f -1/42*g**4 + 4*g - 1/21*g**3 + 0 + 2/7*g**2. Determine a so that q(a) = 0.
-2, 1
Let j(m) = m + 11. Let w be j(-8). Factor z**3 - 11*z**5 + 2*z**w + 12*z**5 + z - 5*z**3.
z*(z - 1)**2*(z + 1)**2
Suppose 0 - 27/2*c**4 + 0*c - 9*c**3 - 3/2*c**2 - 6*c**5 = 0. Calculate c.
-1, -1/4, 0
Let z(a) = 4*a**2 + 10*a + 4. Let y(x) = x**2 + x + 1. Let m(u) = 6*y(u) - z(u). Factor m(h).
2*(h - 1)**2
Let a = 5 - 0. Let v = 9 - 6. Factor 3*g**v + 5*g**4 - g**2 + g**a + 2*g**2 - 2*g**4.
g**2*(g + 1)**3
Let x(z) be the second derivative of -z**7/735 - z**6/1260 + z**5/105 + z**4/84 - z**3/6 - z. Let d(m) be the second derivative of x(m). What is p in d(p) = 0?
-1, -1/4, 1
Let q(g) be the third derivative of g**5/100 - 7*g**4/40 + g**3 + 13*g**2. Factor q(x).
3*(x - 5)*(x - 2)/5
Let w(r) be the third derivative of r**5/20 + 3*r**4/8 - 2*r**3 - 3*r**2 - 15*r. Determine t so that w(t) = 0.
-4, 1
Let y = 31/240 - -3/80. Factor 1/3 - 1/6*j**2 + y*j.
-(j - 2)*(j + 1)/6
Let p(d) = d**3 + 4*d**2 + 2*d + 1. Let s be p(-3). Suppose 0 = s*b + h - 7, 5*b = -2*h - 0 + 8. Factor 0*a**b + 3*a**2 - a**2 + 2*a**3 - 2 - 2*a.
2*(a - 1)*(a + 1)**2
Let k(t) be the third derivative of -t**8/264 - 23*t**7/1155 - 13*t**6/660 + 19*t**5/330 + 5*t**4/33 + 4*t**3/33 + 15*t**2. Determine v, given that k(v) = 0.
-2, -1, -2/7, 1
Let d(j) be the first derivative of -j**4/16 + j**3/6 - j**2/8 - 13. Factor d(o).
-o*(o - 1)**2/4
Let x = 83261/90 + -1849/2. Let u = x - 2/9. Factor -u*n**3 - 8/5*n + 8/5*n**2 + 0.
-2*n*(n - 2)**2/5
Let s(r) be the first derivative of -r**8/1680 + r**7/840 - r**3 + 3. Let k(q) be the third derivative of s(q). Find j, given that k(j) = 0.
0, 1
Solve -13*w**5 - 15*w**4 - 6*w + 4*w**5 + 10*w**3 + 15*w**2 - 2*w**3 + 7*w**3 = 0.
-2, -1, 0, 1/3, 1
Let w(l) be the third derivative of l**5/15 + 5*l**4/18 + 4*l**3/9 + 8*l**2. Determine j, given that w(j) = 0.
-1, -2/3
Suppose -4*u = -3*r + 14, -25 + 7 = -5*r + 4*u. What is d in -2 - 4*d**2 - d**r - 4*d + 3*d**2 = 0?
-1
Let d(m) be the third derivative of -m**8/84 - 4*m**7/105 + 2*m**5/15 + m**4/6 - 8*m**2. Factor d(s).
-4*s*(s - 1)*(s + 1)**3
Factor 0*j - 4/7*j**2 + 0 - 2/7*j**3.
-2*j**2*(j + 2)/7
Let m(y) be the first derivative of y**8/840 - y**7/210 + y**6/180 + 2*y**3 + 4. Let o(s) be the third derivative of m(s). Let o(c) = 0. What is c?
0, 1
Suppose 4*s - 14 = -v, 5*v - 2 + 4 = 4*s. Let 4*n**2 - 1 - 4*n**4 + 1 + n**3 + 5*n**s - 6*n**5 = 0. What is n?
-1, -2/3, 0, 1
Factor 25*j**3 - 10*j**3 - 12*j**3.
3*j**3
Let w(a) be the second derivative of -a**7/168 - a**6/120 + 3*a**5/40 + a**4/12 - a**3/3 + 14*a. Suppose w(g) = 0. Calculate g.
-2, 0, 1, 2
Let g(f) be the second derivative of -f**5/70 - 5*f**4/42 - 8*f**3/21 - 4*f**2/7 + 9*f. Determine w, given that g(w) = 0.
