ne n, given that y(n) = 0.
0, 2
Let n(h) be the second derivative of 2*h**2 + 2/3*h**3 + 1/12*h**4 + 3*h + 0. Factor n(b).
(b + 2)**2
Solve 7/4*t**2 + 1/4*t**4 + 0 + 3/4*t + 5/4*t**3 = 0.
-3, -1, 0
Let i(m) = 27*m**2 + 37*m + 6. Let w(p) = 27*p**2 + 35*p + 5. Let z(n) = 3*i(n) - 4*w(n). What is h in z(h) = 0?
-1, -2/27
Solve 5/3*t**2 - 16/3*t**3 + 2/3*t + 3*t**4 + 0 = 0.
-2/9, 0, 1
Let i(v) be the first derivative of v**5 - 15*v**4/4 + 5*v**3 - 5*v**2/2 + 5. Factor i(s).
5*s*(s - 1)**3
Let z be 2/(-70) - 57/(-133). Find u such that 2/5 + 0*u - z*u**2 = 0.
-1, 1
Let k(b) be the third derivative of 0*b**4 + 0 - 1/90*b**6 - 1/180*b**5 - b**2 + 0*b**3 + 0*b. Factor k(n).
-n**2*(4*n + 1)/3
Factor 12*c**3 + 24*c - 8 - 6*c**2 + 0 - 20*c**2 - 2*c**4.
-2*(c - 2)**2*(c - 1)**2
Let i(j) = 2*j**4 - 3*j**3 + j**2 + 3*j. Let t(p) be the second derivative of -p**6/30 + p**5/20 - p**3/6 + p. Let y(w) = -2*i(w) - 6*t(w). Factor y(m).
2*m**2*(m - 1)*(m + 1)
Let k = 17 - 12. Suppose -5*v + 20 = k*o, v - 1 = 2*o - 3. Suppose -4/3*i**3 + 1/3 - 2*i + 3*i**o = 0. What is i?
1/4, 1
Factor 4*j**5 - 7*j**4 + 16*j**4 - 3*j**2 + 2*j**5.
3*j**2*(j + 1)**2*(2*j - 1)
Solve -18*n**4 + 0*n**5 - 5*n - 12*n**3 + 12*n**2 - 3*n**5 + 6*n**2 + 20*n = 0.
-5, -1, 0, 1
Suppose 2*x + 2*h = 7*h + 164, 4*h - 344 = -5*x. Suppose 2*j - 2 = 2*m - 0, m = 1. Find v, given that -87*v**j - x*v + 450*v**3 + 16 - 29*v**2 + 16*v**2 = 0.
-2/5, 2/9, 2/5
Suppose 7/2*s**2 + 9/2 + 1/2*s**3 + 15/2*s = 0. Calculate s.
-3, -1
Suppose 0 = 5*s + 12 - 32. Suppose 3*k = -3*r + 15, -9 = -5*k + r + s. Factor 0 - 2/3*d**k + 0*d + 2/3*d**4 - 4/3*d**2.
2*d**2*(d - 2)*(d + 1)/3
Let a(z) be the first derivative of -1/3*z**3 + 3*z + 0*z**4 + 1/30*z**6 - 1/2*z**2 + 1/10*z**5 - 1. Let q(t) be the first derivative of a(t). Factor q(j).
(j - 1)*(j + 1)**3
Let f(v) be the second derivative of -v**7/2520 + v**6/360 - v**5/120 - v**4/4 - 3*v. Let q(x) be the third derivative of f(x). Factor q(i).
-(i - 1)**2
Let k(r) be the third derivative of -r**8/168 - r**7/21 - 2*r**6/15 - 2*r**5/15 + 15*r**2. Factor k(v).
-2*v**2*(v + 1)*(v + 2)**2
Let u(o) = -4*o**4 - 3*o**3 - o**2 + 13*o + 5. Let h(a) = -9*a + 18*a - 3*a - 2*a**4 + 2 - 2*a**3. Let k(q) = -5*h(q) + 2*u(q). Factor k(f).
2*f*(f - 1)*(f + 1)*(f + 2)
Let k(w) = -w**3 - w**2 + w - 25. Let p be k(0). Let i = p + 177/7. Factor -i*s**2 + 0*s**3 + 0*s + 2/7*s**4 + 0.
2*s**2*(s - 1)*(s + 1)/7
Let c(f) be the second derivative of -f**6/30 - f**5/5 - 5*f**4/12 - f**3/3 - 3*f. Let c(d) = 0. What is d?
-2, -1, 0
Let n(c) = 5*c**3 + 18*c**2 - 19*c - 7. Let k(a) = -3*a**3 - 12*a**2 + 13*a + 5. Let h(l) = -7*k(l) - 5*n(l). Solve h(x) = 0 for x.
