 second derivative of 2*p**7/21 - 4*p**6/5 - 2*p**5 + 20*p**4/3 + 6*p**3 - 28*p**2 + p + 385. Let g(t) = 0. Calculate t.
-2, -1, 1, 7
Let p(l) be the third derivative of 1/48*l**8 - 1/3*l**3 - 7/60*l**6 - 1/105*l**7 + 7/24*l**4 + 0 + 1/15*l**5 + 63*l**2 + 0*l. Solve p(d) = 0 for d.
-1, 2/7, 1
Let m(k) be the first derivative of -7*k**4 + 1240*k**3/3 - 6728*k**2 + 3744*k - 4944. Factor m(g).
-4*(g - 26)*(g - 18)*(7*g - 2)
Let f = 1422662/15 - 284230/3. Factor -3/5*i**2 + f*i - 21168/5.
-3*(i - 84)**2/5
Suppose -910 = -16*c + 42*c. Let a be ((-30)/(-8) + -3)/(c/(-56)). Factor 3/5*l**2 - 9/5 + a*l.
3*(l - 1)*(l + 3)/5
Let b = -4942 - -543623/110. Let a(t) be the second derivative of b*t**5 + 0 - 23*t - 1/33*t**4 - 1/33*t**3 + 0*t**2. Solve a(c) = 0.
-1/3, 0, 1
Let n(z) be the third derivative of z**7/210 - z**6/15 + 23*z**5/60 - 7*z**4/6 + 2*z**3 - 27*z**2 - 17. Suppose n(k) = 0. Calculate k.
1, 2, 3
Solve -55*f**2 + 269*f + 66*f + 448*f**2 - 252 + 134*f + 9*f**3 + 155*f = 0.
-42, -2, 1/3
Let u(j) be the first derivative of -j**4/26 + 658*j**3/39 - 27864*j**2/13 + 262440*j/13 + 11783. Solve u(q) = 0 for q.
5, 162
Let c be -1*1 - 30/20*-4. Suppose c*m + 5 = -3*y + 30, -m - 13 = -3*y. Let -10/3*l - 5/2 - 5/6*l**m = 0. Calculate l.
-3, -1
Let v(k) be the second derivative of 2*k**7/21 + 2*k**6/3 + 2*k**5/5 - 8*k**4/3 + 2483*k. Determine u so that v(u) = 0.
-4, -2, 0, 1
Let 2100/11*t**2 - 1006/11*t**3 - 416/11*t + 0 - 90/11*t**4 = 0. What is t?
-13, 0, 2/9, 8/5
Let j(h) be the first derivative of h**4/34 + 22*h**3/51 + 10*h**2/17 - 144*h/17 + 3271. Suppose j(m) = 0. What is m?
-9, -4, 2
Let h(v) = -v**3 - 3*v**2 + 5*v - 16. Let y be h(-5). Let i(q) be the third derivative of -y*q**3 + 0*q - 27*q**2 + 0 + 47/8*q**4 - 1/4*q**5. Factor i(z).
-3*(z - 9)*(5*z - 2)
Let k(o) be the second derivative of 0*o**2 + 4/27*o**4 + 874/135*o**6 + 1058/189*o**7 - 138*o - 88/45*o**5 + 0 + 0*o**3. Suppose k(y) = 0. What is y?
-1, 0, 2/23
Let d be 22/(-55)*25*(4 - 2). Let g be ((-44)/d - -1)*(-13)/(-52). Factor 2/5*p - 7/5*p**2 + g*p**4 - p**3 + 0.
p*(p - 2)*(p + 1)*(4*p - 1)/5
Let n be 25 + -1 + 16440/(-685). Determine d, given that 7/5*d + n + 1/5*d**2 = 0.
-7, 0
Let l(m) be the second derivative of -m**7/210 - 2*m**6/25 + 153*m**5/100 - 7*m**4/3 + 1563*m - 2. Find r, given that l(r) = 0.
-20, 0, 1, 7
Let d be 1*7/(35/(-5)). Let g(w) = -130*w**4 + 480*w**3 + 175*w**2 - 335*w + 80. Let t(j) = -j**4 + j**3 - j**2 + j. Let v(h) = d*g(h) + 5*t(h). Factor v(s).
5*(s - 4)*(s + 1)*(5*s - 2)**2
Suppose 53 = -9*s + 242. Let i be ((-2)/4)/(4/(-56)). Factor -s + 24 + i*l + 3*l**2 - l.
3*(l + 1)**2
Let l(d) = -16*d**4 + 38*d**3 + 150*d**2 - 470*d + 250. Let t(n) = 34*n**4 - 73*n**3 - 299*n**2 + 941*n - 499. Let r(x) = 13*l(x) + 6*t(x). Factor r(m).
