rivative of k(m). Suppose t(j) = 0. What is j?
-1, 0
Solve 0 - 1/10*i - 1/10*i**3 - 1/5*i**2 = 0 for i.
-1, 0
Let o(g) be the second derivative of 0*g**2 + 1/30*g**6 + 0*g**5 + 0*g**4 + 0*g**3 + 0 - 4*g. Suppose o(c) = 0. Calculate c.
0
Let d = 20 + -9. Let s = -6 - -10. Let b(i) = 5*i**2 - 3*i - 4. Let q(v) = -14*v**2 + 8*v + 11. Let c(u) = d*b(u) + s*q(u). Determine y, given that c(y) = 0.
-1, 0
Determine v so that 9*v**3 + 2*v**5 + 2*v**3 + 8*v**4 - 6*v**3 + 5*v**3 + 4*v**2 = 0.
-2, -1, 0
Let v be ((-3 - -1) + 16/1)*2. Solve -8/9*q + 0 - 8*q**2 - v*q**4 - 218/9*q**3 - 98/9*q**5 = 0 for q.
-1, -2/7, 0
Suppose -8 = -2*h + 2. Suppose -3*j + 34 = -h*a, 0 = -j - 0*a + 2*a + 13. Let 0 + 3/4*v**2 + 1/4*v**j + 1/2*v = 0. Calculate v.
-2, -1, 0
Let x(v) = -v**3 + v. Let f(h) = -12*h**3 + 5*h**2 + 15*h - 2. Let r(m) = -3*f(m) + 24*x(m). Factor r(c).
3*(c - 2)*(c + 1)*(4*c - 1)
Let h be (-66)/(-18) + 1/3. Let s**5 + s**h + 32*s**3 - 32*s**3 = 0. Calculate s.
-1, 0
Let n(s) be the third derivative of s**7/490 - s**6/140 + s**4/28 - s**3/14 + 18*s**2. Suppose n(y) = 0. Calculate y.
-1, 1
Let n be (-2)/(1*(-4)/6). Suppose 9*q**3 + 2 - 4*q**2 - 9*q**n + 2*q**4 = 0. Calculate q.
-1, 1
Let c(j) be the third derivative of 1/12*j**4 + 0*j + 0 + 0*j**3 - 1/30*j**5 - j**2. Factor c(q).
-2*q*(q - 1)
Let d(u) be the second derivative of 7*u + 0 - 1/60*u**4 + 1/15*u**3 + 0*u**2. Suppose d(w) = 0. What is w?
0, 2
Factor 9/2*a**2 + 0 - 3/2*a - 9/2*a**3 + 3/2*a**4.
3*a*(a - 1)**3/2
Let h(o) be the first derivative of -4 - 1/8*o**4 + 0*o**2 + 1/5*o**5 + 0*o - 1/6*o**3. Factor h(n).
n**2*(n - 1)*(2*n + 1)/2
Solve -w**3 - 8*w**5 + 4*w**3 + 0*w**3 + 5*w**5 = 0.
-1, 0, 1
Let w(g) be the third derivative of 1/135*g**7 + 4/27*g**3 + 5/54*g**5 + 0 + 4/27*g**4 - g**2 + 0*g + 19/540*g**6 + 1/1512*g**8. Factor w(a).
2*(a + 1)**3*(a + 2)**2/9
Let p(j) be the third derivative of 0 - 1/4*j**3 + 1/140*j**7 + 1/40*j**6 - 5*j**2 + 0*j**5 + 0*j - 1/8*j**4. Suppose p(n) = 0. Calculate n.
-1, 1
Let q(n) be the first derivative of n**6/360 + n**5/60 + n**4/24 + 2*n**3/3 + 2. Let c(f) be the third derivative of q(f). Determine z so that c(z) = 0.
-1
Let x(n) = -n**4 - n**3 - n**2 + n. Let p(g) = -28*g**4 - 16*g**3 - 28*g**2 + 24*g. Let s(m) = -p(m) + 24*x(m). Factor s(k).
4*k**2*(k - 1)**2
Let m = -2/7 + 11/14. What is r in -1/2*r**3 + 0 + 0*r**2 + m*r = 0?
-1, 0, 1
Let i(l) be the second derivative of l**7/8820 + l**6/1260 - l**4/12 + 2*l. Let g(x) be the third derivative of i(x). Factor g(u).
2*u*(u + 2)/7
Let n(o) = -3*o**3 + 3*o**2 + 3*o + 3. Let b(q) = 5*q**3 - 4*q**2 - 2*q**2 + q**3 - 7 - 7*q. Let j(y) = -3*b(y) - 7*n(y). Factor j(h).
3*h**2*(h - 1)
Let z(l) be the first derivative of -5*l**6/6 - 2*l**5 + 5*l**4/2 + 40*l**3/3 + 35*l**2/2 + 10*l - 3. Factor z(n).
