b**2 - b - 6. Find f such that q(f) = 0.
980
Let d(g) be the second derivative of -5*g**4/48 + 55*g**3/12 - 81*g - 3. Suppose d(h) = 0. Calculate h.
0, 22
Let r(u) = 3*u**2 - 5*u - 4. Suppose 4*x - 12 = 0, 5*v + 5*x - 12 = 2*v. Let b be r(v). Factor -35*s**3 - 75*s**2 - 49*s - 5*s**b - 6 - 37*s + 21*s - 14.
-5*(s + 1)**3*(s + 4)
Suppose -319*h - 127*h = 110*h - 1668. Let g(s) be the first derivative of 1/8*s**4 - 1/3*s + 1/18*s**h + 1/30*s**5 - 1/4*s**2 + 19. Let g(z) = 0. What is z?
-2, -1, 1
Let r = 10/5657 - -130091/11314. Solve -3*h**3 + 1/4*h**4 + 25/4 - 15*h + r*h**2 = 0.
1, 5
Factor -49/5*q**2 + 1/5*q**3 - 2112/5 + 592/5*q.
(q - 33)*(q - 8)**2/5
Factor -35*k**3 - 37/5*k + 29*k**2 + 3/5.
-(5*k - 1)**2*(7*k - 3)/5
Let b(g) be the first derivative of -g**7/4200 + g**6/600 - g**5/300 - g**3 - 3*g**2 + 21. Let i(r) be the third derivative of b(r). Factor i(z).
-z*(z - 2)*(z - 1)/5
Let c(x) = -36*x**3 + 702*x**2 - 1422*x + 693. Let t(r) = -17*r**3 + 351*r**2 - 711*r + 347. Let s(k) = -10*c(k) + 21*t(k). Factor s(v).
3*(v - 1)**2*(v + 119)
Let p(z) be the first derivative of -32*z**6 + 154608*z**5/5 - 7766625*z**4 - 7785961*z**3 - 2922153*z**2 - 487227*z - 3769. Factor p(a).
-3*(a - 403)**2*(4*a + 1)**3
Let l(s) = s**3 + 3*s**2 - 3*s - 7. Let o be l(-2). Find k, given that -k**o + 9 - 12*k + 18*k**2 - 15*k - 6*k + 7 = 0.
1, 16
Let p = -172000/9 + 19112. Let v(k) be the first derivative of p*k**3 + 0*k - 1/12*k**2 - 8/3*k**4 - 6. Factor v(h).
-h*(8*h - 1)**2/6
Let y(j) be the first derivative of j**3 + 159*j**2/2 - 162*j + 727. Find f such that y(f) = 0.
-54, 1
Let y = 198288 + -198267. Solve 441 + y*q + 1/4*q**2 = 0.
-42
Let -172*g**3 - 21*g**4 + 458*g**2 - 669*g**2 + 4*g**5 + 451*g**2 - 51*g**4 = 0. What is g?
-3, 0, 1, 20
Let j = 5838 - 408659/70. Let b(w) be the second derivative of 1/14*w**4 + 0 - 18*w + 0*w**2 - j*w**5 + 0*w**3. Find a such that b(a) = 0.
0, 3
Let q = 69935669/964630 - -3/482315. Factor 135/4*g - 5/4*g**2 + q.
-5*(g - 29)*(g + 2)/4
Solve 861*r**2 - 3263*r - 665523 - 864*r**2 + 437*r = 0 for r.
-471
Let p(r) be the second derivative of 70*r - 7/12*r**4 + 0*r**2 + 0*r**3 + 0 + 1/20*r**5. Factor p(b).
b**2*(b - 7)
Let g(d) be the second derivative of 1/20*d**5 + 1/4*d**4 + 0*d**3 - 19*d + 6*d**2 + 0. Let o(n) be the first derivative of g(n). Factor o(m).
3*m*(m + 2)
Suppose -8 = v - 3*v. Solve -19*d**5 - 15*d**5 + 30*d**5 - 60*d**3 - 52*d**2 - 16*d - 28*d**v = 0.
-4, -1, 0
Let z(x) be the first derivative of -13*x**6/9 - 4*x**5/15 + 13*x**4/6 + 4*x**3/9 + 4493. What is i in z(i) = 0?
-1, -2/13, 0, 1
Let w(o) be the second derivative of -55/6*o**4 - 35/6*o**3 - 5/42*o**7 - 60*o - 6*o**5 + 0*o**2 - 5/3*o**6 + 0. Factor w(r).
-5*r*(r + 1)**3*(r + 7)
Suppose -6794*h + 6512*h = -1128. Let 3/2*m**3 + 0 - m**2 - 1/2*m**h + 0*m = 0. What is m?
