c**2 + 2504/5.
-(c - 8)*(c + 313)/5
Suppose -29*l - 48 = -53*l. Let s(m) be the second derivative of 0 + 5/12*m**4 - 3/4*m**5 - 1/6*m**6 + 0*m**l + 5/2*m**3 - 8*m. Let s(a) = 0. Calculate a.
-3, -1, 0, 1
What is n in 498 + 1815*n**2 - 61*n - 155*n**3 - 2*n**5 - 11608*n**4 - 1762*n + 11275*n**4 = 0?
-166, -3, 1/2, 1
Let b(q) be the third derivative of q**6/1080 + q**5/20 - 35*q**3/3 - q**2 - 28. Let d(n) be the first derivative of b(n). Factor d(m).
m*(m + 18)/3
Factor -105/2*f**3 - 1/4*f**5 - 41/4*f**4 + 0*f + 0 + 0*f**2.
-f**3*(f + 6)*(f + 35)/4
Let r(c) be the third derivative of -31*c**5/35 + 11*c**4/12 - 5*c**3/21 - 10915*c**2. Factor r(o).
-2*(3*o - 1)*(62*o - 5)/7
Let h(y) be the third derivative of -y**6/180 - 67*y**5/30 - 4489*y**4/12 + 97*y**3/3 - 10*y**2 + 8. Let p(u) be the first derivative of h(u). Factor p(l).
-2*(l + 67)**2
Let q(s) be the first derivative of -6*s**3/5 - 569*s**2/5 - 252*s/5 - 2198. Factor q(l).
-2*(l + 63)*(9*l + 2)/5
Let a(h) be the second derivative of h**4/96 + 871*h**3/48 - 109*h**2/2 + 3544*h. Suppose a(u) = 0. What is u?
-872, 1
Let f(d) be the second derivative of -3*d**5/20 - 13*d**4/4 - 27*d**3 - 108*d**2 - 1471*d - 1. Find m, given that f(m) = 0.
-6, -4, -3
Let x = 433/4 - 215/2. Let v(l) be the first derivative of -3*l**3 - x*l**4 + 3/2*l**2 + 9*l - 2. Solve v(z) = 0.
-3, -1, 1
Let o(t) = 14*t**4 - 360*t**3 + 720*t**2 - 362*t - 60. Let f(z) = 2*z**4 + z**2 - z - 10. Let p(j) = -6*f(j) + o(j). Find i such that p(i) = 0.
0, 1, 178
Suppose -497*n + 187*n + 187*n = -369. Find q, given that n*q**2 + 26/3*q + 8 + 1/3*q**3 = 0.
-4, -3, -2
Let f(y) be the third derivative of -y**8/168 - 2*y**7/21 + 7*y**6/30 + 16*y**5/15 - 13*y**4/12 - 22*y**3/3 + y**2 - 551. Solve f(w) = 0.
-11, -1, 1, 2
Let d(n) = -3*n**3 + 99*n**2 - 1179*n + 6877. Let b(m) = -22*m**3 + 712*m**2 - 8255*m + 48140. Let h(r) = 2*b(r) - 15*d(r). Factor h(y).
(y - 25)**2*(y - 11)
Let a(j) = 42*j**4 - 152*j**3 + 97*j**2 + 18*j + 30. Let s(w) = -21*w**4 + 77*w**3 - 49*w**2 - 9*w - 12. Let d(x) = -2*a(x) - 5*s(x). Factor d(b).
3*b*(b - 3)*(b - 1)*(7*b + 1)
Factor 62/3*i + 0 - 1/3*i**2.
-i*(i - 62)/3
Let b be (-3)/135*(-8 + -37 + -8) - 1. Let r(w) be the second derivative of -1/150*w**5 - 35*w + 0 - 16/5*w**2 + b*w**3 + 1/18*w**4. Factor r(t).
-2*(t - 4)**2*(t + 3)/15
Let c(j) be the third derivative of -12*j**7/35 - 17*j**6/5 + 1043*j**5/30 - 55*j**4/2 + 9*j**3 - 684*j**2. Let c(x) = 0. Calculate x.
-9, 1/6, 3
Let g(y) = -44*y**5 - 62*y**4 - 588*y**3 - 1018*y**2 + 7502*y + 7992. Let v(l) = -7*l**5 - l**2 + 1. Let f(p) = -g(p) + 6*v(p). Let f(t) = 0. What is t?
-11, -1, 3
Let n(l) be the third derivative of -l**5/15 - 23*l**4/3 - 261*l**2. Find q, given that n(q) = 0.
-46, 0
Let k(a) be the first derivative of -7*a**3/9 + 19*a**2/2 - 8*a/3 - 304. Solve k(p) = 0 for p.
