 (-23)/(-5) + m/6. Factor 12/5 + b*p**2 + 12/5*p.
3*(p + 2)**2/5
What is l in 11 - l**4 + 3*l**2 + 7 - l + l**3 - 20 = 0?
-1, 1, 2
Let x(r) be the second derivative of 4*r**2 + r + 0 + 1/6*r**4 + 4/3*r**3. Factor x(i).
2*(i + 2)**2
Let s = -27 + 29. Let -20*q**4 + 44/3*q**s + 38/3*q**3 - 56/3*q + 16/3 + 6*q**5 = 0. What is q?
-1, 2/3, 1, 2
Let v(x) = -4*x + 3. Let t(a) = -a**2 + 15*a - 11. Suppose -g - 110 = 4*g. Let k(q) = g*v(q) - 6*t(q). Factor k(c).
2*c*(3*c - 1)
Let p(s) = -18*s**2 - 30*s - 22. Let y(g) = 6*g**2 + 10*g + 7. Let u(z) = -6*p(z) - 20*y(z). Factor u(a).
-4*(a + 1)*(3*a + 2)
Let m(p) be the second derivative of -p**5/190 + p**4/114 + 18*p. Suppose m(j) = 0. What is j?
0, 1
Let b = -16 - -16. Let g(s) be the second derivative of -1/30*s**5 + 2*s - 1/9*s**3 + b*s**2 + 0 - 1/9*s**4. Factor g(o).
-2*o*(o + 1)**2/3
Let j = 9 + -9. Let g(d) be the first derivative of 2 + 1/3*d**3 - 1/4*d**4 + 0*d**2 + j*d + 1/6*d**6 - 1/5*d**5. Determine z so that g(z) = 0.
-1, 0, 1
Determine t so that 2*t**5 + 0*t**5 - 26*t**4 + 8*t**3 + 18*t**4 = 0.
0, 2
Let r(l) be the third derivative of l**6/360 + l**5/36 + l**4/12 - 20*l**2. Suppose r(f) = 0. What is f?
-3, -2, 0
Let x(u) = -12*u**3 + 2*u**2 + 2*u + 8. Let s(f) = f**3 - 1. Let a(d) = 20*s(d) + 2*x(d). Factor a(k).
-4*(k - 1)**2*(k + 1)
Let r(u) = u**5 - u**3 + u**2 + u + 1. Let b(s) = -15*s**4 - 24*s**3 - 6*s**2 + 3*s + 3. Let v(d) = b(d) - 3*r(d). Let v(o) = 0. What is o?
-3, -1, 0
Let d(q) be the second derivative of 5/2*q**4 + 2/7*q**7 - 3/2*q**2 + 3*q**5 + 3/2*q**6 + 0*q**3 - 5*q + 0. Suppose d(v) = 0. What is v?
-1, 1/4
Suppose -h + 3*t + 22 = 0, 6*h - 46 = 2*h - 2*t. Suppose -j - j + 6 = 4*v, 0 = -4*v + 5*j + h. Find q such that -2*q - 4 + v + 0 + q**2 + 3 = 0.
1
Let v(i) be the first derivative of -i**5/210 + i**4/42 - i**3/21 - i**2 - 3. Let a(k) be the second derivative of v(k). Find z, given that a(z) = 0.
1
Let t(d) be the third derivative of -25*d**8/1176 - 19*d**7/147 - 139*d**6/420 - 97*d**5/210 - 8*d**4/21 - 4*d**3/21 + 7*d**2. Factor t(n).
-2*(n + 1)**3*(5*n + 2)**2/7
Let x(q) = 2*q**3 + 3*q**2 - 3*q - 3. Let a(g) = 3*g**3 + 3*g**2 - 4*g - 4. Let j(l) = 3*a(l) - 4*x(l). Find v such that j(v) = 0.
0, 3
Let -k**3 - 15*k - 4*k**3 - 6 - 12*k**2 + 2*k**3 = 0. What is k?
-2, -1
Find o such that -12/5*o**4 - 6/5*o**2 + 12/5*o - 6*o**3 + 0 = 0.
-2, -1, 0, 1/2
Let a(b) = 3*b**3 - 15*b**2 - 3*b + 1. Let y(j) = -3*j + 2*j**3 + 2*j - j**3 + 0*j**3 - 7*j**2 + 1. Let v(i) = 6*a(i) - 14*y(i). Let v(k) = 0. What is k?
-2, -1, 1
Let f(c) = 3*c**3 + 6*c**2 + 15*c - 15. Let a be (-9)/(-1)*(-7 + 8). Let j(g) = g**3 + 3*g**2 + 7*g - 7. Let b(p) = a*j(p) - 4*f(p). Solve b(h) = 0 for h.
-1, 1
Suppose -r + 4 = -5*b - 8, -4 = -5*r - 3*b. Let m = 20 + -39/2. Suppose -m*k + 0 + 1/2*k**r = 0. What is k?
