l - 1)/7
Let -2344775 - 155307 - y**2 - 3648*y - 1629938 + 803044 = 0. What is y?
-1824
Let h(k) = 46*k - 37. Let x be h(1). Solve -2 - x*d - 415*d**3 - 6*d**2 + 830*d**3 - 412*d**3 + 2 = 0 for d.
-1, 0, 3
Let i(k) = -k + 9. Let t be i(7). Suppose t*m - 1 = m, -p = 5*m - 7. Determine x, given that 83*x**p - 3*x - 13*x - 71*x**2 + 4*x**3 = 0.
-4, 0, 1
Suppose -d + 2*o = -469, 8*d + 2*o - 461 = 7*d. Let g = 2329/5 - d. Solve -g*b**3 + 2/5*b**5 + 24/5*b**2 + 0 + 18/5*b - 8/5*b**4 = 0 for b.
-1, 0, 3
Let t be 9/10*10/6. Let k = 72371 - 72371. Solve 0 + 0*c**2 - t*c**5 + 15/2*c**4 - 9*c**3 + k*c = 0 for c.
0, 2, 3
Suppose -4 = -15*g - 3 + 29. Let b(q) be the second derivative of 0 + 0*q**g + 12*q + 5/6*q**3 + 5/12*q**4. Factor b(d).
5*d*(d + 1)
Suppose 517 - 4399 = -3*b + v, 3*b - 3*v = 3876. Find t such that -33*t**2 + 18*t - 1324*t**3 + b*t**3 - 10*t**5 + 45*t**4 + 8 + t**5 = 0.
-2/3, -1/3, 1, 4
Let x(s) be the second derivative of s**7/28 + s**6/20 - 21*s**5/40 - 13*s**4/8 - 3*s**3/2 - 564*s - 1. Find q, given that x(q) = 0.
-2, -1, 0, 3
Suppose -62 = 2*f + 50. Let b be f/(-49)*14/4. Find g such that -2*g**b - 2*g**2 + 6*g**4 + g**2 - 3*g**2 = 0.
-1, 0, 1
Let h(w) be the second derivative of 3*w**5/25 - 29*w**4/30 - 2*w**3/5 + w**2 - 1177*w. Let h(a) = 0. Calculate a.
-1/2, 1/3, 5
Let k(w) = -2*w**5 + 42*w**4 - 272*w**3 + 314*w**2 + 2612*w - 6196. Let n(d) = d**2 + 2*d - 2. Let g(z) = -2*k(z) + 52*n(z). Let g(i) = 0. Calculate i.
-3, 4, 8
Let s(r) be the third derivative of r**6/1080 + r**5/36 + 11*r**4/54 - 210*r**2 + 2*r + 1. Suppose s(i) = 0. What is i?
-11, -4, 0
Let n(w) be the first derivative of -w**4/32 + 51*w**3/8 - 7803*w**2/16 + 132651*w/8 + 734. Suppose n(f) = 0. Calculate f.
51
Let h(z) = -6*z + 8. Suppose -23*r + 21*r - 4 = 0. Let i(x) = 5*x - 4*x**2 + 0 + 5*x**2 - 8. Let f(j) = r*i(j) - 3*h(j). Factor f(d).
-2*(d - 2)**2
Let u = -856067 + 856083. What is s in 0 - 12*s + u*s**2 + 1/3*s**4 - 13/3*s**3 = 0?
0, 1, 6
Factor 0 + 0*h**2 - 1/3*h**3 + 1/3*h.
-h*(h - 1)*(h + 1)/3
Let z(y) be the third derivative of y**8/2856 + 6*y**7/595 + 59*y**6/1020 + 19*y**5/255 - 5*y**4/17 - 56*y**3/51 + y**2 + 799. Let z(c) = 0. Calculate c.
-14, -2, -1, 1
Let l(g) be the first derivative of -14*g**5/45 + 59*g**4/18 - 38*g**3/3 + 21*g**2 - 12*g + 454. Suppose l(p) = 0. Calculate p.
3/7, 2, 3
Let r(f) be the first derivative of 5*f**3 - 59 - 75/2*f**2 + 125*f - 1/4*f**4. Factor r(v).
-(v - 5)**3
Let z be (10*(-6)/(-50))/(4/10). Suppose -2*o + 5*l - 16 = -5, -2*l = z*o - 12. Find p, given that -10*p**o + 3*p + 7/4*p**4 - 9/4*p**3 + 0 = 0.
-2, 0, 2/7, 3
Let z = -996797/4 + 249214. Factor -1/4*p**2 - 29/2*p + z.
-(p - 1)*(p + 59)/4
Let t = 74511/261401 - -25/37343. Let 2/7*q**3 - 12/7 - 2*q**2 + t*q**4 - 26/7*q = 0. What is q?
