38). Suppose t - 1 = d*x + 3, 4*t = 16. Solve x + 8/7*k - 32/7*k**2 - 18/7*k**3 = 0.
-2, 0, 2/9
Let i(t) be the first derivative of 0*t**4 + 0*t**2 - 2/33*t**3 + 0*t + 2/55*t**5 + 2. Factor i(q).
2*q**2*(q - 1)*(q + 1)/11
Let m(c) = 9*c**2 + c**3 + 6*c + 0*c - c + 0 - 5. Let o be m(-5). Factor 6*z**4 + 3*z**2 - 67*z**5 + o*z**5 + 3*z**4 + 9*z**3.
3*z**2*(z + 1)**3
Let j(f) = -2*f**3 - 18*f**2 + 108*f + 882. Let t be j(-10). Factor 11/2*c - t*c**2 - 3.
-(c - 2)*(4*c - 3)/2
Let k(p) be the second derivative of p**6/540 - p**5/45 - p**4/3 - p**3/6 + 27*p**2/2 - 112*p. Let h(m) be the second derivative of k(m). Factor h(c).
2*(c - 6)*(c + 2)/3
Let j = -678 + 681. Let y(w) be the first derivative of 4 - 1/2*w**2 - 1/2*w + 1/2*w**j. Let y(a) = 0. Calculate a.
-1/3, 1
Let c(b) be the first derivative of b**3/18 - 10*b**2/3 + 37*b/2 - 2211. Find l, given that c(l) = 0.
3, 37
Let a(p) = -p**3 + p. Let h be a(1). Let i = 7853/5254 - -14/2627. Solve h*s - 3/2 + i*s**2 = 0 for s.
-1, 1
Let p = -561 - -564. Suppose p*o + 2*t + 12 = 19, -3*o - 5*t + 4 = 0. Find n, given that -5/3*n**o - 1/3*n**2 + 1/3*n**4 + 0 + 5/3*n = 0.
-1, 0, 1, 5
Factor 25/2*i**2 + 1/6*i**3 - 200/3*i + 0.
i*(i - 5)*(i + 80)/6
Let d(c) be the second derivative of c**6/6 - 11*c**5/4 + 45*c**4/4 - 125*c**3/6 + 20*c**2 + 1351*c. Solve d(l) = 0.
1, 8
Let g(l) be the first derivative of l**3/9 + 15*l**2/2 + 42*l - 5001. What is n in g(n) = 0?
-42, -3
Let p(c) be the first derivative of 3*c**4/20 + 14*c**3/5 + 183*c**2/10 + 252*c/5 - 3162. Factor p(t).
3*(t + 3)*(t + 4)*(t + 7)/5
Let t = 3607/14430 + 1/28860. Let y(d) be the first derivative of 10 - 1/3*d - 1/18*d**3 + t*d**2. Suppose y(g) = 0. What is g?
1, 2
Factor 2*j**2 + 613*j - 489*j + 273 + 167 - 104 + 2*j**2.
4*(j + 3)*(j + 28)
Suppose -5*c = -7 - 3. Let q be 30/9 + (2 - (-14)/(-6)). What is z in -2*z**q + 1 + 4*z**c - 10/3*z + 1/3*z**4 = 0?
1, 3
Suppose 336 = -1036*o + 1060*o. Let g(n) be the third derivative of 0*n**4 - 1/120*n**6 + 0 - 1/30*n**5 + 0*n**3 + 0*n - o*n**2. Determine x so that g(x) = 0.
-2, 0
Let m(a) be the third derivative of 47/420*a**5 + 23/280*a**6 - 56*a**2 + 0*a**3 + 1/588*a**8 + 16/735*a**7 + 5/84*a**4 + 0 + 0*a. Let m(n) = 0. Calculate n.
-5, -2, -1/2, 0
Suppose u = -q + 63, 6*q = 6*u - u + 433. Suppose -70*f + q*f = 0. Factor 2/5*s**2 + f*s**3 - 4/15*s + 0 - 2/15*s**4.
-2*s*(s - 1)**2*(s + 2)/15
Let f be 1 - 2 - (-31)/31. Let o(n) be the third derivative of 0*n**3 - 1/56*n**4 + 1/140*n**6 + 0*n**7 + f + 0*n - 1/784*n**8 + 0*n**5 - 6*n**2. Factor o(u).
-3*u*(u - 1)**2*(u + 1)**2/7
Factor -7/4*l**3 + 0 + 5/2*l**2 - 1/4*l**4 + 4*l.
-l*(l - 2)*(l + 1)*(l + 8)/4
Find s such that -2452/5*s + 188/5*s**2 + 104/5 = 0.
