 0 - 2/3*a - 4*a**3 - 2/3*a**5 = 0.
-1, 0
Suppose 14 = 4*q + 3*d, -5*q - 4*d + 16 = -q. Factor 1 - 5*i**2 + 5*i + 2*i**2 + 7*i**q + 0.
(i + 1)*(4*i + 1)
Let l = -130 - -521/4. Find v such that -l + 5/4*v**2 - 1/4*v - 3/4*v**3 = 0.
-1/3, 1
Let w = 308 - 308. Determine u so that 4/9*u**4 + 2/9*u**5 + 0 + w*u**3 - 2/9*u - 4/9*u**2 = 0.
-1, 0, 1
Let t(g) be the third derivative of g**5/60 - g**4/12 + g**3/6 - 15*g**2. Factor t(m).
(m - 1)**2
Let x(i) be the second derivative of i**2/2 + 3*i. Let a(v) = -v**2 - v - 6. Let j = 17 + -11. Let k(w) = j*x(w) + a(w). Factor k(y).
-y*(y + 1)
Suppose 0*o = 5*o. Suppose u + o - 4 = 0. Suppose -p**2 + u*p - 4*p = 0. What is p?
0
Let f(x) be the third derivative of -1/150*x**5 + 0*x**3 - 1/60*x**4 + 2*x**2 + 0*x + 0. Factor f(d).
-2*d*(d + 1)/5
Let c(a) be the third derivative of -a**5/20 - a**4/8 + a**3 - 15*a**2. Let c(z) = 0. What is z?
-2, 1
Let o(r) be the second derivative of r**5/80 + r**4/16 - 26*r. Factor o(l).
l**2*(l + 3)/4
Suppose 2*q - 6*q + 8 = 0. Suppose 5*o = q*l + 20, o + 5*l = -0*o + 4. What is g in 4*g**2 + g**5 - 4*g**o - g - 3*g**5 + 3*g = 0?
-1, 0, 1
Let t(w) be the first derivative of 0*w**2 - 4/9*w**3 + 1/6*w**4 - 1/3*w**6 + 5 + 8/15*w**5 + 0*w. Determine h, given that t(h) = 0.
-2/3, 0, 1
Let g = -16 - -9. Let p = -5 - g. Let 6*s + 2 - s**p - 3*s - 4*s = 0. Calculate s.
-2, 1
Let h = -114/17 + 900/119. Factor 4/7 - h*n + 2/7*n**3 + 0*n**2.
2*(n - 1)**2*(n + 2)/7
Let n(k) = k + 3. Let d be n(-3). Let 3 + h + 3*h**2 + d*h - 7*h = 0. What is h?
1
Let 0 - 1/3*f**4 + 1/3*f**2 - 2/3*f**3 + 2/3*f = 0. Calculate f.
-2, -1, 0, 1
Suppose 36 + 36 = 18*i. Let d(y) be the first derivative of -1/3*y**3 - 1/3*y + 1/2*y**2 + 1/12*y**i + 3. Factor d(a).
(a - 1)**3/3
Let z(q) = -13 - 2*q**3 + 3*q**3 + 11*q - 10*q**2 + 0*q**3. Let n be z(9). Let 12*p**3 + 2*p**4 - 6*p**2 + p - 9*p**n + 4*p**4 + 0*p**4 - 4*p = 0. Calculate p.
-1, -1/3, 0, 1
Let g be 0 + (-8)/(-36) - (-28)/(-126). Factor 0*a + 2/7*a**2 + g.
2*a**2/7
Let x(v) = -2*v**3 + 11*v**2 - 9*v. Let z(m) = m**3 - 5*m**2 + 4*m. Let b(y) = 2*x(y) + 5*z(y). Suppose b(w) = 0. What is w?
0, 1, 2
Let u = 0 - -2. Factor 2*f**4 + 0 - 3 - 2*f**u + 3.
2*f**2*(f - 1)*(f + 1)
Let u be 9/(-3) - 541/(-180). Let r(s) be the third derivative of 0*s + 0 - 1/9*s**3 - u*s**6 + 1/90*s**5 + 1/36*s**4 - s**2. Factor r(c).
-2*(c - 1)**2*(c + 1)/3
Let i(j) = -3*j**2 + 3. Let h(u) be the second derivative of -u**4/6 + u**3/6 + 3*u**2/2 + 8*u. Let n(c) = -6*h(c) + 5*i(c). Determine k so that n(k) = 0.
-1
Let c(x) be the third derivative of x**6/150 + 2*x**5/75 + x**4/30 - 14*x**2. Factor c(s).
4*s*(s + 1)**2/5
Let y(m) be the third derivative of -m**7/630 + m**6/120 + m**5/180 - m**4/24 + 13*m**2. Solve y(w) = 0 for w.
