 r(a) = 0. What is a?
-1, 0, 1/3, 1
Let a(r) be the third derivative of 0*r + 1/6*r**5 - 1/105*r**7 + 1/4*r**4 - 1/20*r**6 + 0 - 30*r**2 - 4/3*r**3. Factor a(b).
-2*(b - 1)**2*(b + 1)*(b + 4)
Let z(i) be the first derivative of 1/15*i**3 + 0*i + 1/20*i**2 - 4 + 1/40*i**4. Solve z(l) = 0 for l.
-1, 0
Factor 64/3*z**2 + 20 + 122/3*z + 2/3*z**3.
2*(z + 1)**2*(z + 30)/3
Let z(i) be the third derivative of i**6/300 + 49*i**5/150 + 19*i**4/12 + 47*i**3/15 - 90*i**2. Factor z(c).
2*(c + 1)**2*(c + 47)/5
Let t(i) = 2*i - 1. Let r be t(-4). Let b(z) = -2*z - 18. Let p be b(r). Factor 0 + p*d**2 - 1/2*d + d**3 + 0*d**4 - 1/2*d**5.
-d*(d - 1)**2*(d + 1)**2/2
Let s(v) be the second derivative of -v**4/72 - 13*v**3/36 - 11*v**2/6 - 4*v + 9. Factor s(r).
-(r + 2)*(r + 11)/6
Let p(h) be the first derivative of h**8/1120 + 3*h**7/560 + h**6/240 - 3*h**5/80 - h**4/8 - 3*h**3 - 4. Let o(w) be the third derivative of p(w). Factor o(r).
3*(r - 1)*(r + 1)**2*(r + 2)/2
Let s(x) = -3*x**4 + 14*x**3 + 29*x**2 - 8*x - 32. Let r(d) = 2*d**4 - 7*d**3 - 15*d**2 + 4*d + 16. Let w(h) = 5*r(h) + 3*s(h). Factor w(u).
(u - 1)*(u + 2)**2*(u + 4)
Let 0 - 50/3*a**2 + 5/3*a**3 + 15*a = 0. What is a?
0, 1, 9
Let x(v) be the first derivative of v**4/18 + 292*v**3/9 + 21316*v**2/3 + 6224272*v/9 - 192. Let x(o) = 0. Calculate o.
-146
Let r(b) = b**2 - 4*b + 8. Let l be r(3). Solve -h**5 + 2*h**5 - 32*h**3 + 3*h**l + 64*h = 0 for h.
-2, 0, 2
Suppose 3*b + 249 = -39. Let u be 4/6 - -1*(-56)/b. Factor 9/4*k**3 + u*k - 4*k**2 + 1/2.
(k - 1)**2*(9*k + 2)/4
Let f = -130 + 132. Let w(p) be the first derivative of -3 - 1/8*p**f - 1/10*p**5 + 5/16*p**4 + 1/4*p - 1/4*p**3. Solve w(i) = 0.
-1/2, 1
Let h(m) be the third derivative of 0 + 0*m**4 + 1/315*m**7 - 36*m**2 + 0*m + 0*m**3 - 1/90*m**6 + 1/90*m**5. What is a in h(a) = 0?
0, 1
Let d(k) = -k**2 + 17*k + 10. Let c be d(0). Let b(t) be the third derivative of 1/30*t**5 + 0 + 0*t + 0*t**4 + c*t**2 - 1/3*t**3. Factor b(x).
2*(x - 1)*(x + 1)
Factor -92 - 3*u**2 + 4*u**2 + 25*u - 6*u + 0*u**2.
(u - 4)*(u + 23)
Let t = 11258/50499 - 4/5611. Suppose -4/9 + t*s + 2/9*s**2 = 0. Calculate s.
-2, 1
Let f(d) = 3*d**4 + 28*d**3 + 11*d**2 + 3*d. Let q(g) = -6*g**4 - 55*g**3 - 21*g**2 - 5*g. Let t(c) = -5*f(c) - 3*q(c). Factor t(j).
j**2*(j + 8)*(3*j + 1)
Let q be (1 - (-9)/(-6))*-1*4. Factor -16*o**2 - 10 + 3*o**2 + 25*o + 5*o**3 - 2*o**2 - 5*o**q.
5*(o - 2)*(o - 1)**2
Let i(p) be the first derivative of 4/7*p**2 - 14 + 10/7*p - 2/21*p**3. Determine y so that i(y) = 0.
-1, 5
Let a(r) be the third derivative of r**6/30 - 12*r**5/5 + 54*r**4 + 7*r**2 + 9*r. Factor a(b).
4*b*(b - 18)**2
Let t(u) = -u**3 - 38*u**2 + 127*u + 169. Let m be t(-41). Factor -5/2*x**m + 5/2*x**2 + 0 - 5/2*x**4 + 5/2*x**3 + 0*x.
