 144 - u**4. Let x(m) = -3*m**4 - 6*m**3 + 3*m**2 + 10*m. Let a(j) = -2*t(j) + x(j). Find z such that a(z) = 0.
-8, -1, 0, 1
Suppose -13*o = 61*o. Let p(j) be the third derivative of 0*j**4 + j**2 + 0 + 0*j**5 + 0*j + o*j**3 - 1/20*j**6 - 1/70*j**7. Factor p(n).
-3*n**3*(n + 2)
Let h = -8087 + 8087. Let w(k) be the second derivative of -1/27*k**3 + 1/189*k**7 - 1/27*k**4 - 24*k + 2/135*k**6 + 0 + 0*k**2 + h*k**5. Factor w(v).
2*v*(v - 1)*(v + 1)**3/9
Let v(o) be the first derivative of 0*o + 23 + 14*o**2 + 490/3*o**3 + 35/6*o**4 + 1/12*o**5. Let g(h) be the second derivative of v(h). Factor g(w).
5*(w + 14)**2
Let d(u) be the first derivative of u**5/5 - 3*u**4/4 - u**3/3 + 3*u**2/2 - 1488. Factor d(w).
w*(w - 3)*(w - 1)*(w + 1)
Let y = 4906 + -4902. Let m(s) be the second derivative of 7/3*s**4 + y*s**2 + 19*s + 6*s**3 + 0. Factor m(n).
4*(n + 1)*(7*n + 2)
Let u = 17636 + -17633. Factor 2/3*v + 0 + 8/9*v**u + 1/9*v**4 + 13/9*v**2.
v*(v + 1)**2*(v + 6)/9
Factor -208/3*f - 68/3*f**3 + 4/3*f**4 + 0 + 224/3*f**2.
4*f*(f - 13)*(f - 2)**2/3
Let f(j) be the first derivative of 33/2*j**2 - 33/5*j**5 - 6*j - 23*j**3 + 69/4*j**4 + 58 + j**6. Factor f(o).
3*(o - 2)*(o - 1)**3*(2*o - 1)
Let p(q) be the second derivative of -q**5/110 - 35*q**4/66 - 400*q**3/33 - 1500*q**2/11 - 255*q + 1. What is m in p(m) = 0?
-15, -10
Let o(g) = g**2 + 2*g. Let c(v) = 7*v**2 + 1324*v + 1315. Let q(l) = c(l) - 2*o(l). Let q(i) = 0. Calculate i.
-263, -1
Suppose 16 = 51*h - 50*h. Suppose 3*j - h = 4*l, 5*l = j - 0*j - 9. Factor 4*a - 475*a**2 + 5 - j*a**3 + 459*a**2 + 11.
-4*(a - 1)*(a + 1)*(a + 4)
Let r(j) be the second derivative of j**7/7560 + j**6/3240 - j**5/216 + j**4/72 + 100*j**3/3 + 7*j + 1. Let s(t) be the second derivative of r(t). Factor s(f).
(f - 1)**2*(f + 3)/9
Factor -1/6*x**2 - 693/2*x + 1040/3.
-(x - 1)*(x + 2080)/6
Suppose v + 5*c - 5 = 0, 2*c + 10 - 12 = 5*v. Let o(t) be the first derivative of 3/5*t**5 + 1/3*t**3 + v*t - 3/4*t**4 - 1/6*t**6 + 0*t**2 + 16. Factor o(z).
-z**2*(z - 1)**3
Let f = 628688 + -3143412/5. Factor -2/5*l**2 + 0 + f*l.
-2*l*(l - 14)/5
Let k(y) be the first derivative of -y**5/5 + 195*y**4 - 50700*y**3 - 80. Factor k(d).
-d**2*(d - 390)**2
Let c(a) be the second derivative of 6*a - 1/2*a**3 + 11/20*a**4 + 3 - 9/10*a**2 - 9/100*a**5. Factor c(z).
-3*(z - 3)*(z - 1)*(3*z + 1)/5
Let s(b) be the third derivative of 1/54*b**4 + 0*b + 0 + 1/540*b**6 - 1/90*b**5 + b**2 + 0*b**3. Factor s(p).
2*p*(p - 2)*(p - 1)/9
Let b(d) = -d**2 + d + 72. Let v be b(9). Let j(m) be the second derivative of 195/4*m**4 + v - 9*m + 100/3*m**3 + 10*m**2 + 81/4*m**5. Factor j(g).
5*(g + 1)*(9*g + 2)**2
Let i be -97*((4 - 1) + 2). Let j = i + 487. Factor 0*v + 2/19*v**j - 2/19.
