*5 - 23*v**3 = 0.
-1, 0, 1
Let f(x) be the first derivative of -x**6/6 - 49*x**5/5 + 51*x**4/4 + 49*x**3/3 - 25*x**2 - 1235. Factor f(b).
-b*(b - 1)**2*(b + 1)*(b + 50)
Let v(r) be the third derivative of -1/336*r**8 - 1/12*r**6 + 1/6*r**3 - 1 + 1/6*r**5 + 1/42*r**7 - 5/24*r**4 + 6*r**2 + 0*r. Factor v(w).
-(w - 1)**5
Let -7/3*x**2 + 7/3*x**4 + 0 + 0*x - 1/9*x**3 + 1/9*x**5 = 0. What is x?
-21, -1, 0, 1
Suppose -4*p + 5*a - 260 = 565, -2*p - 3*a = 385. Let f be (0 + -1)*(6 + p/32). Factor 1 - 1/4*y**3 - y**2 + f*y.
-(y - 1)*(y + 1)*(y + 4)/4
Let f = -2075 + 12451/6. Let u(m) be the second derivative of 1/36*m**4 + 1/3*m**2 + 0 - f*m**3 - 8*m. Factor u(p).
(p - 2)*(p - 1)/3
Let w(y) = 8*y + 10. Let n be w(11). Suppose 13*s = -59 + n. Solve 0 + 0*a**s + 1/3*a**4 + 0*a - 4/3*a**2 = 0 for a.
-2, 0, 2
Let k(l) be the third derivative of 0*l**3 + 47*l**2 + 0 + 1/30*l**5 + 5/12*l**4 + 0*l. Suppose k(h) = 0. Calculate h.
-5, 0
Let c(w) be the first derivative of -4/15*w**4 + 0*w - 2/15*w**5 + 95 + 2/15*w**2 - 2/45*w**3. Let c(h) = 0. Calculate h.
-1, 0, 2/5
Let o(a) be the first derivative of a**5/70 + a**4/6 + 11*a**3/21 + 5*a**2/7 - 103*a + 83. Let t(z) be the first derivative of o(z). Factor t(p).
2*(p + 1)**2*(p + 5)/7
Let c(a) be the first derivative of -a**4/2 - 112*a**3/3 - 400*a**2 - 1536*a + 6711. Solve c(j) = 0 for j.
-48, -4
Let y = -4803 + 4830. Let i(l) be the second derivative of -5/48*l**3 - y*l + 0 + 1/32*l**5 + 1/96*l**4 - 1/240*l**6 + 0*l**2. Factor i(x).
-x*(x - 5)*(x - 1)*(x + 1)/8
Suppose 5*r + 12 = -2*s, 24 = -4*r + 2*s - 6*s. Factor r*x + 0 + 1/2*x**2 - 1/4*x**3.
-x**2*(x - 2)/4
Let r = 985/579 + -264/193. Factor -1/3*b**4 + 4/3*b**3 - r*b**2 + 0 - 2*b.
-b*(b - 3)*(b - 2)*(b + 1)/3
Factor -346*a**2 - 9*a**3 + 61*a**3 - 50*a**3 + 0*a + 0*a.
2*a**2*(a - 173)
Let b(l) = l**2 + 3*l + 27. Let f be b(0). Let z = f - 9. Factor -t - 2*t - 17*t**2 + z*t**2 - 2*t.
t*(t - 5)
Let g(x) be the second derivative of -x**7/5880 + x**6/280 - 9*x**5/280 + x**4/4 + x**2 - x - 6. Let r(b) be the third derivative of g(b). Solve r(w) = 0.
3
Let k(t) be the second derivative of -t**4/6 + 844*t**3/3 - 178084*t**2 - 1575*t. Factor k(v).
-2*(v - 422)**2
Let q(j) be the first derivative of -2*j**3/3 + 525*j**2 - 2897. Find g such that q(g) = 0.
0, 525
Let q(s) be the second derivative of -s**8/26880 - s**7/10080 + s**6/240 - 53*s**4/3 + s + 53. Let b(j) be the third derivative of q(j). Factor b(h).
-h*(h - 3)*(h + 4)/4
Let g = 669/53 - 5299/424. Factor g*k - 1/8*k**3 + 3/8*k**2 - 3/8.
-(k - 3)*(k - 1)*(k + 1)/8
Let z(t) be the second derivative of t**6/105 - t**5/10 + 8*t**4/21 - 4*t**3/7 - 73*t. Factor z(a).
2*a*(a - 3)*(a - 2)**2/7
Let k be (5/10 - 1)*0/(-1). Suppose k = -2*v - 2*v + 16. Factor 8*w**2 - 4*w - 4*w**3 + 4*w - 137*w**4 + 125*w**v.
