f, given that v(f) = 0.
0, 2
Let a(c) be the second derivative of -25/6*c**3 - 5*c - 1/3*c**6 + 0*c**2 - 35/6*c**4 - 3*c**5 + 5/42*c**7 - 17. Factor a(d).
5*d*(d - 5)*(d + 1)**3
Suppose 0 = 3*j + 6, -y = j - 0*j - 11. Suppose 7*w - 2*w - y = -v, -7 = -5*w - 4*v. Determine n so that 0*n - 6*n - 5*n**2 + w*n - 2 + 4*n**2 = 0.
-2, -1
Let r(a) be the third derivative of -a**6/3060 + 4*a**5/255 + 259*a**3/6 + 88*a**2 + 1. Let m(b) be the first derivative of r(b). Factor m(l).
-2*l*(l - 16)/17
Let o(x) be the second derivative of 18 + 11/3*x**4 - 7*x**3 + 0*x**2 - 1/10*x**5 - x. Factor o(s).
-2*s*(s - 21)*(s - 1)
Let p(s) be the third derivative of s**5/330 - 889*s**4/66 + 790321*s**3/33 + 6721*s**2. Factor p(l).
2*(l - 889)**2/11
Let k = 1440 + -1440. Let c(q) be the second derivative of 3/140*q**5 + k - 2/7*q**3 + 9*q - 1/210*q**6 + 4/7*q**2 + 1/42*q**4. Let c(j) = 0. Calculate j.
-2, 1, 2
Let a(h) be the third derivative of -h**8/2016 - h**7/3 - 245*h**6/4 + 2052*h**2 + 2*h. Suppose a(d) = 0. What is d?
-210, 0
Let d(c) be the first derivative of c**3/6 - 19*c**2/2 - 40*c - 424. Determine b, given that d(b) = 0.
-2, 40
Let x(h) = 4*h + 45. Let b be x(-10). Factor -5*k**b - 16*k**2 + 7*k**2 - 25*k**4 - 11*k**2 - 40*k**3.
-5*k**2*(k + 1)*(k + 2)**2
Let z(u) be the second derivative of -24/7*u**3 + 0 - 2/7*u**4 + 24*u - 10*u**2 - 1/105*u**5. Let x(v) be the first derivative of z(v). Solve x(k) = 0 for k.
-6
Let q = 400 - 2399/6. Let j(a) be the first derivative of 1/20*a**5 + 0*a + 0*a**2 - 1/16*a**4 - 41 - q*a**3. Let j(z) = 0. Calculate z.
-1, 0, 2
Let h(s) be the first derivative of -85*s**2 + 1445*s - 73 + 5/3*s**3. Solve h(w) = 0.
17
Let m(u) be the first derivative of 3*u**5/5 + 45*u**4/4 + 46*u**3 - 144*u**2 - 384*u + 2587. Find f such that m(f) = 0.
-8, -1, 2
Factor 11/2*z**3 + 25/2 - 109/2*z**2 + 265/2*z.
(z - 5)**2*(11*z + 1)/2
Suppose -9*q - 61 = -97. Factor 5*n**5 + q*n**5 - 9*n**4 + 9*n**2 - 17*n**3 + 16*n**4 - 8*n**5.
n**2*(n - 1)**2*(n + 9)
Let w be (-6)/(-69) + (-43111)/(-1748). Factor -3/4 - 12*y**4 - 15/2*y - w*y**2 - 30*y**3.
-3*(y + 1)**2*(4*y + 1)**2/4
Factor -64*j + 2/11*j**2 + 5632.
2*(j - 176)**2/11
Let u be ((0/5)/3)/(2 - 0). Let w(j) be the second derivative of -2/5*j**2 - 5*j + u + 1/5*j**3 - 1/30*j**4. Let w(c) = 0. Calculate c.
1, 2
Let m(p) be the first derivative of -2*p**3 - 951*p**2/4 - 237*p/2 - 1491. Factor m(j).
-3*(j + 79)*(4*j + 1)/2
Let w = -88 - -41. Let f = -45 - w. Factor 0*m - f*m**2 + 6*m + 13 + 4 + 3.
-2*(m - 5)*(m + 2)
Let h(o) be the second derivative of o**5/10 + 30*o**4/7 - 52*o**3/21 + 2*o - 107. Factor h(d).
2*d*(d + 26)*(7*d - 2)/7
Let f(z) be the first derivative of -z**8/8400 - z**7/840 - z**6/450 + 23*z**3/3 - 6. Let m(x) be the third derivative of f(x). Factor m(p).
