-3 - 8/(-232)*0. Factor 2/5*d**g + 28/5 - 74/5*d - 22/5*d**3 + 66/5*d**2.
2*(d - 7)*(d - 2)*(d - 1)**2/5
Factor 59/5*q - 1/5*q**2 - 364/5.
-(q - 52)*(q - 7)/5
Determine r so that 1697 - 1661 + 23*r - 275*r + 665*r**3 - 61*r**3 - 13*r**4 - 19*r**4 + 284*r**2 - 64*r**5 = 0.
-3, -1, 1/4, 3
Suppose -71 - 26*i - 2*i**4 + 53*i**2 + 26*i**3 - 25 + 45*i**2 = 0. What is i?
-3, -1, 1, 16
Suppose 0 = -m - h + 9, 3*h + 8 - 20 = 0. Determine l, given that 3*l**4 - 15*l**m + l**5 - 2*l**3 + 13*l**5 = 0.
0, 1, 2
Let z(f) be the second derivative of 35/6*f**3 - 154*f + 0 + 1/4*f**5 + 10/3*f**4 + 0*f**2. Suppose z(x) = 0. Calculate x.
-7, -1, 0
Let x(y) be the second derivative of -y**5/100 + 7*y**4/40 - 85*y**2/2 - 38*y. Let p(g) be the first derivative of x(g). Suppose p(u) = 0. What is u?
0, 7
Determine p, given that 256 + 2/5*p**5 + 164/5*p**3 + 53/5*p**4 - 2683/5*p**2 + 1184/5*p = 0.
-16, -1/2, 1, 5
What is r in 21*r**2 + 16*r**2 - 104 - 35*r**2 - 48*r = 0?
-2, 26
Suppose -97*t - 24 = -100*t. Suppose 6*l + t*l = 84. Factor 4*z - z**3 - 2*z**3 - l*z**2 + 5*z**3.
2*z*(z - 2)*(z - 1)
Let f = -572767/14 - -286408/7. Determine y so that 0 + 1/2*y**5 - f*y**2 - 5*y + 7/2*y**4 + 9/2*y**3 = 0.
-5, -2, -1, 0, 1
Factor -71412*o - 804*o**2 - 365 - 3*o**4 - 171*o**3 + 70152*o - 259.
-3*(o + 1)*(o + 2)**2*(o + 52)
Let y(c) be the third derivative of 45*c**2 - 1/60*c**5 + 2/9*c**3 - 23/720*c**6 + 7/36*c**4 + 0 + 0*c - 1/180*c**7. Find f such that y(f) = 0.
-2, -2/7, 1
Factor -288/7 + 0*l + 2/7*l**3 + 26/7*l**2.
2*(l - 3)*(l + 4)*(l + 12)/7
Let o be (-8 + 2)*(-224)/126. Let f(v) be the first derivative of -o*v**3 - 13 + 81/5*v**5 + 45/4*v**4 + 2*v**2 + 0*v. What is t in f(t) = 0?
-1, 0, 2/9
Let b(w) = -19*w**2 + 816*w - 797. Let k(g) = 3*g**2 - 3. Let p(x) = -5*b(x) - 30*k(x). Factor p(z).
5*(z - 815)*(z - 1)
Let d = 1234 + -1736. Let u = d - -502. Factor -8/7*j + 8*j**2 + u - 14*j**3.
-2*j*(7*j - 2)**2/7
Let r be (-2790)/1760*8/(-28). Let o = -6/77 + r. Let 0*g + o - 3/8*g**2 = 0. Calculate g.
-1, 1
Suppose 4*j + 64 = 5*k, 604*j - 605*j - 76 = -5*k. Find h, given that 5/3*h**5 + 41/3*h**j + h**3 + 0 - 8/3*h - 41/3*h**2 = 0.
-8, -1, -1/5, 0, 1
Let c(t) = 41*t**3 + 128*t**2 + t - 154. Let y(n) = -14*n**3 - 43*n**2 + 51. Let b(i) = 3*c(i) + 8*y(i). Suppose b(d) = 0. Calculate d.
-3, -18/11, 1
Let q(y) be the third derivative of -y**5/48 + 125*y**4/24 + 396*y**2. Suppose q(h) = 0. What is h?
0, 100
Let t = 8726 + -8719. Let a(q) be the second derivative of 37*q + 1/72*q**3 + 0*q**4 + 0*q**6 - 1/120*q**5 + 0*q**2 + 1/504*q**t + 0. Solve a(j) = 0.
-1, 0, 1
Let g(q) be the second derivative of -2*q**4/3 - 38*q**3/3 + 20*q**2 - 1186*q. Factor g(i).