2/47, 13
Suppose -2*g - 126 = -46. Let t be g/10 - 50*2/(-24). Factor -1/2*h + t*h**2 + 0.
h*(h - 3)/6
Let o(p) be the second derivative of -p**5/5 - 2*p**4 + 302*p**3/3 - 288*p**2 - 3610*p. Factor o(t).
-4*(t - 9)*(t - 1)*(t + 16)
Let o(t) be the second derivative of t + 8/5*t**3 + 29 - 1/20*t**4 - 9/2*t**2. Solve o(z) = 0.
1, 15
Let r(z) be the third derivative of -z**7/420 + z**6/240 + 5*z**5/8 + 143*z**4/48 + 35*z**3/6 + 4*z**2 + 184*z. Factor r(s).
-(s - 10)*(s + 1)**2*(s + 7)/2
Let u(w) be the third derivative of w**7/7560 + w**6/270 + 2*w**5/45 + 7*w**4/24 + w**3/6 + 6*w**2 - 3. Let v(s) be the second derivative of u(s). Factor v(k).
(k + 4)**2/3
Let x(b) = 318 + 4*b**3 - b - 316 - 2*b**3 + 0*b. Let q(a) = 13*a**3 + 5*a + 30. Let c(p) = -3*q(p) + 21*x(p). Determine w so that c(w) = 0.
-2, 4
Let -138*t**3 - 52*t - 106*t**4 + 105*t**4 + 227*t**2 - 62*t + 26*t**3 = 0. Calculate t.
-114, 0, 1
Let b(f) = -f + 21. Let p be b(1). Suppose -5*d = -p, -r + 22*d - 11 = 18*d. Factor -1/4*c + 0*c**2 - 1/4*c**r + 0 + 1/2*c**3 + 0*c**4.
-c*(c - 1)**2*(c + 1)**2/4
Let n(p) be the third derivative of 2233*p**6/80 + 223*p**5/6 + 2221*p**4/144 - p**3/18 - 6*p**2 - 94. Factor n(f).
(3*f + 1)**2*(2233*f - 2)/6
Let x(d) be the first derivative of -d**6/8 - 3*d**5 - 27*d**4/4 + 1659. Suppose x(r) = 0. What is r?
-18, -2, 0
Let c(h) be the third derivative of h**7/210 + h**6/4 - 16*h**5/15 - 10494*h**2. Factor c(y).
y**2*(y - 2)*(y + 32)
Let q be 3/27 + (11860/(-36))/(-5). Factor 32 + 88*r**4 + 176*r + 138*r**5 + 312*r**2 - q*r**5 - 60*r**5 + 244*r**3.
4*(r + 1)*(r + 2)**3*(3*r + 1)
Let y(u) be the first derivative of 3*u**4/4 - 390*u**3 - 1131. Determine o, given that y(o) = 0.
0, 390
Let p(d) = 4*d**5 - 4*d**4 + 20*d**3 + 10*d**2 + 3*d + 3. Let c(v) = -3*v**5 + 4*v**4 - 15*v**3 - 6*v**2 - 2*v - 2. Let s(x) = 3*c(x) + 2*p(x). Factor s(j).
-j**2*(j - 2)*(j - 1)**2
Suppose 0 = 5*w + 3*v - 0 + 17, -5*w - 9 = v. Let i be ((2295/(-10))/17)/w. Factor 273/2*f**3 + i*f + 0 - 153/2*f**2 - 147/2*f**4.
-3*f*(f - 1)*(7*f - 3)**2/2
Let b(a) be the second derivative of -42*a + 0 + 49*a**2 - 14/3*a**3 + 1/6*a**4. Determine r, given that b(r) = 0.
7
Let l be ((-8)/10)/((-12)/(-9)*(-540)/200). Solve -1/9*m + 1/9*m**3 - 2/9*m**2 + l = 0 for m.
-1, 1, 2
Let d = 0 - -36. Let z = d - 23. Find h such that 11*h**3 - 5 - 15 - 53*h - 15*h**2 + z*h - h**3 + 5*h**4 = 0.
-2, -1, 2
Let h(i) = -6*i**5 + 122*i**4 + 738*i**3 + 1310*i**2 + 1004*i + 272. Let a(s) = s**5 + 4*s**4 + s + 2. Let o(x) = -8*a(x) - h(x). Let o(m) = 0. Calculate m.
-72, -2, -1
Let n be (-1)/(23/8 + -3) - (11 - 3). Let s(r) be the second derivative of 2/105*r**6 - 8/21*r**3 + 30*r + 0 + 4/35*r**5 - 1/21*r**4 + n*r**2. Factor s(l).
4*l*(l - 1)*(l + 1)*(l + 4)/7
Suppose 4*m + 78 = -3*n + 34, -55 = -9*n + 5*m. Factor -2*o - 2/3*o**2 + n.
