rivative of -l + h*l**3 + 0 - 1/60*l**6 + 1/84*l**7 + 0*l**2 - 1/20*l**5 + 0*l**4. Solve t(c) = 0 for c.
-1, 0, 2
Let -2*n**3 - 4*n - 9*n**2 - n - n**3 - n = 0. What is n?
-2, -1, 0
Let f be 0/(1/(-2)*-2). Suppose f = 2*d - d + 3*t - 11, 0 = -4*t + 12. Factor 6*n**3 - n + 4*n**2 - 3*n**5 + d*n + 4*n**4 + 4*n**5.
n*(n + 1)**4
Let n = 124/287 + -6/41. Factor -n*l**3 - 2/7*l**5 + 4/7*l**4 + 0*l**2 + 0*l + 0.
-2*l**3*(l - 1)**2/7
Suppose -11*s = -16*s - 4*s. What is d in -d**3 + s + 2/3*d**2 + 1/3*d = 0?
-1/3, 0, 1
Let i(m) be the first derivative of -m**6/15 + m**5/20 + m**4/12 - 5*m - 3. Let p(x) be the first derivative of i(x). Factor p(g).
-g**2*(g - 1)*(2*g + 1)
Let c be 6/12 + -2 + (-82)/(-28). What is f in -2/7*f + 16/7*f**2 - 4/7 - c*f**3 = 0?
-2/5, 1
Let k(p) be the first derivative of 1/2*p**4 - 1/5*p**5 + 2/3*p**3 - p - 5 - 1/6*p**6 - 1/2*p**2. Factor k(n).
-(n - 1)**2*(n + 1)**3
Let s(c) = -5*c**2 + 22*c. Let z(m) = 25*m**2 - 111*m. Let p(q) = -11*s(q) - 2*z(q). Solve p(x) = 0.
0, 4
Let x(z) = -z**2 - 9*z + 3. Let m be x(-9). Factor 5*f**2 + 21*f**3 + m*f + f**4 + 8*f**4 + 10*f**2.
3*f*(f + 1)**2*(3*f + 1)
Factor -12/7*h**3 + 9/7*h + 0*h**2 + 3/7.
-3*(h - 1)*(2*h + 1)**2/7
Let z(r) = 147*r**3 + r - 1. Let a be z(1). Let i = -731/5 + a. Determine g, given that -2/5*g**5 + 2/5*g + 0 - 4/5*g**2 + i*g**4 + 0*g**3 = 0.
-1, 0, 1
Let f(a) be the second derivative of a**7/210 + a**6/75 + a**5/100 - 2*a. Factor f(x).
x**3*(x + 1)**2/5
Solve 24/5 - 2/5*m**2 - 2/5*m**3 + 16/5*m = 0.
-2, 3
Let t(m) = -5*m**3 - 27*m**2 + 23*m + 12. Let x(r) = 5*r**3 + 27*r**2 - 24*r - 12. Let q(p) = -4*t(p) - 3*x(p). Factor q(g).
(g - 1)*(g + 6)*(5*g + 2)
Suppose -44*c + 6 = -43*c. Let n(w) be the first derivative of 0*w**2 + 0*w**3 - 2/5*w**5 + 1 + 0*w**4 + 4/3*w**c + 0*w. Factor n(i).
2*i**4*(4*i - 1)
Let l(f) be the first derivative of -4*f**4/3 - 4*f**3/3 - f**2/2 - 2*f + 3. Let s(p) be the first derivative of l(p). Let s(a) = 0. What is a?
-1/4
Let j(l) be the first derivative of 9*l**4/4 - l**3 + 2*l + 1. Let w(p) be the first derivative of j(p). Find q such that w(q) = 0.
0, 2/9
Suppose -2*i - i = -9. Factor 19*y + 3*y**4 + i*y**3 - 3*y**2 - 11*y - 11*y.
3*y*(y - 1)*(y + 1)**2
Suppose 0 = 5*z + 68 + 47. Let l = z - -27. Factor 0*f**l + 0*f**2 - 1/3*f - 1/3*f**5 + 0 + 2/3*f**3.
-f*(f - 1)**2*(f + 1)**2/3
Let p(v) be the first derivative of -v**8/840 + v**7/175 - v**6/100 + v**5/150 + 2*v**3/3 - 2. Let l(f) be the third derivative of p(f). Factor l(k).
-2*k*(k - 1)**2*(5*k - 2)/5
Let s(j) = -4*j**2 - 5*j. Let d(l) = 3*l**2 + 4*l. Let a(h) = 5*d(h) + 4*s(h). Solve a(o) = 0.
0
Let m(j) = 6*j**2 + 4*j + 8. Let f(h) = h**2 + h + 1. Let z(n) = 8*f(n) - m(n). Factor z(l).
