)*(g + 5)
Let i = 15701 - 15701. Let j(w) be the third derivative of -1/24*w**4 + i*w + 1/360*w**5 + 0 - 6*w**2 + 1/4*w**3. Find a, given that j(a) = 0.
3
Let l = 65902 + -65900. Let -2/3*h**l + 12*h + 80/3 = 0. Calculate h.
-2, 20
Let h = 105668 - 739674/7. Determine v, given that 6/7*v + 2/7*v**2 - 4/7 - 6/7*v**3 + h*v**4 = 0.
-1, 1, 2
Let v(d) = -d - 6. Let j be v(-9). Let 14 + 5*m + 4 - 4*m - 16*m - j*m**2 = 0. What is m?
-6, 1
Let h = -82 - -87. Find z such that -787*z**3 + 781*z**3 + z**5 + h*z + z**4 + 2*z**2 + 0 - 3 = 0.
-3, -1, 1
Let -12610/11*f**2 + 4970704/11*f + 8/11*f**3 - 1241888/11 = 0. Calculate f.
1/4, 788
Suppose -148 - 513*p - 4*p**4 - 324 + 476*p**2 + p**4 - p**4 + 468*p**3 + 45*p = 0. What is p?
-1, 1, 118
Let d be (-102)/36 - ((-385)/120 + 2/(-16)). Let -1/2*f**2 + 0 + 3/2*f**3 - 1/2*f**5 - f + d*f**4 = 0. What is f?
-1, 0, 1, 2
Let d = 5/38173 + -84591403/267211. Let q = 318 + d. Factor -q + 8/7*u**2 + 2/7*u.
2*(u - 1)*(4*u + 5)/7
Suppose 131 - 665 = -178*p. Let s(o) be the second derivative of p + 7/2*o**2 + o + 1/12*o**4 - 4/3*o**3. Solve s(v) = 0 for v.
1, 7
Let h(p) be the second derivative of p**5/40 - p**4/2 + 3*p**3 - 41*p**2 + 13*p. Let v(x) be the first derivative of h(x). Factor v(o).
3*(o - 6)*(o - 2)/2
Find n, given that 29/7*n**2 + 1/7*n**3 + 32*n + 28 = 0.
-14, -1
Find y such that 0 + 124/3*y - 2/3*y**5 - 102*y**2 + 238/3*y**3 - 18*y**4 = 0.
-31, 0, 1, 2
Let q(b) be the third derivative of 0 + 0*b**4 + 0*b**6 - 1/735*b**7 - b**2 + 1/105*b**5 - 22*b - 1/21*b**3. Determine v, given that q(v) = 0.
-1, 1
Let s(y) be the second derivative of 5/6*y**4 - 6*y**2 + 4*y - 1/3*y**3 - 1. Factor s(u).
2*(u + 1)*(5*u - 6)
Let u(k) be the third derivative of -k**5/180 - 89*k**4/72 - 29*k**3/3 + 3798*k**2. Find i, given that u(i) = 0.
-87, -2
Solve 1323*m**5 - 3477*m + 40887*m**4 + 77985*m**3 + 32277*m**3 + 31026*m**2 + 87 - 36108*m**3 = 0.
-29, -1, 1/21
Let c(h) be the second derivative of h**5/120 - 583*h**4/72 + 871*h**3/18 - 290*h**2/3 - 9584*h. Solve c(a) = 0 for a.
1, 2, 580
Let j(i) be the first derivative of -i**3/8 - 3*i**2 + 891*i/8 + 524. Factor j(h).
-3*(h - 11)*(h + 27)/8
Let v(w) be the third derivative of -w**5/30 - 507*w**4/4 + 1522*w**3/3 - 5563*w**2. Factor v(i).
-2*(i - 1)*(i + 1522)
Let o(q) = -13*q**3 - 92*q**2 - 18*q - 77. Let x be o(-7). Let z(l) be the second derivative of x - 2/7*l**2 + 1/21*l**3 - 5*l + 1/42*l**4. Factor z(f).
2*(f - 1)*(f + 2)/7
Suppose 42*v + 13 = -14 + 195. Let r(h) be the first derivative of -4*h - v*h**2 + 21 - 4/3*h**3. Factor r(g).
-4*(g + 1)**2
Let t be ((-1410)/72 + 19)*1/(-7). Let n(c) be the first derivative of -c - t*c**4 - 5/9*c**3 - 7/6*c**2 + 10. Solve n(k) = 0 for k.
-3, -1
Let a(p) be the second derivative of -2*p**7/147 - 64*p**6/105 + 67*p**5/35 - 34*p**4/21 + 3989*p. Factor a(u).
