2 + 0*g**4 - 27/2*g**5 + 0 + 36*g**3 + 8*g.
-g*(g + 2)*(3*g - 2)**3/2
Let p(a) be the third derivative of a**7/8820 - a**6/630 + a**5/105 + a**4/12 + 6*a**2. Let s(g) be the second derivative of p(g). Suppose s(y) = 0. What is y?
2
Find m, given that 3*m**3 - 59*m**2 + 27*m**2 - 224*m + 464*m - 25*m**2 + 300 = 0.
-1, 10
Let o = -1007219/16422 - -1/5474. Let v = o + 62. Factor v*b + 2/3*b**2 - 4/3.
2*(b - 1)*(b + 2)/3
Let z = -3 + 5. Suppose -5*a - z*a**2 + 5*a = 0. Calculate a.
0
Suppose 20 - 16 = 2*g. Find s, given that -9/2*s + 7/2*s**g + 1 = 0.
2/7, 1
Let m(l) be the first derivative of -1 - 4/9*l - 1/3*l**2 - 2/27*l**3. Factor m(h).
-2*(h + 1)*(h + 2)/9
Suppose -m + 192 - 190 = 0. Let p(u) be the second derivative of 0 + 3/8*u**3 - 1/4*u**m - u - 7/48*u**4. Factor p(k).
-(k - 1)*(7*k - 2)/4
Determine t so that 78/5*t**2 - 36/5*t + 21/5*t**3 + 3*t**5 - 24/5 - 54/5*t**4 = 0.
-1, -2/5, 1, 2
Let o be (-4)/(-6) - (-26)/6. Suppose 0 = 4*w + 3*b - 6, 6 = w + b + o. Factor l**w - 2*l + l**3 + 0*l**3.
2*l*(l - 1)*(l + 1)
Let w(v) = 3*v**2 + v - 2. Let i(s) = -10*s**2 - 3*s + 6. Let b(j) = 2*i(j) + 7*w(j). Find l such that b(l) = 0.
-2, 1
Let i be ((492/(-129))/2)/(-6). Let h = i - -2/129. Let -2/3*v**3 + 0 + 1/3*v**4 + 0*v + h*v**2 = 0. What is v?
0, 1
Let i(k) be the third derivative of -k**8/112 - 3*k**7/70 - 13*k**6/160 - 3*k**5/40 - k**4/32 + 11*k**2. Factor i(r).
-3*r*(r + 1)**2*(2*r + 1)**2/4
Let m(a) be the second derivative of -a**6/30 + a**5/30 + a**4/12 - a**3/9 + 38*a. Factor m(u).
-u*(u - 1)*(u + 1)*(3*u - 2)/3
Let 7*y**3 + y + 1/2 - 6*y**2 - 5/2*y**4 = 0. Calculate y.
-1/5, 1
Let c(s) be the first derivative of -s**3/3 + s**2 - s + 18. Factor c(j).
-(j - 1)**2
Let c(j) be the first derivative of -j**4/18 + 4*j**3/27 + 4*j**2/9 - 16*j/9 + 22. Factor c(s).
-2*(s - 2)**2*(s + 2)/9
Factor 1/8*p**5 + 0*p + 0 + 3/8*p**3 + 1/8*p**2 + 3/8*p**4.
p**2*(p + 1)**3/8
Let u = 8 - -18. Suppose -k = -j + 3, 5*j = -3*k + j + u. Solve -k*c**3 - 5*c**3 + 3*c**4 - 9*c - 4*c**3 + 2 + 0*c + 15*c**2 = 0 for c.
2/3, 1
Let w(x) be the third derivative of -x**7/1260 + x**6/90 - x**5/15 + 2*x**4/9 - x**3/6 + x**2. Let v(s) be the first derivative of w(s). Factor v(q).
-2*(q - 2)**3/3
Suppose 0 = 5*u + 12 - 172. Find a such that -2*a**4 + 16*a**3 - 17*a**2 - 64*a - 31*a**2 - 32*a**3 - u = 0.
-2
Let v = 1563 + -10937/7. Factor v*a**2 + 16/7 + 16/7*a.
4*(a + 2)**2/7
Suppose -5 = u + p - 3*p, 5*p - 17 = u. Factor 0*j - 6/11*j**4 + 0 + 8/11*j**u - 2/11*j**2.
-2*j**2*(j - 1)*(3*j - 1)/11
Let h be 2/48 - (8 - 65/8). Factor -1/6*y**2 - h*y**3 + 1/6 + 1/6*y.
-(y - 1)*(y + 1)**2/6
Suppose p - 5 + 0 = 0. Suppose 0 = t - 5*k - 22 - 7, 3*k = -p*t + 5. Factor 0*b + b**2 + b**5 - b**3 - b**t + 0*b.
b**2*(b - 1)**2*(b + 1)
Factor 6*l**3 + 287*l**4 - 3*l**3 - 286*l**4.
l**3*(l + 3)
Factor -5*p**3 + 4*p**3 + 5*p**3 - 6*p**5 - 2*p**4.
