. Factor 0*j - 2/9*j**2 - 2/9*j**3 + u.
-2*j**2*(j + 1)/9
Let f = -1540 + 1468. Let s be 726/f + 10 + (-7)/(-3). Solve -s + 9/4*a**2 - 3/4*a + 3/4*a**3 = 0.
-3, -1, 1
Let m(v) be the third derivative of -98*v**7/15 + 14*v**6/3 - 20*v**5/21 - 339*v**2 + 3. Factor m(h).
-4*h**2*(49*h - 10)**2/7
What is z in 1763717 - 12925220*z + 3925*z**3 + 274191*z**3 + 16*z**5 + 1888547 - 3668*z**4 - 6804644*z**2 = 0?
-2, 1/4, 77
Let y(l) = 5*l**3 + 11*l**2 - 24*l + 8. Let c(q) = q**3 + 2*q**2 - 5*q + 2. Let b(d) = -d**2 + 3*d + 32. Let u be b(9). Let p(k) = u*c(k) + 4*y(k). Factor p(n).
-2*(n - 2)*(n - 1)*(n + 3)
Let z(q) = -27*q + 118. Let m be z(-10). Let o = m + -386. Let 0 - 35*p**3 + 15*p**4 + 80/3*p**o - 20/3*p = 0. What is p?
0, 2/3, 1
Let p(b) = -b**2 + 1. Let h = 12 - 6. Let n(y) = 5 + 7 - h*y**2 - 118*y + 124*y. Let l(i) = -n(i) + 3*p(i). Factor l(s).
3*(s - 3)*(s + 1)
Let i be 96/(-128)*(-16)/6 - 4. Let y(u) = -2*u - 1. Let q be y(i). Find s, given that 11/4*s - 1/2 - 4*s**2 + 7/4*s**q = 0.
2/7, 1
Suppose 2*b = 20*b - 108*b + 270. Let 4/3*z**5 + 16/3*z**4 + 8/3*z**2 + 0*z + 20/3*z**b + 0 = 0. Calculate z.
-2, -1, 0
Let 0 - 1/7*k**3 + 33/7*k**2 - 62/7*k = 0. Calculate k.
0, 2, 31
What is w in -2/5*w**2 + 32/5 - 63/5*w = 0?
-32, 1/2
Let p(t) be the second derivative of t**4/3 - 401*t**3/6 + 50*t**2 - 8*t - 194. Factor p(i).
(i - 100)*(4*i - 1)
Suppose 9 = 3*y, 8*y + 15 = 4*m + 13*y. Let a(b) be the first derivative of 0*b + 14 + 1/3*b**3 + 1/8*b**4 + m*b**2. Let a(t) = 0. What is t?
-2, 0
Suppose -432*h**2 - 574*h + 3656*h**3 + 99*h + 362*h**2 - 3651*h**3 = 0. What is h?
-5, 0, 19
Solve -360314 + 360402 + y**2 - 82*y + 34*y - 41*y = 0.
1, 88
Let d(k) = 4*k**2 + 2*k - 1. Let h(f) = f**3 - 18*f**2 - 11*f - 47. Let w(m) = 28*d(m) + 4*h(m). Factor w(t).
4*(t - 2)*(t + 3)*(t + 9)
Let b be (-156)/48 + -4 + 0 + 8. Let s(y) be the second derivative of 0 + 3/2*y**2 + b*y**4 - 5*y + 3/20*y**5 + 3/2*y**3. Determine x so that s(x) = 0.
-1
Factor 5*v**2 - 516*v - 7545 + 5850 - 1174*v.
5*(v - 339)*(v + 1)
Let k(b) be the second derivative of b**5/4 + 5*b**4/4 - 45*b**3 - 33*b + 20. Factor k(h).
5*h*(h - 6)*(h + 9)
Let j(t) = -6*t**4 + 100*t**3 - 406*t**2 + 176*t - 4. Let g(n) = -6*n**4 + 100*n**3 - 409*n**2 + 165*n - 5. Let y(f) = 4*g(f) - 5*j(f). Factor y(i).
2*i*(i - 11)*(i - 5)*(3*i - 2)
Suppose 18*l - h + 2281 = 13*l, 5*h = 5*l + 2265. Let x = l + 459. Solve -27/2*j**4 + 36*j**x + 3/2 + 27*j**3 + 13*j = 0 for j.
-1/3, 3
Let l(r) be the first derivative of 99 + 33/2*r**2 + 12*r**3 - 18*r - 15/4*r**4. Factor l(q).
-3*(q - 3)*(q + 1)*(5*q - 2)
Let i(h) be the second derivative of 187*h - 1/96*h**4 + 0 - 1/6*h**3 - 15/16*h**2. Determine l, given that i(l) = 0.
