ive of p(j). Factor o(s).
s*(s - 2)/3
Let q(b) = -192*b**2 + 156*b - 15. Let m(u) = -u - 1. Let z be 18/10*(-5 - 280/(-24)). Let p(i) = z*m(i) + q(i). What is t in p(t) = 0?
3/8
Let p(b) be the second derivative of -3*b - 8/7*b**3 + 4/7*b**2 - 17 + 11/70*b**5 + 3/14*b**4. Factor p(v).
2*(v - 1)*(v + 2)*(11*v - 2)/7
Suppose 2/3*w - 52/3*w**4 + 50/9*w**5 - 68/9*w**2 + 56/3*w**3 + 0 = 0. What is w?
0, 3/25, 1
Let q(s) be the third derivative of -5*s**8/336 + 46*s**7/21 - 45*s**6/4 + 67*s**5/3 - 445*s**4/24 - 53*s**2 - 11. Factor q(f).
-5*f*(f - 89)*(f - 1)**3
Let a be 25/(51000/(-32))*7/(-28). Let o(r) be the second derivative of 0*r**4 - 1/119*r**7 + 0 + 0*r**2 + 0*r**3 - 19*r + 0*r**5 - a*r**6. Solve o(z) = 0.
-1/3, 0
Suppose 26*z + 306 = -25*z. Let u be ((-110)/(-15))/11 - z/(-9). Solve -3/2*n**2 + u - 3/2*n = 0.
-1, 0
Let d = -91773/5 + 18355. Factor 48/5*w**2 - 4*w**3 + 14/5 - 44/5*w + d*w**4.
2*(w - 7)*(w - 1)**3/5
Factor 1/2*w**2 - 86*w + 0.
w*(w - 172)/2
Let c = 23 + -21. Let u = -11623/4 - -2906. Factor u*z**3 + 3/4*z - 3/4*z**c - 1/4.
(z - 1)**3/4
Let 32*u**2 + 6523*u**3 - 3527*u**3 - 180*u**4 - 3708*u**3 = 0. What is u?
-4, 0, 2/45
Factor 1822915*g**3 + 2*g + g**4 - 23 - 1822935*g**3 + 2*g + 51*g**2 - 45.
(g - 17)*(g - 2)**2*(g + 1)
Suppose -4*s - 111 = t, -3*s = t + 2*t + 342. Let y = t + 672. Factor 12*x + 4*x**5 - y*x**4 + 274*x**4 + 8*x**2 + 275*x**4 - 16*x**3.
4*x*(x - 3)*(x - 1)*(x + 1)**2
Let s be (-2)/12*(-24)/9. Let x be ((-8)/(-52))/((-42)/182) - (-24)/27. Factor -s*q - x*q**2 + 0.
-2*q*(q + 2)/9
Suppose 5*k - 4 = 6. Let i be (8/(-76 - -4))/(664/(-2241)). Factor 0 + 3/8*r - i*r**k.
-3*r*(r - 1)/8
Let r(u) be the third derivative of 2/63*u**4 + 0*u + 1/630*u**5 + 100*u**2 + 0 + 1/9*u**3. Solve r(o) = 0 for o.
-7, -1
Let c(f) be the third derivative of 2/3*f**3 - 17*f**2 - 1/24*f**4 - 1/24*f**5 + 0 - 1/240*f**6 - 2*f. Let c(x) = 0. Calculate x.
-4, -2, 1
Factor 0 + 16*f - 2/5*f**3 + 36/5*f**2.
-2*f*(f - 20)*(f + 2)/5
Let k(z) be the first derivative of -5*z**6/6 - 7*z**5 + 55*z**4/4 + 115*z**3/3 - 25*z**2 - 80*z + 390. Determine c, given that k(c) = 0.
-8, -1, 1, 2
Let k = 20039 + -180347/9. Factor -k*r + 0 + 10/3*r**2.
2*r*(15*r - 2)/9
Suppose -40 = -11*v + 4. Suppose v = z - 0. Factor 3*d**3 + 108*d**z - 212*d**4 + 101*d**4.
-3*d**3*(d - 1)
Let o be -25 + 1 + 1 + (-3211)/(-247) + 2 + 8. Factor -1/2*v**5 - 20*v**3 + o*v + 0 - 7*v**4 + 0*v**2.
-v**3*(v + 4)*(v + 10)/2
Let f(a) be the second derivative of a**5/140 + 5*a**4/28 - 11*a**3/3 - 7*a - 21. Factor f(h).
h*(h - 7)*(h + 22)/7
Let s(g) be the first derivative of 1/9*g**6 - 1/3*g**4 + 15 + 1/3*g**2 + 2/15*g**5 - 4/9*g**3 + 2/3*g. Suppose s(a) = 0. What is a?