-p**2*(p + 1)*(p + 4)/5
Let d(s) be the first derivative of -4*s**3/57 + 73*s**2/19 - 210*s/19 + 1709. Factor d(b).
-2*(b - 35)*(2*b - 3)/19
Suppose r = 3*r + 264. Let h be (-34)/r + 12/(-132). Factor 1/2*z**4 - h*z**5 + 0 + 0*z + 1/6*z**2 - 1/2*z**3.
-z**2*(z - 1)**3/6
Let g = 351 - 490. Let x = 141 + g. Let 0 + 20/3*l**x - 4/3*l - 3*l**3 = 0. What is l?
0, 2/9, 2
Determine z so that 137/8*z**2 + 279/8*z + 21/8*z**3 + 81/4 + 1/8*z**4 = 0.
-9, -2, -1
Let z(k) be the second derivative of -k**10/30240 + k**9/15120 + 7*k**4/12 + 52*k. Let b(h) be the third derivative of z(h). Factor b(u).
-u**4*(u - 1)
Let s(m) be the second derivative of 0 - 1369*m**2 - 189*m - 1/6*m**4 + 74/3*m**3. Determine r, given that s(r) = 0.
37
Factor -4/7*x**3 - 452/7*x - 360/7 - 96/7*x**2.
-4*(x + 1)*(x + 5)*(x + 18)/7
Suppose -5*u + 11 = -4. Suppose -9 + u = -3*c. Let 5*g**4 - 4*g**2 - 5*g + 19*g**c + 5*g**4 - 15*g**3 - 5*g**4 = 0. What is g?
0, 1
Let h = 102334 - 306998/3. Factor 8/3*b + h*b**3 + 32/3 - 20/3*b**2.
4*(b - 4)*(b - 2)*(b + 1)/3
Suppose 32 = -26*v + 28*v. Suppose v = 3*x - 2. Factor 5*t**2 + x - 6 - 53*t**2 - 3*t**4 - 24*t**3.
-3*t**2*(t + 4)**2
Suppose -65 = -i - 57. Let r be 8/(-4)*(0 + -11). Let 5*a + r*a**2 - 15*a**2 - 6 - i*a**2 = 0. What is a?
2, 3
Let v(s) be the second derivative of -s**7/14 - 37*s**6/30 + 219*s**5/20 - 319*s**4/12 + 12*s**3 + 34*s**2 + 694*s. Let v(u) = 0. What is u?
-17, -1/3, 1, 2
Let p(s) = s**2 + 206*s - 23614. Let z be p(82). Factor -4/21*h**3 + 800/21 + 2/21*h**4 + 80/21*h - 26/7*h**z.
2*(h - 5)**2*(h + 4)**2/21
Let m(l) be the second derivative of -l**7/399 - 11*l**6/285 - 9*l**5/38 - 85*l**4/114 - 74*l**3/57 - 24*l**2/19 - 333*l + 6. Solve m(y) = 0 for y.
-4, -3, -2, -1
Let s(i) be the third derivative of i**8/112 - i**6/20 + i**4/8 + 2*i**2 - 782*i. Solve s(o) = 0 for o.
-1, 0, 1
Let d = -16552 + 16554. Let n(x) be the second derivative of -2/5*x**5 - 1/10*x**6 + 0*x**3 + 0 - 1/3*x**4 + 13*x + 0*x**d. Solve n(b) = 0 for b.
-2, -2/3, 0
Let y(c) be the third derivative of -3*c**6/140 - 8*c**5/105 + c**4/21 - c**2 - 471. Solve y(z) = 0.
-2, 0, 2/9
Factor -1743/4 - 3/4*o**2 - 873/2*o.
-3*(o + 1)*(o + 581)/4
Let y(f) be the first derivative of -9/4*f - 33/16*f**2 + 3/32*f**4 + 123 - 1/2*f**3. Find v, given that y(v) = 0.
-1, 6
Let l = -203 + 215. Suppose 4*x**2 + 188*x - 188*x + 4*x**2 + l*x**3 - 4*x**5 = 0. Calculate x.
-1, 0, 2
Let h(f) be the second derivative of 5*f**5/3 - 295*f**4 + 702*f**3 - 630*f**2 + 54*f + 2. Factor h(p).
4*(p - 105)*(5*p - 3)**2/3
Let x(i) be the third derivative of -49*i**8/16 - 1043*i**7/10 + 1379*i**6/10 + 688*i**5/5 - 56*i**4 - 88*i**3 - 88*i**2 + 8*i. Let x(j) = 0. What is j?
