 given that 4/9*i + 0 - 2/9*i**4 + 8/9*i**3 - 10/9*i**u = 0.
0, 1, 2
Suppose 193*m = 209*m. Let g be (((-1)/(-7))/(-1))/(4/(-12)). Factor -9/7*t - g*t**2 + m.
-3*t*(t + 3)/7
Suppose -17*v = -4*c - 20*v + 44, 2*c - 3*v = 40. Factor -18*n + 17716 - 17700 + 3*n**4 - c*n**2 - 5*n**4 + 18*n**3.
-2*(n - 8)*(n - 1)**2*(n + 1)
Let k(d) be the second derivative of d**4/12 - 55*d**3/6 - 87*d**2 + 2055*d. Determine w, given that k(w) = 0.
-3, 58
Let s(g) be the second derivative of -g**6/4140 - g**5/690 + 47*g**3/6 + 2*g + 6. Let f(a) be the second derivative of s(a). Solve f(o) = 0.
-2, 0
Let a(q) be the first derivative of 8/3*q - 8/3*q**2 + 1/3*q**4 - 26/9*q**3 + 2/5*q**5 + 64. Let a(b) = 0. What is b?
-2, -1, 1/3, 2
Let t(j) be the first derivative of j**4/20 + 46*j**3/15 - 29*j**2/2 + 98*j/5 - 1180. Determine c so that t(c) = 0.
-49, 1, 2
Let k(s) be the second derivative of -3/65*s**6 + 3/26*s**5 - 16/39*s**3 + 4/39*s**4 - 8*s - 3 + 0*s**2. Determine u so that k(u) = 0.
-1, 0, 4/3
Suppose 2*z - 2*k - 13 = -1, z - 5*k + 6 = 0. Suppose -i - z = -3*g, -2*i + 0*i = 6. Factor g*n**2 - 124*n**3 + 99*n**3 + 8*n**2.
-5*n**2*(5*n - 2)
Let v(o) = 4*o**2 - o - 2. Let m(j) = -37*j**2 + 406*j + 413. Let t(s) = -m(s) - 10*v(s). Find h such that t(h) = 0.
-131, -1
Let g = -6469 - -6469. Let x(h) be the second derivative of g - 64/3*h**2 + 32*h - 1/18*h**4 - 16/9*h**3. Factor x(b).
-2*(b + 8)**2/3
Solve -2*w**2 - 3*w**2 - 4002 + 4422 + 125*w = 0.
-3, 28
Solve -22*s - s**5 - 32*s + 115*s**3 + 224 + 54*s**4 - 164*s**2 + 4*s - 178*s = 0 for s.
-2, 1, 56
Let a(o) = -8*o**3 + 8*o**2 + 16*o - 9. Let u(k) = 9*k**3 - 9*k**2 - 16*k + 8. Let d(m) = 8*a(m) + 7*u(m). Factor d(r).
-(r - 4)*(r - 1)*(r + 4)
Factor -4*q**3 - 846 + 252*q - 535 + 20*q**2 + 4*q**2 - 187.
-4*(q - 7)**2*(q + 8)
Let k = 186179/9 - 20665. Let h = k + -26/9. Find p, given that 16/3*p**5 - 8/3*p**4 + h*p**2 + 2/3 - 47/3*p**3 - 19/3*p = 0.
-2, 1/4, 1
Let m(w) be the second derivative of -w**5/70 + 17*w**4/42 - 1539*w. Factor m(j).
-2*j**2*(j - 17)/7
Let v be (-78243)/11855 - (-203)/30. Find q, given that v*q**2 + 4/3*q + 2/3 - 1/6*q**5 - 7/6*q**3 - 5/6*q**4 = 0.
-2, -1, 1
Let p(n) be the first derivative of -n**4/22 + 148*n**3/11 - 1140*n**2 + 4400*n + 5204. Factor p(m).
-2*(m - 110)**2*(m - 2)/11
Factor -15 + 17/8*v**3 + 43/2*v - 1/8*v**4 - 43/4*v**2.
-(v - 10)*(v - 3)*(v - 2)**2/8
Let c(f) be the second derivative of 1369*f**5/80 + 6623*f**4/48 - 367*f**3/8 + 45*f**2/8 + 6099*f. Factor c(n).
(n + 5)*(37*n - 3)**2/4
Factor 13 - 6*q - 1/4*q**2.
-(q - 2)*(q + 26)/4
Let f be ((-2)/4)/(2 - (-21)/(-10)). Suppose 0 = 4*v - 31 + 11. Factor 9*o**2 + 0*o**v - 4*o**2 - 2*o**3 - 5*o**5 - f*o**4 + 7*o**3.
