3*i - 2)
Let g(c) = c**3 - 4*c**2 + 8*c + 2. Let w be g(4). What is b in 3*b**4 - 26*b**2 - 28*b**3 + 8 + 50*b + 27*b**4 - w*b = 0?
-2/3, -2/5, 1
Let h(p) = -p - 2. Let l be h(-4). Solve 0*a**2 - 2*a**2 - 2*a**l + 2*a**3 = 0.
0, 2
Let s(w) = w**3 - 3*w**2 - 2*w - 5. Let r be s(4). Let l be -1 + r/(3/3). Factor -2*i**4 - 2*i + 0*i**4 + i**5 + i + l*i**2.
i*(i - 1)**3*(i + 1)
Let k(i) be the third derivative of i**7/840 - i**6/480 - i**5/80 + i**4/96 + i**3/12 + 17*i**2. Factor k(n).
(n - 2)*(n - 1)*(n + 1)**2/4
Let f = 70/51 - 12/17. Factor 0*i + 0 - f*i**4 + 1/3*i**3 + 0*i**2.
-i**3*(2*i - 1)/3
Let a(p) = -p - 5. Let z be a(8). Let x(s) = -s - 13. Let l be x(z). Determine c so that -2/3*c**2 + 2/3*c + l = 0.
0, 1
Let v(u) be the third derivative of 0*u**4 + 0 + 0*u**3 - 8*u**2 + 1/90*u**5 + 0*u + 7/360*u**6. Factor v(t).
t**2*(7*t + 2)/3
Factor -948*u**3 + 16 + 944*u**3 + 8*u**2 + 28*u + 0*u**2.
-4*(u - 4)*(u + 1)**2
Suppose -o + 4 = o. Suppose -5*p - 21 = o*c, -p - 5 - 2 = -c. What is q in -c - 6*q**2 + 3*q + 2*q**3 + 3*q + 0*q = 0?
1
Let d(q) be the second derivative of 5*q**4/12 - 5*q**3/6 + 9*q. Solve d(s) = 0.
0, 1
Let x be 24/9 + 10/(-15). What is r in 3/4*r + r**x - 1/4 = 0?
-1, 1/4
Let b be 1*((-2)/(-1))/2. Let t be 3 + (0/b)/(-2). Find c, given that -4*c**3 + 16*c**3 - 6*c**t + 9*c**2 + 3*c = 0.
-1, -1/2, 0
Let u(k) be the third derivative of 2*k**7/105 + 17*k**6/360 + k**5/60 - k**4/36 - 10*k**2. Let u(q) = 0. What is q?
-1, -2/3, 0, 1/4
Find o, given that 3*o**2 - 3*o**3 - o**4 + 2*o - 2*o**4 + 3*o - 2*o = 0.
-1, 0, 1
Factor 9/4*v + 3/2 + 3/4*v**2.
3*(v + 1)*(v + 2)/4
Let q = -25 - -40. Suppose 2*n = 5*n - q, -n + 11 = 3*t. Find u, given that -u**t + u**4 - u**2 + u**4 = 0.
-1, 0, 1
Let w be (-4)/10 + (-12)/(-5). Suppose 3*u**2 + 0*u - 3*u**w - 4 + 2*u + 2*u**2 = 0. Calculate u.
-2, 1
Let j(y) be the first derivative of 2*y**5/55 - 3*y**4/11 + 8*y**3/11 - 8*y**2/11 + 3. Let j(g) = 0. Calculate g.
0, 2
Suppose 0 = 5*n + 6*d - 2*d - 46, 3*n + 2 = 5*d. Let h = n - 4. Factor -4*s + 9*s**2 + 13*s + 5*s**3 + h + 3*s**2.
(s + 1)**2*(5*s + 2)
Let m(q) be the first derivative of 3*q**5/10 + 11*q**4/8 - q**3 - 2*q**2 - 23. Determine u so that m(u) = 0.
-4, -2/3, 0, 1
Let u(h) = -2*h**5 - 7*h**4 + 9*h**3 - 7*h**2 + h. Let c = -7 + 4. Let j(m) = -m**5 - m**4 + m**3 - m**2. Let f(d) = c*j(d) + u(d). Factor f(b).
b*(b - 1)**4
Suppose -s - 43 + 43 = 0. Solve -2/9*c + 0 + 2/9*c**3 + s*c**2 = 0.
-1, 0, 1
Let j = -7 - -15/2. Let b be 4*((-44)/(-16) - 2). Determine l so that j*l - 1/2*l**b + 0 + 0*l**2 = 0.
-1, 0, 1
Let n be -3 - (0 - 82/26). Factor -2/13*k + 0 - n*k**3 - 4/13*k**2.
-2*k*(k + 1)**2/13
Let k = 5948/6651 + -4/739. Find f, given that -8/9*f + k + 2/9*f**2 = 0.
