3/27 + 206*w**2/9 + 136*w/3 - 476. Find b, given that h(b) = 0.
-102, -1
Let p(z) be the third derivative of 3/8*z**4 + 1/100*z**5 + 67*z**2 - 1/600*z**6 + 27/10*z**3 + 0*z + 0. Find a, given that p(a) = 0.
-3, 9
Let g = 3069 - 10265/3. Let u = g - -353. Factor -1/4*l + 0 - u*l**2.
-l*(4*l + 3)/12
Factor 3/4*g**3 + 144*g + 39/2*g**2 + 216.
3*(g + 2)*(g + 12)**2/4
Let q be 129*(-2)/(-6) - 4. Factor 8*p + 20 + 4*p**2 - 13 - q.
4*(p - 2)*(p + 4)
Let s = -27 + 31. Suppose -5*c = -2*w - 6, -7 = -3*w - s*c + 7. Factor 12*o + 7921 - 7921 + w*o**3 + 10*o**2.
2*o*(o + 2)*(o + 3)
Suppose -13*z + 2031 - 1836 = 0. Suppose 16*s - 12 = -5*c + z*s, 9 = 5*c + 2*s. Factor 1/9*b**5 - 1/9 - 1/3*b - 2/9*b**2 + 1/3*b**4 + 2/9*b**c.
(b - 1)*(b + 1)**4/9
Let w(b) be the second derivative of b**7/21 - 7*b**6/45 - 19*b**5/10 + 83*b**4/18 + 2*b**3 - 40*b**2/3 + 1228*b - 3. What is m in w(m) = 0?
-4, -2/3, 1, 5
Let x(d) be the second derivative of -35/12*d**4 - 740/3*d**3 - 6*d - 210*d**2 - 5. Factor x(h).
-5*(h + 42)*(7*h + 2)
Suppose 4*q = 3*a - 12 - 17, 0 = -3*a + q + 14. Suppose -19*p + 16*p = -6. Determine k, given that 1/3*k**p + 0 - 2/3*k + 1/3*k**a = 0.
-2, 0, 1
Let x be 7 + ((-8 - 235/35) + 8)/1. Find y, given that 8 + 60/7*y**2 + x*y**3 + 114/7*y = 0.
-28, -1
Let p(a) be the third derivative of 0*a**6 - 1/840*a**8 - 3*a**2 + 0*a**3 + 0 + 0*a**4 + 0*a + 1/525*a**7 + 0*a**5. Suppose p(l) = 0. What is l?
0, 1
Let r(w) be the first derivative of -10*w**6/3 - 36*w**5 - 525*w**4/4 - 490*w**3/3 + 328. Factor r(f).
-5*f**2*(f + 2)*(2*f + 7)**2
Let i be 5664/212400 - 3671/(-150). Determine t so that 6*t**5 + i*t**3 + 41/2*t**4 + 21/2*t**2 - 1/2*t - 1 = 0.
-1, -2/3, 1/4
Let c(z) be the third derivative of -29*z**2 + 0 + 1/2*z**4 + 0*z**3 + 0*z**5 - 3/40*z**6 - z + 1/70*z**7. Solve c(l) = 0.
-1, 0, 2
Let n(o) = 7*o + 51. Let d = -72 + 65. Let c be n(d). Suppose -5*z - 9*z**3 + 31*z**3 - 3*z**5 + c*z - 16*z**3 = 0. Calculate z.
-1, 0, 1
Let y(b) be the second derivative of -b**5/40 - 103*b**4/24 - 203*b**3/12 - 101*b**2/4 + 20*b - 22. Suppose y(c) = 0. Calculate c.
-101, -1
Let a(z) = -z**4 + z**3 + z**2 + 15*z. Let s(f) = -3*f**5 - 101*f**4 - 487*f**3 - 619*f**2 + 75*f. Let g(l) = 5*a(l) - s(l). Determine p, given that g(p) = 0.
-26, -4, -2, 0
Suppose -2*n + 4*n = -3*y + 321, -539 = -5*y - 2*n. Find z, given that 38*z - 3*z**2 + 8*z - 114 - y*z = 0.
-19, -2
Let j = 109 - 112. Let d(t) = -4*t**2 - 10*t + 14. Let v(k) = 2*k - 2. Let b(w) = j*v(w) + d(w). Solve b(x) = 0.
-5, 1
Let u be (29/(-1595) + (-4)/(-20))*(2 - 1). Suppose -32/11 + 12/11*z**3 - 2/11*z**4 - 48/11*z - u*z**2 = 0. What is z?
-1, 4
Let a(b) be the third derivative of b**7/945 - 13*b**6/270 + 28*b**5/45 - 115*b**4/54 - 425*b**3/27 - 1377*b**2. Suppose a(k) = 0. What is k?
