1 - 3. Factor c(b).
2*b**2/7
Let 0 - 1/2*f - 1/2*f**2 = 0. Calculate f.
-1, 0
Let g be (-8)/16*(-2)/3. Let g*r**2 - 2*r + 3 = 0. Calculate r.
3
Let z(l) be the first derivative of 0*l**2 + 1/3*l - 1/3*l**3 - 1/6*l**4 + 4. What is g in z(g) = 0?
-1, 1/2
Let y(r) = -r + 10. Let k be y(6). Factor 49/2*f**4 + 0 + k*f + 105*f**3 - 343/2*f**5 + 38*f**2.
-f*(f - 1)*(7*f + 2)**3/2
Let g(t) = -t**3 + t**2. Let w(r) = r**4 + 2*r**3 - 8*r**2 - 8*r - 3. Let b(a) = 2*g(a) + w(a). Factor b(f).
(f - 3)*(f + 1)**3
Let s(c) = c**3 + 3*c**2 - 4*c + 3. Suppose d = 4*t + 3*d + 8, t + 4*d = 12. Let y be s(t). Factor -2*h**y + 3*h**2 - 5*h**3 - h**2.
-h**2*(7*h - 2)
Let k(c) = -2*c**2 + 6*c - 4. Let p be k(13). Let q = 1852/7 + p. Determine m so that -10/7*m**4 + q*m + 18/7*m**3 - 2*m**2 + 0 + 2/7*m**5 = 0.
0, 1, 2
Suppose 0 = 5*w + 2*v - 11, 5*w - 7 = 2*v - 6*v. Let b = 8 - w. Factor -u**4 + u + u**5 - 2*u**2 + 3*u**4 - 2*u**b.
-u*(u - 1)**3*(u + 1)
Let 1/2*r**2 - 3*r + 9/2 = 0. What is r?
3
Let b(g) be the first derivative of g**4/2 + 22*g**3/9 + 2*g**2 + 9. Solve b(a) = 0.
-3, -2/3, 0
Let h(d) be the first derivative of 3*d**4/8 - 2*d**3/3 - 5*d**2/4 + d + 7. Let h(o) = 0. What is o?
-1, 1/3, 2
Let 0*n - 2/3*n**2 + 2/3 = 0. What is n?
-1, 1
Let p(o) be the third derivative of 0*o**4 - 1/30*o**5 + 0 + 5*o**2 + 0*o + 4/3*o**3. Factor p(f).
-2*(f - 2)*(f + 2)
Suppose 0*v + 3*v + 9 = 0. Let d(b) = b**2 + b - 4. Let q be d(v). Let f**2 + 5 + 4*f - q + 1 = 0. What is f?
-2
Let q(i) be the third derivative of i**8/112 - 2*i**7/35 + i**6/20 + i**5/5 - 3*i**4/8 + i**2. Factor q(w).
3*w*(w - 3)*(w - 1)**2*(w + 1)
Let n(a) be the third derivative of a**7/1260 - a**6/120 + a**5/30 + a**4/6 - 5*a**2. Let l(o) be the second derivative of n(o). Determine k so that l(k) = 0.
1, 2
Let k(u) be the first derivative of -3/4*u**4 + 0*u + 0*u**3 + 3/2*u**2 - 1. Suppose k(v) = 0. Calculate v.
-1, 0, 1
Factor 0*k - 1/4 + 1/4*k**2.
(k - 1)*(k + 1)/4
Suppose -52 = 11*i - 24*i. What is x in 2/5*x**i + 0*x + 0 + 2/5*x**5 + 0*x**3 + 0*x**2 = 0?
-1, 0
Let n = 14 + -9. Suppose 3*g = p - n*p + 8, p - 2 = g. Factor 0 - 8/9*b**3 - 2/9*b**5 + 8/9*b**4 + g*b**2 + 0*b.
-2*b**3*(b - 2)**2/9
Let y(o) be the first derivative of -o**4/6 + 2*o**3/27 + 8*o**2/9 + 8*o/9 + 12. Factor y(n).
-2*(n - 2)*(n + 1)*(3*n + 2)/9
Let u = -1/33 + 37/132. Let n(a) be the third derivative of 0 - u*a**4 - 7/40*a**6 - 9/20*a**5 + 0*a**3 - a**2 + 0*a. Factor n(k).
-3*k*(k + 1)*(7*k + 2)
Let b(d) be the third derivative of -d**7/140 + 3*d**6/80 + d**5/40 - 3*d**4/16 - 4*d**2. Solve b(l) = 0 for l.
-1, 0, 1, 3
Suppose -3*i + 6 = -0. Factor 0*w + 0*w**i + 0 - 2/3*w**3 - 2/3*w**5 - 4/3*w**4.