1/7, 8
Factor -4/7*c**2 + 1088/7*c + 0.
-4*c*(c - 272)/7
Factor -1/6*a**3 - 315104*a + 314646 + 2749/6*a**2.
-(a - 1374)**2*(a - 1)/6
Let y(l) be the third derivative of -l**6/2700 - l**5/150 + 4*l**4/45 - 26*l**3/3 + 28*l**2 + 2*l. Let u(g) be the first derivative of y(g). Factor u(j).
-2*(j - 2)*(j + 8)/15
Let o = 18 + -18. Suppose o = -5*t + a + 16, t - a = 0. Find l, given that -36*l**2 + 79 + 21 - 57*l - 3*l - t*l**3 = 0.
-5, 1
Let f = 410162 - 410160. Factor 4/7*p**3 + p**5 + 0*p**f + 0*p + 16/7*p**4 + 0.
p**3*(p + 2)*(7*p + 2)/7
Let s(p) be the first derivative of 2*p**3/39 - 654*p**2/13 + 213858*p/13 - 5644. Let s(g) = 0. What is g?
327
Let g = 62 + -36. Suppose 5*p + q - 22 = 20, 4*p - 3*q - g = 0. Factor -p + 2*b + 4*b - 4*b**2 + 10*b - 4*b.
-4*(b - 2)*(b - 1)
Let l(o) = o**3 - 3*o**2 - 12*o + 14. Let d be l(5). Suppose 20*u**2 + 218*u**4 - 149*u**4 - 114*u**d + 80*u**3 = 0. What is u?
-2/9, 0, 2
Let k(p) = 15*p**3 - 2479*p**2 + 7470*p. Let g(d) = 5*d**3 - 824*d**2 + 2490*d. Let x(j) = 8*g(j) - 3*k(j). Factor x(u).
-5*u*(u - 166)*(u - 3)
Suppose -8*o = -31*t + 36*t - 114, -75 = -5*t - 5*o. Factor 0 - 33/8*v**3 + 3/8*v**4 - 27/8*v + 57/8*v**t.
3*v*(v - 9)*(v - 1)**2/8
Let j(k) be the first derivative of k**6/90 + k**5/10 + 5*k**3/3 + k - 64. Let n(l) be the third derivative of j(l). Factor n(z).
4*z*(z + 3)
Let c(t) = 80*t**3 - 68*t**2 - 101*t - 41. Let z(l) = 29*l**3 - 23*l**2 - 33*l - 13. Let q(h) = -4*c(h) + 11*z(h). What is n in q(n) = 0?
-1, 21
Suppose 24*a - 7*d + 15 = 21*a, 4*d - 2 = 5*a. Suppose 9/2 + 35/2*h - 2*h**a = 0. Calculate h.
-1/4, 9
Let g(q) be the second derivative of 7*q + 1/6*q**6 - 7/2*q**5 + 280/3*q**3 + 160*q**2 + 55/4*q**4 + 2. Factor g(u).
5*(u - 8)**2*(u + 1)**2
Suppose -150/13*q**2 + 8/13*q**3 + 2/13*q**4 - 160/13 - 316/13*q = 0. Calculate q.
-10, -1, 8
Let h(n) be the second derivative of -n**4/42 + 236*n**3/7 - 125316*n**2/7 - 2884*n. Find u such that h(u) = 0.
354
Let p(s) be the third derivative of 1/36*s**4 + 1/180*s**6 + 1/45*s**5 + 0*s + 0 + 79*s**2 + 0*s**3. Factor p(k).
2*k*(k + 1)**2/3
Let s = -490 + 493. Factor 56*k**2 - 10301*k**3 - 30*k + 10295*k**s - 3*k**4 - 17*k**2.
-3*k*(k - 2)*(k - 1)*(k + 5)
Let p(l) be the second derivative of -27/10*l**3 - 5/4*l**4 + 2 - 41*l - 3*l**2 - 1/50*l**6 - 27/100*l**5. Find c such that p(c) = 0.
-5, -2, -1
Let i(u) be the first derivative of -22/13*u**2 - 2/39*u**3 - 178 + 46/13*u. Factor i(q).
-2*(q - 1)*(q + 23)/13
Let u(a) = -7*a**2 + 67*a - 772. Let f(v) = 8*v**2 + 2. Let h(d) = -5*f(d) - 5*u(d). Determine l, given that h(l) = 0.
-77, 10
Suppose -38*p = -6*q - 36*p + 50, -23 = -5*q - p. Let n(w) be the first derivative of q*w + w**2 - 2*w**3 + 24 - 1/2*w**4. Determine c so that n(c) = 0.