-5*(n - 2)*(n + 1)**4
Let f(d) be the third derivative of 1/56*d**8 + 1/4*d**4 - 1/15*d**5 + 0 + 1/105*d**7 + 0*d - 1/10*d**6 + 5*d**2 + 1/3*d**3. Solve f(k) = 0 for k.
-1, -1/3, 1
Let g(y) be the third derivative of -y**5/30 - y**4/12 + 2*y**3/3 + 7*y**2. Factor g(z).
-2*(z - 1)*(z + 2)
Factor 10/9*f + 2/9*f**2 + 8/9.
2*(f + 1)*(f + 4)/9
Let y(w) = -4*w**4 + 6*w**3 - 4*w**2 - 2*w - 2. Let p(l) = 9*l**4 - 13*l**3 + 9*l**2 + 5*l + 5. Let i(q) = 2*p(q) + 5*y(q). Find b such that i(b) = 0.
0, 1
Let u(d) be the second derivative of -d**7/252 + d**5/60 - d**3/36 - 5*d. Suppose u(t) = 0. Calculate t.
-1, 0, 1
Let n(l) be the first derivative of 2*l**5/25 - l**4/5 - 2*l**3/15 + 2*l**2/5 - 10. Factor n(x).
2*x*(x - 2)*(x - 1)*(x + 1)/5
Let p be 5/(-20) + 26/8. Suppose -5*r + 32 = -4*j, p*r - 14 + 5 = -j. Suppose -u**2 - u**r - 1/4*u + 0 - 1/4*u**5 - 3/2*u**3 = 0. What is u?
-1, 0
Let s(m) be the third derivative of 0 + 1/48*m**4 - 1/24*m**3 - 1/240*m**5 + 0*m + 5*m**2. Factor s(k).
-(k - 1)**2/4
Factor 5*q**3 + 8 - 4*q**2 - 4 + q**3 - 7*q + q.
2*(q - 1)*(q + 1)*(3*q - 2)
Find u such that u**2 + 8*u - u**2 + 16 + u**2 = 0.
-4
Let f = 68/3 - 22. Let x(l) be the first derivative of 1 + 0*l**2 + 2/9*l**3 - f*l. Factor x(h).
2*(h - 1)*(h + 1)/3
Let g(p) be the first derivative of -p**6/140 + p**5/105 + p**4/84 - 3*p**2/2 + 5. Let w(m) be the second derivative of g(m). Factor w(y).
-2*y*(y - 1)*(3*y + 1)/7
Let h(v) be the third derivative of 3/50*v**5 + 1/525*v**7 - 4*v**2 - 1/50*v**6 + 0*v**4 + 0 + 0*v**3 + 0*v. Let h(x) = 0. What is x?
0, 3
Suppose -q + 25 = 4*q. Let t = q + -1. Suppose 1/2*j**5 + 0*j**3 + j**2 - 1/2*j - j**t + 0 = 0. What is j?
-1, 0, 1
Let g(i) = -i**3 + 25*i**2 + 3*i - 73. Let p be g(25). Factor 34/5*v**4 + 22/5*v**2 + 4/5*v + p*v**5 + 0 + 42/5*v**3.
2*v*(v + 1)**3*(5*v + 2)/5
Let c(y) be the first derivative of y**7/63 + y**6/45 - y**5/15 - y**4/9 + y**3/9 + y**2/3 - 4*y + 1. Let g(j) be the first derivative of c(j). Factor g(w).
2*(w - 1)**2*(w + 1)**3/3
Let h(n) = -6*n**5 - 5*n**4 - 9*n**2 - n. Let c be (1 - 3)*6/(-4). Let d(y) = y**5 + y**4 + y**2. Let m(g) = c*h(g) + 21*d(g). Factor m(q).
3*q*(q - 1)*(q + 1)**3
Suppose 4 = 3*l + 5*r - 6, 2*l - 15 = 5*r. Let o be 2 - (-1 + 13/l). Factor -o*u**2 + 0 + 0*u.
-2*u**2/5
Let u(t) be the third derivative of -t**9/30240 + t**8/5040 - t**7/2520 + t**5/30 - 3*t**2. Let s(n) be the third derivative of u(n). Factor s(m).
-2*m*(m - 1)**2
Let x(t) be the first derivative of -t**6/60 + 3*t**5/40 - t**4/8 + t**3/12 - t**2 + 2. Let z(b) be the second derivative of x(b). Factor z(o).
-(o - 1)**2*(4*o - 1)/2
Let t(h) be the third derivative of 0 + 1/210*h**5 + 0*h - 1/84*h**4 - 4*h**2 + 1/420*h**6 - 1/21*h**3. Factor t(c).
2*(c - 1)*(c + 1)**2/7
Let w be (8/24)/(1/9). Suppose w*v = 5*i - 10, 0*v + 4*v - 3*i = -6. Let v*z**2 - 1/2*z**3 + 0 + 1/2*z = 0. What is z?
