 the third derivative of c**6/40 + 9*c**5/20 + 15*c**4/8 + 7*c**3/2 + 118*c**2. Factor d(i).
3*(i + 1)**2*(i + 7)
Let s be (-6)/27 + (-390)/(-54). Factor -7 + 2 - 2*i**2 + 4*i**3 - i**5 + s - 3*i.
-(i - 1)**3*(i + 1)*(i + 2)
Let k(n) be the second derivative of -1/7*n**4 - 2/7*n**2 - 8/21*n**3 + 15*n + 0. Determine h so that k(h) = 0.
-1, -1/3
Let i(p) be the second derivative of p**6/105 - 348*p**5/35 + 30276*p**4/7 - 7024032*p**3/7 + 916636176*p**2/7 + 235*p. Suppose i(n) = 0. What is n?
174
Let t(p) = 3*p**3 - 37*p**2 + 286*p + 322. Let n(h) = -7*h**3 + 75*h**2 - 571*h - 643. Let u(m) = -2*n(m) - 5*t(m). Factor u(c).
-(c - 18)**2*(c + 1)
Let m be (-8)/18*11/((-110)/15). Determine p so that -2/3*p**3 - 22/3*p + 6*p**2 - m*p**4 + 8/3 = 0.
-4, 1
Suppose a - 130 = 6*a. Let k = -15 - a. Factor -4*i**2 - 6*i**4 + 2*i**5 - 2*i - i**4 + k*i**4.
2*i*(i - 1)*(i + 1)**3
Let u(d) be the first derivative of d**6/21 - 4*d**5/5 - 5*d**4/2 + 88*d**3/21 + 68*d**2/7 - 128*d/7 + 324. Find i, given that u(i) = 0.
-2, 1, 16
Let -2*h - 3*h**3 + 702*h**5 - 706*h**5 - 21*h**3 + 17*h**4 + 13*h**2 = 0. Calculate h.
0, 1/4, 1, 2
Let w(a) be the first derivative of a**7/504 + a**6/54 - a**5/72 - 5*a**4/18 + 2*a**3 + 21. Let o(l) be the third derivative of w(l). Factor o(j).
5*(j - 1)*(j + 1)*(j + 4)/3
Let d = -111 - -113. Let i(g) be the second derivative of 0 - 3/5*g**5 - 2*g**3 + d*g + 1/10*g**6 + 3/2*g**2 + 3/2*g**4. Determine p, given that i(p) = 0.
1
Let j be 7 + 4*(-9)/4 + 36/13. Factor 18/13*p - 6/13*p**2 - j - 2/13*p**3.
-2*(p - 1)**2*(p + 5)/13
Let q(m) be the first derivative of 3*m**5/10 + 105*m**4/8 + 429*m**3/2 + 6171*m**2/4 + 3993*m - 504. Factor q(c).
3*(c + 2)*(c + 11)**3/2
Suppose -7*u + 11*u = 32. Suppose 5*z**4 + u - 10*z**2 + 1 + 0 - 4 = 0. What is z?
-1, 1
Let c(q) be the second derivative of -q**4/42 + 3*q**3/7 - 8*q**2/7 - 8*q - 3. Factor c(y).
-2*(y - 8)*(y - 1)/7
Find j, given that -9/4 - 15/8*j**2 - 51/8*j = 0.
-3, -2/5
Let n(w) be the first derivative of 289*w**3/12 - 204*w**2 + 576*w - 316. Factor n(l).
(17*l - 48)**2/4
Let a = 234 + -209. Suppose -3*t + 84 = a*t. Let -3/2*g**5 + 0*g**4 + 0 + t*g**2 + 0*g + 9/2*g**3 = 0. Calculate g.
-1, 0, 2
Let o be (6/(-15))/((-1)/(-5)). Let y = 1 - o. Factor -3*h - 2*h**4 - 6*h**3 + 2*h**4 + 6*h + y*h**5.
3*h*(h - 1)**2*(h + 1)**2
Suppose 92/7*g**2 - 2/7*g**3 + 94/7*g + 0 = 0. What is g?
-1, 0, 47
Let y(q) be the second derivative of -11*q**6/10 + 27*q**5/2 - 247*q**4/4 + 120*q**3 - 54*q**2 - 323*q. Suppose y(p) = 0. What is p?
2/11, 2, 3
Factor -13*y**3 - 20*y**2 - 81*y**4 - 92*y**4 - 15*y**3 + 176*y**4.
y**2*(y - 10)*(3*y + 2)
Let q(t) be the second derivative of -t**6/150 + t**5/25 - t**4/60 - t**3/5 + 193*t. Determine k so that q(k) = 0.