-5, -3
Let c(r) = -5*r**5 + 5*r**4 - 35*r**3 + 40*r**2 - 10*r + 5. Let i(k) = 3*k**5 - 4*k**4 + 34*k**3 - 40*k**2 + 11*k - 4. Let l(p) = 4*c(p) + 5*i(p). Factor l(u).
-5*u*(u - 1)**3*(u + 3)
Let u(g) be the first derivative of g**6/6 + 3*g**5/5 - 17*g**4/4 + 3*g**3 + 8*g**2 - 12*g + 2601. Solve u(q) = 0.
-6, -1, 1, 2
Suppose -3*r - r + 72 = 4*z, -3*z - 5*r = -62. Let g be ((-160)/(-70) + -1)/(12/z). Factor -3/2*h**2 + g*h**4 + 2*h**3 + 0 + 1/4*h**5 - 9/4*h.
h*(h - 1)*(h + 1)*(h + 3)**2/4
Let j(t) = -4*t**2 - 60*t + 252. Let y(w) be the second derivative of -w**4/2 - 59*w**3/6 + 251*w**2/2 + 19*w. Let c(x) = -5*j(x) + 4*y(x). Factor c(d).
-4*(d - 8)**2
Let d(t) be the second derivative of t**7/21 - 23*t**6/15 - 77*t**5/10 - 29*t**4/6 + 76*t**3/3 + 52*t**2 - 2123*t. What is v in d(v) = 0?
-2, -1, 1, 26
Let g = 805381/60 + -13423. Let u(d) be the second derivative of -1/6*d**2 - g*d**5 + 0 - 1/12*d**4 - 1/6*d**3 + 17*d. Factor u(i).
-(i + 1)**3/3
Factor 97*j - 152*j + 48*j**3 + 111*j - 23*j**4 + 27*j**4 + 112*j + 164*j**2.
4*j*(j + 2)*(j + 3)*(j + 7)
Let l(q) be the second derivative of -q**6/15 + 348*q**5/5 - 61244*q**4/3 + 160544*q**3 - 478864*q**2 - 2212*q. Factor l(o).
-2*(o - 346)**2*(o - 2)**2
Let p(k) = -29*k**2 - 580*k + 1124. Let n(w) = -54*w**2 - 1161*w + 2253. Let o(x) = -8*n(x) + 15*p(x). Solve o(q) = 0.
2, 194
Factor 3/5*n**2 - 54/5*n + 96/5.
3*(n - 16)*(n - 2)/5
Let p = 45069 - 226913/5. Let t = -311 - p. Factor t*y**3 + 1/5*y**5 + 4/5*y + 0 - 6/5*y**4 - 12/5*y**2.
y*(y - 2)**2*(y - 1)**2/5
Let f(r) be the second derivative of 25*r**7/84 - 29*r**6/60 - 21*r**5/40 + 29*r**4/24 - r**3/3 + 7558*r. Suppose f(i) = 0. What is i?
-1, 0, 4/25, 1
Let l(o) be the third derivative of 7/18*o**3 - 5/24*o**4 + 0 + 2/45*o**5 + o + 37*o**2. Factor l(c).
(c - 1)*(8*c - 7)/3
Let r = 41536 - 373820/9. Solve -2/3*x**3 + r*x + 0 + 10/9*x**2 = 0.
-1/3, 0, 2
Let b(g) be the first derivative of 2*g**3/33 - 50*g**2/11 - 432*g/11 - 511. Suppose b(t) = 0. What is t?
-4, 54
Let b be ((-2)/(-6))/(((-62502)/(-12))/(-11)). Let p = b - -25585/22728. Factor -3/8*j**3 - p - 3/8*j**2 + 15/8*j.
-3*(j - 1)**2*(j + 3)/8
Let a = -344 + 346. Suppose -1582*b**2 + 0 + 1583*b**a + 7*b + 0 = 0. Calculate b.
-7, 0
Suppose 6 = 3*o + 12. Let y be o*3/9*-3. What is s in 29*s**2 + 3*s**3 - s**y + 48*s - 4*s**2 = 0?
-4, 0
Let r(l) be the third derivative of -2/63*l**7 + 9*l**2 + 0*l**3 + 0 + 2*l - 28/45*l**5 - 4/9*l**4 - 11/45*l**6. Factor r(z).
-4*z*(z + 2)**2*(5*z + 2)/3
Let d = 567069/5 - 113407. Factor -2 + 18/5*n + 6/5*n**3 + d*n**2.
2*(n + 1)*(n + 5)*(3*n - 1)/5
Let r be (-110)/48*(186 - (-160648)/(-860)). What is d in -4/3 - 2*d + d**2 + r*d**3 + 1/2*d**4 = 0?
-2, -2/3, 1
Let i(o) be the first derivative of -o**3/18 - 2*o**2/3 + 51*o/2 - 2512. Factor i(u).
