*3 + 9226*j**2. Factor s(p).
2*(p - 3)*(p + 42)*(4*p - 1)/3
Suppose 10*b - 8 = -2*f + 14*b, b + 11 = -4*f. Let n be 4 + (-244)/80 + f/10. Factor 27/8*j**4 - n*j**2 + 3/8 - 9/2*j**3 + 3/2*j.
3*(j - 1)**2*(3*j + 1)**2/8
Suppose 3500 = d + 4*d. Suppose 2*k - 14 = -4*l + 3*k, -16 = -5*l + 2*k. Let -l*s**3 - 540*s - 380 - s**3 - d - 90*s**2 = 0. Calculate s.
-6
Let q = -534350/7 + 2671771/35. Factor 1/5*a**3 - 13/5*a - q*a**2 + 3.
(a - 5)*(a - 1)*(a + 3)/5
Let k(f) be the third derivative of f**6/160 + 5*f**5/4 - 521*f**4/32 + 105*f**3/2 - 4557*f**2. Find b, given that k(b) = 0.
-105, 1, 4
Let b(p) = -10*p**2 - 7*p + 25. Let x(u) = 1. Let l(o) = o**2 + 3*o - 6. Let a(q) = l(q) + 6*x(q). Let n(z) = 22*a(z) + 2*b(z). Factor n(g).
2*(g + 1)*(g + 25)
Let p(w) = w**2 + 6*w + 1. Let j be p(-6). Let k be (-3)/j*(-14)/21. Let -2*q**2 - 5 + 2*q**2 - 4*q + q**k = 0. Calculate q.
-1, 5
Let u(d) = 9*d**4 + 9*d**3 - 2*d**2 - 4. Let r(p) = -40*p**4 - 37*p**3 + 9*p**2 + 17. Let n(w) = -4*r(w) - 17*u(w). Factor n(y).
y**2*(y - 1)*(7*y + 2)
Let m(o) be the first derivative of o**5/30 + 31*o**4/8 + 2291*o**3/18 + 1905*o**2/4 - 1350*o - 553. What is z in m(z) = 0?
-45, -4, 1
Let k be -11*(-1)/6 - (-41 - -9)/192. Let z(i) be the second derivative of -1/42*i**4 + 0*i**k + 0*i**3 - 1/35*i**5 + 0 - 1/105*i**6 + i. Factor z(q).
-2*q**2*(q + 1)**2/7
Suppose 2*u = -3*h + 11, 5*h - 19 + 14 = 0. Let y(c) be the first derivative of 1/3*c**u - 17 + 0*c - 4/9*c**3 + 0*c**2. Factor y(v).
4*v**2*(v - 1)/3
Let r(g) = 23*g**2 + 30*g - 1421. Let t(x) = -11*x**2 - 5*x. Let w(b) = 2*r(b) + 4*t(b). Factor w(c).
2*(c - 29)*(c + 49)
Let o(n) be the first derivative of -n**5/50 + n**4/15 + n**3/3 - 6*n**2/5 - 133*n - 62. Let g(p) be the first derivative of o(p). What is z in g(z) = 0?
-2, 1, 3
Find g such that 5044*g**3 + 13 - 630*g - 15*g**5 - 25*g**4 - 4 - 4559*g**3 - 615*g**2 - 9 = 0.
-7, -2/3, 0, 3
Let w(m) be the first derivative of 51/4*m**2 + 17 + 9/2*m + 9/2*m**3 - 15/8*m**4. Factor w(s).
-3*(s - 3)*(s + 1)*(5*s + 1)/2
Let o(c) be the third derivative of -c**7/210 - 53*c**6/24 - 17423*c**5/60 + 17689*c**4/24 - 3*c**2 - 47*c + 6. Factor o(z).
-z*(z - 1)*(z + 133)**2
Let -29/11*d**3 + 30/11 - 31/11*d**2 + 1/11*d**4 + 29/11*d = 0. What is d?
-1, 1, 30
Let p(f) be the third derivative of -4/51*f**3 + 0 + 1/510*f**5 + 130*f**2 + 0*f - 1/68*f**4. Find k, given that p(k) = 0.
-1, 4
Let s(j) = -2054*j + 154052. Let z be s(75). Factor -3/2 - 7/2*n - 17/8*n**z - 3/8*n**3.
-(n + 2)*(n + 3)*(3*n + 2)/8
Let z = 3753 - 2079. Let d be (-30)/(-144)*z/30. Find m such that -d*m**3 - 3/8*m**4 - 495/4*m**2 - 975/2*m - 375 = 0.
-10, -1
Let o(i) = i**3 - 8*i**2 + 12*i + 3. Let l be o(6). Suppose 0*h + 33 = l*h. Find z, given that -h + 3 - z**3 + 3*z**2 - z**2 + 4*z = 0.
