 -429 + 22/2. Determine r, given that -5/2*r**t + 0*r + c + 5/4*r**2 = 0.
0, 1/2
Let i(k) = 3*k**3 - 14*k**2. Let d(t) = -5*t**3 - 1462*t**2 - 15340*t - 38600. Let l(n) = d(n) + 3*i(n). Find s such that l(s) = 0.
-5, 386
Factor -1156 - 1/9*l**3 + 98/9*l**2 - 731/3*l.
-(l - 51)**2*(l + 4)/9
Factor 50/3*s - 2 + 32/3*s**3 - 112/3*s**2.
2*(s - 3)*(4*s - 1)**2/3
Let n = 182 - 160. Let p be (-12*(-11)/n)/10. What is i in -2*i**3 + 0 + p*i**4 + 4/5*i**2 + 0*i + 9/10*i**5 = 0?
-2, 0, 2/3
Let d(w) = -w**3 + 39*w**2 - 384*w + 170. Let b be d(17). Suppose b*f + 0*f**2 + 0 + 1/6*f**4 + 5/6*f**3 = 0. What is f?
-5, 0
Let u = 553/1460 + -24/73. Let v(y) be the second derivative of 0*y**2 + u*y**4 - 20*y + 0 + 1/10*y**3. Factor v(o).
3*o*(o + 1)/5
Let m(n) be the first derivative of 4*n**5/5 + 14*n**4 + 292*n**3/3 + 336*n**2 + 576*n + 1741. What is x in m(x) = 0?
-4, -3
Let n(f) be the second derivative of f**7/18900 - f**5/100 - 25*f**4/6 - 64*f. Let y(t) be the third derivative of n(t). Factor y(h).
2*(h - 3)*(h + 3)/15
Let i be 60/(-80) - 30/(-8). Solve h**i - 2*h**3 + h**2 - h**4 + 2*h + 12*h**3 - 13*h = 0.
-1, 0, 1, 11
Suppose -3*c = -11*p + 6*p - 628, -p + 4 = 0. Factor 12*j**3 + c*j - j**2 - 11*j**2 - 3*j**4 - 216*j.
-3*j**2*(j - 2)**2
Let d = -73 - -157. Suppose -16*c**3 - 72*c - 102*c**4 + 50*c**3 + 182*c**5 + d*c**2 + 16 - 146*c**5 = 0. What is c?
-1, 1/2, 2/3, 2
Let q(m) be the first derivative of 2*m**6/21 + 272*m**5/35 + 1222*m**4/7 + 2992*m**3/7 + 2178*m**2/7 - 1021. Factor q(f).
4*f*(f + 1)**2*(f + 33)**2/7
Let c(g) be the third derivative of -g**6/24 + 32*g**5 - 60795*g**4/8 - 186245*g**3/3 - 8*g**2 + 17. Solve c(j) = 0.
-2, 193
Let g(l) be the third derivative of 176*l**2 + 0 - 7/3*l**4 + 0*l + 784/3*l**3 + 1/120*l**5. Factor g(a).
(a - 56)**2/2
Let y(x) be the second derivative of x**4/12 + x**2/2 - 2*x - 22. Let j(c) = 8*c + 4. Let l(k) = -j(k) + 4*y(k). Suppose l(p) = 0. Calculate p.
0, 2
Let c(x) = -5*x**4 - 5*x**3 + 645*x**2 + 875*x - 1475. Let z(y) = 2*y**4 + 2*y**3 - 242*y**2 - 328*y + 553. Let f(m) = 13*c(m) + 35*z(m). Solve f(n) = 0 for n.
-3, 1, 4
Suppose 0 = -4*u - 77 + 389. Suppose -80*f**2 + 4*f - 28*f - 14*f + u*f**2 = 0. Calculate f.
-19, 0
Let v(h) = 1 + 13*h**2 - 4*h**2 + 13*h + 1 + h**3. Let f be v(-4). Factor -f*z**3 + 1 - 1 - 10*z - 7*z**2 - 58*z**2.
-5*z*(z + 2)*(6*z + 1)
Let a be 2/(-5) + (2 - 8184/(-10)). Let o be (-4)/((-112)/a) - 4/14. Factor 3*p + p**2 - 17*p**2 + 2*p**3 + o*p.
2*p*(p - 4)**2
Let s = 1348 - 1346. Let y = -7 - -11. Factor -2*z**3 + 10*z**3 + 0*z**y + 4*z**4 + 4*z**s.
4*z**2*(z + 1)**2
Suppose 31 = v - 60. Let x = v - 49. Suppose -1 - 2*y**3 - 81*y + y**4 + 41*y + x*y = 0. Calculate y.