2*l*(l + 2)
Let v(l) be the second derivative of l**5/100 - l**4/30 + l**3/30 + 4*l. Suppose v(w) = 0. Calculate w.
0, 1
Let t(x) = 6*x**2 - 57*x + 21. Let z(h) = h**2 - 11*h + 4. Let m(j) = -4*t(j) + 21*z(j). Factor m(w).
-3*w*(w + 1)
Let x(d) be the first derivative of -d**5/210 - d**4/28 - 2*d**3/21 + d**2/2 - 1. Let t(q) be the second derivative of x(q). Solve t(n) = 0.
-2, -1
Let k(b) be the second derivative of b**6/10 - 10*b. Let k(v) = 0. Calculate v.
0
Let n = 4 - -2. Let f be 2/n + (-34)/(-6). Solve -j**3 + 3*j + 1 + 2*j**3 + f*j**2 - 3*j**2 = 0.
-1
Let k(j) be the first derivative of 4*j**6/9 + 2*j**5/5 - 3*j**4/2 + 4*j**3/9 - 5. Solve k(y) = 0.
-2, 0, 1/4, 1
Let g(n) be the first derivative of 2*n**3/3 + n**2 - 12*n + 11. Factor g(c).
2*(c - 2)*(c + 3)
Let g = 24 + -70/3. Factor 2/3*y**2 + 0*y**3 + 0*y + 0 - g*y**4.
-2*y**2*(y - 1)*(y + 1)/3
Let k(a) be the second derivative of 0 + 1/2*a**4 - 1/5*a**5 - 2*a - 1/3*a**3 + 0*a**2. Factor k(x).
-2*x*(x - 1)*(2*x - 1)
Let l(y) be the second derivative of y**5/20 + 31*y**4/36 + 85*y**3/18 + 25*y**2/6 - 2*y. Factor l(f).
(f + 5)**2*(3*f + 1)/3
Suppose 2*p + 3*j + 12 = -2*p, -4*j = 3*p + 2. Let i = -2 - p. Suppose 12*m**4 - 7*m**4 - 8*m**i = 0. What is m?
0
Let d(r) be the third derivative of -1/180*r**5 + 0*r - 2*r**2 + 1/72*r**4 + 0 + 0*r**3. Factor d(v).
-v*(v - 1)/3
Let k(f) = -f - 2. Let h(i) = i. Let s(o) = 4*h(o) + k(o). Let z be s(2). Factor 2*u**2 - z*u**3 - 3*u**2 - u**2 - 2*u**4.
-2*u**2*(u + 1)**2
Suppose -2*l - 2*r - r = -7, 22 = 5*l + 3*r. Let q(i) be the first derivative of 0*i + 1 - 4/27*i**3 + 4/45*i**l + 1/27*i**6 + 0*i**4 - 1/9*i**2. Factor q(z).
2*z*(z - 1)*(z + 1)**3/9
Let t(n) be the second derivative of -n**6/10 + 3*n**4/4 - n**3 + 10*n. Solve t(l) = 0.
-2, 0, 1
Let w(b) be the first derivative of 5/24*b**6 + 0*b**2 - 2/5*b**5 - 3 + 1/6*b**3 + 0*b + 1/16*b**4. Factor w(f).
f**2*(f - 1)**2*(5*f + 2)/4
Let t(i) be the third derivative of 0 + 1/24*i**3 + 0*i - 2*i**2 - 1/240*i**5 + 1/96*i**4 - 1/480*i**6. Determine p, given that t(p) = 0.
-1, 1
Let r(y) = -y - 1. Let p be (1 - 1) + 0 + 2. Let s(o) = 12 + 2*o**p - 12. Let w(b) = -8*r(b) + s(b). Factor w(m).
2*(m + 2)**2
Let g be 10/6 - 69/63. Find n such that -g*n**2 - 2/7*n**3 + 0 - 2/7*n = 0.
-1, 0
Let 2*o**2 - o**2 - 13 + 4*o + 3*o**2 + 5 = 0. Calculate o.
-2, 1
Let h(f) be the third derivative of f**8/1176 + 4*f**7/735 + f**6/420 - f**5/15 - 5*f**4/21 - 8*f**3/21 + 11*f**2. Find n such that h(n) = 0.
-2, -1, 2
Let l(i) be the second derivative of 3/2*i**2 + 0*i**4 + 1/3*i**3 - 1/30*i**5 - i + 0. Let b(t) be the first derivative of l(t). Find q, given that b(q) = 0.
-1, 1
Let o = 51 + -24. Let n = 55/2 - o. What is z in 1/4*z**3 + 0 - 1/4*z**4 + 0*z + n*z**2 = 0?
