hat d(b) = 0.
-2, -1
Suppose 238*f - 98 = -63 + 441. Factor 3/2*g**4 + 12*g**f + 9*g - 27/2 - 9*g**3.
3*(g - 3)**2*(g - 1)*(g + 1)/2
Let p(j) be the first derivative of -5*j**4/4 + 80*j**3/3 - 345*j**2/2 + 450*j + 1148. Solve p(y) = 0.
3, 10
Let q(f) be the first derivative of 72*f**3 - 6*f**4 - 432*f**2 - 34*f + 1/5*f**5 - 43. Let b(m) be the first derivative of q(m). Suppose b(i) = 0. What is i?
6
Let r(v) = 39*v**3 + 6*v**2 - 9573*v - 85086. Let x(y) = 11*y**3 + 2*y**2 - 2735*y - 24311. Let c(q) = 5*r(q) - 18*x(q). Determine a, given that c(a) = 0.
-13, 24
Let w be (7/60 - (1 - 1))*516/5418. Let i(q) be the third derivative of -43*q**2 + 7/72*q**4 + 0*q - 2/9*q**3 - w*q**5 + 0 - 1/360*q**6. Solve i(z) = 0.
-4, 1
Let w(z) = z**2 + 707*z + 123907. Let i(l) = -l**2 - 708*l - 123908. Let b(s) = 3*i(s) + 4*w(s). Let b(a) = 0. What is a?
-352
Let t(o) be the second derivative of 3*o**4 + 2 + 17*o + 15*o**2 - 3/20*o**5 - 21/2*o**3. Factor t(u).
-3*(u - 10)*(u - 1)**2
Let b(k) be the second derivative of -k**5/20 - k**4/6 + 5*k**3/6 + 3*k**2 - 98*k + 3. Factor b(w).
-(w - 2)*(w + 1)*(w + 3)
Let -1508/9*p**2 - 2*p**3 - 386/3*p + 332/9 = 0. Calculate p.
-83, -1, 2/9
Determine v, given that 176*v - 28*v**3 - 4*v**5 + 24*v**4 + 6947*v**2 + 25 - 7019*v**2 - 121 = 0.
-2, 1, 2, 3
Let u(g) be the first derivative of g**3/12 + 15*g**2/4 + 81*g/4 - 4824. Determine s, given that u(s) = 0.
-27, -3
Let p be 215/(-240)*8 - (0 - 8). Let c(k) be the third derivative of -4*k**2 + 5/8*k**4 + p*k**3 + 1/4*k**5 + 1/24*k**6 + 0*k + 0. Let c(v) = 0. Calculate v.
-1
Let w be (-9)/6*20/(-15). Let 353*d**3 - 701*d**3 - 92*d**w + 352*d**3 = 0. Calculate d.
0, 23
Let y(v) be the first derivative of -7*v**4/2 - 396*v**3 - 4508. Factor y(l).
-2*l**2*(7*l + 594)
Let m = 18639261/17 + -1097300. Let c = 873 + m. Factor -2/17*a - 2/17*a**2 + 2/17 + c*a**3.
2*(a - 1)**2*(a + 1)/17
Let g(b) = b**3 - 11*b**2 + 9*b + 13. Let r be -2*((-28)/7 - 1). Let x be g(r). What is u in 0*u**2 + 2/9*u**x + 0 + 2/9*u**5 + 4/9*u**4 + 0*u = 0?
-1, 0
Let v(y) = -9*y**3 - 410*y**2 - 41616*y + 84888. Let l(s) = 40*s**3 + 1640*s**2 + 166466*s - 339560. Let m(t) = -2*l(t) - 9*v(t). Factor m(b).
(b - 2)*(b + 206)**2
Let o = 2 + 1. Find k, given that 4*k**4 - 12*k**2 - 30*k + 2*k - 220*k**3 + 32 - 12*k + 236*k**o = 0.
-4, -2, 1
Let v(j) be the first derivative of j**3/15 + 123*j**2/10 - 50*j - 1185. Factor v(o).
(o - 2)*(o + 125)/5
Let z(x) be the second derivative of -x**6/30 - 12*x**5/5 - 15*x**4/4 + 47*x**3/3 - 2*x + 65. Factor z(t).
-t*(t - 1)*(t + 2)*(t + 47)
Let m(n) be the second derivative of -5*n**4/12 + 25*n**3/2 - 90*n**2 - 785*n. Factor m(d).
-5*(d - 12)*(d - 3)
Let p(g) be the first derivative of g**3/3 + 3*g**2/2 + 5*g - 143. Let t be p(-1). Factor 0*n - 5/2*n**4 + 5*n**2 + 0*n**t - 5/2.
