 derivative of 0*h + b + 0*h**3 + 1/80*h**5 + 0*h**4 + 16*h**2 + 1/70*h**7 - 1/32*h**6. Let i(v) = 0. What is v?
0, 1/4, 1
Let t(c) be the third derivative of c**8/4032 - c**7/336 - c**6/36 - 21*c**5/10 + 6*c**2 - 5*c. Let g(y) be the third derivative of t(y). Factor g(d).
5*(d - 4)*(d + 1)
Factor 90*a - 5/2*a**2 - 775/2.
-5*(a - 31)*(a - 5)/2
Let n = -645 - -162. Let c = n + 489. Determine x, given that 2/3*x**4 - 8/3 + 10/9*x**3 + 64/9*x - 2/9*x**5 - c*x**2 = 0.
-3, 1, 2
Let s(r) = 2*r**2 - 909*r - 909. Let k be s(-1). Factor -1/3*i**3 - 1/3*i**4 + 4*i**k + 28/3*i + 16/3.
-(i - 4)*(i + 1)*(i + 2)**2/3
Let y = -370482/19 + 19506. Let f = y + -358/57. Factor 2/3*h + f*h**4 - 4/3*h**2 - 4/3*h**3 + 2/3*h**5 + 2/3.
2*(h - 1)**2*(h + 1)**3/3
Let k(i) = 53*i**2 + 71*i - 70. Let s(v) = -131*v**2 - 143*v + 139. Let g(w) = 5*k(w) + 2*s(w). Determine n so that g(n) = 0.
-24, 1
Factor -164/7*k - 501/7 + 1/7*k**2.
(k - 167)*(k + 3)/7
What is q in -2/3*q**3 + 360 + 208*q + 38/3*q**2 = 0?
-9, -2, 30
Suppose 191 + 161 = 35*x - 93 - 45. Suppose 196 - x*q + 1/4*q**2 = 0. Calculate q.
28
Let r(d) be the second derivative of -7/18*d**4 + 11/3*d**3 + 157*d + 10/3*d**2 + 0. Find i, given that r(i) = 0.
-2/7, 5
Let c(b) be the third derivative of b**7/1512 - 7*b**6/432 + 5*b**5/36 + 49*b**4/24 + 85*b**2. Let z(o) be the second derivative of c(o). What is h in z(h) = 0?
2, 5
Determine b so that 0 - 110*b**3 + 1/5*b**4 + 0*b + 15125*b**2 = 0.
0, 275
Determine x so that -1/4*x**2 + 331 + 1323/4*x = 0.
-1, 1324
Suppose 4*a = -a - 0*a. Suppose -140*f + 130*f = a. Factor f + 24/7*i**3 + 4/7*i - 4*i**2.
4*i*(i - 1)*(6*i - 1)/7
Let n(k) be the first derivative of -k**4/28 + 5*k**3/7 - k**2 + 7342. Factor n(c).
-c*(c - 14)*(c - 1)/7
Let d(i) = 6*i**4 + 159*i**3 - 501*i**2 + 63. Let p(w) = -w**4 - 32*w**3 + 100*w**2 - 12. Let v(r) = -4*d(r) - 21*p(r). Factor v(g).
-3*g**2*(g - 8)*(g - 4)
Let t = 523831/170 - 498/85. Let x = t + -2958. Solve -24*m - 75/2*m**5 - 8/3 - 428/3*m**3 - 84*m**2 - x*m**4 = 0 for m.
-1, -2/3, -2/5
Factor -756900/13 - 2/13*u**3 - 374970/13*u + 1736/13*u**2.
-2*(u - 435)**2*(u + 2)/13
Let k = -80 - -82. Suppose 5*x - 18 = k*x + 2*n, 4*x - 3*n = 24. Factor -1 + 13 - x*t - 31*t**2 + 8*t + 29*t**2.
-2*(t - 3)*(t + 2)
Let r(m) be the first derivative of m**6/3 - 26*m**5/5 - m**4/2 + 26*m**3/3 + 285. Suppose r(x) = 0. Calculate x.
-1, 0, 1, 13
Let j(t) be the first derivative of t**6/9 - 38*t**5/15 + 20*t**4 - 688*t**3/9 + 464*t**2/3 - 160*t - 1428. Find s such that j(s) = 0.
2, 3, 10
Let z(x) = 9*x + 7*x + 8*x - 7 - 2 - 35*x. Let u be z(-1). Factor 3/7*s**u + 3/7 - 6/7*s.
3*(s - 1)**2/7
Let o(v) = v**2 + 11*v + 5. Let l(k) = k. Let q(j) = 6*l(j) + o(j). Let s be q(-17). Factor -2*u**4 - 14*u**4 + u**s + 5*u**5 + 3*u**2 + 7*u**4.
