 - 448/3*o**4 + 120 + 5/3*o**5 + 1436/3*o = 0. What is o?
-1, -2/5, 2, 90
Let u(h) be the second derivative of 11/9*h**3 + 6*h - 5 - 121/3*h**2 - 1/72*h**4. Find r, given that u(r) = 0.
22
Solve -w**4 - 1023 - 160 - 422*w**2 - 417*w**2 - 1534*w + 455*w**2 - 34*w**3 = 0 for w.
-13, -7, -1
Let n(k) = -5*k**2 - 495*k + 47*k**2 - 585 + 1137*k. Let h(f) = 5*f**2 + 80*f - 73. Let j(s) = -33*h(s) + 4*n(s). Factor j(q).
3*(q - 23)*(q - 1)
Determine d so that 5060/3*d**2 + 1684*d**3 + 0 + 1688/3*d - 4/3*d**5 + 1676/3*d**4 = 0.
-1, 0, 422
Let r = -791 - -811. Suppose -r*g + 26 = -7*g. Factor 2/9*w - 2/9*w**g + 4/9.
-2*(w - 2)*(w + 1)/9
Let z be (71/(-20) + 4)/((480/225)/32). Factor 0 - 13/2*o**2 - z*o + 1/4*o**3.
o*(o - 27)*(o + 1)/4
Let y(h) be the third derivative of -h**6/24 + 441*h**5 - 1944810*h**4 + 4574193120*h**3 - 3*h**2 - 9*h + 27. Suppose y(o) = 0. Calculate o.
1764
Let b(w) be the second derivative of w**6/75 - 27*w**5/50 + 97*w**4/30 - 39*w**3/5 + 46*w**2/5 - 95*w. Find g, given that b(g) = 0.
1, 2, 23
Let d(l) = 3*l**3 + l**2 + 2*l + 1. Let f(m) = 14*m**3 - 485*m**2 - 60502*m - 119067. Let s(i) = 15*d(i) - 3*f(i). Find r such that s(r) = 0.
-244, -2
Let p(c) = 84*c**2 + 20*c - 6 - 19 - 89*c**2. Let u(x) = x**2. Let k(v) = -p(v) - 10*u(v). Factor k(n).
-5*(n - 1)*(n + 5)
Suppose 544 = 19*w + 468. Let v be 2/4*(2 + 10). Suppose -54*q**2 + v + 12*q**3 + 4*q + 4*q - 27*q**5 + 7*q + 48*q**w + 0*q = 0. What is q?
-1, -2/9, 1
Suppose 6*s - 3*i = 4*s + 20, 0 = -s - i. Find z such that -z - 2*z**3 + 4*z + 3*z**2 - z**s + 13 - 9 + 5*z = 0.
-2, -1, 2
Let j(s) be the third derivative of -2*s**7/315 - 23*s**6/15 - 91*s**5/15 - 68*s**4/9 + 1833*s**2. Suppose j(p) = 0. What is p?
-136, -1, 0
Factor 1120/3*g + 313600/3 + 1/3*g**2.
(g + 560)**2/3
Let z = 8557/26481 - -90/8827. Let -z*v**5 + 0 - 4*v**4 + 11/3*v + 4*v**2 - 10/3*v**3 = 0. Calculate v.
-11, -1, 0, 1
Let o be (0 + -2)*380/(-665). Factor 2/7*a**3 - o*a**2 + 0 + 8/7*a.
2*a*(a - 2)**2/7
Let -10 + 46787405/2*o**3 + 11763185/2*o**4 - 1059345/2*o**2 + 7975/2*o = 0. What is o?
-4, 1/133
Suppose 15*q - 18 - 41 + 14 = 0. Determine s so that -3/5*s + 1/5*s**2 - 2/5 + 3/5*s**q + 1/5*s**4 = 0.
-2, -1, 1
Let b = -87/1654463 + 9633172117/16897030619. Let h = 2/1459 + b. Determine n so that h + 1/7*n**2 - 5/7*n = 0.
1, 4
Factor 1/6*u**2 - 97/2 + 145/3*u.
(u - 1)*(u + 291)/6
Suppose 27 = 3*n, 5*d = n - 10 + 11. Factor -16/3*p**d - 32/3 - 40/3*p - 2/3*p**3.
-2*(p + 2)**2*(p + 4)/3
Factor 124*f**3 + 6*f**5 - 245*f**2 - 1612*f**3 + 488*f**2 - 3*f**5 + 363*f**4 + 1257*f**2.
3*f**2*(f - 2)**2*(f + 125)
Let l = -414/19 + 2089/95. Let u = -124/5 + 25. Solve -l*w**2 + u*w + 0 = 0 for w.