-5*(n - 1)**2*(n + 1)**2/2
Suppose -7*t + 6*t - 95 = 0. Let z = -83 - t. Let -n + 5*n + 7*n**2 - z*n**2 + 6*n**2 - 5 = 0. Calculate n.
-5, 1
Let u(y) be the second derivative of -1/180*y**6 + 1/36*y**4 - 1/12*y**2 - y + 0*y**5 + 0*y**3 + 107. Factor u(h).
-(h - 1)**2*(h + 1)**2/6
Let o(t) be the second derivative of 0 - 10/7*t**2 + 129*t - 1/42*t**4 - 11/21*t**3. What is m in o(m) = 0?
-10, -1
Let u = 146837 - 293673/2. Factor -1 - 11/6*r + u*r**5 + 8/3*r**4 + r**2 + 4*r**3.
(r + 1)**3*(r + 3)*(3*r - 2)/6
Suppose -o - q - 3 = -11, 0 = 3*o + 4*q - 28. Factor -52*t**3 - 6*t**o + 24*t**2 - 2*t**4 + 28*t**4.
4*t**2*(t - 2)*(5*t - 3)
Let h(f) be the second derivative of -f**4/6 + 443*f**3/3 - 442*f**2 - 218*f + 2. Determine s so that h(s) = 0.
1, 442
Suppose -2*t - 2*t = -5*n + 128, 3*n - 4*t = 80. Determine s so that 270 + n*s**3 + 24*s**3 - 153*s + 12*s**2 - 45*s**3 = 0.
-10, 3
Suppose -155972*m + 1481 - 4*m**3 + 158136*m + 591 + 88*m**2 = 0. What is m?
-14, -1, 37
Let u = 306 - 304. Factor -1 + 0*m**2 + 3*m**u + 19*m + 3*m**2 - 2*m**2 + 13.
(m + 4)*(4*m + 3)
Let u(i) be the second derivative of -i**5/60 - 4*i**4/3 + 34*i**3/3 - 104*i**2/3 + 303*i. Factor u(c).
-(c - 2)**2*(c + 52)/3
Let k(j) be the first derivative of 1/2*j**2 + 0*j - 19 - 1/24*j**3. Factor k(m).
-m*(m - 8)/8
Let n(t) = 2*t**4 - t**3 - t**2 - t + 1. Let d(j) = -35*j**4 - 225*j**3 + 260*j**2 + 15*j - 15. Let x(b) = -d(b) - 15*n(b). Let x(z) = 0. What is z?
-49, 0, 1
Determine b, given that -1652/9*b + 146/9*b**2 - 2/9*b**3 + 0 = 0.
0, 14, 59
Let d = -472553 - -945107/2. Factor 0 - 3/2*q - d*q**2.
-q*(q + 3)/2
Determine o, given that -3978*o + 3076445 - 79491*o**2 + 879676 + 79492*o**2 = 0.
1989
Let a(f) be the third derivative of -f**8/168 + f**7/7 + 6*f**6/5 + 38*f**5/15 + 22*f**2 - 3*f. Find k such that a(k) = 0.
-2, 0, 19
Let l(r) = -133*r + 1. Let k be l(1). Let q be (-288)/k - (-4)/(-22). Solve -2*x**3 - 21*x**2 + 2*x**4 - x**4 + 0*x**4 + 20*x**2 + q*x = 0.
-1, 0, 1, 2
Let x(b) = -b**2 - 13*b + 12. Let p be x(6). Let a = p + 150. Determine d so that a*d**2 - 50*d**2 + 1 + 1 + d - d**3 = 0.
-2, -1, 1
Let s(x) = 11*x + 72. Let w be s(-6). Let t be w/(-8)*(-64)/72. Suppose 8/3*z + 0 + t*z**2 = 0. Calculate z.
-4, 0
Let o(c) be the first derivative of -9*c**6/10 - 72*c**5/5 - 156*c**4/5 + 256*c**3 - 1536*c**2/5 + 2548. Factor o(g).
-3*g*(g + 8)**2*(3*g - 4)**2/5
Let m(l) be the third derivative of -l**5/60 - 124*l**4/3 - 123008*l**3/3 + 3*l**2 - 113*l. Factor m(v).
-(v + 496)**2
Let h(j) be the first derivative of j**4/10 - 172*j**3/15 + 17*j**2 - 10316. Find r, given that h(r) = 0.
0, 1, 85
Let -13/5*u**4 + 52/5*u**2 + 4/5*u - 1/5*u**3 + 0 = 0. Calculate u.
