2*d**2.
-d*(d - 17)*(d - 1)*(d + 1)/2
Let d be (504/(-96))/(3*7/(-30)). Factor 3/4*i**2 + d*i + 27/4.
3*(i + 1)*(i + 9)/4
Find b, given that 158/13*b**3 - 3348/13*b**2 + 22792/13*b - 19600/13 - 2/13*b**4 = 0.
1, 14, 50
Let i(x) = 26*x + 32. Let v be i(4). Let g = -132 + v. Factor -6*h**2 - 8*h**4 - 4*h**2 + 8*h**g + 5*h**4 - 5*h**3.
5*h**2*(h - 2)*(h + 1)
Let y(m) be the first derivative of -10*m**3/33 + 1088*m**2/11 + 872*m/11 + 484. Determine q so that y(q) = 0.
-2/5, 218
Let p(f) = -f - 2 + 4 + 6. Let b be p(3). Suppose 5*v - 6*v**3 - 4*v**3 - b + 5*v**2 + 5*v**3 = 0. Calculate v.
-1, 1
Let n be 322/((27 - 26)*5/(-8)). Let g = -515 - n. Factor 1/5*y**4 - 2/5*y**3 + 1/5*y + g*y**5 - 2/5*y**2 + 1/5.
(y - 1)**2*(y + 1)**3/5
Let o be 45 + 2652/(-91) - (13 + 4/(-1)). Solve -26/7*z - 34/7*z**3 + 4/7 + 8/7*z**4 + o*z**2 = 0 for z.
1/4, 1, 2
Suppose -39 = -5*x + 3*d, 0 - 3 = d. Factor -22507*q + 22511*q - q**3 + 2 - 2*q**2 + x.
-(q - 2)*(q + 2)**2
Suppose 8 = -2*v + 2*d + 22, 2*d = -4*v + 4. Let q = 151727/17 - 8925. Suppose -6/17*c**4 - q*c**5 + 6/17*c**2 - 2/17*c**v + 0 + 4/17*c = 0. What is c?
-2, -1, 0, 1
Let q(x) = 13454*x + 5. Let y be q(0). Determine n, given that -4/7*n**3 - 2/7 + 16/7*n**2 + 8/7*n**y - 2*n**4 - 4/7*n = 0.
-1, -1/4, 1
Suppose -9*r - 16 = -17*r. What is f in -r*f**3 - 243*f - 209*f + 518*f - 34 - 30*f**2 = 0?
-17, 1
Let x(z) = z**3 + 16*z**2 + 2. Let w be 92/(-6) - (-140)/(-210). Let k be x(w). Determine f so that -6/7*f**3 + 4/7 - k*f + 16/7*f**2 = 0.
2/3, 1
Let s(l) be the third derivative of -l**7/1470 + 3*l**6/35 - l**5/3 + l**2 + 859*l. Factor s(h).
-h**2*(h - 70)*(h - 2)/7
Let p = 126 - 115. Factor 9*n**2 - 8*n - n**3 + p*n**2 + 4*n**3 + n.
n*(n + 7)*(3*n - 1)
Let n = 2019/4045 - -7/8090. Factor n*x**3 - 3/2*x**2 + x + 0.
x*(x - 2)*(x - 1)/2
Suppose -39/4*c - 27/2*c**2 + 9 + 21/4*c**3 = 0. What is c?
-1, 4/7, 3
Let y(f) be the first derivative of -1/14*f**4 + 0*f - 17 + 4/21*f**3 + 3/7*f**2. Let y(v) = 0. Calculate v.
-1, 0, 3
Suppose 4/3*f**3 - 176 + 40*f**2 - 412/3*f = 0. Calculate f.
-33, -1, 4
Let u be 1 + (6 - 6) - (-4 - -3). Let -12 + 8*m**2 - m + 9*m**2 + m**u - 26*m**2 + 9*m**2 = 0. What is m?
-3, 4
Let c(j) be the first derivative of -j**5/10 + 19*j**4/8 - 115*j**3/6 + 225*j**2/4 + 2457. What is u in c(u) = 0?
0, 5, 9
Let h be 40/(-15)*45/(-6). Let h*q - 2*q**3 - 4 + q**2 + 4 + 17*q**2 = 0. Calculate q.
-1, 0, 10
Let u(z) = z**3 + 8*z**2 - 11*z - 74. Let d be u(-8). Factor 30*r**2 - 3*r + 71*r**3 - 60 - 76*r**3 - d*r - 8*r.
-5*(r - 4)*(r - 3)*(r + 1)
Let l be -2*6/5*37/(1887/(-85)). Suppose 0 = 5*f + 10, -5*z + 5*f + 8 + 2 = 0. Factor 12/5*o + z + l*o**3 - 32/5*o**2.
