Factor 2450/11 + r*j**2 - 140/11*j.
2*(j - 35)**2/11
Let z = 1272 - 582. Solve -32 - z*a - 16*a**2 + 714*a + 12*a**2 = 0 for a.
2, 4
Suppose -5*p = -2*l - 100, 4*p - p + 4*l = 34. Suppose -7*x - 4 = -p. Factor 0 - 8/3*g - 10/3*g**x - 2/3*g**3.
-2*g*(g + 1)*(g + 4)/3
Suppose 100*h - 135*h + 33*h = -4. Suppose -8/5 - 2*o - 2/5*o**h = 0. What is o?
-4, -1
Let p(y) = y**2 - 1504*y - 66518. Let m be p(-43). Suppose 81920/11*d**2 + 2097152/11 + 5120/11*d**m + 655360/11*d + 160/11*d**4 + 2/11*d**5 = 0. Calculate d.
-16
Let t = -1132661/11 - -102979. Suppose -10/11 + 50/11*c**4 + t*c - 328/11*c**2 + 180/11*c**3 = 0. What is c?
-5, 1/5, 1
Let q be (-32)/(-12)*(-9)/(-12). Suppose 3 - 3 - 18*i + 3*i**q + 24 = 0. What is i?
2, 4
Let l be -1*88/(-55)*(-12)/(-32). Factor 3*c - 9/5 - l*c**2 - 3/5*c**3.
-3*(c - 1)**2*(c + 3)/5
Let s(y) be the first derivative of 2*y**3/27 - 32*y**2 + 4380. Factor s(l).
2*l*(l - 288)/9
Let d(x) be the first derivative of -x**6/4 - 21*x**5/5 - 219*x**4/8 - 84*x**3 - 108*x**2 + 7384. Factor d(k).
-3*k*(k + 3)**2*(k + 4)**2/2
Let j = -387444/5 + 77489. Factor -2/5 + 3/5*s - j*s**2.
-(s - 2)*(s - 1)/5
Let j = 44 - 53. Let c be 1/3 - 15/j. Let 2*h - 21*h**2 + 2*h**4 + 13*h**c + 10*h**2 - 4*h**4 - 2*h**3 = 0. What is h?
-1, 0, 1
Let i be 96/432 - 1918/(-63) - 6. Factor -1/3*a**5 - 10/3*a**4 - 13*a**3 - i*a**2 - 8 - 68/3*a.
-(a + 1)*(a + 2)**3*(a + 3)/3
Let s(n) = n**2 + 1. Let k(x) = -x**4 + x**3 + 6*x**2 - 5*x + 5. Suppose 0 = 1146*t - 1144*t + 4. Let j(z) = t*k(z) + 6*s(z). Determine u, given that j(u) = 0.
-2, 1
Let o(s) be the second derivative of 10*s**7/21 - 12*s**6/5 - 143*s**5/5 + 116*s**4/3 + 232*s**3 + 224*s**2 + 2*s - 1874. Solve o(w) = 0.
-4, -1, -2/5, 2, 7
Let k = 5433/2 + -2716. Let h(s) be the first derivative of 5/6*s**3 + 5/18*s**6 + 5/6*s**2 - 5/6*s**4 + 0*s - k*s**5 + 13. Let h(g) = 0. What is g?
-1, -1/2, 0, 1, 2
Let z(h) = 4*h - 9. Let u(x) = -4*x**3 - 412*x**2 + 376*x + 90. Let f(b) = u(b) + 10*z(b). Factor f(n).
-4*n*(n - 1)*(n + 104)
Let j(i) be the third derivative of i**7/210 - 4*i**6/15 + 47*i**5/20 - 27*i**4/4 + i**2 - 323*i. Factor j(z).
z*(z - 27)*(z - 3)*(z - 2)
Let y(s) be the third derivative of -1/4*s**3 - 1/192*s**4 - 5*s**2 + 0 + 1/480*s**5 + 8*s. Let y(a) = 0. Calculate a.
-3, 4
Let n be 2/(-11) + (3328/(-88) - -2). Let m be (n/(-81))/((-12)/(-54)). Let -2/5 - 1/5*h**3 + 2/5*h**m + 1/5*h = 0. What is h?
-1, 1, 2
Let v be (-64)/544 + 5946/1122 + -5. Factor -v*u**4 - 6/11*u**3 + 0 + 0*u + 0*u**2.
-2*u**3*(u + 3)/11
Let s(f) = -2*f**5 + 61*f**4 + 47*f**3 - 34*f**2 + 6*f. Let n(r) = -3*r**4 + r**3 + r**2 + r. Let q(x) = 6*n(x) - s(x). Let q(g) = 0. Calculate g.
