ive of 4/3*z**3 - 2*z + 4 + 0*z**4 + 0*z**d - 2/5*z**5. Factor c(a).
-2*(a - 1)**2*(a + 1)**2
Let -y**3 + 4*y + 208 + 179 + 6*y**2 - 411 = 0. What is y?
-2, 2, 6
Let q be 2 + (-898)/510 - (-4)/6. Let j = q + -12/17. Determine r so that -1/5*r**2 + j*r**4 + 1/5*r**3 + 0 - 1/5*r = 0.
-1, 0, 1
Let c(s) be the first derivative of -7*s**4/30 - 68*s**3/45 - 8*s**2/5 - 857. Factor c(j).
-2*j*(j + 4)*(7*j + 6)/15
Let m(w) = -w**3 - w**2 + w - 1. Let g(f) = -6*f**3 - 10*f**2 + 4*f - 4. Suppose -53*o + 2 = -51*o. Let r(q) = o*g(q) - 4*m(q). Let r(y) = 0. What is y?
-3, 0
Find o such that 31*o - 2 - 72*o - o**3 + 22 + 22*o**2 = 0.
1, 20
Suppose 5*w = -3*i + 25, 4 = 4*w + 2*i - 14. Factor -27*y + 27*y - 6*y**w + 2*y**3.
2*y**2*(y - 3)
Let n(t) = 13*t**2 + 17*t - 10. Let g(s) = -69*s**2 - 87*s + 51. Let v(o) = -4*g(o) - 21*n(o). Let v(k) = 0. What is k?
1, 2
Suppose -113 = 2*o - 121. Let s(g) be the third derivative of -1/315*g**7 - g**2 + 0*g**3 - 1/90*g**5 + 0 + 1/90*g**6 + 0*g + 0*g**o. Factor s(q).
-2*q**2*(q - 1)**2/3
Let g be (((-40)/135)/8)/(((-182)/(-168))/(-13)). Suppose 0 - 4/9*c**2 - g*c = 0. What is c?
-1, 0
Factor -35/6*w**5 + 0 + 0*w + 0*w**2 - 55/2*w**3 + 200/3*w**4.
-5*w**3*(w - 11)*(7*w - 3)/6
Suppose -33 = -2*g + 5*n, -g + 0 + 19 = -3*n. Solve -3*p**4 + 28*p**3 - p**g + 33*p**2 + 36*p - 49*p**2 - 44*p**2 = 0.
0, 1, 3
Let x be (56/(-70))/(1/(-5)). Suppose -4*g + 3*u + 0*u = -6, x*u = 3*g - 1. Let c**2 - 20*c**g + 14*c**3 + 3*c**4 + 2*c**2 = 0. What is c?
0, 1
Let z(m) be the first derivative of -1/14*m**4 - 2/21*m**3 + 6 + 2/7*m + 1/7*m**2. Determine g so that z(g) = 0.
-1, 1
Let b(f) be the first derivative of 7*f**6/900 - f**5/300 - f**4/10 + 6*f**3 + 38. Let p(k) be the third derivative of b(k). Factor p(o).
2*(o - 1)*(7*o + 6)/5
Let w(t) be the third derivative of -t**6/60 - 2*t**5/3 - 37*t**4/12 - 6*t**3 - 2*t**2 + 53. Let w(k) = 0. What is k?
-18, -1
Let b(r) = -14*r. Let j be b(-1). Let w be 2/2*0 + j. Find a such that 11*a**2 - 5*a**3 + 3*a**4 - w*a**2 - 3*a + 8*a**3 = 0.
-1, 0, 1
Let g(h) be the second derivative of -42 - 2*h + 11/8*h**3 - 13/40*h**6 - 21/80*h**5 - 1/14*h**7 + 11/16*h**4 + 3/4*h**2. Find l, given that g(l) = 0.
-2, -1, -1/4, 1
Let l(o) be the second derivative of 0*o**4 - 1/80*o**5 - 1/16*o**2 + 1/240*o**6 + 0 + 1/24*o**3 + 11*o. Factor l(f).
(f - 1)**3*(f + 1)/8
Let m(r) = -7*r**5 - 10*r**4 + 20*r**3 - 44*r**2 + 31*r - 26. Let d(l) = -l**5 - l**4 - l**3 - 3. Let w(b) = -6*d(b) + m(b). Suppose w(q) = 0. Calculate q.
-8, 1
Let x = 531335/9 + -59037. Factor -2/9*a - 4/9*a**2 + x.
-2*(a + 1)*(2*a - 1)/9
Let b(i) = -6*i**2 - 8*i - 4. Let x be ((-18)/8 - (-3)/(-6))*-4. Let g(d) = -17*d**2 - 23*d - 11. Let y(a) = x*b(a) - 4*g(a). Factor y(k).
