+ 2*l**3/9 + 2*l**2 - 876*l. Suppose u(j) = 0. Calculate j.
-1, 2, 6
Let t = -16156 + 16159. Let r(s) be the first derivative of 13 + 1/3*s**3 - 2*s**2 + t*s. Factor r(i).
(i - 3)*(i - 1)
Let z(w) be the second derivative of w**6/60 - w**4/3 + 4*w**2 + 9*w - 1. Factor z(t).
(t - 2)**2*(t + 2)**2/2
Suppose -612*v**3 - 69144*v**5 - 4005*v + 5840*v**2 - 1195*v + 69148*v**5 - 32*v**4 = 0. Calculate v.
-13, 0, 1, 10
Factor -104/5 + 86/5*i - 2/5*i**3 + 4*i**2.
-2*(i - 13)*(i - 1)*(i + 4)/5
Let o(x) = -x**3 + 10*x**2 + 12*x - 9. Let k = 578 - 567. Let d be o(k). Factor -2*t**d - 10/7 - 2/7*t**3 - 22/7*t.
-2*(t + 1)**2*(t + 5)/7
Let c = 2699 - 2693. Let g(d) be the second derivative of -8/15*d**3 + 9*d + 0*d**2 + 0 + 13/50*d**5 - 1/25*d**c - 1/15*d**4. Determine k so that g(k) = 0.
-2/3, 0, 1, 4
Let y(n) be the second derivative of -2*n**6/135 - 89*n**5/36 - 5513*n**4/36 - 206719*n**3/54 - 50653*n**2/18 - 314*n + 4. Determine d, given that y(d) = 0.
-37, -1/4
Suppose 40*x - 37*x - 6 = 0. Let d(l) = -46*l + 94. Let o be d(x). Let -10/3*z**o + 16/3*z + 8/3 = 0. What is z?
-2/5, 2
Suppose -t = -2*g - 8850, 50*t - 46*t - 35220 = -4*g. Factor 5/4*d**2 + 210*d + t.
5*(d + 84)**2/4
Let x(w) be the third derivative of 5*w**8/336 - w**7/105 - 9*w**6/8 - 49*w**5/15 - 5*w**4/6 + 8*w**3 - 144*w**2 - 2. Determine d, given that x(d) = 0.
-4, -1, 2/5, 6
Let f be 14/(-21)*9/(-21). Suppose -447*l + 31*l + 832 = 0. Suppose -f*t**l + 2/7 + 8/7*t**3 - 8/7*t = 0. What is t?
-1, 1/4, 1
Let a(x) be the third derivative of -5/8*x**4 - 1/12*x**5 + 0*x + 0 + 1/2*x**3 + 1/72*x**6 + 13*x**2. Let m(v) be the first derivative of a(v). Factor m(t).
5*(t - 3)*(t + 1)
Let q(m) = 5*m**2 + 19*m - 62. Let d be q(-6). Let t(h) = h**3 + h + 2. Let o be t(0). Determine u so that -2*u**o - 7*u**3 - d*u + 6*u**3 - 2*u**2 + 0*u = 0.
-2, 0
Let j be 11200/544 + (5 - (3 - -4))*5. Suppose 162/17*p + 54/17 + 2/17*p**5 + j*p**2 + 92/17*p**3 + 22/17*p**4 = 0. What is p?
-3, -1
Let w(s) be the first derivative of -s**5/20 - 5*s**4/16 + 5*s**3/4 + 5*s**2/8 - 7*s/2 - 1257. Let w(j) = 0. What is j?
-7, -1, 1, 2
Factor 577/3*b + 575/3*b**2 + 2/3.
(b + 1)*(575*b + 2)/3
Let p = 48 + -26. Factor 16 - 4*v**3 + v + p*v + 24*v**2 + 8*v**3 + 13*v.
4*(v + 1)**2*(v + 4)
Let g(a) be the second derivative of -a**5/10 - 4*a**4/3 - 16*a**3/3 - 5*a + 65. Solve g(n) = 0 for n.
-4, 0
Suppose -2*z - 4*o - 8 = 0, -17*o + 6 = -z - 20*o. Let r(d) be the second derivative of -1/20*d**5 + 5/14*d**4 + 0*d**2 - 5*d - 4/21*d**3 + z. Factor r(m).
-m*(m - 4)*(7*m - 2)/7
Let n be 2 + 12/(-16)*2*(-9 - (-76)/12). Suppose n + 22/7*b**2 + 62/7*b + 2/7*b**3 = 0. Calculate b.
-7, -3, -1
Factor 2 + 1/3*b**2 - 7/3*b.