-1, 0, 1/2, 40
Let y(s) be the second derivative of -184/9*s**3 + 185*s + 0 - 4/15*s**5 + 40/3*s**2 + 49/9*s**4. Find t, given that y(t) = 0.
1/4, 2, 10
Let a(i) be the first derivative of -54 + 9/20*i**4 - 1/30*i**6 + 2/25*i**5 - 2/15*i**3 + 0*i - 4/5*i**2. Solve a(j) = 0 for j.
-2, -1, 0, 1, 4
Let o = -2488 - -2493. Let n(h) be the second derivative of 4/3*h**3 - o*h**2 + 1/6*h**4 + 19*h + 0. Let n(r) = 0. What is r?
-5, 1
Let -5/2*g**3 - 1300 + 1290*g - 315*g**2 = 0. What is g?
-130, 2
Let f = -44 + 47. Suppose -2*t = 0, 2*o - 8 = -0*o + f*t. Factor 3*w**2 - 9*w**5 - 6*w**o + w**4 + 26*w**4 - 14*w**3 - w**3.
-3*w**2*(w - 1)**2*(3*w - 1)
Let g(o) = 8*o**4 + 240*o**3 - 219*o**2 + 51*o - 4. Let s(j) = 9*j**4 + 242*j**3 - 215*j**2 + 49*j - 5. Let d(b) = 5*g(b) - 4*s(b). Let d(c) = 0. Calculate c.
-59, 0, 1/2
Let r(o) = -3972*o**2 + 1171*o + 1989*o**2 - 22 + 1985*o**2. Let w(d) = 234*d - 4. Let k(c) = 2*r(c) - 11*w(c). Suppose k(p) = 0. Calculate p.
0, 58
Suppose -2*q + 0 = 5*s - 15, s + 3*q = 3. Find c such that 388*c**2 + 161*c**3 - 85*c**s + 180*c - 403 - 245 + 4*c**4 = 0.
-9, -2, 1
Let h = -311 - -170. Let f = h - -145. Find z such that -32/3 - 28/3*z**3 - 80/3*z - 24*z**2 - 4/3*z**f = 0.
-2, -1
Factor 123/2*r**3 + 9/4*r**4 + 0 + 79*r**2 + 26*r.
r*(r + 26)*(3*r + 2)**2/4
Find d, given that -250*d**5 - 12775/2*d**4 + 27040 - 104855/2*d**3 - 69160*d - 142490*d**2 = 0.
-52/5, -4, -1, 1/4
Let g = 636 - 634. Let w(v) be the second derivative of 7*v + 0 - 8/17*v**g + 3/17*v**3 - 1/102*v**4. Factor w(h).
-2*(h - 8)*(h - 1)/17
Factor 0*f**3 + 0 - 2/3*f**4 + 2/3*f**2 + 0*f.
-2*f**2*(f - 1)*(f + 1)/3
Let j(q) = 6*q**2 + 32*q - 30. Let t(r) = -r**2 - 2*r - 1. Suppose 0 = -3*s + 3*g - 9, s + 5*g = 10 - 1. Let i(h) = s*j(h) - 2*t(h). Factor i(k).
-4*(k - 1)*(k + 8)
Let t(i) be the second derivative of 1/12*i**4 - 1/10*i**3 + 3 - 14*i - 1/50*i**5 + 0*i**2. Factor t(f).
-f*(f - 1)*(2*f - 3)/5
Determine b so that -1762*b - 42679 + 2619*b - 10366 + 3263*b - 80*b**2 = 0.
103/4
Let q = -388 - -391. Factor -i**3 - 12*i**2 - q*i - 7*i**2 + 11*i**2 + 12*i.
-i*(i - 1)*(i + 9)
Let x(b) be the first derivative of 0*b - 1/24*b**6 - b**2 - 7/20*b**5 - 149 - 9/8*b**4 - 5/3*b**3. Suppose x(j) = 0. Calculate j.
-2, -1, 0
Let h(a) be the second derivative of 3*a**4/5 + 92*a**3/5 + 1058*a**2/5 + 615*a - 2. Suppose h(s) = 0. Calculate s.
-23/3
Suppose 5*q - 29*a + 34*a = 20, 3*q + 5*a - 14 = 0. Let u(w) be the second derivative of 4/3*w**2 - 1/30*w**5 - 2/9*w**4 + 0 - 8*w + 1/9*w**q. Factor u(v).
-2*(v - 1)*(v + 1)*(v + 4)/3
Let i = 3442914/301255 + 2/2108785. Factor -48/7 + 4/7*g**4 + i*g - 12/7*g**2 - 24/7*g**3.