0, 1
Let y be 6/4*12 + 2. Suppose 0 = 4*o + 5*v - y, 2*o + 2*v = -0 + 10. Factor -2/9*m**o - 2/9*m + 0 + 4/9*m**3 + 0*m**2 + 0*m**4.
-2*m*(m - 1)**2*(m + 1)**2/9
Let b be 8/36 + 35/(-36) + 2. Find y such that -13/4*y**2 + 3/4*y**4 - 1/2 - b*y**3 - 9/4*y + 1/2*y**5 = 0.
-1, -1/2, 2
Let d(m) = -m**2 + 4*m + 4. Let w be d(4). Suppose -w*z + 9*z = 0. Find b such that b**4 + z + 0*b**3 - 1/2*b**5 + 1/2*b - b**2 = 0.
-1, 0, 1
Let y = 4 - 4. Let o(l) be the first derivative of 0*l**3 - 1/33*l**6 + 0*l**2 + y*l**5 + 0*l + 1/22*l**4 + 3. Solve o(p) = 0.
-1, 0, 1
Let s(l) = l**3 - 4*l**2 - 4*l - 5. Let u be s(5). Factor 2*n**3 - n - n**3 + u*n**4 - 3*n**4 + 3*n**2.
-n*(n - 1)*(n + 1)*(3*n - 1)
Let o be 2/(-7) - (-1876)/1078. Find k, given that -10/11*k**3 + 0*k + 2/11*k**2 + 0 - 8/11*k**5 + o*k**4 = 0.
0, 1/2, 1
Suppose -146*h + 16 = -138*h. Factor 2*l + h + 1/2*l**2.
(l + 2)**2/2
Let y(o) be the first derivative of -1/2*o**2 - 3*o - 1/48*o**4 + 2 - 1/6*o**3. Let n(a) be the first derivative of y(a). Let n(c) = 0. Calculate c.
-2
Let t = -9238/21 + 440. Let x(f) be the second derivative of 0*f**2 + 3*f + 5/42*f**4 + 0 - t*f**3. Factor x(w).
2*w*(5*w - 2)/7
Let f be 2/(-12)*2 + -1 + 2. Find b such that f*b**2 + 1/3*b + 1/3*b**3 + 0 = 0.
-1, 0
Let y(r) = -r**2 + r. Let x be y(0). Let t(g) be the third derivative of 0*g + 1/3*g**4 + 1/24*g**5 - g**2 - 5/48*g**6 + x + 1/3*g**3. Factor t(h).
-(h - 1)*(5*h + 2)**2/2
Let t = 733/195 - 6/65. Factor t*w**3 - 2/3*w - 5/3*w**2 + 0 - 4/3*w**4.
-w*(w - 2)*(w - 1)*(4*w + 1)/3
Let r(v) = -v**3 + 9*v**2 - v + 12. Let d be r(9). Let m(t) be the first derivative of 0*t - 1/6*t**2 + 1/9*t**d + 2. Factor m(i).
i*(i - 1)/3
Let g be (-10)/(-45) - (-69)/54. What is v in -g*v**4 + 9/2*v**2 + 0*v**3 - 3*v + 0 = 0?
-2, 0, 1
Suppose 0 + 16*i**4 + 3*i**2 - 12*i**3 - 1/4*i = 0. What is i?
0, 1/4
Let k(g) be the second derivative of g**7/6300 - g**6/900 + g**5/300 - g**4/4 - g. Let n(p) be the third derivative of k(p). Let n(b) = 0. What is b?
1
Let k(a) = -a**3 + 15*a**2 - 14*a + 2. Let r be k(14). Factor -4/13*h**3 + 0*h**r - 2/13 + 4/13*h + 2/13*h**4.
2*(h - 1)**3*(h + 1)/13
Let p be 4/(3 + -1)*(-1)/(-6). Let 0*o + 0 + 0*o**3 - p*o**4 + 1/3*o**2 = 0. What is o?
-1, 0, 1
Let a be (-4)/(-6)*(-1)/(15/(-18)). Let 8/5 - 5*s**3 - 10*s**2 + a*s = 0. Calculate s.
-2, -2/5, 2/5
Let m(o) be the first derivative of 3 - 1/27*o**6 + 160/27*o**3 + 4/9*o**5 - 20/9*o**4 + 64/9*o - 80/9*o**2. Let m(c) = 0. Calculate c.
2
Let k be 3/((-4)/8*2). Let l be (-9)/k + (-40)/15. Solve 0 - x**3 - 1/3*x**5 + 0*x + l*x**2 + x**4 = 0.
0, 1
Let a(i) = -i**2 - 5. Let r = -7 - -2. Let k(n) = -n**2 - 4. Let t(f) = r*a(f) + 6*k(f). Determine j so that t(j) = 0.
-1, 1
Suppose -8/9*j + 2/3*j**2 + 4/9*j**3 - 8/9 - 2/9*j**4 = 0. What is j?