-5*x**2*(x - 1)*(x + 1)**2/2
Let -88/3*x**3 + 8 + 14/3*x**4 + 178/3*x**2 - 128/3*x = 0. Calculate x.
2/7, 1, 2, 3
Suppose 21 = 87*t - 136 - 17. Solve 14*h**5 + 0 + 64/7*h**3 - 8/7*h**t + 0*h - 22*h**4 = 0.
0, 2/7, 1
Suppose -5*m + 0*f = -4*f - 33, 4*f + 8 = 0. Suppose -5*l + 30 = m*w, 2*l + 0 = 8. Factor -10/3*y**3 + 2/3*y**4 - 2*y + 14/3*y**w + 0.
2*y*(y - 3)*(y - 1)**2/3
Let a be (-25)/(-9) - 4*2/(-36). Determine c so that -8 + 5*c**a + 79*c - 17 - 24*c - 35*c**2 = 0.
1, 5
Let o(d) be the first derivative of 1/6*d**3 + 27 + 1/2*d**2 - 3/2*d. Factor o(s).
(s - 1)*(s + 3)/2
Suppose 5*x = j - 7, -5*j + 4*x - 1 + 15 = 0. Factor 0 + 1/6*z**j + 1/3*z.
z*(z + 2)/6
Solve 1/3*r**4 + 6*r**2 - 8 + 3*r**3 - 4/3*r = 0.
-6, -2, 1
Let s(h) be the third derivative of h**7/1260 + h**6/108 + h**5/45 + 19*h**3/6 - 17*h**2. Let t(k) be the first derivative of s(k). Solve t(a) = 0 for a.
-4, -1, 0
Let t(y) be the second derivative of -10*y + 1/12*y**4 + 0*y**2 - 1/42*y**7 + 3/20*y**5 - 1/30*y**6 + 0 - 1/3*y**3. Solve t(a) = 0 for a.
-2, -1, 0, 1
Suppose -15*r + 7*r = -80. Let z be ((-42)/(-350))/(12/r - 1). Factor -9/5*i**2 - z*i + 0.
-3*i*(3*i + 1)/5
Let k(z) = -z**3 + 10*z**2. Let i be k(10). Factor 1/2*p**3 + 0*p - 3/4*p**4 + 1/4*p**5 + i*p**2 + 0.
p**3*(p - 2)*(p - 1)/4
Suppose -6 = -g + 4*r, -2*g + 2*r + 0 = -6. Suppose 24*h - h**2 - g*h**2 - 39 - 9 = 0. What is h?
4
Let p = 11168/3 + -3456. Factor -5/3*n**5 - 5120/3 - p*n**3 - 3200/3*n**2 - 100/3*n**4 - 6400/3*n.
-5*(n + 4)**5/3
Factor 8/5*k**3 + 0*k + 2/5*k**2 + 8/5*k**4 + 0.
2*k**2*(2*k + 1)**2/5
Let r(k) be the first derivative of -3*k**4/4 + 81*k**2/2 + 162*k + 499. Determine q so that r(q) = 0.
-3, 6
Let s(p) be the second derivative of p**4/4 + 9*p**3/2 - 15*p**2 + 4*p - 75. Find o such that s(o) = 0.
-10, 1
Let q(c) be the second derivative of 0*c**2 + 4*c - 2/9*c**4 + 0 + 4/9*c**3 + 1/30*c**5. Solve q(w) = 0 for w.
0, 2
Let o(h) be the first derivative of -h**6/195 + h**5/26 - h**4/13 - 4*h**3/39 + 8*h**2/13 - h + 3. Let a(n) be the first derivative of o(n). Factor a(f).
-2*(f - 2)**3*(f + 1)/13
Let y(a) = -95*a - 285. Let u be y(-3). Let c(j) = -j**3 + 5*j**2 + j - 1. Let i be c(5). Factor 0*f**3 - 2/9*f**i + 2/9*f**2 + 0*f + u.
-2*f**2*(f - 1)*(f + 1)/9
Let 2/19*z**3 + 2/19*z**4 - 20/19*z**2 + 0 + 16/19*z = 0. Calculate z.
-4, 0, 1, 2
Factor 5*g**4 - 180*g - g**4 + 36*g**3 - 200 + 37*g**2 + 14*g**2 + g**2.
4*(g - 2)*(g + 1)*(g + 5)**2
Let o = 2002 + -3921/2. Let r = -41 + o. Let 0 + r*m - 1/4*m**2 = 0. Calculate m.
0, 2
Suppose 2/9*f**5 + 2/9*f**2 - 10/9*f**4 - 16/9*f + 14/9*f**3 + 8/9 = 0. What is f?
-1, 1, 2
Let g(k) be the third derivative of -k**8/3360 - k**7/80 - 49*k**6/240 - 343*k**5/240 - k**3 + 28*k**2. Let c(j) be the first derivative of g(j). Factor c(w).
