of -g**7/840 - 7*g**6/160 + 49*g**5/240 + 23*g**4/32 + 36*g**2 - 2. Factor z(u).
-u*(u - 3)*(u + 1)*(u + 23)/4
Suppose -2*j - 4*c - 12 + 0 = 0, 0 = -5*j - 2*c - 6. Let b(v) be the first derivative of 0*v + 4/3*v**3 + 3 + j*v**2 - 1/2*v**4. Solve b(w) = 0 for w.
0, 2
Let i = 310/9 - 1195/36. Let z(x) be the first derivative of -15/2*x**2 + 5 + i*x**4 + 10/3*x**3 + 0*x. Let z(t) = 0. What is t?
-3, 0, 1
Factor 2010*v - 2200802*v**2 - 82524 + 82516 + 6382*v.
-2*(1049*v - 2)**2
Suppose -8*f + 9*f - 515 = -j, -1042 = -2*f + j. Factor f*d - 306*d + 1521 + d**2 - 291*d + 0*d**2.
(d - 39)**2
Let k(h) be the third derivative of 2*h**7/105 - 7*h**6/12 + 23*h**5/15 + 8*h**4/3 - 571*h**2 + h - 1. Factor k(f).
2*f*(f - 16)*(f - 2)*(2*f + 1)
Let q(w) be the second derivative of -w**6/6 - 119*w**5/4 - 295*w**4/6 - 1387*w. Factor q(x).
-5*x**2*(x + 1)*(x + 118)
Let z(i) = -i - 3. Let x be 10/(-2) - (-17 - -15). Let l be z(x). Let 0 - 1/6*q**4 + l*q + 1/2*q**3 - 1/3*q**2 = 0. Calculate q.
0, 1, 2
Let l(q) be the first derivative of -2*q**3/11 - 3897*q**2/11 + 1063. Let l(z) = 0. What is z?
-1299, 0
Let t(j) be the second derivative of -j**6/10 - 69*j**5/20 + 3*j**4/4 + 67*j**3/2 - 69*j**2 - 304*j. Solve t(x) = 0.
-23, -2, 1
Factor 1875/7*g**2 + 0 - 1725/7*g**3 - 21*g**4 - 3/7*g**5 + 0*g.
-3*g**2*(g - 1)*(g + 25)**2/7
Let x be ((-56)/(-8) - 1)/2. Factor -15*n**4 - 3*n**2 - 2*n - 5931 + 16*n**x + 0*n**4 + 5931 + 4*n**5.
n*(n - 2)*(n - 1)**2*(4*n + 1)
Let c(m) be the second derivative of m**6/60 - 11*m**5/40 - m**4/24 + 11*m**3/12 + 760*m. Factor c(j).
j*(j - 11)*(j - 1)*(j + 1)/2
Let y(q) be the first derivative of 183 + 0*q**2 + 0*q**3 + 0*q - 3/28*q**4. Let y(w) = 0. What is w?
0
Let c be 4/(-18) + 4696/72. Factor c*j + 11*j - 228 - 494 + j**2 - 3*j**2.
-2*(j - 19)**2
Let u(l) be the second derivative of -l**5/80 + 925*l**4/48 - 77*l**3/2 + 7491*l. Factor u(z).
-z*(z - 924)*(z - 1)/4
What is h in 142296 + 308*h + 1/6*h**2 = 0?
-924
Let s(x) = 7*x**3 + 4*x**2 - 67*x + 110. Let p(u) = -u**3. Let b(w) = -6*p(w) - s(w). Factor b(d).
-(d - 5)*(d - 2)*(d + 11)
Let q(r) be the first derivative of 4*r**5/5 - 316*r**4 + 2512*r**3/3 + 6402. Suppose q(p) = 0. Calculate p.
0, 2, 314
Let z(u) = -u**2 - 908*u + 147. Let p(d) = -3*d**2 - 1816*d + 245. Let s(g) = -3*p(g) + 5*z(g). Find j, given that s(j) = 0.
-227, 0
Let -847/8 + 15/8*u**2 - 33/8*u + 1/8*u**3 = 0. Calculate u.
-11, 7
Let t be 493/8 - (-1 + (-5)/(-8)). Suppose -17 + t = 5*a. Factor -709*f**5 + f**4 + 712*f**5 + 2*f + 5*f**2 - a*f**3 - 2*f**2.
f*(f - 1)**2*(f + 2)*(3*f + 1)
Let k = -133 + 135. Factor -h**3 - 7*h + 4*h**2 - 7*h**2 - 4*h**k + 3 - 15 - 9*h.
-(h + 2)**2*(h + 3)
Let g(w) be the first derivative of 27/2*w**6 + 0*w - 183*w**4 + 126/5*w**5 + 215 + 48*w**2 + 88*w**3. Let g(c) = 0. What is c?
