) = 0. What is t?
1/2, 2
Let g = 0 - -2. Suppose 0 = 4*i - 5*q + 6, 0 = -g*i + 5*q + 3 - 11. Factor i + 2*t - t**2 - 1 - 1.
-(t - 1)**2
Let i(d) be the third derivative of d**6/300 - d**5/150 + 4*d**2. Solve i(m) = 0.
0, 1
Let a be (-1 - 3) + 2 + 5. Let r be (3 + -1)/(a + 1). Factor 0 - r*b + 1/2*b**2.
b*(b - 1)/2
Let v(y) = -10*y + 15. Let l be v(5). Let u be l/(-10) - (-2 + 5). Find t, given that 5/4*t + t**2 + u + 1/4*t**3 = 0.
-2, -1
Let p be 1/(-6) - 8/(-12). Suppose -p*d**3 + 1/2*d**2 + 1/2*d - 1/2 = 0. What is d?
-1, 1
Let b(g) = g**2 - g. Let m(z) = 2*z. Let k(y) = -4*b(y) - 4*m(y). Determine o so that k(o) = 0.
-1, 0
Let y(k) be the third derivative of -k**6/540 + k**4/27 + 17*k**2 + 2*k. Let y(s) = 0. Calculate s.
-2, 0, 2
Suppose -2 = -4*y + 3*y. Suppose -t = y*t. Factor r + 0*r - 2*r**2 + r**3 + t*r.
r*(r - 1)**2
Let p be (-116)/(-14)*1267/2394. Let a = p - 17/171. Suppose -8/7*x**5 - 26/7*x**4 - 2*x**2 - 2/7*x - a*x**3 + 0 = 0. What is x?
-1, -1/4, 0
Suppose 2*w + 3*u = -3, -2*w - 3 = 4*u + 3. Solve -8/5*b + 4/5 - 1/5*b**w + b**2 = 0.
1, 2
Suppose -3*m - 5*i + 35 = 6, -5*m - 5*i = -45. Suppose 12 + m*c**2 + 54*c**2 + 13*c**2 - 60*c = 0. What is c?
2/5
Let n(r) be the second derivative of 1/36*r**4 + r - 1/60*r**5 + 0 - 1/6*r**2 + 1/18*r**3. What is x in n(x) = 0?
-1, 1
Let h(o) = o**3 + o**2 + o + 3. Let y be h(0). Solve 9*m**5 - m**3 - 6*m - y*m**3 + m**3 + 15*m**2 - 15*m**4 = 0.
-1, 0, 2/3, 1
Factor 60*j**2 - 14 + 14 - 38*j**3 - 24*j - 3*j**5 + 21*j**4 - 16*j**3.
-3*j*(j - 2)**3*(j - 1)
Suppose -z - 4*u = 2*z + 10, 5*z + 6 = -4*u. Determine q, given that 2/9*q**4 + 0*q + 0 + 0*q**3 + 0*q**z = 0.
0
Let q(j) be the first derivative of 1/4*j**6 - 7 + 3/5*j**5 + 0*j + 0*j**2 + 3/8*j**4 + 0*j**3. Suppose q(i) = 0. What is i?
-1, 0
Let h(q) be the third derivative of -q**5/390 + 5*q**4/78 - 16*q**3/39 + 25*q**2 - 2*q. Solve h(y) = 0.
2, 8
Let f = -1/42 - -5/14. Let l(i) be the second derivative of 0 + 2*i**2 - f*i**3 + 2*i - 1/6*i**4. Factor l(o).
-2*(o - 1)*(o + 2)
Factor -7*j**4 - 2*j**5 + 5*j**4 + 2*j + 2*j**2 - 2*j**4 + 2*j**2.
-2*j*(j - 1)*(j + 1)**3
Let n(p) be the second derivative of 1/15*p**3 + 1/12*p**4 - 1/210*p**7 + 0*p**2 - 1/150*p**6 + 6*p + 3/100*p**5 + 0. Find f such that n(f) = 0.
-1, 0, 2
Let b be (-1)/((9 - 4)/20). Let a be b + -1 + (-78)/(-15). Factor 0 + 1/5*m**2 - a*m.
m*(m - 1)/5
Suppose 3*o = -n - 4*n + 3, 0 = -4*n + 5*o + 32. Suppose 0 = 5*k - n - 7. Find l, given that -3*l**2 + 4*l**2 - l**3 - 3*l**k = 0.
-2, 0
Let y(h) be the third derivative of -1/300*h**5 + 0*h + 0 + h**2 + 1/30*h**3 + 0*h**4. Find f, given that y(f) = 0.
-1, 1
Let q(m) be the third derivative of -1/210*m**7 - 2*m**2 + 1/60*m**5 - 1/120*m**6 + 0*m + 0*m**3 + 1/24*m**4 + 0. Solve q(k) = 0.
