irst derivative of -45/4*x**2 - 53 - 5/6*x**3 + 25*x. Solve k(q) = 0 for q.
-10, 1
Let c(v) = -v - 50. Suppose -19*w - 1375 + 387 = 0. Let p be c(w). Solve -d**p - 1/2*d**3 + 0 + 3/2*d = 0 for d.
-3, 0, 1
Let g(x) be the second derivative of -x**6/30 + 25*x**4/4 + 125*x**3/3 - 482*x. Factor g(l).
-l*(l - 10)*(l + 5)**2
Let o be (3*1)/(266/(4256/24)). Factor 1/11*a + 0 + 6/11*a**o.
a*(6*a + 1)/11
Let i = -361 - -359. Let c be (-5)/(-12)*(44/(-30) - i). What is m in -2/9*m**3 + 2/9*m + c*m**4 + 0 - 2/9*m**2 = 0?
-1, 0, 1
Determine t, given that 144/7*t**2 - 4/7*t**3 - 492/7*t - 640/7 = 0.
-1, 5, 32
Let y(c) = 2*c - 41. Let k be y(22). Let h be (2*1*k)/((-72)/(-48)). Determine a so that 12*a**2 - 3*a**5 - 4*a**3 - a**5 + 20*a**h - 24*a**3 = 0.
0, 1, 3
Find n such that 369 + n**3 - 638 + 382 + 115*n**2 + 227*n = 0.
-113, -1
Let -28/11*r**4 + 0*r + 14*r**3 + 180/11*r**2 - 2/11*r**5 + 0 = 0. Calculate r.
-18, -1, 0, 5
Let w(t) be the third derivative of t**8/11200 - t**6/1200 - 97*t**4/24 + 2*t**2 + 3*t. Let v(s) be the second derivative of w(s). Factor v(h).
3*h*(h - 1)*(h + 1)/5
Let s = -2/227825 + -187773363/227825. Let a = s - -825. Factor -4/5 + a*t**2 + 0*t.
4*(t - 1)*(t + 1)/5
Let a = 243037/12 - 60757/3. Suppose -3 - 9 = -4*s. Factor 3/4*x**s + a*x**4 + 0*x - 3/4*x**5 + 0 - 3/4*x**2.
-3*x**2*(x - 1)**2*(x + 1)/4
Factor 11342*k - 427/4*k**2 + 1/4*k**3 + 11449.
(k - 214)**2*(k + 1)/4
Let z(n) be the second derivative of -26/33*n**4 + 0*n**2 + 0 + 16*n - 1/110*n**5 - 676/33*n**3. Let z(p) = 0. Calculate p.
-26, 0
Suppose -5*y - 3 + 28 = 0, 10 = -l + 4*y. Suppose 5*h - 30 = -l*h. Factor 811*u**2 + 540*u + 312*u**h + 108 - 223*u**2 + 500*u**3.
4*(5*u + 3)**3
Let u be (-1633 + -3)*((-4950)/168)/25. Let h = 1929 - u. Factor -2/7*s**2 + h + 4/7*s.
-2*(s - 3)*(s + 1)/7
Let k(g) be the second derivative of g**4/18 - 17*g**3/9 + 16*g**2/3 - 121*g. Find i, given that k(i) = 0.
1, 16
Let h be (-1752)/30 - (-6)/15. Let i = -44 - h. Factor 3*b**5 + 7 - 12*b**4 + 7 - 6*b**2 - i + 15*b**3.
3*b**2*(b - 2)*(b - 1)**2
Suppose 0 = 9*a - 17781 + 5226. Let x = -1395 + a. Factor -30*l**4 - 8/3*l**2 + x + 64/3*l**3 + 0*l - 54*l**5.
-2*l**2*(l + 1)*(9*l - 2)**2/3
Suppose 2*s - 8 = h, 3*s + 14 = h - 6*h. What is y in -6*y**5 + 1119*y - 1134*y + 60*y**4 + 25*y**3 + 10 - 40*y**s + 26*y**5 = 0?
-2, -1, 1/2
Factor -2068578/5 - 2/5*b**2 - 4068/5*b.
-2*(b + 1017)**2/5
Let x(r) = -131*r - 43. Let g be x(4). Let u = g + 569. Factor -3/7*b + 0 - 6/7*b**u.
-3*b*(2*b + 1)/7
Let v(z) be the first derivative of 5*z**3/3 - 9*z**2/2 + 16*z + 1. Let w(n) = 3*n - 4*n - 3 + 2 + 0*n. Let k(m) = v(m) + 6*w(m). Solve k(i) = 0 for i.
