) be the first derivative of i(n). Factor d(z).
-2*z**3
Let a(x) be the third derivative of 1/10*x**6 + 0*x**3 + 0*x - 1/4*x**5 + 5*x**2 + 1/4*x**4 - 1/70*x**7 + 0. Let a(g) = 0. Calculate g.
0, 1, 2
Find z, given that z**4 + 7*z**3 - 10*z**3 + z**4 + 2*z - 2*z**2 + z**3 = 0.
-1, 0, 1
Determine r so that -16/9*r**3 - 8/9*r**5 + 4/9*r**2 + 0*r + 0 + 20/9*r**4 = 0.
0, 1/2, 1
Let v = -1/15 - -47/30. Let y(m) be the third derivative of 33/16*m**5 + 0 + 121/160*m**6 + 0*m + v*m**4 - 4*m**2 + 1/2*m**3. Factor y(g).
3*(g + 1)*(11*g + 2)**2/4
Let v(d) be the first derivative of -1/7*d**4 - 3 - 2/35*d**5 + 2/7*d + 2/7*d**2 + 0*d**3. Factor v(c).
-2*(c - 1)*(c + 1)**3/7
Let d = 2 + 3. Factor w - 2*w + 2 + 2*w**2 + d*w.
2*(w + 1)**2
Factor 25/3*n + 5/3*n**3 - 20/3*n**2 - 10/3.
5*(n - 2)*(n - 1)**2/3
Let i(b) = -b**3 + 9*b**2 - 9*b + 11. Let w be i(8). Find h such that 16*h**2 + 9*h**4 + 5*h**5 - 25*h**5 + 14*h**w + 3*h**4 + 34*h**3 = 0.
-1, -2/5, 0, 2
Let y(x) be the first derivative of -x**4/22 + 2*x**3/33 + 11. Factor y(c).
-2*c**2*(c - 1)/11
Solve -4/17 - 8/17*r**3 - 26/17*r**2 - 22/17*r = 0 for r.
-2, -1, -1/4
Suppose -l = -2 - 0. Let y = 11 - 9. Find d, given that -4*d - 3*d**2 - 2 + 3*d**y - 2*d**l = 0.
-1
Suppose 5*w + 0*w + 5 = -b, 3*b + 4*w - 7 = 0. Suppose -g - b*q = -24, g - 20 = -g - 3*q. Find m such that -g*m**4 + 0 + 1/3*m + 2/3*m**2 - 11/3*m**3 = 0.
-1, -1/4, 0, 1/3
What is s in 6/5*s - 2/5*s**3 + 0*s**2 + 4/5 = 0?
-1, 2
Suppose 12 = 3*o + 3*q, 0 + 2 = q. Factor 2/7*p**o - 2/7 + 0*p.
2*(p - 1)*(p + 1)/7
Let s be (-1 + 2)*(-2 + -10). Let r be 0/((-4)/(s/9)). Solve 0*i + r*i**3 - 2/7*i**5 - 2/7*i**4 + 0*i**2 + 0 = 0 for i.
-1, 0
Let o be 2/(-12) + (-24)/(-36). Let l(d) be the first derivative of 0*d + o*d**4 + 0*d**2 + 2/3*d**3 - 1. Factor l(w).
2*w**2*(w + 1)
Let y(d) be the third derivative of -d**8/11760 + d**7/8820 - d**4/8 + d**2. Let m(z) be the second derivative of y(z). Suppose m(q) = 0. What is q?
0, 1/2
Let j(u) be the third derivative of -u**5/270 + u**4/108 + 2*u**3/27 - 36*u**2. Factor j(m).
-2*(m - 2)*(m + 1)/9
Let w be ((-21)/(-35))/(1/15). Determine x, given that -x - 15*x**2 + x**5 + 19*x - 171*x**4 - 61*x**5 + w*x - 147*x**3 + 6 = 0.
-1, -1/4, 2/5
Factor -j**2 - 7719 + 10*j + 7694 + 0*j**2.
-(j - 5)**2
Let k(m) be the first derivative of -m**7/168 + m**6/60 - m**4/24 + m**3/24 + m + 2. Let c(x) be the first derivative of k(x). Factor c(r).
-r*(r - 1)**3*(r + 1)/4
Let f(r) be the first derivative of -2*r**3/3 - 2*r**2 - 2*r + 10. Factor f(q).
-2*(q + 1)**2
Let b(r) be the first derivative of 0*r - 1/9*r**2 - 2 + 2/27*r**3. Find p, given that b(p) = 0.
0, 1
Let d be 3*-2*(-3)/6. Suppose 21*m**2 + 3*m**d - 5*m**2 - 10*m**3 - 11*m + 2 = 0. Calculate m.
2/7, 1
Let z(p) be the second derivative of 2*p**6/5 + 3*p**5/10 - 7*p**4/16 + p**3/8 + 23*p. Factor z(q).
