ven that -9/5*b**3 + 0 + 3/5*b**4 + 0*b + m*b**2 = 0.
0, 1, 2
Let o be (2/3)/(60/310). Let f = o - 29/9. What is j in -f + 4/9*j - 2/9*j**2 = 0?
1
Let m be (-20)/(-9) + -2 + (-18)/81. Determine x so that 0*x + m + 1/2*x**2 = 0.
0
Let p(d) = -d**2 + 4*d + 3. Let b be p(4). Suppose -7*l - 15 + 50 = 0. Factor 0*x**4 - 2*x**l - 7*x**4 - 2*x**b + 3*x**4.
-2*x**3*(x + 1)**2
Let f(t) = t**2 - 5*t. Let s = 4 + -7. Let z(x) = 9 - x**2 + 2*x + 4*x - 8. Let n(k) = s*f(k) - 2*z(k). Let n(l) = 0. Calculate l.
1, 2
Let a(d) be the first derivative of -d**3 + 12*d + 15. Factor a(c).
-3*(c - 2)*(c + 2)
Let q(s) be the first derivative of 2*s**5/5 + s**4/2 - 4*s**3/3 - 1. Suppose q(j) = 0. What is j?
-2, 0, 1
Let k(a) be the third derivative of a**5/90 + a**4/18 + a**3/9 + 37*a**2. Factor k(q).
2*(q + 1)**2/3
Factor 2*b**2 - 20 + 20 + 6*b - 2*b.
2*b*(b + 2)
Let z = 1 - -1. Factor -z*b**3 - b**5 + 4*b**5 - b**5.
2*b**3*(b - 1)*(b + 1)
Let q = -27/7 + 95/21. Suppose -q*w + 4/9 - 4/9*w**2 + 2/3*w**3 = 0. What is w?
-1, 2/3, 1
Suppose -47*j = -42*j. Let -5/3*w**3 + j*w + 0 - 2/3*w**2 = 0. What is w?
-2/5, 0
Let t(x) be the first derivative of x**3/18 - 5*x**2/12 + 2*x/3 + 11. Determine m so that t(m) = 0.
1, 4
Factor 3/2*w**4 + 0 - 2*w**2 + 0*w**3 + 1/2*w**5 + 0*w.
w**2*(w - 1)*(w + 2)**2/2
Let y(m) be the third derivative of m**5/360 + m**4/72 - 8*m**2 - 2*m. Suppose y(c) = 0. Calculate c.
-2, 0
Let y(n) = -2*n**2 - 9*n - 4. Let a(r) = -r**2 + 1. Let s(v) = 2*a(v) + y(v). Find d such that s(d) = 0.
-2, -1/4
Let x = 5 + -2. Let g = x + -3. Determine b so that g*b**2 + 4*b**2 + b**2 + 2*b + b**2 - 8*b**4 = 0.
-1/2, 0, 1
Let f(o) be the second derivative of -o**5/30 + o**4/18 - 4*o. Factor f(a).
-2*a**2*(a - 1)/3
Factor 0 - 3/7*j**2 - 3*j.
-3*j*(j + 7)/7
Let r(b) = -2*b**3 - b**2 + 5*b**5 + 5*b**2 - 3*b - b + b**3. Let p(k) = 6*k**5 - k**3 + 5*k**2 - 5*k. Let q(l) = 4*p(l) - 5*r(l). Factor q(d).
-d**3*(d - 1)*(d + 1)
Let a(u) be the third derivative of -1/96*u**4 + 0 + 3*u**2 + 0*u + 1/120*u**5 - 1/480*u**6 + 0*u**3. Solve a(g) = 0.
0, 1
Determine i so that 8*i**5 + 6*i**3 - i**4 - 23*i**4 - i**2 - 3*i**2 + 12*i**3 = 0.
0, 1/2, 2
Let s be (5/(-70))/(21/24 + -1). Factor s*z**2 - 4/7*z**4 - 2/7*z + 0*z**3 + 2/7*z**5 + 0.
2*z*(z - 1)**3*(z + 1)/7
Let v(p) = p**3 - 14*p**2 - 14*p - 13. Let d be v(15). Factor d - r - 5*r**2 + 3*r**2 + r.
-2*(r - 1)*(r + 1)
Let i(a) be the second derivative of 13*a**5/5 + 7*a**4/3 - 4*a**3 + 3*a + 5. Determine t, given that i(t) = 0.
-1, 0, 6/13
Suppose 5*r - 2*x = 3*r - 84, x = -5*r - 180. Let y = -34 - r. Factor -2/7*t + 0 - 2/7*t**y + 4/7*t**2.
-2*t*(t - 1)**2/7
Let q = 0 - 0. Suppose q = -0*a - a + 14. Determine b so that 2 + 11*b**3 + 28*b**2 + 0 + 5*b**3 + a*b = 0.
