b.
-43, -2
Suppose -3*b = -1 - 5. Let f(h) = -h**2 + h. Let r(d) = -7 + 12*d**2 + 11 - 3*d + 7 + 5. Let a(n) = b*r(n) + 22*f(n). Factor a(y).
2*(y + 4)**2
Let u be -26 + 66 - (0 + 2 + -3). Let n be 320/38 + -49 + u. Solve -n - 2/19*t**2 - 8/19*t = 0.
-2
Suppose 4/9*a + 2/3 + 2/9*a**4 - 8/9*a**2 - 4/9*a**3 = 0. What is a?
-1, 1, 3
Let a(k) be the first derivative of 1/12*k**3 + 0*k - 9/8*k**2 - 44. Factor a(p).
p*(p - 9)/4
Let b be 352/308*252/96. Solve b - 9/4*q**3 + 39/4*q**2 - 10*q = 0.
2/3, 3
Determine x so that -117*x**2 + 7367654 + 48375314 + 464*x**2 - 2*x**3 + 799*x**2 - 437772*x + x**3 = 0.
382
Let q(f) be the third derivative of -2*f**7/105 + 17*f**6/30 - 27*f**5/5 + 7*f**4/6 + 980*f**3/3 + 951*f**2. Let q(p) = 0. Calculate p.
-2, 5, 7
Let f(m) = -407 + m**2 + 2*m**3 - m**4 + 406 - m + 0*m**2. Let y(c) = -10*c**3 + 5*c + 5. Let z(i) = -5*f(i) - y(i). Suppose z(q) = 0. Calculate q.
-1, 0, 1
Let o be -8 + 6 + -3 + 133. Factor 20 - o - 183 - w**2 - 438 + 54*w.
-(w - 27)**2
Let x = 177 + -163. Let w be 128/220 + x/(-35). Factor 6/11 + w*m**2 + 8/11*m.
2*(m + 1)*(m + 3)/11
Let x(n) = 5*n**2 + 111*n + 21. Let c be x(-22). Let h be (8 + c)*(-68)/(-714). Factor 2*g + 0 + h*g**2.
2*g*(g + 3)/3
Let s(u) be the second derivative of u**5/80 - 13*u**4/48 - 10*u**3/3 + 51*u**2/2 - 164*u - 3. What is x in s(x) = 0?
-6, 2, 17
Let o = 6159947/4 - 1539986. What is f in f - o - 1/4*f**2 = 0?
1, 3
Factor -13/4*m**3 + 237/4*m + 45/4 + 179/4*m**2.
-(m - 15)*(m + 1)*(13*m + 3)/4
Let k(v) = -8*v**4 + 494*v**3 - 1758*v**2 + 2032*v - 696. Let z(s) = s**2 + 3*s. Let w(x) = k(x) - 16*z(x). Find g, given that w(g) = 0.
3/4, 1, 2, 58
Let p(l) = 2*l**4 - l**3 - 2*l**2 + 1. Let k(j) = 2*j**5 + 14*j**4 - 16*j**3 + 82*j**2 - 168*j + 86. Let t(b) = -k(b) + 14*p(b). Solve t(c) = 0.
-3, 1, 2, 6
Let d = 3340/11 + -42628/143. Let n = d - 465/91. Factor -n - 6/7*m - 3/7*m**2.
-3*(m + 1)**2/7
Let p(u) be the third derivative of 173*u**2 - 5/66*u**4 + 1/66*u**6 - 1/3*u**3 + 1 + 2/55*u**5 + 0*u - 1/1155*u**7. Solve p(w) = 0 for w.
-1, 1, 11
Suppose -5936 = 3*r - 5942. Let o(n) be the third derivative of 0 + 1/9*n**3 + 0*n + 1/360*n**5 + 1/36*n**4 + 8*n**r. Find i such that o(i) = 0.
-2
Factor 4714*i**2 - 347*i - 4737*i**2 + 33 - 63.
-(i + 15)*(23*i + 2)
Determine n so that -14*n**2 + 4*n**4 + 14607*n + 14615*n + 3*n**3 - 29214*n - n**5 = 0.
-2, 0, 1, 4
Let c(n) be the second derivative of -1/4*n**4 + 2*n**3 + 2*n + 7 - 6*n**2. Suppose c(y) = 0. Calculate y.
2
Factor 72/7*i + 405/7 + 3/7*i**2.
3*(i + 9)*(i + 15)/7
Factor 324*w + 0 - 87*w**2 + 3/2*w**3.
3*w*(w - 54)*(w - 4)/2
Let n(h) be the second derivative of h**4/20 + 85*h**3/2 + 1269*h**2/5 + 2164*h - 1. Factor n(b).
