 = 0?
-1, 0, 1
Factor -471*o**3 + 480*o**3 - 7*o**2 - 17*o**2 - 12*o + 27*o**4.
3*o*(o - 1)*(3*o + 2)**2
Let m(o) be the first derivative of 0*o**2 + 0*o + 2 - 1/4*o**4 + 2/3*o**3. Determine k, given that m(k) = 0.
0, 2
Let y(r) be the third derivative of -r**7/1155 + r**6/220 - r**4/33 + 19*r**2. What is v in y(v) = 0?
-1, 0, 2
Suppose g - 2 = 2. Let w(q) be the second derivative of -2/3*q**3 + 0 - 1/6*q**g + 0*q**2 + q. Determine c, given that w(c) = 0.
-2, 0
Let k(x) be the first derivative of -x**7/840 - x**6/180 + x**5/120 + x**4/12 + x**3 - 2. Let w(t) be the third derivative of k(t). Let w(p) = 0. What is p?
-2, -1, 1
Find z such that 0*z + 2/7*z**5 + 4/7*z**2 + 8/7*z**4 + 10/7*z**3 + 0 = 0.
-2, -1, 0
Suppose -k = -2*k + 6. Suppose 3*m + k = 5*m. Factor -8*c**3 - 2*c**2 + 7*c**3 + 3*c**m.
2*c**2*(c - 1)
Let k = -31 + 13. Let n be 7/(-3) - (k - -15). Factor 0*c + n*c**2 - 2/3.
2*(c - 1)*(c + 1)/3
Let v = 66 - 722/11. Let j = v + -1/33. Factor 0 + j*a**2 - 2/3*a.
a*(a - 2)/3
Determine n, given that 2/3*n**4 + 0*n - 2/3*n**2 - 8/3*n**3 + 8/3*n**5 + 0 = 0.
-1, -1/4, 0, 1
Let t(v) = 2*v - 6. Let x be t(5). Suppose 0 = d - x*d + 6. Suppose 1/2*m**3 + 0 + m**d + 1/2*m = 0. What is m?
-1, 0
Let d(p) be the third derivative of 0 + 0*p + 0*p**3 - 1/42*p**4 + 1/210*p**5 + 3*p**2. Factor d(r).
2*r*(r - 2)/7
Let g(r) be the second derivative of r**8/560 + r**7/70 + r**6/30 + r**3/6 + 2*r. Let f(j) be the second derivative of g(j). Factor f(c).
3*c**2*(c + 2)**2
Suppose 2 = 4*t - 2. Suppose -2*r = -1 - t, 3*i + 2*r = 20. Suppose 2*x**5 + 4*x**2 - x**4 + x**4 - i*x**3 = 0. What is x?
-2, 0, 1
Let l(q) be the first derivative of -q**6/720 + q**5/120 - q**4/48 + 5*q**3/3 - 4. Let b(c) be the third derivative of l(c). Suppose b(y) = 0. Calculate y.
1
Let z be (-1 + 9)/(9/((-54)/(-12))). Let n(f) be the second derivative of 0*f**3 + 0 + 1/5*f**2 - 1/30*f**z - f. What is y in n(y) = 0?
-1, 1
Let p = 2 + 1. Suppose 0 = 3*g - q - 7 + 3, 4*q = p*g + 2. Let -3*o - o**2 + 3*o**3 + 0*o + o**2 + 3*o**g - 3 = 0. What is o?
-1, 1
Let q be (2 - 2)/1 - 0. Let o(i) be the third derivative of q*i**3 - i**2 - 1/150*i**5 + 0*i + 0 + 0*i**4. Determine h so that o(h) = 0.
0
Let b be 0 + (4 - 1) + -2. Suppose 2*j + 5*o - 11 = 0, 0*o = j - 2*o - b. Factor -2/3*t**2 + 2/3*t**j - 2/3*t + 2/3*t**4 + 0.
2*t*(t - 1)*(t + 1)**2/3
Let w(u) = -u + 9. Let k be w(7). Suppose -k*b = -3 - 7. Suppose -h**5 + 3*h**b - h**4 - 2*h**2 - 5*h**4 + 6*h**3 = 0. Calculate h.
0, 1
Let f(y) be the second derivative of -y**6/60 + y**5/20 - 27*y. Factor f(t).
-t**3*(t - 2)/2
Let y be 224/128 + (-1)/(-4). Let o(z) be the second derivative of 0*z**4 + 4*z + 0*z**y + 1/80*z**5 + 0 - 1/24*z**3. Factor o(m).
m*(m - 1)*(m + 1)/4
Let q(y) = -y**2 + 4*y + 2. Let l be q(4). Let k(v) be the second derivative of -2*v - 1/6*v**3 + 0 + 0*v**l + 1/3*v**4. Find w, given that k(w) = 0.