-w*(w + 7)**3/2
Let d(z) be the third derivative of -z**4/12 + z**3 + 33*z**2. Let k be d(2). Solve -q + 1/2*q**k + 0 = 0.
0, 2
Let b(y) = -y**2 + 11*y - 7. Let v be b(7). Suppose 5*f - 56 = -6. Factor -f - 3*o + 27*o**2 + 4 - 6*o**4 + 39*o**3 + v*o**4.
3*(o + 1)**3*(5*o - 2)
Let a(o) be the first derivative of -o**7/525 - o**6/150 - o**5/150 + 5*o**2 - 12. Let g(n) be the second derivative of a(n). Factor g(f).
-2*f**2*(f + 1)**2/5
Let q(m) = -m**2 - 2*m. Let a(h) = 2*h**3 - 6*h**2 - 50*h + 120. Let s(z) = -2*a(z) + 4*q(z). Factor s(d).
-4*(d - 4)*(d - 3)*(d + 5)
Let j(x) be the first derivative of x**4/4 - x**3/3 + 14. Let i(r) = 3*r**5 - 3*r**4 - 3*r**3 + 3*r**2. Let c(q) = i(q) + 3*j(q). Factor c(a).
3*a**4*(a - 1)
Factor -4*c + 4/7*c**3 + 0 + 24/7*c**2.
4*c*(c - 1)*(c + 7)/7
Let b(w) be the third derivative of w**7/10080 + w**6/1440 + w**5/480 - 5*w**4/24 - 17*w**2. Let p(o) be the second derivative of b(o). Factor p(c).
(c + 1)**2/4
What is h in -10/9*h**3 + 14/3*h**2 - 2/9*h**4 + 16/9 - 46/9*h = 0?
-8, 1
Factor -9*n**2 + 5*n**2 + 39*n - 104*n + 8*n**2 + 12*n + 13.
(n - 13)*(4*n - 1)
Let k = -73/2 - -369/10. Factor 0 + 0*s**2 + k*s - 2/5*s**3.
-2*s*(s - 1)*(s + 1)/5
Suppose 4*m - 5*m = -3. Let a(v) = -v**2 - 39*v + 5. Let o be a(0). Factor -4*q**o + 9*q**4 - m*q**4 - 2*q**4.
-4*q**4*(q - 1)
Suppose 4*c = -2*t + 12, -2 = -3*c - 3*t + 10. Let y(l) be the third derivative of -1/8*l**4 + 0*l + 1/30*l**5 + 1/6*l**3 - 3*l**c + 0. Factor y(f).
(f - 1)*(2*f - 1)
Let a be 21/(-4) + 131/((-917)/(-42)). Let n be (-2 - (-1 + -1)) + 0. Factor 0*g**2 + 0*g**3 + n*g + 0 - a*g**4.
-3*g**4/4
Factor 18858 + 69*f**2 - 60330 + 3*f**3 - 285*f**2 + 5184*f.
3*(f - 24)**3
Suppose -7*v = -8*v + 2. Solve 24*u + 5*u**4 - 32 + 68*u**v + 41*u + 35*u**3 + 52 + 7*u**2 = 0 for u.
-4, -1
Factor -12*n**4 - 24*n**2 + n**4 - 13*n**4 - 11*n**4 + 37*n**4 - 2*n**3.
2*n**2*(n - 4)*(n + 3)
Let a(b) be the third derivative of 0*b + 0*b**6 + 0*b**4 + 0 + 5/6*b**3 + 14*b**2 + 1/42*b**7 - 1/6*b**5. Factor a(m).
5*(m - 1)**2*(m + 1)**2
Suppose -38*x - 35*x = 22*x. Let p = -164 - -496/3. Factor 4/3 + x*f - p*f**2.
-4*(f - 1)*(f + 1)/3
Determine x so that -1/6*x**2 + 23/6*x + 0 = 0.
0, 23
Let s = -11 - -13. Suppose 0*l - 6 = -s*l. Factor w**l - 4*w**3 + 4*w**3 - w - 1 + w**2.
(w - 1)*(w + 1)**2
Let f(v) = v**3 - 8*v**2 - 8*v - 6. Let r be f(9). Factor -88 + 5*x**5 + 4*x**r + 10*x**4 + x**3 + 88.
5*x**3*(x + 1)**2
Let k be 1*(-2)/(-14)*0. Let o(w) be the first derivative of -1/6*w**3 + 2 + 0*w**2 + k*w. Factor o(g).
-g**2/2
Let n(m) = 8*m**2 - 59 + 21*m**3 + 6*m + 12*m**4 - m**3 + 65. Let d(g) = g + 1. Let w(o) = 6*d(o) - n(o). Determine l so that w(l) = 0.
-1, -2/3, 0
Suppose -9*u = -