-1, 5, 17
Let t(h) be the first derivative of -h**7/14 + 3*h**6/10 + 80*h + 31. Let o(x) be the first derivative of t(x). Factor o(c).
-3*c**4*(c - 3)
Find s, given that -1347 + 987570*s**3 - 987566*s**3 - 1369 + 412*s**2 + 2300*s = 0.
-97, -7, 1
Let b(x) = -x**2 - 19*x + 10418. Let p be b(93). Solve -9 - 9/2*o**3 + 3/2*o**4 - 9/2*o**p + 33/2*o = 0.
-2, 1, 3
Let p(c) be the first derivative of -2*c**3/3 + 231*c**2 + 932*c - 4685. Factor p(o).
-2*(o - 233)*(o + 2)
Let f(x) = -18*x**2 - 2*x + 1. Let v(q) = -3*q**3 - 258*q**2 + 150*q + 15. Let d(w) = -15*f(w) + v(w). Solve d(m) = 0 for m.
-6, 0, 10
Find h such that -13/4*h**3 - 1/4*h**4 + 129/4*h**2 - 215/4*h + 25 = 0.
-20, 1, 5
Let c(g) be the first derivative of g**4/20 + 2*g**3/3 - 191*g**2/10 + 36*g + 1733. Factor c(q).
(q - 9)*(q - 1)*(q + 20)/5
Let h(u) = -2*u**3 - 45*u**2 + 19*u - 76. Let s be h(-23). Factor -58*w**3 - 103*w + 60*w**3 - s*w**2 + 28 + 113*w.
2*(w - 7)*(w - 2)*(w + 1)
Let o(n) be the first derivative of -n**4/14 - 92*n**3/7 + 1152*n**2/7 - 4672*n/7 + 7572. Factor o(a).
-2*(a - 4)**2*(a + 146)/7
Let n(i) = 4*i**2 + 178*i - 274. Let j be n(-46). Let r(l) be the first derivative of 26 + 45*l + 5/3*l**3 + 15*l**j. Factor r(q).
5*(q + 3)**2
Let c(m) be the first derivative of -1/12*m**3 - 42 + 0*m + 1/8*m**2. Determine f, given that c(f) = 0.
0, 1
Suppose 0 = -2*o, 16*p = 18*p - 6*p + 4*o + 8. Let v be (9 + (-5 - -2))/2. Factor -6/7*h**p + 2/7 - 4/7*h**v + 0*h.
-2*(h + 1)**2*(2*h - 1)/7
Let v = 3184/4929 + 34/1643. Factor v*r + 2/9*r**2 + 0.
2*r*(r + 3)/9
Let q(y) be the second derivative of -53/60*y**6 + 0 - 3/20*y**5 - 1/7*y**7 + 3/2*y**3 - 2*y**2 + 61/24*y**4 - 14*y. Solve q(t) = 0 for t.
-4, -1, -2/3, 1/4, 1
Let s(p) be the second derivative of p**6/80 + 7*p**5/40 + p**4/4 - 3*p**3 + 21*p**2/2 - 29*p + 2. Let g(x) be the first derivative of s(x). Factor g(v).
3*(v - 1)*(v + 2)*(v + 6)/2
Let h(s) be the third derivative of s**7/5 + 27*s**6/20 + 233*s**5/70 + 111*s**4/28 + 18*s**3/7 - 2*s**2 + s - 46. Determine j so that h(j) = 0.
-2, -1, -3/7
Let b = -737 + 739. What is j in -11*j + 4*j**b - 18*j**3 - 5*j + 3*j**4 - 6*j + 29*j**2 + 4*j = 0?
0, 1, 2, 3
Factor s**5 + 285*s**4 - 56*s + 3*s**2 - 288*s**4 + 54*s + s**3.
s*(s - 2)*(s - 1)**2*(s + 1)
Let b(n) be the second derivative of n**6/90 - 3*n**5/20 - n**4/3 + 10*n**3/9 - 170*n. Factor b(i).
i*(i - 10)*(i - 1)*(i + 2)/3
Let x(w) = -w + 16 + w**2 - 5*w - 3*w + 0*w. Let c be x(7). Factor 15*f**2 - c*f - 10 + 5*f**3 - 5*f**4 - 5*f + 2*f.
-5*(f - 2)*(f - 1)*(f + 1)**2
Let a(p) = -24*p**3 + 485*p**2 + 15833*p + 43207. Let z(d) = -14*d**3 + 242*d**2 + 7916*d + 21604. Let g(j) = -4*a(j) + 7*z(j). Determine h so that g(h) = 0.
