) be the first derivative of -h**7/1050 - h**6/200 + h**5/75 + 9*h**2/2 + 2. Let d(t) be the second derivative of p(t). Suppose d(y) = 0. What is y?
-4, 0, 1
Let z(n) be the first derivative of -4 - 2/9*n**2 + 2/9*n + 2/27*n**3. Let z(d) = 0. Calculate d.
1
Let r be 26/143 + ((-42)/(-11))/1. Let u(w) be the second derivative of 0*w**2 + 0*w**3 + 1/6*w**r + 0 + w. Solve u(p) = 0 for p.
0
Let x(l) be the first derivative of 1/6*l**3 + 0*l**2 - 3 + 1/16*l**4 + 0*l. Suppose x(t) = 0. What is t?
-2, 0
Suppose -4*j = -0 - 8. Suppose k - 41 + 18 = -5*u, 3*k - 3*u + 3 = 0. Factor s**5 + 4*s**4 - s**4 - 3*s**k - 3*s**2 + j*s**5.
3*s**2*(s - 1)*(s + 1)**2
Let p = 4 + 0. Suppose -2 - p = -3*c. Solve 0 - 2/7*j**4 - 2/7*j**3 + 2/7*j + 2/7*j**c = 0 for j.
-1, 0, 1
Let i(q) = -q**5 + q**4 + q**3 + q**2 + 1. Let y(o) = -4*o**5 - 6*o**4 - o**3 - o**2 - 1. Let h(g) = -i(g) - y(g). Solve h(k) = 0 for k.
-1, 0
Let v = -5142953/84 - -61227. Let r = -1/28 + v. Find y such that -3*y**3 + 11/3*y**4 + 4*y - y**5 - 7/3*y**2 - r = 0.
-1, 2/3, 1, 2
Factor 14*w + 10*w**2 + w**5 + 7*w**4 + 15*w**2 + 19*w**3 + 2*w + 4.
(w + 1)**3*(w + 2)**2
Let l(d) be the first derivative of 21*d**5/5 + 57*d**4/4 + 15*d**3 + 3*d**2/2 - 6*d - 6. Factor l(g).
3*(g + 1)**3*(7*g - 2)
Let k(p) = -5*p**4 - 13*p**3 + 7*p**2 + p. Let y = 5 - 2. Let x(z) = -4*z**4 + 0*z**4 + z**2 + z**4 - 7*z**3 + y*z**2. Let v(i) = 4*k(i) - 7*x(i). Factor v(q).
q*(q - 2)**2*(q + 1)
Suppose -5*x + 4 = 3*k, x + 0*x - 5*k - 12 = 0. Determine d, given that -1/2*d - 1 + 1/2*d**x = 0.
-1, 2
Let r = 1687/33 + -567/11. Let c = 12/11 + r. Solve 1/3*m + c - 1/3*m**2 = 0 for m.
-1, 2
Let w(o) = 2*o - 37. Let m be w(21). Factor 0 + 0*g - 1/5*g**2 - 1/5*g**m - 3/5*g**4 - 3/5*g**3.
-g**2*(g + 1)**3/5
Let b(l) = l**2 + 3*l - 1. Let r be b(-4). Suppose -1 = -n + 1. Factor 2*s**n - 3*s + 6*s - 4*s - s**r.
-s*(s - 1)**2
Let u = 13 - 6. Determine b so that b - u*b**2 - b + 4*b**3 - 2*b = 0.
-1/4, 0, 2
Let w(p) be the first derivative of 2 + 1/40*p**4 + 3/2*p**2 + 0*p + 0*p**3 - 1/100*p**5. Let t(f) be the second derivative of w(f). Factor t(g).
-3*g*(g - 1)/5
Let n(c) be the third derivative of -1/16*c**4 + 0 + 0*c + 3*c**2 + 1/80*c**5 + 1/8*c**3. Factor n(k).
3*(k - 1)**2/4
Let z(j) = 2*j**4 + 4*j**3 - j + 7. Let x(p) = -7*p**4 - 16*p**3 + p**2 + 5*p - 27. Let s(g) = 6*x(g) + 22*z(g). Factor s(c).
2*(c - 2)**2*(c - 1)*(c + 1)
Let a be (-6 + -4)/(-5) + 1. Let d(l) be the second derivative of 1/60*l**5 + 0 - 1/18*l**a - l + 0*l**2 + 0*l**4. Factor d(u).
u*(u - 1)*(u + 1)/3
Let k(h) be the first derivative of 1 + 0*h**3 + 3/20*h**5 + 3/8*h**4 - 3/4*h**2 - 3/4*h. Solve k(g) = 0 for g.
-1, 1
Let q(i) = -i**2 - 1. Let s(o) = -2*o**4 - 6*o**3 - 8*o**2 + 6*o - 2. Let x(n) = 6*q(n) - s(n). Solve x(r) = 0.
