 - 1/21*o**3. Factor i(q).
2*(q - 1)*(3*q + 1)/7
Let z(i) be the second derivative of -i**4/15 - 4*i. Suppose z(g) = 0. What is g?
0
Suppose 2*d = -0*d. Suppose d = -4*l - l + 20. Factor m**3 + m**l - 1 + 1.
m**3*(m + 1)
Let s(m) be the third derivative of 1/240*m**5 + 1/480*m**6 + m**2 + 0*m + 0*m**3 - 1/840*m**7 - 1/96*m**4 + 0. What is w in s(w) = 0?
-1, 0, 1
Let m(o) be the first derivative of -2/5*o**5 - 5 + 2/3*o**3 + 0*o**2 + 1/3*o**6 - 1/2*o**4 + 0*o. Suppose m(r) = 0. What is r?
-1, 0, 1
Factor 4*a**2 + a**2 + 20*a + 21 - 21.
5*a*(a + 4)
Let p = -15 + 16. Let -13*m**4 + 3 - 4*m**2 - p + 15*m**4 = 0. Calculate m.
-1, 1
Suppose -i - 8 = -2*l, -i + 10 = -6*i. Solve -l*y**4 + 3*y**3 + 2*y**4 + 4*y**4 + 0*y**4 = 0 for y.
-1, 0
Let v(q) = q**2 - 4*q + 1. Let p be (-3)/(-5) + (-22)/(-5). Let g be v(p). Let -2*c**2 - c**2 - g*c + 0*c**2 = 0. What is c?
-2, 0
Let i(g) = 11*g**3 + g**2 + 5*g + 5. Let u(m) = -2*m - m**3 + 8 - 10 - 5*m**3. Let p(w) = 2*i(w) + 5*u(w). Let p(r) = 0. What is r?
0, 1/4
Let j(a) = 2*a - 5. Let w(g) = 3*g - 7. Let q(h) = -7*j(h) + 5*w(h). Let v be q(3). Find b such that 3*b**v + 5*b - 3 - 4*b**2 - 2*b**3 + 1 = 0.
1, 2
Let q(b) be the first derivative of -b**7/105 + b**6/15 - b**5/5 + b**4/3 - b**3/3 - b**2/2 - 6. Let d(l) be the second derivative of q(l). Factor d(k).
-2*(k - 1)**4
Let t(j) = -j**2 + 4. Let l(g) = g**3 + g**2 - g - 1. Let u be l(-1). Let s be t(u). Factor -i**5 - i**5 + 2*i**s + 3*i**3 + i**3.
-2*i**3*(i - 2)*(i + 1)
Let t be (22/(-4))/(4/(-8)). Factor -t*b**4 - 10*b**5 + b**5 - b - b**2 + 13*b**5 + 9*b**3.
b*(b - 1)**3*(4*b + 1)
Let m be (-8)/(-10) - (-6)/(-45). Suppose r - l = 3*l - 12, 5*l = 3*r + 15. Factor 2*y**2 - 2/3*y + r - 2*y**3 + m*y**4.
2*y*(y - 1)**3/3
Let i(o) be the first derivative of 3/10*o**4 + 1/5*o**2 + 2/5*o**3 + 2 + 2*o. Let q(z) be the first derivative of i(z). Factor q(h).
2*(3*h + 1)**2/5
Let a be 5/(-30)*-13*20. Let g = a + -43. Factor 0 + g*w + 2/3*w**2.
w*(2*w + 1)/3
Let -1/2*k + 1/2*k**4 + 3/2*k**2 - 3/2*k**3 + 0 = 0. Calculate k.
0, 1
Let j = -298 + 121. Let q = -1591/9 - j. Factor 0 - q*t**2 + 0*t.
-2*t**2/9
Let p(w) = 2*w + 1. Let r be ((-6)/(-9))/((-6)/(-9)). Let d be p(r). Suppose 2/9*y**2 - 4/9*y + 0 + 2/3*y**d = 0. What is y?
-1, 0, 2/3
Suppose 0 = 2*l - 4 - 0. Suppose 5*p - 24 = 2*v, 5*p - l*p = -4*v + 4. Factor 0 + 8/5*u**3 + 4/5*u - 2/5*u**p - 2*u**2.
-2*u*(u - 2)*(u - 1)**2/5
Let v(b) be the third derivative of -b**7/1050 - b**6/300 - b**5/300 + b**2. Factor v(z).
-z**2*(z + 1)**2/5
Let y(j) be the second derivative of 3*j**6/40 + j**5/4 + j**4/4 - 2*j**2 - j. Let c(n) be the first derivative of y(n). Find m, given that c(m) = 0.
