Let h be 5/(25/1)*12. Let z(c) = c**3 + 12*c**2 + 18*c - 117. Let m be z(-7). Factor h*l + 12/5 + 3/5*l**m.
3*(l + 2)**2/5
Let x(k) be the second derivative of k**4/12 + 373*k**3/6 + 186*k**2 + 294*k - 2. Suppose x(y) = 0. What is y?
-372, -1
Let j be 28 - (4305/70 - 75). Determine w so that -3/2*w**5 - j*w**3 + 50*w - 16 + 17*w**4 + 6*w**2 = 0.
-1, 1/3, 2, 8
Let t = -380486 + 380488. Let 2/3*g**2 - 2/3*g**5 - 2/3*g**4 + 0 + t*g**3 - 4/3*g = 0. Calculate g.
-2, -1, 0, 1
Let k(g) = -3*g + 103 + 0*g - 9 + 4 - 5. Let m be k(30). Suppose -48/5*c**2 - 32/5 + 32*c**m - 128/5*c - 10*c**4 = 0. Calculate c.
-2/5, 2
Let z(y) = 30*y**2 + 62*y + 6. Let d be z(-2). Factor 1/2*p**d + 9/2*p + 4.
(p + 1)*(p + 8)/2
Let z be (-8*12/(-80))/((-3)/(-5)). What is d in -45*d**4 - 234*d**3 - 115*d**2 + 133*d**3 - 210*d**z - 30 - 175*d - 124*d**3 = 0?
-3, -1, -2/3, -1/3
Let -52/9 + 62/9*b**2 - 14*b - 10/9*b**4 + 14*b**3 = 0. Calculate b.
-1, -2/5, 1, 13
Suppose -w + 5 = 3. Let a be -2 + w - -1082 - (-1)/1. Let 4*c**3 + 1078*c**4 - 20*c + 5*c**2 + 16*c**3 - a*c**4 = 0. Calculate c.
-1, 0, 1, 4
Let o(j) = j**2 + 11*j + 2. Let m = 877 + -888. Let l be o(m). Factor 0 - l*k**2 - 1/3*k.
-k*(6*k + 1)/3
Let u(c) = -c**2 + c + 1. Let i be 0 + (0 - -1 - -1). Let y(j) = j**3 + j**3 - 6*j - 12*j**i - 5*j**3 + 0*j. Let a(v) = -3*u(v) + y(v). Factor a(m).
-3*(m + 1)**3
Suppose -2*z + 4186 - 4210 = -2*v, 4*v - 3*z = 38. Factor 0 - 3/2*j**3 - 3*j**v + 9/2*j.
-3*j*(j - 1)*(j + 3)/2
Let z(v) be the first derivative of 4*v**6/27 + 26*v**5/15 + 67*v**4/9 + 40*v**3/3 + 6*v**2 - 6*v - 75. Let z(k) = 0. Calculate k.
-3, -1, 1/4
Let v = -840 - -838. Let d be 15/60 - ((-38)/(-24) + v). Solve -m - 1/3*m**2 - d = 0 for m.
-2, -1
Let d(k) = 13*k + 55. Let r be d(-4). Suppose -5*z - 235 = -52*z. Determine c so that -4/7*c**z + 4*c**2 - 12/7*c**4 - 16/7 + 4/7*c**r + 0*c = 0.
-2, -1, 1
Let t(a) be the second derivative of a**7/273 + 14*a**6/195 + a**5/10 - 2668*a. Factor t(y).
2*y**3*(y + 1)*(y + 13)/13
Suppose 0 = -485*z - 464*z + 974*z - 50. Factor -z*y**3 + 0 + 8*y - 192/7*y**2.
-2*y*(y + 14)*(7*y - 2)/7
Let s(v) be the second derivative of 3*v**7/14 + 278*v**6/5 + 75033*v**5/20 - 34687*v**4/2 + 30738*v**3 - 26508*v**2 + 422*v. Solve s(p) = 0.
-94, 2/3, 1
Let x = 86056 - 258167/3. Determine c so that -2/3*c**2 + x*c**3 + 0 - c = 0.
-1, 0, 3
Factor -3*p**3 - 270*p**2 - 4*p**3 + 23201 + 5365 - 8694*p + 5*p**3.
-2*(p - 3)*(p + 69)**2
Suppose -2*v + m = -112 + 116, -v + m = 4. Let a(o) be the second derivative of 27/20*o**5 - 2*o**3 - 2*o + 0 + v*o**2 + 3*o**4 - 7/10*o**6. Factor a(z).
-3*z*(z - 2)*(z + 1)*(7*z - 2)
Suppose 11 - 4 = m - 0. Let o(k) be the first derivative of -m + 7/40*k**4 - 1/3*k**3 + 0*k + 3/20*k**2. Let o(s) = 0. Calculate s.