2*(v - 1)*(v + 1)/19
Let t(f) = 2*f - 2. Let d(u) = -14*u**2 + 86*u - 32. Let s(z) = 18*z - 268. Let n be s(15). Let o(r) = n*t(r) + d(r). Suppose o(p) = 0. Calculate p.
3/7, 6
What is p in -2471*p - 2385*p - 324 + 4757*p + 3*p**2 = 0?
-3, 36
Let x(z) be the third derivative of 15*z**6/32 + 157*z**5/4 - 1259*z**4/96 + 7*z**3/4 + z**2 + 15*z - 2. Find g, given that x(g) = 0.
-42, 1/15
Let j(v) = 9*v**4 + 101*v**3 + 74*v**2 - 163*v. Let a(z) = -13*z**4 - 151*z**3 - 112*z**2 + 246*z. Let m(x) = 7*a(x) + 10*j(x). Factor m(y).
-y*(y - 1)*(y + 2)*(y + 46)
Let g(m) be the second derivative of 3*m**5/80 - 125*m**4/16 + 719*m**3/8 - 1785*m**2/8 - 6881*m. Let g(h) = 0. What is h?
1, 5, 119
Let k be ((-2)/3)/(2/(-102)). Suppose j = -3*i - 4*i + 20, 0 = 5*i - 5*j + 20. Determine w, given that -k*w**i + 24*w**2 - 10*w**2 - 8*w = 0.
-2/5, 0
Let l(c) be the second derivative of c**6/50 - 9*c**5/10 + 209*c**4/20 - 1385*c. What is x in l(x) = 0?
0, 11, 19
Let v(x) be the first derivative of 5*x**6/6 + 29*x**5 + 785*x**4/2 + 7730*x**3/3 + 16425*x**2/2 + 10125*x - 2016. Find h, given that v(h) = 0.
-9, -5, -1
Let r = 747 - 708. Suppose -r = 7*i - 74. Factor -20/3 + i*w + 5/3*w**2.
5*(w - 1)*(w + 4)/3
Let w(i) = -3*i**2 - 19*i + 16. Let o be w(-7). Let c be (8/(-6))/o*(-36)/56. Find l such that -225/7*l + 375/7 + 45/7*l**2 - c*l**3 = 0.
5
Let q(w) be the first derivative of -2/15*w**3 - 29/5*w**2 + 124/5*w + 172. Factor q(t).
-2*(t - 2)*(t + 31)/5
Let q = -49690809 + 175160104081/3525. Let h = q - 2/1175. Suppose h*j**2 - 8/3*j + 2 = 0. What is j?
1, 3
Factor -21/4*f**2 + 15/4*f**3 - 6*f + 3.
3*(f - 2)*(f + 1)*(5*f - 2)/4
Factor 285 - 5*o**2 + 1525*o - 709 - 2901 + 295.
-5*(o - 303)*(o - 2)
Let q(i) be the first derivative of 28*i**2 + 80*i - 14 + 1/10*i**4 + 44/15*i**3. Factor q(v).
2*(v + 2)*(v + 10)**2/5
Solve -54/7*a**4 - 10/7*a**5 - 72/7*a**2 - 100/7*a**3 + 0 - 16/7*a = 0.
-2, -1, -2/5, 0
Let m be (126/28)/(2/(-12)). Let l = m + 72. What is o in -20 - 22*o**2 - 8*o**2 + 0*o**3 + l*o + 2*o**3 + 3*o**3 = 0?
1, 4
Let b be (-41288)/5896 - 21/(-3). Let w = b + 4468/16951. Suppose -2/23*r**2 + w*r**3 + 2/23*r**4 - 4/23*r - 2/23*r**5 + 0 = 0. What is r?
-1, 0, 1, 2
Let h be -2*(-2)/10 - 22/55. Suppose -9*l + 2*l + 35 = h. Let -12*r**4 + 18*r**4 + 4*r**3 + 7*r**5 - l*r**5 = 0. What is r?
-2, -1, 0
Let c(g) = g**3 - g**2 + g + 1. Let u = 130 - 131. Let z(f) = -f**3 - 31*f**2 + 123*f + 159. Let w(h) = u*z(h) - 3*c(h). Suppose w(m) = 0. What is m?
-1, 9
Let p(j) be the second derivative of -5/14*j**4 - 14*j + 3/140*j**5 - 12*j**2 - 26/7*j**3 + 0. Factor p(z).
3*(z - 14)*(z + 2)**2/7
Suppose -i - 1 = 3*n, -2*n + 4*n = i + 1. Suppose 6*c - 13*c + 14 = n. Factor -3/8*s**3 + 3/2 - 9/8*s**c + 0*s.