3*u**2*(u - 1)**2*(2*u + 1)
Let l = 73631/9 + -8181. Let j(p) be the third derivative of 27*p**2 + 0 + 0*p - 1/24*p**4 - l*p**3 + 1/180*p**5. Solve j(m) = 0 for m.
-1, 4
Let a(g) be the first derivative of 5*g**3/6 + 110*g**2 + 5475*g/2 - 1309. Factor a(o).
5*(o + 15)*(o + 73)/2
Let f(w) be the second derivative of w**7/42 - 2*w**6/45 - 7*w**5/12 + 26*w**3/9 - 8*w**2/3 - 2918*w. Solve f(g) = 0.
-2, 1/3, 1, 4
Let p be 7/(105/6) - (-1462)/(-5). Let m = p + 4382/15. Let -m*a**3 - 4/15*a**2 + 0*a + 0 = 0. Calculate a.
-2, 0
Suppose -8*q + 12*q = -316. Let m = q - -81. Determine n, given that -2*n**3 - m*n - 8*n + 45*n**2 - 70*n**4 - 22*n**3 + 9*n**3 = 0.
-1, 0, 2/7, 1/2
Factor -3*b**2 + 88*b + 92*b + 333 + 150*b.
-3*(b - 111)*(b + 1)
Let d(z) be the third derivative of -1/280*z**7 + 0*z**4 + 0*z**5 + z**2 + 11/160*z**6 - 34*z + 0*z**3 + 0. Factor d(g).
-3*g**3*(g - 11)/4
Solve -3*j**3 + 1557*j + 2198 + 202 + 246*j**2 - 24 = 0 for j.
-3, 88
Let t be (-468)/585*(-1315)/8 + -19. Determine u, given that 0 - 3*u**2 + t*u**3 + 0*u = 0.
0, 2/75
Let c = 122653/98116 + -2/24529. Suppose -7*n + 2*y + 118 = -2*n, -4*n - 2*y + 98 = 0. Find s such that n*s + 21/2*s**2 + c*s**3 + 8 = 0.
-4, -2/5
Let w(h) = -7*h**2 - 35*h - 64. Let q(y) = -15*y**2 - 71*y - 128. Suppose 0 = -5*u - 257 + 47. Let n be (u/4 + 0)*8/12. Let l(v) = n*w(v) + 3*q(v). Factor l(z).
4*(z + 4)**2
Let f = 6151/472590 + -10/5251. Let s(h) be the third derivative of -f*h**5 + 0*h + 0 - 25/9*h**3 - 24*h**2 + 5/18*h**4. Factor s(i).
-2*(i - 5)**2/3
Let h = -1/87121 - -2787875/261363. Factor -2/3*j**4 - h*j**2 - 32/9 + 32/3*j + 40/9*j**3.
-2*(j - 2)**3*(3*j - 2)/9
Let 0*f + 7/3*f**3 - 1/6*f**4 + 0 + 5/2*f**2 = 0. What is f?
-1, 0, 15
Factor 2/11*s**3 - 38/11*s - 20/11 - 16/11*s**2.
2*(s - 10)*(s + 1)**2/11
Suppose 3664*c + 24 = 3676*c. Let v(d) be the first derivative of 1/20*d**5 + 0*d**c - 1/16*d**4 + 6 + 0*d**3 + 0*d. Factor v(n).
n**3*(n - 1)/4
Let o(y) be the first derivative of -7*y**6/24 + 33*y**5/20 - 5*y**4/16 - 113*y**3/12 + 18*y**2 - 13*y - 2128. Find k, given that o(k) = 0.
-2, 1, 26/7
Let z(s) be the second derivative of -9*s**5/80 + 65*s**4/16 - 23*s**3/2 - 60*s**2 - 3438*s. Determine p, given that z(p) = 0.
-1, 8/3, 20
Let k(g) = 2*g + 18. Let t be k(-8). Let l(v) be the first derivative of 3*v**3 + 3*v**2 - 19 - v**2 - 12*v - 4*v**3 + 4*v**t. Factor l(f).
-3*(f - 2)**2
Let k(c) be the third derivative of -c**6/480 - 17*c**5/80 + 111*c**4/32 - 171*c**3/8 + 3*c**2 - 23. Factor k(m).
-(m - 3)**2*(m + 57)/4
Let h(p) be the third derivative of -p**7/315 + p**6/90 + p**5/90 - p**4/18 - 2*p**2 - p - 92. Determine z so that h(z) = 0.