4*(g - 6)*(g - 1)**2*(g + 2)/7
Let y(d) be the second derivative of 5*d**2 - 18*d + 5/6*d**4 - 20/3*d**3 + 0 - 1/24*d**6 + 1/6*d**5. Let q(j) be the first derivative of y(j). Factor q(p).
-5*(p - 2)**2*(p + 2)
Let c(q) be the second derivative of -q**4/28 + 701*q**3/14 + 1053*q**2/7 + 8*q - 152. Let c(n) = 0. What is n?
-1, 702
Let r(q) = -q**3 + q**2 - 2. Let p(y) = -6*y**3 - 29*y**2 - 55*y - 32. Suppose -175*a + 181*a + 6 = 0. Let t(h) = a*p(h) + r(h). Solve t(v) = 0.
-3, -2, -1
Let q(f) be the third derivative of f**5/240 + 169*f**4/24 + 225*f**3/8 + f**2 - 432. Let q(p) = 0. What is p?
-675, -1
Let s(i) be the second derivative of -i**4/54 - 2*i**3/9 - i**2 + 86*i. Let s(b) = 0. Calculate b.
-3
Suppose -3*y - 45 = y - 53. Let u(g) be the third derivative of 6*g**y - 1/24*g**6 + 20/3*g**3 + 1/2*g**5 - 5/2*g**4 + 0 + 0*g. Determine a so that u(a) = 0.
2
Let t(l) = l**2 - 19*l + 80. Let d be t(13). Find b, given that 72 - 4*b**2 + 2*b - b**2 + b**d + 16*b + 2*b**2 = 0.
-3, 12
Let n(r) be the third derivative of -r**6/60 - 113*r**5/10 + 256*r**4/3 - 228*r**3 - 44*r**2 + 45. Factor n(l).
-2*(l - 2)*(l - 1)*(l + 342)
Let c be -3*9360/27 - 1/1. Let i be -6 + c/(-120) + 20/(-25). Let 3/2*g**2 + 3/8 + i*g = 0. What is g?
-1, -1/4
Let f(g) = g**2 + 2*g + 2. Let h be f(0). Let l(k) = -h + 5*k**2 + 6 - 17 + 10*k. Let n(r) = -1. Let p(a) = -l(a) - 2*n(a). Factor p(j).
-5*(j - 1)*(j + 3)
Let d(f) be the first derivative of -5*f**4/4 - 230*f**3/3 - 225*f**2/2 + 874. Find b such that d(b) = 0.
-45, -1, 0
Let c(b) be the first derivative of -b**5/5 + 57*b - 61. Let h(k) be the first derivative of c(k). Factor h(z).
-4*z**3
Suppose 183165 + 197*f - 92153 - 3241*f + 4*f**2 - 84940 = 0. Calculate f.
2, 759
Let o(h) be the second derivative of 0*h**2 + 17/60*h**4 - 148*h - 4/15*h**3 + 0 + 1/150*h**6 - 1/10*h**5. Suppose o(w) = 0. Calculate w.
0, 1, 8
Let u(x) be the third derivative of -x**6/24 + 7*x**5/6 - 245*x**4/24 + 9*x**2 + 32. Factor u(m).
-5*m*(m - 7)**2
Let n(a) be the third derivative of a**5/60 - a**4/24 - 3*a**3/2 + 8*a**2. Let k be n(4). Solve v + 5*v**2 + v - 4*v - k*v = 0.
0, 1
Let s(o) be the second derivative of o**7/126 - o**6/5 - 31*o**5/60 + 50*o**4/9 + 86*o**3/3 + 152*o**2/3 - 10101*o. Suppose s(x) = 0. What is x?
-2, -1, 4, 19
Let k(v) be the first derivative of 1/2*v**2 - 5/6*v**3 + 1/24*v**6 + 2*v - 47 - 5/16*v**4 + 1/10*v**5. Suppose k(p) = 0. What is p?
-2, -1, 1, 2
Solve 2/3*t**2 + 56*t + 1176 = 0.
-42
Let t(o) be the third derivative of o**7/35 - 13*o**6/40 - 17*o**5/20 + 145*o**4/8 + 75*o**3/2 - 1637*o**2. Factor t(m).
3*(m - 5)**2*(m + 3)*(2*m + 1)
Let y(z) be the second derivative of z**7/672 + z**6/48 + 3*z**5/32 + 5*z**4/24 - 15*z**3 + z - 25. Let m(c) be the second derivative of y(c). Factor m(j).
5*(j + 1)**2*(j + 4)/4
Let p be (7 - (-136)/(-8)) + (432/28 - 5). Factor -60/7*o - 48/7 - 24/7*o**2 - p*o**3.
-3*(o + 2)**2*(o + 4)/7
Factor -6*i**