-1, 0, 1
Let n(x) = 6*x**2 - 2*x - 24. Let t(w) = -13*w**2 + 3*w + 48. Let k(j) = 5*n(j) + 2*t(j). Find i such that k(i) = 0.
-2, 3
Let a be 6/4 + 2/4. Let p be (3 - 2)/(a/6). What is k in k - 5*k**3 + 9*k**3 + 15*k**3 + 2 - 7*k**4 - 15*k**2 + 0*k**p = 0?
-2/7, 1
Suppose -18 = k - 7*k. Let u be (k - -15)/3 + -4. Factor -4/9*a - 2/9*a**u + 0.
-2*a*(a + 2)/9
Suppose a = -5, -2*t = -3*a + 2*a - 9. What is w in 3*w - 2*w + w**2 - 4*w**t + 2*w**3 = 0?
0, 1/2, 1
Let n(g) = g**2 - 3*g + 2. Let y(s) = -s**2 + 3*s - 2. Let d(i) = -3*n(i) - 4*y(i). Factor d(o).
(o - 2)*(o - 1)
Let d(p) = 2 + 27*p**3 + 7*p + p**2 + 1 - 26*p**3 - 9*p**2. Let t be d(7). Factor -1/4*s**t - 1/4*s**5 + 0 + 0*s**2 - 1/2*s**4 + 0*s.
-s**3*(s + 1)**2/4
Find q such that 0 - 1/3*q**2 + 1/3*q**4 - 1/3*q**3 + 1/3*q = 0.
-1, 0, 1
Let i(v) = 3*v**4 - 51*v**3 + 144*v**2 + 198*v + 6. Let j(x) = -6*x**4 + 103*x**3 - 288*x**2 - 397*x - 13. Let n(s) = -13*i(s) - 6*j(s). Solve n(m) = 0.
-1, 0, 8
Let t = -5 - 0. Let h = -3 - t. Determine z, given that 2/3*z**h + 2/3*z + 0 = 0.
-1, 0
Let u = 20 + -18. What is r in -3*r**u - 8 + 18*r - r**2 - 6*r = 0?
1, 2
Suppose -2*h**2 - 30*h**3 + 8*h - 11*h**2 + 20*h**4 - 6*h**3 + 28*h**5 - 7*h**2 = 0. Calculate h.
-1, 0, 2/7, 1
Let y(w) = -w**2 + 10*w + 26. Let o be y(12). Determine s, given that 4/3 + 3*s**o - 4*s = 0.
2/3
Let v(s) be the second derivative of -s**6/10 - 9*s**5/20 - 3*s**4/4 - s**3/2 - 8*s. Factor v(i).
-3*i*(i + 1)**3
Let i(c) be the second derivative of 1/55*c**5 + 0 - 1/33*c**3 + 1/11*c**2 + 1/165*c**6 - c - 1/231*c**7 - 1/33*c**4. Suppose i(h) = 0. Calculate h.
-1, 1
Let f(t) = 5*t**2 + 9*t + 9. Let p(i) = 2*i**2 + 4*i + 4. Let z(a) = -4*f(a) + 9*p(a). Solve z(y) = 0 for y.
0
Suppose u - 8 = -3*u - 5*o, -3*u - 3*o = -6. Determine f, given that f**4 + 20*f**2 - 2*f**4 - 19*f**u = 0.
-1, 0, 1
Let z(m) = 10*m - 47. Let y be z(5). Factor -5/2*p**2 + p - 1/2*p**4 + 0 + 2*p**y.
-p*(p - 2)*(p - 1)**2/2
Factor 4*u**2 - 2/3*u**3 + 10*u + 16/3.
-2*(u - 8)*(u + 1)**2/3
Suppose 9 = 3*x - 0. Solve 0*d**x + d - 2*d**3 - 3*d**2 + 2*d**3 - d**4 + 3*d**3 = 0 for d.
0, 1
Let s(p) be the first derivative of -1 + 6*p**4 + 0*p**5 + 0*p - 1/2*p**6 + 0*p**3 - 24*p**2. Solve s(z) = 0 for z.
-2, 0, 2
Solve -4/3 + 0*s**2 - 2/9*s**3 + 14/9*s = 0.
-3, 1, 2
Factor 0*l**4 - 5*l**3 + 8*l**4 - 3*l**4.
5*l**3*(l - 1)
Let w(h) be the third derivative of 0*h - 1/120*h**5 + 8*h**2 - 1/3*h**3 + 0 + 1/12*h**4. Factor w(j).
-(j - 2)**2/2
Let i(g) = -5*g**5 - 15*g**4 - 5*g**3 - 45*g**2 + 40*g. Let q(l) = -l**4 - l**2 + l. Let k(s) = -i(s) + 30*q(s).