0, 1
Let m(w) be the third derivative of 0 + 0*w**3 - 6*w**2 + 0*w**4 + 2*w - 2/15*w**5 + 1/60*w**6. Solve m(l) = 0.
0, 4
Let l be 75/200*27/(1053/208). Factor 1/3*z**3 + 10/3*z + 11/3*z**l + 0.
z*(z + 1)*(z + 10)/3
Let j(z) be the first derivative of z**4/12 - z**3/3 - 289*z**2/6 - 95*z + 486. Factor j(k).
(k - 19)*(k + 1)*(k + 15)/3
Let l be -2*(-1 - -2)*(-2)/(-4). Let r be l + 82/26 - 300/1950. What is p in 4/3 + 11/6*p**3 - 1/3*p**r + 1/6*p**5 - p**4 - 2*p = 0?
-1, 1, 2
Let n(o) = -o**3 - 6*o**2 - 3*o - 3. Let v be n(-6). Suppose v*y + 20 = 80. Solve 0*r**3 - 3*r - 6*r**2 + 4*r**2 + r**3 + y*r**2 = 0.
-3, 0, 1
What is y in -2*y**3 - 2/15*y**4 + 64/15*y + 0 + 12/5*y**2 = 0?
-16, -1, 0, 2
Let c = -1386 - -1392. Suppose -2*x = 5*j - 6, -2*j + 4*x = c*x. Factor -8/9*p + 2/9*p**j + 0.
2*p*(p - 4)/9
Suppose 12/5*u + 154/15 + 2/15*u**2 = 0. Calculate u.
-11, -7
Let l(s) be the second derivative of 3*s**5/140 + 71*s**4/28 + 1419*s**3/14 + 16335*s**2/14 - 101*s. Factor l(r).
3*(r + 5)*(r + 33)**2/7
Let w(k) be the second derivative of -60*k - 1/20*k**4 - 3/10*k**3 + 6/5*k**2 + 0. Factor w(m).
-3*(m - 1)*(m + 4)/5
Let c(g) be the third derivative of -g**5/30 + 883*g**4/3 - 3118756*g**3/3 + 4556*g**2. Factor c(r).
-2*(r - 1766)**2
Let a be (-6)/(-21)*1 + (-209)/(-77). Factor 2339*l**2 - 4*l**4 - 2339*l**2 + 45*l**a + 123*l**3.
-4*l**3*(l - 42)
Let u(k) = -k**3 + 13*k**2 + 15*k + 11. Let r be u(14). Factor 60*s - 25*s**2 - 24 - 4*s**2 - 3*s**4 - r*s**2 + 21*s**3.
-3*(s - 2)**3*(s - 1)
Let u(n) = -5*n + 12. Let v be u(0). Factor 9*w + 6*w - v*w**2 + 8*w**2 + 7*w**2.
3*w*(w + 5)
Let x(g) = -14*g**3 + 683*g**2 - 168*g - 6. Let l(o) = -68*o**3 + 3412*o**2 - 840*o - 28. Let j(q) = -3*l(q) + 14*x(q). Determine p so that j(p) = 0.
0, 1/4, 84
Let 985*s**2 - 491*s**2 - 1280*s - 499*s**2 + 2580 = 0. What is s?
-258, 2
Let p = 4/10051 - -120592/50255. Let z(f) be the second derivative of -p*f**2 - f**3 + 0 + 22*f - 1/10*f**4. Find u such that z(u) = 0.
-4, -1
Let n = 42 + -39. Suppose -n + 150 = 3*b. Find o such that 46*o**3 - b*o**3 + o**2 - o**2 = 0.
0
Suppose -2*t + 3*s = -32, -18 = -2*t - s - 2. Let z be (-12)/10*t/(-3). Factor -5*m**2 + 4*m**z + m**2 - 4*m + 237*m**3 - 233*m**3.
4*m*(m - 1)*(m + 1)**2
Let h be (4 + (1 - 66/12))*(-48)/40. Let r(q) be the first derivative of -18 - 2/15*q**3 - 4/5*q - h*q**2. Factor r(z).
-2*(z + 1)*(z + 2)/5
Factor -115*l - 36*l**2 + 488 + 4659*l - 2356*l.
-4*(l - 61)*(9*l + 2)
Let f(z) be the first derivative of 2*z**3/21 + 27*z**2/7 + 52*z/7 + 9418. Find m such that f(m) = 0.
-26, -1
Suppose 0*p = 9*p - 18. Let t be (6/p)/(-3)*-2. Find n such that -4*n**4 + 2*n**3 - 4*n**3 - 3*n**2 + 7*n**t + 3*n - 3*n**5 + 2*n**5 = 0.
-3, -1, 0, 1
Let k = 379 + -377. Determine l so that 0*l - 3*l + l**k - 3 - 2*l**2 - l = 0.
