he first derivative of -q**5/5 - 107*q**4/4 - 139*q**3 - 517*q**2/2 - 206*q + 11193. Factor p(i).
-(i + 1)**2*(i + 2)*(i + 103)
Suppose 1139 - 164 = 15*m. Let v be m/35 + 6/42. Factor 44*u - 27 + 190 - 16 + v*u**2 + 95.
2*(u + 11)**2
Suppose 58 = 3*r + 3*p - 98, -5*r + 272 = p. Suppose -24 = -g + n, 2*g - 4*g + r = 5*n. Solve 0 - g*a**3 + 0*a + 15/2*a**2 + 15/2*a**4 = 0 for a.
0, 1/3, 3
Let m(a) be the third derivative of -a**5/30 + a**4/6 + 96*a**3 + 2*a**2 + 545*a. Factor m(b).
-2*(b - 18)*(b + 16)
Solve -7443/2*m + 1860 + 1863*m**2 - 3/2*m**3 = 0 for m.
1, 1240
Let g = 202 + -197. Suppose 246 + g*c**4 - 150 + 285*c**2 + 154 + 475*c + 65*c**3 = 0. What is c?
-5, -2, -1
Let s(r) be the third derivative of -r**7/140 + 2*r**6/5 - 27*r**5/8 + 1200*r**2. Find l, given that s(l) = 0.
0, 5, 27
Suppose -25*d + 21 = -29. Factor -6*g - 342*g - 3*g**d - 5171 - 4921.
-3*(g + 58)**2
Let w be 245/6*188/987. Let s be (-18)/24 + 118/72. Solve -8/9*n**5 - w*n**2 - s*n - 46/9*n**4 - 92/9*n**3 + 8/9 = 0 for n.
-2, -1, 1/4
Let a = 3167/130 - 623/26. Determine b, given that 3/10*b**4 - 6/5 + a*b - 8/5*b**3 + 21/10*b**2 = 0.
-2/3, 1, 2, 3
Suppose 1135*w + 142*w - 1306 = 1248. Solve 2/11*z + 10/11 - 10/11*z**w - 2/11*z**3 = 0 for z.
-5, -1, 1
Let n(v) be the first derivative of -14*v**6/3 + 1128*v**5/5 - 346*v**4 - 272*v**3 + 706*v**2 - 312*v - 611. Solve n(l) = 0.
-1, 2/7, 1, 39
Let c(b) be the second derivative of -1/110*b**5 + 0 + 245*b + 0*b**2 + 26/33*b**3 - 1/6*b**4. Solve c(i) = 0 for i.
-13, 0, 2
Determine h, given that 136/3 - 2/3*h**2 + 134/3*h = 0.
-1, 68
Let n(d) be the third derivative of -d**7/420 + 11*d**6/48 + 35*d**5/24 - 55*d**4/48 - 29*d**3/2 + 7009*d**2. Solve n(z) = 0.
-3, -1, 1, 58
Let j(c) be the first derivative of -3*c**4/2 - 1421*c**3/2 - 5313*c**2/4 - 531*c + 6147. Suppose j(g) = 0. Calculate g.
-354, -1, -1/4
Suppose -24 - 31 = -5*a. Let d = a - -5. What is q in -1 - 10*q - 8*q - 2*q**2 + d*q**2 + 5 = 0?
2/7, 1
Let b(d) be the first derivative of -204 + 1/10*d**4 + 2/15*d**6 + 8/15*d**3 + 1/5*d - 9/25*d**5 - 3/5*d**2. Factor b(c).
(c - 1)**3*(c + 1)*(4*c - 1)/5
Let s(p) be the third derivative of p**5/240 - 47*p**4/96 - 25*p**3/4 - 2282*p**2. What is z in s(z) = 0?
-3, 50
Let j(n) = n**3 - 22*n**2 - 104*n - 18. Let g be j(26). Let a be (g/(-66))/(6/66). Suppose 0 - 1/5*w**a + 0*w**2 + 1/5*w = 0. What is w?
-1, 0, 1
Let c = 514 - 512. Find i such that 52*i**3 - 50*i**3 - 2*i + 0 + 8 - 6*i**c - 2*i**2 = 0.
-1, 1, 4
What is c in -2502*c**2 + 3238*c**2 - 472*c - 28*c**3 + 264*c = 0?
0, 2/7, 26
Solve 8*t + 3/5*t**3 + t**4 + 0 - 102/5*t**2 = 0 for t.
-5, 0, 2/5, 4
Let p(o) be the first derivative of -o**4/8 - 272*o**3/3 + 545*o**2/4 - 2833. Find m, given that p(m) = 0.