-2, -1, 3
Suppose -32 = -127*h + 129*h. Let y be ((-2)/(-4))/((-4)/h*1). Determine p so that 0 + 3/2*p**y - 1/2*p**4 + 0*p + p**3 = 0.
-1, 0, 3
Let m be (-892241)/9035 + 101 - (-2)/13. Suppose -87/5*a**2 + 24/5*a + 42/5*a**3 + 21/5*a**4 - 12/5*a**5 + m = 0. What is a?
-2, -1/4, 1, 2
Suppose 0 = 3*a + 17 - 23. Factor -36*j - 4*j**a + 19*j + 10*j**3 - 27*j - 22*j - 36.
2*(j - 3)*(j + 2)*(5*j + 3)
Find y such that 1/3*y**2 + 0*y - 3*y**4 + 0 + 5/6*y**3 = 0.
-2/9, 0, 1/2
Let d(r) be the first derivative of -3*r**6/2 - 807*r**5/5 + 1118*r**4 - 8296*r**3/3 + 3032*r**2 - 1520*r - 712. Let d(i) = 0. Calculate i.
-95, 2/3, 2
Factor -5*x**2 + 2 + 9/2*x - 3/2*x**3.
-(x - 1)*(x + 4)*(3*x + 1)/2
Let a(f) = -f**2 - 6*f - 5. Let m be a(-4). Let i = 7 - m. Factor -c**2 + 4*c**2 + 13*c**4 + 9*c**3 - 12*c - 6 - 10*c**i + 3*c.
3*(c - 1)*(c + 1)**2*(c + 2)
Let l(b) be the second derivative of -1/12*b**4 - 2*b**3 + 18*b + 0*b**2 + 1/40*b**5 - 1/360*b**6 + 0. Let w(y) be the second derivative of l(y). Factor w(f).
-(f - 2)*(f - 1)
Let j = -142 - -143. Let k be -1 - 0/j - (-4 + 0). What is s in -6/7*s**k + 108/7*s**2 - 648/7*s + 1296/7 = 0?
6
Let v(f) = 160*f**2 - 16549*f + 16587. Let o(t) = -116*t**2 + 12412*t - 12440. Let r(c) = -11*o(c) - 8*v(c). Factor r(w).
-4*(w - 1)*(w + 1036)
Solve -12*q**5 - 28*q**5 + 68*q**5 - 19*q**2 + 20 - 16*q + 7*q**3 + 7*q**4 - 27*q**5 = 0.
-5, -2, 1
Let d(r) be the first derivative of 13/9*r**3 + 28/3*r**2 + 20/3*r + 1/2*r**6 - 11/5*r**5 - 95 - 65/12*r**4. Let d(a) = 0. Calculate a.
-1, -2/3, 1, 5
Let t(q) be the first derivative of 0*q - 163 + 1/12*q**3 + 1/16*q**4 - 1/8*q**2 - 1/20*q**5. Let t(v) = 0. Calculate v.
-1, 0, 1
Suppose 2*c + 0 = 24. Suppose -3*q = q - c. Suppose 35*y + 10 + 0*y**4 + 32*y**2 + 5*y**4 + 25*y**q + 13*y**2 = 0. What is y?
-2, -1
Let z(c) = -18*c**2 - 7434*c + 4597932. Let m(k) = -47*k**2 - 22300*k + 13793796. Let q(u) = -3*m(u) + 8*z(u). Let q(r) = 0. Calculate r.
1238
Let p(j) be the second derivative of 21*j**5/10 + 437*j**4/3 + 535*j**3/3 + 82*j**2 + 2*j + 747. Factor p(o).
2*(o + 41)*(3*o + 1)*(7*o + 2)
Let s(m) = -m**3 + 2*m**2 + 2*m. Let a(x) = -25*x**3 + 830*x**2 + 40*x. Let q(n) = a(n) - 20*s(n). Factor q(l).
-5*l**2*(l - 158)
Suppose u = 26 + 15. Factor -39*b**2 - 4*b**4 - 12 - 3*b**4 + 4*b**4 + 5*b - 18*b**3 - u*b.
-3*(b + 1)**2*(b + 2)**2
Suppose -m + 2*a = 376, -3*a = -4*m - 1140 - 389. Let f = m - -386. Factor f*w + 2/23*w**2 + 0 - 2/23*w**3.
-2*w**2*(w - 1)/23
Let p = 396 + -416. Let m(v) = 48*v**2 - 708*v + 4752. Let s(w) = -7*w**2 + 101*w - 679. Let f(o) = p*s(o) - 3*m(o). Find r, given that f(r) = 0.
13
Solve 0 + 2/5*v**2 + 8/5*v**3 - 2/5*v**4 - 8/5*v = 0.