(b - 6)*(b - 1)/3
Let v be 12/42 + (-182940)/(-42). Solve -3*l**3 + 24157 + 161*l**2 + 7787 - v*l + 37*l**2 = 0 for l.
22
Determine f, given that 14*f**5 - 23*f**5 + 40*f**5 - 16*f**5 + 20*f**4 - 19*f**5 - 32*f**2 - 8*f**3 = 0.
-1, 0, 2, 4
Let d(a) be the second derivative of a**8/67200 + a**7/3150 - a**6/800 + a**4/12 - a**3/6 - a + 4. Let x(b) be the third derivative of d(b). Factor x(v).
v*(v - 1)*(v + 9)/10
Suppose 107*c**3 - 50*c**3 - 315*c**4 + 5*c**5 + 2260*c**4 - 57*c**3 = 0. Calculate c.
-389, 0
Let m(k) = 25*k**2 + 2358*k - 2. Let f(x) = 38*x**2 + 2359*x - 3. Let y(q) = 2*f(q) - 3*m(q). What is j in y(j) = 0?
0, 2356
Let c be (-1)/(-2)*(181 + -2 - 5). Let x(d) = 0 + c*d + 2 - 2*d**2 - 82*d. Let t(y) = -3*y**2 + 8*y + 3. Let q(n) = 5*t(n) - 8*x(n). Factor q(u).
(u - 1)*(u + 1)
Let x(w) = -2*w**3 - 25*w**2 - 4*w + 36. Let q(b) = 3*b**3 + 37*b**2 + 7*b - 54. Let f = -2 - -7. Let g(m) = f*q(m) + 7*x(m). Solve g(a) = 0.
-9, -2, 1
What is u in -12/7*u**2 + 104/7 - 22/7*u = 0?
-4, 13/6
Let c(r) be the first derivative of 1/12*r**4 - 26 + r**3 + 4*r + 10/3*r**2. Factor c(q).
(q + 1)*(q + 2)*(q + 6)/3
Let g(k) be the first derivative of k**6/54 + 7*k**5/45 - 7*k**4/12 - k**3 + 7107. Suppose g(n) = 0. What is n?
-9, -1, 0, 3
Let x(j) = -14*j - 25. Let b be x(-2). Factor -212*t + t**4 - b*t**2 - 213*t + 423*t.
t*(t - 2)*(t + 1)**2
Let f = 51133/7 + -7304. Let o(d) be the first derivative of -18 - f*d**3 - 1/35*d**5 - 1/4*d**4 - 13/14*d**2 - 4/7*d. Factor o(q).
-(q + 1)**3*(q + 4)/7
Let s(u) be the first derivative of 1106704*u**3/21 - 6312*u**2/7 + 36*u/7 - 467. Factor s(w).
4*(526*w - 3)**2/7
Let 372*n**3 - 129*n**3 + 92*n**2 - 2*n + 0*n + 226*n**3 + 375*n**2 = 0. What is n?
-1, 0, 2/469
Let w(z) = -26*z**4 + 1147*z**3 - 3340*z**2 - 3340*z + 1200. Let x(k) = -k**4 + 2*k**3. Let t(p) = -w(p) - 9*x(p). Solve t(q) = 0 for q.
-1, 2/7, 4, 30
Let m(n) be the first derivative of 4/15*n**3 + 68/5*n**2 - 178 + 0*n. Let m(b) = 0. Calculate b.
-34, 0
Let k = 3989 + -3985. Let f(i) be the first derivative of 4/5*i**5 + 0*i**4 + 0*i - k*i**2 - 4*i**3 + 10. Find x, given that f(x) = 0.
-1, 0, 2
Let c(m) be the third derivative of -m**8/13440 - m**7/210 + m**5/5 - m**3/6 + 70*m**2. Let y(v) be the third derivative of c(v). Factor y(x).
-3*x*(x + 16)/2
Let h = 221624/3 - 73872. Factor 3/2*z**2 + h*z - 2/3.
(z + 2)*(9*z - 2)/6
Let q(w) be the third derivative of 2*w**7/735 - 44*w**6/105 + 2566*w**5/105 - 660*w**4 + 9450*w**3 - 1132*w**2. Factor q(p).
4*(p - 35)**2*(p - 9)**2/7
Let s = -5726 + 5726. Let s*c + 0*c**4 + 0*c**2 + 0 + 36/5*c**3 - 4/5*c**5 = 0. What is c?
-3, 0, 3
Suppose -520 = -11*v + 19*v. Let u = -843/13 - v. Factor 0 + 2/13*y - u*y**2.
-2*y*(y - 1)/13
Let g(d) be the first derivative of -d**3/9 + 41*d**2/3 - 1681*d/3 + 1189. Factor g(m).
