3 = -38*h. Suppose 17*i = h*i. Factor i + 0*o**2 + 0*o + 0*o**3 - 3/2*o**4.
-3*o**4/2
Let q(c) be the second derivative of 25/8*c**2 + 1/48*c**4 + 57*c + 0 + 5/12*c**3. Factor q(j).
(j + 5)**2/4
Let k(t) be the second derivative of 0*t**2 + 3/40*t**5 + 15/8*t**4 - 8*t - 1 + 7/2*t**3. Find c such that k(c) = 0.
-14, -1, 0
Suppose -4*h + 9 + 7 = 0, -4*c + 80 = 5*h. Suppose 0 = -3*y - 6 + c. Factor 12*z + 6*z**4 - 20*z**2 + 4*z**y - 411 + 411 - 2*z**4.
4*z*(z - 1)**2*(z + 3)
Let j(t) be the second derivative of -t**9/30240 - 15*t**4/4 - 2*t - 1. Let d(o) be the third derivative of j(o). What is y in d(y) = 0?
0
Let j be ((-42)/(-4))/(165/26730*567). Let -15/2*z**2 + 1/4*z**j - 26 + 27*z = 0. What is z?
2, 26
Suppose -6*b + 891*b - 2655 = 0. Factor -b + 15/4*f**2 + 6*f.
3*(f + 2)*(5*f - 2)/4
Let i(d) be the first derivative of -d**4/16 - 59*d**3/4 + 179*d**2/4 - 2981. Suppose i(c) = 0. What is c?
-179, 0, 2
Suppose -7136*o + 7131*o = 3*j - 56, -2*j = 3*o - 34. Suppose -2/7*t**5 + 0 - 6/7*t**4 + 48/7*t**3 - 8*t**j + 0*t = 0. Calculate t.
-7, 0, 2
Suppose 2*u = 4*v - 36, 3*u - 3*v = -2*v - 39. Let l = u - -14. Factor -2/9*y**l + 8/9*y - 8/9.
-2*(y - 2)**2/9
Let h(z) be the second derivative of 5/3*z**3 - 5/4*z**5 + 2 + 0*z**2 + 5/4*z**4 - 105*z. Suppose h(m) = 0. What is m?
-2/5, 0, 1
Suppose -39*t**3 - 86*t**2 - 60*t + 1/2*t**5 + 0 - 9/2*t**4 = 0. What is t?
-2, 0, 15
Let v(o) be the third derivative of 0*o**3 - 1/25*o**5 + 0 - 7/150*o**6 - 2/105*o**7 - o + 0*o**4 - 89*o**2 - 1/420*o**8. Solve v(s) = 0.
-3, -1, 0
Let f = 0 + 11. Solve 15*r**2 + 11 - f - 5*r**4 + 10*r**3 + 0 = 0 for r.
-1, 0, 3
Determine j so that 12621 + 12771 - 3*j**2 - 27912 + 642*j = 0.
4, 210
Let b be (-56)/12 - 156/(-33). Let z(x) be the first derivative of -10 + 1/11*x**2 + b*x**3 + 0*x. Determine d so that z(d) = 0.
-1, 0
Find c, given that 16965*c + 25030*c**3 - 24742*c**2 + 2787*c**2 - 1580 + 10200*c**4 - 19403*c**2 - 9382*c**2 + 125*c**5 = 0.
-79, -4, 1/5, 1
Let g(j) = 3*j**2 + 54*j + 13. Let c be g(-18). Let l be (-14 + c)/(-2 + -1). Solve -l*r**4 + 0 - 8/3*r**2 - 4/3*r - 5/3*r**3 = 0.
-2, -1, 0
Factor -597*n**2 - 328*n**3 + 3*n**4 + 762*n**3 + 1035*n - 341*n**3 - 6*n**4.
-3*n*(n - 23)*(n - 5)*(n - 3)
Let c(n) be the third derivative of -n**8/336 - n**7/35 + 19*n**6/120 + n**5/3 - 3*n**4/2 - 16*n**3/3 + 8*n**2 - 45*n. Let c(d) = 0. What is d?
-8, -1, 2
Let d(l) be the third derivative of -l**6/300 + 37*l**5/150 + 1177*l**4/60 + 7139*l**3/15 + 3319*l**2 + l - 1. Determine p so that d(p) = 0.
-11, 59
Let b be (-132)/330 + (-126)/(-15). Suppose n - 7*n = -b*n. Factor n*g - 1/2*g**5 + 5/2*g**3 + 3/2*g**2 + 0 + 1/2*g**4.
-g**2*(g - 3)*(g + 1)**2/2
Let b(m) be the third derivative of -m**6/300 - 299*m**5/150 - 5698*m**4/15 - 21904*m**3/5 + 1135*m**2 - m. Let b(h) = 0. What is h?