3*(b + 2)*(b + 423)/5
Let a(s) be the first derivative of -16*s**4 - 114 + 4/5*s**5 - 480*s**2 + 900*s + 376/3*s**3. Find c, given that a(c) = 0.
3, 5
Let q be 12/2 + (3 - 6 - -1). Suppose -q*w + 108 = 12. Let w*i**5 + 144*i**2 + 21*i**5 + 80*i + 220*i**4 + 196*i**2 + 500*i**3 + 65*i**4 = 0. What is i?
-4, -1, -2/3, 0
Let g(h) = h**2 + h + 2. Let p(s) = -5*s**2 + 2257*s + 3*s**2 - 12 - 2265*s. Let x(c) = -5*g(c) - 5*p(c). Find a, given that x(a) = 0.
-5, -2
Let b be 64/(-176) + (-28)/(-77). Let u be b/(8 + -9 + 3). Let -2/15*v**2 + u + 2/5*v = 0. Calculate v.
0, 3
Let m(w) = -2 - 507*w**2 - 9*w**3 + 507*w**2 - 2*w. Let d be m(-1). Factor -3*o**3 - 1 - 18*o**2 - d - 36*o - 14.
-3*(o + 2)**3
Let i = 4635 + -4632. Let s(v) be the second derivative of 1/20*v**5 - 28*v + 1/24*v**4 + 0*v**i + 1/60*v**6 + 0 + 0*v**2. Let s(t) = 0. Calculate t.
-1, 0
Let r(x) = -2*x**3 - x + 1. Let b(v) = -v**4 - 23*v**3 - 7*v**2 + 2*v + 15. Let s(y) = 2*b(y) - 14*r(y). Factor s(n).
-2*(n - 1)*(n + 1)**2*(n + 8)
Let p(w) = w**2 - 4*w - 71. Let o be p(-7). Let i be o + 42*(-6)/45. Find t, given that 24/5*t - i*t**4 - 26/5*t**2 + 12/5*t**3 - 8/5 = 0.
1, 2
Let s(o) be the third derivative of o**7/11340 + o**6/54 + 5*o**5/3 - 9*o**4/8 + o**3/3 + o**2. Let i(g) be the second derivative of s(g). Factor i(f).
2*(f + 30)**2/9
Let s be 396*27/(-540)*2/(48/(-10)). Determine y so that s*y - 3/8*y**3 - 15/8*y**2 - 6 = 0.
-8, 1, 2
Let z(o) be the third derivative of -o**6/40 + 79*o**5/20 + 10*o**4 + 974*o**2. Determine d, given that z(d) = 0.
-1, 0, 80
Suppose 0 = -6*c + 9 + 3. Let k be c*9/(-24)*-4. Let -k*y**2 + 32*y**3 - 5*y**2 - 26*y**3 + 2*y**4 = 0. What is y?
-4, 0, 1
Let l(d) = 6*d**2 - 521*d + 435. Let g be l(86). Find s, given that -3/2*s**g - 18*s - 3*s**2 + 21/2*s**3 + 0*s**4 + 12 = 0.
-2, 1, 2
Let j(k) = 3*k**2 - 146*k - 4941. Let m be j(-23). Let 12*l**3 + 20/3*l**m + 28/3*l**2 + 4/3*l**5 + 8/3*l + 0 = 0. What is l?
-2, -1, 0
Let n(t) be the first derivative of -t**6/40 + 3*t**5/10 + 7*t**4/8 - 7*t**2 - 2*t - 18. Let v(k) be the second derivative of n(k). Factor v(i).
-3*i*(i - 7)*(i + 1)
Let x(m) be the first derivative of 3/8*m**3 - 3/32*m**4 + 0*m + 0*m**2 - 30. Factor x(y).
-3*y**2*(y - 3)/8
Let v(q) be the first derivative of -1/60*q**5 + 5 - 3/2*q**3 + 0*q + 1/4*q**4 - 11/2*q**2. Let d(r) be the second derivative of v(r). Factor d(a).
-(a - 3)**2
Let k(x) = x**3 + 2*x**2 + 3*x + 1. Let l(c) = -13*c**3 - 86*c**2 - 203*c - 121. Let a(n) = 9*k(n) + l(n). Factor a(j).
-4*(j + 1)*(j + 2)*(j + 14)
Let i(a) be the third derivative of a**8/42 + 121*a**7/105 + a**6/2 - 930*a**2 + 1. Suppose i(w) = 0. Calculate w.
-30, -1/4, 0
Suppose -3*b = 32 - 50. Let u be (-39)/(-9) - b/(-9). Factor -p**2 + 7*p**2 + 10*p - u*p**3 - p**2.
