5 + 0 - 4*t + 0*t**2 + 1/15*t**6 + 0*t**3. Solve r(c) = 0.
-1, 0
Let d(z) = -65*z**2 + 95*z - 80. Let l(x) = -8*x**2 + 12*x - 10. Let f(i) = 3*d(i) - 25*l(i). Factor f(t).
5*(t - 2)*(t - 1)
Let w(x) be the first derivative of 0*x**2 - 4/3*x + 1/6*x**4 - 1/5*x**5 + x**3 - 1. Determine u so that w(u) = 0.
-1, 2/3, 2
Let v(o) = o + 4. Let f be v(11). Suppose -f = -4*y - 7. Let 0 - 3/2*a**3 + 3*a**y - 3/2*a**4 + 0*a = 0. Calculate a.
-2, 0, 1
Let d be 3/(-6) - 35/(-10). Let w(c) be the first derivative of 3/2*c**2 - 1/3*c**d + 2 - 2*c. Factor w(t).
-(t - 2)*(t - 1)
Let w(x) be the second derivative of 0*x**2 - 3*x + 0*x**4 + 0 + 1/10*x**5 + 2/21*x**7 - 1/5*x**6 + 0*x**3. Factor w(t).
2*t**3*(t - 1)*(2*t - 1)
Let y(v) be the second derivative of 1/24*v**7 + 3*v + 0 + 1/24*v**4 + 0*v**3 - 1/10*v**6 + 3/80*v**5 + 0*v**2. Suppose y(j) = 0. Calculate j.
-2/7, 0, 1
Let f be 9/27 + (-174)/9. Let a = -15 - f. Factor 2/5*w**3 + 0 + 1/5*w**2 + 0*w + 1/5*w**a.
w**2*(w + 1)**2/5
Let b(a) be the third derivative of -a**5/390 + a**4/78 + 8*a**3/39 + 20*a**2. Factor b(y).
-2*(y - 4)*(y + 2)/13
Let h be (-5)/(-3 - (0 + -4)). Let m = h + 8. Determine i, given that -1/4*i**m + 1/4*i**2 + 0 + 0*i = 0.
0, 1
Let q be (-3)/19*100/(-54). Let d = -4/57 + q. Factor -2/9*b - d*b**2 + 0.
-2*b*(b + 1)/9
Let q be (15/(-9))/(115/(-207)). Factor 4/3 + 2*j - 2/3*j**q + 0*j**2.
-2*(j - 2)*(j + 1)**2/3
Let l(t) = -52*t - 309. Let i be l(-6). Let 3/2*v**2 + 9/4*v**5 + 3/4*v - 3/2*v**4 + 0 - i*v**3 = 0. Calculate v.
-1, -1/3, 0, 1
Factor 0 + 0*w + 4/3*w**3 + 4/3*w**2.
4*w**2*(w + 1)/3
Let g(b) = b**3 - 14*b**2 + b - 14. Let t be g(14). Let k(l) be the second derivative of l + 1/50*l**5 + 0 + 0*l**2 + t*l**3 - 1/30*l**4. Factor k(v).
2*v**2*(v - 1)/5
Let y be 0/(1*1/(-1)). Solve 0*v + y - 2/3*v**2 + 2/3*v**3 = 0 for v.
0, 1
Let u(i) = -23*i**4 + 192*i**3 - 365*i**2 + 269*i - 64. Let m(f) = 12*f**4 - 96*f**3 + 182*f**2 - 134*f + 32. Let d(c) = -13*m(c) - 6*u(c). Factor d(a).
-2*(a - 2)**2*(3*a - 2)**2
Let z(b) = -2*b - 26. Let j be z(-14). Factor 0 + 3/4*w**j + 0*w - 3/4*w**3.
-3*w**2*(w - 1)/4
Let u(h) be the second derivative of -h**6/1440 + h**4/96 + h**3/6 + 2*h. Let v(n) be the second derivative of u(n). Solve v(g) = 0 for g.
-1, 1
Factor -7*v**4 - v**2 - v**2 - 4*v - 6*v**4 + 15*v**4 + 4*v**3.
2*v*(v - 1)*(v + 1)*(v + 2)
Let i(p) = -p**2 + 24*p + 31. Let g(b) = b**2 + 1. Let x(o) = 3*g(o) - i(o). Factor x(s).
4*(s - 7)*(s + 1)
Factor 2/7*k - 2/7*k**2 + 0.
-2*k*(k - 1)/7
Let f(g) be the third derivative of -g**6/200 + g**5/20 - 3*g**4/40 - 9*g**3/10 + 4*g**2. Find a, given that f(a) = 0.
-1, 3
Let x(j) be the third derivative of j**8/84 + 2*j**7/105 - j**6/15 + 6*j**2. Factor x(q).
