 Let y(s) = -2*s**4 - 4*s**3 - 7*s**2 + 16*s + 12. Let f(o) = -3*d(o) + 4*y(o). Find c, given that f(c) = 0.
-4, -2, 0, 1
Let x(w) be the first derivative of -2*w**3/27 - 362*w**2/3 - 2170*w/9 + 5706. Factor x(m).
-2*(m + 1)*(m + 1085)/9
Let h = -7401691/6573 + -332/939. Let x = -1126 - h. Determine n so that 3/7 - x*n**2 + 3/7*n**3 - 3/7*n = 0.
-1, 1
Find d, given that 4427405/4*d**2 + 4705/2*d**3 + 5/4*d**4 + 0*d + 0 = 0.
-941, 0
Let g(j) be the third derivative of 178*j**2 + 1/20*j**5 - 2*j**3 + 0 + 0*j + 3/8*j**4. Find y, given that g(y) = 0.
-4, 1
Let k(w) = -w. Let r(n) = -2*n**2 + 20*n. Let u be (-3 + 7)*(-3)/6. Suppose -p + 2*p + 36 = 0. Let l(q) = p*k(q) + u*r(q). Factor l(f).
4*f*(f - 1)
Suppose 167*v + 44312 = 53*v + 44540. What is w in 2*w - 18/5*w**2 + 4/5 - v*w**3 + 14/5*w**4 = 0?
-1, -2/7, 1
Let r be (-1192)/(-14)*3/6. Let m = 43 - r. Let -12/7*a - 12/7 + 3/7*a**2 + m*a**3 = 0. What is a?
-2, -1, 2
Let n(h) be the first derivative of -2*h**5/45 + 2*h**4/3 - 4*h**3/9 - 52*h**2/9 - 22*h/3 + 770. Solve n(u) = 0 for u.
-1, 3, 11
Let f = -635 - -637. Factor -5*k**4 + 145*k + 15*k**f - 4082*k**3 + 0*k**2 + 4037*k**3 + 90.
-5*(k - 2)*(k + 1)**2*(k + 9)
Let j be 1*((-323)/(-76) + -4). Let t(g) be the second derivative of 5/2*g**4 + 5*g + j*g**5 + 10*g**3 + 0 + 20*g**2. Factor t(c).
5*(c + 2)**3
Find n such that 390/11*n**3 - 18/11*n**4 - 76/11 + 498/11*n - 938/11*n**2 = 0.
1/3, 2, 19
Let v(q) = -q**2 + q + 16. Let w be v(4). Factor -43*t**4 - 106 + 44*t**w + 107 - 2*t**2.
(t - 1)**2*(t + 1)**2
Let u = 612 - 603. Suppose u*s + 48 = 33*s. Factor 3/5*g**3 + 0*g**s + 0*g + 0.
3*g**3/5
Let x(k) be the third derivative of k**5/180 - 101*k**4/18 + 403*k**3/18 + k**2 + 372*k - 4. Factor x(u).
(u - 403)*(u - 1)/3
Let r(w) be the third derivative of -w**8/112 - w**7/15 - 7*w**6/40 - w**5/6 - 8*w**2 - 6*w. Suppose r(q) = 0. What is q?
-2, -5/3, -1, 0
Let 0 + 1100/9*t + 122/9*t**2 + 2/9*t**3 = 0. What is t?
-50, -11, 0
Suppose -2/25*f**3 + 176/25*f + 14/25*f**2 + 56/5 = 0. Calculate f.
-5, -2, 14
Factor -283*c - 649*c**3 + 1290*c**3 + 89*c - 464*c + 68*c**2 + 1960 - 643*c**3.
-2*(c - 20)*(c - 7)**2
Let c(k) be the first derivative of 70/3*k**3 + 2*k - 101 - 11*k**2 - 25/2*k**4. Find m, given that c(m) = 0.
1/5, 1
Let w(t) be the third derivative of t**7/105 + 67*t**6/30 + 949*t**5/6 + 4225*t**4/3 + 1535*t**2. Factor w(n).
2*n*(n + 4)*(n + 65)**2
Find r such that 4/7 + 2/7*r**2 + 6/7*r = 0.
-2, -1
Suppose 0 = -370*g + 230*g. What is a in -7*a**2 - 2/3*a + g = 0?
-2/21, 0
Let f = 685 - 194. Determine o, given that f*o + 5*o**2 - 45*o**3 - 446*o - 25 + 10*o**4 + 10*o**4 = 0.
-1, 1, 5/4
Factor 77702 + 2*s**2 + 191266 + s**2 - 609 + 1641 - 1800*s.
3*(s - 300)**2
Let t(y) = -5*y**2 - 610*y. Let l(z) = 4*z**2 + 611*z. Let d(b) = -4*l(b) - 3*t(b). Factor d(c).