-1, 0, 1
What is m in 9 + 167*m**4 - 38*m**2 - 171*m**4 + 21*m + 27*m**3 - 15*m**2 = 0?
-1/4, 1, 3
Suppose n + 6 = 3*n. Suppose -n*b = -0*b. Factor b*u**4 - u**3 - u**4 + 0*u**2 + u**2 + u.
-u*(u - 1)*(u + 1)**2
Suppose 0 = -5*u - 4*h + 18, 0 = 3*u + 5*h - h - 14. Suppose 2/5*t**u + 0 + 2/5*t**3 - 4/5*t = 0. Calculate t.
-2, 0, 1
Suppose 6*b + 36 = 18*b. Factor 2/3*w + 2/3*w**b + 0 + 4/3*w**2.
2*w*(w + 1)**2/3
Suppose 5*x - x - 12 = u, -2*x + u = -4. Determine v so that 5/4*v**3 + 0 - 1/2*v + 1/4*v**x - 1/4*v**2 - 3/4*v**5 = 0.
-1, -2/3, 0, 1
Let r be (-2)/(-4) - (-15)/10. Let a = 187 + -182. Factor 1/6*d**3 - 1/6*d**a - 1/6*d**r + 1/6*d**4 + 0 + 0*d.
-d**2*(d - 1)**2*(d + 1)/6
Let r(j) be the second derivative of j + 1/30*j**6 + j**4 + 0 - 4/3*j**3 + 0*j**2 - 3/10*j**5. Let r(h) = 0. Calculate h.
0, 2
Determine p, given that -2/5*p - 2/5*p**2 + 0 = 0.
-1, 0
Let k(b) be the second derivative of b**9/2520 + b**8/3360 - b**7/1008 - b**6/720 + b**4/3 + b. Let y(x) be the third derivative of k(x). Solve y(p) = 0.
-1/2, 0, 2/3
Let k = -28 - -31. Let j(x) be the second derivative of 0 - 1/24*x**4 - 7/80*x**5 + 2*x + 7/24*x**k + 1/4*x**2. Factor j(i).
-(i - 1)*(i + 1)*(7*i + 2)/4
Suppose -2*b = -0*b + 3*u - 5, 0 = 3*b + 2*u - 10. Factor 2/5*h**2 + 0 + 0*h - 1/5*h**5 - h**3 + 4/5*h**b.
-h**2*(h - 2)*(h - 1)**2/5
Suppose -4*r = -3*h + 14, 3*h = -0*r + 3*r + 12. Suppose -3/5*p**3 - 9/5*p**h - 3/5 - 9/5*p = 0. What is p?
-1
What is i in -25*i - 40*i**2 + 21*i - 11 + 4*i**5 + 35 + 16*i**4 = 0?
-3, -2, -1, 1
Suppose -y = 5*n - 4*y, n - 4*y = 0. Solve 2*m**2 + 0 + n*m**2 + 2 + 4*m = 0.
-1
Let g be (-154)/(-84) - 2/(-12). Factor 0 + 1/2*r + 0*r**g - 1/2*r**3.
-r*(r - 1)*(r + 1)/2
Solve 6/5*i + 4/5 + 2/5*i**2 = 0.
-2, -1
Let m(r) be the first derivative of -r**4/2 + 2*r**3 - 3*r**2 + 2*r + 11. Factor m(n).
-2*(n - 1)**3
Let -2/5*p**2 + 2/15*p**3 - 2/15 + 2/5*p = 0. Calculate p.
1
Let a be 2/4*(0 - -4). Let c be 2 + -2 + a/1. Suppose 2*x**3 + 2*x**2 - 7*x + 3*x - c + 2*x = 0. Calculate x.
-1, 1
Let x(i) be the first derivative of -3*i**5/5 - 27*i**4/16 - i**3/2 - 18. Factor x(z).
-3*z**2*(z + 2)*(4*z + 1)/4
Let m be (-11)/(-5)*2 - (-8)/(-20). Let p(c) be the second derivative of -1/2*c**2 + 1/3*c**3 - 1/12*c**4 - m*c + 0. Find k, given that p(k) = 0.
1
Let n(u) be the second derivative of 3/4*u**4 - 1/2*u**3 - 9/20*u**5 + 0*u**2 - 3*u + 0 + 1/10*u**6. Factor n(s).
3*s*(s - 1)**3
Let m be 1*(-1 - -1) - 4. Let p be m/6 + (-4)/(-3). Let -4/3*b**2 + b**3 + p - 1/3*b = 0. What is b?
-2/3, 1
Let p(y) be the third derivative of -7*y**6/240 + 23*y**5/120 - 5*y**4/12 + y**3/3 + y**2. Determine c so that p(c) = 0.