-2*o*(o + 3)/3
Let o be (7/(-42)*-50)/((-1056)/(-72) + -13). Let -4/3*p**2 - 8/3*p + 0 + 5/3*p**o + 10*p**3 - 23/3*p**4 = 0. Calculate p.
-2/5, 0, 1, 2
Let i(w) be the first derivative of -6*w**2 + 43 - 19*w**2 + 5*w**4 + 64*w**3 - 1 - 15*w**2. Factor i(s).
4*s*(s + 10)*(5*s - 2)
Let l(m) be the first derivative of -3 + 23/15*m**3 - 7/10*m**2 - 3/5*m - 13/20*m**4. Find v such that l(v) = 0.
-3/13, 1
Let r(f) = 8264*f + 41322. Let n be r(-5). Factor 5/2*o - 1/2*o**3 - 3/2 - 1/2*o**n.
-(o - 1)**2*(o + 3)/2
Let n be 110/(-140)*(-3)/165. Let h(a) be the second derivative of -1/7*a**3 + 0*a**4 + n*a**5 + 2/7*a**2 + 0 - 19*a. Factor h(g).
2*(g - 1)**2*(g + 2)/7
Let z = -237 + 240. Let -3*i**4 + 2*i**4 - 9*i**3 + i**2 - z*i + 12*i**3 = 0. What is i?
-1, 0, 1, 3
Let m be 56*(18/640)/(3324/5540). Determine a, given that -11/4 + 23/8*a**2 + 21/8*a**3 - m*a - 1/8*a**4 = 0.
-1, 1, 22
Suppose 149 + 72 - 109*j - 2*j**2 + 27 + 18*j - 29*j = 0. What is j?
-62, 2
Let b(t) be the first derivative of -3*t**5/140 - 45*t**4/28 - 675*t**3/14 - 10125*t**2/14 + 187*t - 73. Let j(f) be the first derivative of b(f). Factor j(q).
-3*(q + 15)**3/7
Let w(v) be the second derivative of v**6/90 + v**5/60 - 13*v**4/36 - v**3/18 + 2*v**2 - 476*v + 1. Suppose w(s) = 0. What is s?
-4, -1, 1, 3
Let t(f) be the second derivative of 2*f**6/15 + 24*f**5/5 - 27*f**4 - 18*f + 51. Factor t(n).
4*n**2*(n - 3)*(n + 27)
Factor 3992*p + 1683*p**2 - 4*p**4 + 1332 + 510*p**3 - 840*p**2 + 2708*p**2 + 433*p**2 + 810*p**3.
-4*(p - 333)*(p + 1)**3
Let l(k) be the second derivative of -1/4*k**5 - 20*k**2 - 5/42*k**7 - 43*k - 85/12*k**4 + 55/3*k**3 + 5/6*k**6 - 1. Factor l(x).
-5*(x - 4)*(x - 1)**3*(x + 2)
Suppose -12 = -5*t + t. Let a(c) be the third derivative of -4/5*c**5 - c**4 - 1/2*c**t + 0*c + 0 + 16*c**2. Factor a(g).
-3*(4*g + 1)**2
Let d = -2/1028809 + 5144049/2057618. Factor 0*q**2 - 5/4*q**3 - d + 15/4*q.
-5*(q - 1)**2*(q + 2)/4
Suppose -64*z + 128 = -48*z. What is i in -7*i**3 + 3*i**4 + 22*i**3 + 15*i**2 + z*i**3 + 4*i**3 + 9*i**2 = 0?
-8, -1, 0
Let a(x) be the second derivative of 2 + 0*x**3 + 24*x - 2/5*x**2 + 1/100*x**5 + 1/20*x**4. What is v in a(v) = 0?
-2, 1
Let c be ((-36)/(-12) + 15)*(2 - 1). Suppose 3*i + g = 0, -c*g + 15*g = 5*i. Solve i - 2/5*f + 2/5*f**2 = 0 for f.
0, 1
Factor -243/2*b**2 - 225*b - 3/2*b**3 + 948.
-3*(b - 2)*(b + 4)*(b + 79)/2
Let b be (-8)/28*(-37)/((-444)/(-8)). Let p(g) be the third derivative of 0*g - b*g**4 + 16*g**2 - 2/21*g**3 - 16/105*g**5 + 0. Factor p(k).
-4*(4*k + 1)**2/7
Let g be 2 + (-44)/(-8) + 3/(-6). Let m be -3 + g - 1 - 3. Suppose -3/8*s**3 + m - 1/8*s**4 - 1/8*s - 3/8*s**2 = 0. Calculate s.
-1, 0
Let p(l) = -7*l**2 + 66*l - 894. Let m(