-c*(c + 614)
Determine i so that 128/3*i**3 + 1/3*i**4 + 1322*i**2 - 8320/3*i + 4225/3 = 0.
-65, 1
Let 0*c + 0 + 0*c**2 + 4/3*c**4 - 136*c**3 = 0. What is c?
0, 102
Let s be (-172000)/(-440) - (24/(-15))/(3/(-15)). Determine x so that -39208/11*x + s*x**2 - 158/11*x**3 + 2/11*x**4 + 35152/11 = 0.
1, 26
Let -1199*g + 78*g**3 + 125*g**2 - 836*g**2 + 3791*g - 114*g**4 + 111*g**4 - 2916 = 0. Calculate g.
2, 6, 9
Let g(j) = -260*j**3 + 8042*j**2 + 32398*j + 32418. Let f(n) = -23*n**3 + 731*n**2 + 2945*n + 2947. Let u(b) = 68*f(b) - 6*g(b). Factor u(l).
-4*(l - 368)*(l + 2)**2
Let n be 14/49 - (1 - (-12880)/147). Let h = 269/3 + n. Suppose 4 - 16/3*z + h*z**2 = 0. What is z?
1, 3
Let c(x) be the second derivative of 6/7*x**2 - 1/21*x**3 - 1 - 22*x - 1/42*x**4. Suppose c(n) = 0. What is n?
-3, 2
Let -6*w**3 + 24*w + 0 - 2/5*w**5 + 24/5*w**4 - 112/5*w**2 = 0. What is w?
-2, 0, 1, 3, 10
Let l(s) be the third derivative of -s**7/245 + 17*s**6/210 - 13*s**5/70 - s**4/7 + 20*s**3/21 + 2848*s**2. Suppose l(g) = 0. Calculate g.
-2/3, 1, 10
Suppose 3*s - 15 = -24. Let f = s + 7/2. Suppose -f*n**2 - 25/2 - 5*n = 0. Calculate n.
-5
Let m(z) = 10 + 24*z - 50*z + 22 + 5 - 4 - 11*z**2. Let j(u) = -31*u**2 - 79*u + 99. Let q(v) = 4*j(v) - 11*m(v). Factor q(f).
-3*(f - 1)*(f + 11)
Let z(t) be the third derivative of -t**6/720 + 239*t**5/180 + 481*t**4/144 - 479*t**3/18 + 4189*t**2. Factor z(x).
-(x - 479)*(x - 1)*(x + 2)/6
Suppose o - 5*i + 77 = 104, 11 = 3*o - i. Let d be ((-4 - -2) + 4)*4/20. Let -d*m**o - 2/15*m**3 - 4/15*m + 0 = 0. Calculate m.
-2, -1, 0
Let w(s) = s**2 + 50*s - 3. Let o(t) = 2*t**2 + 88*t - 9. Let b(q) = 4*o(q) - 7*w(q). Suppose b(n) = 0. What is n?
-5, 3
Let o = 105372543/400 - 263431. Let f = o - -7/400. Find n such that -33/8*n + 21*n**4 - 6*n**5 - 219/8*n**3 + 129/8*n**2 + f = 0.
1/4, 1
Let d(z) be the third derivative of -z**5/12 + 35*z**4/6 - 80*z**3 - 1129*z**2. What is o in d(o) = 0?
4, 24
Let o = -520996/255 - -34860/17. Let 4/15*j**4 + 8/5*j + 98/15*j**3 - 14/15*j**5 - o*j**2 + 0 = 0. Calculate j.
-3, 0, 2/7, 1, 2
Let o(f) = f**5 - 17*f**4 - 3*f**3 + 35*f**2 + 2*f - 27. Let d(x) = -x**4 + x**3 + x**2 - x - 1. Let h(q) = 18*d(q) - 2*o(q). Let h(g) = 0. What is g?
-2, -1, 1, 9
Let t(c) be the first derivative of c**5/15 - 17*c**4/12 + 11*c**3/9 + 77*c**2/6 + 16*c + 2160. Factor t(x).
(x - 16)*(x - 3)*(x + 1)**2/3
Suppose 1227*h + 297*h**2 - 469*h**3 + h**5 - 14295*h + 1612*h**3 + 67*h**4 = 0. Calculate h.
-33, -4, 0, 3
Let g(s) = -9*s**3 + 320*s**2 - 2057*s - 5382. Let d(f) = 3*f**3 - 107*f**2 + 686*f + 1794. Let t(p) = 14*d(p) + 5*g(p). Factor t(w).
-3*(w - 23)*(w - 13)*(w + 2)
Let t be 27/(-18) - -3 - 3/(-2). Factor -8*d**2 + 14*d**2 + 12*d**4 - t*d**2 + 15*d**3.
