irst derivative of -t**5 - 5*t**4 + 5*t**3 + 25*t**2 - 40*t + 11436. Suppose f(k) = 0. What is k?
-4, -2, 1
Let a = 8222 - 8220. Solve -16*d**3 + 0*d - 16/5*d**a + 0 - 36/5*d**4 = 0.
-2, -2/9, 0
Let h = -39606 - -39646. Determine p, given that -2/9*p**4 - 40/9*p**3 - h*p - 18 - 236/9*p**2 = 0.
-9, -1
Factor -238*i + 155940*i**2 - 77969*i**2 + 1140 - 77969*i**2.
2*(i - 114)*(i - 5)
Factor -2/3*k**2 - 74/3*k + 52.
-2*(k - 2)*(k + 39)/3
Let q(z) = -z**2 + 10*z - 5. Let l = 178 + -187. Let c(r) = -2*r**2 + 21*r - 9. Let j(w) = l*q(w) + 4*c(w). Find s, given that j(s) = 0.
3
Let s(q) be the second derivative of -2/105*q**5 + q**2 + 0 - 8*q + 1/420*q**6 + 0*q**3 + 1/21*q**4. Let l(z) be the first derivative of s(z). Factor l(h).
2*h*(h - 2)**2/7
Suppose w - 4*w = -7*w. Let z be w + (-140)/(-8)*(-2)/(-30). Determine b so that 4/3 + z*b**2 + 5*b = 0.
-4, -2/7
Let r be 30/(-45) - 4/3. Let u be r + -2 + (-8 - -14). Factor 0*f - 5*f**2 - 9*f + 8*f**u.
3*f*(f - 3)
Suppose r - 141 = -3*f, 592 = 4*r + 2*f + 78. Find l, given that 54 + 131*l + 41*l**2 + 35*l**2 - 92*l - 67*l**2 + r*l = 0.
-18, -1/3
Let k(q) be the third derivative of 0 + 11/2*q**3 + 0*q - 11/20*q**5 + 199*q**2 - 1/120*q**6 + 1/24*q**4. Solve k(v) = 0 for v.
-33, -1, 1
Factor -1/8*c**3 - 51/8 - 13/8*c**2 + 65/8*c.
-(c - 3)*(c - 1)*(c + 17)/8
Let u(f) be the third derivative of -f**7/525 + 17*f**6/75 - 241*f**5/25 + 493*f**4/3 - 4205*f**3/3 + 2*f**2 - 3620*f - 1. Find m, given that u(m) = 0.
5, 29
Let r = 48/221 - -346557/884. Let z = 393 - r. Solve 0 + a**2 - a + z*a**5 + 7/2*a**4 + 19/4*a**3 = 0.
-2, -1, 0, 1/3
Let w(l) be the first derivative of -2/21*l**3 + 2/7*l**2 + 6/7*l + 52. Factor w(c).
-2*(c - 3)*(c + 1)/7
Let p(t) be the second derivative of t**6/45 + 4*t**5/15 - 2*t**4/9 - 32*t**3/9 - 2*t - 6063. Solve p(q) = 0 for q.
-8, -2, 0, 2
Suppose -69*o = -197*o + 28*o + 500. What is z in -8/3 - 30*z - 200/3*z**3 + 160*z**4 + 128/3*z**o - 310/3*z**2 = 0?
-4, -1/4, 1
Let l(d) = -19*d**2 + 228*d. Suppose -37*y + 0*y + 444 = 0. Let a be l(y). Let a*f + 0 - 4/7*f**4 + 0*f**2 - 20/7*f**3 = 0. Calculate f.
-5, 0
Let m(x) be the third derivative of x**5/80 + 489*x**4/32 + 487*x**3/4 - 19*x**2 + 70*x + 1. Solve m(t) = 0.
-487, -2
Let h(s) be the third derivative of -1/270*s**5 + 5/18*s**4 + 0 + 0*s + 93*s**2 - 25/3*s**3. Let h(d) = 0. Calculate d.
15
Let j be ((-18)/(-15))/(2/95). Suppose -5*c + 38 + j = 0. Factor 2*i - 5*i**2 + 0*i - c*i + 7*i.
-5*i*(i + 2)
Let v = 537679/51 + -31625/3. Determine y, given that v*y**3 + 38/17*y + 12/17 + 2/17*y**4 + 42/17*y**2 = 0.
-6, -1
Let o(c) be the first derivative of -2*c**3/3 - 10*c**2 - 42*c - 1757. Factor o(q).
-2*(q + 3)*(q + 7)
Suppose 5*r + 0 = 5, 0 = w + r - 4. Let -157*u**4 + 0*u**2 + 155*u**4 - 4*u**w - u**2 - u**2 = 0. Calculate u.
