(q).
4*(q - 1)*(q + 1)**3
Let k(y) be the third derivative of -2*y**7/105 - 4*y**6/15 - 16*y**5/15 + 8*y**2. Factor k(t).
-4*t**2*(t + 4)**2
Let k = -3 - 1. Let o be 1/k*(-14)/7. Determine y so that 3/2*y - 1 - o*y**2 = 0.
1, 2
Let w = 1 + 1. Suppose w*d = -3*j + 6, 4*d + 10 = j + 4*j. Factor -1 - 5*m - 5*m**2 + m**j + 0.
-(m + 1)*(4*m + 1)
What is x in 5/4 - x**2 + 19/4*x = 0?
-1/4, 5
Factor 2/11*f**4 - 6/11*f**2 + 0 + 4/11*f + 0*f**3.
2*f*(f - 1)**2*(f + 2)/11
What is u in -8 + 12*u + 28*u**3 - 2*u**2 + 2*u**2 - 32*u**3 = 0?
-2, 1
Suppose -5*y = -4*c + 17, -c + 4*y = -0*c - 7. Factor 3 + 12*h + 2*h**2 - 10*h**2 - c.
-4*h*(2*h - 3)
Let d(w) be the third derivative of -w**7/42 + w**6/24 + w**5/12 - 5*w**4/24 - 6*w**2. Find a such that d(a) = 0.
-1, 0, 1
Let j(a) = -a**2 + 11*a + 6. Let z be j(11). Let d(o) be the third derivative of 0*o**3 + 3*o**2 + 1/180*o**z + 0*o + 1/108*o**4 + 2/135*o**5 + 0. Factor d(y).
2*y*(y + 1)*(3*y + 1)/9
Let o = 113 + -789/7. Find i, given that 12/7*i + 18/7 + o*i**2 = 0.
-3
Determine r, given that 6/13*r**3 + 0*r**2 + 0 - 8/13*r + 2/13*r**4 = 0.
-2, 0, 1
Let -2/9*x**3 + 2/9*x - 2/9*x**2 + 0 + 2/9*x**4 = 0. Calculate x.
-1, 0, 1
Let p(l) be the first derivative of -1/3*l**3 + 1/5*l**5 + 0*l - 1/2*l**2 + 1/4*l**4 - 1. Determine n so that p(n) = 0.
-1, 0, 1
Solve -26/3*i**2 - 24 + 32*i + 2/3*i**3 = 0 for i.
1, 6
Suppose 57*w**2 - 25*w**4 + 27*w**3 - 21*w**2 + 8*w + 3*w**3 = 0. Calculate w.
-2/5, 0, 2
Let r = 2 + 4. What is k in k**2 + k**2 + 4*k + 0*k**2 - 2*k**4 - r*k + 2*k**3 = 0?
-1, 0, 1
Let w(j) be the first derivative of -14/39*j**3 - 10/13*j**2 - 6 - 6/13*j. Determine n, given that w(n) = 0.
-1, -3/7
Let n(v) be the third derivative of v**8/1008 - v**7/210 + v**6/360 + v**5/60 - v**4/36 + 6*v**2. Factor n(h).
h*(h - 2)*(h - 1)**2*(h + 1)/3
Let c(j) be the first derivative of -j**4/20 - 2*j**3/15 + 7*j**2/10 - 4*j/5 - 10. Factor c(d).
-(d - 1)**2*(d + 4)/5
Let w(l) be the third derivative of l**8/3360 - l**7/420 + l**6/180 - l**4/8 + 3*l**2. Let g(f) be the second derivative of w(f). Suppose g(y) = 0. What is y?
0, 1, 2
Suppose -4*c = -q - 11, 0*q = -c - q + 4. Let -6/5*d**c + 8/5*d + 0 - 2/5*d**5 - 8/5*d**2 + 8/5*d**4 = 0. Calculate d.
-1, 0, 1, 2
Let a(g) be the third derivative of -1/30*g**6 + 0*g - 1/3*g**3 + 1/12*g**4 + 0 - 1/105*g**7 + 1/15*g**5 + g**2 + 1/168*g**8. Factor a(l).
2*(l - 1)**3*(l + 1)**2
Let a(s) = s + 12. Let z be a(-9). Factor 0 + 1/4*f**2 - 3/4*f**4 + f**z - 1/2*f.
-f*(f - 1)**2*(3*f + 2)/4
Let s(y) = 11*y - 40. Let q be s(4). Determine i, given that -2/3*i**q + 1/3*i**5 + 2/3*i**2 + 0*i**3 - 1/3*i + 0 = 0.
-1, 0, 1
Let c = -17 + 11. Let o be (-8)/c - (-8)/12. What is a in 2/5*a**5 + 0 + 2/5*a + 12/5*a**3 + 8/5*a**o + 8/5*a**4 = 0?
