3*z**5 - 4/13 + 8/13*z**3 + 0*z**p - 6/13*z = 0.
-1, 1, 2
Let j be ((-92)/(-56)*-2)/(5/(-35)). Factor -j*d + 6*d + 2*d + 44 - 25*d - 4*d**2.
-4*(d - 1)*(d + 11)
Let j(x) be the first derivative of 3*x**5/5 + 21*x**4/4 - 31*x**3 - 381*x**2/2 - 270*x + 4100. Let j(z) = 0. Calculate z.
-9, -2, -1, 5
Let p(c) be the first derivative of c**3 + 30*c - 21/2*c**2 + 14. Factor p(z).
3*(z - 5)*(z - 2)
Let a be -11 + 1750/154 + (5520/385)/3. Determine n, given that 34/7*n - 2/7*n**2 + a = 0.
-1, 18
Suppose 7*z + 0*c - 49 = -5*c, -4*z + 5*c - 27 = 0. Factor 0 - 13/2*r**z - 7/2*r**4 + 2*r + 1/2*r**5 + 15/2*r**3.
r*(r - 4)*(r - 1)**3/2
Let l(z) = -4*z**2 - 8*z - 3. Let k(o) = -8*o**2 - 16*o - 7. Let s(r) = 3*r - 7. Let p be s(-7). Let d = p + 35. Let y(g) = d*l(g) - 3*k(g). Solve y(b) = 0.
-2, 0
Let y be ((-124)/465)/((-40)/450). Factor 2/15*t**4 - 8/5*t + 8/15 + 26/15*t**2 - 4/5*t**y.
2*(t - 2)**2*(t - 1)**2/15
Suppose -3*m = a - 43, m = -m - 5*a + 7. Let w(l) = l - 14. Let h be w(m). Factor 847 - 4*q - 847 - 4*q**h.
-4*q*(q + 1)
What is a in 568*a**3 - 64/5 + 1171/5*a**4 + 1068/5*a**2 + 27*a**5 - 160*a = 0?
-4, -1, -2/27, 2/5
Let j(u) be the third derivative of -121*u**7/14 + 9119*u**6/40 - 826*u**5/25 + 3*u**4/2 + u**2 - 4*u - 197. Factor j(z).
-3*z*(z - 15)*(55*z - 2)**2/5
Suppose 136*z = -76 + 1028. Let v(d) be the second derivative of -2/21*d**z + 0 + 2*d + 0*d**2 + 2/5*d**5 + 0*d**3 + 0*d**4 - 2/15*d**6. Factor v(p).
-4*p**3*(p - 1)*(p + 2)
Let z be 26 - (-36)/(-120)*10716/171. Let t be (-1)/(1/2)*-1. What is n in -z + t*n**2 - 86/5*n = 0?
-2/5, 9
Let s(q) be the second derivative of q**7/12600 - q**6/3600 + 7*q**4/12 + q**3/2 + q + 4. Let w(b) be the third derivative of s(b). Factor w(o).
o*(o - 1)/5
Let s(x) be the second derivative of x**4/78 + 20*x**3/39 + 64*x**2/13 - 3*x + 419. Determine c so that s(c) = 0.
-16, -4
Suppose -44*n**3 - 31*n**2 + 48*n**4 - 17*n**2 + 12*n**5 - 20*n**5 + 46*n + 6*n**5 = 0. Calculate n.
-1, 0, 1, 23
Let x be ((-2)/1)/(((-33)/(-6))/11). Let i(k) = k**3 + 5*k**2 + 4*k + 2. Let s be i(x). Factor -3*c**2 + 32*c + 14*c**2 + 5*c**2 + s*c**3.
2*c*(c + 4)**2
Let w = -509 - -515. Let o be (-2)/(-32)*66 - w/48. Find m such that 3/8*m**3 + 3/8*m**o + 0*m - 3/4*m**2 + 0 = 0.
-2, 0, 1
Solve 2/5*x**2 + 124*x + 618/5 = 0 for x.
-309, -1
Let b(l) be the first derivative of -l**4/10 + 776*l**3/5 - 451632*l**2/5 + 116822144*l/5 - 1947. Factor b(a).
-2*(a - 388)**3/5
Let y(b) be the second derivative of b**5/40 - 9*b**4 - 217*b**3/12 - 2*b - 166. Factor y(s).
s*(s - 217)*(s + 1)/2
Factor -405*y - 570*y - 333*y - 604*y**2 + 127*y - 29*y - 4.
-2*(y + 2)*(302*y + 1)
Let j = -7049 + 7082. Factor -j*q - 3/4*q**2 - 363.
-3*(q + 22)**2/4
Let n(k) be the second derivative of -1/16*k**4 - 7/2*k**3 + 0*k**2 - 1 - 6*k. Factor n(j).