-1, 1
Find d such that 0 - 2/3*d**4 - 32/15*d + 38/15*d**3 + 16/15*d**2 = 0.
-1, 0, 4/5, 4
Factor -10086/7 - 170/7*m**2 - 2/7*m**3 - 3854/7*m.
-2*(m + 3)*(m + 41)**2/7
Let v(h) be the second derivative of h**9/45360 - h**7/7560 + 119*h**4/12 - 93*h + 1. Let q(d) be the third derivative of v(d). Determine x so that q(x) = 0.
-1, 0, 1
Let r be (1 - (-28)/12)/(32/(-48)). Let m be 900/2970*12*(-1)/r. Let -2/11*q**3 - 2/11*q**2 + 8/11 + m*q = 0. What is q?
-2, -1, 2
Let k = -235 + 240. Determine w so that 3 + 0 + 0 + 2*w**2 - k = 0.
-1, 1
Let h(g) be the second derivative of g**5/30 - 19*g**4/18 - 41*g**3/9 - 7*g**2 + 537*g. Factor h(m).
2*(m - 21)*(m + 1)**2/3
Let n(p) be the third derivative of 2*p**5/75 + 77*p**4/60 + 19*p**3/15 - 807*p**2. Factor n(v).
2*(v + 19)*(4*v + 1)/5
Let r(n) be the first derivative of 242*n**4/5 - 88*n**3/5 + 9*n**2/5 - 1188. Suppose r(i) = 0. Calculate i.
0, 3/22
Let v(t) be the third derivative of t + 1/270*t**5 + 66*t**2 + 0 + 3364/27*t**3 - 29/27*t**4. Let v(n) = 0. Calculate n.
58
Suppose -15*o = -67*o + 109 + 151. Let n(s) be the third derivative of 24*s**3 + 0 + 9*s**2 + 0*s + 2*s**4 + 1/15*s**o. Let n(u) = 0. What is u?
-6
Let m(q) be the third derivative of -2*q**5/75 + 43*q**4/60 - 2*q**3 + 3*q**2 - 22. Factor m(o).
-2*(o - 10)*(4*o - 3)/5
Find p, given that 18 - 12*p**4 - 112*p + 14 - 30983*p**2 + 28*p**3 + 31023*p**2 = 0.
-2, 1/3, 2
Factor -17/3*g**3 - 288 + 288*g + 6*g**2 - 1/3*g**4.
-(g - 6)*(g - 1)*(g + 12)**2/3
Suppose 224*k + 40*k - 482 - 46 = 0. Suppose 3*u = -w - 9, -3*w - 2*u + 2 - 8 = 0. Factor -8/7*b - 4/7*b**k + w.
-4*b*(b + 2)/7
Let f = -397/14 + 996/35. Let q(j) be the second derivative of -1/2*j**4 - f*j**5 + 5/3*j**3 + 0 - 2*j**2 - 19*j + 1/15*j**6. Factor q(g).
2*(g - 1)**3*(g + 2)
Suppose 5*v + 3*z - 182 = 0, 0 = 4*z + 2 - 18. Find a such that 15 + 15 - a**2 + 4*a - v = 0.
2
Let f = -15290 - -15294. Let n(v) be the second derivative of 0 + 5/12*v**3 - 1/6*v**f - 1/40*v**5 + 14*v + 0*v**2. What is l in n(l) = 0?
-5, 0, 1
Let p(n) be the first derivative of -n**4/2 + 10*n**3 - 63*n**2 + 162*n - 3589. Factor p(t).
-2*(t - 9)*(t - 3)**2
Let u be 1/(2/64) + 51 + -53. Let a be (-1353)/(-1848) + 2 + u/(-16). Suppose a*p**3 + 0 + 4/7*p**2 + 0*p + 2/7*p**4 = 0. Calculate p.
-2, -1, 0
Let n(q) be the third derivative of -q**7/18900 + 7*q**6/900 - 49*q**5/100 - 23*q**4/24 - 2*q**2 - 87. Let c(w) be the second derivative of n(w). Factor c(a).
-2*(a - 21)**2/15
Let n(t) be the first derivative of 9*t**4/4 + 5*t**3 - 153*t**2/2 - 351*t - 867. Factor n(g).
3*(g + 3)**2*(3*g - 13)
Factor 399/4*f - 306 + 3/4*f**2.
3*(f - 3)*(f + 136)/4
Let g be ((-20)/7)/(167 - 169). Let j(z) be the first derivative of 4/21*z**3 - g*z**2 + 1/7*z**4 + 12/7*z - 7. Find b such that j(b) = 0.