-(m - 41)**2/3
Let d(k) be the second derivative of k**7/105 + 4*k**6/75 + 3*k**5/50 - 2*k**4/15 - 4*k**3/15 - 959*k. What is a in d(a) = 0?
-2, -1, 0, 1
Suppose g = 2*c - 78, 202 = 16*c - 11*c + g. Let d be 232/c - 3/5 - -2. Find o such that 16/5 + 24/5*o**2 - d*o - 4/5*o**3 = 0.
1, 4
Let k(a) = 4*a**2 - 301*a + 299. Let w be k(1). What is n in 0*n**4 + 0*n**w + 2*n**3 - 1/4*n**5 + 0 - 4*n = 0?
-2, 0, 2
Let y(j) be the first derivative of j**8/588 - j**7/735 - 2*j**6/105 + 2*j**5/105 - 5*j**2 + 5. Let m(c) be the second derivative of y(c). Solve m(w) = 0 for w.
-2, 0, 1/2, 2
Suppose -30 = -6*f + 72. Suppose 15*x = -f + 17. Factor x + b**2 - 1/2*b**3 - 1/2*b.
-b*(b - 1)**2/2
Let n(x) = -2*x - 10. Let t be n(-5). Suppose -3*d + 3*k + 117 = 4*k, t = -4*k + 12. Determine f so that 8*f + 2*f**2 + 3*f**2 + d*f + 9*f = 0.
-11, 0
Let f(w) be the second derivative of w**6/50 - 9*w**5/100 - w**4/2 + 168*w - 3. Factor f(a).
3*a**2*(a - 5)*(a + 2)/5
Let t be 6/(288/104) + ((-266)/21 - -12). Determine k, given that 15/2*k + 6*k**2 + 3 + t*k**3 = 0.
-2, -1
Let v(s) = -8*s**4 - 4*s**3 - 100*s**2 + 172*s - 84. Let d(f) = -f**4 - f**3 + f**2 - f. Let p = -253 - -252. Let k(o) = p*v(o) + 12*d(o). Solve k(l) = 0 for l.
-7, 1, 3
Let a = 3227/1914 + -1454/957. Suppose -5/3*b**3 + a*b - 11/6*b**2 + 1/3 = 0. Calculate b.
-1, -1/2, 2/5
Solve 0 - 290/3*z - 2/3*z**2 = 0.
-145, 0
Let u = 2632/4299 - -78/1433. Factor -4 - u*t + 2/3*t**2.
2*(t - 3)*(t + 2)/3
Let v(i) = i**2 - 2*i - 1. Let x(r) = 6*r**2 - 184*r + 7564. Let n(k) = 5*k - 194. Let j be n(39). Let b(q) = j*x(q) - 5*v(q). Let b(p) = 0. What is p?
87
Let a = -292607/72 - -4064. Let f(s) be the third derivative of 0*s**3 - 8*s**2 + 1/180*s**5 + 0 + 0*s - a*s**4. Factor f(d).
d*(d - 1)/3
Let o(g) = 80*g**2 + 192620*g + 68629760. Let r(d) = 3*d**2 + 7134*d + 2541843. Let p(h) = 2*o(h) - 55*r(h). Let p(x) = 0. What is x?
-713
Let z = -2290432/5 + 458087. Factor -z*m**3 - 3*m**2 + 0 - 9/5*m + 3/5*m**4.
3*m*(m - 3)*(m + 1)**2/5
Factor -1688*r - 3*r**2 - 296581 - 143818 + r**2 + 84231.
-2*(r + 422)**2
Let v(c) be the first derivative of -c**4/42 + 24*c**3/7 - 1296*c**2/7 + 70*c + 145. Let m(o) be the first derivative of v(o). Let m(p) = 0. Calculate p.
36
Let k be (-306)/(-30) + 4*(-4)/80. Let w be k/3*(-3978)/(-585). Solve 8 + 64/3*o**4 - 28/3*o**5 - w*o + 32*o**3 - 88/3*o**2 = 0 for o.
-1, 2/7, 1, 3
Let b(j) be the second derivative of 97/72*j**4 - 3/20*j**5 + 25*j - 4*j**3 + 1/180*j**6 + 16/3*j**2 - 5. Let b(n) = 0. Calculate n.
1, 8
Let x = -689 + 13095/19. Let u = 154749 - 154746. Find f, given that 0 - x*f**u - 8/19*f**5 + 14/19*f**4 + 0*f - 2/19*f**2 = 0.
-1/4, 0, 1
Let v(t) be the second derivative of -t**4/30 + 2*t**3/5 + 11*t**2 - 5187*t. Factor v(z).
-2