-4*w**2*(w + 1)*(3*w - 2)
Let x(f) be the second derivative of -f - 1/72*f**4 + 16 - 1/36*f**3 + 1/2*f**2. What is s in x(s) = 0?
-3, 2
Let d(z) = 3*z**2 - 20*z - 40. Let u(f) = 21*f**2 - 141*f - 285. Let r(l) = 27*d(l) - 4*u(l). What is x in r(x) = 0?
-2, 10
Let r be -13 + 15 + 51/20 + (-36)/20. Let 4*d**3 + 0 + 7/4*d**4 + r*d**2 + 1/2*d = 0. Calculate d.
-1, -2/7, 0
Let c(m) be the second derivative of m**5/135 + m**4/12 - 5*m**3/27 - 15*m**2 - 4*m + 5. Let g(f) be the first derivative of c(f). Suppose g(d) = 0. What is d?
-5, 1/2
Suppose k - 2*a = 14, 3*k + 21*a - 16*a = 9. Let u(c) be the first derivative of 0*c - 4/9*c**3 + k + 4/15*c**5 + 1/9*c**6 - 1/3*c**2 + 0*c**4. Factor u(m).
2*m*(m - 1)*(m + 1)**3/3
Let q be (112/1204)/(186/27993). Factor 0 - q*d - 16*d**2 - 11/2*d**3 - 1/2*d**4.
-d*(d + 2)**2*(d + 7)/2
Let k be ((3 - 2) + 0 + -24)/(-1). Let i be 10/4 - k/46. Factor 1/2*t - t**i + 0.
-t*(2*t - 1)/2
Let a(t) be the third derivative of -t**6/60 + 76*t**5/15 - 149*t**4/4 - 763*t**2 - 4. Factor a(i).
-2*i*(i - 149)*(i - 3)
Let p(s) be the third derivative of s**5/180 + 7*s**4/72 + s**3/3 + 830*s**2. Factor p(u).
(u + 1)*(u + 6)/3
Let t = 474137/135466 - 3/67733. What is o in -t - 1/2*o**2 + 4*o = 0?
1, 7
Let r(d) be the third derivative of -d**6/540 + d**5/90 - 29*d**3/6 - 2*d**2 - 17*d. Let i(w) be the first derivative of r(w). Solve i(n) = 0 for n.
0, 2
Let v be 19/(-57) - (-17)/24 - 276*(-6)/1728. Factor 0 + 2/9*q**3 + 0*q - v*q**2.
2*q**2*(q - 6)/9
Let t = -291456 - -874385/3. Let 20/3*x - 5/3*x**4 - t*x**3 + 8/3 - 2*x**2 = 0. What is x?
-2, -2/5, 1
Let t(q) be the third derivative of q**7/15120 - q**6/432 + q**5/80 + 19*q**4/24 + 11*q**2. Let n(b) be the second derivative of t(b). Factor n(o).
(o - 9)*(o - 1)/6
Let y(k) be the third derivative of 1/90*k**6 + 0*k - 1/18*k**4 - 47 + 16/9*k**3 + 4*k**2 - 8/45*k**5. Factor y(w).
4*(w - 8)*(w - 1)*(w + 1)/3
Let a(g) = 11*g**2 + 3*g + 11. Let z be a(-4). What is p in -z*p**2 - 20 - 23*p**3 + 7*p**3 - 140*p - 39*p**3 = 0?
-2, -1, -2/11
Let u(q) be the second derivative of -3*q**5/20 + 12*q**4 + 2*q**3 - 288*q**2 + 12032*q. Factor u(a).
-3*(a - 48)*(a - 2)*(a + 2)
Let l = -177839 - -533557/3. Find y such that 0 + 10/3*y**4 + 2/3*y**5 - 16*y + 4/3*y**3 - l*y**2 = 0.
-3, -2, 0, 2
Let a(f) be the second derivative of -3*f**5/160 - 87*f**4/32 + 57*f**3/2 - 69*f**2 - 36*f - 1. What is v in a(v) = 0?
-92, 1, 4
Let p = 2197 - 2193. Let f(z) be the third derivative of -1/6*z**p + 1/90*z**5 + 0*z + z**3 - 8*z**2 + 0. Factor f(u).
2*(u - 3)**2/3
Suppose -2*o + 31*k + 875 = 34*k, -o - 4*k = -435. Let -958*l**2 - 678*l**2 + o*l**3 + 461*l**3 - 824*l**2 - 350*l - 354*l - 48 = 0. What is l?
-2/15, 3
Suppose 0 = 4*o - 3*d - 14, -5*o = d - 3*d - 14. Factor 328*q + 2*q**3 + 31*q**o + 11 - 7*q**2 - 298*q - 3*q**4.