2*k*(k + 2)
Suppose -3*p - 3 = 0, 4*p + 8 = 3*q + 2*p. Let n be (-136)/(-312) + 1/3. Solve -12/13*r**q + 8/13*r + 6/13 - n*r**4 - 24/13*r**3 = 0 for r.
-1, 3/5
Let p(x) be the first derivative of -15*x**4/8 + 37*x**3/18 + x**2 - 2*x/3 + 39. Factor p(r).
-(r - 1)*(5*r + 2)*(9*r - 2)/6
Let q(b) be the third derivative of -b**5/120 - 83*b**4/24 - 6889*b**3/12 - 2*b**2 - 44. Factor q(m).
-(m + 83)**2/2
Factor -15/4 + 3*f**2 - 3/4*f.
3*(f + 1)*(4*f - 5)/4
Let k(z) be the second derivative of 2*z**7/63 - 19*z**5/60 - z**4/36 + 2*z**3/3 + 2*z**2/3 - 79*z. Determine m so that k(m) = 0.
-2, -1/2, 1, 2
Factor -3/2*l**3 + 189/2*l - 588 + 9*l**2.
-3*(l - 7)**2*(l + 8)/2
Let a(q) be the first derivative of -1/3*q**2 + 0*q - 1/45*q**5 + 44 - 11/27*q**3 - 1/6*q**4. Factor a(f).
-f*(f + 1)*(f + 2)*(f + 3)/9
Let m(n) be the third derivative of -n**6/96 - n**5/16 - 287*n**2 - 1. Factor m(g).
-5*g**2*(g + 3)/4
Let u(t) be the first derivative of -25*t**5/6 + 2175*t**4/8 - 12615*t**3/2 + 219501*t**2/4 + 795. Let u(n) = 0. Calculate n.
0, 87/5
Let r(l) = 5*l**2 - l + 2. Let g(y) = -y - 6. Let f be g(-4). Let k(h) = 26*h**2 - 4*h + 11. Let t(w) = f*k(w) + 11*r(w). Factor t(m).
3*m*(m - 1)
Suppose 13/2 - 1/2*c**2 + 6*c = 0. Calculate c.
-1, 13
Let b(z) be the first derivative of 1 + 0*z**2 + 8/7*z - 2/21*z**3. Let b(y) = 0. What is y?
-2, 2
Suppose -2*o + 51 = -3*k - 35, 3*o = -2*k + 116. Solve -o + 380*d - 801*d**2 + 104*d**2 - 437*d**2 + 44*d**2 + 1245*d**3 - 495*d**4 = 0 for d.
2/11, 2/3, 1
Let r be (-7)/(35/(-15)) - -3. Factor 8*u - 4 - 12*u**2 + 2*u**2 + r*u**2.
-4*(u - 1)**2
Let d(c) be the second derivative of -12*c - 2*c**2 + 12*c**2 + c**2 + 3*c**4 - 9*c**2 + 4*c**3. Factor d(b).
4*(3*b + 1)**2
Let z = 25 - 28. Let o be 2/z + 48/24. Solve 2/3*p - 2/3*p**5 - 4/3*p**2 + 0 + 0*p**3 + o*p**4 = 0.
-1, 0, 1
Let m(w) be the first derivative of -w**5/150 - w**4/15 - 4*w**3/15 - w**2/2 - 14. Let g(v) be the second derivative of m(v). Factor g(j).
-2*(j + 2)**2/5
Let x(q) be the first derivative of 0*q + 1/4*q**2 - 1/3*q**3 + 4 + 1/8*q**4. Determine y, given that x(y) = 0.
0, 1
Let y = -94 + 94. Suppose -6 = -5*g + 4*z, y = 2*g + z + 14 - 19. Solve -2/13 + 0*a + 2/13*a**g = 0 for a.
-1, 1
Let m(i) be the second derivative of -i**7/14 + 2*i**6/5 + 3*i**5/20 - i**4 - 41*i + 1. Find o such that m(o) = 0.
-1, 0, 1, 4
Let v(s) be the second derivative of 5*s**7/42 + 11*s**6 + 1451*s**5/4 + 26455*s**4/6 - 1210*s**3 - 26620*s**2 - 3*s + 40. Factor v(d).
5*(d - 1)*(d + 1)*(d + 22)**3
Let j(g) be the third derivative of g**6/420 + 11*g**5/70 + 15*g**4/4 + 225*g**3/7 - 46*g**2 - 2. Solve j(i) = 0 for i.
-15, -3
Suppose 5*r - r = -r. Suppose -i - 3*i + r*i = 0. Find y such that -4/3*y**4 - 2/3*y**3 + 0 + 0*y + i*y**2 - 2/3*y**5 = 0.
-1, 0
Let -12 - 2/7*d**2 - 46/7*d = 0. Calculate d.