-2, 2
Suppose 0 = z + 2*f + 5, -3*f - 6 - 14 = -z. Determine g so that -20 - 44*g - 5*g + 24*g - z*g**2 = 0.
-4, -1
Let c(w) = 55*w**3 - 8990*w**2 - 7705*w + 1390. Let t(g) = 2*g**3 + 2*g**2 + 10*g. Let f(u) = c(u) + 5*t(u). Let f(n) = 0. Calculate n.
-1, 2/13, 139
Factor -1/3*j**2 - 96 + 1/3*j**3 - 36*j.
(j - 12)*(j + 3)*(j + 8)/3
Factor -28*d**3 + 144*d**4 + 138*d**4 + 37*d**2 - 281*d**4 - 10*d**3.
d**2*(d - 37)*(d - 1)
Find d such that -162 + 63/2*d - 3/2*d**2 = 0.
9, 12
Let l(n) be the first derivative of -1/10*n**4 + 0*n + 76 - 2/5*n**2 + 2/5*n**3. Factor l(r).
-2*r*(r - 2)*(r - 1)/5
Let y = -411851/3 - -137296. What is l in 25/3*l**4 + 2*l - 8/3 - 20*l**3 + y*l**2 = 0?
-2/5, 4/5, 1
Let j(y) = -y**2 + 40*y - 103. Let s(x) = x - 5. Let p(z) = -j(z) + 9*s(z). Factor p(u).
(u - 29)*(u - 2)
Let d(y) be the second derivative of y**5/10 - 173*y**4/6 + 680*y**3/3 - 676*y**2 - 2*y + 539. Let d(c) = 0. Calculate c.
2, 169
Let b(k) be the first derivative of 4*k**6/39 - 42*k**5/65 + 37*k**4/26 - 16*k**3/13 + 4*k**2/13 + 2305. Let b(y) = 0. Calculate y.
0, 1/4, 1, 2
Factor 69*b**2 - 2340*b + 670830 + 66*b**2 - 134*b**2 + 698070.
(b - 1170)**2
Suppose -4*w + a + 8 = 0, 4*a + a - 17 = w. Let -32 + 73*z**3 - 33*z**w - 36*z**3 + 56*z - 28*z**2 = 0. What is z?
1, 2, 4
Let o = -507 - -509. Factor 10*i - 2*i**2 + 2*i**3 - 4*i**2 - 4 - 2*i**o.
2*(i - 2)*(i - 1)**2
Let j(l) = -2*l - 26. Let o be j(-12). Let u be 6 + -1 + 2/o. Suppose 2*g**2 + g**3 - 3*g**3 + 3*g - 2*g**u - g = 0. Calculate g.
-1, 0, 1
Let h(p) be the first derivative of -1/4*p**4 - 108*p - 142 - 36*p**2 - 5*p**3. Let h(w) = 0. Calculate w.
-6, -3
Let i be (46/28 - 2)*9450/(-4500). Let g(x) be the first derivative of i*x**4 + 0*x - 8/3*x**3 + 8/3*x**2 + 7 - 1/15*x**5. Let g(w) = 0. What is w?
0, 1, 4
Let j(l) = -l**4 - 49*l**3 - 435*l**2 - 399*l - 4. Let k(w) = -w**4 - 4*w**3 - 1. Let q(y) = j(y) - 4*k(y). Determine b, given that q(b) = 0.
-7, -1, 0, 19
Suppose -3*g + 5*c = -15, -2*c = -3*g - 6*c - 12. Let s be (-320)/350*21/(-12). Factor s*q + g + 4/5*q**2.
4*q*(q + 2)/5
Let m(t) = -t**3 - 5*t**2 + 4*t - 11. Let w be m(-6). Let j be (-14 + 0)*(3 - 4/w). Let -18*f + 13*f**3 - 4*f**2 + 48 - j*f - 5*f**3 - 4*f**3 = 0. Calculate f.
-3, 2
Let j(d) be the second derivative of 202*d + 204/5*d**2 + 21/10*d**4 - 72/5*d**3 + 0 - 3/50*d**5. Factor j(u).
-6*(u - 17)*(u - 2)**2/5
Let c(l) be the first derivative of 13*l**5/35 - 11*l**4/12 - l**3/21 + 5*l**2 - 168. Let k(u) be the second derivative of c(u). Factor k(o).
2*(o - 1)*(78*o + 1)/7
Let g be (107/(42693/(-228)))/(0 + -2). Let u(a) be the second derivative of -g*a**2 + 1/7*a**3 - 1/42*a**4 + 0 - a. Factor u(d).