-148, -3
Suppose 5*k - 2*k - 36 = 0. Suppose -9*z - z**2 - 4*z**3 - 3*z**4 + 16*z**2 + 13*z**3 - k = 0. What is z?
-1, 1, 4
Let p = -5368 - -5373. Let v(z) be the third derivative of -5/8*z**4 - 7/160*z**6 + 13/40*z**p - 4*z**2 + 0 - z**3 + 0*z. Factor v(f).
-3*(f - 2)**2*(7*f + 2)/4
Let y(w) = 18*w**3 + 8*w**2 + 10*w - 6. Let x = 491 + -501. Let p(b) = -2*b**3 - b**2 + b - 1. Let d(z) = x*p(z) - y(z). Find s, given that d(s) = 0.
-4, 1, 2
Suppose -14*z + 133 = -35. Suppose -20*h**3 - 3*h**3 + 7*h**3 - h**4 - z*h**2 - 3*h**4 = 0. What is h?
-3, -1, 0
Let y = -16099 - -16105. Let t(r) be the second derivative of 0 + 109/72*r**4 + 49/3*r**2 - 7*r**3 - 3/20*r**5 + 1/180*r**y + 46*r. Factor t(k).
(k - 7)**2*(k - 2)**2/6
Let p = -604 + 287. Let b = p + 317. Factor 8/9*w + 4/9*w**3 + b + 4/3*w**2.
4*w*(w + 1)*(w + 2)/9
Let c = -143291/2 - -71646. Suppose -z + 2*p = 0, z + 0*p - p = 0. Factor z + c*m**2 - 1/2*m**3 + m.
-m*(m - 2)*(m + 1)/2
Let d = 129 - 128. Let a(j) = -17*j**4 - 16*j**3 - j**2 + 3*j + 15. Let o(w) = -w**4 + w**3 + w**2 + 3. Let p(n) = d*a(n) - 5*o(n). Solve p(b) = 0 for b.
-1, 0, 1/4
Let x(s) be the third derivative of s**5/90 - 167*s**4/6 + 27889*s**3 + 2*s**2 - 121. What is k in x(k) = 0?
501
Suppose z - 24*r + 23*r + 5 = 0, 3*r - 15 = 4*z. Suppose -2/5*j**2 + 8/15 - 2/15*j**3 + z*j = 0. Calculate j.
-2, 1
Let y(c) = -70*c - 3. Let b be y(-1). Factor 7*o**2 + 35*o - b + 97 - 2*o**2.
5*(o + 1)*(o + 6)
Let j(h) be the third derivative of h**5/20 - 85*h**4/4 - 528*h**3 + h**2 - 8*h + 75. Factor j(s).
3*(s - 176)*(s + 6)
Suppose 104*z + 46*z - 300 = 0. Let u(t) be the third derivative of 18*t**z - 1/44*t**4 + 1/330*t**5 + 0 - 4/33*t**3 + 0*t. Factor u(j).
2*(j - 4)*(j + 1)/11
Let l(i) = i**2 + 3*i - 24. Let h be l(-7). Let x**5 + x**5 - 4*x**2 + h*x**4 + 3*x**5 - 4*x**3 - x**5 = 0. Calculate x.
-1, 0, 1
Suppose 8*h = 3*h. Suppose 4*l + 3*d = -1 - h, -12 = 4*d. Suppose 13 - 30*j + 62 - 18*j**2 - 21*j**2 + 42*j**l = 0. What is j?
5
Suppose -9*i - 53 = -14*i + 3*h, 0 = 2*i + 3*h - 17. Suppose 5*m - i = 4*s, -s + 6*s = 0. Factor 0*v + 0 + m*v**3 + 8/7*v**2.
2*v**2*(7*v + 4)/7
Factor 55/6 - 9*x - 1/6*x**2.
-(x - 1)*(x + 55)/6
Let o be -1 - ((-12 - 2) + 8). Let f(q) = -510*q**2 + 224*q - 8. Let x(l) = -510*l**2 + 224*l - 8. Let n(r) = o*f(r) - 6*x(r). Factor n(b).
2*(5*b - 2)*(51*b - 2)
Let a(i) = -i**3 - 7*i**2 - 6*i + 4. Let s = -335 - -329. Let y be a(s). Factor 0*h + 1/4*h**2 + 3/4*h**y + 3/4*h**3 + 1/4*h**5 + 0.
h**2*(h + 1)**3/4
Let b be 120/100 + 192/90. Find a, given that -4*a + 0 - 2/3*a**3 - b*a**2 = 0.
-3, -2, 0
Let t(p) = p**4 + 9*p**3 - p**2. Let z(g) = -24*g**4 - 184*g**3 + 520*g**2 - 924*g - 7056. Let c(f) = -20*t(f) - z(f). Factor c(h).
