(b + 1)**2/9
Let r be (-4 - (-6 + 3))*0. Suppose -1/3*t**5 + r*t**2 + 0*t - 1/3*t**3 + 2/3*t**4 + 0 = 0. What is t?
0, 1
Suppose 0 = 3*y + 5*l + 20 - 4, 3*l = -3*y - 12. Let f = y - -4. Determine q so that 1/4 - 1/2*q**f - 1/4*q = 0.
-1, 1/2
Let j be 1/((9/30)/3). Suppose i = -3*l + 14, -3*i - 4*l = -j - 12. Factor 2 - 3 - a**2 - 3*a + 3 + i*a.
-(a - 1)*(a + 2)
Let m(x) = -2*x**2 + 1. Let i(f) = 20*f**2 - 94*f + 10. Let k(r) = 2*i(r) + 28*m(r). Factor k(w).
-4*(w + 12)*(4*w - 1)
Let k(a) be the third derivative of 0*a - 1/90*a**5 + 0*a**4 + 0 + 0*a**3 - 1/180*a**6 - 5*a**2. Determine r, given that k(r) = 0.
-1, 0
Suppose o = x, -2 - 10 = -2*x - 2*o. Factor -7/5*z**2 - 1/5 - z - 3/5*z**x.
-(z + 1)**2*(3*z + 1)/5
Let m(k) be the first derivative of -k + 7/8*k**6 + 1/20*k**5 + 1/4*k**3 - 6 - 37/16*k**4 + 2*k**2. Find g such that m(g) = 0.
-1, 2/7, 2/3, 1
Let o(r) = -4*r**3 - 4 + 3*r**2 - 5*r**4 + 2*r**3 - 4*r**2. Let d(f) = 6*f**4 + 3*f**3 + f**2 + 5. Let n(i) = 4*d(i) + 5*o(i). Find p, given that n(p) = 0.
0, 1
Suppose -u + 4 = 3*b - 2, 0 = b + u - 2. Find r such that r**3 - r**4 - r - r**5 + r**b - 2*r + 3*r = 0.
-1, 0, 1
Let d = -39/55 + 10/11. Let n(a) be the first derivative of 1/10*a**4 - d*a**2 - 2/15*a**3 + 1 + 2/5*a. Solve n(f) = 0.
-1, 1
Factor -2/17*r**2 + 2/17*r**4 + 0 + 2/17*r**3 - 2/17*r.
2*r*(r - 1)*(r + 1)**2/17
Let f = -1558 - -93487/60. Let o(t) be the third derivative of 0*t + 0 - f*t**6 - 11/12*t**4 + t**2 - 2/3*t**3 - 8/15*t**5. Factor o(r).
-2*(r + 1)**2*(7*r + 2)
Suppose 4*b = -0*b + 96. Suppose 6*f**2 + b - 51*f**2 - 4*f - 15*f**2 = 0. Calculate f.
-2/3, 3/5
Let w(k) be the second derivative of k**5/5 - 2*k**3/3 + 8*k. Solve w(v) = 0 for v.
-1, 0, 1
Suppose 0 = -8*i + 29 + 3. Let k(u) be the second derivative of 2*u + 4/3*u**3 + 1/2*u**i + u**2 + 0. Let k(l) = 0. What is l?
-1, -1/3
Factor 1 + r - 1/4*r**2 - 1/4*r**3.
-(r - 2)*(r + 1)*(r + 2)/4
Let i(r) be the third derivative of r**6/600 + r**5/75 + r**4/24 + r**3/15 - 15*r**2. What is s in i(s) = 0?
-2, -1
Factor -3/5*b**2 + 0*b + 0.
-3*b**2/5
Let q(k) = -k + 2. Let j be q(0). Let z be 0 - 1 - (j - 5). Factor 9*w**2 + w - 10*w**z + 1 + 1.
-(w - 2)*(w + 1)
Suppose -2*b + 0*b + 29 = 5*v, -5*b + 2*v = 0. Let n(q) be the third derivative of 0*q**3 + b*q**2 + 0*q + 0 + 1/120*q**5 - 1/24*q**4 + 1/240*q**6. Factor n(l).
l*(l - 1)*(l + 2)/2
Let n be (-16)/(-4 - 44) - (-1)/3. Factor n*b**4 + 10/3*b**2 + 0 - 4/3*b - 8/3*b**3.
2*b*(b - 2)*(b - 1)**2/3
Suppose -5*u - 2*v - 1 - 24 = 0, 0 = -v + 5. Let b = u + 10. Suppose 0 + 0*w + 2/9*w**b + 2/9*w**4 - 2/9*w**2 - 2/9*w**5 = 0. Calculate w.
-1, 0, 1
Let f(u) be the second derivative of u**5/210 - u**4/42 + u**3/21 + 4*u**2 - 8*u. Let m(k) be the first derivative of f(k). Factor m(r).