-5*p*(p - 2)*(p + 1)
Let o(s) be the third derivative of s**6/24 - 17*s**5 + 1015*s**4/24 - 934*s**2. Let o(i) = 0. What is i?
0, 1, 203
Let f(w) be the second derivative of -w**7/1680 - 7*w**6/540 - 7*w**5/720 + w**4/8 - 36*w**3 - 2*w - 73. Let v(g) be the second derivative of f(g). Factor v(c).
-(c + 1)*(c + 9)*(3*c - 2)/6
Let w be (-84)/189 + (-92)/(-23). Suppose 0 - 16/9*y**2 + w*y + 2/9*y**3 = 0. What is y?
0, 4
Solve -46/3*v**4 - 218/3*v**2 - 77/3*v + 2 - 181/3*v**3 = 0.
-2, -1, 3/46
Let t = 188204 - 188202. Find w, given that -294 - 1/6*w**t - 14*w = 0.
-42
Let t(r) = r**2 + 6. Let o be t(8). Suppose -2*c = i - 1, -c + 2*c - 5*i = -5. Factor -29*h**3 + c*h**5 - 32*h**3 + o*h**3 - 3*h**5 - 6*h**2.
-3*h**2*(h - 1)**2*(h + 2)
Let c(a) be the second derivative of -a**7/210 + 3*a**6/50 - 6*a**5/25 + 4*a**4/15 + 343*a + 2. Let c(v) = 0. Calculate v.
0, 1, 4
Factor -5*d**2 + 185*d + 9944 - 18327 + 9923.
-5*(d - 44)*(d + 7)
Suppose -250 = 28*t + 254. Let m be 16/t*(28/8 - 5). Solve 0*k + m*k**2 - 1/3*k**4 + 0 + 0*k**3 = 0.
-2, 0, 2
Let v(a) be the first derivative of -a**4/24 + 13*a**3/9 - 23*a**2/12 - 25*a/3 - 1529. Determine t so that v(t) = 0.
-1, 2, 25
Suppose -i + 38 = -2*b, 0 = -28*i - 4*b - 1138 + 1122. Suppose 256/3*z**3 - 2/9*z**4 - 12288*z**i - 18874368 + 786432*z = 0. Calculate z.
96
Let g(s) = -17*s + 31. Let l be g(7). Let y be (96/40)/(l/(-20)). Let 6/11*k + 2/11 + 2/11*k**3 + y*k**2 = 0. Calculate k.
-1
Suppose 6*k - 50 = k. Suppose 44 = k*u + u. What is m in -6*m**3 + 7*m**u - 6*m**3 + 0*m**4 - m**5 - 3*m + 10*m**2 - m**4 = 0?
0, 1, 3
Factor -112/3 + 185/6*f + 1/6*f**3 + 19/3*f**2.
(f - 1)*(f + 7)*(f + 32)/6
Let z(a) be the second derivative of a**4/150 - 7*a**3/25 - 162*a**2/25 + 2*a + 48. Solve z(i) = 0 for i.
-6, 27
Let y(t) be the first derivative of -t**5/390 + t**4/39 - 4*t**3/39 + 16*t**2 + 2*t + 75. Let w(u) be the second derivative of y(u). Factor w(v).
-2*(v - 2)**2/13
Let r(q) = q**3 + 11*q**2 + 6*q - 20. Let l be r(-10). Factor 16*x + 27*x - 3*x**3 + 36*x**2 - 61*x - l*x - 70*x.
-3*x*(x - 6)**2
Let t be (-66)/(-27) - 13505/(-24309). What is r in -4/5 + r**2 - 4/5*r + r**t - 1/5*r**5 - 1/5*r**4 = 0?
-2, -1, 1, 2
Let f be 3*(-13)/(-78)*3*4/3. Factor -2/5*y**3 - 16/5*y**f + 0 - 32/5*y.
-2*y*(y + 4)**2/5
Let v = 2/210883 + -10333643/39646004. Let d = v + 24/47. Factor 3/2*z**3 + 2*z + d*z**4 + 0 + 3*z**2.
z*(z + 2)**3/4
Let x(c) be the first derivative of 2*c**3/9 + 499*c**2/3 - 1000*c/3 + 1456. Factor x(t).
2*(t - 1)*(t + 500)/3
Let a(d) = -4*d**3 + 33*d**2 + 122*d - 9. Let t be a(11). Suppose 0 = 3*g + g - 24. Factor -9/2*v + g - 3/2*v**t.
-3*(v - 1)*(v + 4)/2
Let o(r) be the second derivative of -r**6/15 - 130*r**5 - 105625*r**4 - 137312500*r**3/3 - 11156640625*r**2 + r - 7. Factor o(w).