-(u - 9)*(u + 17)/6
Suppose 0 = 3*a + 15, 4*a = -2*s - 38 + 22. Factor -15/2 + 10*q - 5/2*q**s.
-5*(q - 3)*(q - 1)/2
Let q(z) be the first derivative of -4*z**4 - 358*z**3/9 + 319*z**2/3 - 84*z - 7679. Determine h so that q(h) = 0.
-9, 2/3, 7/8
Let s(n) be the first derivative of 4/5*n**4 - 8/15*n**3 - 117 + 2/5*n**5 + 0*n + 0*n**2. Solve s(f) = 0 for f.
-2, 0, 2/5
Factor -237/4*y**2 - 11*y**3 - 171/2*y - 1/4*y**4 + 0.
-y*(y + 3)**2*(y + 38)/4
Let y be 50/(-4)*50/(-500). Let t be (-10)/3*(-36)/48. Factor y*w**2 + t*w + 0.
5*w*(w + 2)/4
Let a(w) be the second derivative of -w**7/15120 - 7*w**6/4320 + w**5/90 - 19*w**4/3 + w**3/3 + 228*w. Let x(k) be the third derivative of a(k). Factor x(n).
-(n - 1)*(n + 8)/6
Let t(l) = 2*l**3 - 6*l**2 - 66*l - 122. Let o(i) be the first derivative of -i**3/3 + i + 12. Let w(y) = 4*o(y) - t(y). Factor w(a).
-2*(a - 7)*(a + 3)**2
Let g be -2*(-168)/(-48) - (-152)/6. Factor g*n**2 - 175/3*n + 125/3 - 5/3*n**3.
-5*(n - 5)**2*(n - 1)/3
Let u(k) be the second derivative of 0*k**3 - 6 - 1/5*k**5 - 8*k + 0*k**2 - 2/3*k**4 + 2/15*k**6. What is w in u(w) = 0?
-1, 0, 2
Let d(t) = -1987*t + 15898. Let r be d(8). Solve -8/9*h + 4/9*h**r - 4/3 = 0.
-1, 3
Let v(s) be the second derivative of -19/45*s**3 - 1/3*s**2 + 0 - 28*s + 2/45*s**4. What is r in v(r) = 0?
-1/4, 5
Let y(x) = 6*x**2 + 35*x + 15. Let v(u) = 17*u**2 + 107*u + 42. Let o(h) = -5*v(h) + 14*y(h). Solve o(a) = 0.
-45, 0
Let c(y) = 2*y + 27*y**2 - 19*y - 30*y**2 + 13 + y**3. Let k be c(6). Find m, given that -4*m**2 + 7*m + k - 13 + m - 10 = 0.
1
Let z(u) be the third derivative of -u**7/945 + 16*u**6/135 - 599*u**5/135 + 464*u**4/9 - 841*u**3/3 - 7*u**2 + 13. Factor z(m).
-2*(m - 29)**2*(m - 3)**2/9
Let q(n) be the first derivative of 6*n**5/5 + 142*n**4 - 1954*n**3/3 + 294*n**2 - 422. Factor q(b).
2*b*(b - 3)*(b + 98)*(3*b - 1)
Suppose 0 = a + 3 - 6. Let v be (-31 + 30)/((-66)/30 + 2). Factor 5903 - 3*b**v - 5903 + 6*b**a - 3*b.
-3*b*(b - 1)**2*(b + 1)**2
Suppose 12 = 337*m - 340*m. Let q(a) = -10*a**2 - 4*a - 2. Let o(i) = i**3 + 30*i**2 + 8*i + 7. Let p(s) = m*o(s) - 14*q(s). Factor p(y).
-4*y*(y - 6)*(y + 1)
Solve -417/8*k - 135/8*k**2 - 3/4*k**3 - 171/4 = 0 for k.
-19, -2, -3/2
Suppose 531*p**3 + 0 + 1/3*p**5 + 83/3*p**4 - 5375/3*p**2 + 3698/3*p = 0. What is p?
-43, 0, 1, 2
Find d such that -242/3*d + 16/3*d**2 + 2/3*d**3 + 224/3 = 0.
-16, 1, 7
Let p(c) be the second derivative of -2*c**7/7 - 34*c**6/15 - 3*c**5/5 + 11*c**4 - 20*c**3/3 - 2281*c. Solve p(d) = 0 for d.
-5, -2, 0, 1/3, 1
Let m(k) = 4*k**4 + 4*k**3 - 18*k**2 - 45*k - 25. Let t(u) = -3*u**4 - u**2 - u + 1. Let y(x) = -3*m(x) - 3*t(x). Factor y(q).
-3*(q - 4)*(q + 1)**2*(q + 6)
Let y(m) be the first derivative of m**6/15 - 1758*m**5/