-2, -1/13, 0, 2
Let l be 3/(-3) + (7030/(-222) - -34). Factor l*d**2 + 12*d + 32/3.
4*(d + 1)*(d + 8)/3
Let a(q) be the third derivative of q**8/560 + 3*q**7/280 + q**6/60 - 217*q**3/6 + 126*q**2. Let j(b) be the first derivative of a(b). What is y in j(y) = 0?
-2, -1, 0
Suppose -31179*g = -31170*g. Let d(h) be the first derivative of -1/5*h**5 + 0*h**3 - 1/12*h**6 + 0*h - 1/8*h**4 - 10 + g*h**2. Factor d(t).
-t**3*(t + 1)**2/2
Determine t so that -4728/5*t - 1862832/5 - 3/5*t**2 = 0.
-788
Let b be (-1)/(((-2)/4)/1) + (-656)/410. Let l(d) be the first derivative of -3 + 0*d + b*d**2 - 2/3*d**3 + 3/10*d**4. Factor l(s).
2*s*(s - 1)*(3*s - 2)/5
Let j be ((-156)/30 - 0)/((-2)/65). What is z in 644*z**2 - 187*z**2 - 192 + 28*z**3 - j*z**2 - 592*z = 0?
-12, -2/7, 2
Let f(d) be the third derivative of d**5/240 + 167*d**4/48 + 27889*d**3/24 - 3867*d**2. Solve f(r) = 0.
-167
Factor 23*d**2 + 17*d**2 - 57*d**2 - 203 + 16*d**2 - 39*d - 45.
-(d + 8)*(d + 31)
Let i be 4/(-11)*8/((-80)/55). Factor -10*c + 16 + 0*c**2 + 4*c**i - 7*c - 3*c**2.
(c - 16)*(c - 1)
Suppose -9*l = -987 + 951. Let q = -3 + 5. Let q + 9 - l*w - 5 + 2 - 4*w**2 = 0. What is w?
-2, 1
Factor -63504/5 - 162/5*b**3 - 1/5*b**4 - 6057/5*b**2 + 40824/5*b.
-(b - 3)**2*(b + 84)**2/5
Let z(q) be the third derivative of -q**5/12 - 155*q**4/24 + 55*q**3 - 94*q**2 + 4*q. Determine s so that z(s) = 0.
-33, 2
Let m(a) be the third derivative of a**7/168 - a**5/24 - 10*a**3/3 + 2*a**2 + 14*a. Let p(z) be the first derivative of m(z). Find d, given that p(d) = 0.
-1, 0, 1
Solve -637*t**2 - 216 + 356*t**2 + 4*t**4 + 644*t - 355*t**2 + 204*t**3 = 0.
-54, 1
Let k = 12769 + -12765. Let h(c) be the second derivative of 37*c - 1/12*c**k - 1/80*c**5 + 0 + 0*c**2 - 1/8*c**3. Suppose h(v) = 0. Calculate v.
-3, -1, 0
Let a be 17222/654 + -34 + 8. Factor 0*w + 1/3*w**2 - a.
(w - 1)*(w + 1)/3
Suppose -3*w = -w - 18. Let x(d) = 15*d - 135. Let q be x(w). Factor 4/5*z**4 + 0*z**2 + 0*z**3 + 8/5*z**5 + q + 0*z.
4*z**4*(2*z + 1)/5
Let p = -6801/31 - -48165/217. Suppose 22/7*j**2 - 4/7 - p*j = 0. Calculate j.
-2/11, 1
Let l(v) = 3*v**3 - 49*v**2 - 400*v - 343. Let y(d) = 2*d**3 - 50*d**2 - 398*d - 342. Let n be -5 + 6/(-4)*10/(-15). Let g(j) = n*l(j) + 5*y(j). Factor g(x).
-2*(x + 1)*(x + 13)**2
Let t(a) be the second derivative of a**7/5040 - a**6/720 + 13*a**4/12 - a**3/6 + 5*a + 1. Let f(p) be the third derivative of t(p). Factor f(m).
m*(m - 2)/2
Let q be 6/(-2)*((-50)/(-15) - 11). Determine r so that -12*r**3 + 195*r**2 - 245*r**2 - q*r**3 + 70*r**4 + 15*r**5 = 0.
-5, -2/3, 0, 1
Determine k so that -14*k**5 + 240 + 583*k - 45*k**4 - 692*k**3 + 346*k**3 - 33*k + 345*k**2 + 9*k**5 + 341*k**3 = 0.
-8, -2, -1, 3
Let j(d) = -d**3 - 13*d**2 + d - 28. Let x be j