-2, 0, 1/2
Let p(x) be the third derivative of -1/4*x**3 - 4*x**2 + 0*x + 0*x**4 + 1/40*x**5 + 0. Factor p(g).
3*(g - 1)*(g + 1)/2
Let x(s) be the third derivative of s**8/840 + s**7/420 - s**3 - 7*s**2. Let q(j) be the first derivative of x(j). Find d, given that q(d) = 0.
-1, 0
Let k(x) be the first derivative of x**5/60 + x**4/6 + 2*x**3/3 + 4*x**2/3 - 3*x + 4. Let y(f) be the first derivative of k(f). Factor y(b).
(b + 2)**3/3
Suppose -w = 2*d, 5*w - 6*d = -2*d + 28. Suppose 3*l**3 + l**3 + l**2 + 4*l**4 - 5*l**2 - w*l**5 = 0. What is l?
-1, 0, 1
Suppose -4/5*r**2 + 3/5*r + 1/5*r**3 + 0 = 0. What is r?
0, 1, 3
Suppose 2*c + 5*w - 35 = -0*c, 5*w - 25 = 0. Suppose p + c = 2*p. Factor -m**4 + 4*m**2 - m**p + m**3 + 2*m**4 - 5*m**2.
-m**2*(m - 1)**2*(m + 1)
Suppose 0 = 3*d + n - 7, -3 = -4*n + n. Let -1/9*j**d + 4/9*j - 1/3 = 0. What is j?
1, 3
Let v(u) = 2*u**4 - 2*u**2 - 3*u - 3. Let i(o) = 5*o**4 - 5*o**2 - 7*o - 7. Let x(p) = 3*i(p) - 7*v(p). Suppose x(b) = 0. What is b?
-1, 0, 1
Let q(g) be the third derivative of -1/210*g**5 - 1/42*g**4 - 1/21*g**3 + 0 - 4*g**2 + 0*g. Factor q(n).
-2*(n + 1)**2/7
Let g(h) be the first derivative of -1/9*h**3 + 1/3*h**2 + 7 + 0*h. Suppose g(k) = 0. Calculate k.
0, 2
Let s(v) be the second derivative of 1/6*v**3 - 3*v - 1/40*v**5 - 1/16*v**4 + 0 + 1/120*v**6 + 1/2*v**2. Factor s(g).
(g - 2)**2*(g + 1)**2/4
Suppose 4*l + 2*w = 12, -3 - 3 = -4*l + w. Let y(a) be the second derivative of -a + 0 - 1/30*a**4 - 2/15*a**3 - 1/5*a**l. Find n, given that y(n) = 0.
-1
Let o(i) be the first derivative of -1/2*i**2 + 1/120*i**4 + 1/600*i**6 + 0*i**3 - 1 - 1/150*i**5 + 0*i. Let a(k) be the second derivative of o(k). Factor a(d).
d*(d - 1)**2/5
Let u(i) be the first derivative of -i**4/22 - 2*i**3/33 + i**2/11 + 2*i/11 + 12. Factor u(o).
-2*(o - 1)*(o + 1)**2/11
Determine w so that 0*w + 22/3*w**4 - 5/3*w**5 + 0 - 28/3*w**3 + 8/3*w**2 = 0.
0, 2/5, 2
Let u(y) be the third derivative of -y**5/15 + y**4/3 - 2*y**3/3 + 11*y**2. Factor u(m).
-4*(m - 1)**2
Let n = 13 + 13. Factor -7*x**2 - 16*x**2 + n*x**2.
3*x**2
Let h(k) be the third derivative of k**5/90 - 2*k**4/9 + 16*k**3/9 - 30*k**2. Determine z, given that h(z) = 0.
4
Let l(s) be the second derivative of -1/2*s**3 + 2*s + 1/12*s**4 + s**2 + 0. Let l(q) = 0. What is q?
1, 2
Suppose -16 = 4*n - 8*n. Suppose 2/7*q**n - 6/7*q**3 - 4/7 + 6/7*q + 2/7*q**2 = 0. Calculate q.
-1, 1, 2
Let g(b) be the first derivative of 0*b - 1 + 1/15*b**5 + 0*b**4 + 0*b**2 + 0*b**3. Solve g(c) = 0.
0
Factor 4*w**4 + 17*w**2 - 2*w + 16*w**2 + 8*w**3 - 34*w**2.
w*(w + 2)*(2*w - 1)*(2*w + 1)
Let p(t) be the second derivative of -1/2*t**4 - t + 0 - 1/2*t**2 - 1/30*t**6 - 1/5*t**5 - 2/3*t**3. Determine x so that p(x) = 0.
-1
Let c = -176 + 178. Factor -1/4*h**c - 1 + h.