0, 3/7, 1
Let c(z) = 45 + 31*z - 10*z - 4*z - 11*z. Let k be c(-7). What is s in -k + 24*s**3 - 3*s**3 - 27*s**2 - 6*s**4 + 6*s + 3*s + 6*s = 0?
1/2, 1
Let i be 14450/1900 + (-50)/475. Solve -25/4*j + i - 5*j**2 = 0 for j.
-2, 3/4
Let v(a) be the first derivative of a**7/273 - a**5/26 + 4*a**3/39 - 42*a - 29. Let d(j) be the first derivative of v(j). Determine o, given that d(o) = 0.
-2, -1, 0, 1, 2
Let d = -145 - -149. Factor -558 + 278 - 3*p - p**d + 3*p**3 + 282 - p**2.
-(p - 2)*(p - 1)**2*(p + 1)
Let c = -6307/30 + 1217/5. Let r = 101/3 - c. Determine h so that -1/2 + 3/2*h - 3/2*h**2 + r*h**3 = 0.
1
Suppose -29*y = 26*y - 0*y. Let b(j) be the third derivative of y - 1/45*j**5 - 1/180*j**6 + 0*j + 0*j**3 + 0*j**4 - 2*j**2. Factor b(d).
-2*d**2*(d + 2)/3
Suppose -81 = 830*q - 839*q. Let a be 4 + -5 + q - 5. Let a*p + 6/5*p**2 + 8/5 - 1/5*p**3 = 0. What is p?
-1, 8
Let x = 640072 - 1280099/2. Suppose 0 - 3/2*o**2 - x*o = 0. Calculate o.
-15, 0
Suppose 0 = -2*s - 5 + 9. Suppose -s*o - x = -88, -17 - 30 = -o + x. Factor 5*t**2 - 124*t + 49*t + o*t.
5*t*(t - 6)
Let i(w) = -8*w + 160. Let d be i(19). Suppose 4*j - 4 = d. Suppose -12/7*z + 12/7 - 3/7*z**2 + 3/7*z**j = 0. Calculate z.
-2, 1, 2
Let w(b) = b**3 - 39*b**2 + 74*b + 3. Let t be w(37). Let v(p) be the first derivative of 0*p + 1/2*p**2 + 1/3*p**t - 30. What is g in v(g) = 0?
-1, 0
Suppose 2*a + 532 = -4*u + 1692, -u + 3447 = 6*a. Let w = -572 + a. Factor 165/8*l**w + 1/2 + 121/8*l**3 + 6*l.
(l + 1)*(11*l + 2)**2/8
Solve 197*w + 4*w**4 + 276*w + 568*w + 328*w**3 - 1012*w**2 - 361*w = 0.
-85, 0, 1, 2
Let a(d) be the second derivative of -3*d**6/20 - 87*d**5/16 - 3*d**4/2 + 535*d + 8. Factor a(r).
-3*r**2*(r + 24)*(6*r + 1)/4
Suppose -4*l + d + 25 = 4*d, 4*d - 12 = 0. Factor -32 - 259*r - r**5 + 141*r - 13*r**3 + 28*r**2 - 10*r**l + 146*r.
-(r - 1)**2*(r + 2)**2*(r + 8)
Let j(w) be the third derivative of 1/84*w**8 + 2/105*w**7 - 1/10*w**6 - 1/3*w**5 - 1/3*w**4 + 0 + 42*w**2 + 0*w**3 + 0*w. Factor j(n).
4*n*(n - 2)*(n + 1)**3
Let l(v) = -10*v**2 - 458*v - 1452. Let s(n) = -9*n**2 - 457*n - 1430. Let z(k) = 5*l(k) - 6*s(k). Let z(g) = 0. Calculate g.
-110, -3
Let h(c) = -25*c**2 - 5*c - 190. Let k(x) = -31*x**2 - 7*x - 186. Let a(g) = -6*h(g) + 5*k(g). Find r such that a(r) = 0.
-7, 6
Let m(b) be the first derivative of b**6/2 - 3*b**5/5 - 27*b**4/4 + 13*b**3 + 12*b**2 - 36*b - 2275. Find d such that m(d) = 0.
-3, -1, 1, 2
Let f = 145076 + -731424/5. Let c = f + 1210. Factor -c - 1/5*h**2 + h.
-(h - 3)*(h - 2)/5
What is b in -29 - 73 + 28*b**3 + 1812*b - 4 - 63 - 111 + 1032*b**2 = 0?
-35, -2, 1/7
Let v(n) = -12*n**2 + 288*n - 258. Let g(q) = q**2 - q - 2. Let y(h) = 9*g(h) + v(h). Factor y(r).