-545, 0, 1
Let u(v) be the first derivative of 2*v**5/75 - 309*v**4/10 + 63654*v**3/5 - 9834543*v**2/5 - 4842. Factor u(a).
2*a*(a - 309)**3/15
Suppose 20 = -37*p + 41*p. Let n(y) be the second derivative of -2/35*y**7 - 18/25*y**p + 17/50*y**6 + 8*y + 0 + 13/20*y**4 - 1/5*y**3 + 0*y**2. Solve n(v) = 0.
0, 1/4, 1, 2
Find l, given that 4907*l - 29880*l**2 - 158507*l + 8192000 + 30840*l**2 - 2*l**3 = 0.
160
Let c(t) = 3 - 11*t - 15*t**2 + 13 + 11*t**2 + 6*t**2. Let m be c(2). Factor -8/11 - 8/11*o + 18*o**m.
2*(9*o - 2)*(11*o + 2)/11
Suppose n = -3*b + 3, 3*n + 7*b = 3*b - 1. Let w be ((-6 - n) + -1 + -3)/(-1). What is f in -50*f + 6*f + w*f**2 - 3*f**2 = 0?
0, 11
Let m(n) be the second derivative of n**5/70 + 23*n**4/6 + 313*n**3/7 + 1395*n**2/7 + 5*n - 143. Solve m(w) = 0.
-155, -3
Let v(x) = x**2 + 4*x + 24. Let y(h) = -h - 4*h + 5*h - 1 - 2*h + 4*h. Let p(j) = v(j) + 4*y(j). Determine f so that p(f) = 0.
-10, -2
Suppose -3*k + 1 = 4*f, -5*k + 2 + 3 = 5*f. Let q be (1 - 4)*-1 - (4 - k). What is s in s**3 - 3*s**3 - 6*s - 6*s**2 - q + 0 + 0*s**3 = 0?
-1
Determine y, given that -2/3*y**3 - 568/3*y**2 - 13630*y - 26508 = 0.
-141, -2
Let h(u) be the first derivative of -u**3/7 + 225*u**2/14 - 2832*u/7 + 5914. Suppose h(d) = 0. What is d?
16, 59
Let t(b) = 4*b**3 - 7*b**2 + 6*b - 9. Let w be t(2). Let s(q) be the second derivative of -11/24*q**3 - 1/16*q**4 + w*q - 3/4*q**2 + 0. What is l in s(l) = 0?
-3, -2/3
Let a(s) be the third derivative of s**5/60 + 13*s**4/3 - 35*s**3/2 + 6*s**2 - 60. Factor a(t).
(t - 1)*(t + 105)
Let z(y) be the first derivative of y**6/6 + 53*y**5/5 + 51*y**4/2 + 13198. Factor z(t).
t**3*(t + 2)*(t + 51)
Let l(k) be the third derivative of k**6/360 + k**5/8 - 28*k**3/3 + 47*k**2. Let q(f) be the first derivative of l(f). Factor q(a).
a*(a + 15)
Let q(m) be the first derivative of -m**4/22 - 70*m**3/33 + 152*m**2/11 - 312*m/11 - 990. Determine l, given that q(l) = 0.
-39, 2
Let t(z) be the third derivative of 5/72*z**4 + 0 + 1/72*z**6 + 1/18*z**5 + 0*z**3 + 0*z - z**2. Factor t(i).
5*i*(i + 1)**2/3
Let y(f) be the first derivative of f**3/15 - 75*f**2 + 28125*f - 197. Factor y(g).
(g - 375)**2/5
Let j = -417 + 421. Suppose 26*w**3 - 11*w**3 - 10*w**3 - 3*w**5 - 3*w**3 + 5*w**5 - j*w**4 = 0. Calculate w.
0, 1
Let r(d) be the second derivative of -7*d**5/50 + 13*d**4/5 + 140*d - 5. Solve r(k) = 0.
0, 78/7
Let o(q) be the first derivative of 26*q**3 - 80*q**2 + 8*q + 1401. Determine c, given that o(c) = 0.
2/39, 2
Let u(v) be the second derivative of -v**5/5 - 570*v**4 - 487350*v**3 + v - 1502. Find y such that u(y) = 0.
-855, 0
Suppose -2*p = -v + 8, -3*v - 3*p + 6 = -0*p. Let 12*s - 160 + 160 + v*s**2 = 0. What is s?
-3, 0
Let u be (4 + -2 + -5)/((-42)/56). Let m(y) = -6*y**3 + 10*y**2 + 4*y - 20. Let g(b) = -8*b**3 + 10*b**2 + 4*b - 21. Let n(r) = u*g(r) - 5*m(r). Factor n(o).