0, 1/4
Let u be 260/15 + -7 + -9. Suppose 0 + 0*z**2 - u*z**3 + 4/3*z = 0. Calculate z.
-1, 0, 1
Factor 12/5*u**3 + 2/5*u + 0 + 4/5*u**4 + 9/5*u**2.
u*(u + 2)*(2*u + 1)**2/5
Suppose -5*h + 42 = -0*r + 3*r, r = -2*h + 15. Suppose 4*u = r + 3. Suppose u*z**2 - 11*z**2 + z + 7*z**2 = 0. Calculate z.
0, 1
Let g = -3/142 + 157/710. Suppose 0 - 1/5*j**4 - 3/5*j**2 + g*j + 3/5*j**3 = 0. What is j?
0, 1
Let f = -649/7 + 93. Determine a, given that 0 + 2/7*a + f*a**3 - 4/7*a**2 = 0.
0, 1
Let y(s) be the third derivative of s**10/75600 - s**8/10080 - s**5/30 - s**2. Let u(w) be the third derivative of y(w). Factor u(z).
2*z**2*(z - 1)*(z + 1)
Let k(w) = -1 + 3*w + 2*w - 4*w - 2. Let n be k(5). Factor -5/2*b - 1/2 - n*b**2.
-(b + 1)*(4*b + 1)/2
Suppose y = -o + 5 - 4, -2*o + 2*y = -10. Let v(w) be the second derivative of 1/15*w**o - 1/30*w**4 + w + 0 + 0*w**2. Solve v(q) = 0 for q.
0, 1
Suppose 0 = -4*k + m - 6*m, -2*m = 0. Let f(i) be the first derivative of 2 + 4/21*i**3 + 1/14*i**4 + k*i + 1/7*i**2. Find t, given that f(t) = 0.
-1, 0
Let y(c) be the first derivative of 2*c**5/45 - c**4/9 - 2*c**3/9 + 4*c**2/9 + 8*c/9 - 8. Factor y(i).
2*(i - 2)**2*(i + 1)**2/9
Let j = 13 - 8. Let i(x) = -x**2 + 5*x + 2. Let m be i(j). Factor -2*y**4 + 2*y**4 + y**2 - m*y**3 + y**4.
y**2*(y - 1)**2
Let d(g) = g**5 - g**4 + g**3 - g**2. Let y(f) = 7*f**5 + 12*f**4 + 19*f**3 - 22*f**2. Let v(r) = r + 11. Let p be v(-7). Let u(b) = p*d(b) - y(b). Factor u(j).
-j**2*(j + 3)**2*(3*j - 2)
Let u(m) be the second derivative of m**7/14 - 2*m**6/5 + 3*m**5/4 - m**4/2 - 21*m. Factor u(k).
3*k**2*(k - 2)*(k - 1)**2
Let v = -43 - -49. Let x be ((-2)/30)/(v/(-20)). Factor 0*p**2 + 0*p + x*p**5 + 4/9*p**4 + 0 + 0*p**3.
2*p**4*(p + 2)/9
Let t(k) be the third derivative of -1/150*k**5 - 1/150*k**6 + 0*k**4 - 1/525*k**7 + 0*k**3 - 2*k**2 + 0 + 0*k. Determine r, given that t(r) = 0.
-1, 0
Let l(q) = q**2 + 12*q + 11. Let p be l(-11). Factor p*b + 0*b**2 + 0 - 1/3*b**5 - 2/3*b**4 - 1/3*b**3.
-b**3*(b + 1)**2/3
Let b(v) = -4*v**5 + 24*v**4 - 14*v. Let s be (-3)/4 + 3/4. Let x(g) = -6*g**4 + s*g**5 + g**5 + 3*g + g**4. Let p(t) = -3*b(t) - 14*x(t). Factor p(k).
-2*k**4*(k + 1)
Let c(w) be the third derivative of -5*w**8/336 + w**6/8 + w**5/6 - 5*w**2. Solve c(n) = 0 for n.
-1, 0, 2
Let z(m) = -m + 13. Let g be z(6). Let s(v) = -v**3 - 6*v**2 + v - 8. Let w(c) = c**3 + 5*c**2 - c + 7. Let t(u) = g*w(u) + 6*s(u). Solve t(d) = 0 for d.
-1, 1
Factor 10/3*l - 4*l**2 + 2/3*l**3 + 0.
2*l*(l - 5)*(l - 1)/3
What is b in -2/9*b**3 + 2/9*b + 0 + 0*b**2 = 0?
-1, 0, 1
Let t = 313 + -158. Factor -4 + a**2 - 155*a + t*a.
