se 1/4*c**u + 16 + 4*c = 0. What is c?
-8
Let j(r) = 376*r + 194771. Let o be j(-518). Solve -2*h**2 + 0*h + 16/9*h**o + 2/9*h**4 + 0 = 0 for h.
-9, 0, 1
Let n(g) be the second derivative of g**7/336 + g**6/40 + 9*g**5/160 - g**4/24 - g**3/4 + 1296*g. Factor n(d).
d*(d - 1)*(d + 2)**2*(d + 3)/8
Let z be (2 - 0)/(2394/297 + -8). Suppose -55*k - z = -33. Solve -2/5*d**2 + 2/5*d**4 + 0*d**3 - 1/5*d**5 + k + 1/5*d = 0.
-1, 0, 1
Suppose -244 = 926*v - 3022. Suppose -2/15*h**v - 2*h - 6/5*h**2 + 10/3 = 0. Calculate h.
-5, 1
Determine d, given that -2/7*d**4 - 114/7*d**3 - 58956/7 - 2890*d - 2346/7*d**2 = 0.
-17, -6
Let m be (80/70)/(-9*(-28)/(-98)) - 8/(-6). Determine s, given that -m - 2/3*s + 2/9*s**2 = 0.
-1, 4
Let f(m) = -23*m + 39504 - 39604 - 15*m - 22*m**2. Let r(o) = 7*o**2 + 13*o + 33. Let w(y) = 5*f(y) + 16*r(y). Let w(z) = 0. Calculate z.
-7, -2
Let c(u) = 26*u**2 + 758*u + 352. Let b(i) = -8*i**2 - 240*i - 118. Let f(a) = -10*b(a) - 3*c(a). Factor f(t).
2*(t + 1)*(t + 62)
Let j(t) be the first derivative of -11/2*t**2 + 3/5*t**5 - 56 + 19/3*t**3 - 13/4*t**4 + 2*t. Factor j(m).
(m - 2)*(m - 1)**2*(3*m - 1)
Suppose -3*a + 0*a = 5*w - 25, 21 = -2*w + 5*a. Let v be (w - 2 - -1)*4/1. Factor 10*s**4 - 26*s**3 - 11*s**4 + 16*s**4 - s**v + 2*s + 10*s**2.
2*s*(s - 1)**2*(7*s + 1)
Suppose b + 3 = 6*b - 3*g, 3*b = 2*g + 1. Suppose -c + 1 = -4*c + a, 0 = 3*c + b*a - 3. Factor 0*m - 1/3*m**3 + c - 2/3*m**2 + 1/3*m**4.
m**2*(m - 2)*(m + 1)/3
Factor -3522*w**2 + 1758*w**2 + 75 + 1759*w**2 - 70*w.
-5*(w - 1)*(w + 15)
Let i = 156488/33 + -4742. Let x(r) be the first derivative of 6/11*r**2 - 18/11*r - 4 - i*r**3. Determine m, given that x(m) = 0.
3
Suppose -3*j - 7*t = -6*t + 16, -3*t = 4*j + 28. Let s be 6/j - (-126)/56. Factor 0 + s*h**2 + 3/4*h**3 + 0*h.
3*h**2*(h + 1)/4
Let i = 335435 + -1677154/5. What is m in -4 + i*m - 1/5*m**2 = 0?
1, 20
Let i(j) be the first derivative of -j**4/10 + 8*j**3/5 + 13*j**2/5 + 2649. What is l in i(l) = 0?
-1, 0, 13
Let -3/2*g**3 - 88/3 - 265*g**2 - 1057/6*g = 0. What is g?
-176, -1/3
Let k(a) be the first derivative of a**6/3 - 26*a**5/5 + 11*a**4 + 154. Factor k(r).
2*r**3*(r - 11)*(r - 2)
Let m = -7743 + 7747. Factor 0 + m*p**2 + 8/3*p + 4/3*p**3.
4*p*(p + 1)*(p + 2)/3
Factor -42*f + 29*f**2 + 16*f**2 - 114694 + 114606 - f**3.
-(f - 44)*(f - 2)*(f + 1)
Let k = 482 - 394. Suppose 83*y = k*y. Determine g so that y*g - 6/5*g**4 + 3/5*g**3 + 0 + 3/5*g**5 + 0*g**2 = 0.
0, 1
Suppose 4*r - 3*r = 3*u - 19, -2*u = 5*r + 10. Let q(t) be the third derivative of 2/9*t**4 + 1/45*t**u + 0*t + 8/9*t**3 + 0 - 2*t**2. Factor q(o).
4*(o + 2)**2/3
Let m = 2 - 2. Let u(d) = -476*d + 17138. Let f be u(36). Let -12/7*c**4 + 8/7*c**3 - 20/7*c**5 + m*c**f + 0 + 0*c = 0. Calculate c.
