- 5*l**5 + 50*l**2 - 5*l**3 - 40 + 128*l - 36*l - 20*l**4 = 0.
-2, 1
Find c such that -44*c**2 - 42*c - 68*c**2 + 116*c**2 + 406*c = 0.
-91, 0
Let y(r) = 68*r + 60. Let u(m) = -m**2 - 205*m - 182. Suppose -26 = -19*p + 23*p + 5*n, -2*p = -5*n - 2. Let z(q) = p*u(q) - 11*y(q). Factor z(c).
4*(c + 1)*(c + 17)
Let o(u) be the second derivative of u**6/30 - 4*u**5/15 - u**4/2 + 35*u**3/2 - 56*u. Let z(d) be the second derivative of o(d). Factor z(i).
4*(i - 3)*(3*i + 1)
Let z(i) be the second derivative of i**6/8 + 43*i**5/12 - 65*i**4/4 + 80*i**3/3 + 75*i**2/2 + 3*i - 1. Let c(f) be the first derivative of z(f). Factor c(l).
5*(l - 1)*(l + 16)*(3*l - 2)
Let f(k) = 4*k**2 - 38*k + 24. Suppose 35*q = 36*q + 10. Let n(g) = g. Let t(l) = q*n(l) - f(l). Factor t(d).
-4*(d - 6)*(d - 1)
Suppose -133*p = -8 + 27 - 19. Let i(x) be the second derivative of 5/48*x**4 + 1/2*x**2 - 1/80*x**5 - 12*x + p - 1/3*x**3. Factor i(m).
-(m - 2)**2*(m - 1)/4
Factor 85/3 - 25/2*f - 5/6*f**2.
-5*(f - 2)*(f + 17)/6
Let l = -243083 + 243083. Find p such that l - 9/5*p**2 + 1/5*p**3 + 0*p = 0.
0, 9
Let j be (-8)/(-36)*(1/4)/(67/24120). Factor -128/5*m - j*m**2 - 1/10*m**5 - 64/5 - 7/5*m**4 - 38/5*m**3.
-(m + 2)**3*(m + 4)**2/10
Let o = 245866 - 245866. What is m in -3*m**3 + 0 + o*m - 18/7*m**2 - 3/7*m**4 = 0?
-6, -1, 0
Factor 0 + 28*y - 1/6*y**2.
-y*(y - 168)/6
Let z(m) = m**3 - 5*m**2 - 3*m - 13. Let w be z(6). Suppose 19 = w*g - 1, 3*c = -4*g + 22. Factor h**2 - 2*h**2 - 2*h**2 + h + 4*h**c.
h*(h + 1)
Suppose 1839*z - 767 - 1892 - 12*z**3 - 8159*z + 559 - 2685*z**2 - 13*z**3 = 0. What is z?
-105, -2, -2/5
Find l such that -13602 + 4*l**3 + 19943 - 15557 + 1536*l + 176*l**2 = 0.
-24, 4
Let s(f) be the second derivative of -f**4/36 + 49*f**2/6 - 32*f - 44. Determine i so that s(i) = 0.
-7, 7
Let a(i) be the first derivative of -1/480*i**5 + 17*i**2 + 0*i + 1/192*i**4 + 0*i**3 + 26. Let c(z) be the second derivative of a(z). Factor c(g).
-g*(g - 1)/8
Let q = 94 + -91. Solve -180*t**q - 8*t + 360*t**3 - 178*t**3 = 0.
-2, 0, 2
Factor 2*n**4 + 178*n**3 - 185 - 114*n**3 + 0*n**4 - 6*n**2 + 313 - 188*n.
2*(n - 1)**2*(n + 2)*(n + 32)
Let d(f) be the first derivative of -100 - 3/2*f**4 + 0*f**2 - 3*f**3 + 3*f. Find q, given that d(q) = 0.
-1, 1/2
Let p(b) = -b**4 + 2*b**2 + b + 1. Let q(m) = -7*m**4 - 78*m**3 - 91*m**2 + 5308*m - 13868. Let h(j) = -4*p(j) + q(j). Suppose h(k) = 0. What is k?
-17, 4
Factor -1/5*u**3 - 252/5 - 47/5*u**2 - 216/5*u.
-(u + 2)*(u + 3)*(u + 42)/5
Let n(j) be the first derivative of -6 + 0*j**2 + 0*j**4 - 2/5*j**5 + 2/3*j**3 + 0*j. Factor n(d).
-2*d**2*(d - 1)*(d + 1)
Let x = 1274 + -1272. Let f(p) be the first derivative of 23 - 1/3*p**3 - p**x + 0*p. Factor f(w).