-1, 0, 2, 3
Let x be (-11)/(55/(-30)) + 893/(-152). Let y(q) be the first derivative of x*q**4 + 8 + q + 2/3*q**3 + 5/4*q**2. Suppose y(c) = 0. What is c?
-2, -1
Let t(x) be the first derivative of -3*x**4/4 - 4*x**3 - 6*x**2 + 167. Factor t(r).
-3*r*(r + 2)**2
Let l(m) = -m**2 - 170*m + 1439. Let z(t) = t**2 + 340*t - 2879. Let c(s) = -11*l(s) - 6*z(s). Determine q so that c(q) = 0.
17
Let d(z) be the first derivative of -18/5*z**5 + 1 - 6*z**2 + 2*z + 3*z**4 + 16/3*z**3. What is i in d(i) = 0?
-1, 1/3, 1
Suppose 146 = p + 138. What is r in 12/7*r**5 + 92/7*r**3 + 16/7*r - 64/7*r**2 - p*r**4 + 0 = 0?
0, 2/3, 1, 2
Let z(v) be the third derivative of -v**8/16800 - v**7/1050 - v**6/150 - 2*v**5/75 - v**4/4 + 11*v**2. Let u(w) be the second derivative of z(w). Factor u(i).
-2*(i + 2)**3/5
Suppose -266 = -1112*a + 979*a. Factor -16/17*q**a - 2/17*q**3 + 0 + 0*q.
-2*q**2*(q + 8)/17
Let l(f) be the first derivative of 2*f**5/9 + 53*f**4/18 + 356*f**3/27 + 160*f**2/9 - 64*f/3 + 483. Determine j so that l(j) = 0.
-4, -3, 2/5
Let y(f) = f - 4. Let i be y(11). Let z = i - 4. Find p such that -p**5 - 3*p**5 + p**z + 3*p**5 = 0.
-1, 0, 1
Let k be 0*(12 + 69/(-6)). Solve k*u + 6 - 2/3*u**2 = 0 for u.
-3, 3
Let s(o) be the third derivative of -2*o**6/75 - o**5/30 + o**4/20 - 143*o**2. Factor s(z).
-2*z*(z + 1)*(8*z - 3)/5
Factor -73 + 35*s**2 - 49 - 23 - 550*s + 2 - 17.
5*(s - 16)*(7*s + 2)
Let u(d) = -d**4 - d**3 - d**2. Let n(b) = -5*b**4 - 5*b**3 + 7*b**2 + 3*b - 6. Let s be -3 - 5/(4 - 5). Let f(m) = s*u(m) - n(m). Factor f(p).
3*(p - 1)**2*(p + 1)*(p + 2)
Let k be 4/(2 + 2)*(-1345)/(-5). Let u = k + -1341/5. Solve -u*y + 0 - 4/5*y**2 = 0 for y.
-1, 0
Let a(u) = u**3 - u**2 + 2*u. Let q(v) = -5*v**5 - 26*v**4 - 58*v**3 - 36*v**2 - 33*v - 2. Let k(b) = -40*a(b) - 5*q(b). Determine n, given that k(n) = 0.
-2, -1, -1/5
Let x(j) be the second derivative of -1/150*j**6 + 11*j - 1/15*j**3 + 0*j**2 + 1/60*j**4 + 1/50*j**5 + 0. Determine u, given that x(u) = 0.
-1, 0, 1, 2
Let b(f) be the third derivative of -f**7/350 + f**6/100 + f**5/100 - f**4/20 - 4*f**2 - 2*f. Factor b(i).
-3*i*(i - 2)*(i - 1)*(i + 1)/5
Let u(t) = 2*t + 7. Let w be u(-2). Factor 2*x**2 + 2*x**2 - 3*x**w - x**3.
-4*x**2*(x - 1)
Let l(s) = -s**2 - 22*s - 26. Let j be l(-18). Let o = j + -218/5. Factor -o + 24/5*t + 3/5*t**3 - 3*t**2.
3*(t - 2)**2*(t - 1)/5
Solve 4/7*j**5 + 0 + 152/7*j**2 - 52/7*j**3 - 96/7*j - 8/7*j**4 = 0.
-4, 0, 1, 2, 3
Factor -11/2*w**2 - 10*w**3 + 0 - 3/2*w**4 + 3*w.
-w*(w + 1)*(w + 6)*(3*w - 1)/2
Let c(a) = -3*a**2 - a + 6. Let y(d) = 24*d**2 + 9*d - 48. Let g be 490/15 - 4/(-12). Let z(q) = g*c(q) + 4*y(q). Let z(p) = 0. What is p?
-1, 2
Let -7 + 11/4*d - 1/4*d**2 = 0. Calculate d.
4, 7
Let c(o) be the first derivative of -25*o**3 - 10*o**2 - 4*o/3 + 3. Factor c(l).
