0. What is g?
-9, 0, 1, 2
Let d(f) = -12*f**2 + 100*f - 492. Let z(r) = -77*r**2 + 603*r - 2952. Let u(v) = -13*d(v) + 2*z(v). Determine c, given that u(c) = 0.
6, 41
Factor 26/3*v**3 + 19/3*v**2 + 11/3*v**4 + 0 + 4/3*v.
v*(v + 1)**2*(11*v + 4)/3
Determine j, given that 5330396 - 3*j**3 + 16*j - 5330156 + 7*j**3 - 44*j**2 = 0.
-2, 3, 10
Suppose -3*y - 4*x = -26, 2*y + 13*x - 24 = 9*x. Let l(i) be the first derivative of 0*i - 9 + 4/3*i**3 - 4/3*i**y - 1/3*i**4. Factor l(t).
-4*t*(t - 2)*(t - 1)/3
Let m be 5/((-125)/(-5)) - 5133/(-60). Let v be (-6)/(-8) - ((-440)/16 + 23). Factor -m - v*s**2 - 1/4*s**3 - 147/4*s.
-(s + 7)**3/4
Let k(h) be the first derivative of h**5/5 + 4*h**4/3 + 8*h**3/3 + 13*h + 75. Let x(i) be the first derivative of k(i). Find c such that x(c) = 0.
-2, 0
Let y(s) be the third derivative of -s**5/480 - 35*s**4/192 - 25*s**2 - 10. Suppose y(t) = 0. What is t?
-35, 0
Let h(n) be the third derivative of -n**5/36 + 73*n**4/24 + 22*n**3/9 - 1850*n**2. Factor h(a).
-(a - 44)*(5*a + 1)/3
Let x(h) = -57*h**3 + 20*h**2 - 5*h + 2. Let d be x(0). Factor 24/5 + 14/5*u**d + 2/5*u**3 + 32/5*u.
2*(u + 2)**2*(u + 3)/5
Let g(p) = -64*p**4 - 340*p**3 - 1152*p**2 - 1008*p + 28. Let l(b) = -7*b**4 - 38*b**3 - 128*b**2 - 112*b + 3. Let t(z) = 3*g(z) - 28*l(z). Factor t(k).
4*k*(k + 2)**2*(k + 7)
Suppose 7*k**3 + 0 + 22/9*k - 1/9*k**5 - 65/9*k**2 - 19/9*k**4 = 0. What is k?
-22, 0, 1
Let x(d) be the third derivative of -d**6/420 + 187*d**5/210 - d**2 - 95*d. Factor x(w).
-2*w**2*(w - 187)/7
Suppose -41 + 14 = -9*q. Solve -24*p**2 - 15*p - 19*p - 7*p**3 + 7*p + 10*p**q = 0 for p.
-1, 0, 9
Find v such that 196/3*v**3 + 28*v**2 - 32*v + 16/3 = 0.
-1, 2/7
Let c = 455/36 + -54155/4356. Let j = c - 3/121. Suppose -8/11 + 42/11*y**3 - 32/11*y - j*y**2 = 0. Calculate y.
-2/3, -2/7, 1
Find u, given that -236/3*u**2 - 1936/9 - 82/9*u**3 - 2/9*u**4 + 2728/9*u = 0.
-22, 1, 2
Let m(p) be the first derivative of p**3/3 + 145*p**2 - 291*p + 8115. Solve m(s) = 0.
-291, 1
Let w(l) = 40 + 2*l**2 - l**3 - 35 + l - 6. Let j(d) = -5*d**4 + 23*d**3 + 9*d**2 - 23*d - 2. Let f(i) = -j(i) + 2*w(i). Suppose f(y) = 0. What is y?
-1, 0, 1, 5
Let f(n) = 15*n - 162. Suppose 44 = 4*y - 3*z + z, 0 = -4*z. Let c be f(y). Find i such that 3/4*i + 0 - 3/8*i**2 - 3/8*i**c = 0.
-2, 0, 1
Let c(y) be the first derivative of 48*y - 104*y**2 + 16*y**4 + 124/3*y**3 + 16 - 28/5*y**5. Suppose c(d) = 0. Calculate d.
-2, 2/7, 1, 3
Suppose -8*p = 18*p - 1872. Factor -4*w + 22*w**2 - 27*w**2 - 27*w**2 - 29*w**2 - 19*w**2 - 148*w**3 - p*w**4.
-4*w*(w + 1)**2*(18*w + 1)
Let z = 228770/343137 - 4/114379. What is r in z*r - 8*r**3 - 4/9 + 70/9*r**2 = 0?
-1/4, 2/9, 1
Let m(l) be the second derivative of l**4/48 + 147*l**3/4 + 194481*l**2/8 - 3328*l. Determine a so that m(a) = 0.