3*q*(q + 1)*(4*q - 1)**2/4
Suppose -6*y + 2*y = 5*u - 5, 3*y = 3*u - 30. Let 4/3*r**4 + 0*r - r**u - 2/3*r**2 + 1/3*r**3 + 0 = 0. What is r?
-2/3, 0, 1
Let m(b) = 3*b**2 + 5*b - 11. Let z(q) = -7*q**2 - 2*q - 8*q**2 + 4 + 13*q**2 + q**2. Let i(r) = 4*m(r) + 11*z(r). Determine d so that i(d) = 0.
0, 2
Let k = 0 - -1/2. Let t(h) be the first derivative of -1/6*h**3 + k*h - 1/8*h**4 + 1/4*h**2 - 2. What is p in t(p) = 0?
-1, 1
Let 48/5*y - 8*y**3 + 16/5 + 16/5*y**5 + 36/5*y**4 - 76/5*y**2 = 0. What is y?
-2, -1/4, 1
Let w(x) = -x + 12. Let s be w(10). Determine n, given that -1/4*n**3 - 1/2*n**s + 1/2 + 1/4*n = 0.
-2, -1, 1
Let h(b) = 166*b**3 + 76*b**2 + 4*b - 4. Let i(k) = -167*k**3 - 77*k**2 - 3*k + 5. Let y(f) = -5*h(f) - 4*i(f). Determine n so that y(n) = 0.
-2/9, 0
Let j(b) be the first derivative of b**6/480 - b**5/240 + 5*b**3/3 + 4. Let g(t) be the third derivative of j(t). Factor g(o).
o*(3*o - 2)/4
Let w(r) be the third derivative of -1/30*r**5 + 0*r**3 + 1/12*r**4 + 0*r - 2*r**2 + 0. Solve w(o) = 0.
0, 1
Find j such that 0*j**2 + 1/4*j**4 + 0 + 0*j + 1/2*j**3 = 0.
-2, 0
Let i(k) be the second derivative of 2*k**7/21 - k**5/5 - 8*k. Find x, given that i(x) = 0.
-1, 0, 1
Factor 4*o**2 - 56*o**3 - 12*o**2 - 100*o**5 + 2*o**4 - 132*o**4.
-2*o**2*(2*o + 1)*(5*o + 2)**2
Let u be -1*3 - (3 + -8). Suppose -4*t**u - 3*t + 2*t + 3*t**2 = 0. What is t?
-1, 0
Suppose -3*c - 4*j + j = 0, c = 3*j + 8. Solve 16/11 + 24/11*i + 2/11*i**3 + 12/11*i**c = 0.
-2
Let v(k) be the first derivative of k**6/8 - 9*k**5/10 + 21*k**4/8 - 4*k**3 + 27*k**2/8 - 3*k/2 - 5. Let v(n) = 0. What is n?
1, 2
Let l(m) = -3*m**2 + m + 4. Let t be (-4)/(-10) - (-184)/40. Let u(z) = -2*z**2 + 3. Let c(d) = t*l(d) - 6*u(d). Let c(b) = 0. What is b?
-1/3, 2
Factor 3*g**2 - 5*g**2 + 5*g**2 + 9*g.
3*g*(g + 3)
Suppose -18 = 185*r - 194*r. Find j such that -8/11 + 32/11*j + 18/11*j**r = 0.
-2, 2/9
Let k be (-6)/15 + (-47)/(-5). Factor -h**2 - 2*h**3 + 2*h - 10*h**4 + k*h**4 - h**2 + 3*h**2.
-h*(h - 1)*(h + 1)*(h + 2)
Let r = 44694 + -401488/9. Let m = -84 + r. Determine g so that 2/9*g + 2/9 - 2/9*g**3 - m*g**2 = 0.
-1, 1
Let f be (-4)/(-12)*27/(-3). Let y(o) = -2*o**2 - 2*o + 3. Let b(l) = 5*l**2 + 6*l - 8. Let n(i) = f*b(i) - 8*y(i). Factor n(w).
w*(w - 2)
Let f be (1 - (-10)/(-12))*21/14. Let w(v) be the first derivative of 1/2*v - f*v**4 + 1 - 1/10*v**5 + 0*v**3 + 1/2*v**2. Solve w(c) = 0.
-1, 1
Let x = 1 + 2. Let c be 50 - 0 - (x - 3). Let 82*l**3 + 48*l**2 - l + c*l**4 + 9*l + 8*l**3 = 0. Calculate l.
-1, -2/5, 0
Let p = 3 - 6. Let z be 6/p - (0 + -4). Determine k so that 2*k**4 - 4 - 5*k + 0*k**4 + 3*k**4 - k**z - 12*k**3 + 17*k = 0.
-1, 2/5, 1, 2
Let l(b) be the third derivative of b**6/120 - b**5/15 - 11*b**4/24 - b**3 + 14*b**2. Let l(w) = 0. Calculate w.