-22, -2/7, 2/7, 1
Let f(d) = -1085*d - 1083. Let v be f(-1). Suppose 1/5*w**v + 0 - w = 0. Calculate w.
0, 5
Let n(m) be the third derivative of -1/14*m**5 - 13/21*m**3 - 34*m**2 + 0 - 9/28*m**4 - 1/420*m**6 + 0*m. Determine t, given that n(t) = 0.
-13, -1
Let n(c) = -21*c**2 - 612*c - 83. Let t be n(-29). Let p(a) be the first derivative of -1/24*a**t + 3/4*a**2 + 5/6*a + 28 + 1/6*a**3. What is i in p(i) = 0?
-1, 5
Let f = -109334 - -109336. Factor -4/9 - 2/9*d**f - 2/3*d.
-2*(d + 1)*(d + 2)/9
Suppose -10 = -2*a + 41*m - 38*m, -4*a - m + 6 = 0. Let p(w) be the first derivative of -1/14*w**4 + 0*w**a - 2/21*w**3 - 1 + 0*w. Factor p(g).
-2*g**2*(g + 1)/7
Let y = 2364649/3 - 788215. Solve -224*l**2 + 0 + 100/3*l**3 - y*l**4 + 192*l = 0 for l.
0, 1, 12
Let -396*f**2 - 259*f**2 - 5*f**4 - 375*f + 70*f**2 - 120*f**3 - 435*f = 0. What is f?
-18, -3, 0
Let h = -5216 - -5218. Let g(v) be the third derivative of -1/96*v**4 - 18*v**h + 0*v + 0 - 1/240*v**5 + 1/12*v**3. Find j, given that g(j) = 0.
-2, 1
Factor 41*x**3 + 115*x**2 - 129*x + 3*x**4 + 146*x**2 - 106*x**3 - 70*x**3.
3*x*(x - 43)*(x - 1)**2
Let p(j) = 15*j**3 - 46*j**2 - 8*j + 25. Let k(w) = -8*w**3 + 22*w**2 + 4*w - 10. Let c(i) = 10*k(i) + 4*p(i). Factor c(t).
-4*t*(t - 2)*(5*t + 1)
Let z(k) be the first derivative of 3/14*k**4 + 3/7*k**2 + 4/7*k**3 + 0*k + 93. Factor z(w).
6*w*(w + 1)**2/7
Let z(s) be the second derivative of -3*s**5/20 + 1829*s**4/4 - 4160*s. Determine u, given that z(u) = 0.
0, 1829
Let u(i) be the second derivative of -i**6/320 - 3*i**5/160 - i**4/32 + 13*i**2 - 12*i. Let l(z) be the first derivative of u(z). Factor l(b).
-3*b*(b + 1)*(b + 2)/8
Suppose 65 = 15*t + 35. Let k(z) = -z + 12. Let x be k(6). Determine r so that -8*r - t*r**2 + 2*r**4 - 3*r + 7*r - 2*r**5 + x*r**3 = 0.
-1, 0, 1, 2
Let a(u) be the third derivative of 0*u**4 + 0*u**5 + 0 + 1/260*u**6 + 0*u**3 + 57*u**2 + 2/1365*u**7 + 0*u - 1/2184*u**8. Suppose a(h) = 0. Calculate h.
-1, 0, 3
Let p(i) = 13*i**2 - 933*i - 214. Let g be p(72). Find z, given that 2/17*z**g + 80/17*z + 800/17 = 0.
-20
Let i = 4 - 4. Let r be (0 - 4/8) + ((-655)/60 + 11)*6. Factor i*q**2 - 8/7*q + 6/7*q**3 + 2/7*q**4 + r.
2*q*(q - 1)*(q + 2)**2/7
Let g(b) be the first derivative of -b**3/18 - 274*b**2 - 450456*b + 5577. Factor g(s).
-(s + 1644)**2/6
Let j be (-9272)/456 + 46/2. Let z(k) be the first derivative of 8/15*k**5 - 1/18*k**6 - 11/6*k**4 + j*k**3 - 3/2*k**2 - 44 + 0*k. Let z(d) = 0. Calculate d.
0, 1, 3
Let k(f) = -13*f**3 + 60*f**2 + 153*f + 78. Let h(j) = -54*j**3 + 240*j**2 + 615*j + 312. Let m(n) = 2*h(n) - 9*k(n). Find w such that m(w) = 0.
-1, 26/3
Suppose -5*u - 15*a + 12*a = -3165, 2*u - 3*a = 1266. Factor 321*v - u*v - 4*v**2 + 320*v.
-4*v*(v - 2)
What is x in 0 + 3*x**3 - 20/3