0, 1, 2
Suppose -16 = -23*u + 30. Let 153*y**3 - 2 - 27 + 267*y + 0 + 12*y**4 - 387*y**u - 16 = 0. What is y?
-15, 1/4, 1
Let w(z) be the second derivative of -z**4/36 + 95*z**3/3 + 571*z**2/6 + 3868*z. Determine a so that w(a) = 0.
-1, 571
Suppose 2*n + 240 = 4*j, -993*j - 60 = -994*j - 3*n. Factor -3/4*d**3 - j*d + 51/4*d**2 + 48.
-3*(d - 8)**2*(d - 1)/4
Let g be -1 - (-4 + (-5298)/(-1692)). Let o = g - -14/47. Determine n so that -o*n + 0 + 1/6*n**2 = 0.
0, 1
Let b(m) be the second derivative of -50/3*m**4 - 7/4*m**5 + 25*m**2 + 0 - 10*m - 115/6*m**3. Factor b(t).
-5*(t + 1)*(t + 5)*(7*t - 2)
Suppose -4*p - 16 = 0, -6*w - 3*p + 24 = -3*w. What is v in v**4 - 1 - 2*v - w*v**3 + v**3 + 13*v**3 = 0?
-1, 1
Let k(j) be the first derivative of -j**7/315 + j**6/225 + j**5/75 + 32*j + 22. Let z(g) be the first derivative of k(g). Solve z(d) = 0.
-1, 0, 2
Find u such that 1744/5*u**3 - 3168/5*u**2 + 22/5*u**5 + 1728/5 + 864/5*u - 68*u**4 = 0.
-6/11, 2, 6
Let j(c) = 2*c**2 + 826*c - 24570. Let q be j(28). Factor 1/2*o**3 - 196 - 15*o**2 + q*o.
(o - 14)**2*(o - 2)/2
Let d(n) be the first derivative of -n**6/42 + 2*n**5/7 - 23*n**4/28 + 2*n**3/3 - 1078. Let d(x) = 0. Calculate x.
0, 1, 2, 7
Let n(q) be the third derivative of q**5/100 + 81*q**4/40 - 261*q**3/5 + 2655*q**2. Factor n(m).
3*(m - 6)*(m + 87)/5
Let b = -537 - -533. Let l be 13/(260/96) + b. Factor 0 + 12/5*c - l*c**2.
-4*c*(c - 3)/5
Let j(g) = -73*g**4 + 237*g**3 - 111*g**2 - 120*g - 16. Let m(h) = -h**4 + h**3 + 3*h**2. Let t(o) = 2*j(o) - 14*m(o). Determine k, given that t(k) = 0.
-1/3, -2/11, 2
Solve 0 + 5/3*x**3 + 4/9*x**4 + 7/9*x + 2*x**2 = 0 for x.
-7/4, -1, 0
Let w be 2*(6/(-7) - (-4764)/168). Let z = 58 - w. Factor -4/5*k**2 + 2/5*k**z + 2*k**5 + 0*k + 0 + 16/5*k**4.
2*k**2*(k + 1)**2*(5*k - 2)/5
Suppose -120971*y + 120975*y = 0. Factor y + 0*m + 1/2*m**4 + 4*m**2 + 3*m**3.
m**2*(m + 2)*(m + 4)/2
Suppose -39 + 7 = 8*q. Let x(p) = -5*p**2 + 5*p + 10. Let m(r) = 5*r**2 - 5*r - 10. Let d(s) = q*m(s) - 3*x(s). Solve d(j) = 0.
-1, 2
Suppose -14*n - 60 = -19*n - 4*x, 5*x = -3*n + 23. Find i, given that -n*i**4 + 21*i**4 + 27*i - 9*i**5 - 18*i**3 - 6 + 25*i**4 - 24*i**2 = 0.
-1, 1/3, 1, 2
Let l(g) be the second derivative of -g**6/60 - g**5/3 - g**4 + 24*g**3 - 51*g**2 + 76*g. Let s(y) be the first derivative of l(y). What is t in s(t) = 0?
-6, 2
Let y = -409 + 415. Let j(z) = 70*z**2 + 320*z + 335. Let r(t) = -5*t**2 - 23*t - 24. Let w(x) = y*j(x) + 85*r(x). Factor w(b).
-5*(b + 1)*(b + 6)
Find m such that -3552 + 1/2*m**4 + 2632*m - 642*m**2 + 99/2*m**3 = 0.
-111, 4
Let d(a) = -a**2 + 39. Let j be d(6). Factor -j*h - 11 - 10 - 11 - h**2 + 30.