-1, 0, 2/5
Let d be 64/24*9/6. Let k be d + (7/(-14) - (-5)/(-10)). Let -1/4*s + 1/8*s**k - 1/8*s**2 + 0 = 0. What is s?
-1, 0, 2
Let v(o) = -o - 11. Let c be v(-13). Suppose 55 = c*d + 49. Suppose -34*y**4 + 100*y**2 - 3*y**d - 20*y - 2*y**3 + 135*y**5 - 176*y**4 = 0. Calculate y.
-2/3, 0, 2/9, 1
Suppose -5*s - 2*a = -13 - 28, 2*s - 29 = -5*a. Factor 237 - 5*l**4 - 75 - 50*l**2 + 14*l**2 + s*l**4.
2*(l - 3)**2*(l + 3)**2
Let z(g) be the second derivative of -g**6/135 + g**5/10 - 7*g**4/54 - 5*g**3/3 - 28*g**2/9 - 9*g - 79. Let z(a) = 0. What is a?
-1, 4, 7
Suppose -4*z + 10 = s - 10, 3*z - s - 22 = 0. Let t(y) = -y**2 + 9*y - 11. Let w be t(z). Factor w*c**5 + 9*c**2 + 8*c**4 - 24*c**4 + 11*c**3 - 11*c**2.
c**2*(c - 1)**2*(7*c - 2)
Let d be (-104)/(-24) + 0 + (-1)/3. Suppose f = -c + 7, -5*c + 1 = -f - d. Factor l + 15*l**3 - l**2 - c*l**2 + 0*l**2 + 2 + l**4 - 16*l**3.
(l - 2)*(l - 1)*(l + 1)**2
Suppose 4*f - 14 = -3*v, -3*f + v = -2*f. Suppose 2*c - 84 = -j + 4*j, f*j + 210 = 5*c. Suppose -24*g + 24 - 72*g**2 - 15/2*g**4 - c*g**3 = 0. What is g?
-2, 2/5
Factor -186*f**2 + 188*f**2 - 64*f - 420 + 117 - 153.
2*(f - 38)*(f + 6)
Let f = 880 - 880. Let d(i) be the third derivative of 1/15*i**4 + 20*i**2 + 0*i - 1/150*i**5 + 0 + f*i**3. Solve d(p) = 0 for p.
0, 4
Let h(j) = 67*j + 19*j**2 - 60*j + 2*j**2 + j**3 - 2*j**3 - 7. Let a be h(9). Factor a*p**2 + 1 + 4 - 1033*p**2.
-5*(p - 1)*(p + 1)
Let l = 24045 - 24039. Let d(g) be the third derivative of 13/360*g**5 + 3*g**2 - 23/144*g**4 + 0 + 11/36*g**3 + 12*g - 1/720*g**l. Solve d(t) = 0.
1, 11
Let a(i) be the first derivative of i**6/210 + i**5/70 - i**4/28 - 129*i - 144. Let x(w) be the first derivative of a(w). Determine h, given that x(h) = 0.
-3, 0, 1
Let d be (4 - 176/56)/((-1)/(-7)). Let p = 10 - d. Find f, given that 2 + 2*f**3 - 2*f**5 + 3*f**4 + 4*f**2 - f - 5*f**p + f**5 - 4 = 0.
-2, -1, 1
Let d(g) be the third derivative of 44/21*g**4 + 0 - 83*g**2 + 2*g + 2/735*g**7 + 58/21*g**3 + 16/105*g**6 + 6/7*g**5. Factor d(h).
4*(h + 1)**3*(h + 29)/7
Let y(i) be the second derivative of i**6/180 - i**5/36 + i**4/18 + 5*i**3/2 - i**2 + 13*i - 2. Let w(s) be the second derivative of y(s). Factor w(j).
2*(j - 1)*(3*j - 2)/3
Let l = 31 + -23. Suppose 0 = -15*p + l*p - 35. Let u(f) = -f**4 - 10*f**3 + 2*f + 1. Let c(y) = y**3. Let q(s) = p*u(s) - 40*c(s). Suppose q(b) = 0. What is b?
-1, 1
Let r = 8091 - 1577744/195. Let m(k) be the second derivative of r*k**6 - 3/65*k**5 - 4/39*k**3 + 3/26*k**4 + 0 + 0*k**2 - 5*k. Factor m(x).
2*x*(x - 4)*(x - 1)**2/13
Suppose 3*a = 4*l - 14, 0 = -41*l + 39*l - 2*a. Suppose -1 - 278*k**5 + 1 + 15*k**4 - 60*k**l + 281*k**5 - 48*k = 0. Calculate k.
-4, -2, -1, 0, 2
Suppose -6*m + 4 = -8. Find r such that -3*r + 2*r - 5*r**m + 8*r**2 - 8*r = 0.