-(15*l + 2)**2/3
Factor -2704/11 - 108/11*n**2 + 2/11*n**3 + 1560/11*n.
2*(n - 26)**2*(n - 2)/11
Let z(k) be the second derivative of -k**6/315 - 8*k**5/105 - 4*k**4/21 + 320*k**3/63 - 400*k**2/21 - 9*k + 2. Factor z(o).
-2*(o - 2)**2*(o + 10)**2/21
Suppose -s = 7*k - 3*k - 9, 4*k = -2*s + 14. Suppose -s*z = -q - q + 15, 5*q - 5*z = 15. Suppose -5*y + 3*y**2 + q*y - y**2 + y = 0. What is y?
0, 2
Let n(k) be the third derivative of 7*k**5/60 + k**4/4 - k**3/6 - 4*k**2. Let z(r) = 35*r**2 + 30*r - 5. Let g(j) = 11*n(j) - 2*z(j). Factor g(m).
(m + 1)*(7*m - 1)
Let x(h) = 28 - 5*h + 0*h**2 - h**2 - 7*h + h. Let l be x(-13). Suppose -24*w**l - 8 - 45*w**4 + 44*w**2 - 30*w**2 + 107*w**3 - 44*w = 0. Calculate w.
-2/5, -2/9, 1, 2
Let g(z) be the first derivative of z**4/32 + 5*z**3/12 + 25*z**2/16 + 46. Let g(b) = 0. Calculate b.
-5, 0
Let v(i) = 20*i**5 - 29*i**4 - i**3 - 5. Let w(p) = 10*p**5 - 15*p**4 - p**3 - 3. Let o be 15/(-6) - 2/4. Let h(a) = o*v(a) + 5*w(a). Solve h(m) = 0 for m.
0, 1/5, 1
Let s(l) be the third derivative of l**5/630 - 59*l**4/252 + 58*l**3/63 - 14*l**2 + 10. Solve s(g) = 0 for g.
1, 58
Let i be -3 - (-2279)/645 - (2 + (-28)/15). Factor 14/5*g + 16/5 - i*g**2.
-2*(g - 8)*(g + 1)/5
Let a(k) be the third derivative of -k**7/70 - k**6/96 + 5*k**5/24 + 5*k**4/24 - k**3/3 - 7*k**2 - 2*k. Find g, given that a(g) = 0.
-2, -2/3, 1/4, 2
Let l(v) be the third derivative of -v**7/735 + v**6/140 + v**5/30 - 9*v**4/28 + 6*v**3/7 - 564*v**2. Let l(r) = 0. Calculate r.
-3, 1, 2, 3
Let 5*y**5 - 21*y**4 - 4*y**5 - 21*y**3 + 15*y**4 + 5*y**4 + 41*y**2 - 20*y = 0. What is y?
-5, 0, 1, 4
Suppose h + 2448 = 5*n + 865, 0 = 2*n - 4*h - 644. Let d = -314 + n. Let 2/7*i**d - 4/7 + 2/7*i = 0. Calculate i.
-2, 1
Let h = 35186/22689 - -12/2521. Let 2/9*m**3 - h*m + 4/9*m**2 + 8/9 = 0. What is m?
-4, 1
Let a = 837 - 831. Let v(w) be the third derivative of 4/5*w**a + 8/3*w**4 + 1/84*w**8 + 0 + 0*w + 0*w**3 - 3*w**2 + 16/105*w**7 + 32/15*w**5. Factor v(h).
4*h*(h + 2)**4
Suppose 2*u - 5 = c, 124*c - 119*c = -3*u + 1. Factor 1/4*f**5 + 0*f + 0 + 2*f**u + 3/2*f**4 + 3*f**3.
f**2*(f + 2)**3/4
Let q(r) be the first derivative of 4/25*r**5 - 2/5*r**4 + 4/15*r**3 + 0*r - 26 + 0*r**2. Solve q(b) = 0.
0, 1
Let v(n) be the second derivative of 9*n**5/110 + 28*n**4/33 + 31*n**3/11 + 18*n**2/11 + 118*n. Factor v(a).
2*(a + 3)**2*(9*a + 2)/11
Let h(v) be the third derivative of 1/12*v**3 + 1/120*v**6 + 0*v + 6*v**2 + 5 - 1/16*v**4 + 1/672*v**8 - 1/140*v**7 + 1/60*v**5. Determine r so that h(r) = 0.
-1, 1
Let r(n) = n**2 + 1. Suppose 0 = 5*l - 13 + 3. Let f be r(l). Find v such that f*v**3 - 14*v**4 - 3*v**3 - v**3 + 13*v**4 = 0.
0, 1
Determine z, g