) - 3*y(g). Suppose i(l) = 0. What is l?
1, 4, 18
Let h(x) be the second derivative of x**4/54 - 332*x**3/27 + 27556*x**2/9 + 2385*x. What is k in h(k) = 0?
166
Let d(k) be the third derivative of -22*k**2 + 31/180*k**5 + 0 - k - 10*k**3 + 2/3*k**4 + 1/120*k**6. Let d(m) = 0. Calculate m.
-6, 5/3
What is c in 388*c**3 - 1776/7 + 4/7*c**5 + 5344/7*c - 468/7*c**4 - 5820/7*c**2 = 0?
1, 2, 111
Let j be 5 - (5/4 - 5/20). Let h be (-29 + 24 - (-5)/1)/j. Factor 32/9*y + 2/9*y**3 + 16/9*y**2 + h.
2*y*(y + 4)**2/9
Let s(w) be the first derivative of 1/10*w**6 - w**3 - 6/5*w**2 + 9/20*w**4 + 70 + 3/5*w**5 + 0*w. Let s(t) = 0. Calculate t.
-4, -1, 0, 1
Factor 116*w + 2/7*w**2 + 810/7.
2*(w + 1)*(w + 405)/7
Let y be ((-16)/1152*-12)/(28/84). Solve -1/6 - 1/6*k**3 - 1/2*k - y*k**2 = 0.
-1
Let t(s) = 109*s**3 - 2290*s**2 + 2726*s - 540. Let g(n) = -55*n**3 + 1145*n**2 - 1363*n + 270. Let h(k) = 10*g(k) + 6*t(k). Determine r, given that h(r) = 0.
1/4, 1, 270/13
Let a = -84 - -79. Let o(h) = 2*h**3 - 5*h**2 - 2*h - 10. Let p(l) = -2*l**3 + 4*l**2 + 2*l + 8. Let z(y) = a*p(y) - 4*o(y). Factor z(r).
2*r*(r - 1)*(r + 1)
Let n(q) = 433*q + 19054. Let d be n(-44). Determine l, given that 0 + 1/2*l**5 + 0*l**d + 3*l**4 + 9/2*l**3 + 0*l = 0.
-3, 0
Suppose -70*u + 82*u = 1260. Suppose 27*j = u - 24. Suppose -27/7*s**j + 0 - 48/7*s + 3/7*s**4 + 72/7*s**2 = 0. What is s?
0, 1, 4
Let a(g) be the second derivative of -g**5/120 - 29*g**4/72 - 22*g**3/3 - 60*g**2 - 945*g. Factor a(p).
-(p + 5)*(p + 12)**2/6
Let l(k) be the second derivative of -k**8/2520 + 11*k**7/3780 - k**6/270 + k**3/6 + 2*k**2 - k + 22. Let g(q) be the second derivative of l(q). Factor g(t).
-2*t**2*(t - 3)*(3*t - 2)/9
Factor 84*c**2 + 3/2*c**3 - 903/2*c + 366.
3*(c - 4)*(c - 1)*(c + 61)/2
Let n be 544/10336 + (-161)/171 - 53/(-9). Suppose -f - 3*i = -i + 2, -i - 1 = 3*f. Factor -12/11*o**3 + 8/11*o**4 - 2/11*o**n - 2/11*o + 8/11*o**2 + f.
-2*o*(o - 1)**4/11
Let d(o) = -22 + 10*o - 8*o + 7*o + 19*o. Let m be d(3). Find s such that 87 - m*s + 12*s - 12 - 10*s + 12*s**2 = 0.
5/2
Let h(d) be the second derivative of -d**4/66 - 829*d**3/33 + 830*d**2/11 + 5536*d. Factor h(z).
-2*(z - 1)*(z + 830)/11
Let h be (-10)/(-125) - 5496/(-50). Factor 15*z + 235*z**2 - 120*z**2 - h*z**2.
5*z*(z + 3)
Let f(l) = 2*l**2 + 37*l - 28. Let q(h) = -h**2 + 2*h. Let t(u) = -5*f(u) + 15*q(u). Factor t(a).
-5*(a + 7)*(5*a - 4)
Let z(y) = -28*y**3 + 1144*y**2 - 5780*y. Let f(q) = 10*q**3 - 382*q**2 + 1926*q. Let k(m) = -20*f(m) - 7*z(m). Factor k(a).
-4*a*(a - 5)*(a + 97)
Find l, given that -16212*l - 1212*l**3 + 13868*l**2 - 606 + 1014 + 2302 + 818 + 28*l**4 = 0.