-3*j*(j + 28)/4
Solve -65/2*i**3 + 23 + 21/2*i + 3/2*i**4 - 93/2*i**2 = 0 for i.
-1, 2/3, 23
Suppose -12 = 12*u + 12. Let f be (-6)/(12/(-12)) - (0 - u). Let -h**2 + 0*h + 0 + 2/3*h**3 + 1/3*h**f = 0. Calculate h.
-3, 0, 1
Let h(d) = -27*d**2 - 8960*d + 8919. Let z(y) = -305*y**2 - 98570*y + 98110. Let f(w) = -45*h(w) + 4*z(w). Determine g so that f(g) = 0.
1, 1783
Suppose -3*a = p - 12, -2*a - 24 = -6*a - 4*p. Suppose -5*o = -a*o - 10. Find t, given that -o*t**2 + 0*t - 9*t + 15*t**3 - t = 0.
-2/3, 0, 1
Let t = -336 - 196. Let s = t + 1065/2. Determine n, given that 2*n**3 - 5/2*n + 2*n**4 - n**2 - 1 + s*n**5 = 0.
-2, -1, 1
Suppose 4*w**2 + 741 + 118*w - 118*w + 439*w + 401*w + 923 = 0. What is w?
-208, -2
Let t(y) be the first derivative of 16*y**5/5 + 131*y**4 + 3920*y**3/3 - 3298*y**2 - 6936*y + 772. Determine k, given that t(k) = 0.
-17, -3/4, 2
Let t(b) be the second derivative of b**6/6 - 247*b**5/20 - 103*b**4/3 + 34*b**3 + b - 112. Factor t(p).
p*(p - 51)*(p + 2)*(5*p - 2)
Find c such that -5*c**5 - 2805*c - 91*c**4 + 1880*c**2 - 412*c**3 + c**4 + 222*c**3 + 1210 = 0.
-11, 1, 2
Let t = 137 - 146. Let b(m) = -7*m**3 + 12*m**2 + 27*m + 17. Let k(d) = -3*d**3 + 6*d**2 + 13*d + 8. Let p(r) = t*k(r) + 4*b(r). Factor p(y).
-(y + 1)**2*(y + 4)
Suppose 32/7 - 32/7*k**2 - 6*k**3 + 6*k = 0. Calculate k.
-1, -16/21, 1
Let t(x) be the second derivative of 2/15*x**6 - 2 + 4*x - 3*x**4 + 10/3*x**3 + 3/5*x**5 + 0*x**2. Solve t(b) = 0.
-5, 0, 1
Let i(f) = -57*f - 39. Let n be i(-14). Suppose -n = -7*t - 4*t. Suppose -t + 16*l**2 - 25*l - 7*l + 69 - 4*l**4 + 8*l**3 = 0. What is l?
-2, 0, 2
Let h(s) be the first derivative of 36*s**5/5 + 83*s**4 - 168*s**3 - 1144*s**2 - 480*s + 660. Find j, given that h(j) = 0.
-10, -2, -2/9, 3
Factor 2/5*u**5 + 1420*u**2 - 558*u**3 + 264/5*u**4 + 0*u + 0.
2*u**2*(u - 5)**2*(u + 142)/5
Let p(o) = -o**3 - 3*o**2 - 6*o - 2. Let b = 162 + -156. Let y(x) = -7*x**3 - 19*x**2 - 36*x - 13. Let c(q) = b*y(q) - 39*p(q). Factor c(s).
-3*s*(s - 3)*(s + 2)
Let b = 5/197998 + 395941/2177978. Let l = -874/33 + 80/3. Let l*a**2 + b*a - 4/11 = 0. Calculate a.
-2, 1
Factor -156 - 2026*t**2 + 5999*t**4 + t**5 - 11979*t**4 + 1925*t + 5927*t**4 - 469 + 778*t**3.
(t - 25)**2*(t - 1)**3
Let v(c) = -c**3 + 2*c**2 + 2*c + 5. Let j be v(3). Factor 33*r - 13*r + 35*r**4 - 27*r**j - 53*r**2 + 25*r**3.
5*r*(r - 1)*(r + 2)*(7*r - 2)
Suppose -x + 4*y - 13 = 0, x - 19 = -20*y + 16*y. Let h(s) be the second derivative of 0*s**2 + 0 + 1/3*s**x + 11*s - 1/6*s**4. Factor h(r).
-2*r*(r - 1)
Let o = -347155/12 + 173627/6. Factor -9/4 + o*w**2 - 7*w + w**3.
(w - 1)*(w + 9)*(4*w + 1)/4
What is d in -51/7*d + 162/7 - 1/7*d**2 = 0?
-54, 3
Let o = 11 - -34. Suppose -5*f = 10*f - o. Factor 238*q**f - 4*q**4 + 9*q**4 - 233*q**3.