-2, -1
Factor 7 - 4*j**3 - 32*j + 10 + 20*j**2 - 1.
-4*(j - 2)**2*(j - 1)
Let b(h) be the second derivative of h**4/20 + 3*h**3/5 + 27*h**2/10 - 10*h. Factor b(f).
3*(f + 3)**2/5
Let m(y) be the third derivative of 1/96*y**4 + 1/24*y**3 + 0*y + 2*y**2 - 1/240*y**5 + 0 - 1/480*y**6. Solve m(t) = 0.
-1, 1
Let z(a) be the second derivative of a**4/12 - a**2/2 + 7*a. Factor z(u).
(u - 1)*(u + 1)
Factor 0 + 345/4*l**4 - 1287/8*l**3 - 75/8*l**5 - 345/2*l**2 - 75/2*l.
-3*l*(l - 5)**2*(5*l + 2)**2/8
Let g(v) be the first derivative of 2*v + 0*v**3 + 1 + 1/12*v**4 - 1/2*v**2. Let x(h) be the first derivative of g(h). Factor x(u).
(u - 1)*(u + 1)
Let i(p) be the second derivative of -5*p**7/21 + p**6/2 + 2*p**5 - 25*p**4/12 - 10*p**3 - 10*p**2 - 4*p. Determine q so that i(q) = 0.
-1, -1/2, 2
Let d(c) be the first derivative of c**6/2 + 9*c**5/5 + 3*c**4/4 - 3*c**3 - 3*c**2 + 12. Solve d(q) = 0 for q.
-2, -1, 0, 1
Let b(j) be the second derivative of -j**6/1080 - j**5/180 + j**3/3 - 2*j. Let o(k) be the second derivative of b(k). Factor o(x).
-x*(x + 2)/3
Let b(p) = -p + 1. Let x be b(-2). Find q, given that 0*q + q**4 + 4*q**5 - 6*q - 12*q**x + 4*q - 11*q**2 = 0.
-1, -1/4, 0, 2
Let q = 27 - 20. Let n(a) be the third derivative of 0 + 1/240*a**6 + 1/120*a**q - a**2 + 0*a + 0*a**3 - 7/240*a**5 - 1/48*a**4. Find u such that n(u) = 0.
-1, -2/7, 0, 1
Suppose 2*i + 7*r - 4 = 3*r, 0 = 3*i + 3*r - 6. Let k be (12/(-3))/i*-1. Let 0*q + 1/2*q**k - 1/2 = 0. What is q?
-1, 1
Let u(p) be the first derivative of 2/7*p**2 + 2/21*p**3 - 1 + 2/7*p. Factor u(j).
2*(j + 1)**2/7
Let j be 777/9 - 6/(-9). Let p be -3 + (j/27 - 0). Factor 2/9*w**2 + 0 + p*w**3 + 0*w.
2*w**2*(w + 1)/9
Suppose 18*s**2 + 3*s**4 + 14*s**2 - 14*s**2 + 311*s**3 - 332*s**3 = 0. Calculate s.
0, 1, 6
Let v(y) be the first derivative of 2*y**6/21 - 3*y**4/7 + 8*y**3/21 + 1. Factor v(o).
4*o**2*(o - 1)**2*(o + 2)/7
Let b(r) be the first derivative of r**4/8 - 3*r**3/2 + 27*r**2/4 - 27*r/2 - 2. Solve b(x) = 0 for x.
3
Let o(t) be the first derivative of 0*t + t**3 + 1 - 3/5*t**5 + 0*t**4 + 3/4*t**2 - 1/4*t**6. Factor o(m).
-3*m*(m - 1)*(m + 1)**3/2
Let -6/17*h + 2/17*h**2 - 8/17 = 0. What is h?
-1, 4
Let z = -5/16 + 57/80. Let w(q) be the first derivative of -2 - 1/5*q**2 + 1/10*q**4 + z*q - 2/15*q**3. What is r in w(r) = 0?
-1, 1
Let a(d) be the first derivative of -d**6/60 + d**5/30 + d**4/12 - d**3/3 - 3*d**2/2 - 2. Let z(g) be the second derivative of a(g). Factor z(u).
-2*(u - 1)**2*(u + 1)
Suppose w - 2*t = 1, -2*w - 3*w - 4*t + 33 = 0. Suppose 5 = -3*v + 5*h - 4, 15 = w*h. Factor v*u**2 - 12 + 12 + 2*u.
2*u*(u + 1)
Let k(g) = -g**3 + g. Let t be k(-1). Factor r**2 + 2*r**3 - 3*r**3 + t*r**2.
-r**2*(r - 1)
Let l be 39/(-364)*(-2)/36*7. Let x(j) be the second derivative of 1/9*j**4 - 1/9*j**3 + 1/180*j**6 - l*j**5 + 2*j + 0*j**2 + 0. Solve x(o) = 0 for o.