-2*p**3*(p + 1)*(3*p - 2)
Let j(b) = -3*b + 66. Let h be j(21). Factor 3/4*k**4 + 3 + 3*k - 9/4*k**2 - 3/2*k**h.
3*(k - 2)**2*(k + 1)**2/4
Let f = -70088/9009 + 2/1001. Let q = 508/63 + f. Solve q*i**2 + 0*i + 2/7*i**3 + 0 = 0 for i.
-1, 0
Let w = -6 - -9. Suppose -24*o = -27*o. Let 0 - 2/3*l**2 + 0*l**w + o*l + 2/3*l**4 = 0. What is l?
-1, 0, 1
Factor 6/25*s**2 + 4/25*s + 0*s**3 - 2/25*s**4 + 0.
-2*s*(s - 2)*(s + 1)**2/25
Factor 19*y - 11 + 5*y**2 + y - 10*y - 4.
5*(y - 1)*(y + 3)
Factor w**3 + 2*w**4 + 3*w**3 + w**4 + w**4.
4*w**3*(w + 1)
Determine k, given that 21*k**5 - 141*k**4 + 225*k**3 + 14*k**4 + 24*k - 5*k**4 - 138*k**2 = 0.
0, 2/7, 1, 4
Let d = 447/5 + -89. Suppose 0 + d*g**2 + 0*g = 0. Calculate g.
0
Suppose 0 = -5*a, -5*g - 4*a + 15 = -9*a. Let t = -2 - -2. Find q, given that -1/3*q**2 + 0*q + t - 1/3*q**g = 0.
-1, 0
Let w(m) = -5*m**4 + 7*m**3 - m - 1. Let v(g) = -6*g**3 + g**4 + 2*g - 3*g**4 + 6*g**4. Let d(n) = -3*v(n) - 2*w(n). Factor d(y).
-2*(y - 1)**3*(y + 1)
Factor 0 - 8*x**3 - 14/3*x**4 - 2*x**2 + 4/3*x.
-2*x*(x + 1)**2*(7*x - 2)/3
Let t(d) be the second derivative of -d**5/40 + d**4/6 + 11*d**3/12 + 3*d**2/2 - 40*d. Find g, given that t(g) = 0.
-1, 6
Let c(t) = 7*t**4 + 8*t**3 + 11*t**2 + 2*t - 4. Let x(o) = 5 - 44*o**2 - 16*o**3 - 13*o**4 + 2 - 4*o + 23*o**2. Let m(q) = -7*c(q) - 4*x(q). Factor m(w).
w*(w + 1)**2*(3*w + 2)
Suppose -2*k = 4 + 8. Let i be k/(-1)*1/2. Suppose m + m**2 - 2/3 - 2/3*m**i = 0. What is m?
-1, 1/2, 2
Let c(n) = n**3 - 6*n**2 + 3*n. Let j be c(6). Factor -3*p**2 + 16 + 11 + j*p + 6*p**2.
3*(p + 3)**2
Let k be (-2)/(-4)*8/10. Let d(p) = -p**3 + 5*p**2 + 15*p - 5. Let a be d(7). Factor k*n**3 - 2/5*n**a + 0*n + 0.
2*n**2*(n - 1)/5
Factor s - 222*s**2 + 234*s**2 + 2*s**3 + 9*s.
2*s*(s + 1)*(s + 5)
Let t(i) = i. Let x(s) = -4*s**3 + 4*s**2 - 3*s - 5*s - 3*s**2 + 3*s. Let o(g) = -5*t(g) - x(g). Factor o(p).
p**2*(4*p - 1)
Let c be 53/24 - 19/(-152). Factor -c*x**3 - x**4 + x + 2/3 - x**2.
-(x + 1)**3*(3*x - 2)/3
Suppose 0 = 9*i - 7*i. Suppose 18/7*f**4 + 4/7*f**2 + 0 - 22/7*f**3 + i*f = 0. What is f?
0, 2/9, 1
Let z(k) = -12*k**4 + 16*k**3 + 2*k**2 + 7*k - 13. Let h(u) = u**4 - u**3 - u**2 + 1. Let a(s) = -22*h(s) - 2*z(s). Determine y, given that a(y) = 0.
1, 2
Let c(m) be the second derivative of m**5/20 - 2*m**4/3 + 3*m**3/2 + 2*m**2 - m. Let i be c(7). Factor 4*u**4 + i*u**2 - 14*u**3 + 0 + 0*u**4 - 10*u + 2.
2*(u - 1)**3*(2*u - 1)
Let l(h) be the first derivative of 0*h - 1/6*h**2 + 7/18*h**3 + 1. Factor l(f).
f*(7*f - 2)/6
Let j(a) = -a**2 - a. Let w be j(-1). Let h(y) be the second derivative of 1/63*y**7 + 0*y**3 + 1/30*y**5 + 0*y**4 - y + 2/45*y**6 + 0*y**2 + w. Factor h(u).