-441
Suppose 1952/7*z + 1280/7 + 2/7*z**4 + 768/7*z**2 + 14*z**3 = 0. Calculate z.
-40, -4, -1
Let i(c) be the third derivative of 1/660*c**6 - 120*c**2 + 2/165*c**5 + 0 + 0*c**4 + 0*c + 0*c**3. Factor i(r).
2*r**2*(r + 4)/11
Factor 0*z**2 - 3/5*z**5 + 153/5*z**3 - 30*z**4 + 0 + 0*z.
-3*z**3*(z - 1)*(z + 51)/5
Let q(d) = -1405*d - 1401. Let z be q(-1). Factor 3*u**3 + 54 - 18*u - 33/2*u**2 + 3/2*u**z.
3*(u - 2)**2*(u + 3)**2/2
Let x(z) be the first derivative of 5*z**4/4 - 480*z**3 + 69120*z**2 - 4423680*z - 482. Determine w so that x(w) = 0.
96
Let b = -14927/6 + 2488. Let s be 3 + (((-38)/(-3))/(-2) - -4). Suppose s*v + 2/3 + b*v**2 = 0. Calculate v.
-2
Let n(l) be the third derivative of l**5/20 - 79*l**4/8 + 315*l**3 - 22*l**2 + 76*l. Factor n(j).
3*(j - 70)*(j - 9)
Let r = 19865 - 19863. Let o = -80132/5 - -16095. Factor -294/5*u**r - o*u**3 - 84/5*u - 8/5.
-(7*u + 2)**3/5
Let t = 523 + -1021/2. Suppose -z = -5*s - 72, 16724*z - 34 = 16721*z + 2*s. Factor -5*k + 1/2*k**z + t.
(k - 5)**2/2
Let c(p) be the third derivative of -p**8/2856 + 16*p**7/357 - 839*p**6/510 + 104*p**5/17 - 507*p**4/68 - 198*p**2. Determine j so that c(j) = 0.
0, 1, 39
Suppose 4*p + b = -2*b + 21, 3*p - 4*b - 47 = 0. Suppose 25 = -4*m + p*m. Let -15*k + 11 + 9 - 10 + m*k**2 = 0. Calculate k.
1, 2
Let f be ((-37)/(1813/(-4263)))/(6*(-66)/(-2784)). Factor -f - 2/11*v**2 + 232/11*v.
-2*(v - 58)**2/11
Factor -96*m - 34/3*m**2 + 0.
-2*m*(17*m + 144)/3
Let w(x) = 3*x**5 + x**4 + x**3 + x**2 - x - 1. Let g(n) = -10*n**5 + 14*n**4 - 24*n**3 - 92*n**2 + 23*n + 5. Let o(h) = g(h) + 5*w(h). Let o(k) = 0. What is k?
-3, 0, 1/5, 2
Let u(o) be the third derivative of 0 - 1/20*o**5 + 0*o + 0*o**3 + 74*o**2 - 1/40*o**6 - 1/210*o**7 - 1/24*o**4. Factor u(s).
-s*(s + 1)**3
Let m(f) = f**3 - 14*f**2 - 5*f + 31. Let n be m(14). Let q = 43 + n. Solve -4 + 4*d - 2*d**2 - 4*d**2 + 0*d**4 + 3 - d**4 + q*d**3 = 0.
1
Determine b, given that -48 + 19/2*b - 1/4*b**2 = 0.
6, 32
Let z(s) = -s**3 + 15*s**2 - 13*s - 11. Let b be z(14). Suppose 8 = d + b*d. Factor -4*p + 4 - p**d - 2*p + p**3 - 2*p + 4*p.
(p - 2)*(p - 1)*(p + 2)
Suppose -106*c = -109*c + 9. Factor 21*s**4 - 6*s + 8*s**c - 21*s**2 - s**3 - s**3.
3*s*(s - 1)*(s + 1)*(7*s + 2)
Find p such that -186*p**2 + 2*p**4 + 88*p**3 + 20219408*p - 20219496*p + 260 - 76 = 0.
-46, -1, 1, 2
Factor 32*t**2 + 60 + 58*t**2 - 3693*t**3 + 3701*t**3 + 262*t.
2*(t + 5)*(t + 6)*(4*t + 1)
Suppose -3*l + 7*l + 260 = 0. Let c = l + 89. Factor 11*n**4 - c*n**4 + 7*n**4 + 9*n**4 - 3*n**2.
3*n**2*(n - 1)*(n + 1)
Suppose c - d + 9 = -1, 6 = 3*d. Let w(a) = -12*a**2 - 108*a + 112. Let l(o) = o**2 + 2*o - 2. Let z(s) = c*l(s) - w(s). Factor z(t).