-1, 0, 1, 4
Let t be 14/(-33)*7/((-637)/468) - 0. Suppose t + 1/11*o**2 - 10/11*o = 0. What is o?
4, 6
Factor 144*h + 4/5*h**2 - 1456/5.
4*(h - 2)*(h + 182)/5
Let y = 9479 + -66351/7. Factor -y*b**2 - 48/7 - 4*b.
-2*(b + 2)*(b + 12)/7
Let r(a) be the third derivative of -2*a + 9/4*a**4 - 7/5*a**5 + 0 - 4/3*a**3 - 22*a**2 - 49/240*a**6. Factor r(d).
-(d + 4)*(7*d - 2)**2/2
Let j(m) be the second derivative of -m**7/5040 + 17*m**6/720 - 5*m**4 + 114*m - 1. Let k(q) be the third derivative of j(q). Factor k(u).
-u*(u - 34)/2
Suppose 7*f + 0 = 21. Factor 115*p**2 + 51*p**4 + 185*p**2 - 6*p**4 - 235*p**f - 70*p**2 - 40*p.
5*p*(p - 4)*(p - 1)*(9*p - 2)
Let h(y) be the first derivative of -5*y**4 + 5/2*y**2 - 5*y**3 - 73 + 0*y. Factor h(n).
-5*n*(n + 1)*(4*n - 1)
Let g = 514 - 512. Determine o so that -6*o**g - 7*o**2 + 5*o**4 - 8*o**3 + 18*o**3 - 27*o**2 - 200*o - 160 - 20*o**2 = 0.
-2, 4
Let m(c) = -4*c**2 + 2610*c - 596. Let f(t) = -4*t**2 - t - 12. Let d(u) = -6*f(u) + m(u). Factor d(j).
4*(j + 131)*(5*j - 1)
Let h(m) be the first derivative of -10*m**4 + 156*m**3 - 328*m**2 - 240*m + 2. Factor h(f).
-4*(f - 10)*(f - 2)*(10*f + 3)
Let s(p) = 226*p**2 - 379*p + 3185. Let i(u) = -64*u**2 + 126*u - 1062. Let z(n) = -7*i(n) - 2*s(n). Factor z(c).
-4*(c - 7)*(c + 38)
Solve 0 + 2/19*r + 676/19*r**2 + 57122/19*r**3 = 0.
-1/169, 0
Let n(u) be the third derivative of u**5/60 - 41*u**4/24 - 22*u**3 + 651*u**2. Factor n(a).
(a - 44)*(a + 3)
Factor -24*a**2 - 172*a**5 + 13*a**5 - 28*a**3 + 163*a**5.
4*a**2*(a - 3)*(a + 1)*(a + 2)
Let i be 3 - 5 - 3/1. Let n(g) = 4*g**2 + 2*g + 1. Let s(y) = -7*y**2 - 4*y - 2. Let w = 2496 - 2499. Let v(x) = i*n(x) + w*s(x). Factor v(u).
(u + 1)**2
Suppose -69*u + 270 = -60*u. Suppose -7*t - 20*t**2 - 17*t - 5*t**5 + 20*t**4 + u*t**3 - 4*t + 3*t = 0. What is t?
-1, 0, 1, 5
Let u(i) be the third derivative of i**8/11760 - i**7/2205 + i**6/1260 + i**4/6 - 19*i**3/6 - 95*i**2. Let h(k) be the second derivative of u(k). Factor h(v).
4*v*(v - 1)**2/7
Let l(t) = -3*t**2 + 12*t - 12. Let q(k) = -4*k**2 + 527*k - 503*k - 2*k**2 - 24. Let v(a) = 7*l(a) - 4*q(a). Factor v(n).
3*(n - 2)**2
Let v = 53218 - 53215. Solve -392/5 + 224*i + 166/5*i**2 + 6/5*i**v = 0.
-14, 1/3
Suppose -91*i = -81*i - 310. Suppose -7*j + 1 = -5*b, -3*b - b + i = 5*j. Find s, given that 2/5*s + 4/5*s**2 + 2/5*s**j + 0 = 0.
-1, 0
Let o(x) = -12*x - 110. Let l be o(-10). Let w be 4 + -5*l/75*3. Factor -12/7 + 0*i**2 - w*i + 2/7*i**3.
2*(i - 3)*(i + 1)*(i + 2)/7
Let i(j) be the third derivative of j**8/2800 - j**6/200 - j**5/100 - 91*j**3/6 + 83*j**2. Let x(d) be the first derivative of i(d). Factor x(m).
3*m*(m - 2)*(m + 1)**2/5
Determine a, given that 1/8*a**5 + 49/2*a**3 + 25*a**4 - 299/4*a**2 - 197/8*a + 199/4 = 0.
-199, -2, -1, 1
Let i be 