be d(-3). Let 7*w**2 - 9 + 3*w**2 + 33*w + y*w**2 + 0*w**2 = 0. Calculate w.
-3, 1/4
Suppose -2*f - 41 = -5*f + s, -20 = 4*s. Factor -17 + 31 + f*z - 23 - 3*z**2.
-3*(z - 3)*(z - 1)
Suppose 2*h = 4 - 12. Let x be 1 - (20/7 + -1) - h. Factor -2*a**4 + 0 - x*a**2 + 32/7*a**3 + 4/7*a.
-2*a*(a - 1)**2*(7*a - 2)/7
Solve -1/3*z + 0 + 1/3*z**2 = 0.
0, 1
Let c = 36 + -21. Factor -15*l**2 - 5*l**3 + 14 + c - 15*l - 34.
-5*(l + 1)**3
Let p be 4/(-42)*(-1 + -20). Factor -2/15*n**p + 2/15*n + 4/5.
-2*(n - 3)*(n + 2)/15
Let l = -5017/3 - -1674. What is a in l*a**2 + 80/3 - 40/3*a = 0?
4
Let n(y) be the third derivative of y**5/30 + 5*y**4/6 + 25*y**3/3 + y**2 + 100*y. Let n(i) = 0. Calculate i.
-5
Let r(s) be the first derivative of s**7/1260 + s**6/180 + s**5/90 - 14*s**3/3 + 13. Let a(i) be the third derivative of r(i). Suppose a(v) = 0. What is v?
-2, -1, 0
Factor 2/21*w**3 + 226/21*w**2 + 0*w + 0.
2*w**2*(w + 113)/21
Let f(k) be the first derivative of -4/3*k**3 + 0*k - 2/3*k**6 + 4/5*k**5 + 15 + 0*k**2 + k**4. Suppose f(z) = 0. Calculate z.
-1, 0, 1
Let n(a) be the third derivative of -a**5/80 - 7*a**4/48 + 5*a**3/24 + 91*a**2. Factor n(k).
-(k + 5)*(3*k - 1)/4
Let b(v) be the third derivative of 7/12*v**5 + 0*v + 23*v**2 + 0 + 10/3*v**3 + 10/3*v**4. Find a such that b(a) = 0.
-2, -2/7
Let m = 2935/3 + -978. Solve l - m*l**2 + 0 = 0 for l.
0, 3
Let q(n) be the third derivative of -25/1344*n**8 + 0*n + 0*n**5 - 1/120*n**6 + 0 + 0*n**3 - 8*n**2 + 0*n**4 + 1/42*n**7. Suppose q(g) = 0. What is g?
0, 2/5
Let d(k) be the third derivative of 1/20*k**5 + 10*k**2 - 1/70*k**7 + 1/112*k**8 + 0 + 0*k + 0*k**3 + 0*k**4 - 1/40*k**6. Find x, given that d(x) = 0.
-1, 0, 1
Factor 2/5*c**3 - 8/5*c**2 + 6/5*c + 0.
2*c*(c - 3)*(c - 1)/5
Let b(v) be the first derivative of v**5 + 5*v**4/2 - 5*v**3/3 - 5*v**2 + 70. Find d, given that b(d) = 0.
-2, -1, 0, 1
Let y(u) be the first derivative of 9/4*u**4 - 1 + 0*u - 3*u**2 + u**3 - 3/5*u**5 - 1/2*u**6. Determine o, given that y(o) = 0.
-2, -1, 0, 1
Suppose -2*w + 6 = -5*w, 4*x + 2*w - 4 = 0. Let h(v) be the first derivative of 4*v + 0*v**4 + 0*v**x - 8/3*v**3 + 5 + 4/5*v**5. Factor h(i).
4*(i - 1)**2*(i + 1)**2
Let l(k) be the first derivative of -k**4/5 - 176*k**3/5 - 11616*k**2/5 - 340736*k/5 - 588. Solve l(a) = 0.
-44
Let o be (30/(-25))/(-1 + 3/5). Let v be o - (-2 + (-3)/5). Let 100*z**4 - 95*z**3 + v*z - 8/5 + 18*z**2 = 0. What is z?
-1/4, 2/5
Let g be ((-34)/(-1156))/((-1)/(-17)). Determine h so that -g - h**2 + 9/4*h = 0.
1/4, 2
Factor 6*u + 3*u**2 + 1/2*u**3 + 4.
(u + 2)**3/2
Let g(y) = -3*y**2 - 13*y - 11. Let s be -1*(-2 - 5/(-5)). Let b(x) = x**2 + x + 1. Let q(l) = s*b(l) + g(l). Factor q(o).
