2/3*q**s = 0. What is q?
-1, 1, 2
Let l(a) = -a**2 + 4*a + 7. Let s be l(-3). Let j be (0/2)/(s - -17). Factor 8/11*f**3 - 8/11*f**2 - 2/11*f**4 + j*f + 0.
-2*f**2*(f - 2)**2/11
Let w(h) be the third derivative of h**6/300 + h**5/300 + 9*h**2. Let w(f) = 0. What is f?
-1/2, 0
Let l = -77 - -3083/40. Let a(y) be the third derivative of -1/6*y**4 + 0 - 2*y**2 - 1/15*y**5 + 3/70*y**7 + l*y**6 + 0*y + 0*y**3. Solve a(v) = 0 for v.
-1, -2/3, 0, 2/3
Let l = -157 + 159. Factor 0*g + 0 - 2/3*g**5 - 2/3*g**3 - 4/3*g**4 + 0*g**l.
-2*g**3*(g + 1)**2/3
Suppose -215*h = -237*h. Suppose 0 + h*z**2 + 3/2*z**3 - 3/2*z = 0. What is z?
-1, 0, 1
Let x(f) = -f**3 + 1. Let i be x(-1). Solve 3*h**3 + 3*h**3 - 8*h**2 + 2*h**i - 4*h**3 + 6*h**4 - 2*h = 0.
-1, -1/3, 0, 1
Let c(v) be the third derivative of -v**7/420 + 7*v**6/240 - v**5/8 + 13*v**4/48 - v**3/3 - 9*v**2. Let c(p) = 0. What is p?
1, 4
Let m = -32 - -19. Let v = m + 13. Determine a, given that -2/3*a**2 + 0 + v*a - 2/3*a**4 - 4/3*a**3 = 0.
-1, 0
Let u(q) = q**3 + q**2. Let z be u(1). Factor -y**2 - 4*y**2 + 6*y**2 - 3 + z.
(y - 1)*(y + 1)
Factor 2/15*f**2 + 8/15 + 8/15*f.
2*(f + 2)**2/15
What is q in 52/5*q**2 + 32/5*q + 24/5*q**3 + 4/5 = 0?
-1, -1/6
Let j = 10 - 6. Suppose -8*a + 4*a = -8. Factor -16*g**4 - 17*g**3 - 3*g**2 + 3*g + 2*g**4 - g + a*g**j.
-g*(g + 1)*(3*g + 2)*(4*g - 1)
Let k be 9/6*(-10)/3. Let d(i) = -4*i**4 - i**2 - 5*i. Let z(f) = -3*f**4 - f**2 - 4*f. Let q(s) = k*z(s) + 4*d(s). Factor q(g).
-g**2*(g - 1)*(g + 1)
Let z(b) = -5*b**3 + 6*b**2. Let l(s) = 2*s**3 - 2*s**2. Let o be 7/(-2) - 3/6. Let v(j) = o*z(j) - 11*l(j). Factor v(t).
-2*t**2*(t + 1)
Let a(c) be the third derivative of -c**5/36 - 2*c**4/9 - c**3/6 + 26*c**2 - c. Let a(q) = 0. What is q?
-3, -1/5
Let s(n) = n**3 + 10*n**2 + 9*n + 2. Let q be s(-9). Solve -2/5*o + 2/5*o**q + 0 = 0.
0, 1
Let q(i) = 3*i**2 - 16*i - 17. Let r be q(-1). Determine s so that 0*s + 0 + 0*s**r - 1/3*s**3 - 1/3*s**4 = 0.
-1, 0
Let l be (-1)/(2 - 1) + (-1 - -2). Let t(p) be the first derivative of p**2 - 3 + l*p + 1/3*p**3. Factor t(x).
x*(x + 2)
Find l such that -1/9*l**3 + 1/9*l + 0 + 0*l**2 = 0.
-1, 0, 1
Factor 2/3*a**4 + 0 - 4/3*a**3 + 0*a + 0*a**2.
2*a**3*(a - 2)/3
Let v(w) be the second derivative of -w**8/2880 - w**7/1512 + w**6/1080 - w**4/6 + w. Let g(d) be the third derivative of v(d). Factor g(z).
-z*(z + 1)*(7*z - 2)/3
Let w(h) be the first derivative of -1/6*h**2 + 1/2*h - 5 - 1/18*h**3. Find a, given that w(a) = 0.
-3, 1
Let m(h) = -6*h**2 + 2*h + 2. Let v(u) = -u**2 + u + 1. Let o = 17 + -19. Let p(d) = o*v(d) + m(d). Factor p(w).
-4*w**2
Let a(t) be the first derivative of 1 - 1/3*t**6 + 0*t**2 + 1/2*t**4 - 2/5*t**5 + 2/3*t**3 + 0*t. Factor a(k).