-3, 1
Let i(p) be the third derivative of -p**5/80 - 211*p**4/32 + 53*p**3/2 - 1558*p**2. Factor i(g).
-3*(g - 1)*(g + 212)/4
Suppose 64*j**2 + 1100*j**2 + 3222*j + 1610 - 248*j**2 + 2*j**3 + 698*j**2 = 0. What is j?
-805, -1
Let v(h) = h**2 - 1496*h - 12028. Let l be v(-8). Let c(o) be the first derivative of 36 - 1/9*o**3 - 1/12*o**l + 2/3*o**2 + 4/3*o. Factor c(m).
-(m - 2)*(m + 1)*(m + 2)/3
Factor -200 + 1/3*y**3 - 154/3*y**2 + 604/3*y.
(y - 150)*(y - 2)**2/3
Let x be 22/(-33)*-6 + (-40508)/7412. Let y = 7/109 - x. Factor 0 + 8/17*k + y*k**3 - 12/17*k**4 + 2/17*k**5 - 24/17*k**2.
2*k*(k - 2)**2*(k - 1)**2/17
Let k = -307630 - -1230521/4. Factor 15/4*s + 4 - k*s**2.
-(s - 16)*(s + 1)/4
Suppose 31 = 17*y - 105. Factor 2*q - 3*q - 3*q**2 + y*q - q.
-3*q*(q - 2)
Let f = -6804 + 74862/11. Find d, given that f + 2/11*d**5 - 28/11*d**2 - 6/11*d + 10/11*d**4 + 4/11*d**3 = 0.
-3, -1, 1
Let s(p) be the third derivative of p**5/540 + 403*p**4/27 + 1299272*p**3/27 + 21*p**2 + 2*p + 1. Solve s(n) = 0.
-1612
Let p(v) be the third derivative of -2*v**7/945 + 7*v**5/45 - 10*v**4/27 - 11*v**2. Suppose p(q) = 0. Calculate q.
-5, 0, 1, 4
Let u be 1430/(-27885) - (-790)/195. Let -6*n**5 + 27/2 + 81*n**u + 2919/8*n**2 - 2619/8*n**3 - 126*n = 0. Calculate n.
1/4, 1, 6
Let s(a) be the second derivative of -a**4/60 - 26*a**3/15 + 53*a**2/10 + 45*a - 5. Factor s(u).
-(u - 1)*(u + 53)/5
Let v(u) = -78*u**2 - 959*u + 6600. Let p(c) = -16*c**2 - 190*c + 1320. Let h(r) = -29*p(r) + 6*v(r). Factor h(m).
-4*(m - 5)*(m + 66)
Determine b, given that -7509*b**2 - 17*b**4 - 214*b**3 + 3*b**5 + 7005*b**2 + 5*b**4 - 33*b**4 - 140*b**3 = 0.
-4, -2, 0, 21
Let h(d) be the third derivative of -d**7/315 + 139*d**6/90 - 1426*d**5/5 + 43245*d**4/2 + 89373*d**3 + 315*d**2 + 2. Factor h(p).
-2*(p - 93)**3*(p + 1)/3
Suppose 2*n + 170 - 176 = 0. Let x(b) be the first derivative of -2/7*b**n - 1/14*b**4 - 2/7*b**2 + 0*b - 50. Factor x(l).
-2*l*(l + 1)*(l + 2)/7
Suppose 0 = -3*y + 6*y - 60. Suppose -40*h - y = -45*h. Suppose 7*s**2 + s**3 - 3*s**2 - 7*s**4 - h*s + 3*s**4 + 3*s**3 = 0. Calculate s.
-1, 0, 1
Let h(u) = -38*u**2 + 8050*u + 5398. Let k(s) = 135*s**2 - 28173*s - 18894. Let q(w) = 18*h(w) + 5*k(w). Factor q(o).
-3*(o - 449)*(3*o + 2)
Factor 804*a - 535*a + 3*a**3 + 678*a**2 + 407*a - a**3.
2*a*(a + 1)*(a + 338)
Suppose -4*u - 62*u = 31*u - 388. Let g(n) be the second derivative of -19*n - 1/3*n**u - 4/3*n**3 + 0 - 2*n**2. Factor g(j).
-4*(j + 1)**2
Find d such that d**2 - 318*d + 157*d - 333*d - 4*d**2 - 217*d = 0.
-237, 0
Let a(c) be the second derivative of -4*c + 392/3*c**2 - 8 + 28/9*c**3 + 1/36*c**4. Determine b so that a(b) = 0.
-28
Suppose 34*g + 334*g = 171*g - 327*g. Let j(c) be the second derivative of 1/10*c**5 + 1/3*c**3 + 42*c + 0 -