-1, -2/3, 0
Let r = 8 - 4. Let m(a) = -a**2 - 4*a + 5. Let f(i) = -3*i**2 - 11*i + 14. Let g(v) = r*f(v) - 11*m(v). Determine k, given that g(k) = 0.
-1, 1
Let u = -12 - -17. Suppose 3*c + 12 = u*c. Determine i, given that -5*i + c*i**2 + 2*i + i = 0.
0, 1/3
Let j be (-10 - -9)/((-13)/2). Factor -j*q - 6/13*q**2 - 6/13*q**3 + 0 - 2/13*q**4.
-2*q*(q + 1)**3/13
Let m(w) be the first derivative of -w**6/9 + 2*w**5/15 + w**4/2 - 10*w**3/9 + 2*w**2/3 + 23. Factor m(v).
-2*v*(v - 1)**3*(v + 2)/3
Let n(x) = -x**4 + x**2 + 1. Let y(f) = -10*f**4 + 10*f**3 + 10*f**2 - 10*f + 5. Let c(m) = 5*n(m) - y(m). Solve c(t) = 0 for t.
-1, 0, 1, 2
Let x(f) be the second derivative of 2*f**7/21 + 2*f**6/3 + 2*f**5 + 10*f**4/3 + 10*f**3/3 + 2*f**2 - 40*f. Find k, given that x(k) = 0.
-1
Let s(q) = q**2 + 7*q + 8. Let g be s(-6). Determine j, given that 6 - g - 4 + j**3 = 0.
0
Let z(p) be the third derivative of -7*p**6/360 + 32*p**5/45 - 67*p**4/8 + 9*p**3 + 67*p**2. Suppose z(v) = 0. What is v?
2/7, 9
Let o(m) be the first derivative of -1/4*m**3 - 1/6*m**4 + 1/4*m**2 - m + 1. Let h(p) be the first derivative of o(p). Determine f so that h(f) = 0.
-1, 1/4
Let p(s) = 2*s**2 - s + 8. Let g(r) be the first derivative of -4*r**3/3 + 3*r**2/2 - 17*r - 1. Let i(u) = 6*g(u) + 13*p(u). Factor i(w).
(w + 2)*(2*w + 1)
Let m = -2 - -4. Factor -27*j - m*j**2 + j**2 + 28*j.
-j*(j - 1)
Suppose f - 79 = -3*q - f, 0 = -2*f - 2. Factor 3*x**2 + x**2 - x**2 - 18*x + q.
3*(x - 3)**2
Factor 16*c**2 + 3*c**5 - 11*c**3 + 43*c**3 + 20*c**4 + 0*c**5 + c**5.
4*c**2*(c + 1)*(c + 2)**2
Let t(b) be the first derivative of -b**2/2 + 2. Let y be t(-5). Let z**2 + 0*z**4 + 5*z**4 + 3*z**2 - 8*z**3 - z**y = 0. What is z?
0, 1, 2
Let h(x) = x**3 + 11*x**2 + x + 13. Let s be h(-11). Suppose -6*d - 2*j = -5*d - s, -2*d = 2*j - 2. Let d*n + 0 - 2/5*n**4 + 2/5*n**2 + 0*n**3 = 0. Calculate n.
-1, 0, 1
Let n(p) = -27*p**3 + 9*p**2 + 27*p - 3. Let o(d) = d**2 + 1. Let g(h) = n(h) - 3*o(h). Let g(b) = 0. Calculate b.
-1, 2/9, 1
Suppose 0*t + 8 = 2*t. Let o(y) = -2*y**2 - 2*y - 5. Let s(v) = 2*v**2 + 2*v + 4. Let l(j) = t*o(j) + 5*s(j). Solve l(z) = 0 for z.
-1, 0
Let o(d) = -20*d**3 - 188*d**2 - 892*d - 1492. Let l(h) = -13*h**3 - 125*h**2 - 595*h - 995. Let x(r) = -8*l(r) + 5*o(r). Factor x(t).
4*(t + 5)**3
Let z(l) be the third derivative of 2*l**2 - 1/150*l**6 + 1/15*l**3 + 1/30*l**4 + 0 + 0*l - 1/525*l**7 + 0*l**5. Factor z(c).
-2*(c - 1)*(c + 1)**3/5
Suppose f + 2*f = 0. Let o(s) be the second derivative of -s + 0 + f*s**4 + 1/35*s**5 + 1/7*s**2 - 2/21*s**3 - 1/105*s**6. Factor o(z).
-2*(z - 1)**3*(z + 1)/7
Let n = 17/6 + -5/2. Factor n*h**2 + 4/3*h + 4/3.
(h + 2)**2/3
Let r be 46/8 + (-12)/16. Let j = -1 + r. Factor -q**2 - 2*q - j + 3 + 0.