-1, 0, 1, 2
Suppose -3*w = -3 - 0, -5*v + 5*w - 40 = 0. Let u be -12*v/((-105)/(-9)). Factor 18/5*a**3 + 3/5*a**4 + u*a**2 + 0 + 24/5*a.
3*a*(a + 2)**3/5
Let y = 164 - 167. Let k(w) = 5*w**3 + 20*w**2 + 15*w - 2. Let c(j) = -6*j**3 - 21*j**2 - 15*j + 3. Let f(t) = y*k(t) - 2*c(t). Solve f(r) = 0.
-5, -1, 0
Let 3/5*u**2 - 1701/5 - 1698/5*u = 0. What is u?
-1, 567
Let p = 4171/7 + -593. Let c be 16/(-2) - ((-776)/42 - -3)*(-3108)/(-5180). What is i in 2/7 - 12/7*i**4 + 11/7*i + c*i**5 + 10/7*i**2 - p*i**3 = 0?
-1, -1/3, 1, 2
Let j(r) be the third derivative of -r**9/3780 + r**8/420 - r**7/126 + r**6/90 - 3*r**4/4 + 25*r**2 + r. Let x(l) be the second derivative of j(l). Factor x(n).
-4*n*(n - 2)*(n - 1)**2
Let i = -2512 + 2516. Suppose 0*t**3 - 6/7*t**i - 2/7*t**5 + 0 + 0*t + 8/7*t**2 = 0. What is t?
-2, 0, 1
Let b(w) = 7*w**3 - 243*w**2 + 3357*w + 7691. Let o(s) = 76*s**3 - 2672*s**2 + 36924*s + 84600. Let j(c) = 32*b(c) - 3*o(c). Factor j(y).
-4*(y - 31)**2*(y + 2)
Let p(n) be the third derivative of n**7/42 - n**6/8 - 3*n**5/4 - 25*n**4/24 - 54*n**2 + 11*n. Solve p(y) = 0 for y.
-1, 0, 5
Let m(t) = -4*t**3 - 652*t**2 + 621*t - 5737. Let r be m(-164). Factor -94/5*i**4 - 12096/5*i**2 + 41472/5 - 2/5*i**5 - 27648/5*i - 1632/5*i**r.
-2*(i - 1)*(i + 12)**4/5
Factor 8*q**3 - 1908*q**2 + 4800 - 681*q + 223*q - 4*q**4 - 2262*q - 176*q**3.
-4*(q - 1)*(q + 3)*(q + 20)**2
Let y(b) be the second derivative of b**6/60 + 7*b**5/30 - b**4/12 - 7*b**3/3 + 149*b**2/2 + 204*b. Let j(s) be the first derivative of y(s). Factor j(v).
2*(v - 1)*(v + 1)*(v + 7)
Let n(h) be the second derivative of -3*h**5/140 - 5*h**4/7 - 33*h**3/14 + 81*h**2/7 + 1400*h. Solve n(r) = 0.
-18, -3, 1
Let t(r) be the second derivative of -2187*r**4/14 - 108*r**3/7 - 4*r**2/7 - 1208*r. Factor t(k).
-2*(81*k + 2)**2/7
Factor -2/11*m**3 - 10/11*m - 16/11*m**2 + 28/11.
-2*(m - 1)*(m + 2)*(m + 7)/11
Determine p so that -44*p**4 - 48*p - 73*p**2 + 45*p**2 + 15*p**5 + 188*p**4 + 195*p**3 + 46*p**2 = 0.
-8, -1, 0, 2/5
Let b(h) be the first derivative of -h**3/15 + 533*h**2/5 - 284089*h/5 + 1531. What is y in b(y) = 0?
533
Let s be -7 + 2 - 116143/(-23236). Let o = s - -7543/4396. Solve -o*k**4 + 32/7*k + 16/7 - 32/7*k**3 - 4/7*k**2 = 0.
-2, -1, -2/3, 1
Suppose -7*l + 10*l + 5*u = 0, 4*l = 2*u. Let n(f) be the second derivative of 0*f**3 + l*f**2 - 1/90*f**5 + 12*f + 0 - 1/54*f**4. Let n(p) = 0. Calculate p.
-1, 0
Let j be (-24)/(-60) - 268/720. Let g(i) be the second derivative of 0 - j*i**4 - 41*i - 8/3*i**2 - 4/9*i**3. Factor g(s).
-(s + 4)**2/3
Let n be 1 - 717/2 - (-134)/268. Let m = 4643/13 + n. Suppose -m*s**2 - 6/13 - 8/13*s = 0. Calculate s.
-3, -1
Let f(k) be the first derivative of k**6/18 + 109*k**5/15 - 187*k**4/4 + 1019*k**3/9 - 398*k**2/3 + 76*k + 3052. Suppose f(r) = 0. Calcula