-2*k**2*(k - 1)*(k + 1)**2
Let a(i) = 4*i**3 + 9*i**2 + 12*i - 7. Let b(q) = q**3 + 3*q**2 + 4*q - 2. Let d(p) = 4*a(p) - 14*b(p). Factor d(z).
2*z*(z - 4)*(z + 1)
Let s = -6 + 6. Suppose s = -5*w + z - 3, 5*w + 3*z - 1 - 8 = 0. Factor w*m**4 + 2/9*m + 0*m**2 + 0 + 2/9*m**5 - 4/9*m**3.
2*m*(m - 1)**2*(m + 1)**2/9
Let v(r) be the first derivative of -r**7/15 - 23*r**6/60 - 2*r**5/3 - r**4/3 - 7*r**2/2 + 4. Let y(a) be the second derivative of v(a). Factor y(d).
-2*d*(d + 1)*(d + 2)*(7*d + 2)
Let v(x) be the third derivative of -x**6/540 + x**5/135 - x**4/108 + 4*x**2. Factor v(p).
-2*p*(p - 1)**2/9
Suppose 4*g = 2*i, -5*g = 91*i - 86*i - 15. Let 4/7*m**i - 2*m**3 + 2*m - 4/7 = 0. What is m?
-1, 2/7, 1
Factor -24/5*c**2 + 0 - 18/5*c**4 + 0*c + 36/5*c**3 + 3/5*c**5.
3*c**2*(c - 2)**3/5
What is p in -1/4*p**3 + 5/2*p**2 + 1/4*p - 5/2 = 0?
-1, 1, 10
Let m(r) be the third derivative of -1/420*r**6 - 1/21*r**3 + 1/84*r**4 + 0 + 0*r + 5*r**2 + 1/210*r**5. Determine b, given that m(b) = 0.
-1, 1
Let k(a) = -4*a**2 - 4*a - 8. Let q(y) = 3*y**2 + 3*y + 5. Let p(h) = -5*k(h) - 8*q(h). Factor p(n).
-4*n*(n + 1)
Suppose -218 = -5*b + 102. Let o = -255/4 + b. Let 1/4*v**2 - o*v**4 + 1/4*v - 1/4*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Let m(c) be the first derivative of -1/14*c**4 + 0*c + 4 - 2/35*c**5 + 1/7*c**2 + 2/21*c**3. Determine o, given that m(o) = 0.
-1, 0, 1
Let g(y) be the third derivative of -y**7/315 + y**6/180 + y**5/90 - y**4/36 - 2*y**2. Suppose g(f) = 0. What is f?
-1, 0, 1
Let n = 65 + -127/2. Factor -r - r**3 + 1/4 + 1/4*r**4 + n*r**2.
(r - 1)**4/4
Suppose -3*w = -4*w - 4. Let m = w - -4. Factor m - 2/3*n**2 + 4/3*n.
-2*n*(n - 2)/3
Let u(c) = -c**2 + 13*c + 17. Let i be u(14). Determine j so that -4*j**3 - 3*j**i + 7*j**3 - 2*j**3 = 0.
0
Let 0*i**2 + 20*i**3 - 2*i**2 - 15*i**3 - i**5 - 4*i**4 + 2*i**5 = 0. What is i?
0, 1, 2
Let m(x) = -2*x**2 + 4*x - 6. Let r(z) = -2*z**2 + 3*z - 7. Suppose -3 - 4 = 4*k - 3*n, 4*n = -2*k + 24. Let a(t) = k*r(t) - 3*m(t). Factor a(o).
2*(o - 2)*(o - 1)
Let t(n) be the first derivative of -n**8/42 + n**7/45 - n**6/180 - n**2/2 - 5. Let d(y) be the second derivative of t(y). Factor d(l).
-2*l**3*(3*l - 1)*(4*l - 1)/3
Let b(r) be the third derivative of -r**6/6 + 19*r**5/12 - 55*r**4/24 - 10*r**3/3 + 10*r**2. Find a, given that b(a) = 0.
-1/4, 1, 4
Let j(x) be the third derivative of 1/156*x**4 + x**2 + 0*x - 2/39*x**3 + 1/390*x**5 + 0. Let j(i) = 0. Calculate i.
-2, 1
Determine c, given that 2/3*c**2 - 4*c + 16/3 = 0.
2, 4
Let r be -1 + ((-482)/(-80) - 1) + -4. Let d(m) be the third derivative of -r*m**6 + 1/2*m**3 - m**2 + 3/20*m**5 - 3/8*m**4 + 0 + 0*m. Let d(s) = 0. What is s?
1
Let v(f) = f**2 + 15*f + 17. Let n be v(-14). Factor 6*k - 3 + 1 - 2*k**4 + 2*k - 12*k**2 + 9*k**n - k**3.
