ctor 6/13*i + c - 4/13*i**2 - 2/13*i**3.
-2*i*(i - 1)*(i + 3)/13
Let b(k) be the first derivative of -3*k**4/2 - 11*k**3/3 - 2*k**2 + k - 1656. Factor b(a).
-(a + 1)**2*(6*a - 1)
Let r be 34/6 + (-3)/(-9) + -1. Suppose 10*y - 75 = r*y. Factor 0*p**3 - 12*p + 3*p + 3*p**3 - y + 9.
3*(p - 2)*(p + 1)**2
Let n(c) be the first derivative of c**4/16 - 3*c**3/4 + 27*c + 444. Factor n(z).
(z - 6)**2*(z + 3)/4
Suppose -44 = -4*g - 36. Suppose 0 = 4*k - 2*c - 20, 4*k - 29 = 3*c - 7. Factor -y + 2*y**g - k - 2 - 3*y + 0.
2*(y - 3)*(y + 1)
Let s(d) be the second derivative of 2*d**6/15 + 2*d**5/5 - 13*d**4/3 - 28*d**3/3 + 48*d**2 - d + 264. Let s(o) = 0. Calculate o.
-4, -2, 1, 3
Let n be (-335)/20 + -8 + 3. Let o = n + 641/28. Factor 4/7*k**3 - o*k**2 + 4/7*k + 0.
4*k*(k - 1)**2/7
Let o(a) be the second derivative of a**5/4 + 7*a**4/2 + 13*a**3/6 - 12*a**2 - 357*a + 1. What is r in o(r) = 0?
-8, -1, 3/5
Let f(j) be the first derivative of -j**4 + 1972*j**3 - 1458294*j**2 + 479292628*j + 42. Let f(z) = 0. Calculate z.
493
Let n = 4264/213 - -472/71. Factor n*h + 2/3*h**2 - 82/3.
2*(h - 1)*(h + 41)/3
Let o(x) be the first derivative of -61*x**6/9 - 59*x**5/5 + 35*x**4/6 + 20*x**3 + 26*x**2/3 - x - 14473. Solve o(d) = 0 for d.
-1, -1/2, 3/61, 1
Suppose 4*o = -w + 11, 7 = 5*o + 2*w - 6. Let l = 293/396 - -1/99. Find g such that -9/4*g**2 + l*g**o + 0*g + 0 = 0.
0, 3
Let u(y) be the second derivative of 2*y**7/63 - 2*y**6/45 - 2*y**5/5 + 4*y**4/9 + 16*y**3/9 - 379*y - 2. Determine b so that u(b) = 0.
-2, -1, 0, 2
Suppose -5*z + 5*s + 69 + 26 = 0, -z + 2*s + 36 = 0. Factor 0*y**z + 2/13*y**4 + 0*y - 4/13*y**3 + 0.
2*y**3*(y - 2)/13
Suppose -5*s + 9*c - 10 = 4*c, -10 = -s - 2*c. Suppose -5*z - 5 = -3*w + 2, 2*z = s. Factor 118*b**3 + 6*b**2 - 3*b**w - 118*b**3 - 3.
-3*(b - 1)**2*(b + 1)**2
Suppose 0 = 5*b - 70, 1538*f + 17 = 1543*f - 2*b. Let 9/7*w**2 - f*w**4 + 6/7*w + 0 - 60/7*w**3 = 0. Calculate w.
-1, -2/7, 0, 1/3
Find a, given that 2*a**4 - 1/3*a**5 + 5/3*a + 4 - 4/3*a**3 - 6*a**2 = 0.
-1, 1, 3, 4
Factor -1/5*i**4 + 18/5*i**3 + 60*i - 113/5*i**2 - 288/5.
-(i - 8)*(i - 4)*(i - 3)**2/5
Solve -44*h**2 - 24565 - 5*h**3 + 88*h**2 + 1445*h + 41*h**2 = 0 for h.
-17, 17
Suppose -5*v - 5 = 0, -c + 3*v + 31 = 25. Factor -2*s**4 + 58*s**c + 3*s**4 - 35*s**3 + 120*s**2 + 144*s - 46*s**3.
s*(s - 12)**2*(s + 1)
Let a be 6/(-105)*(-2100)/180. Let -2*c + a - 8/3*c**2 = 0. What is c?
-1, 1/4
Let b(x) = -4*x**2 + 2*x - 183. Let a(w) = -18*w**2 + 6*w - 729. Let i(l) = -6*a(l) + 26*b(l). Find r such that i(r) = 0.
-12, 8
Suppose 11920*s + 705 = 12061*s. Let -4/5 + 8/5*v**2 - 4/5*v**4 - 1/5*v**s + 2/5*v**3 - 1/5*v = 0. What is v?