-2*(o - 1)*(o + 2)*(o + 4)
Suppose -72 = 4*w - 52. Let m(k) = 8*k**3 - 196*k**2 + 4416*k - 8094. Let b(f) = -7*f**3 + 194*f**2 - 4415*f + 8095. Let y(v) = w*m(v) - 6*b(v). Factor y(o).
2*(o - 45)**2*(o - 2)
Let a be 261/(-290) + (-651)/(-310). Factor a*r**3 + 0*r**2 + 3/5*r**4 - 3/5 - 6/5*r.
3*(r - 1)*(r + 1)**3/5
Find h such that 71/7*h**2 - 20/7*h - 3*h**3 - 12/7 = 0.
-2/7, 2/3, 3
Let x(j) = -j**2 - 37*j. Let z(q) = -2*q**2 - 42*q. Let i(t) = -4*x(t) + 3*z(t). Determine g so that i(g) = 0.
0, 11
Suppose 0 = 2*z - 2*h + 10, -3*z - 17831 = 5*h - 17880. Factor 20/11*p**z + 0*p**2 + 0*p + 2/11*p**5 - 2*p**4 + 0.
2*p**3*(p - 10)*(p - 1)/11
Let o(j) be the second derivative of 2/3*j**3 + 1/36*j**4 - 13/6*j**2 + 0 - 59*j. Factor o(c).
(c - 1)*(c + 13)/3
Let a(g) = g**2 - 2*g - 13. Let t be a(-6). Let j = -25 + t. Factor -q + 20*q - j + 6*q + 35*q**2.
5*(q + 1)*(7*q - 2)
Let f be -2045 + 2115 + (-412)/6. Factor 0 - 1/3*q**5 - 4*q**2 - 2*q**4 - 13/3*q**3 - f*q.
-q*(q + 1)**2*(q + 2)**2/3
Let p(n) be the third derivative of 53*n**2 + 0*n - 125/24*n**6 + 25/4*n**5 - 25/8*n**4 + 5/6*n**3 + 0. Suppose p(c) = 0. Calculate c.
1/5
Let f(v) be the third derivative of -3/95*v**6 - 4/19*v**3 + 11/57*v**4 - 1 + 51*v**2 + 11/1995*v**7 + 0*v + 3/190*v**5. Solve f(x) = 0.
-1, 3/11, 2
Let p(m) be the second derivative of m**6/4500 + 3*m**5/500 + 139*m**3/6 - 41*m. Let j(d) be the second derivative of p(d). Factor j(u).
2*u*(u + 9)/25
Let o(s) be the third derivative of 2*s**7/105 + 17*s**6/30 - 37*s**5/15 + 19*s**4/6 - 17*s**2 - 5. Factor o(x).
4*x*(x - 1)**2*(x + 19)
Let m(x) = x**3 + 43*x**2 - 43*x + 47. Let a be m(-44). Let c be 9/3 + (3 - 6)/a. Suppose 0 + 1/2*j**c + 1/4*j**3 - 3/4*j = 0. What is j?
-3, 0, 1
Let o(j) be the second derivative of 2/15*j**6 + 0*j**2 - 2/3*j**4 + 0 - 56*j - 4/3*j**3 + 3/10*j**5 - 1/21*j**7. Suppose o(b) = 0. What is b?
-1, 0, 2
Determine y so that 0*y - 1/3*y**5 + 0 + 11*y**2 + 5*y**4 - 47/3*y**3 = 0.
0, 1, 3, 11
Let t(r) = 16*r - 192. Let h be t(12). Let v(a) be the third derivative of 4*a**2 + h*a + 1/240*a**6 - 1/3*a**3 + 0*a**4 + 1/40*a**5 + 0. Solve v(l) = 0 for l.
-2, 1
Let v = 89/72 + -437/360. Let t(p) be the second derivative of -1/18*p**4 + 0 + 16*p - 1/30*p**5 + 1/9*p**3 + v*p**6 + 0*p**2. Factor t(d).
2*d*(d - 1)**2*(d + 1)/3
Suppose j - 80 = -9*j. Factor -15*g**2 + 14*g**2 + 13*g**2 - 4 - 16*g**2 - j*g.
-4*(g + 1)**2
Let m(g) = 2*g**2 + 6*g + 5. Let y be m(-3). Let v(p) be the third derivative of -21*p**2 + 0 + 0*p - 1/30*p**y + 1/5*p**4 - 4/15*p**3. Factor v(l).
-2*(l - 2)*(5*l - 2)/5
Let q(t) = -65*t**2 - 2185*t + 1690. Let z(f) = -5*f**2 - 168*f + 131