0, 3
Let i(j) be the second derivative of -1/12*j**4 - 3 - 9*j**3 - 53/2*j**2 - j. Suppose i(n) = 0. Calculate n.
-53, -1
Factor -1/11*q**2 + 30/11 - 7/11*q.
-(q - 3)*(q + 10)/11
Suppose 5*j - 19 = 29*l - 28*l, 4*l = 2*j - 4. Determine k, given that j*k**2 + 46/5*k + 24/5 - 2/5*k**3 = 0.
-1, 12
Suppose 37 = -5*t - 4*x, 3*x = -0*t + 4*t + 11. Let z(y) = -y**2 - 5*y + 3. Let m be z(t). Let u**2 - u**m - 416 + 416 = 0. What is u?
0, 1
Let m be (-6)/8*2240/(-420). Let a(p) be the third derivative of 0*p + 0 + 5/12*p**m + 1/126*p**7 + 27*p**2 - 25/18*p**3 + 1/9*p**5 - 1/12*p**6. Factor a(r).
5*(r - 5)*(r - 1)**2*(r + 1)/3
Let a(d) be the first derivative of 2*d**3/39 + 159*d**2/13 - 1304*d/13 - 3662. Factor a(r).
2*(r - 4)*(r + 163)/13
Let o(j) be the third derivative of 0*j + 17/60*j**5 + 1/2*j**3 - 2/3*j**4 + 0 + 52*j**2 - 1/30*j**6. Factor o(s).
-(s - 3)*(s - 1)*(4*s - 1)
Let r(p) be the third derivative of p**2 - 1/6*p**3 + 5 + 0*p + 7/18*p**4 - 13/36*p**5. What is j in r(j) = 0?
1/5, 3/13
Let s = -273 + -98. Let i = 392 + s. Find y, given that i*y + 15/2 - 3/2*y**4 + 18*y**2 + 3*y**3 = 0.
-1, 5
Suppose -13/2*q**4 + 2*q**2 - 4*q + 3/2*q**5 + 7*q**3 + 0 = 0. What is q?
-2/3, 0, 1, 2
Let t = -5408944/5 + 1081790. Suppose 12/5*v**2 + 3/5*v**3 + t + 3*v = 0. What is v?
-2, -1
Let l(s) be the second derivative of -1/80*s**5 - 6*s + 3/8*s**3 + 1/240*s**6 - 9/16*s**2 + 5 - 1/12*s**4. Suppose l(z) = 0. What is z?
-3, 1, 3
Let c = 125826 + -251651/2. Suppose 1 - 1/2*i**3 + c*i - i**2 = 0. What is i?
-2, -1, 1
Let d(p) be the first derivative of -3*p**5/20 - 231*p**4/16 + 237*p**3/4 - 717*p**2/8 + 60*p - 6957. Factor d(w).
-3*(w - 1)**3*(w + 80)/4
Let o(s) = 10*s**3 - 1080*s**2 - 2175*s - 1091. Let v(w) = -92*w**3 + 9720*w**2 + 19576*w + 9820. Let t(l) = -28*o(l) - 3*v(l). Find f, given that t(f) = 0.
-1, 272
Let d(c) be the second derivative of c**6/15 - 149*c**5/10 + 49*c**4/2 + 149*c**3/3 - 148*c**2 - 2*c - 451. Suppose d(l) = 0. Calculate l.
-1, 1, 148
Factor -76/7*l**2 + 0 + 34/7*l**3 + 2/7*l**4 + 0*l.
2*l**2*(l - 2)*(l + 19)/7
Suppose 7*i - 20 - 1 = 0. Suppose -3*y + 2*y**2 - 4*y + 9*y - 2*y**i + 4 - 6*y**2 = 0. What is y?
-2, -1, 1
Factor -316*t + 7*t**3 + 9*t**3 + 28*t**3 - 863*t + 315*t + 24*t**2 - 4*t**4.
-4*t*(t - 9)*(t - 6)*(t + 4)
Factor -53000/7*v + 8/7 + 87781250/7*v**2.
2*(6625*v - 2)**2/7
Let t = 519 + -517. Suppose 0 = -t*d + 2*w - 33 + 35, -5*d - 5*w + 45 = 0. Factor 32/21*p + 64/21*p**2 + 0 + 16/7*p**3 + 16/21*p**4 + 2/21*p**d.
2*p*(p + 2)**4/21
Let n = -2185/11 - -76519/385. Let t(m) be the first derivative of 11/7*m**4 + 8*m**3 + 42 + 136/7*m**2 + n*m**5 + 160/7*m. Factor t(x).
4*(x + 2)**3*(x + 5)/7
Let f be (-12)/48 - 18/(-8).