-4*(i + 10)*(2*i - 1)
Let i be -37 - 22320/(-560) - 6/7. Let 5/4*p**4 + 1/4*p**5 + i*p**3 + p**2 + 0 + 0*p = 0. What is p?
-2, -1, 0
Suppose -2*n + 31 = 3*v, -5*n + v = -3*n - 43. Determine m so that -80*m**4 - 28*m**4 - 79*m**2 - 14*m + 180*m**3 + 38*m - 37*m**2 + n*m**5 = 0.
0, 2/5, 1, 3
Let f be 90244/(-440) + 1/10 - 2. Let c be (-5)/f - (-44)/506. Suppose 2/3 - 7/9*v**2 + c*v**4 + 1/9*v - 1/9*v**3 = 0. What is v?
-2, -1, 1, 3
Let a(x) = -x**2 + 5*x - 2. Suppose 0 = -28*s + 73 + 39. Let i be a(s). Find u such that -1/2*u**i + 6*u - 18 = 0.
6
Let m(j) be the first derivative of 9*j**5/5 - 660*j**4 + 871*j**3/3 + 1174*j**2 - 1172*j + 3064. Determine v so that m(v) = 0.
-1, 2/3, 293
Suppose -188 = 17*a - 18. Let k(f) = f**3 + 2*f**2 - 5*f + 2. Let b(j) = j**3 - j**2 - j + 1. Let o(i) = a*b(i) + 5*k(i). Factor o(r).
-5*r*(r - 3)*(r - 1)
Let y = 62386 + -62384. Solve 2/17*k**y - 16/17*k + 32/17 = 0.
4
Find w, given that 23528*w - 23474*w - 2 - 75*w**3 + 87*w**2 + 2 - 15*w**4 - 51*w**3 = 0.
-9, -2/5, 0, 1
Let t(p) be the third derivative of -5/6*p**3 + 0 - 9/100*p**5 + 1/600*p**6 - 191*p**2 + 17/40*p**4 + 0*p. Factor t(g).
(g - 25)*(g - 1)**2/5
Let d(m) be the second derivative of 0*m**2 + 1/36*m**4 + 2/9*m**3 - 2 + 6*m. Let d(w) = 0. What is w?
-4, 0
Let w(i) = -18*i**2 - i + 1. Let b(c) = -38*c**2 + 250*c - 736. Let v(h) = b(h) - 2*w(h). Factor v(x).
-2*(x - 123)*(x - 3)
Let j(o) be the first derivative of 6/5*o**5 - 12*o - 26 - 1/2*o**6 - 21/2*o**2 + 2*o**3 + 6*o**4. Let j(x) = 0. What is x?
-1, 1, 4
Let k(m) = m + 1. Let f(i) = -4*i + 3 - 2 + 1 + 2. Let g be f(2). Let t(o) = 3*o**2 - 22*o + 11. Let y(u) = g*k(u) - t(u). Find b such that y(b) = 0.
1, 5
Solve 513/7*q**5 + 0 + 12/7*q - 75*q**3 - 60/7*q**4 + 60/7*q**2 = 0 for q.
-1, -2/19, 0, 2/9, 1
Factor -64*p**2 + 40*p**2 + 28*p**3 - 286*p**2 - 48*p**3 + 25*p**3 + 885*p.
5*p*(p - 59)*(p - 3)
Solve 518/3*a + 0 + 520/3*a**2 + 2/3*a**3 = 0 for a.
-259, -1, 0
Let c = -23 - -26. Suppose -v - 2*g = c*g - 13, 5*g - 4 = 2*v. Solve 5*j**4 + j**4 + 0*j**4 - v*j**4 - 3*j**2 = 0 for j.
-1, 0, 1
Let p(g) be the third derivative of g**7/1540 + g**6/396 + g**5/330 - 25*g**3 - 293*g**2. Let o(a) be the first derivative of p(a). Solve o(w) = 0 for w.
-1, -2/3, 0
Let c = -121200417607/3311 + 36605381. Let n = 8/301 - c. Factor -6/11*o + 2/11*o**3 + n*o**2 + 0.
2*o*(o - 1)*(o + 3)/11
Find h such that 76*h**2 - h**4 - 112*h - 691*h**3 - 3*h**4 + 683*h**3 + 48 = 0.
-6, 1, 2
Let v = 98699 + -98697. Solve -4*y**v + y**4 - 1 + 7/2*y - 1/2*y**5 + y**3 = 0.
-2, 1
Suppose 0 = 2*o - 8, -12516 = -4*b + 6*o - 10*o. Factor -q**3 - 1057*q - b + 5*q**3 - 1818*q + 8*q**2 - 9*q**3 + 237*q**2.
-5*(q - 25)**2*(q + 1)
Factor 853*c - 264*c + 25*c**2 + 8*c**2 + 200*c + 690.