2
Let f(p) = -4*p**2 - 7*p - 3. Let d(j) = -4*j**2 - 6*j - 2. Let o(u) = -5*d(u) + 6*f(u). Determine k so that o(k) = 0.
-2, -1
Let b = -13 + 16. Let g(l) be the first derivative of 1/3*l**6 - b*l**2 + l**4 + 1 + 2*l + 4/3*l**3 - 6/5*l**5. Factor g(a).
2*(a - 1)**4*(a + 1)
Let o(n) be the second derivative of n**7/840 + n**6/80 - 5*n**4/12 + 4*n. Let u(l) be the third derivative of o(l). Solve u(j) = 0 for j.
-3, 0
Let z(r) = -7*r**3 + 9*r**2 + 3. Let w(b) = 8*b**3 - 8*b**2 - 4. Let s(a) = 3*w(a) + 4*z(a). Find u, given that s(u) = 0.
0, 3
Let h(s) be the third derivative of -s**8/10080 + s**7/1260 - s**6/360 + s**5/15 + s**2. Let a(o) be the third derivative of h(o). What is u in a(u) = 0?
1
Let q(i) be the third derivative of -529*i**5/210 - 23*i**4/21 - 4*i**3/21 - 16*i**2. Factor q(s).
-2*(23*s + 2)**2/7
Let u(q) be the third derivative of 0 + 0*q**3 + 1/60*q**4 + 2*q**2 + 0*q - 1/75*q**5. Suppose u(s) = 0. Calculate s.
0, 1/2
Let l(s) be the first derivative of -2*s**3/15 - 4*s**2/5 - 3. Factor l(n).
-2*n*(n + 4)/5
Let s(t) = -t**3 + 2*t - 1. Let x be s(-2). What is b in -13*b - 13*b**2 - 5*b**4 - 2 - 17*b**x + b + b - 8*b**2 = 0?
-1, -2/5
Let i be 3 + 2*(-3)/6. Let d(l) = -1 - 2*l - l**2 - i*l + 5*l. Let h(q) = 48*q**2 + 29*q + 3. Let o(f) = 2*d(f) - 2*h(f). Solve o(x) = 0 for x.
-2/7
Let o = -9335 + 46886/5. Let s = o + -42. Factor 0*c**2 + 2/5*c**3 - 1/5*c - s*c**5 + 0*c**4 + 0.
-c*(c - 1)**2*(c + 1)**2/5
Let n = 14 + -14. Suppose n = -2*d + 2*r - r + 4, 0 = -d + r + 2. Solve -1/2*t**3 - 1/2*t**d + 0 + 1/2*t + 1/2*t**4 = 0.
-1, 0, 1
Let y(d) be the third derivative of -d**5/210 + d**4/84 + 2*d**3/21 + d**2. Factor y(c).
-2*(c - 2)*(c + 1)/7
Let y = 893/672 - -1/224. What is g in -2/3*g - 5/6*g**3 - y*g**2 + 0 - 1/6*g**4 = 0?
-2, -1, 0
Let x(h) be the second derivative of h**7/1890 + h**6/1080 - h**5/540 - h**4/216 + 7*h**2/2 + 5*h. Let p(o) be the first derivative of x(o). Factor p(a).
a*(a - 1)*(a + 1)**2/9
Suppose 0 = t - 6*t + 5. Let v(c) be the first derivative of -c**3 + 0 - c + c**2 + t + c**2. Factor v(o).
-(o - 1)*(3*o - 1)
Let m(f) = -3*f**5 - 2*f**4 + 2*f**3 - 2*f**2 - 5*f. Let w(c) = -13*c**5 - 9*c**4 + 7*c**3 - 8*c**2 - 21*c - 1. Let d(s) = -18*m(s) + 4*w(s). Factor d(q).
2*(q - 1)**3*(q + 1)*(q + 2)
Let f be (2 - 2)/2 - -6. Suppose f*w - 3*w**3 - 2*w**3 + 6*w**4 - 2 - 2*w**5 - 4*w**2 + w**3 = 0. Calculate w.
-1, 1
Suppose -5*c + 32 = -c. Suppose 2*w - c = -2*w. Determine s so that 2*s**3 + s + 0 - 1 - 2*s - s**4 - s**5 + w*s**2 = 0.
-1, 1
Suppose 9*a + 78 - 96 = 0. Suppose -2/3 - 2/9*w**a - 8/9*w = 0. Calculate w.
-3, -1
Let w(a) = 23*a + 2. Let s be w(-1). Let q = 23 + s. Factor -2*v - 4/7*v**4 + 2/7*v**5 + 16/7*v**q + 4/7 - 4/7*v**3.