5*q**3*(q + 1)
Let i = 1668 + -1673. Let n be 37*(-6)/(-42) + i. Solve 10/7*b**2 + 6/7*b**3 - n*b**4 + 0 - 2/7*b**5 + 4/7*b = 0 for b.
-1, 0, 2
Let d(u) be the third derivative of -31*u**2 + 1/120*u**5 + 0 + 1/6*u**4 + 0*u + 0*u**3. Factor d(p).
p*(p + 8)/2
Let x(c) be the first derivative of -c**6/90 + c**4/12 - c**3/9 - 12*c - 19. Let l(t) be the first derivative of x(t). Factor l(f).
-f*(f - 1)**2*(f + 2)/3
Determine n so that -10*n**4 - 21/2*n**3 - 3/2*n**5 + 0 + 10*n + 12*n**2 = 0.
-5, -2, -2/3, 0, 1
Let f(o) be the third derivative of o**6/30 - 5*o**5/3 - o**4/6 + 50*o**3/3 + 1798*o**2. Solve f(m) = 0.
-1, 1, 25
Let q be -1 - (-91)/52*(-50)/(-35). Let h(v) = v**2 - 4*v - 2. Let a be h(5). Factor 0 - 1/2*z + q*z**a - z**2.
z*(z - 1)*(3*z + 1)/2
Let r = 6054 - 6052. Let a(d) be the third derivative of 0*d**4 + 1/15*d**5 + 0*d**6 + 0*d + 0 + 11*d**r - 1/70*d**7 + 0*d**3 - 1/336*d**8. Factor a(l).
-l**2*(l - 1)*(l + 2)**2
Let d(c) be the first derivative of 5*c**6/27 + 4*c**5/5 - 29*c**4/9 - 80*c**3/9 - 19*c**2/9 + 20*c/3 + 2065. Find g such that d(g) = 0.
-5, -1, 2/5, 3
Let x(c) be the first derivative of 5*c**6/6 + 115*c**5 + 19435*c**4/4 + 169225*c**3/3 + 275340*c**2 + 608400*c + 5507. Determine l so that x(l) = 0.
-52, -5, -3
Let o = 31548 - 31545. Solve 0 - 1/2*w**4 - 3/2*w**2 - 5/3*w**o - 1/3*w = 0.
-2, -1, -1/3, 0
Let r(v) = v. Let p(t) = -2*t**2 - 4114*t - 2117682. Let o(u) = p(u) - 2*r(u). Solve o(d) = 0 for d.
-1029
Factor -135*j - 243/8 - 150*j**2.
-3*(20*j + 9)**2/8
Let z(j) = j**2 + 10*j + 1. Let p(y) = -9*y**2 - 11*y - 9. Let o(c) = c**2 - c + 1. Let r(u) = 35*o(u) + 5*p(u). Let t(k) = 6*r(k) + 55*z(k). Factor t(a).
-5*(a - 1)**2
Factor 668/5*m + 36/5*m**3 + 24 + 584/5*m**2.
4*(m + 1)*(m + 15)*(9*m + 2)/5
Determine g so that 260*g**4 - 7*g**5 - 6168*g**2 + 8*g**5 + 4068*g**3 + 228*g**2 - 26136*g + 3*g**5 = 0.
-33, -2, 0, 3
Let -455*b + 1315*b**3 + 5*b**5 + 451*b**2 - 865*b + 3609*b**2 - 12100 + 8235*b**2 - 195*b**4 = 0. What is b?
-5, -1, 1, 22
Let u(y) = -30*y**2 + 57*y + 7. Let h(s) = -20*s**2 + 38*s + 5. Let o(x) = -7*h(x) + 5*u(x). Let i(b) = 6*b**2 - 10*b. Let g(c) = 7*i(c) + 4*o(c). Factor g(l).
2*l*(l + 3)
Let k(v) = -5*v**3 + 196*v**2 - 1660*v - 4164. Let r(p) = 10*p**3 - 393*p**2 + 3320*p + 8327. Let o(s) = 7*k(s) + 4*r(s). Suppose o(n) = 0. What is n?
-2, 16, 26
Let f(w) be the third derivative of -41*w**2 + 0*w**3 - 1/112*w**8 + 3/40*w**6 + 0 + 1/5*w**5 + 0*w - 1/2*w**4 - 1/35*w**7. Find g such that f(g) = 0.
-2, 0, 1
Solve -4/5*h**2 + 96/5*h + 0 = 0.
0, 24
Let j = 84 + -82. Factor -1242*l + 48282*l - 22960*l**j + 643*l**3 - 225*l**4 + 5*l**5 + 2937*l**3 - 27440.
5*(l - 14)**3*(l -