(a - 2)*(a + 2)
Let t(h) be the first derivative of -2/11*h**4 + 12/11*h**2 - 18/11*h + 4/33*h**3 + 4 - 2/55*h**5. Let t(x) = 0. What is x?
-3, 1
Let -4/7*y + 6/7 - 2/7*y**2 = 0. Calculate y.
-3, 1
Suppose -2*z + 4*z - 8 = 0. Let k(o) be the second derivative of 1/42*o**z + 1/7*o**2 + 0 + o - 2/21*o**3. Factor k(y).
2*(y - 1)**2/7
Let b(w) be the second derivative of -w**7/840 - w**6/360 + w**5/120 + w**4/24 - w**3/3 + w. Let a(y) be the second derivative of b(y). Factor a(v).
-(v - 1)*(v + 1)**2
Suppose 4*x + 3*x = -x. Find t, given that 1/4*t - t**4 + 1/4*t**5 + x - t**2 + 3/2*t**3 = 0.
0, 1
Let d = 1/389 + 359/11670. Let y(c) be the second derivative of -1/63*c**7 + 0*c**3 + 0*c**2 + 0*c**4 + 0*c**6 + d*c**5 - 2*c + 0. Solve y(h) = 0.
-1, 0, 1
Let k(h) = -64*h**3 - 105*h**2 - 41*h - 11. Let m(r) = 13*r**3 + 21*r**2 + 8*r + 2. Let j(i) = -2*k(i) - 11*m(i). Let j(w) = 0. What is w?
-1, -2/5, 0
Let z(j) be the second derivative of j**9/45360 + j**8/6720 + j**7/3780 - j**4/2 + 4*j. Let s(r) be the third derivative of z(r). Solve s(x) = 0 for x.
-2, -1, 0
Let r(c) be the third derivative of -1/1512*c**8 - 2/945*c**7 + 0 + 0*c + 0*c**5 + 2*c**2 + 0*c**4 - 1/540*c**6 + 0*c**3. Factor r(l).
-2*l**3*(l + 1)**2/9
Let k(r) be the first derivative of r**4/14 + 2*r**3/7 - 4*r**2/7 - 23. Factor k(v).
2*v*(v - 1)*(v + 4)/7
Let k(c) be the second derivative of 0*c**5 - 3*c + 0*c**4 + 0 + 1/30*c**6 + 0*c**2 + 0*c**3. Suppose k(h) = 0. Calculate h.
0
Determine i, given that 3/4*i + 9/4 - 5/4*i**2 + 1/4*i**3 = 0.
-1, 3
Factor 2*h**2 - 2*h**3 + 81*h - 81*h.
-2*h**2*(h - 1)
Let m(y) be the first derivative of 4*y**5/5 + 12*y**4 + 140*y**3/3 - 24*y**2 - 144*y + 11. Factor m(d).
4*(d - 1)*(d + 1)*(d + 6)**2
Let p = 10 - 10. Let q(y) be the second derivative of -1/18*y**3 + 3*y + p + 1/72*y**4 + 1/12*y**2. Suppose q(t) = 0. What is t?
1
Let v = 7 - 4. Let r**4 + 4 + 2*r**2 + 4*r + v*r**3 - 3*r**2 - 5*r**3 - 2*r**2 = 0. Calculate r.
-1, 2
Let k(f) = -4 + 4*f - 4*f + 9*f**2 - 7*f - 3*f**2. Let v(q) = -q**2 + q + 1. Let s(z) = 2*k(z) + 10*v(z). Determine x so that s(x) = 0.
1
Factor -3/4*a**3 - 3/4*a**2 + 3/4 + 3/4*a.
-3*(a - 1)*(a + 1)**2/4
Let h(n) be the second derivative of -27*n**5/20 + 11*n**4/4 + 8*n**3 - 6*n**2 + 9*n. Determine k, given that h(k) = 0.
-1, 2/9, 2
Let r(b) = b**2 - 2. Let i be r(2). Suppose i*t - 3 = t. Factor -y**3 - 4*y + 0*y**t - 2*y**2 + 3*y.
-y*(y + 1)**2
Factor -3*w**2 + w**3 + 16*w - 18*w + 4*w**2 - 2*w**2.
w*(w - 2)*(w + 1)
Let j(v) = -v**3 + 12*v**2 - 8*v - 13. Let u be j(11). Suppose 0 = d + 2*r - 4*r - 10, 4*r + u = 0. Let -4/7 - 2/7*m**3 + d*m**2 + 6/7*m = 0. What is m?
-2, 1
Find v, given that -5*v**2 - 2*v**2 + 3*v - 7*v**2 + 2*v**2 + 6 - 9*v**3 = 0.
-1, 2/3
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