2*(v - 1)**4*(v + 2)/7
Let u(w) be the third derivative of w**8/672 - w**7/210 + w**6/240 + w**2. Factor u(s).
s**3*(s - 1)**2/2
Let n = 25 + -23. Let w(v) be the second derivative of 1/3*v**4 - 1/21*v**7 + 1/20*v**5 - 7/60*v**6 + 1/6*v**3 + 0 - 1/4*v**n - 2*v. Let w(p) = 0. What is p?
-1, 1/4, 1
Let 62 + i**4 + 10*i**3 - 10*i + 5*i**4 - 66 - 2*i**2 = 0. Calculate i.
-1, -2/3, 1
Let b(l) be the third derivative of -3*l**8/112 - 7*l**7/60 - 23*l**6/120 - 17*l**5/120 - l**4/24 - 2*l**2. Solve b(v) = 0 for v.
-1, -1/2, -2/9, 0
Let v(z) = -14*z**2 + 21*z - 5. Let p(a) = -5*a**2 + 7*a - 2. Let f(l) = 17*p(l) - 6*v(l). Let y be f(-6). Factor -1/2*w**y + 0 + 0*w.
-w**2/2
Factor -66/5*t**2 - 21/5*t**4 - 3/5*t**5 - 54/5*t**3 - 39/5*t - 9/5.
-3*(t + 1)**4*(t + 3)/5
Let a(x) be the second derivative of -1/6*x**4 + 0*x**5 + 1/6*x**3 + 0*x**2 - x - 1/42*x**7 + 1/15*x**6 + 0. Factor a(u).
-u*(u - 1)**3*(u + 1)
Suppose -15 = 3*r, 3*o + 4*r + 6 = -8. Factor 6*f + 20*f**o + 3 - 3 - 23*f**2.
-3*f*(f - 2)
Determine w, given that 0 - 1/2*w - 1/4*w**2 + 1/4*w**3 = 0.
-1, 0, 2
Factor -2*l**2 + 10*l + 5122 - 5122.
-2*l*(l - 5)
Let a(c) be the second derivative of c**5/25 - 13*c**4/60 + 11*c**3/30 - c**2/5 - 2*c. Find w, given that a(w) = 0.
1/4, 1, 2
Let o(p) be the first derivative of -p**5/20 + p**4/8 - p**2/4 + p/4 + 4. Suppose o(m) = 0. Calculate m.
-1, 1
Let r(z) be the first derivative of -1/4*z**4 - 1/3*z**3 + 0*z - 1/6*z**2 - 1/15*z**5 - 4. Determine f so that r(f) = 0.
-1, 0
Let s = 25/69 + 7/23. Factor 0*d - 2/3*d**5 + 0 + s*d**4 - 2/3*d**2 + 2/3*d**3.
-2*d**2*(d - 1)**2*(d + 1)/3
Let z = -126 + 131. Let m(v) be the third derivative of -3/20*v**6 - 3*v**2 + 0 + 2/3*v**3 + 0*v + 3/4*v**4 - 1/15*v**z. Factor m(t).
-2*(t - 1)*(t + 1)*(9*t + 2)
Let i = 8 - 6. Suppose 3*d**3 - 5*d**3 - 4*d + 2*d**i + 6*d**3 - 2*d**4 = 0. What is d?
-1, 0, 1, 2
Let j(c) = c + 8. Let g = -10 - -4. Let x be j(g). Factor 3*y**4 + 0*y + 2*y**x - 5*y**4 - 2*y**3 + 2*y.
-2*y*(y - 1)*(y + 1)**2
Suppose 0*l = l - 6. Factor -2*j**3 + 6*j**2 - 12*j**2 + 1 - l*j - 3.
-2*(j + 1)**3
Let f(j) be the first derivative of -2*j**5/5 - 5*j**4/4 - 4*j**3/3 - j**2/2 - 1. Factor f(o).
-o*(o + 1)**2*(2*o + 1)
Let v(t) be the second derivative of -t**8/23520 - t**7/2205 - t**6/630 + t**4/4 - 4*t. Let l(f) be the third derivative of v(f). Solve l(g) = 0.
-2, 0
Let v(u) be the second derivative of -u**4/28 - u**3/7 + 9*u**2/14 + 17*u - 1. Suppose v(k) = 0. Calculate k.
-3, 1
Let w(z) = -5*z**2 - 4 - 4*z**2 + 7*z + 3*z**2 + 5*z**2. Let j be w(6). Factor 0*m + 1/3*m**j + 1/3*m**4 + 0 - 2/3*m**3.
m**2*(m - 1)**2/3
Factor 3/2*a**4 + 0*a - 2*a**2 + 0*a**3 + 0 + 1/2*a**5.
a**2*(a - 1)*(a + 2)**2/2
Factor 0 - 4/7*t**4 - 4/7*t**3 + 4/7*t + 4/7*t**2.
-4*t*(t - 1)*(t + 1)**2/7
Let s(t) = 0 + 10*