-1, 0
Let s(b) be the third derivative of b**5/60 + b**4/24 + 8*b**2. Factor s(y).
y*(y + 1)
Factor 75/2 + 21/4*f**3 + 3/4*f**4 - 165/4*f - 9/4*f**2.
3*(f - 2)*(f - 1)*(f + 5)**2/4
Let h = -97/30 - -10/3. Let r(m) be the first derivative of 3 + h*m**2 + 0*m + 9/20*m**4 + 4/25*m**5 + 2/5*m**3. Factor r(c).
c*(c + 1)**2*(4*c + 1)/5
Determine a, given that 14 - 12*a - 11 + 15 + 2*a**2 = 0.
3
Let j be 3 + 1 - (5 + 0 + -3). Let h(f) be the first derivative of 3/5*f**5 - f**3 - 3 - 1/2*f**6 + 0*f**j + 3/4*f**4 + 0*f. Factor h(y).
-3*y**2*(y - 1)**2*(y + 1)
Let h(l) be the first derivative of -l**3/18 - 5. Find j such that h(j) = 0.
0
Let i(h) = h**4 + 13*h**3 + 6*h**2 - 13*h. Let y be (-1)/(0 - 1) - -6. Let b(v) = -6*v**3 - 3*v**2 + 6*v. Let t(a) = y*b(a) + 3*i(a). Factor t(j).
3*j*(j - 1)**2*(j + 1)
Let y be (3 - 1)/(2/(-3)). Let j be 20/(-3 + 2 - y). Solve -h + 3*h - 4*h - 3*h**3 - 2 + j*h**2 - 3*h**3 = 0 for h.
-1/3, 1
Suppose 2*m = -4, 0 = j + 2*m - 1. Let o(w) be the second derivative of 0*w**3 + 7/20*w**j + 3*w + 0 - 1/6*w**4 + 0*w**2. Factor o(b).
b**2*(7*b - 2)
Let m = 390 + -1166/3. Let -4/3*f**2 + 2*f**3 - m*f**4 + 1/3*f + 0 + 1/3*f**5 = 0. Calculate f.
0, 1
Suppose -d + 4 = d. Suppose 0 = -q + d. Let m(h) = -36*h**2 + h + 11. Let p(w) = -7*w**2 + 2. Let l(y) = q*m(y) - 11*p(y). Factor l(s).
s*(5*s + 2)
Determine u, given that 4*u**4 - 10*u**5 + 14*u**5 - 8*u - 12*u**3 - 9*u**2 - 11*u**2 = 0.
-1, 0, 2
Let m(g) be the third derivative of 32/9*g**3 + 0*g + 8/15*g**5 - 32/9*g**4 + 8/9*g**6 + 0 - 7*g**2 + 10/63*g**7. Suppose m(c) = 0. Calculate c.
-2, 2/5
Determine x, given that -54*x + 21*x**2 - 4*x**2 + 58*x + x**2 = 0.
-2/9, 0
Suppose 0 = 5*h - 8*h - 5*f - 13, -5*h - 3*f + 5 = 0. Find o such that 0 + 2/3*o - 1/3*o**2 + 1/3*o**h + o**5 - 5/3*o**3 = 0.
-1, 0, 2/3, 1
Suppose 0 = -c - 2*c + 2*n + 39, -4*c = 4*n - 32. Factor -c*z + 2*z - 3*z**2 + 6*z**2.
3*z*(z - 3)
Let m be (-700)/(-825) - -3*2/(-33). Find h such that 4/3*h**4 + 0*h**3 + m*h**5 - 4/3*h**2 + 0 - 2/3*h = 0.
-1, 0, 1
What is s in 10*s**3 + 3*s**4 - 10*s - 296*s**2 + 291*s**2 + 2*s**4 = 0?
-2, -1, 0, 1
Let y(p) = p + 15. Let h be y(-13). Let o be (-75)/105 - (-2)/h. Let 0*d**2 + 0 + 0*d**4 - o*d + 4/7*d**3 - 2/7*d**5 = 0. Calculate d.
-1, 0, 1
Factor 1/4*d + 1/4*d**3 - 1/2*d**2 + 0.
d*(d - 1)**2/4
Suppose -60 - 103*l**2 + 280*l - 125*l**3 - 167*l**2 - 5*l**2 = 0. What is l?
-3, 2/5
Let g(y) = -9*y**2 - 6*y - 9. Let z(p) = -p - 1. Let c(s) = g(s) - 12*z(s). Find x, given that c(x) = 0.
-1/3, 1
Let m(h) be the third derivative of -h**7/42 - h**6/24 + h**5/4 + 5*h**4/24 - 5*h**3/3 - 20*h**2. Suppose m(p) = 0. Calculate p.