-4, -2/9, 0, 2/3, 2
What is r in 209 + 0*r**4 - 11832*r**2 + 5*r**4 - 11*r**3 - 89 + 6*r**3 + 11782*r**2 + 20*r = 0?
-2, 2, 3
Let q(u) be the third derivative of u**8/448 - u**7/105 + u**6/80 - u**4/96 - 20*u**2 + 6*u. Determine f so that q(f) = 0.
-1/3, 0, 1
Let h be (-1)/(((-7)/4)/(-1) - (-42 - -44)). Let j(k) be the third derivative of 0*k + 0 + 1/102*k**5 + 0*k**3 - 12*k**2 - 1/34*k**h - 1/1020*k**6. Factor j(b).
-2*b*(b - 3)*(b - 2)/17
Let n(d) be the first derivative of -5/7*d**2 - 2/21*d**3 + 55 + 0*d. Let n(a) = 0. Calculate a.
-5, 0
Let f(o) be the third derivative of 1/150*o**5 + 23/30*o**4 + 0 + 158*o + o**2 + 529/15*o**3. Factor f(l).
2*(l + 23)**2/5
Solve -319003*a**3 - 164*a + 40 - 4*a**5 - 162*a**2 + 318819*a**3 + 56*a**4 + 418*a**2 = 0 for a.
1, 10
Factor -4*t**3 + 16*t**2 + 4*t**3 - 4*t**3 + 228*t + 48*t**2 + 0*t**3.
-4*t*(t - 19)*(t + 3)
Let a(g) be the first derivative of 3*g**6/2 - 24*g**5/5 + 21*g**4/4 - 2*g**3 - 591. Let a(w) = 0. Calculate w.
0, 2/3, 1
Let t = 70 + -38. Suppose 12*z - 10*z = -9*z. Factor 16 - 392*v**3 + 384*v**3 - 4*v**4 + t*v + 12*v**2 + z*v.
-4*(v - 2)*(v + 1)**2*(v + 2)
Suppose -171 = -20*f - 51. Let s(l) = 23*l - 133. Let y be s(f). Factor 1/2*c**y + 0 - 1/2*c**2 + 1/2*c**4 + 0*c - 1/2*c**3.
c**2*(c - 1)*(c + 1)**2/2
Let b(f) be the first derivative of -f**4/2 - 56*f**3/3 - 253*f**2 - 1452*f - 1522. Factor b(y).
-2*(y + 6)*(y + 11)**2
Let v(g) be the third derivative of g**8/13440 - g**7/4032 + g**6/5760 + g**4/12 - 28*g**3/3 - 291*g**2. Let p(w) be the second derivative of v(w). Factor p(q).
q*(q - 1)*(4*q - 1)/8
Let p = -677382/5 + 135486. Factor 2/5*y**5 - 32/15 + 32/15*y + 46/15*y**4 + p*y**2 + 128/15*y**3.
2*(y + 2)**4*(3*y - 1)/15
Suppose -7*b - 3*b = 10*b - 80. Let h(z) be the second derivative of 0*z**3 + 0 + 18*z + 8/3*z**2 - 1/9*z**b. Factor h(u).
-4*(u - 2)*(u + 2)/3
Let s(d) = 2*d**3 - 6*d**2 - 59*d + 111. Let h be s(-5). Factor -3/4*l**3 + h*l + 0 + 3/2*l**2.
-3*l*(l - 4)*(l + 2)/4
Let z(t) be the second derivative of -t**7/273 - 4*t**6/39 - 19*t**5/130 - 1241*t. Factor z(a).
-2*a**3*(a + 1)*(a + 19)/13
Suppose -8*o = -644 + 628. Let c(k) be the third derivative of 0*k + 1/30*k**4 + 0 - 1/45*k**3 + 7/450*k**5 - 8*k**o. Solve c(r) = 0 for r.
-1, 1/7
Suppose 0 = 6*o - 4*o + 3*z + 38, -3*o - 67 = 2*z. Let l be (o + -4 + -5)/(4/(-2)). Factor -93*g**3 - 12*g**2 + l*g**4 + 17*g**3 - 36*g**5 - 149*g**4.
-4*g**2*(g + 3)*(3*g + 1)**2
Let h(o) = -o**3 + 16*o**2 + 17*o - 18. Let s be h(17). Let w be (-220)/(-36) + -6 - 50/s. Solve w*x**3 - 40/9*x**2 + 8/9*x + 8/3*x**4 + 0 = 0 for x.
-2, 0, 1/4, 2/3
Suppose 0 = 48*l - 4*l - 3960. Factor u + 50*u**2 - 3*u - 13*u - 95*u**2 + l + 40*u**2.
