Suppose 14*y**3 - 5*y**d - 4*y**3 + 60 + 0*y**3 - 40*y - 5*y**3 = 0. Calculate y.
-3, 2
Factor 0 + 2/9*k**4 - 32/9*k**3 + 2*k**2 + 20*k.
2*k*(k - 15)*(k - 3)*(k + 2)/9
Let v be 6 + 1 + ((-129)/258)/(2/26). Let z(n) be the second derivative of -1/24*n**4 + 0 - 1/4*n**3 - v*n**2 + 11*n. Suppose z(a) = 0. Calculate a.
-2, -1
Let c(q) = 3*q**2 + 356*q + 2966. Let i be c(-9). Solve -19/5*j**3 - 8/5*j**4 + 16/5 + 4*j - 1/5*j**i - 8/5*j**2 = 0 for j.
-4, -2, -1, 1
Let y(h) be the first derivative of -21 - 1/2*h + 17/16*h**4 - 3*h**3 + 21/8*h**2. Solve y(m) = 0.
2/17, 1
Factor -2/5*x**2 + 446/5*x - 436.
-2*(x - 218)*(x - 5)/5
Solve 675*k + 1425/4*k**2 + 375 - 3/4*k**5 + 219/4*k**3 - 9/4*k**4 = 0.
-5, -2, -1, 10
Let y = -37256 + 101597110/2727. Let k = y + 98182/13635. Determine f so that -k*f**3 - 64/5*f**2 - 12/5 - 46/5*f + 2/5*f**5 - 4/5*f**4 = 0.
-1, 6
Let m = 43 - 41. Suppose m*r = 4*b - 30, b - 5*r = 2*b - 35. Let d(j) = -9*j**2 - 25*j. Let y(f) = 4*f**2 + 12*f. Let n(o) = b*y(o) + 4*d(o). Factor n(z).
4*z*(z + 5)
Let h(s) = -4*s**2 + 15*s + 80. Let w be h(-5). Let t = -93 - w. What is r in 3/4*r - 3/4*r**t + 3/2 = 0?
-1, 2
Let s = -42 + 51. Suppose j + s*j - 20 = 0. Factor x**3 - x**3 - 5*x**j - 2*x**3 + 10*x - 3*x**3.
-5*x*(x - 1)*(x + 2)
Factor -128/11*i**2 - 2/11*i**3 + 0 + 402/11*i.
-2*i*(i - 3)*(i + 67)/11
Let o(s) be the third derivative of s**7/1050 - s**6/20 + 133*s**5/300 - 17*s**4/10 + 10*s**3/3 - 2586*s**2. Factor o(p).
(p - 25)*(p - 2)**2*(p - 1)/5
Let g(h) be the third derivative of h**5/30 + 97*h**4/3 + 772*h**3/3 - 14436*h**2. Factor g(i).
2*(i + 2)*(i + 386)
Let 14/3*m**4 + 32/3*m**3 + 0 - 4*m - 34/3*m**2 = 0. What is m?
-3, -2/7, 0, 1
Suppose -2*n + 94 = 5*c - 206, 0 = 4*n. Let l be 6/5*c/36. Factor -o**3 + 0*o**3 - 12*o**l - 18*o**2 - 4*o**3 - 25*o.
-5*o*(o + 1)*(o + 5)
Let p(c) = 3*c**2 + 280*c - 1064. Let v be p(-97). Factor 0 + 13/2*b**2 - 7/2*b - 1/2*b**4 - 5/2*b**v.
-b*(b - 1)**2*(b + 7)/2
Let j(g) be the third derivative of 128 + 0*g + 2*g**2 + 1/360*g**5 - 23/72*g**4 + 529/36*g**3. Factor j(l).
(l - 23)**2/6
Let s = 7/79664 + 364701715/876304. Let a = s - 416. Factor a*f**2 + 2/11 - 4/11*f.
2*(f - 1)**2/11
Let m(k) be the second derivative of 0*k**6 + 0*k**3 + 0*k**2 - 3/100*k**5 + 2 + 1/30*k**4 + 1/210*k**7 - 4*k. Factor m(d).
d**2*(d - 1)**2*(d + 2)/5
Let u(z) = -4*z**3 - 18*z**2 + 103. Let k(s) = 21 + 25 + 12 + 23 - 47 - 6*s**2 - s**3. Let n(p) = 14*k(p) - 4*u(p). What is l in n(l) = 0?
-2, 4
Suppose -3*d = -33*d + 180. Determine c so that -18*c**3 + 232*c**5 + 12*c**2 + d*c**4 - 229*c**5 - 3*c**3 = 0.
-4, 0, 1
Suppose 5*i - 7*i = -4*h + 1308, -1638 = -5*h + 4*i. Let q = -324 + h. Find l, given that -5/4 + 1/4*l**q - l = 0.