2*(r - 1)**2/7
Find w such that -6*w - 3*w**4 + 2*w**2 + 4*w**3 + 2*w + w**4 = 0.
-1, 0, 1, 2
Let r = -3653 - -11078/3. Let a = -39 + r. What is j in -a*j**3 + 4/3 - 4/3*j**2 + 2/3*j = 0?
-2, -1, 1
Let x(p) be the third derivative of -p**8/84 - 2*p**7/105 + p**6/15 + 2*p**5/15 - p**4/6 - 2*p**3/3 + 14*p**2. Suppose x(n) = 0. Calculate n.
-1, 1
Let f(k) = k**3 - 7*k**2 + 5*k + 6. Let r be f(6). Factor -2/3 + r*l + 0*l**3 + 4/3*l**2 - 2/3*l**4.
-2*(l - 1)**2*(l + 1)**2/3
Determine j, given that -3/2 - 3*j - 9/8*j**4 + 3/4*j**3 + 39/8*j**2 = 0.
-2, -1/3, 1, 2
Let m(i) = 2*i + 24. Let x be m(-12). Let b(n) be the second derivative of 0 + 1/36*n**4 + x*n**2 + 0*n**3 - n. Factor b(j).
j**2/3
Let s be -3*(-3)/(-27)*-6. Let x(m) be the first derivative of 2/45*m**5 + 0*m + 1/18*m**4 + s - 1/9*m**2 - 2/27*m**3. Factor x(i).
2*i*(i - 1)*(i + 1)**2/9
Let h be 1*-4 + 1053/260. Let n(a) be the third derivative of 1/6*a**3 + 0*a - 1/12*a**4 + 0 - 2*a**2 - h*a**5. Suppose n(b) = 0. Calculate b.
-1, 1/3
Suppose -10*d**3 + 9*d**3 - 16*d - 32 + 8*d**2 + 5*d**3 = 0. Calculate d.
-2, 2
Factor -144/5 - 4/5*d**2 + 48/5*d.
-4*(d - 6)**2/5
Factor -4/5*j**2 + 12/5*j + 8.
-4*(j - 5)*(j + 2)/5
Let j(p) be the second derivative of -5*p**4/12 + 25*p**3/6 - 10*p**2 + 9*p. Factor j(f).
-5*(f - 4)*(f - 1)
Let a be 2/(-7) - (-50)/224. Let r = 35/48 + a. Factor -1/3*q**4 + 2/3*q + 0*q**2 + 1/3 - r*q**3.
-(q - 1)*(q + 1)**3/3
Suppose a = 5*a - 20. Suppose 5*y - 29 = -b, 0 = -a*b + 5*y - 0 - 5. Let 3/4*u**2 + u - 1/2*u**3 - 1/4*u**b - 1 = 0. Calculate u.
-2, 1
Factor 3*b**2 - 19 + 15 + 5*b - 5*b**2 + b**2.
-(b - 4)*(b - 1)
Factor -5*p**5 - 855*p**2 - p**3 + 15*p**4 + p**3 + 835*p**2.
-5*p**2*(p - 2)**2*(p + 1)
Suppose -4*l = -2*u + u - 12, 0 = -2*l + 2*u. Factor 2/9*p**5 + 2/3*p**l + 2/3*p**3 + 2/9*p**2 + 0*p + 0.
2*p**2*(p + 1)**3/9
Let i be 1/4 + 91/52. Factor -i*k**2 + 5/4*k**3 - 1/4*k**4 + k + 0.
-k*(k - 2)**2*(k - 1)/4
Let q(g) = -g**3 - 5*g**2 - g - 2. Let z be q(-5). Let m**3 - z*m - 3*m**2 - 2*m**3 - 8*m + 9*m = 0. Calculate m.
-2, -1, 0
Factor 4*p**3 - 3*p**3 + 3*p**3 + 8*p**4 + 3*p**5 + p**5.
4*p**3*(p + 1)**2
Let p(f) be the first derivative of f**5/5 + f**4/2 - f**3 - 2*f**2 + 2*f - 4. Let n(g) be the first derivative of p(g). Find c, given that n(c) = 0.
-2, -1/2, 1
Let q be 22/3 - (-4)/6. Suppose -q = -4*m + 8. Factor -2*h + 3*h**3 - 1 + h**4 - m*h**3 + 3*h**3.
(h - 1)*(h + 1)**3
Let -1/2*l**2 - 3/2*l + 0 = 0. Calculate l.
-3, 0
Let o(p) be the second derivative of -p**5 - 7*p**4/3 - 4*p**3/3 - 41*p. Let o(w) = 0. Calculate w.
-1, -2/5, 0
Let v(r) be the third derivative of -r**7/630 + r**6/180 - r**4/36 + r**3/18 - 6*r**2. Factor v(m).
-(m - 1)**3*(m + 1)/3
Let n = 4 - 0. Determine j so that 8/3*j + 8/3*j**3 - 2/3 - 2/3*j**n - 4*j**2 = 0.