-5*(u - 3)*(u + 6)
Let f = 40 - 37. Suppose -4*y - f*j + 41 = 6, 15 = -2*y + 5*j. Solve 19*u + 4*u**4 + 12*u**2 + 4 + 16*u**3 + 7*u**2 + y*u**2 - 3*u = 0.
-1
Suppose -88*g = 66*g. Let c(u) be the second derivative of 1/130*u**5 - 11*u - 2/39*u**4 - 1/39*u**3 + 4/13*u**2 + g. Factor c(n).
2*(n - 4)*(n - 1)*(n + 1)/13
Let a(x) = -17*x**3 - 32*x**2 + 60*x + 6. Let m(t) = 155*t**3 + 290*t**2 - 540*t - 55. Let h(q) = 55*a(q) + 6*m(q). Factor h(b).
-5*b*(b - 2)*(b + 6)
Solve -4*m**3 + 252/13*m - 288/13 + 86/13*m**2 + 2/13*m**4 = 0 for m.
-2, 1, 3, 24
Let u = 42761/106940 + 3/21388. Let b(z) be the third derivative of -2*z**2 + 0 + 1/600*z**6 - 7/300*z**5 + 2/15*z**4 - u*z**3 + 0*z. Factor b(r).
(r - 3)*(r - 2)**2/5
Let p(k) = -26*k**3 - 3*k**2 - 4*k - 2. Let y be p(-1). Solve -3*m**2 + y*m - 23*m + 6 - 3*m**2 - 2*m**3 = 0 for m.
-3, -1, 1
Let s be (-8)/(-6)*5/10*6. Solve s*k + 261*k**2 - 293*k**2 - 15*k - 4*k**3 - 17*k = 0 for k.
-7, -1, 0
Let p(m) be the first derivative of 5*m**4/12 - 35*m**3/3 + 111*m + 64. Let a(d) be the first derivative of p(d). Factor a(b).
5*b*(b - 14)
Let n(w) be the first derivative of -3*w**5/5 + 9*w**4/2 + 9*w**3 - 21*w**2 + 1201. Suppose n(h) = 0. Calculate h.
-2, 0, 1, 7
Let a(w) be the third derivative of -w**8/5880 + 11*w**7/8820 - w**6/420 + w**4/24 + w**3/6 - 81*w**2. Let u(s) be the second derivative of a(s). Factor u(n).
-2*n*(n - 2)*(4*n - 3)/7
Let n = 61093 - 61091. Let 3/4*z**3 - 18*z + 21 + 9/4*z**n = 0. What is z?
-7, 2
Determine r, given that -262*r**5 - 26160*r**2 - 11915*r - 1590 - 3121*r**4 + 148*r**5 + 159*r**5 - 8682*r**3 - 14208*r**3 - 3889*r**4 = 0.
-1, -2/9, 159
Let j(q) = q**3 - 36*q**2 + 154*q + 33. Let p be j(31). Factor -3 + p*u**2 - 1/2*u - 1/2*u**3.
-(u - 3)*(u - 2)*(u + 1)/2
Let g be -3 - 3*(-21)/(-9). Let o(v) = 3*v**3 - 7*v**2 + 2*v + 17. Let d(w) = -w**3 + 4*w**2 - w - 8. Let u(s) = g*d(s) - 4*o(s). Suppose u(c) = 0. Calculate c.
-6, -1, 1
Let w(g) be the first derivative of -2*g**5/45 - 83*g**4/18 - 164*g**3/27 + 505. Suppose w(o) = 0. Calculate o.
-82, -1, 0
Let m = 76760 + -383788/5. Determine l so that 13/5*l - 1/5*l**2 - m = 0.
1, 12
Let j(x) be the first derivative of x**4/12 - 8*x**3/3 + 15*x**2/2 + 126*x - 2326. Factor j(l).
(l - 21)*(l - 6)*(l + 3)/3
Let p = -488 + 491. Factor -z**3 + 0*z**3 + 3*z**4 + 2*z**5 - p*z**5 - 5*z**4.
-z**3*(z + 1)**2
Let s(w) be the third derivative of -w**7/1680 + w**6/120 - 3*w**5/80 - 10*w**3 + 30*w**2. Let g(z) be the first derivative of s(z). Factor g(b).
-b*(b - 3)**2/2
Let w(v) be the second derivative of -1/3*v**2 + v - 1/90*v**6 + 1/12*v**4 + 1/60*v**5 - 1/18*v**3 + 12. Suppose w(y) = 0. Calculate y.
-1, 1, 2
Let l(j) be the third derivative of j**5/390 - 17*j**4/78 - 5*j**3 + 6*j**2 - 