-2*(k - 1)**4
Let s be 2/6 - 5/((-150)/134). Determine p so that 132/5*p + s + 15*p**3 + 42*p**2 = 0.
-2, -2/5
Let q - 2*q**2 + 5/4*q**3 - 1/4*q**4 + 0 = 0. What is q?
0, 1, 2
Let i be (120/560)/(3/4). Factor 1/7*v**3 + i*v**2 + 0 + 1/7*v.
v*(v + 1)**2/7
Let c = -21 + 25. Factor 0*j + 0 + 3/4*j**c - 3/4*j**2 + 0*j**3.
3*j**2*(j - 1)*(j + 1)/4
Let f(k) = 6*k**2 - 48*k + 89. Let d(o) = -3*o**2 + 24*o - 45. Let p(i) = 7*d(i) + 3*f(i). Factor p(a).
-3*(a - 4)**2
Suppose -38 + 118 = 4*n. Let o be (6/(-5))/((-6)/n). Solve -4 + o + 12*j**2 - 30*j**2 - 4 - 22*j = 0.
-1, -2/9
Let g = 10 + -10. Suppose g = -0*a + 4*a. Solve -2/3*v**5 - v**4 + 1/3*v**2 + a + 0*v**3 + 0*v = 0 for v.
-1, 0, 1/2
Let w(f) be the second derivative of -1/90*f**5 + 1/27*f**3 + 0 + 1/9*f**2 - 1/54*f**4 - 8*f. Factor w(j).
-2*(j - 1)*(j + 1)**2/9
Factor -4/3*v + v**3 + 0 + 1/3*v**4 + 0*v**2.
v*(v - 1)*(v + 2)**2/3
Suppose 2*f = -5*y + 27, -16 + 112 = 4*f - 4*y. Let c = f + -83/4. Factor -c*k**2 - 1/4*k + 1/2.
-(k - 1)*(k + 2)/4
Let l(g) be the second derivative of g**9/1008 - g**8/280 + g**6/60 - g**5/40 - 2*g**3/3 + 3*g. Let b(t) be the second derivative of l(t). Factor b(d).
3*d*(d - 1)**3*(d + 1)
Let l = 5557/754 - 168/29. Let j = -1/13 + l. Factor -1/2*q**4 + j*q**3 + 1/2*q + 0 - 3/2*q**2.
-q*(q - 1)**3/2
Let i(s) = -1. Let k(z) = -5*z**4 - 70*z**3 - 125*z**2 - 60*z - 5. Let j(d) = 5*i(d) - k(d). Factor j(f).
5*f*(f + 1)**2*(f + 12)
Let p be 9/(-9) - (-30)/26. Determine o so that -4/13 - p*o + 6/13*o**2 = 0.
-2/3, 1
Let w(o) be the first derivative of -o**6/18 + 2*o**5/9 - 7*o**4/36 - 4*o**3/27 + 2*o**2/9 - 3. Suppose w(h) = 0. Calculate h.
-2/3, 0, 1, 2
Factor 0*h + 0 - 4/3*h**4 + 4/3*h**5 + 0*h**2 + 0*h**3.
4*h**4*(h - 1)/3
Let p be ((-8)/6)/((-4)/15). Let a be ((-1)/2)/(2/(-12)). What is j in 3*j - j**3 - 4*j + p*j**3 - a*j**3 = 0?
-1, 0, 1
Let k(y) be the third derivative of -7*y**5/36 + y**4/36 + 17*y**2 - 2. Factor k(a).
-a*(35*a - 2)/3
Let i(g) be the second derivative of g**5/10 - g**4/3 - g**3 + 9*g. Suppose i(c) = 0. Calculate c.
-1, 0, 3
Let t(l) be the third derivative of 1/12*l**3 - 2*l**2 + 0*l**5 + 0 + 0*l - 1/32*l**4 + 1/480*l**6. Factor t(k).
(k - 1)**2*(k + 2)/4
Suppose 225*r = 227*r - 4. Let -2/3*g**r + 0 + 4/3*g = 0. Calculate g.
0, 2
Let w = -10/41 + 214/205. Factor -12/5*d**4 - 4/5*d**5 - 8/5*d**3 + w + 8/5*d**2 + 12/5*d.
-4*(d - 1)*(d + 1)**4/5
Let w(q) be the second derivative of 0 - 16/3*q**4 - 18*q**2 + 16*q**3 + 8*q. Find b, given that w(b) = 0.
3/4
Let f(a) be the first derivative of a**6/18 + 2*a**5/15 - a**4/12 - 2*a**3/9 - 18. Factor f(m).
m**2*(m - 1)*(m + 1)*(m + 2)/3
Suppose -17 = 5*q - 3*q - 5*l, 0 = 3*l - 15. Let r = -1/63 + 22/63. Find b such that 0 + r*b**3 - 1/3*b**2 -