-4*u**2*(u - 1)**2*(u + 34)/7
Suppose 304 - 1432 = -122*j - 160*j. Determine v, given that -3/2*v + 0 + 3*v**j + 7*v**2 - 17/2*v**3 = 0.
0, 1/3, 1, 3/2
Let g = -7124/913 + 2202/83. Determine t so that -20/11 + 26/11*t + g*t**2 + 40/11*t**3 = 0.
-5, -2/5, 1/4
Let b = -953/105 + 137/15. Let h(g) be the second derivative of 0 - 4/21*g**4 - 3/7*g**2 + b*g**5 - 11/21*g**3 - 2*g. What is l in h(l) = 0?
-1/2, 3
Suppose 34 = -5*g + 2*d, 8*d = 4*d - 12. Let i be 44*(-2 + 2 - 2/g). Suppose -i*u - 8 + 1 + 14*u**2 + 91*u - 17 = 0. Calculate u.
-6, 2/7
Factor 16/5*r**2 + 0 + 4*r - 4/5*r**3.
-4*r*(r - 5)*(r + 1)/5
Determine r, given that -736/9*r**3 + 494/3*r**2 - 1480/9 - 2/9*r**4 + 736/9*r = 0.
-370, -1, 1, 2
Let b(f) be the third derivative of f**8/784 + 9*f**7/490 - 3*f**6/140 - 103*f**5/70 - 507*f**4/56 - 45*f**3/2 - 486*f**2. Find u such that b(u) = 0.
-7, -3, -1, 5
Let h = 25 - 235. Let m be 1*-2*h/525. Suppose 26/15*g + 14/15*g**2 + m = 0. Calculate g.
-1, -6/7
Let x be (-2681)/13788*(-200)/35. Factor -x*t + 0 - 2/9*t**2.
-2*t*(t + 5)/9
Factor 79 - 87/8*m + 1/8*m**2.
(m - 79)*(m - 8)/8
Solve 1/7*f**5 + 0 - 16/7*f**2 + 0*f - 8/7*f**4 + 20/7*f**3 = 0 for f.
0, 2, 4
Let p(d) be the third derivative of -d**8/336 - d**7/35 - d**6/60 + 4*d**5/15 + d**4/8 - 5*d**3/3 + 883*d**2. Solve p(k) = 0 for k.
-5, -2, -1, 1
Let i be (18/3)/(18/4*(-44)/(-66)). Determine t so that 0 - 1/3*t**i - 1/3*t = 0.
-1, 0
Let l(x) = 10*x + 233. Let s = -1605 - -1582. Let j be l(s). Factor 2/5*g**j - 8/5*g**2 - 22/5*g - 12/5.
2*(g - 6)*(g + 1)**2/5
Let -336/19*f + 0 - 106/19*f**2 + 2/19*f**3 = 0. What is f?
-3, 0, 56
Let f = 3513 + -3511. Let v(q) be the first derivative of -34 + 3/4*q**f + 1/6*q**3 - 2*q. Factor v(w).
(w - 1)*(w + 4)/2
Let v(y) be the first derivative of -y**6/780 - 3*y**5/65 + y**4/156 + 6*y**3/13 + 35*y**2 - 72. Let b(w) be the second derivative of v(w). Factor b(p).
-2*(p - 1)*(p + 1)*(p + 18)/13
Let b(h) = 3*h**2 + 15*h + 7. Let t(p) = p - 22. Let g be t(6). Let c = g + -12. Let x(k) = k. Let r(o) = c*x(o) - 4*b(o). Factor r(m).
-4*(m + 7)*(3*m + 1)
Solve -2/5*o**2 + 52 + 258/5*o = 0 for o.
-1, 130
Let a be (-488)/32 + 15 + 66/8 + -5. Find t such that -7/2 + 18*t**a + 18*t - 2*t**4 - 61/2*t**2 = 0.
1/2, 1, 7
Suppose -1068 - 4*g**3 - 23*g + 130*g - 22*g - 81*g + 1068*g**2 = 0. What is g?
-1, 1, 267
Let k(d) = -2*d + 19. Let t(c) = -2*c + 18. Let p(i) = 3*k(i) - 2*t(i). Let v be p(9). Determine q so that 22*q**3 + 26*q**v - 46*q**3 - 2*q**5 = 0.
-1, 0, 1
Let z(a) = -8*a**3 - 3*a**2 + 2. Let h be z(-1). Find b, given that 2*b**4 + 373*b - 363*b - h*b**4 + 15*b**2 = 0.
-1, 0, 2
Let -117/7*g + 3/7*g**3 - 540/7 + 30/7*g**2 = 0. Calculate g.
-12, -3, 5
Factor -44/3*p**2 + 428*p - 232/3.