-1, 0
Let a(q) be the second derivative of q**5/190 + 41*q**4/57 + 517*q**3/57 - 600*q**2/19 + 5518*q. Solve a(u) = 0 for u.
-75, -8, 1
Suppose -71246*d**2 - 175*d - 3*d**3 + 142366*d**2 - 71190*d**2 + 0*d**3 - 2*d**3 - 110 = 0. Calculate d.
-11, -2, -1
Let l be (-18)/15 - -45*((-7436)/325 + 23). Factor -3/5*j**2 + 54/5 - l*j.
-3*(j - 2)*(j + 9)/5
Let i(q) = 3*q**3 - 330*q**2 + 6529*q - 33642. Let x(v) = 20*v**3 - 2310*v**2 + 45705*v - 235495. Let g(r) = -15*i(r) + 2*x(r). Factor g(a).
-5*(a - 29)**2*(a - 8)
Let w(b) = -3*b**5 - b**4 + 1. Let f(v) = 11*v**5 - 31*v**4 - 104*v**3 - 72*v**2 + 108*v + 103. Let m(p) = f(p) + 5*w(p). Let m(r) = 0. What is r?
-3, -1, 1
Let s(j) = -14*j + 76. Let z be s(4). Factor -232*k + 981*k**3 + z + 32*k + 85*k**2 - 886*k**3.
5*(k - 1)*(k + 2)*(19*k - 2)
Factor 1/4*a**2 + 107/4*a + 255/2.
(a + 5)*(a + 102)/4
Let v be -3*(7 - 287/21). Suppose -2*i = 3*y + i + 12, v = -3*y - 5*i. Factor -4*j**2 - 12/5*j**3 - 8/5*j + y.
-4*j*(j + 1)*(3*j + 2)/5
Let f(h) be the third derivative of -h**5/100 - 119*h**4/10 - 474*h**3/5 - 670*h**2 + 4. Factor f(v).
-3*(v + 2)*(v + 474)/5
Let n(l) be the second derivative of l**6/60 + 879*l**5/40 + 85849*l**4/8 + 25153757*l**3/12 - 226*l + 2. Factor n(k).
k*(k + 293)**3/2
Let k(p) be the third derivative of 1/4*p**6 - 2/3*p**4 + 0 - 4/3*p**3 - 102*p**2 + 11/30*p**5 + 0*p. Factor k(i).
2*(i + 1)*(3*i - 2)*(5*i + 2)
Let c(b) be the second derivative of b**7/1260 + b**6/60 - 16*b**4/3 - 65*b. Let g(n) be the third derivative of c(n). What is p in g(p) = 0?
-6, 0
Let i be (2 - -4) + 2*(-3 + 2). Factor -6*l**4 + 0*l**4 + 11*l**3 - i*l**2 - 9*l**3 + 7*l**4 - 8*l.
l*(l - 2)*(l + 2)**2
Let y(z) = -45*z**3 + 114*z**2 + 32*z - 11. Let m(o) = 210*o - o**3 + 4 + 2 - 5 - 210*o. Let l(q) = -22*m(q) - 2*y(q). Factor l(c).
4*c*(4*c + 1)*(7*c - 16)
Let w(p) = -7*p**2 + p + 4*p**3 + 7*p + 74 - 75. Let d(b) = 17*b**3 - 28*b**2 + 32*b - 3. Let u(x) = -2*d(x) + 9*w(x). Determine s, given that u(s) = 0.
1, 3/2
Let u be (10/(-25))/((420/(-50))/14). Let i(z) be the second derivative of -4/3*z**2 - u*z**3 + 16*z + 1/15*z**5 + 0 + 0*z**4. Factor i(c).
4*(c - 2)*(c + 1)**2/3
Let a(w) = 3*w - 4. Let d be a(3). Let y be 21 - 5/40*56 - (-88)/(48/(-6)). Determine b, given that 5/2*b**d + 4 - 11*b**4 + 23/2*b**y - 14*b + 7*b**2 = 0.
-1, 2/5, 1, 2
Let z(b) = 1824*b - 25533. Let t be z(14). Let 8/5*d**t - 4/5*d**2 + 4/5*d**4 + 0 - 8/5*d = 0. What is d?
-2, -1, 0, 1
Let q(s) be the first derivative of -s**6/180 + s**5/20 + 70*s**3/3 - 64. Let t(x) be the third derivative of q(x). Suppose t(o) = 0. What is o?
0, 3
Let h(u) be the first derivative of 2/3*u**3 + 1/4*u**4 - 1/24*u**6 + 0*u + 0*u**2 - 138 - 1/10*u**5. Solve h(g) = 0 for g.