-(q + 1)**3*(3*q - 11)
Let k = -205 - -213. Suppose g + 0*g = 112. Factor -1 - k - 146*b**2 + g*b**3 - 4 + 84*b - 5 - 32*b**4.
-2*(b - 1)**2*(4*b - 3)**2
Factor 1494/5*x**2 + 1488/5 - 3/5*x**3 - 2979/5*x.
-3*(x - 496)*(x - 1)**2/5
Suppose 2*i - 104 = -2*i + v, -143 = -5*i - 2*v. Suppose 8*d = -d + i. Factor 0*t**4 + 0*t + 0 - 4/3*t**2 - 4*t**d + 16/3*t**5.
4*t**2*(t - 1)*(2*t + 1)**2/3
Let k(j) = -j**2 + 11*j + 3. Let o be k(12). Let w be 17 + o + -1 + -3. Factor -d**w - 83*d**2 - 2*d**4 - 27 + 36*d + 89*d**2 - 12*d**3.
-3*(d - 1)**2*(d + 3)**2
Let a(o) be the third derivative of o**5/12 + 5*o**4 + 595*o**3/6 + o**2 - 218*o. Factor a(z).
5*(z + 7)*(z + 17)
Factor 42*h + 2*h**3 + 36 - 23*h**2 - 12*h**2 - 102 + 11*h**2 + 46.
2*(h - 10)*(h - 1)**2
Let l = 1010 + -1007. Suppose l*z - n = 5, -4*z + 3*n = n - 6. Let 7/2*d**z + 1/2*d - 3/2 - 5/2*d**3 = 0. What is d?
-3/5, 1
Let y = -112 + 116. Factor -y*u**2 - 410 + 410 - 5*u - 3*u.
-4*u*(u + 2)
Let d = 9 - 69/8. Suppose -11394*a - 3 = -11397*a - 2*o, -5*a + 18 = -o. Factor d*g**4 + 0*g - 9/8*g**a + 0 + 3/4*g**2.
3*g**2*(g - 2)*(g - 1)/8
Let t(j) = -291*j**2 - 122*j + 1109. Let k(l) = -208*l**2 - 81*l + 739. Let z(f) = 7*k(f) - 5*t(f). Factor z(m).
-(m - 31)*(m - 12)
Let i(x) = 2*x**2 - 38*x + 200. Let n = 36 + -35. Let k(z) = -z. Let j(q) = n*i(q) + 2*k(q). Factor j(h).
2*(h - 10)**2
Let m(p) be the first derivative of -5*p**3 + 83*p**2/4 - 10*p + 2749. Factor m(b).
-(2*b - 5)*(15*b - 4)/2
Let q(d) be the second derivative of -192*d**2 + 6*d**4 - 44*d + 0 - 64/3*d**3 + 9/5*d**5 + 2/15*d**6. Factor q(a).
4*(a - 2)*(a + 3)*(a + 4)**2
Suppose -5*o + 345 = q, -16*o + 17*o = 3*q + 69. Determine h so that -6*h**5 - 1830*h**3 + 1836*h - 994 + 207*h**4 + 196 + 660*h**2 - o = 0.
-1, 1/2, 1, 17
Let i(c) be the first derivative of -64/11*c + 1/22*c**4 - 68 - 20/33*c**3 + 32/11*c**2. Factor i(n).
2*(n - 4)**2*(n - 2)/11
Suppose 6*u - 49 - 31 = -10*u. Let p(o) be the third derivative of 22*o**2 + 0*o**3 + 1/25*o**u + 0*o - 1/10*o**4 + 0 - 1/200*o**6. Factor p(v).
-3*v*(v - 2)**2/5
Let z(h) = 3*h + 3*h**3 + 3 - 5 - 8*h**3. Let s(w) = -11*w**3 + 6*w - 5. Let r = -7222 + 7224. Let t(l) = r*s(l) - 5*z(l). Find d, given that t(d) = 0.
-1, 0, 1
Let f be (-11 - -2) + -9 + (-6900)/(-360). Solve 29/6*r**3 + 0*r + 0 + f*r**5 + 5*r**4 + r**2 = 0 for r.
-3, -1, -2/7, 0
Solve 9/2*h + 3/4*h**2 + 0 = 0.
-6, 0
What is c in -37624*c**2 + 4919*c**3 + 22790*c**2 + 75603*c - 35322 - 3801*c**3 - 30622*c**2 - 222*c**4 + 3*c**5 + 4276*c**3 = 0?
1, 14, 29
Let a(i) = 9*i**2 - 1289*i - 5180. Let l be a(-4). Factor 0 + l*y**2 - 96*y + 3/2*y**4 - 51/2*y**3.