2*u**3*(u + 1)**2/3
Let a be ((-6)/8)/((-9)/36). Let f = 3 - a. Find t, given that -t - t**2 - t + f*t = 0.
-2, 0
Find l, given that 3/5*l**3 + 3/5*l**4 - 3/5*l**2 + 0 - 3/5*l = 0.
-1, 0, 1
Let g(w) be the second derivative of -w**4/6 + w**3 - 2*w**2 - 18*w. Let g(o) = 0. What is o?
1, 2
Let l = 2/11871 - 344351/546066. Let d = -3/23 - l. Find c, given that c + d*c**2 + 1/2 = 0.
-1
Let z(n) be the first derivative of -2*n**6/15 - 2*n**5/5 + 3*n + 9. Let m(u) be the first derivative of z(u). Factor m(p).
-4*p**3*(p + 2)
What is z in -6/5*z - 36/5 + 6/5*z**2 = 0?
-2, 3
Let n(d) = d**3 - 4*d**2 - d - 2. Let a(i) = 4*i**3 - 17*i**2 - 5*i - 9. Let o(z) = -2*a(z) + 9*n(z). Find v, given that o(v) = 0.
0, 1
Let o(x) be the second derivative of -x**4/28 - 4*x**3/7 - 24*x**2/7 + 18*x. Factor o(j).
-3*(j + 4)**2/7
Factor 0 - 3/4*u**2 - 3/4*u.
-3*u*(u + 1)/4
Let l = -26 + 80/3. Let d(h) = h**3 - 15*h**2 + 2. Let b be d(15). Let -l*m**b - 2*m - 4/3 = 0. Calculate m.
-2, -1
Let h(l) be the second derivative of -l**5/20 - 7*l**4/6 + 8*l**3/3 + 17*l**2/2 + 5*l. Let j be h(-15). Factor -2/7*i + 4/7 - 2/7*i**j.
-2*(i - 1)*(i + 2)/7
Let i = 5 + -1. What is f in -4 - 4*f + 8*f**2 - f - 2*f**2 + 2*f**3 + 3*f - 2*f**i = 0?
-1, 1, 2
Let x(y) be the second derivative of -y**5/50 + y**3/5 - 2*y**2/5 - 7*y. Solve x(p) = 0.
-2, 1
Let w = 57590225/366 - 157353. Let g = 1/122 - w. Factor -4*m**3 + g*m**2 + 0 + 8/3*m**4 - 2/3*m - 2/3*m**5.
-2*m*(m - 1)**4/3
Let w(i) be the first derivative of -1/2*i**4 - 16*i + 4*i**2 + 4 + 4/3*i**3. Factor w(v).
-2*(v - 2)**2*(v + 2)
Suppose 3*n + 30*l = 29*l - 2, -n - 6 = 3*l. Factor n + 0*j - 2/9*j**3 + 2/9*j**2.
-2*j**2*(j - 1)/9
Suppose 0 + u**4 + 1/2*u**5 + 0*u**3 + 0*u + 0*u**2 = 0. Calculate u.
-2, 0
Let z(h) be the first derivative of -h**2 - 2/3*h**3 + 0*h - 1/8*h**4 + 8. Determine v so that z(v) = 0.
-2, 0
Let b(f) be the second derivative of f**6/60 - f**5/8 + f**4/3 - f**3/3 - 6*f. Suppose b(l) = 0. What is l?
0, 1, 2
Let o = 6 + -3. Factor 16*k**o - 13*k**3 - 9*k + 0*k - 6.
3*(k - 2)*(k + 1)**2
Let o(r) = 6*r**4 - 10*r**3 + 10*r. Let w(k) = -12*k**4 + 19*k**3 + k**2 - 19*k. Let i(c) = -11*o(c) - 6*w(c). Determine u, given that i(u) = 0.
-1, 0, 2/3, 1
Factor 6*q**3 - 10*q**3 - q**3 + 10*q**2 - 10*q**3 + 5*q**5.
5*q**2*(q - 1)**2*(q + 2)
Let 352/3*u**2 + 32/3 + 280/3*u**3 + 14/3*u**5 + 64*u + 34*u**4 = 0. Calculate u.
-2, -1, -2/7
Let y(s) = -2*s**2 + 43*s + 22. Let j be y(22). Suppose 0 = -3*h + 9, 1 = -2*k + 3*h - 4. Find w, given that 0*w**k - 1/4*w + j + 1/4*w**3 = 0.
-1, 0, 1
Let n(w) = -w**2 + w + 1. Let l(u) = u - 8. Let q be l(9). Let m(s) = 4*s**2 - 3*s - 6. Let a(c) = q*m(c) + 5*n(c). Determine f,