-3, -1
Let n be 261/(-290) + ((-270)/(-72))/((-2)/4 - -3). Factor n*k**4 + 0*k**3 + 0*k + 0 - 3/5*k**2.
3*k**2*(k - 1)*(k + 1)/5
Let l(p) be the first derivative of p**4/18 - p**3/9 - 2*p**2/3 - 12*p - 158. Let o(r) be the first derivative of l(r). Find n, given that o(n) = 0.
-1, 2
Let a be (10/11)/((-4000)/(-11200)). Factor -2/11*v**2 - a*v - 98/11.
-2*(v + 7)**2/11
Let h = -79062 - -632497/8. Suppose -h*o**2 - 19/8*o + 5/2 = 0. Calculate o.
-20, 1
Let q be 0 - (-6)/(-140)*(-8)/18. Let h(w) be the third derivative of 0*w**3 + 0*w**5 + 0*w**6 + 0*w + 0 + 11*w**2 + 0*w**4 - 1/84*w**8 - q*w**7. Factor h(r).
-4*r**4*(r + 1)
Let u(b) be the second derivative of b**6/180 + b**5/4 + 71*b**3/6 + 58*b - 2. Let g(o) be the second derivative of u(o). Factor g(h).
2*h*(h + 15)
Let r be 496/(-2170)*252/(-16). Suppose r*n**3 + 938/5*n - 196/5 - 256/5*n**2 = 0. Calculate n.
2/9, 7
Let d be ((-10)/25)/(2/20) + 12. Let z be d/(-1)*1/(-2). Factor 2438*x**5 - 2439*x**5 + 3*x**z - 2*x**4.
-x**4*(x - 1)
Find r, given that -182*r**2 + 0 - 264*r - 2/3*r**4 - 100/3*r**3 = 0.
-44, -3, 0
Let z(w) be the third derivative of w**4/4 - 85*w**3/6 - 3*w**2 - 12. Let j be z(15). Let 0 - 1/4*l**3 - 5/4*l**j + 1/2*l**2 - 2*l**4 + 0*l = 0. What is l?
-1, 0, 2/5
Let m be 1/(1 + 0)*0. Let n(u) be the first derivative of m*u**2 + 0*u + 2/3*u**3 - 1. Factor n(i).
2*i**2
Factor 45*m**2 + 160 + 165*m + 5/4*m**3.
5*(m + 2)**2*(m + 32)/4
Let q be 8*(-2 + (-9)/(-6)). Let c = 8 + q. Suppose -2*o**3 + 4*o**2 - 2*o**2 + c*o - 5*o**2 + o**2 = 0. What is o?
-2, 0, 1
Let s be -6*6/(-21)*-7. Let l be (-339)/(-18) + (-2)/s. Determine b so that 2*b**3 + l*b + 1 - 5*b**2 - 7*b**3 - 14*b + 4 = 0.
-1, 1
Let n = -55 + 45. Let w be ((-14)/4)/(5/n). Suppose -z**4 + 3*z**5 - 7*z**3 + w*z**4 + 10*z**3 = 0. What is z?
-1, 0
Let f = -42/11 + 515/132. Let x(s) be the first derivative of 1/15*s**5 - 9 + f*s**4 + 0*s**3 + 0*s + 0*s**2. Find l such that x(l) = 0.
-1, 0
Determine p so that -22*p - 1/2*p**2 - 42 = 0.
-42, -2
Let y(s) = -241*s**2 + 1145*s. Let h(r) = 182*r**2 - 1145*r. Let u(x) = -4*h(x) - 3*y(x). Factor u(p).
-5*p*(p - 229)
Let k = 592 - 587. Suppose k*x + 2*p = 0, -p = 2*x + 2*p. Find t such that -5*t**4 - 2/3*t - 5*t**2 - 28/3*t**3 + x = 0.
-1, -2/3, -1/5, 0
Let s be 136/(-105) - -2 - 88/154. Let m(u) be the first derivative of 2/9*u**3 + 0*u + 0*u**2 + s*u**5 + 1/3*u**4 - 9. Factor m(k).
2*k**2*(k + 1)**2/3
Let q(p) be the first derivative of -2*p**3/27 - 31*p**2 - 556*p/9 - 4283. Let q(j) = 0. What is j?
-278, -1
Let x be ((-246)/(-1599))/(5/13). Determine i, given that -x*i**2 + 176/15*i + 8 = 0.
-2/3, 30
Let g(f) = -f**2 - f - 1. Let w(d) be the first derivative of -10*d + 33 + 5*d**2 + 8/3*d**3. Let v(i) = -6*g(i) - w(i). Solve v(z) = 0 for z.
-4, 2