-2, 0, 2
Let j(k) be the third derivative of k**7/1050 - k**6/60 + 13*k**5/300 + k**4/5 - 208*k**2 - 3. Find d such that j(d) = 0.
-1, 0, 3, 8
Let s(w) be the second derivative of -8*w**6/15 + 201*w**5/25 - 34*w**4 + 10*w**3/3 + 448*w. Determine o so that s(o) = 0.
0, 1/20, 5
Factor 162/5*w - 504/5 + 2/5*w**2.
2*(w - 3)*(w + 84)/5
Let w(y) be the third derivative of 5*y**8/336 - 25*y**7/42 + 49*y**6/6 - 163*y**5/3 + 580*y**4/3 - 1120*y**3/3 - 2*y**2 - 6. Find f such that w(f) = 0.
1, 2, 4, 14
Let a(z) be the third derivative of -z**8/168 - 10*z**7/21 + 7*z**6/2 - 32*z**5/3 + 215*z**4/12 - 18*z**3 + 2*z**2 - 940*z. Solve a(h) = 0 for h.
-54, 1
Let v = 23054 - 23052. Factor -4/3*j + 2 - 2/3*j**v.
-2*(j - 1)*(j + 3)/3
Let j be 184/(-414)*(-999)/148. Let 12/5 + 12/5*c**2 + 22/5*c + 2/5*c**j = 0. Calculate c.
-3, -2, -1
Factor 73/2*v - 75/2*v**2 + 1.
-(v - 1)*(75*v + 2)/2
Let f be (-5 + 4)/((-3)/(-81)*3). Let c(z) = -13*z**2 + 50*z - 42. Let u(y) = -24*y**2 + 99*y - 84. Let x(r) = f*c(r) + 5*u(r). Factor x(d).
-3*(d - 14)*(d - 1)
Let b(l) be the first derivative of 1/30*l**5 - 13 - l + 0*l**2 + 7/180*l**6 - 3*l**3 + 0*l**4. Let i(w) be the third derivative of b(w). What is p in i(p) = 0?
-2/7, 0
Let m(g) be the third derivative of -6 - 1/100*g**6 - 7/100*g**5 + 0*g - 2*g**2 + 0*g**3 + 1/10*g**4. Factor m(s).
-3*s*(s + 4)*(2*s - 1)/5
Let h(s) be the first derivative of s**5 - 45*s**4/2 - 105*s**3 - 6752. Factor h(c).
5*c**2*(c - 21)*(c + 3)
Let k(i) be the first derivative of i**6/960 - i**5/80 + 3*i**4/64 - i**3/12 + 109*i**2/2 + 15. Let w(l) be the second derivative of k(l). Solve w(m) = 0.
1, 4
Let q(a) be the second derivative of 12/5*a**5 + 5/3*a**4 + 22/15*a**6 + 1/3*a**7 - 60*a + 0*a**2 + 1/3*a**3 + 0. Factor q(u).
2*u*(u + 1)**3*(7*u + 1)
Let t(b) = -2*b + 2. Let s(k) = -k**5 + 5*k**4 + k**3 - 5*k**2 - 26*k + 26. Let u(w) = -2*s(w) + 26*t(w). Let u(i) = 0. Calculate i.
-1, 0, 1, 5
Factor -434*l + 0*l**4 + 12*l**3 + 422*l + 4*l**4 - 4*l**2.
4*l*(l - 1)*(l + 1)*(l + 3)
Let g(i) = 63*i**4 + 277*i**3 + 610*i**2 - 11*i + 11. Let n(s) = 40*s**4 + 185*s**3 + 406*s**2 - 7*s + 7. Let l(w) = 7*g(w) - 11*n(w). Factor l(y).
y**2*(y - 98)*(y + 2)
Suppose 2*n - 3 = -h, -2*n - 228 + 213 = -5*h. Let y(j) be the first derivative of -1/14*j**4 + n*j**2 + 4/7*j**3 - 35 - 64/7*j. Solve y(b) = 0.
-2, 4
Factor 93*m**3 - 345*m**3 + 972 + 75*m**3 - 1188*m + 111*m**3 + 2*m**4 + m**4 + 471*m**2.
3*(m - 9)**2*(m - 2)**2
Let q = 449 - 455. Let n(u) = -9*u**3 - 9*u**2 + 21*u + 9. Let s(j) = 10*j**3 + 11*j**2 - 22*j - 9. Let z(b) = q*s(b) - 7*n(b). Find d, given that z(d) = 0.
-1, 3
Let j = 2379 - 2367. Let n(v) be the first derivative of -j + 1/18*v**3 + 0*v**2 - 1/6*v. Determine b so that