vative of -x**5/20 + x**4/2 - 3*x**3/2 + x**2/2 - 27*x - 64. Let k(m) be the second derivative of q(m). Find y such that k(y) = 0.
1, 3
Suppose 21 - 3 = 3*t. Let j be ((-124)/372)/((-1)/t). Factor 3/4*n**3 + 3/4*n**j - 3 - 3*n.
3*(n - 2)*(n + 1)*(n + 2)/4
Solve 2/7*u**4 - 48/7 - 116/7*u - 86/7*u**2 - 16/7*u**3 = 0 for u.
-2, -1, 12
Let a = -2058789 - -879103356/427. Let y = 5/61 + a. Suppose -8/7 - 2/7*l**2 - y*l = 0. What is l?
-2
Let j(c) be the first derivative of c**5/15 - 137*c**4/2 + 168097*c**3/9 + 56444*c**2 + 169744*c/3 + 1117. Determine n, given that j(n) = 0.
-1, 412
Suppose 0 = 5*s - 10, -4*a = s + 12 - 22. Suppose 2*i + 3*i = d - 18, 28 = a*d - 2*i. Factor -1/6*v**4 + 56/3*v + 8/3*v**3 - 49/6 - d*v**2.
-(v - 7)**2*(v - 1)**2/6
Let n(t) be the second derivative of -t**4/3 + 430*t**3/3 + 1308*t**2 - 3912*t. Find o, given that n(o) = 0.
-3, 218
Solve 3*j + 45 - 271*j**2 + 273*j**2 + 93 + 49*j = 0.
-23, -3
Determine o, given that -2/11*o**4 - 56/11 + 8/11*o**3 + 42/11*o**2 + 8/11*o = 0.
-2, 1, 7
Let j(l) be the third derivative of -l**6/200 - 9*l**5/50 - 77*l**4/40 - 6*l**3 - 2*l**2 - 315*l. Let j(r) = 0. Calculate r.
-12, -5, -1
Let d = 377587757/1617 - 233511. Let k = d - 16/147. Determine l, given that 38/11*l + 42/11*l**2 + k*l**4 + 12/11 + 18/11*l**3 = 0.
-6, -1
Suppose 4*f - v = 12, 0 = -5*f - 2*v - 2*v + 15. Let q be (20 + -115)/(-19) - (-14)/(-6). Factor 4*k + 1/6*k**f - q - 3/2*k**2.
(k - 4)**2*(k - 1)/6
Let z = 55406 + -720276/13. Factor -z*x**3 + 2*x**2 + 72/13 - 80/13*x.
-2*(x - 9)*(x - 2)**2/13
Factor 5*u**4 + 712274*u + 400141*u**2 - 3748*u**3 - 507328 + 175074*u - u**4 + 475943*u**2 - 1252360.
4*(u - 469)**2*(u - 1)*(u + 2)
Let a(m) be the first derivative of -m**6/600 + m**5/50 - 3*m**4/40 + 2*m**3/15 + 40*m**2 - 6. Let o(l) be the second derivative of a(l). Factor o(u).
-(u - 4)*(u - 1)**2/5
Let q = 349269 - 349269. Factor 4/13*z**2 + 0*z + 0 + q*z**4 + 6/13*z**3 - 2/13*z**5.
-2*z**2*(z - 2)*(z + 1)**2/13
Suppose 153 + 67 = -5*u. Let m = u - -48. Factor -5*f**3 + f**3 + 4*f - m*f**4 + 2 + 3*f**4 - f**4.
-2*(f - 1)*(f + 1)**3
Let y(x) = -365*x + 0*x**2 + 366*x + x**2. Let m(k) = 20*k**2 - 60*k - 80. Let f(n) = -m(n) + 25*y(n). Factor f(i).
5*(i + 1)*(i + 16)
Let l(q) be the third derivative of 1/55*q**6 + 9 + 0*q**3 + 3/22*q**4 + 0*q + 7*q**2 + 29/330*q**5 + 1/1155*q**7. Find n such that l(n) = 0.
-9, -2, -1, 0
Let v(l) = -l**3 + 3*l**2 + 8*l - 12. Let p be v(4). Factor -23 - p*x**3 - 20*x - 26*x**2 + 66 - 3*x**3 - 35.
-(x + 2)**2*(7*x - 2)
Suppose 0*v = -4*v + 184. Let l = v - 41. Find d, given that 3 - 9 + 2*d**2 - l*d + d = 0.
-1, 3
Let -4*p**3 + 1342 - 39*p - 542 + 86*p - 32*p**2 + 53*p = 0. What is p?
-8, -5, 5
Factor 3/8*m**3 + 0 + 118803/8*m - 597/4*m**2.