-3*(s - 1)*(s + 2)**2/8
Let q = -15331 + 31365/2. Let v = q - 351. Factor -v*k - 1/4 - 1/4*k**2.
-(k + 1)**2/4
Let j(b) be the second derivative of -b**6/2160 - 5*b**5/144 - 23*b**4/72 - b**3/6 - 6*b**2 - 3*b - 11. Let l(a) be the second derivative of j(a). Factor l(w).
-(w + 2)*(w + 23)/6
Let l be ((-36)/(-21))/((-3)/(-42)). Suppose 6*u - 48 - l = 0. Find y, given that u*y**2 - 6*y**2 - 2*y**3 + 2 - 8*y + 2*y = 0.
1
Let m = -28791 + 28794. Determine n so that 324/13 - 14/13*n**m + 256/13*n**2 - 1206/13*n = 0.
2/7, 9
Let p(b) be the first derivative of 3*b**4/32 - 1353*b**3/2 + 1830609*b**2 - 2201612424*b - 6626. Factor p(x).
3*(x - 1804)**3/8
Let c(a) be the second derivative of 2*a**7/21 - 2*a**6/5 - 11*a**5/5 + a**4 + 20*a**3/3 + 1117*a. Suppose c(m) = 0. Calculate m.
-2, -1, 0, 1, 5
Let r(t) be the first derivative of -3/10*t**4 + 4*t + 3/100*t**5 + 0*t**3 - 1 + 0*t**2. Let i(j) be the first derivative of r(j). Factor i(d).
3*d**2*(d - 6)/5
Let b be 3/27 + (-104)/(-36). Let u(k) = k**2 - 2*k. Let r be u(-1). Factor -3*c**b + 4*c - 7*c - r - 6*c**2 + 3.
-3*c*(c + 1)**2
Let l(f) be the third derivative of -f**7/42 + 5*f**6/24 + 19*f**5/4 + 475*f**4/24 + 110*f**3/3 - 7*f**2 - 36. What is j in l(j) = 0?
-4, -1, 11
Let l(w) be the first derivative of -7*w**5/150 + w**4/10 + 19*w**2/2 - 40. Let g(t) be the second derivative of l(t). Factor g(c).
-2*c*(7*c - 6)/5
Suppose -h - 1 = -358*f + 356*f, -38 = -13*f + 2*h. Solve 0 - 3*c**3 + 0*c**2 - 3/2*c**5 + 9/2*c**f + 0*c = 0 for c.
0, 1, 2
Let i(r) = -r**3 - 10*r**2 - 11*r - 18. Let a(g) = -g - 16. Let w be a(-7). Let y be i(w). Factor -u**2 + 72 + 3*u**2 + y*u**2 + 15*u + 9*u.
2*(u + 6)**2
Let w(q) be the third derivative of q**6/200 - q**5/150 - 9*q**4/40 + 3*q**3/5 - 2*q**2 + 77*q. Determine o, given that w(o) = 0.
-3, 2/3, 3
Let g(l) be the third derivative of l**6/15 + 197*l**5/10 + 85*l**4 - 292*l**3/3 + 7662*l**2. What is j in g(j) = 0?
-146, -2, 1/4
Let s(o) = -o**2 + 39 - 17*o - 2*o**2 - 3*o + o + 23*o. Let a(i) = -8*i**2 + 8*i + 116. Let u(n) = -4*a(n) + 11*s(n). Factor u(d).
-(d - 7)*(d - 5)
Let q(h) be the first derivative of h**4/18 + 1072*h**3/9 + 71824*h**2 + 8835. Factor q(x).
2*x*(x + 804)**2/9
Let c(x) be the third derivative of x**5/15 + 5*x**4/21 + 2*x**3/7 - 42*x**2 - 5*x. Factor c(j).
4*(j + 1)*(7*j + 3)/7
Let p be (-2)/12 - -161*49/210. Let h = p + -143/5. Factor -h*m + 2/5*m**2 + 242/5.
2*(m - 11)**2/5
Let z be ((-12)/150)/((-1070)/26750). Factor 36*u - 4*u**3 + 81/4 + 1/4*u**4 + 23/2*u**z.
(u - 9)**2*(u + 1)**2/4
Let y(n) = 5*n**2 + 124*n + 261. Let v(s) = -s**2 + 4*s + 1. Let f(t) = 3*v(t) + y(t). Suppose f(g) = 0. What is g?
-66, -2
Let a(n) = -9*n**2 + 21*n - 7. Let m(z) = -z**2 + 6*z - 13. Let v be m(9). Let y = v - -41. Let o(u) = -u**2 - u + 1. 