-w*(w + 2)
Let p(u) = 4*u**2 - 8*u - 12. Let y be (4/(-6))/((-170)/(-90) + -2). Let i(t) = -3*t**2 - 1 + 0*t**2 + 4*t**2. Let m(j) = y*i(j) - p(j). Factor m(g).
2*(g + 1)*(g + 3)
Factor -4*g**3 - 140*g - 288 - 178*g - 140*g - 76*g**2 + 72*g + 26*g.
-4*(g + 1)*(g + 6)*(g + 12)
Suppose -58*l = -115*l + 741. Let t(h) be the first derivative of 1/10*h**4 + 1/5*h - 1/15*h**3 - 1/5*h**2 + l. Let t(v) = 0. Calculate v.
-1, 1/2, 1
Let q(t) be the first derivative of -t**6/3 + 24*t**5/5 - 13*t**4 - 8*t**3 + 27*t**2 + 3588. What is s in q(s) = 0?
-1, 0, 1, 3, 9
Factor 556516/11 + 1492/11*k + 1/11*k**2.
(k + 746)**2/11
Let z(o) = 4*o + 6*o**2 + 5*o + 15 + 0*o - 3*o**3. Let h(a) be the first derivative of a + 57. Let w(f) = -15*h(f) + z(f). Let w(r) = 0. What is r?
-1, 0, 3
Let q(h) = -34*h**3 - 561*h**2 - 2928*h - 2025. Let t(y) = 35*y**3 + 560*y**2 + 2940*y + 2025. Let w(m) = 5*q(m) + 4*t(m). Determine g, given that w(g) = 0.
-9, -5/6
Let d = 201642/11 + -1753937/99. Let a = 615 - d. Determine k, given that 2/3*k - 2/3*k**3 - a*k**4 + 2/9 + 2/9*k**2 = 0.
-1, -1/2, 1
Let g(j) be the third derivative of j**6/300 - 17*j**5/150 + 31*j**4/60 - j**3 - 2428*j**2. Let g(r) = 0. Calculate r.
1, 15
Let u(x) be the first derivative of x**3/15 - 2*x**2/5 - x + 1339. Factor u(v).
(v - 5)*(v + 1)/5
Let s(y) be the first derivative of -35/18*y**3 + 5/2*y**2 + 0*y + 5/24*y**4 - 80. Let s(t) = 0. What is t?
0, 1, 6
Factor -283939 + 10004 + 145751 - 422936 - 3320*s + 3320*s**3 + 551115*s**2 + 5*s**4.
5*(s - 1)*(s + 1)*(s + 332)**2
Let u(s) be the second derivative of -1/294*s**7 - 1/35*s**5 + 5*s + 1/42*s**4 + 5/42*s**3 - 5 - 2/105*s**6 + 1/7*s**2. Factor u(l).
-(l - 1)*(l + 1)**3*(l + 2)/7
Let s(v) = v**2 - 293. Let f be s(17). Let r(m) = -9*m**2 - 12*m - 9. Let x(o) = o**2 + o + 1. Let c be -2 + -28 + 1*2. Let n(a) = c*x(a) + f*r(a). Factor n(k).
4*(k + 2)*(2*k + 1)
What is k in -20/13*k**2 - 50/13*k - 2/13*k**3 + 0 = 0?
-5, 0
Let f(i) = 2*i**4 - 143*i**3 - 288*i**2 + 3*i - 3. Let w(j) = -2*j**4 + 144*j**3 + 288*j**2 - 4*j + 4. Let u(r) = -4*f(r) - 3*w(r). Factor u(n).
-2*n**2*(n - 72)*(n + 2)
Suppose 2*i = -2*i + 1560. Suppose 5*k + 2*m - 1176 = 761, -5*m = 3*k - 1166. What is z in -k + z + i - 5*z + z**2 = 0?
1, 3
Let g(j) = -j**3 - 15*j**2 - 14*j - 21. Let o be g(-14). Let n be (-34)/(-14) + (-12)/o. Factor r**5 + 4*r**2 - 2*r**4 + 2 - 4 - r**3 + r**5 + 2*r - 3*r**n.
2*(r - 1)**3*(r + 1)**2
Let m(f) = 304 - 152 - 160 - f. Let b be m(-11). Let -4/9*w**b - 2/9*w**2 - 4/9 + 10/9*w = 0. What is w?
-2, 1/2, 1
Let g(r) = r**2 + 10*r + 18. Let l be g(-8). Find y, given that -2*y**4 + 4*y**2 - l*y**4 + 0*y**3 + 0*y**3 = 0.
-1, 0, 1
Let v be (-7)/(-2)*(-946)/(-301). Let c be 0 + (v/5 - 14/35). Factor 1/5*o**2 - c*o + 8/5.