3*m*(m - 199)**2/8
Let t(h) = 3*h**3 + h**2 - h - 1. Let a(p) = -21*p**3 + 57*p**2 - 99*p - 165. Let f(s) = -a(s) - 6*t(s). Factor f(x).
3*(x - 19)*(x - 3)*(x + 1)
Let g(z) be the second derivative of z**5/170 + z**4/34 - 25*z**3/51 + 21*z**2/17 - 2*z - 651. Solve g(k) = 0 for k.
-7, 1, 3
Determine l, given that 867*l - 2467*l + 1580*l**2 + l**4 - 92539*l**3 + 92564*l**3 - 4*l**4 - 2*l**4 = 0.
-16, 0, 1, 20
Let u(m) = -4*m**2 - 4*m + 18. Let z(f) = -16*f + 214. Let k be z(14). Let d(g) = g**2 + 3*g. Let w(c) = k*d(c) - 2*u(c). Solve w(q) = 0 for q.
-9, -2
Let q be 1911/(-3185)*(-10)/3. Factor 2/19*s**3 + 2/19*s**q - 2/19*s**4 + 0 - 2/19*s.
-2*s*(s - 1)**2*(s + 1)/19
Suppose 5*i + 48 = -s, 3*i - 8*i + 300 = -5*s. Let a = s - -94. Find f, given that -4*f**2 + a*f**2 + 12*f**4 + 56*f**3 - 4*f**4 + 4*f**4 = 0.
-4, -2/3, 0
Suppose 39 = -10*b + 369. Let o = b + -31. Let -21*q - 19*q + 28*q**o + 39*q**2 + 13*q**2 + 5 = 0. Calculate q.
1/4
Suppose 28*u + 42*u - 490 = 0. Suppose -58*n**4 + 15*n**4 - 3*n**2 + u*n + 49*n**4 + n**5 - 8*n**3 - 3*n**2 = 0. Calculate n.
-7, -1, 0, 1
Let j = -1697/3 - -611. Let p = j + -541/12. Find z such that -3/4*z**2 + 1/2*z + p*z**3 + 0 = 0.
0, 1, 2
Solve -73*q - 51*q - 580 - q + 5*q**2 = 0 for q.
-4, 29
Let u(x) be the first derivative of -x**3/27 - x**2/3 - 5*x/9 - 448. Factor u(v).
-(v + 1)*(v + 5)/9
Let g(c) = 20*c**2 + c. Let j be g(1). Let h(l) = -17*l + 71. Let f be h(4). Factor p**f + 4*p**3 - j*p - p**3 + 17*p.
4*p*(p - 1)*(p + 1)
Determine u so that -1160*u**3 + 1156*u**3 + 12*u - 4*u - 4*u**5 + 12*u**2 - 12*u**4 = 0.
-2, -1, 0, 1
Let k = -139 + 253. Let o = k + -111. Find c such that 28*c + 91 + 5*c**o - 11 - 88*c = 0.
-4, 2
Let r(o) be the first derivative of -o**4/72 + 13*o**3/9 - 169*o**2/3 + 133*o + 110. Let f(y) be the first derivative of r(y). Factor f(g).
-(g - 26)**2/6
Let n(h) = -3*h**2 + h. Let c(m) = -11*m**2 + 14*m + 76. Let k(z) = c(z) - 3*n(z). Let g be k(-4). Factor 2/5*x**2 + g*x - 2/5.
2*(x - 1)*(x + 1)/5
Let n(r) be the first derivative of -3*r**4/20 + 4*r**3/5 - 9*r**2/10 - 934. Determine l, given that n(l) = 0.
0, 1, 3
Determine p so that -628/9*p + 2/9*p**3 + 256/3 + 118/9*p**2 = 0.
-64, 2, 3
Let r(m) be the third derivative of m**7/105 + 33*m**6/5 + 21122*m**5/15 + 50160*m**4 + 2310400*m**3/3 - m**2 + 7187*m + 2. Factor r(v).
2*(v + 8)**2*(v + 190)**2
Factor 3/5*b**4 - 318/5*b**2 + 87/5*b**3 - 192*b + 0.
3*b*(b - 5)*(b + 2)*(b + 32)/5
Let u(h) be the second derivative of h**5/45 - 11*h**4/108 - 19*h**3/54 - 2*h**2/9 - h - 493. Determine j so that u(j) = 0.
-1, -1/4, 4
Let f(y) be the second derivative of 2*y**7/105 + 41*y**6/150 + 53*y**5/50 + 28*y**4/15 + 5*y**3/3 + 7*y**2/10 - 889*y - 1. Factor f(n).