-4*(p - 29)*(11*p - 2)/3
Solve 10*h**2 - 42*h + 86 - 11*h**2 - 6*h - 213 - 449 = 0.
-24
Let n(c) be the third derivative of 4/165*c**5 + 6/11*c**3 + 7/44*c**4 + 0*c + 0 + 1/660*c**6 + 30*c**2. Solve n(m) = 0.
-3, -2
Factor 5/2*h**3 - 600 + 1060*h - 203/2*h**2.
(h - 20)**2*(5*h - 3)/2
Suppose 2521*o + 586 = 10670. Let 0 - 4/3*v - 2/9*v**o + 4/9*v**3 + 10/9*v**2 = 0. Calculate v.
-2, 0, 1, 3
Let o be 1/(-70)*(-300)/(-80)*(-14)/36. Let w(r) be the third derivative of 17*r**2 + 0*r**3 + 0*r + 1/240*r**5 + 0 - o*r**4. Factor w(i).
i*(i - 2)/4
Let d(c) be the second derivative of -c**4/36 - 29*c**3/6 - 595*c**2/3 - 5990*c. Determine h, given that d(h) = 0.
-70, -17
Factor -t**2 + 1356 - 633 + 42*t + 501 + 13*t.
-(t - 72)*(t + 17)
Let l(f) = 3*f**2 - 11*f + 32*f - 7 - 2*f**2 - 22*f. Let t be l(-6). What is c in -7 + 11*c + 3 + 6*c**3 - t*c - 35*c**2 + 9*c**4 = 0?
-2, -1/3, 2
Suppose 21*w = 10*w - 121. Let o be w + 5 + 8 + -2. Factor 16/5*m**3 + o*m**2 + 64/5 - 4/5*m**4 - 64/5*m.
-4*(m - 2)**3*(m + 2)/5
Let i(t) = -2*t**3 + 82*t**2 - 300*t + 290. Let x(n) = -n**3 + 2*n**2 - 2. Let g(b) = i(b) + x(b). Factor g(r).
-3*(r - 24)*(r - 2)**2
Find q such that 0 + 2/7*q**3 + 20/7*q + 2*q**2 = 0.
-5, -2, 0
Suppose 24 = -2*w + 28. Factor -2*m**w + 4*m**2 + 18*m**2 + 45 + 10*m - 70*m.
5*(2*m - 3)**2
Factor -5000*p**3 - 1324*p - 968 - 2877*p - 2118*p - 5858*p**2 + 247*p - 4192*p**2.
-2*(4*p + 1)*(25*p + 22)**2
Let a(g) be the second derivative of 141*g**5/70 + 139*g**4/42 - 2*g**3/21 - 124*g + 3. Factor a(z).
2*z*(z + 1)*(141*z - 2)/7
Let z(y) = 2*y - 7. Let f be z(2). Let u be ((-266)/(-42) + -7)/(f + -1). Suppose -u*i**4 - 5/2*i**2 + 7/6*i**3 + 3/2*i + 0 = 0. What is i?
0, 1, 3
Find o, given that 2/9*o**5 - 22/9*o**3 + 20/9*o + 6*o**2 - 16/3 - 2/3*o**4 = 0.
-3, -1, 1, 2, 4
Let r(c) = 190*c**2 - 1525*c + 865. Let g(f) be the first derivative of -7*f**3 + 169*f**2/2 - 96*f - 19. Let t(h) = -55*g(h) - 6*r(h). Factor t(n).
5*(n - 9)*(3*n - 2)
Suppose -3*x + 18*u + 189 = 0, -x + 1049*u + 47 = 1045*u. What is b in 18*b**3 + x*b**2 - 144*b + 54 + 15/8*b**4 = 0?
-6, 2/5, 2
Let b(w) = 3*w**3 - 4*w**2 - 3*w + 3. Let t be b(2). Let y = 12 + t. Determine o so that -28*o**2 - 42*o - o**3 - 135 - 4*o**3 - y*o**2 - 93*o = 0.
-3
Let j(v) be the third derivative of 1/6*v**5 + 0 - 125/24*v**4 + 0*v - 257*v**2 + 10*v**3. Factor j(z).
5*(z - 12)*(2*z - 1)
Let c = -316850 - -316850. Factor 11/4*v**2 - v**3 - 1/4*v**4 + c - 3/2*v.
-v*(v - 1)**2*(v + 6)/4
Let h(w) be the second derivative of -4/5*w**5 + 0*w**2 - 31*w - 49/3*w**3 - 1/30*w**6 - 2 - 77/12*w**4. Determine z, given that h(z) = 0.
-7, -2, 0
Let q(v) = 6*v**2 + 22*v - 37. Let r be q(-5). Let m(i) be 