(o - 8)*(o - 1)/5
Let m = -5585 + 5589. Let c be 6 + (-13)/(117/(-6)). Factor -2/9*q**5 - 88/9*q**2 - c*q**3 - 16/3*q + 0 - 2*q**m.
-2*q*(q + 2)**3*(q + 3)/9
Let h be (-178)/(-9) + (-1 - 11/(-9)). Suppose -5*j**2 - j**4 - 10*j**3 + 16*j**3 + 8*j + h*j**2 = 0. What is j?
-1, 0, 8
Let w(x) be the first derivative of -x**6/90 - 3*x**5/10 - 3*x**4 - x**3/3 - 19*x + 77. Let a(k) be the third derivative of w(k). Factor a(n).
-4*(n + 3)*(n + 6)
Let -4*v**3 - v - 2638*v**2 + 1360*v**2 + 1322*v**2 + v = 0. Calculate v.
0, 11
Let b(s) be the first derivative of 0*s - 78 + 1/21*s**3 + 1/7*s**2. Factor b(w).
w*(w + 2)/7
Let q(z) be the third derivative of -z**6/120 - z**5/3 - 312*z**2 + 2*z. Let q(m) = 0. What is m?
-20, 0
Suppose 5*a - 19 = -2*b, -3*a - 3*b - 3 = -6*a. Factor -5*c + 41 - 11 - 2*c**2 + 0*c**2 - a*c**2.
-5*(c - 2)*(c + 3)
Let o = -79690273759/3681 - -21649083. Let m = o + 6/409. Let 16/9*f - m*f**4 - 2*f**3 + 2/9*f**5 - 8/3 + 26/9*f**2 = 0. What is f?
-3, -1, 1, 2
Let z = 8 - 10. Let v be z*(-2)/(-4)*-29. Find w such that -v*w**2 - 26*w**2 + 62*w**2 - 2*w + 9*w**3 = 0.
-1, 0, 2/9
Let u(s) = -2*s**3 + 113*s**2 + 60*s - 169. Let q be u(57). Let a(y) be the first derivative of 1/21*y**3 + 1 - 3/7*y + 1/7*y**q. Determine c so that a(c) = 0.
-3, 1
Let s(t) = 3*t**2 - t + 1. Let d(a) = -5*a**2 - 22*a - 12. Let g(o) = -2*o**2 + o. Let b(x) = -d(x) - 2*g(x). Let w(h) = 3*b(h) - 24*s(h). Factor w(j).
-3*(j - 2)*(15*j + 2)
Let u be (-5 - 16/(-2))/(2 - 1). Factor -10 - 20*d**2 - 53*d - d**u + 28*d - 4*d**3.
-5*(d + 1)**2*(d + 2)
Let k(n) be the second derivative of 0*n**2 + n + 0*n**3 - 1/189*n**7 + 4/135*n**6 + 136 + 1/27*n**4 - 1/18*n**5. Factor k(h).
-2*h**2*(h - 2)*(h - 1)**2/9
Let h(q) = 3 + 28*q**2 - q - 85*q**2 + 22*q**2. Let w be h(0). Factor 0 - 4/3*d - 2/3*d**2 + 2/3*d**w.
2*d*(d - 2)*(d + 1)/3
Let p(v) = -v**3 + 3*v**2 - v + 2. Let w(q) = -6*q**3 + 20*q**2 + 19*q + 10. Let o(s) = 10*p(s) - 2*w(s). Factor o(m).
2*m*(m - 8)*(m + 3)
Suppose 32*l - 439 + 119 = 0. Suppose 5*g - l*h - 4 = -7*h, 0 = 5*h - 10. Determine o, given that -2/3*o**5 - 6 - 10/3*o**4 + g*o + 28/3*o**2 - 4/3*o**3 = 0.
-3, -1, 1
Let m be (9/(-18))/(1/52*-2). Suppose 0 = -m*h + 3*h + 30. Factor 3*g - 5*g**2 + 21*g**5 + 3 - 18*g**5 - g**3 - g**2 - 5*g**3 + h*g**4.
3*(g - 1)**2*(g + 1)**3
Let j be ((-32)/(-40))/((-2)/(-5)). Let q = -28/4811 - -29230/62543. Factor -8/13 - 22/13*f**j + 24/13*f + q*f**3.
2*(f - 2)*(f - 1)*(3*f - 2)/13
Let u(f) be the first derivative of 4/51*f**3 - 1/34*f**4 + 0*f - 90 - 1/17*f**2. Let u(h) = 0. What is h?
0, 1
Let k(q) = 6*q**2 + 232*q + 152. Let x be k(-38). Let a(y) be the second derivative of x*y**2 + 1/66*y**4 + 2*y + 1/11*y**3 + 0. Factor a(v).
2*v*(v + 3)/11
Let z(n) be the first derivative of -64/7