-2*w**3*(w + 1)**2/3
Let a(o) be the first derivative of -2 - 1/3*o**3 + 0*o**2 + 0*o. Factor a(m).
-m**2
Factor 3/2 + 2*a + 1/2*a**2.
(a + 1)*(a + 3)/2
Let n(f) be the first derivative of f**4/42 - f**3/21 - 3*f + 5. Let r(q) be the first derivative of n(q). Factor r(s).
2*s*(s - 1)/7
Let i(d) = -d**2 + 5*d + 6. Let x be i(-4). Let j = 91/3 + x. Suppose 1/3 + j*v**2 - 2/3*v = 0. What is v?
1
Let i(t) = -2*t - 4. Let l be i(-4). Factor 0*q**2 + 0*q**l - 2/7*q**5 - 2/7*q + 0 + 4/7*q**3.
-2*q*(q - 1)**2*(q + 1)**2/7
Let i(t) be the second derivative of -t**7/2520 - t**6/540 + t**5/360 + t**4/36 - 5*t**3/6 + 2*t. Let n(h) be the second derivative of i(h). Factor n(q).
-(q - 1)*(q + 1)*(q + 2)/3
Let u(y) be the first derivative of 3/5*y**2 - 3 - 2/15*y**3 - 4/5*y. What is q in u(q) = 0?
1, 2
Let z(o) be the first derivative of 0*o**4 - 1 + 0*o - 1/6*o**2 + 2/9*o**3 - 2/15*o**5 + 1/18*o**6. Find v such that z(v) = 0.
-1, 0, 1
Let x(d) = d**2 - 8*d + 12. Let n be x(6). Suppose n = 5*s + 2*o - 28, 2*o + 4 = 12. Factor -1/2*m**5 + 1/2*m**2 - 3/2*m**3 + 0 + 0*m + 3/2*m**s.
-m**2*(m - 1)**3/2
Let w = 733 + -730. Factor -15/2*f**2 - 1/2*f**4 - 13/2*f - 2 - 7/2*f**w.
-(f + 1)**3*(f + 4)/2
Suppose 6*l - 4*l = 5*a + 25, 0 = l + 5. Let x(n) = -n**2 - 8*n - 7. Let j be x(a). Factor 2/7*m**3 + 2/7*m**4 - 2/7*m**5 + j*m + 0 - 2/7*m**2.
-2*m**2*(m - 1)**2*(m + 1)/7
Let m(j) be the second derivative of -j**4/3 + 4*j**3/3 + 6*j**2 - 8*j. Solve m(s) = 0 for s.
-1, 3
Let f(n) = -n**2 - 4*n + 5. Let v be f(-4). Let l(s) = -7*s**2 + s + 1. Let u(k) = k**2 + k - 1. Let d(w) = v*u(w) + l(w). Factor d(g).
-2*(g - 2)*(g - 1)
Let o(s) be the second derivative of -s**5/40 - s**4/8 - s**3/6 - 2*s + 5. Suppose o(w) = 0. Calculate w.
-2, -1, 0
Let y(f) be the first derivative of 5*f**3/2 + 3*f**2/4 + 1. Determine s so that y(s) = 0.
-1/5, 0
Let j(b) be the third derivative of -b**8/5040 + b**7/840 - b**6/360 + b**5/360 + 5*b**3/6 - 4*b**2. Let g(m) be the first derivative of j(m). Solve g(h) = 0.
0, 1
Let w(g) be the first derivative of g**4/40 + 2*g**3/15 + 3*g**2/20 - 12. Factor w(x).
x*(x + 1)*(x + 3)/10
Suppose 18 = 2*c - 5*i, 3*i - 7 + 33 = 5*c. Factor 1/2*j + 1/2*j**5 + 0*j**2 + 0*j**c + 0 - j**3.
j*(j - 1)**2*(j + 1)**2/2
Factor 3/4*i - 1/4*i**3 + 1/2 + 0*i**2.
-(i - 2)*(i + 1)**2/4
Let j(v) be the third derivative of -v**8/4200 + v**6/900 - v**3/3 - 2*v**2. Let q(l) be the first derivative of j(l). Let q(a) = 0. What is a?
-1, 0, 1
Suppose 50*t - 53*t = -6. Factor -2/9*h**5 + 0*h**3 - 2/9*h**4 + 0*h + 0*h**t + 0.
-2*h**4*(h + 1)/9
Let y = 10 - 17/2. Let 0 + y*s**5 + 3/2*s**4 - 3/2*s**3 - 3/2*s**2 + 0*s = 0. What is s?
-1, 0, 1
Let c(i) = -3*i - 1. Let y be c(-2). Suppose -5*r - 15 = -0*r - y*v, -3*v + 11 = -2*r. Find m such that m + m**r - 3*m + 1 + 0 = 0.