-2, -1, 1
Let a = 11 + -9. Let h be (a/5)/(16/10). Factor 1/4*i**2 + h*i + 0.
i*(i + 1)/4
Suppose 5 + 1 = 3*d. Let y be -3*((-260)/(-135) - d). Factor y*s**2 + 0*s + 0.
2*s**2/9
Let v(f) be the third derivative of -f**6/180 + f**5/30 - f**4/12 + f**3/9 + 2*f**2. Factor v(i).
-2*(i - 1)**3/3
Suppose 33 - 27 = 3*m. Factor -8/5*i - 8/5 - 2/5*i**m.
-2*(i + 2)**2/5
Let v = 1 + 0. Suppose -5*y = -t + 19, t = -5*y - 17 - 4. Let g(k) = -k - 1. Let c(f) = 2*f**3 + 8*f**2 + 6*f. Let u(j) = v*c(j) + y*g(j). Solve u(z) = 0.
-2, -1
Let y(d) be the second derivative of 0 - 1/4*d**2 - 1/6*d**3 + 3*d - 1/24*d**4. Factor y(f).
-(f + 1)**2/2
Let h(c) be the third derivative of -c**6/400 - c**5/120 - c**4/120 + 11*c**2. Factor h(x).
-x*(x + 1)*(3*x + 2)/10
Let -2*z**2 + 0*z - 3*z**3 + 0 + 2*z**3 + 2 + z = 0. What is z?
-2, -1, 1
Let t(j) = 3*j**2 + 19*j + 22. Let b be t(-5). Let 0 + 1/5*f - 1/5*f**b = 0. Calculate f.
0, 1
Let r(l) be the second derivative of -l**6/30 - 3*l**5/10 - 11*l**4/12 - l**3 + 20*l. Find k, given that r(k) = 0.
-3, -2, -1, 0
Let t(d) be the second derivative of 0*d**2 + 1/10*d**6 - 1/4*d**4 + 0 - 3/10*d**5 - 3*d + d**3. Factor t(m).
3*m*(m - 2)*(m - 1)*(m + 1)
Let s(r) be the second derivative of r**4/3 - 2*r**2 + 11*r. Solve s(d) = 0.
-1, 1
Let c(q) = 4*q**2 - q - 1. Let t be c(-1). Let a = -273 + 278. Determine v, given that 0 + 3/2*v**a + 2*v**t + 0*v + 0*v**2 + 1/2*v**3 = 0.
-1, -1/3, 0
Let d(v) be the first derivative of 2*v**3/21 + 3*v**2/7 + 4*v/7 - 2. Factor d(f).
2*(f + 1)*(f + 2)/7
Solve 3/8*i**4 + 3/4*i - 3/4*i**3 + 0*i**2 - 3/8 = 0 for i.
-1, 1
Let h(y) = 6*y**2 - 101*y - 15. Let z be h(17). Let 0*q + 0*q**z - 2/7*q**4 - 2/7*q**3 + 0 = 0. What is q?
-1, 0
Let v(d) be the first derivative of -d**4 + 8*d**3/3 - 2*d**2 - 6. Factor v(t).
-4*t*(t - 1)**2
Let k(s) be the third derivative of 2*s**7/525 + 2*s**6/75 + 2*s**5/25 + 2*s**4/15 + 2*s**3/15 - 4*s**2. Factor k(r).
4*(r + 1)**4/5
Let u(o) = -o**2 - 5*o + 6. Let w be u(-6). Determine l so that 0*l**2 + 0*l - 1/3*l**4 - 2/3*l**3 + w = 0.
-2, 0
Let a(m) be the third derivative of 1/240*m**6 - 1/240*m**5 + 0*m**4 + 0*m**3 + 0*m + 0 - 1/840*m**7 + 3*m**2. Factor a(p).
-p**2*(p - 1)**2/4
Let q(s) be the second derivative of -s**6/195 - s**5/65 - s**4/78 - 18*s. Factor q(u).
-2*u**2*(u + 1)**2/13
Factor -28*t**3 + 47*t + 32*t**2 + 0*t**4 + 17*t + 4*t**4.
4*t*(t - 4)**2*(t + 1)
Let v(i) be the second derivative of i**5/30 - i**4/18 + 2*i. Let v(k) = 0. Calculate k.
0, 1
Let d(w) = -5*w**5 - w**4 + 2*w**3 - 2*w**2 + 6*w - 6. Let y = -5 - -11. Let k(h) = h**5 + h**4 + h**3 + h**2 - h + 1. Let l(f) = y*k(f) + d(f). Factor l(q).
q**2*(q + 1)*(q + 2)**2
Factor 0*h**3 - 2*h - 12*h + 2*h + 3*h**3.
3*h*(h - 2)*(h + 2)
Suppose 2*k - 4 = 4*b, 2*b + 3 = -5*k + 1. What is w in 0*w + 2/7*w**2 - 4/7*w**3 + k = 0?
0, 1/2
Suppose -3*g