-(h - 2)**2/4
Let j(h) be the second derivative of -h**8/7560 + h**7/3780 + h**6/1620 - h**5/540 - 2*h**3/3 + 2*h. Let c(t) be the second derivative of j(t). Factor c(m).
-2*m*(m - 1)**2*(m + 1)/9
Factor -48*c**2 + 47*c**2 + 0*c**3 + c**3.
c**2*(c - 1)
Suppose -14 + 11 = t + 3*x, -t = -5*x - 5. Suppose 0*l + 2/3*l**4 + 0*l**3 - 2/3*l**2 + t = 0. Calculate l.
-1, 0, 1
Let g(a) = 7*a**4 - 5*a**3 + 3*a + 3. Let w(h) = 14*h**4 - 9*h**3 + 5*h + 5. Let i(p) = -5*g(p) + 3*w(p). Find u such that i(u) = 0.
0, 2/7
Let b(r) be the second derivative of 0*r**2 - 1/20*r**5 + 0 + 1/12*r**4 - 3*r + 0*r**3. Determine m, given that b(m) = 0.
0, 1
Determine b so that -2/11*b**5 + 0*b + 0 - 6/11*b**3 - 2/11*b**2 - 6/11*b**4 = 0.
-1, 0
Let p be 2*(3 + (-2)/4). Suppose 4*x - p - 7 = 0. Find d such that -x*d**5 - d**5 + 11*d**3 - 10*d**3 + 3*d**5 = 0.
-1, 0, 1
Let z(r) be the third derivative of -3*r**7/140 + r**6/20 + r**5/8 - r**4/8 + 29*r**2. Solve z(y) = 0 for y.
-1, 0, 1/3, 2
Let c(t) = -2*t**4 - t**3 - t. Let k(g) = -10*g**4 + 3*g**3 + 14*g**2 + 3*g + 2. Let d(o) = -6*c(o) + k(o). Let d(u) = 0. Calculate u.
-2, -1, -1/2
Let w(s) be the second derivative of s**10/9072 - s**9/2835 + s**8/10080 + s**7/1890 + s**4/3 - 2*s. Let z(f) be the third derivative of w(f). Factor z(u).
2*u**2*(u - 1)**2*(5*u + 2)/3
Let h(u) be the first derivative of -43/10*u**5 + 7/3*u**6 + u - 11/8*u**4 + 41/6*u**3 - 1 - 17/4*u**2. Solve h(f) = 0 for f.
-1, 1/4, 2/7, 1
Find u, given that -14*u + u**2 - 10*u + 4167 - 4023 = 0.
12
Let z(g) be the first derivative of -g**5/60 - g**4/60 + 3*g**2/2 - 1. Let n(d) be the second derivative of z(d). Factor n(m).
-m*(5*m + 2)/5
Let f be (1/(-12))/(-7 - 180/(-27)). Factor 0*l - f + 1/4*l**2.
(l - 1)*(l + 1)/4
Factor -383*n**2 + 8*n**4 - 8*n**3 + 383*n**2 - 2*n**5.
-2*n**3*(n - 2)**2
Let a(h) be the first derivative of -h**5/5 + h**4/2 + h**3/3 - h**2 + 4. Find q, given that a(q) = 0.
-1, 0, 1, 2
Let g(q) = q**2 + 5*q - 4. Let w be g(-6). Suppose w*a + a = 0. Factor -4/3*x**3 + 2/3*x**2 + 2/3*x**4 + 0 + a*x.
2*x**2*(x - 1)**2/3
Let o(d) be the first derivative of 1/5*d**5 + 8 + 3/2*d**2 - 3/4*d**4 - 2*d + 1/3*d**3. Let o(i) = 0. What is i?
-1, 1, 2
Let c(s) be the second derivative of 1/54*s**4 + 0*s**3 - 3*s + 0*s**2 + 0 - 1/30*s**5 - 1/189*s**7 + 1/45*s**6. Factor c(u).
-2*u**2*(u - 1)**3/9
Let z(x) be the third derivative of -x**8/294 - 13*x**7/735 - x**6/28 - x**5/30 - x**4/84 - 9*x**2. Let z(g) = 0. What is g?
-1, -1/4, 0
Let s be (-280)/(-196)*(-14)/(-4). Find j, given that -2/5*j**2 + 1/5*j - 1/5*j**s + 0 + 2/5*j**4 + 0*j**3 = 0.
-1, 0, 1
Suppose -k = -6 - 2. Suppose -5*x + x = -k. Factor 2*s**2 - s**5 + 1 + 3*s - x*s**3 + s**4 - 4*s**4 + 0*s**4.
-(s - 1)*(s + 1)**4
Factor 2*n**4 + 14*n - 6*n**3 + 14*n**3 + 18*n**2 + 4 + 2*n**