-1, 0, 2
Let l(t) = -4*t**4 + 18*t**3 + 32*t**2 + 24*t + 14. Let v(n) = 3*n**4 - 17*n**3 - 31*n**2 - 24*n - 13. Let y(s) = -5*l(s) - 6*v(s). Let y(d) = 0. What is d?
-2, -1
Suppose 0 = -2*j - 4*r - 12, 9 = 3*j - r - 1. Determine q so that 7/2*q**3 - q + 0 - 5/2*q**j = 0.
-2/7, 0, 1
Let 0 - 1/3*s**4 - 2/3*s - 5/3*s**2 - 4/3*s**3 = 0. Calculate s.
-2, -1, 0
Let n(v) = v**4 + v**3 + v. Let m(o) = 2*o**4 + 5*o**3 + 5*o. Let y(l) = m(l) - 5*n(l). Determine q so that y(q) = 0.
0
Let a(b) be the first derivative of -b - 1 + 1/12*b**3 + 0*b**2 - 1/40*b**5 + 0*b**4. Let g(c) be the first derivative of a(c). Factor g(d).
-d*(d - 1)*(d + 1)/2
Let a = 2/11 + 70/99. Let g(y) be the second derivative of -a*y**2 + 4/3*y**3 - y**4 + 0 + y + 3/10*y**5. Factor g(b).
2*(3*b - 2)**3/9
Let u(i) = i**3 + 3*i**2 - 13*i - 12. Let v be u(-5). Find k, given that -v*k + 3/4*k**2 + 3 = 0.
2
Let r(b) = b**3 - 3*b**2 + 4*b - 12. Let l be r(3). Factor 1/3*f**5 + l*f**2 + 8/3*f**4 + 6*f**3 - 9*f + 0.
f*(f - 1)*(f + 3)**3/3
Let s(h) be the third derivative of 7*h**7/15 - 7*h**6/6 - 199*h**5/30 - 23*h**4/3 - 4*h**3 + 12*h**2. Factor s(r).
2*(r - 3)*(r + 1)*(7*r + 2)**2
Suppose 3*c + 3*i = -9, 5*c - 2*i + 3 = 23. Let n(d) = d**2 - 2*d + 2. Let z be n(c). Factor 0*p**z + p - 2*p**2 - 3*p.
-2*p*(p + 1)
Factor 0 - 5/2*k - 1/2*k**2.
-k*(k + 5)/2
Let k(r) = -17*r**2 + 12*r. Let w(c) = -8*c**2 + 6*c. Let m(f) = 2*k(f) - 5*w(f). Let x(l) = -11*l**2 + 12*l - 1. Let v(a) = -5*m(a) - 3*x(a). Factor v(o).
3*(o - 1)**2
Factor 5 - 3*s - s**3 + 6 - 5*s**2 - 2.
-(s - 1)*(s + 3)**2
Let i(k) be the third derivative of -1/120*k**5 + 0 + 1/16*k**4 - 1/6*k**3 + 0*k - k**2. Solve i(x) = 0.
1, 2
Let r(g) be the second derivative of -g**6/60 + g**5/30 + g**4/6 - g**2/2 - 2*g. Let a(o) be the first derivative of r(o). Find m such that a(m) = 0.
-1, 0, 2
Find w such that -3/5*w - 1/5 + 2/5*w**3 + 1/5*w**5 - 2/5*w**2 + 3/5*w**4 = 0.
-1, 1
Let j(r) be the second derivative of r**8/2520 + r**7/840 - r**5/360 - r**3/3 - 3*r. Let z(a) be the second derivative of j(a). Find p such that z(p) = 0.
-1, 0, 1/2
Suppose 5*z = 2*p - 7 - 3, 3*p - 5*z = 10. Find c, given that -2*c + 2*c**3 - 4 + p + 4 = 0.
-1, 0, 1
Let f(g) be the second derivative of g**5/100 + g**4/30 + 21*g. Determine o so that f(o) = 0.
-2, 0
Let o(k) be the second derivative of -k**8/30240 + 7*k**4/12 - 6*k. Let q(i) be the third derivative of o(i). Suppose q(p) = 0. Calculate p.
0
Let d(m) = 21*m**2 + 12*m. Let g(p) = 40*p**2 + 25*p. Let a(k) = 5*d(k) - 2*g(k). Determine h so that a(h) = 0.
-2/5, 0
Let n = 35 + -31. Let j(d) be the second derivative of 0 + 2/5*d**n + 0*d**2 - 1/15*d**7 + d - 4/25*d**6 + 11/50*d**5 - 4/15*d**3. Solve j(m) = 0.
-2, -1, 0, 2/7, 1
Let s be 1 + -5 + -2 + 3. Let f = s - -5. Suppose 