1
What is i in -4*i**4 + 2*i**2 - 8*i**3 + 0*i**2 + 16*i - 8*i + 2*i**2 = 0?
-2, -1, 0, 1
Let s be (1/(-2))/(12/(-72)). Let 1/3*a**s + 0 + 0*a - 1/3*a**2 = 0. What is a?
0, 1
Let k(w) = -w**2 - 10*w - 12. Let v be k(-8). Suppose 7*s - 4*s = 2*z - 25, -35 = -v*z + s. Factor -2*t + 10*t**3 - 4 - t**2 - z*t + 5*t**2.
2*(t - 1)*(t + 1)*(5*t + 2)
Factor -13*m**3 + 4*m**4 - 8*m + 15*m**3 - 18*m**3 + 20*m**2.
4*m*(m - 2)*(m - 1)**2
Let y(z) = z. Let i be y(2). Determine j, given that 8*j**2 + 8*j**3 - i*j**4 - 12*j + 4 - 10*j**4 + 4*j**5 + 0 = 0.
-1, 1
Let j(p) = -2*p**2 + 5*p + 7. Let n(v) = v**2 - 2*v - 3. Let y = -5 - 1. Let x(q) = y*j(q) - 15*n(q). Suppose x(f) = 0. What is f?
-1, 1
Let i(w) = -3*w**2 - 9*w - 4. Let o(x) = 6*x**2 + 18*x + 7. Let d(j) = -5*i(j) - 2*o(j). Factor d(h).
3*(h + 1)*(h + 2)
Suppose f - 27 = -4*f - 3*s, -3*f - 2*s = -17. Let o be 9/(-15) - f/(-5). Find y, given that -2/3*y**2 - 2/3*y + o = 0.
-1, 0
Let y be 12/(-28) + -3 - -4. Factor -2/7*j**3 + 2/7*j + 2/7*j**4 + y - 6/7*j**2.
2*(j - 2)*(j - 1)*(j + 1)**2/7
Let r be (-18)/(-36) - (-5)/2. Factor 0*l + 0*l**2 - 3/4*l**4 + 0 - l**5 + 1/4*l**r.
-l**3*(l + 1)*(4*l - 1)/4
Let h(s) be the third derivative of -s**8/294 - s**7/735 - 6*s**2. Factor h(z).
-2*z**4*(4*z + 1)/7
Let k(j) = 5*j + 5*j**2 - 4 + 3 - j**2 - j**2 - j**3. Let b be k(4). Factor 0*r**2 + 1/4*r + 0 - 1/4*r**b.
-r*(r - 1)*(r + 1)/4
Let g(o) be the third derivative of o**5/150 + o**4/30 + 27*o**2. Let g(j) = 0. What is j?
-2, 0
Let o(j) = -j**3 + 4*j**2 + 5*j. Let s(a) = -a**3 + 3*a**2 + 4*a. Let p be (-1)/(-4) - 42/8. Let q(n) = p*s(n) + 4*o(n). Factor q(x).
x**2*(x + 1)
Let t be 3 + 1 - (1 - 0). Let r = 2/7 + -1/28. Find i, given that 0 + r*i**t + 0*i**2 + 0*i = 0.
0
Suppose -4*n + 5*p - 40 = 0, -4*p = -n - 18 - 3. Let v be (n - -1)*4/(-24). Let 0*a + 0 + 2/3*a**3 - 4/3*a**4 + v*a**5 + 0*a**2 = 0. Calculate a.
0, 1
Let a(z) be the second derivative of -16/3*z**3 - 23/4*z**5 + 2*z**2 - 3*z + 5/3*z**6 + 0 + 31/4*z**4. Factor a(i).
(i - 1)*(2*i - 1)*(5*i - 2)**2
Find h, given that -3/2*h**3 + 3/4*h**5 + 3/4 - 3/2*h**2 + 3/4*h + 3/4*h**4 = 0.
-1, 1
Suppose 0 = -2*d + 5*d - 3*b + 21, 0 = -3*b - 6. Let n be ((-1)/3)/(6/d). Factor -n + 5/2*r + 1/2*r**5 + 5*r**3 - 5*r**2 - 5/2*r**4.
(r - 1)**5/2
Let f(d) = -d**3 - 1. Let w(s) = 3*s**2 - 1. Let x(j) = -3*f(j) + 3*w(j). Let x(b) = 0. Calculate b.
-3, 0
Let d = -12 - -15. Let p(j) be the first derivative of -j**2 + 1/2*j**4 + 2 - 1/5*j**5 + j + 0*j**d. Factor p(x).
-(x - 1)**3*(x + 1)
Let l(q) be the first derivative of 2*q + 1/3*q**4 - 1/10*q**5 - 1/3*q**3 - 3 + 0*q**2. Let z(t) be the first derivative of l(t). Solve z(m) = 0.
0, 1
Suppose -4*g + 23 + 13 = 0. Let 