-2*(o + 1)*(o + 5)
Let x(u) be the first derivative of 2/5*u - 3 + 2/15*u**3 + 2/5*u**2. Factor x(c).
2*(c + 1)**2/5
Let z = 176 - 174. Let a(y) be the second derivative of -1/30*y**3 + 0*y**z + 1/30*y**4 + 0 + y. Solve a(o) = 0.
0, 1/2
Determine o so that 0 + 0*o - o**4 + 3/4*o**3 + 1/4*o**5 + 0*o**2 = 0.
0, 1, 3
Let j(l) = 8*l - 14. Let w be j(2). Suppose 22*z**3 - 16*z + 2*z**2 - 4 + w*z**2 - 6*z**3 = 0. Calculate z.
-1, -1/4, 1
Let r(d) = -22*d**2 + 18*d - 8. Suppose -8*b - 92 = -12*b. Suppose -2 = -5*h + b. Let t(a) = -9*a**2 + 7*a - 3. Let s(x) = h*r(x) - 12*t(x). Factor s(y).
-2*(y - 2)*(y - 1)
Determine a so that 2*a**5 + 316/3*a**3 - 52/3 + 238/3*a - 100/3*a**4 - 136*a**2 = 0.
2/3, 1, 13
Let h(k) be the third derivative of -k**8/48 + 2*k**7/35 - k**6/40 - k**5/30 + 121*k**2. Suppose h(s) = 0. Calculate s.
-2/7, 0, 1
Suppose -u - 4*u + 560 = 5*b, 2*u - 548 = -5*b. Let o = b - 104. Solve 0*p**2 + 0*p - 2/3*p**3 + 1/3*p**o + 1/3*p**5 + 0 = 0.
-2, 0, 1
Suppose -p - 264 = -2*d + p, 2*p = -2*d + 276. Solve 272*x - 203*x**4 - 468*x**3 + 623*x**2 - d*x**2 - 87*x**4 - 34*x**4 + 32 = 0.
-2, -2/9, 1
Let m(w) be the first derivative of -5*w**4/24 + 20*w**3/9 - 5*w**2/3 - 40*w - 153. Factor m(c).
-5*(c - 6)*(c - 4)*(c + 2)/6
Let h = 47 + -34. Let i = h + -10. Find k, given that 6*k**2 + 2*k**2 - 2*k**2 - 10*k**5 + 6*k**4 + 24*k**i + 2*k**2 = 0.
-1, -2/5, 0, 2
Let f be (-1)/((-6)/(-10))*264/(-880). Let k(d) be the first derivative of 4 - f*d**2 + 1/10*d**5 + 0*d + 1/4*d**4 - 1/6*d**3. What is l in k(l) = 0?
-2, -1, 0, 1
Let u(x) be the first derivative of -15/2*x**2 + 12 - 10*x - 5/3*x**3. Solve u(v) = 0.
-2, -1
Let t(k) = -4*k**2 - 25*k - 1. Let d(r) = 8*r**2 + 55*r + 2. Let f(w) = -4*d(w) - 9*t(w). Solve f(s) = 0.
-1, -1/4
Let v = 20 - 32. Let u(k) = -2*k - 20. Let s be u(v). Suppose y + 16*y**5 - y**4 - 17*y**5 + 5*y**4 - 2*y**2 - 2*y**s = 0. What is y?
-1, 0, 1
Suppose -2 = 199*w - 200*w. Let b(p) be the first derivative of -3*p - 10*p**3 - 21/2*p**w + 27/2*p**4 - 6 + 81/5*p**5 - 27/2*p**6. Factor b(a).
-3*(a - 1)**2*(3*a + 1)**3
Let s be ((-3)/3 - 0)*(-480)/1680. Suppose 0*r - s*r**4 + 3/7*r**5 + 2/7*r**2 - 3/7*r**3 + 0 = 0. Calculate r.
-1, 0, 2/3, 1
Let r(t) be the second derivative of 8*t**7/7 + 4*t**6/5 - 333*t**5/20 + 10*t**4 + 41*t**3/2 + 9*t**2 + 12*t - 1. Find o, given that r(o) = 0.
-3, -1/4, 1, 2
Let l = -12 + 18. Suppose -l*q = -0*q - 18. Factor -3*t**q - 2*t**4 + t + 2 - t**3 + 3*t.
-2*(t - 1)*(t + 1)**3
Let v(u) = -5*u - 5. Suppose -5*c = 5*x + 11 + 19, -2*c - 7 = -3*x. Let k be v(x). Determine m so that -8/5*m + k - 2/5*m**2 = 0.
-4, 0
Let j be (-28)/10*-18*5/(-2). Let b =