-4*(m - 16)*(m - 1)**2*(m + 4)
Let n(j) = 30*j**3 + 60*j**2 + 640*j + 398. Let b(z) = 3*z**3 - 2*z**2 + 1. Let g(o) = 14*b(o) - n(o). Factor g(p).
4*(p - 12)*(p + 4)*(3*p + 2)
Let z(v) = 8 - 4*v**2 + 5*v**2 - 6*v - 22 - 25*v. Let t(m) = 5*m**2 - 125*m - 55. Let u(q) = 6*t(q) - 25*z(q). Find d, given that u(d) = 0.
-4, -1
Let y(p) be the second derivative of p**8/1008 - p**6/40 - p**5/45 + p**4/6 - 23*p**2 + 31*p - 1. Let g(b) be the first derivative of y(b). Factor g(j).
j*(j - 3)*(j - 1)*(j + 2)**2/3
Let w(i) = i**3 - i**2 - 29*i + 8. Let p be w(-5). Let o(g) be the first derivative of -10*g + 45/2*g**2 + 7*g**5 - 45/4*g**4 + 8 - 25/3*g**p. Factor o(c).
5*(c - 1)**2*(c + 1)*(7*c - 2)
Let u be (-12)/(-5) + (-22)/55. Factor 64*p**3 - 196*p**u - 7 + 15 - 244*p + 8.
4*(p - 4)*(p + 1)*(16*p - 1)
Let a be 29/319*(-2)/1642. Let q = a - -1372721/81279. Factor -44*t**2 - 16/9 - q*t - 18*t**3.
-2*(t + 2)*(9*t + 2)**2/9
Let a = 60645/4 + -15161. Suppose 2*d + 1 = -k + 2, 4*k = -4*d. Determine g so that g - 1/4*g**3 + d - a*g**2 = 0.
-2, -1, 2
Let q = -4439 - -93235/21. Let m(p) be the first derivative of -4/7*p**4 + 0*p + 0*p**2 + 4/35*p**5 + q*p**3 + 12. Factor m(o).
4*o**2*(o - 2)**2/7
Let g = 27742 - 55481/2. Let k(h) be the first derivative of 21/25*h**5 - g*h**2 - 6/5*h**3 + 3/10*h**6 - 3/5*h - 14 + 3/10*h**4. Find p such that k(p) = 0.
-1, -1/3, 1
Let y(i) be the first derivative of -21*i**2/2 - 168*i + 604. Let n be y(-8). Let 2/3*s - 2/3*s**3 + n - 2/3*s**4 + 2/3*s**2 = 0. What is s?
-1, 0, 1
Let b = 1155 - 1153. Let m(s) be the first derivative of -8*s - 6*s**b + 30 - 4/3*s**3. Suppose m(y) = 0. What is y?
-2, -1
Let z(w) = -19*w**3 + 447*w**2 + 2080*w - 36. Let x(o) = 15*o**3 - 335*o**2 - 1560*o + 28. Let t(f) = -9*x(f) - 7*z(f). Let t(s) = 0. Calculate s.
-52, -5, 0
Let r(t) = -7*t + 9. Let w be r(1). Let j = -717/4 + 723/4. Let -3/2*f + j*f**w - 3 = 0. Calculate f.
-1, 2
Let d(w) be the third derivative of -3/5*w**4 + 0 + 73*w + 37/15*w**3 - w**2 - 1/150*w**5. Factor d(o).
-2*(o - 1)*(o + 37)/5
Let f(l) be the first derivative of l**3/27 - 463*l**2/18 - 4786. What is u in f(u) = 0?
0, 463
Let -500/9*z**3 - 208/9*z**4 + 592/9*z - 88/9*z**2 - 20/9*z**5 + 224/9 = 0. Calculate z.
-7, -2, -2/5, 1
Let u(v) be the first derivative of -5*v**3 - 5*v + 5/4*v**4 + 15/2*v**2 + 286. Suppose u(i) = 0. What is i?
1
Let s(o) = -o**3 + 3*o**2 + 3*o - 5. Let k(v) = -2*v**3 + 5*v**2 + 6*v - 9. Suppose -5*x + 6 = -7*x. Let f = 0 - x. Let z(q) = f*k(q) - 5*s(q). Factor z(h).
-(h - 1)**2*(h + 2)
Let c = 5/1084 - 1003/188074. Let w = 11113/12492 + c. Factor -8/9 + w*d**2 - 4/9*d**3 + 4/9*d.
-4*(d - 2)*(d - 1)*(d + 1)/9
Let u = 6008/3 + -1998. Let y(q) be the first derivative of u*q**3 + 14 - 6/5*q**5 + 0*q + q**4 + 2*q**2. Find j such that y(j) = 0.