-1, 1
Find n, given that -3943*n + 7 - 35 - 26 - 165*n**2 + 2452*n = 0.
-9, -2/55
Let h(y) = y**2 - 3*y - 1. Let s(c) = -c**3 + 10*c**2 + 7*c - 28. Let f(b) = -12*h(b) + 3*s(b). Determine k, given that f(k) = 0.
-3, 1, 8
Let k(o) be the second derivative of 0*o**4 + 0 + 20*o + 0*o**3 - 1/30*o**5 - 11/2*o**2. Let m(q) be the first derivative of k(q). What is b in m(b) = 0?
0
Suppose -22*p = -25*p - 5*k + 20, 0 = k - 4. Let j(d) be the second derivative of 0*d**2 + 0*d**3 + p + 1/36*d**4 + 2*d. Factor j(i).
i**2/3
Suppose -27*h**5 + 96 + 11*h**4 + 70*h**3 + 57*h**3 - 96*h - 22*h**3 + 25*h**4 - 114*h**2 = 0. Calculate h.
-4/3, 1, 2
Factor 872356*l + 1/3*l**3 - 934*l**2 - 814780504/3.
(l - 934)**3/3
Let y(a) be the first derivative of -10*a**6/3 + 29*a**5/15 + 209*a**4/6 - 563*a**3/9 + 94*a**2/3 - 4*a + 1114. Let y(p) = 0. What is p?
-3, 1/12, 2/5, 1, 2
Determine w, given that 8*w - 231 - 125*w**2 + 460 - 229 + 7*w = 0.
0, 3/25
Let f(y) be the second derivative of y**7/168 + 5*y**6/72 - 17*y**3/6 - 80*y - 2. Let d(h) be the second derivative of f(h). Factor d(q).
5*q**2*(q + 5)
Suppose -41*b + 65*b = 72. Let o(c) be the first derivative of 11 + 10*c + 5*c**b + 35/2*c**2. What is m in o(m) = 0?
-2, -1/3
Let t(j) be the third derivative of 0*j + 0*j**3 - 1/90*j**6 - j**2 - 1/54*j**5 + 0*j**4 + 235 - 1/945*j**7. Factor t(w).
-2*w**2*(w + 1)*(w + 5)/9
Let q = -106880/47 - -2274. Let j = q - -439/376. Factor 3/8*z**3 - 9/8*z**2 - 3/8*z + j.
3*(z - 3)*(z - 1)*(z + 1)/8
Suppose 16*b + 242 + 14 = 0. Let j be (90/35 + -3)/(b/28). Factor j*p**3 + 0*p**2 + 0*p + 3/4*p**4 + 0.
3*p**3*(p + 1)/4
Let c(b) = -36*b**2 - 11*b + 11. Let u be c(1). Let t be ((-3)/5)/(u/120). Factor -8*x - 2/3*x**4 - 6 + 4/3*x**t + 8/3*x**3.
-2*(x - 3)**2*(x + 1)**2/3
Let x(w) be the first derivative of -868332*w**3 - 16140*w**2 - 100*w - 7724. Determine q so that x(q) = 0.
-5/807
Factor 16/3*a + 4/3*a**2 - 20/3.
4*(a - 1)*(a + 5)/3
Factor -5124 + 3*k**2 + 3*k**3 + 3*k + 10263 - 5121 - 9*k**2 - 6*k**2.
3*(k - 3)*(k - 2)*(k + 1)
Let q(y) be the first derivative of -3*y**6/14 + 51*y**5/35 - 9*y**4/4 - 3*y**3 + 48*y**2/7 + 36*y/7 - 193. Determine x, given that q(x) = 0.
-1, -1/3, 2, 3
Let y(i) = -9*i**2 + 93*i - 99. Let g(n) = 6 - 1 + 7 + n**2 - n - 9. Let d(o) = 5*g(o) + y(o). Solve d(u) = 0 for u.
1, 21
Let n(w) be the third derivative of w**5/15 - 142*w**4/3 - 190*w**3 + 3*w**2 + 40*w - 1. Find v, given that n(v) = 0.
-1, 285
Let w(g) be the third derivative of -g**8/1176 + g**7/245 + g**6/210 - g**5/35 - g**4/84 + g**3/7 - 286*g**2 + g. Find t, given that w(t) = 0.
-1, 1, 3
Let s be 160/(-8) - (-2635)/124 - 3/(-4). Determine q so that 8/5*q - 32/5 + 4/5*q**s = 0.
-4, 2
Factor -4*r + 10*r**2 + 2/3*r**3 - 560/3.
2*(r - 4)*(r + 5)*(r + 14)/3
Let s(r) be the third derivative of -2*r**2 + 1/5*r**3 - 26*r - 1/300*r**5 + 1/120*r**4 + 0. Solve s(j) = 0 for j.