0, 1, 2
Let z(y) be the third derivative of y**6/24 - y**5/4 - 12*y**2. Suppose z(x) = 0. Calculate x.
0, 3
Let u = -12 + 20. Suppose u*s - 3*s - 2*l - 6 = 0, -12 = -5*s - l. Factor -1/4 + 1/4*y**3 - 1/4*y + 1/4*y**s.
(y - 1)*(y + 1)**2/4
Let n(x) be the first derivative of -2*x**5/15 + 5*x**4/6 + 14*x**3/9 - 5*x**2/3 - 4*x + 21. Suppose n(v) = 0. What is v?
-1, 1, 6
Let j be (-2)/10 - 204/(-720). Let z(q) be the first derivative of j*q**3 - 2 + 0*q + 1/8*q**2. Factor z(u).
u*(u + 1)/4
Factor 2/5*m**4 - 2*m**2 - 6/5*m**3 + 6/5*m + 8/5.
2*(m - 4)*(m - 1)*(m + 1)**2/5
Let d(n) be the first derivative of 1/5*n - 1/15*n**3 - 1/10*n**2 - 5 + 1/20*n**4. Solve d(s) = 0.
-1, 1
Suppose 5*d = -3*v + 11, 2*v = 6 - 2. Let n = 5 - d. Suppose 0*t + 0 + t**3 - 1/2*t**n - 1/2*t**2 = 0. Calculate t.
0, 1
Let f(d) be the second derivative of 0 - 1/2*d**3 + d - 1/12*d**4 - d**2. Factor f(v).
-(v + 1)*(v + 2)
Suppose 8 - 2 = -3*w - 3*d, 0 = -5*w - 2*d + 5. Factor 3 + 3/4*c**2 - w*c.
3*(c - 2)**2/4
Let g(b) be the second derivative of b**6/720 + b**5/40 + 3*b**4/16 + b**3 + b. Let o(d) be the second derivative of g(d). Factor o(t).
(t + 3)**2/2
Let y(p) = p + 7. Let t be y(-5). Determine r, given that 12*r**3 + 50*r**2 - 38*r**t + 6 - 2*r - 19*r = 0.
-2, 1/2
Let m be ((3/2)/(-3))/(2/(-8)). Factor 1/2*f**4 + 0 + 1/2*f**3 + 0*f - f**m.
f**2*(f - 1)*(f + 2)/2
Let z(p) = p**2 + 2. Let n(k) = -k**2 + k - 2. Let h(b) = -6*n(b) - 4*z(b). Factor h(s).
2*(s - 2)*(s - 1)
Determine q, given that -q**4 - 7*q**5 - q**4 - 2*q**4 + 2*q**4 + 7*q**3 + 2*q**2 = 0.
-1, -2/7, 0, 1
Solve 16/3*x**4 - 52/3*x**3 - 28/3*x + 4/3 + 20*x**2 = 0.
1/4, 1
Determine t so that -3*t + 3/4*t**2 + 9/4 = 0.
1, 3
Let z = -5 - -6. Let f(p) = p**5 - p**4 - p**3 - p**2 + p - 1. Let h(m) = 6*m**5 + 20*m**4 + 6*m**3 - 4*m + 4. Let g(k) = z*h(k) + 4*f(k). Factor g(u).
2*u**2*(u + 1)**2*(5*u - 2)
Let p(m) be the first derivative of 2/11*m - 1/11*m**2 + 1 + 1/22*m**4 - 2/33*m**3. What is v in p(v) = 0?
-1, 1
Let c(i) be the third derivative of -i**7/1365 - i**6/780 + i**5/195 - 13*i**2. Factor c(z).
-2*z**2*(z - 1)*(z + 2)/13
Let g(w) = 5*w**5 - 3*w**4 + 3*w**2 + 3. Let n(a) = -40*a**5 + 25*a**4 - 25*a**2 - 25. Let p(h) = -25*g(h) - 3*n(h). Let p(u) = 0. Calculate u.
0
Let x(m) = -2*m**2 - 14*m - 2. Let i = -6 - -9. Let r = 4 - i. Let d(f) = f - 1. Let y(h) = r*x(h) + 6*d(h). Factor y(u).
-2*(u + 2)**2
Let m be 62/220 - (-32)/(-176). Let y(k) be the second derivative of 1/150*k**6 + 0*k**3 - 1/30*k**4 + 4*k + 0 + 0*k**5 + m*k**2. Suppose y(x) = 0. What is x?
-1, 1
Let a(r) be the third derivative of -1/12*r**4 + 0*r**3 + 0