-3*(r - 92)*(r - 1)
Suppose 30 - 15/2*y**4 + 45/2*y**2 - 5/4*y**5 + 55*y - 35/4*y**3 = 0. What is y?
-3, -2, -1, 2
Let p(x) = -x**3 + 8*x**2 - 7*x + 2. Let n be (-26)/(-4) - (-13 + (-225)/(-18)). Let b be p(n). Factor -22/9*k**4 - 2/9*k**b - 2*k**3 - 8/9*k**5 + 2/9*k + 0.
-2*k*(k + 1)**3*(4*k - 1)/9
Let r(s) be the second derivative of -3*s**5/130 + 25*s**4/39 - 31*s**3/39 - 16*s**2/13 + 3913*s. Solve r(q) = 0.
-1/3, 1, 16
Let q = -623123/83650 + 1878/239. Let b = q + 1/50. What is o in 0 - b*o**2 - 9/7*o**3 + 6/7*o + 3/7*o**4 + 3/7*o**5 = 0?
-2, -1, 0, 1
Let z(p) = p**3 + 87*p**2 + 78*p - 172. Let u(k) = -87*k**2 - 78*k + 174. Let v(t) = -2*u(t) - 3*z(t). Factor v(n).
-3*(n - 1)*(n + 2)*(n + 28)
Let p = -211 - -216. Determine m so that 21*m**5 + 6*m**3 + 6*m**4 - 6*m**p + 7*m - 51*m**3 + 12*m**2 + 5*m = 0.
-2, -2/5, 0, 1
Let f(t) be the first derivative of 9/2*t**2 + 29/2*t**3 + 0*t + 141 - 15/8*t**4. Factor f(u).
-3*u*(u - 6)*(5*u + 1)/2
Suppose -47 = -28*z + 26*z + 5*t, -3*z - 4*t - 10 = 0. Factor -3/4*s**2 - z + 27/4*s.
-3*(s - 8)*(s - 1)/4
Let y(m) = -5*m + 7. Let s be y(5). Let k = 18 + s. Solve 6*w**2 + 2*w**3 - 12*w + 4 - 20 + k*w**3 = 0 for w.
-4, -1, 2
Let p(d) be the second derivative of d**6/60 - 17*d**5/80 - 11*d**4/8 + 125*d**3/24 - 11*d**2/2 + 140*d + 2. Let p(m) = 0. What is m?
-4, 1/2, 1, 11
Let u be (-149520)/30260*34/(-22). Suppose u*p**2 + 42/11*p - 12/11 + 30/11*p**3 = 0. Calculate p.
-2, -1, 1/5
Let b(q) be the third derivative of -q**7/315 - 11*q**6/90 - 137*q**5/90 - 35*q**4/9 + 100*q**3/3 + 4*q**2 - 69. Find z such that b(z) = 0.
-10, -3, 1
Let n(l) = -4*l**2 + 35*l + 408. Let i be n(-9). Let y be (i/(-60) - 18/(-24)) + -1. Solve -y*r**2 - 36/5*r - 24/5 - 3/5*r**3 = 0.
-2
Let v(b) be the second derivative of 49*b**4 + 0*b**2 + 0*b**3 + 22 + 21/5*b**5 + b + 1/10*b**6. Solve v(j) = 0 for j.
-14, 0
Let j(a) be the second derivative of 0 + 2/3*a**3 + 0*a**2 + 1/3*a**4 - 49*a. Factor j(h).
4*h*(h + 1)
Factor -37*r - 258/7 - 1/7*r**2.
-(r + 1)*(r + 258)/7
Let y(r) be the third derivative of r**7/420 + r**6/30 + 3*r**5/20 + r**4/3 + 119*r**3/6 - 2*r**2 + r. Let b(x) be the first derivative of y(x). Factor b(q).
2*(q + 1)**2*(q + 4)
Let d(x) = 89*x**4 - 253*x**3 - 879*x**2 - 34*x - 51. Let u(l) = -11*l**4 + 32*l**3 + 110*l**2 + 4*l + 6. Let t(y) = 6*d(y) + 51*u(y). Factor t(g).
-3*g**2*(g + 2)*(9*g - 56)
Let f(v) be the third derivative of -v**5/15 - 590*v**4/3 - 696200*v**3/3 - 5899*v**2. Determine c so that f(c) = 0.
-590
Let 53*b**4 - 2862*b**2 + 2701/2*b**3 + 1/2*b**5 + 0 + 1458*b = 0. What is b?
-54, 0, 1
Factor -2757*m - 78*m**2 + 237*m**2 + 7173*m - 94*m**2 - 69*m**2 - 1218816.
-4*(m - 552)**2
Let a be (-91)/(-2639) + (-2)/58. Let d(f) be the first derivative of -5/3*f**3 + 0*f - 1 + a*f