1
Determine f, given that 3*f**4 - f**2 + 2*f**5 + 0*f - 3*f**2 - 2*f + f**4 = 0.
-1, 0, 1
Let c be -10*(7 - 6)*(-4)/10. Let o(l) be the second derivative of -l + 0*l**2 + 1/12*l**c + 0*l**3 + 0 + 1/20*l**5. Determine z so that o(z) = 0.
-1, 0
Let y be (0 - 4/8)/(42/(-4)). Let i(c) be the third derivative of -1/84*c**4 + 3*c**2 + 1/420*c**6 + 0*c + y*c**3 + 0 - 1/210*c**5. Solve i(t) = 0 for t.
-1, 1
Let v(w) be the third derivative of -w**6/1440 + w**3/3 - 2*w**2. Let u(d) be the first derivative of v(d). Factor u(k).
-k**2/4
Suppose -3*n - 5*s + 0 = -4, 5*n + 10 = -5*s. Let m(d) = 16*d**3 - 16*d + 7. Let q(h) = 5*h**3 - 5*h + 2. Let i(y) = n*q(y) + 2*m(y). Factor i(p).
-3*p*(p - 1)*(p + 1)
Let o(c) be the first derivative of -6*c**5/5 + c**4/2 + 10*c**3/3 - c**2 - 4*c - 1. Let o(w) = 0. What is w?
-1, -2/3, 1
Let w(v) be the second derivative of v**4/30 + 2*v**3/5 + 8*v**2/5 - 28*v. Find x, given that w(x) = 0.
-4, -2
Let d(y) be the second derivative of -3*y**5/140 + 5*y**4/28 - 4*y**3/7 + 6*y**2/7 + 10*y. Let d(h) = 0. What is h?
1, 2
Let v(n) be the first derivative of n**6/39 - 6*n**5/65 + n**4/13 + 22. Find b, given that v(b) = 0.
0, 1, 2
Let g(v) = v**2 + v. Let c be g(0). Let z(t) be the third derivative of 1/6*t**4 + t**2 + c + 0*t + 1/30*t**5 + 1/3*t**3. Find o, given that z(o) = 0.
-1
Let j(w) be the second derivative of -1/2*w**4 + 1/3*w**3 + 0*w**2 + 0 + 1/5*w**5 + 2*w. Factor j(x).
2*x*(x - 1)*(2*x - 1)
Find k, given that 0*k + 2/9*k**3 + 0 - 2/9*k**2 = 0.
0, 1
Let v(j) be the first derivative of 0*j**2 + 2/5*j + 1 - 2/15*j**3. Factor v(r).
-2*(r - 1)*(r + 1)/5
Suppose -42*r + 41*r = 0. Let v(h) be the second derivative of -h - 1/54*h**4 + 0 - 1/90*h**5 + r*h**3 + 0*h**2. Factor v(t).
-2*t**2*(t + 1)/9
Let b be 1*3 - (16 + -15). Let y(w) be the second derivative of 0 + 1/3*w**4 - 1/5*w**5 - 1/21*w**7 + w**3 + w**b - 1/5*w**6 + 3*w. Let y(a) = 0. Calculate a.
-1, 1
Let s be 4/340*40/(-16)*-4. Factor 4/17*z - 4/17*z**3 + 2/17 - s*z**4 + 0*z**2.
-2*(z - 1)*(z + 1)**3/17
Let v(w) be the second derivative of -w**5/70 - w**4/21 + 4*w**3/21 + 8*w**2/7 - 2*w. Factor v(n).
-2*(n - 2)*(n + 2)**2/7
Let d(k) be the third derivative of k**6/540 + 4*k**5/135 + 7*k**4/36 + 2*k**3/3 + 41*k**2. Factor d(q).
2*(q + 2)*(q + 3)**2/9
Factor 1/9*s**2 + 0*s + 0.
s**2/9
Let x(l) = 2*l + 0*l + 12 - 4. Let y be x(-4). Factor 0*g + 1/4*g**2 + y.
g**2/4
Let n(a) be the second derivative of -4*a**2 - 5/6*a**4 + 6*a + 0 + 8/3*a**3 + 1/10*a**5. Factor n(s).
2*(s - 2)**2*(s - 1)
Let y(u) = u**3 + 11*u**2 + 12*u + 13. Let j be y(-10). Let o = j + 11. Suppose -f**2 + 0*f**4 - 2*f**o + 5*f**2 - 2 = 0. Calculate f.
-1, 1
Factor -4/7*d**5 - 4/7*d**4 + 8/7*d**2 + 8/7*d**3 - 4/7*d - 4/7.
-4*(d - 1)**2*(d + 1)**3/7
Let r = -11697/9