-5*o**2*(o - 1)*(o + 1)**2
Let m = -178/249 + 87/83. Let t(y) be the first derivative of y - m*y**3 + 0*y**2 - 17. Suppose t(l) = 0. What is l?
-1, 1
Suppose 826 = 13*w + 2529. Let i = w + 131. Determine u so that 0*u**2 - 8/9*u**3 + 2/9*u**5 + 0 + 0*u + i*u**4 = 0.
-2, 0, 2
Let l(z) be the first derivative of -2*z**5/35 + 593*z**4/14 + 2*z**3/21 - 593*z**2/7 + 4670. Find m, given that l(m) = 0.
-1, 0, 1, 593
Suppose -504/5 - 74/5*m - 2/5*m**2 = 0. Calculate m.
-28, -9
Solve 0 + 10*a**2 + 2/3*a**3 + 52/3*a = 0.
-13, -2, 0
Let y(b) = -21*b**3 - 802*b**2 - 1755*b + 1530. Let u(j) = 66*j**3 + 2407*j**2 + 5265*j - 4590. Let i(a) = 2*u(a) + 7*y(a). Determine k, given that i(k) = 0.
-51, -3, 2/3
Suppose -33 - 23 = 7*f. Let u(r) = -17*r - 135. Let c be u(f). Solve -4/3*n - 1/3*n**2 - c = 0 for n.
-3, -1
Suppose 0 = 5*n + 5*t - 15, -n + 0*t + 3 = -t. Let b be 10/(-18) - 5217/(-2538). Factor 9/8*s**n + b*s**2 + 3/8*s + 0.
3*s*(s + 1)*(3*s + 1)/8
Suppose 3 - 1/2*i - 1/2*i**2 = 0. What is i?
-3, 2
Let g(h) = -3*h - 88. Let y be g(-6). Let s be (-13)/65 + (-34)/y. Factor 0 + s*a**4 - 2/3*a**3 - 2/21*a + 10/21*a**2.
2*a*(a - 1)**2*(3*a - 1)/21
Factor 13/3*c**3 + 2/3 - 14/3*c**2 - 25/3*c.
(c - 2)*(c + 1)*(13*c - 1)/3
Let p(n) be the third derivative of 2*n**7/315 - n**6/18 - 4*n**5/15 + 22*n**4/9 + 160*n**3/9 + 2*n**2 - 43. Determine m so that p(m) = 0.
-2, 4, 5
Suppose -321/8*i**2 - 341/8*i + 1/8*i**4 + 21/8*i**3 + 0 = 0. Calculate i.
-31, -1, 0, 11
Let t(f) be the first derivative of 1/12*f**6 + 1/8*f**4 + 62 + 4*f - 1/2*f**2 - 13/6*f**3 + 1/2*f**5. Suppose t(h) = 0. Calculate h.
-4, -2, -1, 1
Let u = -53/18 - -451/144. Let g(w) be the second derivative of -3/80*w**5 + 0 + 3/4*w**2 + 5/8*w**3 - 1/40*w**6 + u*w**4 - 16*w. Suppose g(a) = 0. Calculate a.
-1, 2
Let b(w) = w**2 + 9*w - 90. Let y be b(6). Let q(x) be the second derivative of -9/2*x**2 - 13/2*x**3 - 3/5*x**5 - 4*x + y - 4*x**4. Factor q(o).
-3*(o + 3)*(2*o + 1)**2
Let q = -163091/15 - -10877. Let r = -241/60 + q. Suppose 0*z + 3/4*z**2 + r*z**3 + 0 = 0. What is z?
-3, 0
Factor 288 + 94067*g**2 + 110*g - 960 - 94069*g**2.
-2*(g - 48)*(g - 7)
Let j(k) be the second derivative of -k**5/5 - 1479*k**4 - 4374882*k**3 - 6470450478*k**2 - 4210*k. Solve j(i) = 0 for i.
-1479
Factor 81/5 + 79/5*a**2 + 161/5*a - 1/5*a**3.
-(a - 81)*(a + 1)**2/5
Let g = 2/374067 - -3615977/748134. Determine z, given that -g*z - 5/6*z**2 - 10/3 = 0.
-5, -4/5
Let v be 1 - 1 - -4*(-25)/(-20). Factor 166 - 3*c - 351 + 27*c - 4*c**2 - v*c**2 + 170.
-3*(c - 1)*(3*c - 5)
Let o(f) be the second derivative of f**8/33600 - f**7/2520 - 53*f**4/12 + 3*f - 12. Let a(b) be the third derivative of o(b). Suppose a(n) = 0. Calculate n.
0, 5
Let o be (0 + 2)/(((-252)/12)/(-21)). Let u(q) be the first derivative of 0*q + 0*q**3 - o*q**4 + 2/5*q**5 + 0*q**2 + 21. Solve u(r) = 0 for r.