4*o*(o - 1)*(5*o - 3)/5
Let c(m) be the second derivative of -m**7/84 - 7*m**6/15 - 61*m**5/10 - 28*m**4 - 48*m**3 - 2*m + 668. Find k, given that c(k) = 0.
-12, -2, 0
Let n(l) be the second derivative of 1/30*l**6 - 1/12*l**4 + 0 - 3/20*l**5 + 0*l**2 + 1/42*l**7 + 1/3*l**3 - 22*l. Suppose n(a) = 0. What is a?
-2, -1, 0, 1
Let c be ((-112)/6)/(-7) + (-4)/(-12). Suppose 16*b**c - 9*b**2 - 8*b**2 - 44*b**4 - 8 + b**5 + 60*b**4 + 9*b**2 + 3*b**5 - 20*b = 0. What is b?
-2, -1, 1
Let d be 2/(-4*(-21)/(-5516))*3. Let c be (-10 - d/26) + 0 + -5. Solve -12/13*w**2 - 10/13*w**3 + 0 + 0*w - c*w**4 = 0.
-3, -2, 0
Let l(t) be the third derivative of 0 + 179*t**2 + 0*t + 1/33*t**4 - 2/1155*t**7 + 4/165*t**5 + 0*t**3 - 1/660*t**6. Find d such that l(d) = 0.
-2, -1/2, 0, 2
Let p be 38/(-4)*6195/(-33630). Factor 5/2 + 1/4*z**2 - p*z.
(z - 5)*(z - 2)/4
Let t = -7619 - -7623. Let i(f) be the first derivative of 0*f - 15 - 32*f**2 + 36/5*f**5 - 48*f**t + 208/3*f**3. Factor i(g).
4*g*(g - 4)*(3*g - 2)**2
Suppose 5*k - k - 5*u = 78, 5*k = 3*u + 104. Suppose h = k*h - 105. Determine f so that -7/5*f**3 - 23/5*f**2 - 1/5*f**h + 7/5*f**4 + 8/5*f + 16/5 = 0.
-1, 1, 4
Let z(o) be the third derivative of -o**6/600 + 19*o**5/100 - 9*o**4/20 - 56*o**3/15 - 6827*o**2. Factor z(p).
-(p - 56)*(p - 2)*(p + 1)/5
Factor -60*z**3 + 23*z**3 - 39*z**4 - 453*z**2 + 3*z**5 + 408*z**2 - 50*z**3.
3*z**2*(z - 15)*(z + 1)**2
Let k(b) be the second derivative of -b - 75*b**2 + 205/2*b**3 + 28 + 22*b**4 + 27/20*b**5. Factor k(l).
3*(l + 5)**2*(9*l - 2)
Let d(j) be the third derivative of j**5/40 + 689*j**4/16 + 172*j**3 + 4*j**2 - j - 189. Solve d(o) = 0 for o.
-688, -1
Let o(s) = 4*s**2 + 664*s - 524. Let h(d) = -d**2 - 80*d. Let g(j) = 5*h(j) + o(j). Find x, given that g(x) = 0.
2, 262
Let s(c) be the third derivative of c**6/240 + c**5/120 - 2*c**4 - 33*c**3 - 3*c**2 + 285*c. Suppose s(r) = 0. What is r?
-6, 11
Suppose -8*z + 4*z - 36 = 4*d, -4*d = -3*z + 22. Let q = d + 9. Factor -42*l + 82*l - 4*l**q - l**3 - 44*l.
-l*(l + 2)**2
Factor -w**5 + 81023*w**4 - 10*w**3 - 81014*w**4 + 2*w**5.
w**3*(w - 1)*(w + 10)
Let s(g) be the second derivative of -3*g**5/20 + 163*g**4/4 - 323*g**3/2 + 483*g**2/2 + 1001*g. Let s(m) = 0. Calculate m.
1, 161
Let g be 3/(-12) - (-6)/(-8). Let m be (g - (-3 + (-498)/(-63))) + 6. Factor -4/21 - m*o**2 + 2/7*o.
-2*(o - 2)*(o - 1)/21
Factor 10*v - 2*v**3 + 0 + 179/3*v**2.
-v*(v - 30)*(6*v + 1)/3
Suppose -119 = -22*j - 104 + 95. Factor 0*l**3 + 0*l**2 + 0 + 0*l + 3/4*l**4 - 1/4*l**j.
-l**4*(l - 3)/4
Let s(b) be the second derivative of -20*b**7/21 - 82*b**6/15 - 12*b**5/5 + 67*b**4/3 + 16*b**3/3 - 24*b**2 - 4449*b. Let s(z) = 0. What is z?
-3, -2, -1/2, 2/5, 1
Let a = -173383 + 520153/3. Factor -7/3*x - 1 - a*x**2.