-1, 5
Let v = 1/2426 - -75203/7278. Factor -v*q + 2/3 + 29/3*q**2.
(q - 1)*(29*q - 2)/3
Let w(u) be the second derivative of -3*u**5/20 + 225*u**4 + 1806*u**3 + 5424*u**2 + 6393*u. Factor w(t).
-3*(t - 904)*(t + 2)**2
Let k = 149 - 149. Suppose 4*s - 8*s + 8 = k. Suppose 5 + 5*q**s - 6*q - 2*q**2 - 2*q**2 = 0. Calculate q.
1, 5
Let c(g) be the second derivative of 25*g**4/12 - 55*g**3 + 1089*g**2/2 + 735*g. Suppose c(o) = 0. What is o?
33/5
Let p(t) be the third derivative of t**5/180 - 41*t**4/9 + 13448*t**3/9 - 9023*t**2. Factor p(w).
(w - 164)**2/3
Let d = -564508 + 564510. Factor -1/2*m**4 - 5/2*m**3 - 3*m**d + 2*m + 4.
-(m - 1)*(m + 2)**3/2
Let v be ((-8)/10)/(122/(-40) + 3). Suppose -v + 17*w**4 + 25*w**2 + 18*w**4 + 47*w**3 - 44 + 5*w**5 - 80*w + 28*w**3 = 0. What is w?
-3, -2, -1, 1
Let v(w) be the first derivative of 2*w**5/15 - 16*w**4/3 + 170*w**3/3 - 2192. Factor v(m).
2*m**2*(m - 17)*(m - 15)/3
Let c(m) = 16*m**4 + 142*m**3 + 362*m**2 + 254*m. Let u(j) = 14*j**4 + 141*j**3 + 365*j**2 + 253*j. Let r(o) = 5*c(o) - 6*u(o). Factor r(b).
-4*b*(b + 1)*(b + 2)*(b + 31)
Suppose 780/7 - 3/7*m**3 + 18/7*m**2 + 801/7*m = 0. Calculate m.
-13, -1, 20
Let p(m) be the third derivative of m**6/960 - 1121*m**5/480 + 9835*m**4/6 - 19600*m**3/3 + 451*m**2. Factor p(r).
(r - 560)**2*(r - 1)/8
Suppose 2073 = 98*t + 1779. Factor -6*g**2 - 6/5*g**4 + 12/5*g + 0 + 24/5*g**t.
-6*g*(g - 2)*(g - 1)**2/5
Let c be 6*((-6)/12 + 0)*-1. Suppose 2*h - c*y - 6 = 0, h + 3*y + 6 = 6*h. What is i in -1/3*i**4 + 1/3*i**5 - i**3 + 5/3*i**2 + h - 2/3*i = 0?
-2, 0, 1
Let v be (-2)/6 - -5 - (-1)/3. Let l(j) = 3*j - 13. Let s be l(v). Factor 64*y**2 + 12*y - 8 - 66*y**s - 4*y.
-2*(y - 2)**2
Let h = 48 - -5. Let u = 57 - h. Factor -10*a**u - 11*a**4 + 3*a**4 - 34*a**3 - 6*a + 3*a**4 + 31*a**2.
-a*(a + 3)*(3*a - 1)*(5*a - 2)
Let p(h) = h + 30. Let g be p(-16). Let s be (8/g)/((-15)/(-42)). Determine m so that -2/5*m**2 + 6/5*m + s = 0.
-1, 4
Let n(h) = 4*h**2 - 4*h**2 + 3 + 10*h**2 - 6*h + 2 - 18*h**3 + 9*h**3. Let u(r) = -2*r**3 + r**2 + 1. Let d(o) = n(o) - 5*u(o). Factor d(s).
s*(s - 1)*(s + 6)
Suppose 397 = 10*p - 253. What is o in 561*o + p*o**2 - 1087*o + 2*o**3 + 636*o + 3*o**3 = 0?
-11, -2, 0
Let l = 305 - 76. Let -2*a**2 - 2*a**3 + l + 2*a + 2*a**4 - 229 = 0. Calculate a.
-1, 0, 1
Let o(c) be the first derivative of -c**3 + 54*c**2 - 297*c + 1138. Determine q so that o(q) = 0.
3, 33
Factor 30*y**4 + 1 + 182*y**5 - 32*y**3 + 183*y**5 - 1 - 363*y**5.
2*y**3*(y - 1)*(y + 16)
Let j(r) be the second derivative of -3/40*r**5 - r + 21 - 3/2*r**3 + 7/8*r**4 + 0*r**2. Determine z, given that j(z) = 0.
0, 1, 6
Let i(d) be the second derivative of d**6/360 - d**5/40 - 5*d**4/12 - d**3/3 + 70*d**2 - 6*d + 9. Let r(k) be the second derivative of i(k). Solve r(o) = 0.