1, 2
Let d(i) be the second derivative of -i**5/40 + 227*i**4/24 - 56*i**3 - 4255*i. Factor d(l).
-l*(l - 224)*(l - 3)/2
Let p(c) be the first derivative of -c**4 - 76*c**3 - 112*c**2 - 1055. Find t such that p(t) = 0.
-56, -1, 0
Let z(p) be the first derivative of -25*p - 13 + 0*p**2 + 1/6*p**4 - p**3. Let d(v) be the first derivative of z(v). Solve d(c) = 0.
0, 3
Let y(n) be the third derivative of n**6/40 + 31*n**5/10 + 61*n**4/8 - 609*n**2. Factor y(o).
3*o*(o + 1)*(o + 61)
Let v be ((3 - (-42)/(-15)) + -1)/((-114)/513). Let 0 + 6/5*t**3 + 0*t + v*t**2 = 0. Calculate t.
-3, 0
Let r = 1075 + -2134. Let c = -1057 - r. Factor 0 - 3/7*d + 4/7*d**c - 1/7*d**3.
-d*(d - 3)*(d - 1)/7
Let i be (-10)/(-35) - (-62380)/210. Let h = i - 297. Suppose 2/3*y**3 - 2/3*y + 0 + 1/3*y**2 - h*y**4 = 0. Calculate y.
-1, 0, 1, 2
Suppose -37 = -4*l - 3*i, -148 = -5*i - 113. Let v(c) be the first derivative of l + 5/2*c - c**2 - 1/6*c**3. Solve v(k) = 0.
-5, 1
Let j(z) be the second derivative of -3 + 2/3*z**3 + 0*z**2 - 3/20*z**5 - z - 1/42*z**7 + 1/3*z**4 - 2/15*z**6. Factor j(g).
-g*(g - 1)*(g + 1)*(g + 2)**2
Let n = 11 + -48. Let t = n - -41. Find u such that 7*u + 70*u**5 + 45*u**3 - 61*u**5 - 8*u**2 - u - 33*u**t - 19*u**2 = 0.
0, 2/3, 1
Suppose 8006*i - 8007*i = -3*z - 1, 0 = 5*z - 2*i + 4. Let 2*r**2 + 0 + 2/3*r - z*r**4 - 11/6*r**3 + 7/6*r**5 = 0. What is r?
-1, -2/7, 0, 1, 2
Let a(t) = 9*t**2 - 5*t - 32. Let k(h) = 76*h**2 - 41*h - 258. Let x(s) = -51*a(s) + 6*k(s). Let x(m) = 0. Calculate m.
-4, 7
Let l(a) = 5*a**2 + 3*a - 4. Let f(u) = -u**2 + u + 1. Let z(i) = -8*i - 76. Let d be z(-7). Let o(t) = d*f(t) - 5*l(t). Factor o(r).
-5*r*(r + 7)
Let m(o) = o - 1. Let u(g) = 7*g**2 + 30*g - 32. Let r(w) = 11*w**2 + 45*w - 48. Let p(v) = 5*r(v) - 8*u(v). Let h(c) = 5*m(c) + p(c). What is d in h(d) = 0?
-11, 1
Let a(x) be the second derivative of -x**7/210 + x**6/150 + 21*x**5/100 - 13*x**4/60 - 8*x**3/3 - 24*x**2/5 - 4*x - 310. Let a(o) = 0. What is o?
-4, -1, 3, 4
Let d(a) be the first derivative of 4*a**4/3 + 74*a**3/3 + 18*a**2 - 81*a + 77. Let f(g) be the first derivative of d(g). Suppose f(v) = 0. What is v?
-9, -1/4
Let f(b) = -5*b - 71. Let s be f(-16). Factor 21*r**3 + 89 + 3*r**5 - 185 - s*r**2 - 15*r**4 + 96.
3*r**2*(r - 3)*(r - 1)**2
Let c = 148 - 145. Solve -19*z**4 - 16*z - 20*z**2 + 20*z**c + 8 + 31*z**4 - 8*z**5 + 4*z = 0.
-1, 1/2, 1, 2
Let n(x) = 4*x - 30. Let f be n(8). Find v such that 8 - 11165*v - 40*v**f + 11273*v - 76*v**2 = 0.
-2/29, 1
Let d(a) be the second derivative of -a**6/900 + 23*a**5/100 - 239*a**3/6 + 129*a. Let q(p) be the second derivative of d(p). Determine k, given that q(k) = 0.
0, 69
Suppose -32*m + 30*m = 80. Let p be (288/m)/(-6) - 2/5. Determine j so that 3/5*j**3 - p*j**2 - 4/5*j + 0 = 0.