-1, 0, 1, 3
Let n(p) be the second derivative of -p**5/5 - p**4 - 4*p**3/3 - 6*p. Factor n(q).
-4*q*(q + 1)*(q + 2)
Let z(p) be the second derivative of 0*p**6 + 3/50*p**5 + 0 + 0*p**3 + 4*p + 0*p**2 - 1/105*p**7 - 1/15*p**4. Solve z(k) = 0.
-2, 0, 1
Let i be 8/6*21/14. Factor k**2 - k**2 + i*k**2 + k**2 + 3*k**3.
3*k**2*(k + 1)
Let l(m) be the first derivative of m**3/9 + m**2/2 + 2*m/3 - 1. What is g in l(g) = 0?
-2, -1
Let i be 0/(16/(-4))*(-6)/18. Determine r, given that i*r - 3/2 + 3/2*r**2 = 0.
-1, 1
Let q = 6901 + -55127/8. Find l such that -135/4*l**2 + 243/8*l**3 - q*l**4 - 3 + 33/2*l = 0.
2/3, 1
Let r(l) be the third derivative of 1/105*l**5 - 1/735*l**7 + 3*l**2 + 1/70*l**6 - 1/28*l**4 - 1/392*l**8 - 1/21*l**3 + 0 + 0*l. What is v in r(v) = 0?
-1, -1/3, 1
Let k(j) be the third derivative of j**6/120 + 11*j**5/180 + j**4/6 + 2*j**3/9 - j**2. Factor k(d).
(d + 1)*(d + 2)*(3*d + 2)/3
Let b(w) = -w**3 + 7*w**2 - 5*w - 5. Let t be b(6). Let a(d) be the first derivative of 1/3*d**3 + 0*d - t - d**2. Factor a(j).
j*(j - 2)
Let d(w) be the third derivative of -1/360*w**6 + 1/72*w**4 + 0*w - 1/18*w**3 - w**2 + 1/180*w**5 + 0. Find m, given that d(m) = 0.
-1, 1
Suppose -46*j**2 - 75*j - 2 - 2*j**3 - 43 - 3*j**3 + 11*j**2 = 0. Calculate j.
-3, -1
Let u(f) = -f + 4. Let k(p) = -p**3 + 3*p**2 - p - 2. Let l be k(2). Let v be u(l). Factor o**3 + 2*o**2 - v*o**3 + o**3.
-2*o**2*(o - 1)
Let t(d) = -d**3 + 12*d**2 + 13*d + 18. Let w be t(13). Let s be ((-2)/w)/((-5)/15). Suppose 0*a**2 + 2/3*a - s*a**4 - 2/3*a**3 + 1/3 = 0. What is a?
-1, 1
Let h = -65 - -23. Let i = 44 + h. Determine q so that 0 - 4/3*q + 2/3*q**i = 0.
0, 2
Let p(q) = 2*q**3 - 7*q + q**4 - 5 - 2*q + q**4 - 5*q**2 + 0*q**4. Let o(d) = d**2 + d - 1. Let i(w) = 2*o(w) - 2*p(w). Factor i(k).
-4*(k - 2)*(k + 1)**3
Let f = -7 + 11. Let n = 6 - f. Factor 5*y**2 - 2*y**n + 2*y**3 - y**2 + y**3 + y**4.
y**2*(y + 1)*(y + 2)
Let c(q) be the first derivative of -2/5*q**2 - 1/10*q**4 + 1/3*q**3 - 6 + 1/5*q. Factor c(r).
-(r - 1)**2*(2*r - 1)/5
Let x(b) be the third derivative of b**9/7560 - b**8/1400 + b**7/700 - b**6/900 + b**3/3 - 3*b**2. Let m(w) be the first derivative of x(w). Factor m(y).
2*y**2*(y - 1)**3/5
Let m(b) be the third derivative of 1/80*b**5 - 1/96*b**4 + 0 - 4*b**2 - 1/840*b**7 + 0*b + 1/480*b**6 - 1/12*b**3. Solve m(h) = 0 for h.
-1, 1, 2
Let o(k) be the first derivative of k**5/240 + k**4/96 - k**3/12 + k**2/2 + 6. Let y(w) be the second derivative of o(w). Factor y(s).
(s - 1)*(s + 2)/4
Suppose -2*r + 6*r = -2*r. Find q, given that 0*q - 1/4*q**2 + r = 0.
0
Suppose -1 - 4*f**2 + 10*f**2 + 0*f - f + 0*f = 0. What is f?
-1/3, 1/2
Let f(u) be the first derivative of 2*u**5/75 + u**4/10 + 4*u**3/45 + 6. Solve f(n) = 0.