4*q**3*(q - 1)*(q + 2)
Let i be (-3)/((60/(-1016))/5). Let l = i + -1774/7. What is a in 2/7*a - l*a**2 + 0 + 2/7*a**3 = 0?
0, 1
Let k(f) = -f**3 + 7*f**2 + f - 4. Let o be k(7). Let p be 2*(0 - 1) - -6. Factor 0*h**4 - 3*h + 8*h**o + 7*h - 10*h**2 - h**p - h**4.
-2*h*(h - 2)*(h - 1)**2
Let a = -8 + 14. Factor 2 - 1 + 3*w**5 + a*w**4 - 3*w - 6*w**2 - 1.
3*w*(w - 1)*(w + 1)**3
Determine s so that 104*s**3 - 209*s**3 - 2*s + 100*s**3 + 7*s**2 = 0.
0, 2/5, 1
Let w(j) be the first derivative of j**3/24 - j**2/16 - 8. Factor w(x).
x*(x - 1)/8
Let x(g) be the third derivative of -1/20*g**5 + 5*g**2 + 0*g - 8*g**3 + 0 + g**4. Determine u so that x(u) = 0.
4
Suppose 5*p + 220 = 2*n, 4*n - n + p - 364 = 0. Suppose -2*f = 2*f - k - 207, 3*f = -3*k + 144. Factor 101*m**3 - f*m**2 - 16 + n*m - 3*m**3 - 201*m**2.
2*(m - 2)*(7*m - 2)**2
Let p(x) be the third derivative of -x**8/5040 - x**7/420 - x**6/90 - x**5/30 - 4*x**2. Let i(o) be the third derivative of p(o). Find d, given that i(d) = 0.
-2, -1
Suppose -5*r**2 + 5 - 9 - 18*r - 1 - 4 = 0. Calculate r.
-3, -3/5
Let w(j) = -j**3 - 57*j**2 - 2*j - 111. Let h be w(-57). Factor 1/4*l - 1/4*l**h + 0 + 0*l**2.
-l*(l - 1)*(l + 1)/4
Let g(k) = -k**3 + 4*k**2 - k + 7. Let w be g(4). Suppose -o + f + 5 = 0, 2*o + f - w = -4*f. Suppose 0*u - 4/3*u**3 + 0 + 2/3*u**o + 2/3*u**2 = 0. What is u?
0, 1
Let j = 141 - 88. Let j + i**2 + 2*i**3 - 53 - 2*i**2 - i**4 = 0. What is i?
0, 1
Let w = -159 + 165. Find k, given that 2*k**2 + 2/9*k**3 + 6*k + w = 0.
-3
Let u = 415 + -409. Suppose u + 2/3*s**2 - 4*s = 0. What is s?
3
Factor -y - 8*y**3 - 4 + 6*y - 4*y**4 + 4*y**5 - y + 8*y**2.
4*(y - 1)**3*(y + 1)**2
Let l(q) be the second derivative of -q**4/54 + 5*q**3/27 - 4*q**2/9 - 2*q. What is o in l(o) = 0?
1, 4
Find p such that -4/15*p + 0 + 2/5*p**2 - 2/15*p**3 = 0.
0, 1, 2
Let v(t) be the third derivative of t**3 - 2*t**2 + 0*t - 1/20*t**5 - 1/8*t**4 + 0. Factor v(n).
-3*(n - 1)*(n + 2)
Let b(h) be the second derivative of 0*h**4 + 1/10*h**5 - 1/15*h**6 + 0 + 0*h**3 + h + 0*h**2. Solve b(q) = 0 for q.
0, 1
Let n(c) = -6*c**4 + 8*c**3 - 4*c**2 + 2*c - 3. Let g be 48/18*(-6)/4. Let p(y) = 7*y**4 - 8*y**3 + 3*y**2 - 2*y + 4. Let l(v) = g*n(v) - 3*p(v). Factor l(q).
q*(q - 1)**2*(3*q - 2)
Suppose j = 3*b + 3 - 11, 0 = 3*b + 3*j. Suppose -2*a - b*a + 3*m = -2, 2 = m. Determine k so that -2/3 - 1/3*k**a + k = 0.
1, 2
Let y(m) be the first derivative of m + 1/6*m**6 - 2 - 1/2*m**4 + 1/2*m**2 - 2/3*m**3 + 1/5*m**5. Factor y(i).
(i - 1)**2*(i + 1)**3
Let x(o) = 13*o + 42. Let s be x(-3). Let a be 0*(-1 + 3 + -3). What is l in -l**2 + a + 0*l**s - 2/3*l + 1/3*l**4 = 0?
-1, 0, 2
Let h(x) = 7*x + 133. Let z be h(-19). Let p = 8 + -4. Factor -2/5 - 2/5*q**p + 0*q + z*q**3 + 4/5*q**2.