-60, -3
Let r(n) be the first derivative of -n**5/240 + 35*n**4/96 - 24*n**2 - 2*n + 126. Let m(b) be the second derivative of r(b). Let m(t) = 0. What is t?
0, 35
Let h be (-12 - (-261)/18)*1/20. Solve -1 - 3/4*a - h*a**2 = 0 for a.
-4, -2
Let i(o) be the second derivative of o**7/168 + o**6/36 - o**5/6 - 5*o**4/3 - 4*o**3 - o**2 + 3*o + 10. Let f(m) be the second derivative of i(m). Factor f(j).
5*(j - 2)*(j + 2)**2
Suppose 9*p**3 + 5 - 160 + 546*p - 61 - 24*p**2 - 198*p**2 - 117*p**2 = 0. Calculate p.
2/3, 1, 36
Let i(b) be the first derivative of -4*b**3/21 + 578*b**2/7 - 328*b + 11397. Factor i(c).
-4*(c - 287)*(c - 2)/7
Suppose 5*y - 52 = -4*p, -2*y + 2*p + 20 + 8 = 0. Let c be (2 - 4) + y + 8. Let -20*d + 12 - 22*d**2 + c*d**2 + 12 = 0. Calculate d.
-6, 1
Let r(v) be the third derivative of -v**6/1260 - v**5/10 - 21*v**4/4 + 43*v**3/2 - 77*v**2. Let i(a) be the first derivative of r(a). Factor i(w).
-2*(w + 21)**2/7
Factor -x + 2199*x**4 + x - 2169*x**4 - 45*x**3 + 20*x**2 - 5*x**5.
-5*x**2*(x - 4)*(x - 1)**2
Let y = 11243/7 + -1606. Let o(t) be the second derivative of 6*t - 2/105*t**6 + 0 + 0*t**2 + y*t**4 - 4/21*t**3 + 0*t**5. Factor o(w).
-4*w*(w - 1)**2*(w + 2)/7
Let f(o) be the second derivative of 3/70*o**5 + 0*o**2 - 2/21*o**3 + 2/105*o**6 + 1 - 7*o - 1/14*o**4. Solve f(v) = 0.
-2, -1/2, 0, 1
Let k be 10/5 + 4/(3780/951) + -3. Let x(g) be the third derivative of -7*g**2 + 0 - k*g**7 + 0*g**6 + 0*g**3 + 0*g + 1/45*g**5 + 0*g**4. Factor x(j).
-4*j**2*(j - 1)*(j + 1)/3
Let r be 7/(-21) + (-217)/(-21). Suppose -12 = -r*m + 14*m + 4*s, 5*m + s = 5. Suppose 0 + 4/13*j**3 - 2/13*j**m - 4/13*j + 2/13*j**4 = 0. What is j?
-2, -1, 0, 1
Let q = -284 + 350. Suppose q*k - 49 - 39*k - k**2 - 41*k = 0. What is k?
-7
Let s(o) = 2*o**2 + 3*o - 1. Let a(g) = 16*g**3 - 242*g**2 + 827*g + 227. Let t(j) = -a(j) - 3*s(j). Factor t(p).
-4*(p - 8)*(p - 7)*(4*p + 1)
Let q(z) be the second derivative of -6*z**4 - 2/15*z**6 + 54 - 9/5*z**5 + 0*z**3 + 0*z**2 - 2*z. Factor q(j).
-4*j**2*(j + 3)*(j + 6)
Factor -293/2 + 3/4*t**2 - 1757/4*t.
(t - 586)*(3*t + 1)/4
Let m(t) = 100*t**2. Let j be 4 - 4 - -2 - 1. Let y be m(j). Let y*r**4 + 2*r**3 - 10*r - 2 - 2 - 98*r**4 - 6*r**2 = 0. Calculate r.
-1, 2
Let m(l) = l**2 + 3*l - 83. Let f be m(8). Suppose 5*g = 4*h + 13, -5*h + 3*g + g - f = 0. Let -8/3*s**h + 4*s**2 - 8/3*s + 2/3*s**4 + 2/3 = 0. Calculate s.
1
Let m be 21/(-14)*(-18 + 6290/357). Factor 4/7*i**3 - m*i - 8/7 + 8/7*i**2.
4*(i - 1)*(i + 1)*(i + 2)/7
Determine i so that -90481*i + 6897 - 1239*i**2 - 112116 - 3*i**3 - 38063*i - 22089 = 0.
-206, -1
Let o(a) be the first derivative of -a**5/10 + 2*a**4 + 81*a**3/2 + 217*a**2/2 + 104*a + 4509. Factor o(q).
-(q - 26)*(q + 1)**2*(q + 8)/2
Let t(r) be the second derivat