-(h + 1)*(h + 2)
Let n(v) = -1356*v - 12201. Let g be n(-9). Suppose -1/3*d**2 + 1/6*d**4 + 3/2 - 2/3*d**g + 2*d = 0. Calculate d.
-1, 3
Let g(o) be the first derivative of o**6/3 + 8*o**5/5 - 7*o**4 - 112*o**3/3 - 59*o**2 - 40*o - 130. Factor g(b).
2*(b - 4)*(b + 1)**3*(b + 5)
Let b(m) be the third derivative of -m**7/10 + 31*m**6/4 - 169*m**5/5 + 21*m**4 + 3*m**2 - 11*m - 66. What is f in b(f) = 0?
0, 2/7, 2, 42
Let j(d) be the third derivative of d**6/660 - 59*d**5/330 - 11*d**4/12 - 61*d**3/33 - 397*d**2. Determine z, given that j(z) = 0.
-1, 61
Let s be -1 - -11 - (11 + -7). Let l be (24 - 28)/((-15)/s). Suppose -10*x**2 + l + 72/5*x - 714/5*x**3 = 0. What is x?
-2/7, -2/17, 1/3
Let i(d) be the second derivative of -d**5/20 - 2*d**4/3 + 9*d**2/2 - 16*d. Let k(m) = -m**3 - 9*m**2 + m + 9. Let b(f) = 4*i(f) - 3*k(f). Factor b(o).
-(o - 1)*(o + 3)**2
Let m(i) be the third derivative of -i**7/560 + i**6/240 + 3*i**5/40 - 19*i**3/6 - 50*i**2. Let c(s) be the first derivative of m(s). Factor c(x).
-3*x*(x - 3)*(x + 2)/2
Let q be (8448/(-5940))/((-46)/10) + 2/(-23). Let 10/9*v**3 - 10/9*v - q*v**4 + 2/9*v**2 + 0 = 0. Calculate v.
-1, 0, 1, 5
Let l(p) be the first derivative of -51*p**2 - 50*p - 40 - 1/2*p**4 - 18*p**3. Factor l(v).
-2*(v + 1)**2*(v + 25)
Solve 39790205/4 + 5/4*h**2 - 14105/2*h = 0 for h.
2821
Let p(x) = -5*x**3 + 23*x**2 - 22*x - 48. Let d(o) = -27*o**3 + 115*o**2 - 111*o - 242. Let i(m) = -6*d(m) + 33*p(m). Suppose i(f) = 0. What is f?
-1, 2, 22
Let d(z) be the first derivative of 1/9*z**3 - 5/6*z**2 - 10 - 2*z. Suppose d(i) = 0. Calculate i.
-1, 6
Let d be (-168091)/(-531) - (-8)/18. Let b = d + -313. Find a such that -2/5*a**b + 2/5*a**3 - 16/5 - 8/5*a + 12/5*a**2 = 0.
-2, -1, 2
Let c(t) be the third derivative of 289*t**6/1080 + 2006*t**5/135 - 475*t**4/54 + 56*t**3/27 - 1910*t**2. Factor c(h).
(h + 28)*(17*h - 2)**2/9
Let n(j) be the first derivative of -j**4/28 - 10*j**3/7 - 149*j**2/14 - 120*j/7 - 757. Let n(d) = 0. Calculate d.
-24, -5, -1
Suppose 1000 = 5*u + 265. Let a be (-9)/54 - u/(-18). Factor 2*v**2 - 4 + 20*v - 14*v - a*v.
2*(v - 2)*(v + 1)
Let d(p) be the first derivative of 33/5*p**2 + 2/5*p**5 + 171 + 341/15*p**3 - 36/5*p - 237/40*p**4. Let d(l) = 0. What is l?
-2/5, 1/4, 6
Let g(p) = 4*p - 6. Let q(s) = -7*s + 13. Let r(i) = 5*g(i) + 3*q(i). Let h be r(3). Find v such that -4*v**3 + 29 + 5*v**3 + 9*v + h*v**2 - 25 = 0.
-4, -1
Suppose -19*k + 20*k = -4*u + 10, -3*u = -k - 4. Suppose 3 + 21 - k*i - 2*i**2 + 0*i**2 = 0. Calculate i.
-4, 3
Let z(v) be the first derivative of 3*v**6/7 - 7974*v**5/35 + 439563*v**4/14 + 2653346*v**3/63 + 147704*v**2/7 + 32856*v/7 - 7643. What is d in z(d) = 0?
-1/3, 222
Solve 192/5*j - 3/5*j**2 + 603/5 = 0 for j.
-3, 67
Factor -122*a