0, 4
Let t(g) be the third derivative of -g**7/70 - 19*g**6/600 - g**5/300 + g**4/40 + 2475*g**2. Find c such that t(c) = 0.
-1, -3/5, 0, 1/3
Determine v so that -5850 + 2029*v + 2482*v - 5*v**2 - 3816*v = 0.
9, 130
Suppose 131 = 3*v + 29. Suppose 8*s = -v*s - 13*s. Factor -1/4*k**3 + 1/2*k**2 + s + 0*k.
-k**2*(k - 2)/4
Let c(u) be the third derivative of u**6/120 - u**5/10 - u**4/6 + 4*u**3 - 7*u**2 - 3*u. What is s in c(s) = 0?
-2, 2, 6
Let n(z) be the third derivative of -70*z**2 - 1/10*z**5 + 0*z + 0 - 4/3*z**3 - 13/12*z**4. Factor n(o).
-2*(o + 4)*(3*o + 1)
Factor -4/3*i**2 + 160 - 232/3*i.
-4*(i - 2)*(i + 60)/3
Let o(z) be the third derivative of -7*z**6/30 - 986*z**5/3 - 434368*z**4/3 - 495616*z**3/3 - 128*z**2 + 3. Factor o(l).
-4*(l + 352)**2*(7*l + 2)
Factor 2/5*z**2 + 7303842/5 + 7644/5*z.
2*(z + 1911)**2/5
Let c = 23276/377 + -1786/29. Factor 0 - 2/13*g - c*g**2.
-2*g*(g + 1)/13
Let h be ((-1)/24)/(0 + -5 + -5). Let q(i) be the third derivative of 7*i**2 + h*i**5 + 0*i + 1/48*i**4 + 0 + 0*i**3. What is a in q(a) = 0?
-2, 0
Let y(j) be the second derivative of 0 + 221*j + 61/10*j**3 + 27/5*j**2 - 7/20*j**4. Suppose y(q) = 0. What is q?
-2/7, 9
Suppose -f + 5*a - 25 = 0, 8*a - 4*a - 20 = 5*f. Let y(s) = -2*s + 2. Let j be y(f). Solve 22/3*g - 2 + 8/3*g**j = 0.
-3, 1/4
Suppose 0 = -34*m + 6284 - 5366. Let k(l) be the second derivative of -48*l**2 + 1/20*l**6 + 0 - 4*l**3 - m*l + 6/5*l**5 + 63/8*l**4. Let k(q) = 0. What is q?
-8, -1, 1
Let h(v) = 15*v**2 - 105*v + 70. Let z(f) = 2*f**2 + 3 + 7 - 9*f - 6*f. Suppose 13*r - 15*r = -40. Let t(s) = r*z(s) - 3*h(s). Factor t(l).
-5*(l - 2)*(l - 1)
Let w = 975 - 975. Let q(s) be the second derivative of 6*s + 0 + w*s**2 + 1/6*s**4 + 0*s**3. Factor q(m).
2*m**2
Let k be ((-2)/(-15))/(18 - (-10 - (-2765)/100)). Factor 2/7*a**2 - 2/21*a**3 + 0 + k*a.
-2*a*(a - 4)*(a + 1)/21
Let s = -574352 - -574354. Factor 188/11*h + 2/11*h**s + 4418/11.
2*(h + 47)**2/11
Let x(k) = 3*k**2 - 222*k + 2081. Let w be x(11). Let t(b) be the first derivative of -b**w + 10 - 1/4*b**4 + b**3 + 0*b. Factor t(z).
-z*(z - 2)*(z - 1)
Let c(u) be the first derivative of -2*u**2 + 16/3*u**3 - 31 - 2/3*u**6 + 0*u - 6*u**4 + 16/5*u**5. Factor c(v).
-4*v*(v - 1)**4
Let g = -587 - -604. Let s be (-147)/(-392) - g/(-8). Factor 3/4*i**2 - 2 - s*i.
(i - 4)*(3*i + 2)/4
Suppose 0 = 7*i + 4 - 39. Let a be 5/(90/174) - i. Factor 0 - 4/3*v**2 + 0*v + 8/3*v**4 + a*v**3.
2*v**2*(v + 2)*(4*v - 1)/3
Let q = -82 + 82. Let l(b) be the first derivative of q*b + 4 + 5/2*b**2 - 5/3*b**3. Find a, given that l(a) = 0.
0, 1
Factor 253/2*f - 121/4 - 89/4*f**2 + f**3.
(f - 11)**2*(4*f - 1)/4
Let u(j) = 9*j - 104. Let z be u(13). Suppose 