3*(c + 23)*(11*c + 10)
Let a = -739 + 752. Suppose 156 = -a*j + 182. Solve 24/5*q - 3/5*q**j - 21/5 = 0.
1, 7
Suppose -6*b + 5*b = -2*a - 2, 0 = b + 5*a + 5. Solve -20*w + b*w**2 + 318 + 2*w**2 - 300 = 0 for w.
1, 9
Let x(m) be the first derivative of 1/2*m**2 - 3 + 0*m - 1/13*m**3 + 1/78*m**4 + 1/390*m**5. Let g(b) be the second derivative of x(b). Factor g(i).
2*(i - 1)*(i + 3)/13
Let g(i) be the first derivative of 5*i**8/1344 - i**7/56 + i**6/32 - i**5/48 - i**2 + 7*i + 67. Let r(k) be the second derivative of g(k). Factor r(s).
5*s**2*(s - 1)**3/4
Let t(d) = -10*d + 112. Let u be t(11). Factor -6*n**u + 30 + 369*n - 202*n + n**2 - 192*n.
-5*(n - 1)*(n + 6)
Let u(k) be the second derivative of -6*k**7/7 - 752*k**6/105 - 807*k**5/35 - 730*k**4/21 - 152*k**3/7 + 16*k**2/7 + 58*k - 7. Solve u(a) = 0.
-2, -1, 2/63
Let z(y) be the first derivative of y**8/84 + 2*y**7/105 + 10*y**2 + 63. Let k(j) be the second derivative of z(j). Factor k(o).
4*o**4*(o + 1)
Let x be (-43)/(860/56) + 4. Let g(q) be the first derivative of x*q + 1/5*q**3 - 18 - 9/10*q**2. Factor g(u).
3*(u - 2)*(u - 1)/5
Suppose 134*i**2 - 532*i**2 + 137*i**2 + 135*i**2 + 258*i - 792 + 128*i**2 = 0. Calculate i.
-132, 3
Let m(d) = 1 - 2 + 2 - 4*d + 3*d. Let v be m(-4). Solve 108*h - 108 + 25*h**2 + 16*h**2 - 28*h**4 + 31*h**2 - 4*h**v - 40*h**3 = 0 for h.
-3, 1
Let g(x) = -8*x**2 - 5*x + 6. Suppose 37*d - 51 = 20*d. Let o(p) = 7*p**2 + 6*p - 4. Let r(u) = d*o(u) + 2*g(u). Factor r(l).
l*(5*l + 8)
Let k = -2052 - -330375/161. Let l = k + 617/1449. What is a in -2/9*a**5 + 0 + 0*a**2 + 0*a + l*a**4 + 0*a**3 = 0?
0, 2
Let d = 1143361/180 - 6352. Let v(n) be the third derivative of -d*n**5 + 0*n + 1/36*n**4 - 9*n**2 + 0*n**3 + 0. Factor v(x).
-x*(x - 2)/3
Let w(l) be the third derivative of l**7/1050 - l**6/90 - l**5/150 + l**4/6 + 47*l**3/6 + 124*l**2. Let v(u) be the first derivative of w(u). Solve v(p) = 0.
-1, 1, 5
Let f(z) be the first derivative of 95*z**2 + 1805*z + 5/3*z**3 - 70. Factor f(v).
5*(v + 19)**2
Let a = 3407 + -17031/5. Let g(n) be the first derivative of 0*n + 4/3*n**3 + 4*n**2 - a*n**5 - 2*n**4 + 2. Find l such that g(l) = 0.
-2, -1, 0, 1
Let i = -342274 - -342278. Let 72/7*w**3 - 80/7*w**2 + 32/7*w + 4/7*w**5 - i*w**4 + 0 = 0. Calculate w.
0, 1, 2
Suppose -2*l + 10*v = 5*v + 5, -l + 5 = -v. Let q be (-17)/(-6) - 3 - (-26)/12. Find b, given that -59*b + 192*b + l - 78*b + 25*b**q = 0.
-2, -1/5
Let t(x) be the second derivative of -x**7/14 + x**6/2 + 207*x**5/20 + 171*x**4/4 + 54*x**3 - 963*x + 3. Determine n so that t(n) = 0.
-3, -1, 0, 12
Suppose 0 = 4*o - 2*o + 4*c - 78, 2*o = -c + 66. Factor 30*h + 49 + 0*h**2 - 6*h**2 + o + h**2.
-5*(h - 8)*(h + 2)
Let c(g) = -g**2 + 9*g - 1. Let o be c(9). Let i be (4 + (-66)/15)/(o/5). Suppose f**i + 0*f**2 + 76*f + 49 - 90*f = 