-21, -2
Let x(g) be the third derivative of g**2 + 0*g**3 + 1/168*g**8 + 0*g + 1/30*g**5 + 0*g**4 + 1/20*g**6 + 1/35*g**7 + 0. Determine j, given that x(j) = 0.
-1, 0
Let u be ((-273)/(-26) - 13) + 8/2. Let c be 46/40 - 10/25. Factor u + c*b**2 - 9/4*b.
3*(b - 2)*(b - 1)/4
Let y be (-1*(-1 + 0))/(73/146). Let k(d) be the first derivative of -1 + 0*d + 0*d**y + 1/22*d**4 + 2/33*d**3. Find w such that k(w) = 0.
-1, 0
Let v(d) = -20*d + 25 + 3*d**3 - 9 - 4*d**3 - 22*d**2 + 5. Let u be v(-21). Find t such that -2/3*t + u - 4/3*t**4 + 0*t**3 + 4/3*t**2 + 2/3*t**5 = 0.
-1, 0, 1
Let t = 22/2077 - 1333544/10385. Let u = 130 + t. What is f in u*f**3 - 16/5*f**2 + 4/5*f**4 - 32/5*f + 0 = 0?
-2, 0, 2
Let l(z) be the first derivative of z**7/420 - z**6/30 + 13*z**5/120 - z**4/8 + z**2/2 + 7. Let w(h) be the second derivative of l(h). Factor w(b).
b*(b - 6)*(b - 1)**2/2
Let 108*n**3 - 6*n**2 - 105*n**3 - 12*n + 15*n**2 + 26 - 26 = 0. Calculate n.
-4, 0, 1
Suppose -48*m - 14*m = 25*m. Factor m*b**2 - 16/5*b**3 + 48/5*b**4 + 0 - 36/5*b**5 + 0*b.
-4*b**3*(3*b - 2)**2/5
Let z(c) be the first derivative of 1/240*c**5 + 1/24*c**3 + 1/2*c**2 + 0*c - 5 - 1/48*c**4. Let h(m) be the second derivative of z(m). Solve h(f) = 0.
1
Let 4 - 12 + 100*a + 15 - 7 - 5*a**2 = 0. Calculate a.
0, 20
Let l(s) be the third derivative of -15/8*s**4 - 5/3*s**6 - 8/21*s**7 - 11/4*s**5 + 17*s**2 + 0*s**3 + 0*s + 0. Factor l(c).
-5*c*(c + 1)*(4*c + 3)**2
Let s(z) be the third derivative of z**5/60 + z**4/2 + 37*z**3/6 - 31*z**2. Let t be s(-7). Factor 8/5*h**t + 0 - 4/5*h**3 + 0*h.
-4*h**2*(h - 2)/5
Determine s so that -19/4*s + 7/4*s**3 + 3/4*s**2 - 7/2 - 1/4*s**4 = 0.
-1, 2, 7
Let v = 3364 + -3360. Factor -6/7*a**2 + 0*a**3 + 1/7*a**v + 8/7*a - 3/7.
(a - 1)**3*(a + 3)/7
Let v(z) = z**2 - 60*z + 677. Let u be v(45). Factor 0 - 3/5*k**3 + 0*k**u - 3/5*k**4 + 0*k.
-3*k**3*(k + 1)/5
Suppose 9 = -5*s + 2*i - 36, -s - 9 = -2*i. Let t be (-153)/(-81) - 1/s. Let 8/7 + 32/7*n + t*n**2 = 0. Calculate n.
-2, -2/7
Let n(k) be the second derivative of -12*k + 0 + 3/11*k**2 + 2/33*k**3 - 1/66*k**4. Factor n(d).
-2*(d - 3)*(d + 1)/11
Let v(z) be the third derivative of 2187*z**6/80 + 891*z**5/20 + 57*z**4/4 + 2*z**3 - 2*z**2 - 187. Suppose v(d) = 0. What is d?
-2/3, -2/27
Let n(g) = 5*g**2 + 9*g + 4. Let b(h) = h**2 + 2*h + 1. Let r(a) = -3*b(a) + n(a). Factor r(d).
(d + 1)*(2*d + 1)
Suppose 10*w - 3*w = 17*w. Suppose -9/2*z**2 + w - 3/2*z**3 + 0*z = 0. What is z?
-3, 0
Suppose 7*m - 4*m - 4*b - 25 = 0, 2*b + 17 = 3*m. Solve 3 - 17*u + 183*u**m + 420*u**4 + 5*u - 3 - 24*u**2 = 0 for u.
-2/5, -2/7, 0, 1/4
Factor 1/4*a**2 - 15/4 + 7/2*a.
(a - 1)*(a + 15)/4
Factor 0 - 2/9*v**4 + 0*v + 4*v*