2/7, 1, 2
Let q be ((-95)/30 - -5) + (-4)/12. Factor 1/2 + q*f**2 - 1/2*f**3 - 3/2*f.
-(f - 1)**3/2
Let d be (-4)/8*(-2)/1. Let m be 2*5/2*d. Factor 3*s**2 + s + s**4 + m*s + 3*s**3 - 5*s.
s*(s + 1)**3
Factor -164*x + 3*x**3 - 88*x - 196 - 46*x**2 - 14*x**2 - 7*x**3.
-4*(x + 1)*(x + 7)**2
Let j(z) = 3*z**2 - 7*z - 7. Let m(y) be the second derivative of -y**4/12 + y**3/3 + y**2 - 4*y. Let l(q) = 2*j(q) + 7*m(q). Factor l(f).
-f**2
Suppose 0*h**2 + 0 + 2/11*h**3 + 1/11*h**4 + 0*h = 0. Calculate h.
-2, 0
Let v be ((-14)/(-6) + -1)/((-2)/(-3)). Let p(x) be the first derivative of 2*x - 5/2*x**v - 7/3*x**3 - 3. Suppose p(k) = 0. What is k?
-1, 2/7
Let i(f) be the third derivative of -1/4*f**4 + 0 + 1/20*f**5 + 0*f - 1/112*f**8 + 3/40*f**6 - 4*f**2 + 0*f**3 - 1/70*f**7. Let i(r) = 0. Calculate r.
-2, -1, 0, 1
Find w such that 0*w + 0 + w**4 - 7/8*w**3 + 1/4*w**2 - 3/8*w**5 = 0.
0, 2/3, 1
Let v(m) be the second derivative of -3*m**5/20 - 5*m**4/4 - 3*m**3/2 + 27*m**2/2 - 4*m. Find a, given that v(a) = 0.
-3, 1
Let r(n) be the second derivative of 1/10*n**5 + 0 + 4*n - 1/90*n**6 - 2/3*n**2 - 13/36*n**4 + 2/3*n**3. Factor r(f).
-(f - 2)**2*(f - 1)**2/3
Let t(a) be the first derivative of 1 + 0*a + 0*a**2 - 1/6*a**6 + 1/4*a**4 + 1/5*a**5 - 1/3*a**3. Let t(p) = 0. Calculate p.
-1, 0, 1
Let o(g) be the first derivative of 2*g**6/9 + 13*g**5/15 + 5*g**4/4 + 7*g**3/9 + g**2/6 - 11. Determine r, given that o(r) = 0.
-1, -1/4, 0
Find g, given that -43/6*g**2 - 5*g**3 - 4*g - 7/6*g**4 - 2/3 = 0.
-2, -1, -2/7
Let f(g) be the second derivative of g**6/30 + 7*g**5/5 + 49*g**4/2 + 686*g**3/3 + 2401*g**2/2 - 3*g + 5. What is a in f(a) = 0?
-7
Suppose 9*a + 3*a**5 - 13 + 30*a**2 + 15*a**4 + 6*a + 16 + 30*a**3 = 0. Calculate a.
-1
Let a(i) be the third derivative of -i**8/30240 + i**7/11340 + i**6/3240 - i**5/540 + i**4/8 + 3*i**2. Let h(q) be the second derivative of a(q). Factor h(c).
-2*(c - 1)**2*(c + 1)/9
Let a(q) be the second derivative of q**6/10 - q**4 + 11*q. Let a(w) = 0. Calculate w.
-2, 0, 2
Let z(f) be the third derivative of -f**7/1260 + f**4/6 - f**2. Let j(d) be the second derivative of z(d). Solve j(c) = 0 for c.
0
Suppose 2*u + 0*u - 24 = 0. Let f be u/10*6/9. Suppose -f*p**2 + 4/5 - 18/5*p + 18/5*p**3 = 0. What is p?
-1, 2/9, 1
Let z be 40/12 + 4/6. Factor -3*y**2 + y**2 + z*y + 2 + 4*y**2 - 8*y.
2*(y - 1)**2
Let n be 30/14 + (-8 - -6). Let y(a) be the second derivative of -2/21*a**3 + 1/42*a**4 + 2*a + 0 + n*a**2. Factor y(o).
2*(o - 1)**2/7
Let c(b) = 16*b**2 + 41*b + 51. Let v(u) = 3*u**2 + 8*u + 10. Let x(a) = -4*c(a) + 22*v(a). Factor x(o).
2*(o + 2)*(o + 4)
Let x = 18 + -15. Let r be -2 - (-1 + (-5)/x). Suppose r*f**2 + 0 - 2/3*f = 0. Calculate f.
0, 1
Factor -20 - 4*p**2 + 9*p + 17*p - 2*p.
-4*(p - 5)*(p - 1)
Let t(p) = 1 + p + 0*p + 2 + p**2 - 2. Let n be t(-2).