 Let j be w(-7). Let y = -1359/28 - -345/7. Factor -j - y*n**2 - 9*n.
-3*(n + 6)**2/4
Let k(w) be the first derivative of -11/9*w**2 - 49 + 1/27*w**6 - 2/45*w**5 + 28/27*w**3 - 1/3*w**4 + 2/3*w. Factor k(a).
2*(a - 1)**4*(a + 3)/9
Let q(t) be the second derivative of 0*t**4 + 4 - 1/55*t**5 + 1/231*t**7 + 8*t + 0*t**2 + 0*t**6 + 1/33*t**3. Factor q(z).
2*z*(z - 1)**2*(z + 1)**2/11
Suppose -d + 25 = 2*q, -11 = -478*q + 477*q. Find r such that 1/7*r**4 - 9/7*r**2 - r + r**d + 8/7 = 0.
-8, -1, 1
Let k(s) be the third derivative of s**6/80 + s**5/30 - 755*s**4/48 + 187*s**3/3 + s**2 - 3255*s. Factor k(n).
(n - 1)*(n + 17)*(3*n - 44)/2
Let b(x) be the third derivative of x**5/120 - 107*x**4/12 + 3*x**2 + 104*x + 2. Determine l, given that b(l) = 0.
0, 428
Let m = -31 + 56. Suppose -m = -2*w + 11. Solve -w + 101*g + 8 - 4*g**2 - 77*g - 26 = 0.
3
Suppose -4*m + 41 - 25 = 0. Suppose 0*t - m*t = -5*h, t - 9 = -h. Suppose -64*v**3 - 73*v**3 - 4*v**5 - 8*v + h*v**2 + 149*v**3 - 4*v**4 = 0. Calculate v.
-2, -1, 0, 1
Let b(f) be the first derivative of 1/4*f**3 + 0*f - 3/20*f**5 - 5/16*f**4 + 1/2*f**2 + 1/24*f**6 + 158. Factor b(d).
d*(d - 4)*(d - 1)*(d + 1)**2/4
Let p = 397299 + -15492881/39. Let x = p - 136/3. Determine a, given that -2/13 - 2/13*a**2 - x*a = 0.
-1
Let n(d) be the first derivative of -4*d**5/5 + 1948*d**4 - 1267496*d**3 + 3790808*d**2 - 3786916*d - 1531. Factor n(g).
-4*(g - 973)**2*(g - 1)**2
Let d be (-4)/(-8) + 2*(-1386)/(-24). Suppose -3*n + 3*a - 95 = -d, 2*n = -2*a - 6. Factor -2*q**2 + 2/9*q - 2/9*q**3 + n.
-2*(q - 1)*(q + 1)*(q + 9)/9
Factor 2349/7*f**2 + 171/7*f**3 + 3/7*f**4 - 2523/7*f + 0.
3*f*(f - 1)*(f + 29)**2/7
Let t(j) = -6*j**3 + 72*j**2 - 796*j + 1304. Let p(x) = -7*x**3 + 71*x**2 - 797*x + 1306. Let f(c) = -4*p(c) + 5*t(c). Let f(u) = 0. What is u?
2, 18
Factor 3*a + 9*a**2 + 0 + 27/4*a**3.
3*a*(3*a + 2)**2/4
Let s(h) = 2*h + 25. Let z be s(-10). Let n be (3 - 1) + z + -4. Find k, given that -18*k**3 - n*k**4 - 5*k**4 + 12*k**2 + 16*k**4 - 2*k = 0.
0, 1/4, 1
Let 165*m + 4 + 15*m**3 + 176*m**2 - 16*m**3 + 70*m**2 + 64*m**3 - 22 = 0. Calculate m.
-3, -1, 2/21
Let v = -73 - -111. Let g = -36 + v. Suppose -100 + d**g - 6*d**2 + 60*d - 131 + 51 = 0. Calculate d.
6
Let i(l) be the first derivative of 5*l**3/18 - 1871*l**2/6 + 748*l/3 - 9754. Factor i(c).
(c - 748)*(5*c - 2)/6
Let g = 97 + -131. Let d = -29 - g. Let n(r) = -3*r**2 - 240*r - 972. Let x(z) = -z**2 - 96*z - 389. Let i(w) = d*n(w) - 12*x(w). Factor i(s).
-3*(s + 8)**2
Factor -52*u - 47*u + u**4 - 26*u**2 - 3*u**4 + 83*u - 11*u**3 + u**4.
-u*(u + 1)*(u + 2)*(u + 8)
Let k(o) = 17*o**2 - 1088*o - 100467. Let m(l) = 12*l**2 - 725*l - 66978. Let f(c) = 7*k(c) - 10*m(c). Factor f(p).