-2, -1, 1
Let b be (-6)/15 - 5016/(-15). Let l be (-4)/(-14) - b/(-56). Factor 0 - c - l*c**3 + 5*c**2.
-c*(5*c - 2)**2/4
Let f(v) = 4*v**4 + 4*v**3 - 12*v**2 - 16*v - 12. Let y(j) = 4*j**4 + 4*j**3 - 12*j**2 - 17*j - 11. Let s(t) = 3*f(t) - 4*y(t). Factor s(o).
-4*(o - 2)*(o + 1)**3
Let o(t) = 4*t**2 - t - 3. Let q(w) = 7*w**2 - 4*w - 8. Let y(z) = -z - 1. Let s(c) = -q(c) + y(c). Let r(d) = 7*o(d) + 3*s(d). Factor r(x).
x*(7*x + 2)
Find u such that -3/5 + 6/5*u**3 - 6/5*u + 0*u**2 + 3/5*u**4 = 0.
-1, 1
Let k(u) be the first derivative of 1/20*u**5 + 0*u**2 - 6 - 1/12*u**3 + 0*u + 0*u**4. Suppose k(q) = 0. What is q?
-1, 0, 1
Let d(t) = -t**4 + t**2 + 1. Let c(h) = -2*h**4 + 30*h**3 - 43*h**2 - 30*h + 42. Let p(k) = c(k) + 3*d(k). Factor p(o).
-5*(o - 3)**2*(o - 1)*(o + 1)
Let u(c) be the third derivative of 0 + 1/210*c**5 - c**2 + 1/21*c**3 - 1/42*c**4 + 0*c. Factor u(k).
2*(k - 1)**2/7
Solve -2/3*x**2 + 4/3*x + 0 = 0.
0, 2
Let y(h) be the third derivative of 1/12*h**4 + 1/60*h**6 + 0 - h**2 + 0*h + 0*h**3 - 1/15*h**5. Find z such that y(z) = 0.
0, 1
Let h(y) = -2*y**2 - 3*y + 2. Let c be h(2). Let l be (c/(-27))/((-6)/(-9)). Factor l*p**4 + 10/3*p - 4/3 - 2*p**2 - 2/3*p**3.
2*(p - 1)**3*(p + 2)/3
Let l(h) be the first derivative of 7*h**4/16 + h**3/2 - h**2/8 + 40. Factor l(k).
k*(k + 1)*(7*k - 1)/4
Suppose -x - 3*b = 2, -4*x - x = -5*b - 10. Factor -6*l - 2*l**2 + x + 6*l**3 + 3 + 6*l**4 - 8*l**4.
-2*(l - 2)*(l - 1)**2*(l + 1)
Let q(u) = 5*u**3 + 19*u**2 + 13*u + 7. Let m(y) = 2*y**3 + y**3 - y**2 + 11*y**2 + 0*y**3 + 7*y + 4. Let p(h) = -11*m(h) + 6*q(h). Factor p(f).
-(f - 1)**2*(3*f + 2)
Let o(j) be the first derivative of -j**6/600 + j**5/100 - j**4/40 + j**3/30 - 2*j**2 - 7. Let u(i) be the second derivative of o(i). Find c such that u(c) = 0.
1
Factor 2/7*c**2 + 0*c + 0 - 6/7*c**4 - 4/7*c**3.
-2*c**2*(c + 1)*(3*c - 1)/7
Let o be (20/45)/((-8)/(-12)). Factor -2/3*v**2 - o*v + 0.
-2*v*(v + 1)/3
Let g(z) = z**5 + 29*z**4 + 35*z**3 + 7*z**2 - 5*z. Let j(r) = 15*r**4 + 18*r**3 + 3*r**2 - 3*r. Let s(c) = -3*g(c) + 5*j(c). Solve s(k) = 0.
-2, -1, 0
Find x, given that 0*x**2 + 2/11*x**4 + 0*x + 2/11*x**3 + 0 = 0.
-1, 0
Let a(y) be the third derivative of -1/96*y**4 + 0*y**3 + 0*y**5 + 0 + 1/480*y**6 - 2*y**2 + 0*y. Suppose a(b) = 0. What is b?
-1, 0, 1
Find v, given that 4/21*v**2 + 4/21 + 10/21*v = 0.
-2, -1/2
Let n(u) be the third derivative of -u**7/10080 + u**6/2880 - u**4/12 + 2*u**2. Let r(v) be the second derivative of n(v). What is g in r(g) = 0?
0, 1
What is s in -s**2 - 1/3*s**4 - s**3 + 0 - 1/3*s = 0?
-1, 0
Let i = 887/44 + -77/4. Factor 2/11 - 6/11*l**3 - i*l + 14/11*l**2.