-2, 3
Let -41*y**2 + 15*y**2 + 22*y**2 - 4*y**3 = 0. What is y?
-1, 0
Let t(w) be the second derivative of -w**7/210 + 139*w**6/150 - 1007*w**5/20 + 14281*w**4/60 - 7004*w**3/15 + 2312*w**2/5 + w + 355. Factor t(d).
-(d - 68)**2*(d - 1)**3/5
Suppose -17 = -4*v + b, 10*v + 5990*b = 5989*b + 39. Factor 0 + 4/3*c - 1/3*c**3 - 4/3*c**2 + 1/3*c**v.
c*(c - 2)*(c - 1)*(c + 2)/3
Let h = -1675/118 + 867/59. Solve 0 + 0*k - h*k**2 + 25/4*k**3 = 0 for k.
0, 2/25
Determine z so that 1018*z**2 + 1088*z + 652*z**4 - 2428*z**2 - 4542*z**2 - 36*z**5 + 7930*z**3 - 1724*z**4 - 2938*z**3 = 0.
-34, 0, 2/9, 2
Suppose 2*k - 31 = -s, -5*k = 2*s - 7*s - 70. Solve 3*z + k*z + 2*z**2 + 13*z - 7*z = 0.
-12, 0
Determine p, given that 12/7*p**3 - 2/7*p**4 + 0 + 0*p + 80/7*p**2 = 0.
-4, 0, 10
Solve 0 + 96*q + 16*q**2 + 2/3*q**3 = 0 for q.
-12, 0
Let b = 165 + -162. Determine h so that -36*h**2 + 36*h**4 - b*h - 12*h - 15*h**3 + 3*h + 27*h**5 = 0.
-1, -2/3, 0, 1
Factor 320401535*b**2 + 5049009*b**3 - 320401535*b**2 - 4494*b**4 - b + b**5 + b.
b**3*(b - 2247)**2
Suppose 4*p - 12 = 68. Suppose -p = -0*z - 5*z, f = 5*z - 18. Find j, given that 9 + 3*j**f + 123*j - 67*j + 3*j**3 - 71*j = 0.
-3, 1
Let r(f) be the first derivative of f**4/2 - 268*f**3/3 + 524*f**2 - 1040*f + 1367. Determine s, given that r(s) = 0.
2, 130
Let z(p) be the first derivative of 2*p**3/21 + 2*p**2/7 - 6*p/7 - 885. Factor z(d).
2*(d - 1)*(d + 3)/7
Let p be 35/45 + -1 - 240/(-108) - -2. Let o(c) be the third derivative of 7/48*c**p - 12*c**2 + 0 + 1/240*c**6 + 1/4*c**3 + 0*c + 1/24*c**5. Factor o(d).
(d + 1)**2*(d + 3)/2
Let v(h) be the second derivative of -h**4/90 - 34*h**3/45 - 15*h**2 - 223*h - 3. Suppose v(f) = 0. What is f?
-25, -9
Let w = -35 - -33. Let c be (w/6)/(4/(-36)). Let 4*u - u**4 - 4*u**2 + 3*u**2 - c*u + 2*u**2 - u**3 = 0. What is u?
-1, 0, 1
Let k(d) be the first derivative of 43 + 11/14*d**4 - 38/21*d**3 + 0*d + 6/35*d**5 + 5/7*d**2. Find c such that k(c) = 0.
-5, 0, 1/3, 1
Let g(l) = -5*l**2 + 670*l - 1272. Let r(o) = 5*o**2 - 675*o + 1270. Let u(p) = 5*g(p) + 4*r(p). Factor u(a).
-5*(a - 128)*(a - 2)
Suppose -63*z - 43*z = 6*z - 448. Let g(i) be the second derivative of 3/2*i**5 + 54*i**2 - 26*i + 13/4*i**z - 30*i**3 + 1/10*i**6 + 0. Let g(l) = 0. What is l?
-6, 1
Let p(v) be the third derivative of -7*v**6/180 - v**5/18 + 4*v**4/9 - 4*v**3/9 - 1246*v**2. Suppose p(i) = 0. What is i?
-2, 2/7, 1
Solve -36/5*a**4 + 0 - 162/5*a**2 + 1/5*a**5 + 133/5*a**3 + 64/5*a = 0.
0, 1, 2, 32
Let l be 3/(4 - (-15 + 11 - -4))*4. Factor 3/2*r - 3/8*r**l - 9 + 9/4*r**2.
-3*(r - 6)*(r - 2)*(r + 2)/8
Factor 1/3*z**2 - 2/3*z - 8.
(z - 6)*(z + 4)/3
Determine j so that -