-2, -1, 0
Let p(l) = -l**3 + l**2 + 3*l + 3. Let k be p(3). Let z be 88/(-33)*k/4. Let 0 + 4/11*x**3 + 2/11*x**2 + 0*x + 2/11*x**z = 0. What is x?
-1, 0
Suppose -11*x + 18*x = 28. Factor 0 - 2/7*h**x + 2/7*h - 6/7*h**2 + 6/7*h**3.
-2*h*(h - 1)**3/7
Let l(r) be the second derivative of -r**8/3360 - r**7/630 + r**4/2 - 9*r. Let f(n) be the third derivative of l(n). Factor f(d).
-2*d**2*(d + 2)
Suppose 13*x + 4 = 14*x. Let o(s) be the third derivative of 0*s + 0 + 0*s**3 + 1/70*s**7 - x*s**2 + 0*s**4 + 3/40*s**6 + 1/10*s**5. Factor o(i).
3*i**2*(i + 1)*(i + 2)
Let g(p) be the second derivative of p**6/75 - p**5/50 - p**4/10 + p**3/15 + 2*p**2/5 - 4*p. Suppose g(d) = 0. Calculate d.
-1, 1, 2
Let o(n) be the second derivative of n**7/105 - 2*n**6/75 - n**5/25 + 4*n**4/15 - 7*n**3/15 + 2*n**2/5 + 4*n. Factor o(r).
2*(r - 1)**4*(r + 2)/5
Let i(n) = -n**3 - 6*n**2 + 6*n - 7. Let o be i(-7). Let v be (4/(-5))/(6/(-5)). Factor -8/3*m + o + 8/3*m**2 - v*m**3.
-2*m*(m - 2)**2/3
Determine r, given that 0*r**4 + 14*r - r**4 + 50*r**2 + 46*r**3 - 7*r**4 + 18*r**2 = 0.
-1, -1/4, 0, 7
Let v(x) be the third derivative of x**7/6 + x**6/12 - 7*x**5/12 - 5*x**4/12 - 4*x**2. Find k, given that v(k) = 0.
-1, -2/7, 0, 1
Let j(c) be the first derivative of c**6/30 - c**4/6 + 4*c**2 - 6. Let s(b) be the second derivative of j(b). Find y, given that s(y) = 0.
-1, 0, 1
Let w = 1 + 2. Suppose -15 = -4*z - 3. Factor -m**5 + m**3 + z*m**2 - w*m**2.
-m**3*(m - 1)*(m + 1)
Let -8/5*q**2 + 0 - 2/5*q**4 - 8/5*q**3 + 0*q = 0. Calculate q.
-2, 0
Let m(g) be the third derivative of 1/72*g**4 + 0 + 0*g - 5*g**2 + 1/18*g**3 - 1/90*g**5. Solve m(v) = 0.
-1/2, 1
Factor 2/7*h**2 + 0 + 2/7*h.
2*h*(h + 1)/7
Let j be ((-1)/(-18))/(1/3). Let s(x) be the first derivative of 0*x**5 + 1/18*x**6 - 1 + 1/6*x**2 + 0*x + 0*x**3 - j*x**4. Suppose s(c) = 0. Calculate c.
-1, 0, 1
Let d(u) be the third derivative of u**5/120 - u**4/12 + u**3/3 - u**2. Solve d(v) = 0 for v.
2
Let a(z) be the second derivative of 1/42*z**7 - 1/15*z**6 - 2*z + 0*z**2 - 1/6*z**3 + 1/6*z**4 + 0 + 0*z**5. Factor a(g).
g*(g - 1)**3*(g + 1)
Determine i, given that -i + 1 + 1/4*i**2 = 0.
2
Suppose 12/5*k + 3/5*k**2 + 9/5 = 0. What is k?
-3, -1
Let g(j) = -j**4 - j**2 - j - 1. Suppose -6 - 4 = -5*y. Let l(x) = -3*x**4 - 12*x**3 - 7*x**2 + 2. Let z(q) = y*g(q) + l(q). Determine a, given that z(a) = 0.
-1, -2/5, 0
Let l(u) = -3*u**3. Let k be l(-1). Let j be ((-2)/18)/((-1)/k). Find b, given that -2/3*b - j*b**2 + 0 = 0.
-2, 0
Let g = -19 - -22. Let s(x) be the first derivative of 1/3*x**4 - 1/9*x**6 + 2/15*x**5 - 1/3*x**2 + 2/3*x + 1 - 4/9*x**g. Factor s(w).
-2*(w - 1)**3*(w + 1)**2/3
Let v(p) = p**2 - 2. Suppose 2 = -2*i + 6. Let o(f) = f**2 - 3. Let k(y) = 