(n + 1)**3*(n + 7)*(4*n + 1)/5
Let g(j) be the first derivative of -j**4/8 + 40*j**3/3 - 1957*j**2/4 + 7581*j + 5219. Let g(l) = 0. Calculate l.
19, 42
Let x be -189*((-2)/28)/(40 - 16205/420). Find p, given that -x*p + 108/17 + 72/17*p**2 - 8/17*p**3 = 0.
3/2, 6
Let k be (-840)/(-126)*11/44. What is p in -7/3*p**2 + 2/3 + k*p**4 - p**3 + p = 0?
-1, -2/5, 1
Factor 0*s + 4/3*s**4 + 252*s**3 + 0 - 1528/3*s**2.
4*s**2*(s - 2)*(s + 191)/3
Let r be ((-36)/(-126))/((5 - 9)/(-16)). Find s such that 2/7*s**3 - r + 0*s + 6/7*s**2 = 0.
-2, 1
Let q(s) be the first derivative of -5*s**3/3 - 530*s**2 - 2100*s + 2426. What is j in q(j) = 0?
-210, -2
Determine w, given that -4359801*w**2 + 141504*w**3 + 2523844 - 1062*w**4 - 381191166 + 31205220*w + 165058716*w - 4096647*w**2 + 18850106 + 3*w**5 = 0.
2, 88
Let q(d) be the first derivative of 4*d**3 - 7958*d**2 + 5304*d - 934. Determine l so that q(l) = 0.
1/3, 1326
Let m(w) = 436*w**2 - 1140*w + 4. Let n(k) = -28*k**2 - k + 1. Let u(f) = m(f) + 2*n(f). Find s, given that u(s) = 0.
1/190, 3
Let r = -48/49 + 193/147. Let j(p) be the third derivative of 0*p + r*p**3 + p**2 + 0 + 1/30*p**5 - 1/6*p**4. Suppose j(d) = 0. What is d?
1
Factor 17*o + 46/3*o**3 + 74/3*o**2 + 3*o**4 - 1/3*o**5 + 13/3.
-(o - 13)*(o + 1)**4/3
Factor 0 - 1/3*t**3 + 10*t - 1/3*t**2.
-t*(t - 5)*(t + 6)/3
Let y(l) = 4*l**4 + 7352*l**3 - 7332*l**2. Let v(h) = -h**4 - 1470*h**3 + 1466*h**2. Let n(z) = -24*v(z) - 5*y(z). Suppose n(b) = 0. What is b?
0, 1, 369
Let v(r) be the third derivative of 2*r**7/105 - 22*r**6/15 + 218*r**5/5 - 1870*r**4/3 + 14450*r**3/3 - 2*r**2 + 1220*r. Let v(p) = 0. Calculate p.
5, 17
Let a(m) be the third derivative of -m**7/5880 + m**5/280 + 7*m**4/24 - 7*m**2 - 2. Let k(w) be the second derivative of a(w). Factor k(p).
-3*(p - 1)*(p + 1)/7
Let y be 1/4 - (-1)/((-28)/(-49)). Let w be 30/(-5)*(4/y)/(-8). Determine k so that 9/4 + 1/4*k**2 + w*k = 0.
-3
Let w(d) be the third derivative of -d**6/160 + 3*d**5/80 + 13*d**4/32 - 15*d**3/8 - 1168*d**2. Factor w(i).
-3*(i - 5)*(i - 1)*(i + 3)/4
Let k(q) be the first derivative of -q**3 + 45/2*q**2 - 29 - 42*q. Factor k(t).
-3*(t - 14)*(t - 1)
Let p = -6/25745 + 1519501/2342795. Let w = -46/91 + p. Factor -w*y**4 + 8/7*y + 0*y**3 + 6/7*y**2 + 3/7.
-(y - 3)*(y + 1)**3/7
Let h(l) be the third derivative of l**7/140 - l**6/5 - 17*l**5/40 - 1853*l**2 - l. Solve h(u) = 0 for u.
-1, 0, 17
Let p(d) be the third derivative of 0*d - 1/420*d**8 + 126*d**2 + 0*d**4 + 0*d**3 - 4/75*d**6 - 2/105*d**7 - 4/75*d**5 + 0. Suppose p(k) = 0. Calculate k.
-2, -1, 0
Suppose 0 - 8464/7*r**2 + 7912*r**3 + 0*r - 2396/7*r**4 + 26/7*r**5 = 0. Calculate r.
0, 2/13, 46
Factor 188 - 496 - 5352*x - 565*x**2 - 1432 + 772*x + 25*x**3.
5*(x - 29)*(x + 6)*(5*x + 2)
Supp