-1, 6
Let k(m) be the second derivative of -m**4/84 - 5*m**3/42 - 3*m**2/7 + 6*m. What is r in k(r) = 0?
-3, -2
Suppose -3*m - i = -2*i - 79, 2*m - 50 = 2*i. Let s = 14 - -9. Factor 2*d + 6*d**5 + 18*d**2 + m*d**3 + d**5 + s*d**4 - 5*d**2.
d*(d + 1)**3*(7*d + 2)
Factor -5/3*g**2 + 0 - 100/3*g.
-5*g*(g + 20)/3
Let k be (-3)/6*(6 + -6). Let r(z) be the third derivative of 1/36*z**4 + 0*z**3 + 0 + k*z + 1/60*z**5 + z**2. Suppose r(u) = 0. What is u?
-2/3, 0
Let i(h) be the third derivative of -1/20*h**6 - 13/60*h**5 + 2*h**2 - 2/3*h**3 + 0 + 0*h - 1/2*h**4 - 1/210*h**7. Factor i(f).
-(f + 1)**2*(f + 2)**2
Let q be ((-13)/3)/(110/(-15)). Let a = q + -1/11. Factor -n**3 + 0*n**4 + a*n**5 + 1/2*n + 0 + 0*n**2.
n*(n - 1)**2*(n + 1)**2/2
Let k(c) be the third derivative of c**7/126 + c**6/36 - 5*c**2. Factor k(u).
5*u**3*(u + 2)/3
Let k(z) = 14*z - 32. Let s(h) = -5*h + 11. Let p(v) = -4*k(v) - 11*s(v). Let x be p(5). Determine a so that 2*a + 2*a**3 - 2*a - 2*a**x = 0.
0, 1
Let c(w) = 14*w**2 - 11*w + 5. Let z(u) = 5*u**2 - 4*u + 2. Let b(a) = 3*c(a) - 8*z(a). Find j such that b(j) = 0.
-1/2, 1
Factor 0*j**2 - 97*j + 97*j + 4*j**2 - 6*j**3 + 2*j**5.
2*j**2*(j - 1)**2*(j + 2)
Suppose -4*q + 9*q + 8*q = 0. Factor 0*t - 1/3*t**2 + 1/6*t**4 + 1/6 + q*t**3.
(t - 1)**2*(t + 1)**2/6
Let y(h) = h**2 + 1. Let t(c) = 4*c**2 - 2*c + 2. Let z(j) = -t(j) + 3*y(j). Let w(g) = 4*g**2 - 9*g - 4. Let n(k) = 2*w(k) + 9*z(k). Let n(p) = 0. Calculate p.
-1, 1
Suppose 837 = 2*c - 149. Factor -64*w + 370*w**2 + 245*w**2 - 87*w**2 + 560*w**3 - 1957*w**4 - c*w**4 - 32.
-2*(5*w - 2)**2*(7*w + 2)**2
Let j be (-4)/(-12) + 0 + 0 + 0. Find s, given that -4/3*s + 4/3 + j*s**2 = 0.
2
Let i(a) be the second derivative of a**6/6 - a**5/4 - 25*a**4/12 - 5*a**3/2 - 26*a + 1. Factor i(b).
5*b*(b - 3)*(b + 1)**2
Find s such that -2*s**3 - 18*s**2 + 11*s**2 + 11*s**2 = 0.
0, 2
Factor 48*i - 27*i**2 + 7/2*i**3 + 16.
(i - 4)**2*(7*i + 2)/2
Let p(x) = x**3 - 7*x**2 + 5*x + 6. Let w be p(6). Suppose 5*c - 2*c - 24 = w. Solve -19/2*r**2 - c*r**4 - 25/2*r**3 - 1/2 - 7/2*r - 2*r**5 = 0.
-1, -1/2
Factor 0*a + 2/5*a**3 + 0 - 4/5*a**2.
2*a**2*(a - 2)/5
Let x = -27/5 - -6. Factor x*r - 1/5*r**2 - 2/5.
-(r - 2)*(r - 1)/5
Let m(v) be the first derivative of -v**6/2 - 9*v**5/5 - 39*v**4/16 - 3*v**3/2 - 3*v**2/8 + 20. Solve m(s) = 0.
-1, -1/2, 0
Suppose 2*v - 3*j - 2 = 0, -4*v = -8*v - 2*j + 4. Factor -2*k + 5*k + v + 3*k**2 + 5 - 6*k**2.
-3*(k - 2)*(k + 1)
Find c, given that -2/3*c**2 + 0 + 0*c + 2/3*c**3 = 0.
0, 1
Let i = 4 + -3. Suppose -i + 4 = t. Factor -10*x**2 - 3*x**t + 5*x**3 + 19*x - 8 - 3*x.
2*(x