-4, -1, 1
What is g in 312/5 - 3/5*g**4 + 1551/5*g**2 - 1402/5*g - 458/5*g**3 = 0?
-156, 1/3, 1, 2
Let b(g) = -g**3 + 11*g**2 - 99*g + 501. Let f be b(7). Let u(h) be the second derivative of 2/5*h**2 - 2 - 1/60*h**f + 46*h + 1/10*h**3. Factor u(o).
-(o - 4)*(o + 1)/5
Let w(v) be the first derivative of 3*v**3/2 + 105*v**2 - 141*v/2 - 389. Factor w(k).
3*(k + 47)*(3*k - 1)/2
Determine n, given that 62/5*n**3 + 0 - 102/5*n**2 + 8*n = 0.
0, 20/31, 1
Let g(k) = k - 20. Let i be g(22). Let 114*b**i + 148*b + 8*b**5 + 8*b + 24 - 20*b**5 - 123*b**3 - 21*b**5 - 138*b**4 = 0. What is b?
-2, -1, -2/11, 1
Find s, given that -310 + 59*s**3 - 615*s - 677*s**2 - 110*s**3 + 56*s**3 + 377*s**2 = 0.
-1, 62
Let b(p) be the second derivative of 1/80*p**5 + 0 + 0*p**3 + 46*p + 1/48*p**4 + 0*p**2 - 1/120*p**6 - 1/168*p**7. Factor b(q).
-q**2*(q - 1)*(q + 1)**2/4
Let d be -8*9/36 + (-149)/2. Let l = 1695/22 + d. Find h, given that 8/11*h**5 + 0 + 2/11*h - 10/11*h**3 + l*h**2 - 6/11*h**4 = 0.
-1, -1/4, 0, 1
Suppose 2*l - 114 = -l. Let n be 2425/388 + 5/(-4). Solve 25*x**3 - 2*x**4 + 5*x**5 - l*x**4 - 5*x**2 - 8*x**n + 23*x**5 = 0 for x.
0, 1/2, 1
Let s(x) be the third derivative of -465/16*x**4 - 1021/160*x**5 - 33 - 225/4*x**3 + 0*x + 2*x**2 - 1/560*x**7 - 31/160*x**6. Factor s(z).
-3*(z + 1)**2*(z + 30)**2/8
Let m = -9/560 - -1427/1680. Solve m*n**4 + 5/3*n**3 + 1/6*n**5 + 1/6 + 5/6*n + 5/3*n**2 = 0 for n.
-1
Let w be 15/12*(-43)/(10320/(-384)). Determine k so that -4*k**4 + 164/7*k**w - 48*k + 80/7 + 120/7*k**3 = 0.
-2, 2/7, 1, 5
Let t(o) be the third derivative of -o**5/105 + 895*o**4/21 - 1602050*o**3/21 - 1189*o**2. Let t(w) = 0. What is w?
895
Let d(q) be the second derivative of 9*q**6/80 - 57*q**5/160 - 7*q**4/32 + 19*q**3/16 - 3*q**2/8 - 2*q - 64. Solve d(a) = 0.
-1, 1/9, 1, 2
Let a be (-193 - -179)/((-8)/12*(-42)/(-8)). Determine f so that 21/8*f**3 + 0 + 45/4*f**2 + 0*f - 3/8*f**a = 0.
-3, 0, 10
Suppose 120 - 10 - 17 = 48*w - 3. Factor 2/13*g**w + 0*g - 72/13.
2*(g - 6)*(g + 6)/13
Let h(x) = -20*x**2 + 2070*x - 55776. Let b(v) = 41*v**2 - 4173*v + 111551. Let l(m) = 2*b(m) + 5*h(m). Factor l(p).
-2*(3*p - 167)**2
Let w be 9 - 8 - (-22)/8. Suppose -23*y = -2*t - 25*y + 16, -2*t = -3*y + 9. Factor -3/4*m**t - 3/2 - 3*m**2 - w*m.
-3*(m + 1)**2*(m + 2)/4
Let y(m) = -m**3 + m**2 - m + 45. Let h = 47 - 47. Let c be y(h). Let -3*j**5 + c*j**4 - 86*j**4 + 8*j**5 + 36*j**4 = 0. Calculate j.
0, 1
Let v(g) = g**3 + 30*g**2 + 78*g - 81. Let t be v(-27). Suppose 0 = 10*k + 25 - 75. Factor 0 + 8/19*b**2 + 2/19*b**k + t*b + 16/19*b**3 + 10/19*b**4.
2*b**2*(b + 1)*(b + 2)**2/19
Find m such that -1/3*m**5 - 13*m**4 + 9317/3 - 554/3*m**3 - 1815*m - 3278/3*m**2 = 0.
-11, -7, 1
Find q such that 60*q + 649 + 28*q - 72*q**2 + 4*q**3 + 32*q + 116*q - 817 = 0.