-2*(q - 1)**2*(q + 1)**2/5
Suppose 2*p = 13 - 1. Find j such that -3*j**5 - p*j**4 + j**5 + 2*j**2 + 2*j**4 + 2*j**3 + 2*j**4 = 0.
-1, 0, 1
Let l be (0 + 2)/(-1) + 7. Factor 0*o + 5/2*o**4 + 1/2*o**3 + 0 - 1/2*o**2 + 3/2*o**l.
o**2*(o + 1)**2*(3*o - 1)/2
Let a(t) be the first derivative of 1/2*t**4 + 0*t**3 - 3*t**2 - 4*t - 1. Factor a(u).
2*(u - 2)*(u + 1)**2
Let a be (-1)/1*(-8 + 3). Suppose 1 = -a*n + 11. Suppose l**2 + l**n - l**3 - l**3 = 0. Calculate l.
0, 1
Let a be ((-6)/7)/((-5)/(-35)). Let h(p) = -p**2 - 6*p + 3. Let g be h(a). Factor 2/3*v**5 + 0 + 0*v + 0*v**g + 0*v**2 - 2/3*v**4.
2*v**4*(v - 1)/3
Let f(z) = -z**3 + 8*z**2 - 9*z + 17. Let g be f(7). Suppose -2/7*n**g - 4/7*n**2 + 0*n + 6/7*n**4 + 0 = 0. Calculate n.
-2/3, 0, 1
Let s = 8675/21 + -413. Let g(l) be the first derivative of 0*l - 1/7*l**2 - s*l**3 + 2. Factor g(w).
-2*w*(w + 1)/7
Factor 6*f**4 - 2*f**5 + 5*f**5 - 3*f**4.
3*f**4*(f + 1)
Let a(n) = 3*n - 1. Let i be a(2). Let y(w) be the third derivative of 0*w**i + 0*w**3 + 0*w - 1/120*w**6 + w**2 + 1/24*w**4 + 0. Factor y(h).
-h*(h - 1)*(h + 1)
Let c(m) be the second derivative of 7*m**7/33 - 224*m**6/165 + 67*m**5/110 + 104*m**4/33 - 116*m**3/33 + 16*m**2/11 - 2*m. What is f in c(f) = 0?
-1, 2/7, 1, 4
Let q = 0 - 0. Suppose -3*s = -2*a - 3, -s + 0*s + 5 = q. Determine x so that 5 - 4*x + 4*x**2 + 3*x**3 - a - 3*x**2 + x**3 = 0.
-1, -1/4, 1
Let o(s) be the first derivative of 3/8*s**2 - 6 - 3/20*s**5 - 3/4*s**3 + 9/16*s**4 + 0*s. Factor o(u).
-3*u*(u - 1)**3/4
Factor -3*c**3 - 8*c**3 - 4 + c**3 + 8 - 14*c + 2*c**4 + 18*c**2.
2*(c - 2)*(c - 1)**3
Suppose -m - 2*l = -0*l - 8, -5*m = -3*l + 12. Let y(v) be the third derivative of v**2 + 1/72*v**4 + 1/180*v**5 + 0*v - 1/9*v**3 + m. Let y(n) = 0. What is n?
-2, 1
Factor -o**4 + o**3 - 3*o**2 + 2*o**3 - 20*o + 21*o.
-o*(o - 1)**3
Let h(z) = -z - 3. Let g be h(-7). Suppose 2*n - 10 = -2*f, g*n - 5*f + 9 = 2. Factor 0 + 4*j**3 + 7/4*j**4 + 11/4*j**n + 1/2*j.
j*(j + 1)**2*(7*j + 2)/4
Factor -9 - 9/4*y**2 + 15*y.
-3*(y - 6)*(3*y - 2)/4
Let n(o) be the second derivative of -o**6/360 + o**4/24 - o**3/2 + 5*o. Let a(v) be the second derivative of n(v). Find x, given that a(x) = 0.
-1, 1
Let r(o) be the second derivative of 2*o**6/15 - 8*o**5/5 + 8*o**4 - 64*o**3/3 + 32*o**2 + 2*o. Factor r(l).
4*(l - 2)**4
Let y(s) = -s - 1. Let h(k) = k**2 - 7*k + 10. Let d(a) = -h(a) - 2*y(a). Solve d(p) = 0 for p.
1, 8
What is u in 0*u - 1/8*u**2 + 1/8*u**3 + 1/8*u**4 - 1/8*u**5 + 0 = 0?
-1, 0, 1
Let i = 4 - 4. Determine f, given that 2*f**3 + 6*f**2 + i*f**3 + 4*f + f**3 - f**3 = 0.
-2, -1, 0
Let t(q) be the second derivative of -q**8/1176 + q**7/735 + q**6/420 - q**5/210 - q**2/2 + 3*q. Let f(o) be the first derivative of t(o). Factor f(j).
-2*j**2*(j - 1)**2*(j 