-(x + 1)*(4*x + 3)/3
Let r(n) be the first derivative of -n**7/350 + 7*n**5/100 - 3*n**4/20 + 39*n**2/2 + 91. Let v(w) be the second derivative of r(w). Factor v(h).
-3*h*(h - 2)*(h - 1)*(h + 3)/5
Let h(z) = -46*z**4 - 466*z**3 - 1914*z**2 - 3050*z - 1630. Let l(a) = -a**4 - a**3 + a**2 - a - 3. Let i(d) = -h(d) + 10*l(d). Factor i(x).
4*(x + 5)**2*(3*x + 4)**2
Let g be 9/(-3)*(-3)/((-54)/(-12)). Suppose -2*a + 5*c + 25 = -4*a, -g*c - 10 = 5*a. Factor a*y - 2/9*y**2 + 0 + 4/9*y**3 - 2/9*y**4.
-2*y**2*(y - 1)**2/9
Factor -580 - 525*y**2 + 237*y**2 + 272*y**2 - 2324*y.
-4*(y + 145)*(4*y + 1)
Let n(a) = -7*a**2 + 871 - 11326*a**3 + 95 + 11328*a**3 + 105*a**2 + 560*a. Let u(y) = y**3 + 99*y**2 + 560*y + 968. Let i(r) = 4*n(r) - 3*u(r). Factor i(k).
5*(k + 3)*(k + 8)**2
Let z = -539528 - -1618591/3. Let 10/3*a + 0 - z*a**2 + 1/3*a**3 = 0. What is a?
0, 2, 5
Let p(i) be the first derivative of 3*i**5/25 - 27*i**4/20 - 374. Let p(c) = 0. What is c?
0, 9
Let k = 446 - 447. Let x be 2/(k*2) - (-770)/539. What is r in 0*r - 3/7*r**3 - x*r**2 + 0 = 0?
-1, 0
Let h = 77031 - 77029. Find z such that 3/4*z**h + 1/2*z + 1/4*z**3 + 0 = 0.
-2, -1, 0
Let v(w) be the third derivative of 11/90*w**5 + 0*w**3 - 73*w + 1/180*w**6 + 0 - 1/3*w**4 - 2*w**2. Factor v(i).
2*i*(i - 1)*(i + 12)/3
Factor -68*x**2 + 1205*x**5 - 12 - 42*x**3 - 47*x - 18*x**4 - 1204*x**5 + 10*x**4.
(x - 12)*(x + 1)**4
Let c(w) = w**3 + 54*w**2 + 342*w + 330. Let z be c(-6). Factor -z*q + 2/3*q**2 - 20/3.
2*(q - 10)*(q + 1)/3
Let i = 15/4541 - -15825340/13623. Let x = i - 1135. Suppose 12*t**4 - 44*t**3 + x*t + 88/3*t**2 - 32/3 = 0. What is t?
-2/3, 1/3, 2
Factor -2/7*p**2 - 13122/7 - 324/7*p.
-2*(p + 81)**2/7
Let r(m) be the second derivative of m**6/270 + 8*m**5/15 - 97*m**4/108 - 6*m - 440. Find c, given that r(c) = 0.
-97, 0, 1
Let d(q) be the first derivative of 64 - 56 + 28*q**2 - 6*q - 3 - 6*q**3 + 76. Solve d(h) = 0 for h.
1/9, 3
Let j(g) be the second derivative of g**6/150 - 1158*g**5/25 + 670482*g**4/5 - 1035224208*g**3/5 + 899092224648*g**2/5 + 1643*g + 1. Factor j(h).
(h - 1158)**4/5
Let l(c) = c**2 - c - 10. Let n(j) = -7*j**2 + 222*j - 155. Let y(w) = -6*l(w) - n(w). Suppose y(d) = 0. What is d?
1, 215
Find g such that 15 - 3*g**2 - 1/4*g**3 + 49/4*g = 0.
-15, -1, 4
Let a be 20256/5712 + (-4)/34. Let x(j) be the first derivative of 6 + 2/7*j**3 + 3/14*j**4 - 12/7*j**2 - a*j. Determine z, given that x(z) = 0.
-2, -1, 2
Let n(g) be the first derivative of g**4 + 44*g**3/3 + 76*g**2 + 160*g + 223. Factor n(w).
4*(w + 2)*(w + 4)*(w + 5)
Let f(m) be the third derivative of -17*m**7/168 - 39*m**6/32 - 13*m**5/4 + 25*m**4/24 - 5*m**2 - 1. Suppose f(k) = 0. Calculate k.
-5, -2, 0, 2/17
Let s(c) be the second derivative of -c**6/270 + 7*c**5/45 + 31*c**4/108 - 29*c**3/27 - 1086*c - 1. Find d, gi