-(p + 183)**2
Factor 2434*j + 124*j**3 + 2543*j + 2*j**4 + 118*j**2 - 5221*j.
2*j*(j - 1)*(j + 2)*(j + 61)
Let t(a) be the first derivative of -3*a**5/20 - a**4/2 + 4*a**3 - 158*a + 13. Let b(o) be the first derivative of t(o). Solve b(x) = 0 for x.
-4, 0, 2
Let u(z) = z**3 + 9*z**2 - z + 4. Let t(j) = j**2 + j. Let a(m) = 4*t(m) - u(m). Let h be a(-6). Factor -2*v**3 - 2*v - 6*v**3 + 0*v**2 - 2*v**2 + 10*v**3 + h.
2*(v - 1)**2*(v + 1)
Let b(x) be the second derivative of -17/8*x**3 + 31*x + 1/16*x**4 + 0*x**2 + 0. Factor b(d).
3*d*(d - 17)/4
Let w(j) be the third derivative of -j**6/780 + 341*j**5/390 - 85*j**4/39 + j**2 - 23*j - 93. Solve w(p) = 0.
0, 1, 340
Let o(p) be the third derivative of -67335*p**6/32 + 67*p**5/4 - p**4/24 + 1080*p**2 - 1. Find r such that o(r) = 0.
0, 2/1005
Let w = -9282 - -18565/2. Let f(m) be the first derivative of 9 + 5/12*m**2 - 1/18*m**3 - 1/24*m**4 - w*m. Factor f(n).
-(n - 1)**2*(n + 3)/6
Let c(r) be the second derivative of -1/60*r**5 - r**2 + 1/6*r**4 + 0*r**3 - 4*r + 0. Let j(w) be the first derivative of c(w). Factor j(d).
-d*(d - 4)
Let y = 13 - -23. Find d such that -21*d**3 + 5*d**3 + 341*d - 337*d - 24 + y*d**2 = 0.
-3/4, 1, 2
Let v = -1505 - -1508. Let f(b) be the first derivative of 22 + 6*b + 3/5*b**5 - v*b**3 + 3/4*b**4 - 3/2*b**2. Factor f(l).
3*(l - 1)**2*(l + 1)*(l + 2)
Let v = 6/17395 + 34772/52185. Factor -8/15*w - 2/15*w**2 + v.
-2*(w - 1)*(w + 5)/15
Let g = -430 + 448. Let n be (-6)/g*48/(-88). Factor -10/11 + n*v**2 + 8/11*v.
2*(v - 1)*(v + 5)/11
Let p = -981020 + 8829196/9. Suppose 14/9*b**2 - p + 2/9*b**4 - 4/3*b + 4/3*b**3 = 0. What is b?
-4, -2, -1, 1
Let c(y) be the first derivative of y**5/120 - 17*y**4/24 + 289*y**3/12 + 47*y**2/2 + 33. Let b(f) be the second derivative of c(f). Factor b(a).
(a - 17)**2/2
Suppose 4*b + 4 - 64 = 0. Factor -3 + b*g**3 + 6*g**2 + 3 + 18*g**3.
3*g**2*(11*g + 2)
Suppose -112/3*t + 1/3*t**2 - 113/3 = 0. What is t?
-1, 113
Let p(n) be the first derivative of 2*n**5/5 + 79*n**4/6 + 1126*n**3/9 + 641*n**2/3 + 308*n/3 + 3822. Solve p(q) = 0 for q.
-14, -11, -1, -1/3
Let b(l) = 6*l + 12. Let w be b(-3). Let r be (7/70*-6)/(w/20). Factor 2/5*o + 0 + 1/5*o**r.
o*(o + 2)/5
Let l(x) be the second derivative of -x**7/14 + x**6/2 + 21*x**5/10 - 188*x. Suppose l(a) = 0. Calculate a.
-2, 0, 7
Factor -12*m - 28*m**2 + 7*m**3 + 5*m**4 + 88669 - 88669.
m*(m - 2)*(m + 3)*(5*m + 2)
Let j(n) be the second derivative of 0 + 0*n**3 - 1/30*n**6 - 1/15*n**4 - 43*n + 0*n**2 + 4/25*n**5 - 5/42*n**7. Factor j(g).
-g**2*(g + 1)*(5*g - 2)**2/5
Let x(z) be the second derivative of -5*z + 1/18*z**4 - 1/9*z**3 + 4 - 2*z**2. Factor x(j).
2*(j - 3)*(j + 2)/3
Let a(t) = 8*t**2 - 2892*t + 165. Let p(u) = -15*u**2 + 5785*u - 275. Let m(y) = 5*a(y) + 3*p(y). Factor m(n).