-(q + 1)**2
Let o be (1 + (-8)/(-5))*5. Solve -6*g**3 + 11*g**4 - 4 + 8*g + 4 - o*g**4 = 0 for g.
-2, 0, 1
Let r(o) be the first derivative of -1/2*o**2 + 0*o - 2/3*o**3 - 1/10*o**5 - 3 + 5/12*o**4. Let h(d) be the second derivative of r(d). Factor h(x).
-2*(x - 1)*(3*x - 2)
Let c(k) be the second derivative of 13*k**5/5 - 11*k**4/3 - 56*k**3/3 - 8*k**2 + 15*k. Factor c(i).
4*(i - 2)*(i + 1)*(13*i + 2)
Let i(g) = 3*g**2 - 12*g + 18. Let t(l) = 6*l**2 - 24*l + 35. Let j(m) = 11*i(m) - 6*t(m). Determine k so that j(k) = 0.
2
Let l(d) be the first derivative of -6*d**5/35 + 15*d**4/28 - 3*d**3/7 - 3*d**2/14 + 3*d/7 - 5. Factor l(x).
-3*(x - 1)**3*(2*x + 1)/7
Let j(o) be the first derivative of -3*o**4/8 - o**3 + 10. Factor j(n).
-3*n**2*(n + 2)/2
Let t(o) be the second derivative of o**4/3 + 8*o**3/3 + 6*o**2 - 5*o. Factor t(d).
4*(d + 1)*(d + 3)
Determine d so that d - 1/2 + 1/2*d**4 - d**3 + 0*d**2 = 0.
-1, 1
Let k(n) be the first derivative of 1 + 0*n**3 - 4/75*n**6 - 1/30*n**4 + 0*n**2 - 1/10*n**5 - 2*n. Let a(o) be the first derivative of k(o). Factor a(t).
-2*t**2*(t + 1)*(4*t + 1)/5
Let m = 5 + -3. Factor 0*f**m + 0*f**3 + 2*f + 2*f**3 + 4*f**2.
2*f*(f + 1)**2
Suppose -9*f = -4*f. Suppose -7*c + 15 = -2*c. Factor 2/3*p**4 - 2/3*p**2 + f*p**c + 0*p + 0.
2*p**2*(p - 1)*(p + 1)/3
Let w(l) be the second derivative of l**8/6720 - l**7/2520 - l**4/3 + l. Let z(q) be the third derivative of w(q). Factor z(d).
d**2*(d - 1)
Let c(n) be the second derivative of 3/40*n**5 + 0*n**3 + 1/12*n**4 + 0*n**2 + 1/60*n**6 + 0 - n. Solve c(w) = 0.
-2, -1, 0
Let d(n) be the first derivative of n**3/4 + n**2 - 3*n/4 - 2. Let d(t) = 0. What is t?
-3, 1/3
Let j(t) be the first derivative of -t**6/6 - 3*t**5/5 - 3*t**4/4 - t**3/3 + 6. Determine p so that j(p) = 0.
-1, 0
Let k = 11 + -7. Let o be 3 + -3 - k/(-8). Factor 1/2*j**4 + 0 - o*j**2 + 1/2*j**3 + 0*j - 1/2*j**5.
-j**2*(j - 1)**2*(j + 1)/2
Let m(l) be the second derivative of -l**5/40 + l**4/12 - l**3/12 + 5*l. Factor m(t).
-t*(t - 1)**2/2
What is t in 0 - 3/2*t**3 + 0*t + 0*t**2 = 0?
0
Suppose -3*b - 1 + 5 = 2*u, 4*u = 8. Let d(s) be the third derivative of -1/105*s**5 + 0*s**4 + b*s + 0*s**3 + 1/420*s**6 - 3*s**2 + 0. Factor d(g).
2*g**2*(g - 2)/7
Let r = -24 - -14. Let i(b) be the first derivative of -b**6 - b**4 - 5*b**3/3 + 38. Let o(h) = h**5 + h**3 + h**2. Let c(m) = r*o(m) - 2*i(m). Factor c(z).
2*z**3*(z - 1)*(z + 1)
Let c(w) be the second derivative of 0*w**2 + 0*w**3 + 0 - 1/8*w**4 - 2*w - 3/80*w**5. Determine d so that c(d) = 0.
-2, 0
Let x be -2*-11*2/4. Factor 16*u**2 - u**3 - 14*u**2 - 6*u - x*u**2 - 2*u**3.
-3*u*(u + 1)*(u + 2)
Let i(w) be the first derivative of w**6/24 - w**4/8 + w**2/8 + 3. Let i(k) = 0. What is k?
-1, 0, 1
Suppose -r + 0*r = -0*r. Factor 0*n**3 - 2/5*n**2 + 2/5*n**4 + r + 0*n.
2*n