-1, 2
Let c = 11 - 8. Solve p**c + 2*p + 0*p - 3*p - 1 + 0*p + p**2 = 0.
-1, 1
Let z = -1 + 3. Solve -j - j + 16*j**z - 28*j**3 - 4*j**3 = 0 for j.
0, 1/4
Let a(q) be the third derivative of 0*q**3 + 0 - 1/60*q**4 + 0*q - 4*q**2 + 1/100*q**5 - 1/600*q**6. Factor a(c).
-c*(c - 2)*(c - 1)/5
Solve 0*b**2 + 2*b**4 + 6*b**3 + 0*b**4 + 2*b**2 - 6*b - 4 = 0 for b.
-2, -1, 1
Let c(s) be the second derivative of s**4/36 - s**2/6 + 7*s. Factor c(o).
(o - 1)*(o + 1)/3
Let v(c) = -2*c - 1. Let n(m) = m**2 - m - 1. Let t(o) = 3*n(o) - 3*v(o). Factor t(b).
3*b*(b + 1)
Suppose 6*g - 5*g + 1 = 0. Let t be g/((4 + -5)*2). Factor 0*y**3 - 1/2*y**2 + 0*y + 0 + t*y**4.
y**2*(y - 1)*(y + 1)/2
Let n be (-1)/((2 - 4)/6). Let c = -1 + n. Solve -2/9*x**c - 2/9*x + 0 = 0.
-1, 0
What is s in 2*s + 5*s + 4*s**2 - s - s**2 = 0?
-2, 0
Factor -6/11 - 10/11*a**2 + 16/11*a.
-2*(a - 1)*(5*a - 3)/11
Let a(b) be the second derivative of -b**5/60 + b**4/18 - b**3/18 - 7*b. Factor a(q).
-q*(q - 1)**2/3
Factor -66/7*r**3 + 0 - 72/7*r**2 - 27/7*r - 3/7*r**5 - 24/7*r**4.
-3*r*(r + 1)**2*(r + 3)**2/7
Solve -4/3*a + 2*a**2 + 14/3*a**3 - 10/3*a**5 + 0 - 2*a**4 = 0 for a.
-1, 0, 2/5, 1
Suppose -4*n - 18 = 3*v, -3*v + 2*n = -4*v - 8. Let b be v - 14*4/(-16). Factor b*w**3 + 3/2*w - 3*w**2 + 0.
3*w*(w - 1)**2/2
Let l(o) be the second derivative of 2*o + 1/90*o**5 + 1/9*o**3 + 0 + o**2 - 1/18*o**4. Let b(j) be the first derivative of l(j). Factor b(a).
2*(a - 1)**2/3
Let 1/2*y**5 - 1/3*y**4 + 0*y**2 + 0 + 0*y + 0*y**3 = 0. What is y?
0, 2/3
Suppose 0 = -3*a - 2 + 8. Factor 24/11 + 30/11*g**a + 64/11*g - 18/11*g**3.
-2*(g - 3)*(3*g + 2)**2/11
Factor 21*i**5 + 0*i**2 + 8*i**3 + 3*i**3 - 36*i**4 - 2*i**3 + 6*i**2.
3*i**2*(i - 1)**2*(7*i + 2)
Let g(s) = s**2 - 5*s. Let n be g(5). Let o(w) be the second derivative of n - 2*w + 0*w**4 + 0*w**6 - 1/147*w**7 + 0*w**3 + 1/70*w**5 + 0*w**2. Factor o(a).
-2*a**3*(a - 1)*(a + 1)/7
Let b be (4/(-7))/((-7)/49). Suppose b*t - 8 = 2*q, -4*t - 8 = 4*q - 2*q. Find n such that n**4 + 1/3*n**3 - 2/3*n**2 + t + 0*n = 0.
-1, 0, 2/3
Let 10/17*u + 2/17 + 8/17*u**2 = 0. What is u?
-1, -1/4
Suppose -4*v + 13 = -5*y, -v + 5*y + 9 = 2. Factor -2 + v - 7*t**2 - 10*t + t - 2.
-(t + 1)*(7*t + 2)
Factor -6*c**4 + 0*c**2 - 20*c**3 - 20*c**2 + 2*c**4 - 12*c - 8*c**2.
-4*c*(c + 1)**2*(c + 3)
Let t(k) be the first derivative of 2*k**3/3 - 2*k**2 + 2*k - 3. Suppose t(g) = 0. Calculate g.
1
Let a(w) be the second derivative of -w**7/105 + w**6/15 - w**5/15 - w**4/3 + w**3 - 3*w**2/2 - w. Let s(c) be the first derivative of a(c). Factor s(m).
-2*(m - 3)*(m - 1)**2*(m + 1)
Let q(a) = 4*a**3 + 15*a**2 + 3*a - 19. Let o(i) = i 