1, 3, 14
Let m(o) be the third derivative of -19/80*o**5 + 0 - 15/32*o**4 + 0*o + 65*o**2 - 1/4*o**3 - 3/80*o**6. Suppose m(r) = 0. Calculate r.
-2, -1, -1/6
Let v be (4 - -2)*(-18)/(-4). Suppose -4*k - 1 = c, -3*k = -2*c - 8*k + 1. What is z in 3*z**4 + 50*z**2 - 18*z**c - 14*z**2 - v*z + 3*z = 0?
0, 2
Let i(d) be the second derivative of 29*d - 1/150*d**6 - 2 + 37/100*d**5 + 2197/5*d**2 - 143/20*d**4 + 1183/30*d**3. Factor i(s).
-(s - 13)**3*(s + 2)/5
Suppose 36*w - 20 = 31*w. Suppose 10*g**3 - 26*g**3 + 3*g - 3*g - 4*g**w = 0. What is g?
-4, 0
Let x(q) = -13*q**2 - 22*q + 5. Let t(i) = 6*i**2 + 26*i - 6. Let b(r) = -3*t(r) - 2*x(r). Factor b(g).
2*(g - 4)*(4*g - 1)
Suppose -12*n + 36 = 4*x - 11*n, -3*x + 36 = 3*n. Let g be 8 - x/(-16)*-12. Factor 96/5*r + 2/5*r**3 + 128/5 + 24/5*r**g.
2*(r + 4)**3/5
Let i(r) be the second derivative of -37*r + 4/3*r**2 + 4/9*r**3 - 1/18*r**4 - 1/30*r**5 + 2. Determine m, given that i(m) = 0.
-2, -1, 2
Find x, given that 2/9*x**3 - 146/9*x - 74/9 - 70/9*x**2 = 0.
-1, 37
Let h = 1658668 + -1658666. Solve 1/5*u**h + 36/5 - 37/5*u = 0.
1, 36
Suppose 0 - 39*w**3 - 45/2*w**4 + 58/5*w**2 - 4/5*w = 0. What is w?
-2, 0, 2/15
Let v(s) be the second derivative of s**5/170 - 16*s**4/3 + 1085*s**3/51 - 542*s**2/17 + 1257*s + 1. Factor v(t).
2*(t - 542)*(t - 1)**2/17
Let y(b) be the second derivative of -1/4*b**4 - 3/20*b**5 + 1/2*b**3 - 137*b + 0 + 0*b**2 + 1/10*b**6. Suppose y(d) = 0. What is d?
-1, 0, 1
Factor -2/5*m**3 + 0 + 26/5*m**2 + 0*m.
-2*m**2*(m - 13)/5
Let j be 41190/(-5492)*2/(-4). Find a such that -9/2*a + 3/2*a**3 + j*a**2 - 3/4*a**4 + 0 = 0.
-2, 0, 1, 3
Let u(m) be the third derivative of m**7/630 + m**6/72 - m**5/30 + 2*m**2 - 39. Solve u(w) = 0 for w.
-6, 0, 1
Let f(g) be the third derivative of 1/450*g**6 - 1/180*g**4 + 2/9*g**3 + 6*g**2 + 2/315*g**7 - 13 - 2/45*g**5 + 0*g - 1/2520*g**8. Let f(a) = 0. Calculate a.
-1, 1, 10
Let v(l) = 70*l**5 - 135*l**4 - 625*l**3 + 320*l - 60. Let p(t) = t**4 - t**3 - 2*t**2 + 2*t - 2. Let x(a) = -10*p(a) - v(a). Find z, given that x(z) = 0.
-2, -1, 2/7, 1/2, 4
Let h(n) = n**3 - 27*n**2 - 94*n + 24. Let m(c) = 2*c**2 - 4*c - 3. Let a(b) = -3*h(b) - 24*m(b). What is p in a(p) = 0?
-7, 0, 18
Factor 14/3*j**2 + 4/3 + 2/9*j**4 - 38/9*j - 2*j**3.
2*(j - 6)*(j - 1)**3/9
Let h(j) be the second derivative of j**5/20 - 441*j**4/4 + 194481*j**3/2 - 85766121*j**2/2 + 827*j + 1. Let h(q) = 0. What is q?
441
Let i = 197 - 195. Determine q so that -4*q**i + 123*q + 80 + 128*q - 219*q = 0.
-2, 10
Let m(a) = a**2 + 26*a + 122. Let n be m(-20). Let w(y) be the first derivative of 10 + 1/6*y**3 + 1/2*y + 1/2*y**n. Determine u so that w(u) = 0.
-1
Let x be 20/(-18) - (2 - 4). Let u be 76/99 + 9*(2 + 748/(-363)). Factor x*k**3 + u*k - 10/9*k**2 + 0.
2*k*(k - 1)*(4*k -