2/7, 1, 21
Let d(t) = t**3 + 4*t**2 - 63*t + 18. Let y be d(6). Let k(f) be the first derivative of y*f - 1/9*f**2 - 16 - 2/27*f**3. Factor k(o).
-2*o*(o + 1)/9
Let g(s) be the first derivative of -5/12*s**4 - 5/6*s**3 + 20*s + 1/4*s**5 - 12 + 5/2*s**2. Let q(f) be the first derivative of g(f). Factor q(i).
5*(i - 1)**2*(i + 1)
Let j(f) be the third derivative of 7*f**2 - 1/84*f**8 - 4/3*f**3 + 7/6*f**4 - 8/15*f**5 + 0 + 6*f + 1/15*f**6 + 4/105*f**7. Find v such that j(v) = 0.
-2, 1
Let g = -72681 - -72685. Factor 4/3*o**3 + 0*o + 26/9*o**g + 0 - 10/9*o**5 + 0*o**2.
-2*o**3*(o - 3)*(5*o + 2)/9
Let l(m) be the first derivative of -2*m**3/3 + 1706*m**2 - 1455218*m + 7298. Factor l(b).
-2*(b - 853)**2
Let d(z) be the second derivative of z**4/27 - 5*z**3/9 - 8*z**2/9 - 7*z + 178. Factor d(g).
2*(g - 8)*(2*g + 1)/9
Let r be (13 + -15)/(3 - 196/66). Let o be (-126)/r*4/12. Suppose o*b - 1/11*b**3 - 4/11 - 2/11*b**2 = 0. What is b?
-4, 1
Let s(c) be the second derivative of -4 + 2/105*c**7 - 11*c - 144/5*c**2 - 86/15*c**4 - 7/25*c**5 + 16/75*c**6 + 104/5*c**3. Suppose s(p) = 0. What is p?
-6, 1, 2
Let x = -2362 + 35432/15. Let z(u) be the second derivative of 0 + 0*u**2 - 1/50*u**5 - 1/10*u**4 - x*u**3 + 4*u. Factor z(v).
-2*v*(v + 1)*(v + 2)/5
Let t(a) = a**2 + 106*a + 2472. Let m be t(-72). Let n(c) be the first derivative of -5/4*c**4 + 15*c + m + 25/2*c**2 + 5/3*c**3. Factor n(u).
-5*(u - 3)*(u + 1)**2
Let o = 56 - 56. Let v be 5 + o + (2 + -2)/(-3). Suppose 20*g**2 + 79*g - 10*g**3 - 37*g + 2*g**v - 6*g**4 + 18 - 2*g**3 = 0. Calculate g.
-1, 3
Let i(w) be the first derivative of w**5/300 - 11*w**4/12 + 605*w**3/6 - 53*w**2 + 119. Let z(u) be the second derivative of i(u). Factor z(t).
(t - 55)**2/5
Suppose 2*z + 14 = x - 13, -5*z = 20. Suppose -9*g - 1 = -x. Factor 2*k + 2*k + 2*k + 10*k**3 + 14*k**2 - g*k.
2*k*(k + 1)*(5*k + 2)
Suppose 8*a - 132 = 14*a. Let n be (-1508)/(-1144) - 4/a. Factor 0*p + 15/2*p**3 - n*p**5 - 3/2*p**4 + 0 - 9/2*p**2.
-3*p**2*(p - 1)**2*(p + 3)/2
Let x(z) be the third derivative of -z**5/180 - 17*z**4/72 + 23*z**3/3 - 3303*z**2. Factor x(a).
-(a - 6)*(a + 23)/3
Let u(h) = 5*h**2 + 390*h - 405. Let w = -325 + 328. Let x(g) = -2*g**2 - 195*g + 203. Let j(y) = w*u(y) + 5*x(y). Factor j(m).
5*(m - 1)*(m + 40)
Let h(t) be the third derivative of -t**7/840 + 5*t**6/96 - 89*t**5/240 + 107*t**4/96 - 7*t**3/4 - 3*t**2 - 44*t + 4. Factor h(d).
-(d - 21)*(d - 2)*(d - 1)**2/4
Suppose 12*c = -156, -5*b - 4325 = -3*c - 4374. What is s in -14/5 + 8/5*s**3 + 2/5*s**4 - 36/5*s**b + 8*s = 0?
-7, 1
Let b be 2*14/4*(-760)/(-266). Suppose -32 = 4*h - b*h. Factor 0*x - 4/7*x**3 + 16/7 - 12/7*x**h.
-4*(x - 1)*(x + 2)**2/7
Let g(s) be the second derivative of -s**5/5 + 412*s**4 - 339488*s**3 + 139869056*s**2 + 428*s. Find x such that g(x) = 0.