-1, -1/3, 0, 2
Let n = 9/1397 + -223/251460. Let f(p) be the second derivative of -1/60*p**5 - n*p**6 - 1/3*p**2 + 1/24*p**4 + 1/9*p**3 + 36*p + 0. Let f(r) = 0. Calculate r.
-2, 1
Let d(f) = -f**2 - 137*f + 844. Let o(r) = -r**2 - 143*r + 845. Let s(l) = 5*d(l) - 4*o(l). Find u, given that s(u) = 0.
-120, 7
Let u(a) = -a - 3. Let n be u(-6). Let p = 7297/13922 - 168/6961. Determine j, given that -p*j**2 - 1/8*j + 0 + 5/8*j**n = 0.
-1/5, 0, 1
Factor 1/2*s**2 + 10658 - 146*s.
(s - 146)**2/2
Let x(n) be the first derivative of -n**6/40 - n**5/20 + 14*n**2 + 37. Let f(l) be the second derivative of x(l). Factor f(o).
-3*o**2*(o + 1)
Determine l so that 1/6*l**2 + 0 + 1327/6*l = 0.
-1327, 0
Factor -80 + 2*t**2 - 210*t + 3*t**2 + 479*t - 194*t.
5*(t - 1)*(t + 16)
Determine k so that 28*k - 148*k**2 + 90*k**2 + 56*k**2 = 0.
0, 14
Let f = 417 + -430. Let o be 7/(-5) + f/(65/(-15)). Solve -6/5*g**4 + 0 - o*g + 0*g**2 + 14/5*g**3 = 0 for g.
-2/3, 0, 1, 2
Let p(w) = w**2 - w + 36. Let j(f) = 4*f**2 - 1609*f + 2331. Let s(z) = -j(z) - 2*p(z). Find l, given that s(l) = 0.
3/2, 267
Let z be 6/14 - ((-30000)/(-70))/(-8). Suppose -z = -10*f - 17*f. Solve 4/3*u**4 + 16/3 - 16*u - 8*u**3 + 52/3*u**f = 0.
1, 2
Let i = -54 - -65. Suppose 3*p - 1 = -l - i, 3*p = -12. Solve -k**l - 34*k**4 + 3*k**3 + 31*k**4 - 2 + k**5 + 2 = 0.
0, 1
Let l be (43 - 52) + (10 - -2). Let t(k) be the first derivative of 1/24*k**4 + 5/18*k**l + 4 + 0*k + 0*k**2. Factor t(p).
p**2*(p + 5)/6
Suppose -14*r - 13*r + 12663 = 0. Let p = r + -464. Factor 5/2*j - 25/4*j**2 + 15/4*j**3 - 5/4*j**p + 0 + 5/4*j**4.
-5*j*(j - 1)**3*(j + 2)/4
Let z(w) = -3*w**2 + 2*w + 3. Let k(n) = 37*n**2 - 107*n**2 + 38*n**2 - 5*n + 39*n**2 - 3. Let h(j) = 2*k(j) + 5*z(j). Factor h(b).
-(b - 3)*(b + 3)
Let a(t) be the first derivative of 0*t + 0*t**3 - t**4 + 4/5*t**5 + 0*t**2 + 64. Factor a(k).
4*k**3*(k - 1)
Let r(j) = -3*j**4 - 31*j**3 - 60*j**2 + 17*j + 81. Let f(d) = d**4 + d**3 + d + 1. Let q(p) = f(p) - r(p). Factor q(o).
4*(o - 1)*(o + 2)**2*(o + 5)
Let y(a) be the second derivative of -a**5/20 + a**4/8 + 55*a**2/2 + 38*a - 2. Let x(q) be the first derivative of y(q). Factor x(h).
-3*h*(h - 1)
Let j(l) be the second derivative of -l**7/42 + 21*l**6/5 - 61*l**5/5 - 42*l**4 + 496*l**3/3 + 6*l - 220. Determine z, given that j(z) = 0.
-2, 0, 2, 124
Suppose 32 + 443*f**2 - 190*f**2 + 22*f**3 - 4*f**3 + 168*f - 141*f**2 = 0. What is f?
-4, -2, -2/9
Let c be (-1128)/(-3948) + 24/14. Suppose -4/19*z + 2/19 + 2/19*z**c = 0. Calculate z.
1
Suppose -4*l = -3*c - 17, 6*l - 16 = 10*l. Let f(r) = r**2 + 28*r + 187. Let h be f(c). Factor -2/7*u + 2/7*u**2 + h.
2*u*(u - 1)/7
Let s(i)