-2*(l - 1)**2*(3*l - 1)/11
Let h(i) = -6*i**4 + 17*i**3 - 9*i**2 - 9*i + 7. Let w(p) = -6*p**4 + 16*p**3 - 8*p**2 - 8*p + 6. Let t(g) = 6*h(g) - 7*w(g). Suppose t(n) = 0. What is n?
-1/3, 0, 1
Let t = 5 + -16. Let s = t - -11. Suppose -1/2*u**2 + s + 0*u = 0. What is u?
0
Let b(f) be the second derivative of -25*f**8/1512 + 4*f**7/189 - f**6/135 + f**2/2 - 5*f. Let v(y) be the first derivative of b(y). Factor v(l).
-2*l**3*(5*l - 2)**2/9
Let l = -90 - -2161/24. Let p(f) be the second derivative of -l*f**3 + 1/48*f**4 - f + 0 + 1/80*f**5 - 1/8*f**2. Factor p(m).
(m - 1)*(m + 1)**2/4
Let r(s) = 3*s**5 - 11*s**4 + 8*s**3 + 32*s**2 - 37. Let x(t) = 2*t**5 - 6*t**4 + 4*t**3 + 16*t**2 - 19. Let q(d) = 3*r(d) - 5*x(d). Factor q(y).
-(y - 2)*(y - 1)*(y + 2)**3
Let z = 25 + -21. Factor 3*n**3 + 2*n**2 - n**z - 4*n**2 - 6*n**3.
-n**2*(n + 1)*(n + 2)
Let b(k) = 5*k**3 - 35*k**2 - 135*k - 125. Let c(x) = x**3 + x**2 + 1. Let y(a) = b(a) - 10*c(a). Solve y(r) = 0 for r.
-3
Let c be (2 - (0 - 1)) + 1. Suppose -c*q + 5*d + 13 = 0, -4*q = q + 4*d - 6. Factor -2*i**3 - 2*i**4 + 0*i**2 - 2*i**3 - 2*i**q.
-2*i**2*(i + 1)**2
Solve 6*t**4 + 20*t**3 - 8*t**3 - 8*t**2 - 10*t**4 = 0 for t.
0, 1, 2
Let k(m) = m. Let r be k(3). Suppose -5 = -4*b + r. Find d, given that -b*d**3 - d**2 - d**4 - d**2 + 2*d + 3*d**4 = 0.
-1, 0, 1
Let s(r) be the third derivative of r**7/105 - r**6/20 + r**4/3 + 11*r**2. Suppose s(f) = 0. Calculate f.
-1, 0, 2
Let h(c) = 3*c - 1. Let p be h(1). Factor 0*k + 2*k + 4*k**2 - 3*k**p + k**2.
2*k*(k + 1)
Let c(k) be the third derivative of k**9/4032 - k**8/1120 + k**6/240 - k**5/160 - k**3/2 - 3*k**2. Let t(r) be the first derivative of c(r). Factor t(n).
3*n*(n - 1)**3*(n + 1)/4
Let m be (-30)/9*(-36)/30. Determine s so that -18 - m*s**2 + 35*s - 3*s - 46 = 0.
4
Let w be ((-4)/3)/(7/(-21)). Let v be 0/(2 + w - 3). Factor -1/5*b + v + 3/5*b**2.
b*(3*b - 1)/5
Let n(r) be the third derivative of 0*r**3 + 0*r**4 + 0*r + 0 + 2*r**2 + 0*r**5 + 1/735*r**7 + 0*r**6. Determine v so that n(v) = 0.
0
Let m(b) = 2*b - 1. Let a be m(-3). Let f be (-14)/(-6) + 5 + a. Suppose f*o**2 + 0*o + 0 + 1/3*o**4 - 2/3*o**3 = 0. Calculate o.
0, 1
Let t(w) be the third derivative of 1/1440*w**6 - w**2 + 0*w + 0 + 0*w**5 - 1/3*w**3 - 1/96*w**4. Let q(y) be the first derivative of t(y). Factor q(h).
(h - 1)*(h + 1)/4
Let j(y) be the first derivative of 1/6*y**2 - 2/9*y**3 - 2 + 1/12*y**4 + 0*y. Factor j(u).
u*(u - 1)**2/3
Let u = 12 + -58/5. Let d(m) = m**2 - 11*m - 100. Let z be d(-6). Factor -1/5*y + u*y**z + 0 - 1/5*y**3.
-y*(y - 1)**2/5
Let b(o) = -10*o**2 - 8*o + 1. Let a(y) = -y**2 + y - 1. Let j(d) = -5*a(d) + b(d). Factor j(u).
-(u + 3)*(5*u - 2)
Let v(u) be the second derivative of 1/2*u**2 - 9/40*u**5 + 4*u + 3/4*u**4 + 0 - 11/12*u**3. Let v(z) = 0. Calculate z.
1/3, 2/3,