-5*n*(n - 579)
Let d(j) be the second derivative of -j**5/10 - 185*j**4/3 + 1492*j**3/3 - 1496*j**2 + 7364*j. Let d(y) = 0. What is y?
-374, 2
Let k = -550 - -569. What is l in 69*l + 115*l**2 + 9*l**3 + 8 + k*l - 6 - 40*l**2 + 26 = 0?
-7, -2/3
Suppose 141 = -647*o + 694*o. Let q(l) be the third derivative of -8/3*l**o + 0 - 40*l**2 + 0*l - 1/2*l**4 - 1/30*l**5. Factor q(n).
-2*(n + 2)*(n + 4)
Let p be -3*(69/27)/(2/(-12)). Let y = -43 + p. Factor -17*n + n**3 - 3 + 2*n**4 + y*n**3 + 1 + 13*n.
2*(n - 1)*(n + 1)**3
Let s(m) be the third derivative of -7*m**6/1800 - 103*m**5/600 + m**4/4 - 91*m**3/3 + 218*m**2. Let r(j) be the first derivative of s(j). Factor r(k).
-(k + 15)*(7*k - 2)/5
Suppose 508*v + 120 = 318*v + 250*v. Factor 74/7*h - 6/7*h**v - 24/7.
-2*(h - 12)*(3*h - 1)/7
Solve 46 + 141*q**2 + 27*q**3 + 37 + 189*q + 831*q**4 - 5 - 834*q**4 = 0 for q.
-2, -1, 13
Let v(k) be the first derivative of 2*k**5/25 - 33*k**4/10 - 212*k**3/15 - 72*k**2/5 + 24. Factor v(n).
2*n*(n - 36)*(n + 1)*(n + 2)/5
Let c(u) = -u**2 + 2. Let p(m) be the second derivative of -m**5/5 - m**4/6 + 16*m**3/3 - 6*m**2 + 42*m. Let f(w) = 6*c(w) + p(w). Solve f(r) = 0 for r.
-4, 0, 2
Let d(y) = -5*y**2 + 218*y - 1844 - 868 - 2*y**2 - 430. Let h(k) = 6*k**2 - 220*k + 3140. Let u(l) = -2*d(l) - 3*h(l). What is c in u(c) = 0?
28
Let x = 1 + 7. Suppose -5*c = -x*c + 12. Factor -12*m**4 + 4*m**2 + 0*m**3 + 4*m**3 + 9*m**c.
-m**2*(m - 2)*(3*m + 2)
Suppose 3598*z = 3633*z - 140. Let p(u) be the first derivative of u**4 + 8 - 2*u**2 - z*u + 4/3*u**3. Let p(c) = 0. What is c?
-1, 1
Let x(o) be the first derivative of -o**3/3 - 110*o**2 - 12100*o + 519. Let x(n) = 0. What is n?
-110
Factor 3/2 - 2*y + 1/4*y**4 - 17/8*y**2 + 1/8*y**3.
(y - 3)*(y + 2)**2*(2*y - 1)/8
Let u(r) = 9*r**4 - 231*r**3 + 667*r**2 - 669*r + 200. Let c(f) = 17*f**4 - 463*f**3 + 1336*f**2 - 1337*f + 405. Let o(d) = -4*c(d) + 7*u(d). Solve o(w) = 0.
1, 44
Let l(t) be the second derivative of -5*t**4/3 + 17*t**3/3 + t. Let o(c) = -4*c**2 + 7*c. Let d be (168/(-36))/(4/12). Let p(w) = d*o(w) + 3*l(w). Factor p(g).
-4*g*(g - 1)
Let g(v) = 4*v**4 - 57*v**3 - 375*v**2 + 1006*v - 166. Let d(h) = -h**4 - h**3 + 3*h - 5. Let k(j) = 6*d(j) - 3*g(j). What is s in k(s) = 0?
-6, 1/6, 2, 13
Suppose -5*z - 2*s = -22, s - 2 = -6*z + 5*z. Factor -z - 3/2*c**2 + 15/2*c.
-3*(c - 4)*(c - 1)/2
Let m(s) = -16*s - 270. Let w be m(-17). Find n, given that -192 - 29*n**w - n**3 + 0*n**3 - 34*n**2 - 840*n - 592 + 6*n**2 = 0.
-28, -1
Let c(b) be the third derivative of 0 + 3/40*b**4 + 3/100*b**5 + 1/200*b**6 + 1/10*b**3 + 0*b - 59*b**2. Suppose c(l) = 0. Calculate l.
-1
Let z(i) = 20*i**2 - 40*i. Let w be z(2). Factor 4/3*f**3 - f**2 + 0*f - 1/3*f**4 + w.
-f