-1, -1/2, -1/4
Let l(y) be the third derivative of y**2 + 3/80*y**6 + 0 + 1/40*y**5 + 0*y**3 + 3/140*y**7 + 0*y + 0*y**4 + 1/224*y**8. Let l(t) = 0. Calculate t.
-1, 0
Let l(i) be the third derivative of -i**5/20 - i**4 - 7*i**3/2 + 34*i**2. Solve l(a) = 0 for a.
-7, -1
Let k(i) = 12*i + 26. Let d be k(-2). Factor -3*q - 3/4*q**d - 3.
-3*(q + 2)**2/4
Let o(a) = a**2 - 7*a - 8. Let v be o(8). Let 4 - 9*m**2 - 6*m + v - 4*m**3 - 5 = 0. Calculate m.
-1, -1/4
Suppose 0 = 4*f - o - 0*o - 5, 5*o = -25. Let p(g) be the third derivative of -g**2 + 1/96*g**4 + f + 0*g**5 + 0*g - 1/480*g**6 + 0*g**3. What is z in p(z) = 0?
-1, 0, 1
Let q(x) be the third derivative of x**5/180 + x**4/72 - 25*x**2. Factor q(r).
r*(r + 1)/3
Let m(j) be the second derivative of 1/60*j**4 + 1/900*j**6 + 1/150*j**5 + 0*j**2 + j + 0 + 1/6*j**3. Let g(v) be the second derivative of m(v). Factor g(f).
2*(f + 1)**2/5
Factor -1/4 + 1/4*a**2 + 1/4*a - 1/4*a**3.
-(a - 1)**2*(a + 1)/4
Suppose 14 = 4*k - 0*k + 5*r, 3*k + r = 16. Let o(w) = w - 6. Let l be o(k). Suppose 2*p**2 + l*p**2 - p - p = 0. What is p?
0, 1
Let i(a) = -3*a**2 + 3*a. Let g(n) = -6*n**2 + 5*n + 1. Let h(m) = -3*g(m) + 7*i(m). Determine p so that h(p) = 0.
1
Let i(u) be the second derivative of u**5/20 - 3*u**4/2 + 3*u**3 - 15*u**2/2 - 3*u. Let a be i(17). Suppose -32/3*g**a - 16/3*g - 2/3 = 0. Calculate g.
-1/4
Let d(c) = -6*c**4 - 8*c**3 + 10*c**2 + 4*c + 4. Let u = 7 + -4. Let s(v) = 6*v**4 + 7*v**3 - 9*v**2 - 4*v - 3. Let x(i) = u*d(i) + 4*s(i). Factor x(p).
2*p*(p - 1)*(p + 1)*(3*p + 2)
Let o(l) be the second derivative of -l**9/6048 + l**7/1680 + l**3/3 + 2*l. Let b(z) be the second derivative of o(z). Factor b(i).
-i**3*(i - 1)*(i + 1)/2
Let c = 5 - 2. Let j = 5 - c. Factor 1/2 + s + 1/2*s**j.
(s + 1)**2/2
Let i(c) = -4 + 2 + 1. Let z(f) = -2*f**2 + 2*f - 8. Let n be -2 + (-1 - 2/(-1)). Let o(d) = n*z(d) + 8*i(d). Determine k, given that o(k) = 0.
0, 1
Let v(q) be the first derivative of -q**6/900 - q**5/100 - q**4/30 - q**3 + 1. Let z(c) be the third derivative of v(c). Factor z(n).
-2*(n + 1)*(n + 2)/5
Suppose 2*g - 8 = 8. Suppose g*p = 12*p. Factor -2/9*n**3 + p*n + 0 + 2/9*n**2.
-2*n**2*(n - 1)/9
Let y be 18/5 - (-9)/(45/2). Solve -3/2*o**5 + 3/2*o**3 + 3/2*o**2 - 3/2*o**y + 0 + 0*o = 0.
-1, 0, 1
Let g(o) = -3*o**2 - 8*o - 3. Let h(z) = z**2 + 4*z + 1. Let i(j) = -3*g(j) - 7*h(j). Find a such that i(a) = 0.
1
Let x(d) be the third derivative of d**7/280 + 3*d**6/160 - d**5/40 - 3*d**4/8 - d**3 + 8*d**2. Find k such that x(k) = 0.
-2, -1, 2
Let h = -5 - -6. Let l be -3 + h - (-8)/2. Factor 0 + 2/5*u + 2/5*u**l.
2*u*(u + 1)/5
Let r(k) be the third derivative of -k**8/840 + k**7/420 - k**3/3 - k**2. Let a(z) be the first derivative of r(z). Let a(n) = 0. What is n?