4*(h - 7)**2*(h + 3)*(h + 12)
Suppose 5*o = -2*k + 123, 2*o + 232 = 5*k - 148. Factor 2097*l - k*l**3 - 2091*l + 23*l**3 + 45*l**2.
-3*l*(l - 1)*(17*l + 2)
Let r(p) be the second derivative of -5*p**4/3 - 850*p**3 - 325125*p**2/2 + 1707*p. Determine f so that r(f) = 0.
-255/2
Let h = 1219 + -1217. Let t(n) be the second derivative of 5*n - 1/5*n**4 + 0 + 6/5*n**3 - 27/10*n**h. Find x, given that t(x) = 0.
3/2
Let q = -198 - -193. Let h(k) = 10*k**3 - 65*k**2 - 135*k - 75. Let v(p) = -p**3 + p**2 + 1. Let m(g) = q*v(g) - h(g). Factor m(f).
-5*(f - 14)*(f + 1)**2
Let k(l) = -3*l**4 + 76*l**3 + 295*l**2 - 155*l - 1166. Let w(d) = -4*d**4 + 102*d**3 + 394*d**2 - 207*d - 1554. Let z(o) = -15*k(o) + 11*w(o). Factor z(p).
(p - 22)*(p - 2)*(p + 3)**2
Suppose -757/4*l**3 - 9/2*l**4 + 0 - 41/4*l - 195*l**2 = 0. Calculate l.
-41, -1, -1/18, 0
Suppose -190*h = -57*h. Solve 4/3*b**3 + 0*b + h + 28/3*b**2 = 0 for b.
-7, 0
Factor -139/5*f + 0 + 1/5*f**2.
f*(f - 139)/5
Let n(h) be the first derivative of h**6/150 + h**5/75 - h**4/30 - 2*h**3/15 + 3*h**2 - 2*h + 60. Let q(i) be the second derivative of n(i). Factor q(z).
4*(z - 1)*(z + 1)**2/5
Let c(x) be the second derivative of -9*x**5/80 + 47*x**4/8 - 207*x**3/8 + 87*x**2/2 - 909*x - 1. Find u, given that c(u) = 0.
1, 4/3, 29
Let p(n) = -5*n**2 + 25*n - 47. Let j(s) = s + 2. Let i(a) = 2*j(a) + p(a). Let q(c) = 15*c**2 - 80*c + 130. Let u(b) = 10*i(b) + 3*q(b). Factor u(t).
-5*(t - 4)*(t - 2)
Let m(h) = -h**3 + 35*h**2 - 46*h + 80. Let j(t) = t**2 + 8. Let a(w) = 30*j(w) - 3*m(w). Determine k so that a(k) = 0.
0, 2, 23
Let p(d) be the second derivative of d**4/78 - 16*d**3/39 + 55*d**2/13 - 56*d + 11. Let p(l) = 0. Calculate l.
5, 11
Let h(d) = 2*d**2 - 3*d + 2. Let l(g) = -8*g**2 + 665*g - 53798. Let y(n) = -3*h(n) - l(n). Let y(v) = 0. What is v?
164
Let s be (-2)/(-2)*5/(-20)*-20. Let y be s - 2 - (-4 - (0 + -3)). Factor 3*j**y - 19*j**2 - 6*j - 19*j**2 + 29*j**2.
3*j*(j - 2)*(j + 1)**2
Suppose -4*s = -5*s + 3. Suppose 0 = -5*b, 4*b = -4*y + 9 + 3. Let 4*t**y + 3*t - s*t - 8*t**2 - 4*t + 8 = 0. Calculate t.
-1, 1, 2
Suppose 44 = -4*o + 4*q, -732*q + 736*q - 44 = 0. Suppose 3/5*l**2 - 6/5*l + o = 0. Calculate l.
0, 2
Let m(c) be the second derivative of -27/130*c**5 + 23/195*c**6 + 1/6*c**4 - 2/39*c**3 + 0 - 1/39*c**7 - 80*c + 0*c**2. Determine j, given that m(j) = 0.
0, 2/7, 1
Let f be 46/(-23)*2/8*0. Factor -43*y**2 + 439 - 5*y**3 - 60*y + f*y**2 - 7*y**2 - 79.
-5*(y - 2)*(y + 6)**2
Let a(s) = s**3 + 44*s**2 + 329*s - 3752. Let p(h) = -h**3 - 44*h**2 - 331*h + 3753. Let m(n) = -3*a(n) - 2*p(n). Let m(u) = 0. What is u?
-25, 6
Let o(q) be the third derivative of q**7/525 - q**6/100 - 19*q**5/150 + 29*q**4/2