-3, -1, 1
Find u, given that 117*u + 1/4*u**2 - 235 = 0.
-470, 2
Suppose 0 = -45*n + 48*n - 5*t - 125, 5*t = -2*n + 75. Let s be (-20)/3*((-128)/n)/2. Factor -s*o - 4/3*o**2 - 64/3.
-4*(o + 4)**2/3
Let p = 574535/4 + -143633. Determine o, given that p*o**3 + 9/4*o + 5/2*o**2 + 1/2 = 0.
-2, -1, -1/3
Suppose 60*d**4 - 126*d**5 + 504*d**3 + 134*d**4 - 60*d**4 + 32 - 544*d**2 = 0. What is d?
-2, -2/9, 2/7, 1, 2
Let k = 7/22994 - -183931/68982. Suppose k*b**2 - 26/5*b + 28/15*b**3 - 16/15*b**4 - 24/5 + 2/15*b**5 = 0. What is b?
-1, 3, 4
Let q(g) = -g**2 + 159*g + 164. Let f(t) = -2*t**2 + 318*t + 330. Let b(k) = 6*f(k) - 15*q(k). Factor b(v).
3*(v - 160)*(v + 1)
Suppose 4*x + 4*w - 92 = 0, 4*x - 79 - 11 = -2*w. Suppose 0 = 5*d + 4*u - x, -19*u + 14*u + 21 = 3*d. Let 6/7*y**3 + 2/7 - 34/21*y + 2*y**d = 0. Calculate y.
-3, 1/3
Let x(q) be the first derivative of -33/2*q**2 + 25 + q**3 + 0*q. Solve x(k) = 0 for k.
0, 11
Solve 122*a + 6*a**3 - 28*a**2 - 162 - 107*a - 179*a - 2*a**3 + 30 = 0.
-3, -1, 11
Determine x, given that -11*x**2 - 13*x**2 + 20*x**2 + 95*x + 170 + x - 710 = 0.
9, 15
Suppose -9*m = 10*m - 19. Let s(h) = h**5 + h**3 - h**2 - 2*h + 1. Let g(u) = -3*u**5 - 2*u**4 + 6*u**2 + 3*u - 4. Let n(t) = m*g(t) + 2*s(t). Factor n(k).
-(k - 1)**2*(k + 1)**2*(k + 2)
Solve -551402*n + 66*n**2 - 96 + 3*n**4 - 27*n**3 + 551402*n = 0.
-1, 2, 4
Let f(k) be the second derivative of -10/3*k**6 + 176/3*k**3 + 114*k**5 + 0*k**2 - 148*k**4 - 210*k + 0. Factor f(d).
-4*d*(d - 22)*(5*d - 2)**2
Let m(a) be the first derivative of -5*a**3/3 + 485*a**2/2 + 490*a - 1031. Suppose m(v) = 0. What is v?
-1, 98
Let i(b) be the first derivative of -2*b**3 - 255*b**2/2 + 129*b - 10819. Factor i(r).
-3*(r + 43)*(2*r - 1)
Let g(u) be the second derivative of 75*u**8/112 + 7*u**7/2 + 23*u**6/15 + u**5/5 + 179*u**2/2 + 184*u. Let n(p) be the first derivative of g(p). Factor n(z).
z**2*(z + 3)*(15*z + 2)**2
Suppose 0 = 3*s - 2*i - 12, -5*s = -8*s - 4*i - 6. Suppose -5*q**3 + 17*q**3 + 64 - 8*q**3 - 124*q + 56*q**s = 0. Calculate q.
-16, 1
Let p be (-32)/(-2)*((-18)/9 - -9). Let d be (5 - 656/p)*28/(-54). Let 4/9*k**3 - 4/9*k + 1/3*k**2 + 1/9*k**4 - d = 0. Calculate k.
-2, -1, 1
Let h(m) be the third derivative of 999406512*m**7/175 - 4270968*m**6/25 + 54756*m**5/25 - 78*m**4/5 + m**3/15 - m**2 + 111*m + 1. Factor h(a).
2*(234*a - 1)**4/5
Let k(h) = 25*h**2 - 1248*h + 1304. Let j(o) = -6*o**2 + 312*o - 324. Let c(i) = -9*j(i) - 2*k(i). Factor c(p).
4*(p - 77)*(p - 1)
Let s be 41/(((-42)/(-75))/(-14)). Let p = 1025 + s. Factor -3/5*o**3 + p + 0*o + 6/5*o**2.
-3*o**2*(o - 2)/5
Let z(n) be the third derivative of -n**8/60480 + n**7/378 - 5*n**6/2