-2*(d - 2)*(d - 1)/7
Let d(v) be the third derivative of v**5/240 - v**4/24 - 15*v**3/8 - 1095*v**2. Factor d(i).
(i - 9)*(i + 5)/4
Suppose -2*i - 6 = -5*i. What is m in 3*m**2 - 11*m**2 - 13*m**i - 15*m + 35 + m**2 = 0?
-7/4, 1
Let x(d) be the first derivative of -5*d**4/24 + 55*d**3/18 + 65*d**2/6 - 1623. Factor x(j).
-5*j*(j - 13)*(j + 2)/6
Factor -55815/4 - 137/4*z**2 - 1/4*z**3 - 5551/4*z.
-(z + 15)*(z + 61)**2/4
Let u = 37 + -70. Let c be (u/6 - -5)*6/(-1). Determine a so that 0 + 3/5*a**c + 0*a - 6/5*a**2 = 0.
0, 2
Suppose -q = 5, h + 0*q + 25 = -5*q. Let y be (-1645)/470 + 3 + (0 - 4) + 5. Determine f so that h - 1/2*f**2 + y*f = 0.
0, 1
Let q(x) be the first derivative of -585/4*x**2 - 3/8*x**4 + 29/2*x**3 + 91 - 675/2*x. Suppose q(t) = 0. Calculate t.
-1, 15
Let w be (3/18*-2 - 5/(-3))*(-15078)/(-5026). Suppose 0 - 3*o**2 + 3/7*o**w + 12/7*o**3 - 30/7*o = 0. What is o?
-5, -1, 0, 2
Let d(w) be the third derivative of -2*w**7/105 - 68*w**6/3 - 23120*w**5/3 - 5*w**2 - 4*w + 2. Let d(q) = 0. Calculate q.
-340, 0
Let k(v) be the second derivative of v**6/15 + 337*v**5/10 + 27535*v**4/6 - 48279*v**3 + 116964*v**2 - 2*v + 1504. Find x such that k(x) = 0.
-171, 1, 4
Let c(f) = -3*f**2 + 16*f + 241. Let h be c(-22). Let q = h - -1563. Determine g, given that -8/5 + q*g + 2/5*g**2 = 0.
-2, 2
Let u(i) be the second derivative of 3*i + 15 + 0*i**2 - 17/12*i**3 - 1/24*i**4. Factor u(f).
-f*(f + 17)/2
Let q = 31 + -37. Let f be 5 + (-4 - q - 5). Factor -20*u - 18*u**3 - 4*u + 12*u**f + 16*u**3 + 16.
-2*(u - 2)**3
Let a(o) be the first derivative of -12/7*o - 1/14*o**4 + 5/7*o**2 + 4/21*o**3 - 174. Factor a(h).
-2*(h - 3)*(h - 1)*(h + 2)/7
Suppose 4*r + 44*l - 454 = 294, -3*r - 5*l + 85 = 0. Suppose r - 58*o - 2/3*o**2 = 0. What is o?
-87, 0
Let p = 25 + -3. Solve 56*w**2 + 68*w - p + 11 + 12*w**3 + 35 = 0.
-3, -1, -2/3
Let a be (-46 + 1629/36)/(((-1)/4)/((-2)/(-2))). Let 28/9*v**2 + 64/9*v + 4/9*v**a + 16/3 = 0. What is v?
-3, -2
Let k be (0 - (5 + -3))*(-50)/(-20). Let i be (-5 - -11) + -8 - k. Suppose 2/15*x**2 + 2/15*x**4 + 0*x + 0 - 4/15*x**i = 0. Calculate x.
0, 1
Let s(c) be the third derivative of c**8/84 - 8*c**7/105 + c**6/30 + 2*c**5/5 + 1297*c**2 - 1. Solve s(h) = 0.
-1, 0, 2, 3
Let n be 46/132 - (-27 + 21)*(6 + (-398)/66). Find m, given that 0 - 2*m**2 + n*m**3 + 6*m = 0.
0, 6
Let v(w) be the second derivative of -7*w**5/4 + 605*w**4/12 - 820*w**3/3 + 210*w**2 - 416*w + 3. Factor v(i).
-5*(i - 14)*(i - 3)*(7*i - 2)
Suppose v = i - 1, -2*i + 13 = 2*v + 3. Let k = 80 + -75. Let 70*r + 0*r**2 + k*r**i + 22*r**2 - 3*r**3 + 50 = 0. Calculate r.
-5, -1
Let u(y) be the second derivative of -1/10*y**5 - 3*y**4 - 3*y + 0*y**2 + 0 - 27*y**3. Let u(w) = 0. What is w?
-9, 0
Let c(q) be the second derivative of 1/2*q**3 + 0 + 3*q**2