-2, 5
Let a(g) be the third derivative of -g**8/672 + g**7/210 - g**5/60 + g**4/48 - g**2 + 750. What is t in a(t) = 0?
-1, 0, 1
Let n(o) = -o**5 + o**4 + o**2 + 2. Let x(y) = -5*y**5 - 23*y**4 - 12*y**3 + y**2 + 4*y - 6. Let a(q) = 3*n(q) + x(q). Suppose a(s) = 0. What is s?
-1, 0, 1/2
Let b = -52 - -56. Let d be 118/b + (-1)/2. Determine o so that -o**2 - 24*o - 38*o**3 + 50*o**3 + d*o**2 = 0.
-3, 0, 2/3
Let v(n) be the second derivative of n**6/20 - 189*n**5/40 + 29*n**4/4 + 63*n**3 - 186*n**2 - 6901*n. Solve v(j) = 0.
-2, 1, 2, 62
Let t(f) be the third derivative of -3/64*f**4 + 0 + 2*f + 1/210*f**7 - 21*f**2 - 11/480*f**6 + 0*f**3 + 1/20*f**5 - 1/2688*f**8. Factor t(v).
-v*(v - 3)**2*(v - 1)**2/8
Let f be 2/(-7) + (-32)/(-14). Let m be 1840/(-240) - 3 - -22*3/6. Solve -m*p**f - 1/3*p + 1/3*p**4 + 0 + 1/3*p**3 = 0.
-1, 0, 1
Let r(b) = -24*b**2 + 216*b + 6. Let g be r(9). Let -g*c**5 + 14*c**4 + 53915*c + 2*c**2 - 53915*c - 10*c**3 = 0. What is c?
0, 1/3, 1
Factor -19 - 10 + 20*s**2 - 51 - 28*s - 9*s**2 - 13*s**2.
-2*(s + 4)*(s + 10)
Find b such that -3/7*b**2 - 3378/7*b - 950907/7 = 0.
-563
Let k(s) = -s**4 - s**3 + 2*s**2 - s - 3. Let b(a) = 3*a**4 - 31*a**3 + 347*a**2 - 1065*a - 1446. Let v(f) = -3*b(f) - 6*k(f). Solve v(c) = 0 for c.
-1, 11, 12
Let m(w) = 4*w. Let t be m(1). Suppose -20*j = -5 - 295. Factor -y**5 + 6*y**2 - 12*y**2 + t*y**5 + j*y**3 - 12*y**4.
3*y**2*(y - 2)*(y - 1)**2
Factor 6/7*y**2 + 99/7 - 75/7*y.
3*(y - 11)*(2*y - 3)/7
Let k(s) be the third derivative of s**5/20 - 353*s**4/2 + 249218*s**3 + 100*s**2 + 2*s + 19. Factor k(w).
3*(w - 706)**2
Let m be (36 + 9 - 10) + -3. Let z(g) be the first derivative of 22 + m*g**2 + 104/3*g**3 + 12*g + 12/5*g**5 + 16*g**4. Factor z(s).
4*(s + 1)**2*(s + 3)*(3*s + 1)
Let c(v) be the second derivative of v**4/30 - 34*v**3/15 + 64*v**2/5 - 7*v + 192. Suppose c(f) = 0. What is f?
2, 32
Suppose -15*z + 34 = 19*z. Suppose 17*u - 19*u = -k - z, 1 = -4*u + 3*k. Factor 0 + 4/5*y**4 - 36/5*y - 28/5*y**3 + 12*y**u.
4*y*(y - 3)**2*(y - 1)/5
Let o(p) be the second derivative of p**5/80 + 497*p**4/48 + 7750*p**3/3 + 7688*p**2 + 33*p + 27. Solve o(h) = 0.
-248, -1
Let z = -3293107/12 - -1097713/4. Suppose -1/3 + 2*c**2 + c**4 + 0*c + z*c**3 = 0. What is c?
-1, 1/3
Factor 1200 + 3/2*o**2 - 135*o.
3*(o - 80)*(o - 10)/2
Let z be ((20/(-9))/((-80)/120))/(100/75). Let 8*i - 32/3 + z*i**2 + 1/6*i**3 = 0. Calculate i.
-8, 1
Let c = -392771/2 - -196393. Find j such that -c*j - 225/2 - 1/8*j**2 = 0.
-30
Suppose -151*c + 182*c - 93 = 0. Let m(n) be the second derivative of n + 0*n**c + 0 - 1/5*n**5 - 1/15*n**6 + 0*n**2 - 1/6*n**4. Factor m(q).
-2*q**2*(q + 1)**2
Let l(t) be the second derivative of -3/20*t**5 - 15/2*t**3 + 75/2*