4*(t - 1)*(t + 24)
Let h be -9*((-3)/(-15) + 6/(-5)). Suppose l - 5*g + 6 + 9 = 0, h = 5*l + 3*g. Solve 6*o**3 + 7/2*o**4 - 25/2*o**2 + 3*o + l = 0.
-3, 0, 2/7, 1
Let n(u) be the first derivative of 0*u + 3/8*u**6 - 15/16*u**4 - 1/2*u**3 + 0*u**2 + 3/5*u**5 - 5. Suppose n(g) = 0. Calculate g.
-2, -1/3, 0, 1
Let p(h) be the third derivative of -7*h**7/6 - 11837*h**6/24 + 851*h**5/2 + 7265*h**4/6 + 2420*h**3/3 - 11*h**2 + 386. Find s such that p(s) = 0.
-242, -2/7, 1
Factor 16/5*o**2 + 2/5*o**3 + 32/5 + 8*o.
2*(o + 2)**2*(o + 4)/5
Let m(x) be the third derivative of -x**6/300 + 16*x**5/75 - 31*x**4/60 + 5*x**2 + 411. Solve m(n) = 0.
0, 1, 31
Let k be (3/(-6))/((-14)/224) - 4. Let o(w) be the second derivative of 1/30*w**5 + 0 - 8/3*w**2 - 4/9*w**3 - w + 1/3*w**k - 1/45*w**6. Solve o(s) = 0.
-2, -1, 2
Let s(c) be the third derivative of -c**6/40 - c**5/4 + 89*c**4/4 + 364*c**3 - 4304*c**2 + 1. Let s(i) = 0. Calculate i.
-14, -4, 13
Let k be (-243)/(-45) - 6/15. Determine b so that 15 - 2*b**3 - 25*b**4 - 9*b**3 - 19*b**3 + 10*b**2 - k*b**5 + 35*b = 0.
-3, -1, 1
Suppose 4*c = 2*s + 16, 84*c - 80*c + 2*s = 48. Factor -48 - c*k - 1/3*k**2.
-(k + 12)**2/3
Let c(i) be the second derivative of -i**4/90 - 22*i**3/45 - 112*i**2/15 + 139*i. Let c(w) = 0. Calculate w.
-14, -8
Let q = -57446 + 57446. Factor q + 0*m + 24/7*m**3 - 12/7*m**2 + 3/7*m**5 - 15/7*m**4.
3*m**2*(m - 2)**2*(m - 1)/7
Let h be 13 - (3 - (-370)/40). Solve h*k + 0 + 3/4*k**2 = 0.
-1, 0
Let g(p) be the first derivative of 95 + 1/3*p**6 + 0*p - 6/5*p**5 + 8/3*p**3 + 0*p**2 + 0*p**4. Factor g(t).
2*t**2*(t - 2)**2*(t + 1)
Suppose 3*f + 21 = 6*f + 5*d, 0 = -2*f - 2*d + 10. Let h be (-14328)/(-199)*(-2)/(-28). Let 60/7*u**f - 6/7*u**4 + 3*u**3 + h*u - 3/7*u**5 + 0 = 0. Calculate u.
-2, -1, 0, 3
Let z(k) be the third derivative of -k**6/40 - 99*k**5/20 + 25*k**4/2 - 358*k**2. Let z(p) = 0. What is p?
-100, 0, 1
Let w(r) = -2*r**3 + 16*r**2 - 6*r + 5. Let a be w(6). Suppose -q = -0*t - 3*t + 93, -4*t = -5*q - a. Factor -4*j - 64*j**3 + j - j - t*j**2 + 0*j.
-4*j*(4*j + 1)**2
Let j = -9218206/9 + 1021723. Let f = 2525 + j. Factor f*h**2 - 10/9*h**3 - 8/9 - 8/9*h.
-2*(h - 2)*(h - 1)*(5*h + 2)/9
Let s(j) be the first derivative of 40/9*j**3 - 88/3*j - 26/3*j**2 + 1/3*j**4 + 2. Factor s(k).
4*(k - 2)*(k + 1)*(k + 11)/3
Suppose -756 - 3/7*u**5 + 792*u + 5037/7*u**2 - 5541/7*u**3 + 255/7*u**4 = 0. What is u?
-1, 1, 42
Let o(f) be the second derivative of 3*f**5/80 + 17*f**4/3 - 31*f**3/8 - 91*f**2/4 + 950*f. Determine j so that o(j) = 0.
-91, -2/3, 1
Factor -381 + 193*w + 125*w - 19791*w**2 - 794 + 19796*w**2 - 108*w.
5*(w - 5)*(w + 47)
Let m = 32/9 - -16/9. Let d(g) be the third derivative of 2/3*g**4 + 0 + 5*g**2 + 1/30*g**5 + m*g**3 + 0*g. Determine 