-2/3, 0, 2
Find n, given that -2*n**2 - 17*n**3 + 243*n**3 + 10*n**3 + 132*n**3 = 0.
0, 1/184
Let o(q) be the second derivative of -7*q**7/6 - 6083*q**6/10 + 522*q**5 - 373*q**4/3 + 1938*q + 1. Determine h, given that o(h) = 0.
-373, 0, 2/7
Let n(i) be the first derivative of i**4/12 + 13*i**3/6 - 77*i + 74. Let z(h) be the first derivative of n(h). Find w, given that z(w) = 0.
-13, 0
Let a(m) be the third derivative of -31*m**2 + 0*m + 1/180*m**5 - 1 - 1/4*m**4 + 0*m**3. Suppose a(f) = 0. Calculate f.
0, 18
Let d(i) be the third derivative of i**7/420 + i**6/15 - 49*i**5/60 + 3*i**4 - 21*i**3/4 - 519*i**2. Factor d(r).
(r - 3)*(r - 1)**2*(r + 21)/2
Let h(k) be the third derivative of k**6/60 + 3*k**5/20 + 3*k**4/8 + 3*k**2 + 3. Factor h(c).
c*(c + 3)*(2*c + 3)
What is z in 1522/13*z + 2/13*z**3 - 760/13 - 764/13*z**2 = 0?
1, 380
Suppose 31*y + 868 = 38*y. Suppose y*j - 190 = 554. Find h such that j*h + 3/2*h**2 + 9/2 = 0.
-3, -1
Suppose 19*p = 21*p + 4, s = 5*p + 18. What is k in -8 - 79*k - 5*k**2 + s + 0 - 236*k = 0?
-63, 0
Let r(n) be the second derivative of n**8/11760 - n**6/840 + n**5/420 + n**3/2 - 3*n**2/2 + n + 35. Let f(p) be the second derivative of r(p). Factor f(k).
k*(k - 1)**2*(k + 2)/7
Let j(d) be the third derivative of d**5/100 + 847*d**4/10 + 1434818*d**3/5 - 17*d**2 + 6*d + 1. Factor j(g).
3*(g + 1694)**2/5
Suppose 38*c**2 + c**5 - 7010*c - 30*c**3 - 120*c**2 - 18*c**2 + 7135*c + 4*c**4 = 0. What is c?
-5, 0, 1, 5
Let 585362/5 + 2164/5*d + 2/5*d**2 = 0. Calculate d.
-541
Let -66*w + 373 - 215*w**2 - 25*w**3 - 209*w + 142 + 360 = 0. What is w?
-5, 7/5
Suppose -134*o = -132*o - 54. Let d(c) = 3*c**4 - 11*c**2 - 8*c - 2. Let v(y) = -39*y**4 + 144*y**2 + 105*y + 27. Let j(a) = o*d(a) + 2*v(a). Factor j(h).
3*h*(h - 2)*(h + 1)**2
Let j(h) be the third derivative of h**6/120 + 287*h**5/60 - 106*h**2. Factor j(u).
u**2*(u + 287)
Let z(s) = 2*s**3 - 58*s**2 + 3. Let v be z(29). Find o, given that 4 + 1 - o**3 - o**2 - 5*o**2 + 5 - v*o = 0.
-5, -2, 1
Suppose 2*a - 144 = -214. Let p be ((-240)/a + -8)*-1. Factor 6/7*u + p - 2/7*u**2.
-2*(u - 4)*(u + 1)/7
Let m = -1398 + 1398. Suppose z = 3*x - 6, m = 2*x + 3*z - 1 - 14. Factor 0 + 1/4*q**5 + 5/4*q**2 + 3/2*q - 5/4*q**4 - 7/4*q**x.
q*(q - 6)*(q - 1)*(q + 1)**2/4
Let n(u) be the third derivative of -u**5/120 - 41*u**4/8 + 247*u**3/12 + 2*u**2 - 27. Find z, given that n(z) = 0.
-247, 1
Let n(o) be the second derivative of -o**6/6 + 103*o**5/4 - 6525*o**4/4 + 323785*o**3/6 - 975560*o**2 - 5353*o. Solve n(q) = 0.
16, 29
Suppose 6*x**3 - 16/7*x**4 - 36/7*x**2 + 0 + 2/7*x**5 + 0*x = 0. What is x?
0, 2, 3
Suppose 6*d = 13*d - 4*d - 18. Let l(s) be the first derivative of 7/15*s**5 - 1 + 0*s**2 - 2/3*s**4 - 1/18*s**d + 0*s - 16/9*s**3. Find u, given that l(u) = 0.
-1, 0, 4
Let j be (-3)/(9/(-1