3*d**2*(d + 1)*(4*d + 1)
Let c(i) = 39*i**4 + 60*i**3 - 275*i**2. Let y(p) = -14*p**4 - 20*p**3 + 90*p**2. Let b(k) = -3*c(k) - 8*y(k). Solve b(l) = 0.
-7, 0, 3
Let p(y) be the first derivative of 9 - 4*y - 10*y**2 - 52 - 4*y**3 + 9*y**4 - 10*y**4 + 4*y**2. Determine f so that p(f) = 0.
-1
Let j(p) be the first derivative of 14/5*p**2 + 112 - 6*p + 2/15*p**3. Factor j(a).
2*(a - 1)*(a + 15)/5
Let u = -3062 + 183721/60. Let g(c) be the second derivative of 1/30*c**3 - 6*c - 1/5*c**2 + 0 + u*c**4. What is l in g(l) = 0?
-2, 1
What is c in -717363 - 2440*c - 2222*c + 0*c**2 + 1728*c - 3*c**2 = 0?
-489
Let t(x) = x**3 + 13*x**2 + 14*x - 6. Let m(o) = -4*o**3 - 39*o**2 - 42*o + 21. Let j(v) = 4*m(v) + 14*t(v). Let j(d) = 0. What is d?
-1, 0, 14
Let y = 10141/8 - 111535/88. Factor -4/11*x**4 + y*x**3 + 2/11*x**5 + 0*x**2 + 0 + 0*x.
2*x**3*(x - 1)**2/11
Factor -328*m - 59647 - 395*m**2 - 76149 - 310*m + 394*m**2 + 34035.
-(m + 319)**2
Let q(a) be the third derivative of 0*a**3 + 2*a**2 - 1/115*a**5 + 1/2415*a**7 - 1/1380*a**6 - 8*a + 0*a**4 + 0. Factor q(i).
2*i**2*(i - 3)*(i + 2)/23
Suppose 778*z - 1082 - 1252 = 0. Factor 98/9*q + 2/9*q**z + 16/3 + 52/9*q**2.
2*(q + 1)**2*(q + 24)/9
Let l be (-6)/18*(-478 + -11). Suppose -17 = -10*k + l. Factor 3*g + k*g**3 + 27/2*g**2 + 15/2*g**4 + 0.
3*g*(g + 1)**2*(5*g + 2)/2
Let d(v) be the first derivative of 4*v**5/25 - 2*v**4/5 - 64*v**3/5 + 448*v**2/5 - 1024*v/5 + 8075. Factor d(g).
4*(g - 4)**2*(g - 2)*(g + 8)/5
Let w(x) be the second derivative of -2*x**6/15 + 7*x**5/5 - 17*x**4/3 + 34*x**3/3 - 12*x**2 + 4*x - 73. Let w(t) = 0. Calculate t.
1, 2, 3
Let t = -30 + 129. Find i such that 74*i**3 - 36*i**2 - 81*i - 3*i**4 + t*i - 135*i**2 - 234*i - 116*i**3 = 0.
-8, -3, 0
What is r in -26 + 7647*r**2 - 2*r**5 - 7763*r**2 + 22*r**4 + 12*r**3 - 170*r - 40 = 0?
-1, 3, 11
Let k be ((-3)/(-3))/(10/15 - 1). Let w be k/6*20/(-30). Solve d - w*d**2 - 2/3 = 0.
1, 2
Let i be -2 - (-5 - (2 + 0)). Suppose 2*c = i + 1. Solve 122*s**5 + 253*s**5 + 1200*s**4 + 46*s - 6*s + 8*s + 1080*s**c + 384*s**2 = 0.
-2, -2/5, 0
Let m(f) be the second derivative of f**4/4 + 318*f**3 + 151686*f**2 - 292*f. What is b in m(b) = 0?
-318
Factor -1146/5 - 6/5*a**2 - 1152/5*a.
-6*(a + 1)*(a + 191)/5
Let q(k) be the third derivative of -26*k**2 + 13/100*k**5 + 2/5*k**3 + 2/5*k**4 + 0 + 3/200*k**6 + 0*k. Suppose q(r) = 0. Calculate r.
-2, -1/3
Let u(i) be the second derivative of 1/160*i**5 + 0*i**3 + 0 + 8*i + 7*i**2 - 1/64*i**4. Let l(d) be the first derivative of u(d). Let l(t) = 0. Calculate t.
0, 1
Find d, given that -2/3*d**4 + 1332*d - 456*d**2 - 1314 + 164/3*d**3 = 0.
3, 73
Suppose 0 = -19*t + 78 - 21. Factor 56*p**3 + 36*