412
Let l(f) = -13*f**2 + 6*f - 1. Suppose -2*s + 4 = -5*x, -5*s + 2*x + 2*x - 7 = 0. Let y(b) = -11*b**2 + 7*b - 2. Let k(h) = s*l(h) + 4*y(h). Factor k(a).
-5*(a - 1)**2
Let x = 37423/897576 + -1/37399. Let j(q) be the first derivative of 49 - x*q**3 - 5/16*q**2 - 1/2*q. Solve j(d) = 0 for d.
-4, -1
Let h(g) be the third derivative of g**7/1890 + 11*g**6/810 + g**5/27 + 85*g**3/6 - 102*g**2. Let c(a) be the first derivative of h(a). Factor c(z).
4*z*(z + 1)*(z + 10)/9
Let s = 137711/1239237 - 2/137693. Determine y so that -y**2 + s*y**3 + 20/9*y - 4/3 = 0.
1, 2, 6
Let r be (-86)/344*144/(-45). Suppose 3*l**5 + 8/5*l + 11/5*l**4 - 23/5*l**3 - 3*l**2 + r = 0. What is l?
-1, -2/5, 2/3, 1
Let x(k) be the second derivative of 5*k**4/12 + 575*k**3/6 + 565*k**2 - k - 103. Factor x(m).
5*(m + 2)*(m + 113)
Suppose 5*o = -5*i + 5, -5*o + 27*i - 22*i = 25. Let x be 0/(3 + -3 + o/(-1)). Find p, given that 3/7*p**4 + 0*p**2 + 3/7*p**3 + x*p + 0 = 0.
-1, 0
Let d = 19/385 + 13033/1155. Factor 6 + d*j - 2/3*j**3 + 14/3*j**2.
-2*(j - 9)*(j + 1)**2/3
Suppose 4*f = 4*b + 8, -f - 4*b = -0*b - 12. Let p = 39 + -33. Determine j, given that p + 6*j**4 + 4*j**4 - 3*j - 2*j**4 - 9*j**2 + 3*j**3 - 5*j**f = 0.
-2, -1, 1
Suppose 8*s + 1963 = -3077. Let v = -628 - s. Solve -2/3*c**5 - 14/3*c**2 + 0*c + 8/3 + 2/3*c**3 + v*c**4 = 0.
-1, 1, 2
Let q(z) be the third derivative of -z**6/600 - z**5/25 - 23*z**4/120 + 6*z**3/5 - 1530*z**2. Factor q(m).
-(m - 1)*(m + 4)*(m + 9)/5
Let l(z) be the third derivative of -z**5/120 - 19*z**4/16 - 175*z**3/6 - 1464*z**2. Let l(x) = 0. Calculate x.
-50, -7
Find d, given that -676/3 - 2/3*d**2 + 226*d = 0.
1, 338
Let r(c) = -12*c**4 + 483*c**3 + 225*c**2 - 3279*c + 1932. Let x(j) = j**4 - j**2 + j + 4. Let z(v) = -r(v) - 3*x(v). Solve z(q) = 0 for q.
-3, 2/3, 2, 54
Let r(p) be the second derivative of p**4/18 + 830*p**3/3 - 2491*p**2/3 + 4755*p + 1. Find z, given that r(z) = 0.
-2491, 1
Suppose -o + 5*p - 11 = 0, 5*p = 2*p + 9. Suppose 8 = r + o*q, -4*q + 8 = -4*r - 0*q. Factor 4/9*n + r - 16/9*n**2.
-4*n*(4*n - 1)/9
Let a(z) be the first derivative of -2*z**3/21 + 380*z**2/7 - 758*z/7 + 4503. Factor a(q).
-2*(q - 379)*(q - 1)/7
Let f(w) be the third derivative of -w**6/405 + 23*w**5/135 - 529*w**4/108 - 29*w**3/3 - 54*w**2. Let o(h) be the first derivative of f(h). Factor o(q).
-2*(2*q - 23)**2/9
Let m be 3123/(-29148) + 998/168. Find p, given that -5/6*p**4 - 25/3*p**2 + 0*p + 0 - m*p**3 = 0.
-5, -2, 0
Let p(j) be the second derivative of j**4/6 - 99*j**3 - 298*j**2 - 3042*j. Solve p(l) = 0 for l.
-1, 298
Find o, given that -1/8*o**3 - 145/2 - 1161/8*o - 291/4*o**2 = 0.
-580, -1
Let w(s) be the second derivative of -1/60*s**4 - 2*s - 16 + 4/15*s**3 - 7/10*s**2. Factor w(l).
-(l - 7)*(l - 1)/5
Suppose -35830 = -5*d +