0, 1
Let s(u) be the second derivative of 1/3*u**3 - 2*u + 1/2*u**2 + 1/5*u**5 + 0 - 7/12*u**4. Let s(r) = 0. What is r?
-1/4, 1
Let u(a) be the third derivative of 0*a + 1/6*a**3 + 1/1344*a**8 - 1/840*a**7 + 1/12*a**4 - 1/96*a**6 + 1/240*a**5 - 5*a**2 + 0. Factor u(o).
(o - 2)**2*(o + 1)**3/4
Let l(y) be the third derivative of -y**6/120 + 6*y**2. What is b in l(b) = 0?
0
Factor 56*l**3 - 12*l**2 - 44*l**3 - 8*l**4 + 5*l**4.
-3*l**2*(l - 2)**2
Let f(i) be the third derivative of -i**6/80 - i**5/8 - i**4/2 - i**3 - 12*i**2. Factor f(q).
-3*(q + 1)*(q + 2)**2/2
Let t(s) be the first derivative of s**6/720 - s**5/240 - s**4/24 + 7*s**3/3 - 6. Let m(b) be the third derivative of t(b). Factor m(u).
(u - 2)*(u + 1)/2
Let n(o) = -o - 4. Let j be n(-4). Let d be j/(3*-1) - -4. What is q in 0*q**3 + 0*q**d - 2*q**4 + 2*q**3 = 0?
0, 1
Let -1/9*j**2 + 2/9*j + 1/9*j**4 + 0 - 2/9*j**3 = 0. What is j?
-1, 0, 1, 2
Let s be (-4)/3*(-30)/80. Factor 1/2*h - 1/2*h**3 - 1/2 + s*h**2.
-(h - 1)**2*(h + 1)/2
Factor -3*r**4 + 6*r**3 + 3*r**2 + 1 + 3 - 4 - 6*r.
-3*r*(r - 2)*(r - 1)*(r + 1)
Let c be (0 - 0)*(-2 + 1). Let s(u) be the second derivative of 1/24*u**3 - 1/80*u**5 + c*u**2 - 1/12*u**4 + 0 + 1/30*u**6 - u. Factor s(f).
f*(f - 1)*(f + 1)*(4*f - 1)/4
Let a(j) = 5*j**3 + j**2. Let c(t) = -9*t**3 - t**2. Let b(m) = 5*a(m) + 3*c(m). Factor b(f).
-2*f**2*(f - 1)
Determine f so that 0*f + 0*f**3 + 0 - 2/5*f**4 + 2/5*f**2 = 0.
-1, 0, 1
Let u = 1 + 3. Let h(s) be the third derivative of 1/150*s**6 + 0*s - 1/840*s**8 + s**2 - 1/15*s**3 - 1/525*s**7 + 0 + 1/75*s**5 - 1/60*s**u. Factor h(f).
-2*(f - 1)**2*(f + 1)**3/5
Find g such that 3/2*g + 3/2*g**2 + 0 = 0.
-1, 0
Suppose 0 = -3*o + 127 - 118. Let m(p) be the first derivative of -2/5*p + 2/5*p**o - 1/5*p**4 + 3 + 0*p**2. Factor m(j).
-2*(j - 1)**2*(2*j + 1)/5
Suppose -3*m = -0*m - 9, -o - m = -10. Suppose 2*f - 9 = 5*f, 2*u + 5*f + o = 0. Solve -2*c**3 - 2*c**u + 2*c**2 + c**5 + 0*c**5 + c**5 = 0 for c.
-1, 0, 1
Let y(t) be the third derivative of -1/15*t**5 + 1/35*t**7 - 1/30*t**6 + 0 + 0*t - 1/3*t**3 + 1/4*t**4 + 5*t**2 - 1/168*t**8. Let y(a) = 0. What is a?
-1, 1
Let y = -52 + 107/2. Let r = y - 1/6. Find o, given that -1/3*o**3 - 2/3 - r*o**2 - 5/3*o = 0.
-2, -1
Let i = 36 + -26. Let f be (-3)/(-2)*i/3. Suppose 2*h**4 - 3*h**5 + h**f - 2*h**4 = 0. Calculate h.
0
Let n be 57/(-18) - -3 - 3/(-18). Let -2/7*f**2 + n + 0*f = 0. Calculate f.
0
Let c(s) be the second derivative of 1/15*s**6 + 1/3*s**3 - 1/2*s**4 - 2*s + 0 - 1/10*s**5 + 2*s**2. Suppose c(q) = 0. Calculate q.
-1, 1, 2
Let a(l) be the second derivative of -2*l**4/3 - 4*l**3 - 9*l**2 + l. Find q, given that a(q) = 0.
-3/2
Let u(a) = -7*a**3 - 3*a**2 - 5. Let t(m) = 11*m**3 + 5*m**2 +