 -10*m - 47*m = -14*m. Let j(g) be the first derivative of m*g - 1/2*g**3 + 0*g**2 - 20 + 3/10*g**5 + 0*g**4. Let j(l) = 0. What is l?
-1, 0, 1
Suppose 2*b = -i + 3*b + 218, -12 = 4*b. Suppose i*v**5 - 85*v + 70*v**3 - 48*v**4 - 22*v**4 + 40*v**2 - 200*v**5 + 30 = 0. What is v?
-1, 2/3, 1, 3
Let n(y) be the first derivative of y**4/3 + 4*y**3 + 10*y**2 - 107*y - 101. Let i(l) be the first derivative of n(l). What is t in i(t) = 0?
-5, -1
Let k(z) = -2*z**3 + 6*z**3 - 19*z + 0*z**2 - 2 + 17*z - z**2 - 5*z**3. Let s(x) = 65*x**3 + 10*x**2 - 25*x + 30. Let w(a) = 30*k(a) + s(a). Factor w(o).
5*(o - 2)*(o + 1)*(7*o + 3)
Suppose 197/3*h**3 + 252 + 11/3*h**4 - 1/3*h**5 + 111*h**2 - 432*h = 0. Calculate h.
-6, 1, 21
Suppose -w + 2*w = -3*a - 6, 5*a = -10. Let o be (-2)/(3 - 5)*(0 + w). Factor 0*c**2 - 3*c**4 + 3*c**3 + o*c**3 + 3*c**2 - 3*c.
-3*c*(c - 1)**2*(c + 1)
Let c(i) be the first derivative of i**6/12 - 4*i**5 + 189*i**4/8 + 251*i**3/3 + 68*i**2 + 5990. Find y such that c(y) = 0.
-1, 0, 8, 34
Let a(z) be the second derivative of -4*z**5/35 + 31*z**4/42 - 4*z**3/3 - 4*z**2/7 + 10*z + 21. Factor a(v).
-2*(v - 2)**2*(8*v + 1)/7
Let z(w) = -w**2 + 14*w - 81. Let m(r) = -2*r**2 + 26*r - 162. Suppose 3*y = -5*j - 14, 2*y + 17*j = 16*j. Let i(x) = y*m(x) - 5*z(x). Factor i(d).
(d - 9)**2
Let z = -9/11 + 73/22. Let w(g) be the first derivative of z*g**3 + 0*g + 3/10*g**5 + 3/2*g**2 + 3/2*g**4 + 16. Factor w(y).
3*y*(y + 1)**2*(y + 2)/2
Let b(r) = 10*r**2 + 1856*r + 428726. Let j(s) = -12*s**2 - 1857*s - 428723. Let w(q) = -5*b(q) - 4*j(q). Let w(l) = 0. Calculate l.
-463
Let t(i) = 15*i**2 + 366*i + 1929. Let l(b) = 24*b**2 + 734*b + 3860. Let n(h) = 3*l(h) - 5*t(h). Find s such that n(s) = 0.
-5, 129
Let w = -5/13536 + 99299/94752. Determine z, given that w*z**3 + 128/21 + 32/21*z - 24/7*z**2 - 2/21*z**4 = 0.
-1, 4
Let g be (-95)/5 - 1/(1/(-2)). Let u be (-6)/(-1 + g)*1*6. Factor -18 - 69*y - 13*y**2 - 3*y**2 - 5*y**u.
-3*(y + 3)*(7*y + 2)
Let t(w) be the first derivative of -4*w**3/3 + 116*w**2 - 660*w + 215. Let t(y) = 0. What is y?
3, 55
Let y(l) be the second derivative of 0 - 11/2*l**2 + 5/6*l**3 - 12*l + 5/8*l**4 + 1/6*l**5. Let o(j) be the first derivative of y(j). Factor o(p).
5*(p + 1)*(2*p + 1)
Factor -5/2*a**3 + 1/4*a**4 + 0*a + 21/4*a**2 + 0.
a**2*(a - 7)*(a - 3)/4
Let v(h) be the first derivative of -5/8*h**4 + 0*h**5 + 1/24*h**6 + 320 - h - 15/8*h**2 - 5/3*h**3. Suppose v(m) = 0. Calculate m.
-1, 4
Let l(i) be the third derivative of -i**7/490 + 189*i**6/40 - 29238*i**5/7 + 10865800*i**4/7 - 127776000*i**3/7 + 299*i**2 - 4. Solve l(k) = 0 for k.
3, 440
Let y be 18/(-8)*(-4 - (-3 + 3)). Suppose -g - y*g = 2*g. Factor -4*d**2 - 8*d + g + 8*d**3 - 5 + 5 + 4*d**4.
4*d*(d - 1)*(d + 1)*(d + 2)
Factor 0 - 2/3*r**2 + 352/3*r.
-2*r*(r - 176)/3
Let m be 9/21*21889/354 + -23. Factor 2*z**2 + 0 + m*z**3 + 1/2*z**4 - 6*z.
z*(z - 1)*(z + 2)*(z + 6)/2
Suppose 26*z = 439*z - 19 + 17 - 824. Find m, given that -2/9*m**5 + 0*m - 4/3*m**4 + 10/3*m**3 - 16/9*m**z + 0 = 0.
-8, 0, 1
Suppose -5*g + 421 = 411. Suppose -5*q + 3 = 4*r - g, -3 = -5*r - 3*q. Factor 6/7*b + 9/7*b**2 + r + 3/7*b**3.
3*b*(b + 1)*(b + 2)/7
Suppose 12/5 - 8*x**3 + 3/5*x**5 - 62/5*x**2 + 2/5*x**4 - 11/5*x = 0. Calculate x.
-3, -1, 1/3, 4
Let t(h) be the third derivative of -h**8/336 + 11*h**7/210 - 13*h**6/60 + 4*h**5/15 - 9979*h**2. Factor t(o).
-o**2*(o - 8)*(o - 2)*(o - 1)
What is y in 99*y - 29*y**3 + 41*y**2 + 159*y - 5*y**4 - 265*y = 0?
-7, 0, 1/5, 1
Let m(b) be the first derivative of b**7/840 - 7*b**6/360 + b**5/15 + 2*b**4/3 - 53*b**3/3 + 145. Let a(n) be the third derivative of m(n). Factor a(k).
(k - 4)**2*(k + 1)
Suppose -5*p - 54 = 51. Let g be (-6 + (-112)/p)*-2. Solve 2*t**3 + 0 - 2/3*t - g*t**2 = 0 for t.
-1/3, 0, 1
Let x = -8951 - -179021/20. Let o(d) be the third derivative of 0*d**3 + 0*d + 0 - x*d**5 - 16*d**2 + 1/8*d**4. Factor o(g).
-3*g*(g - 1)
Let f be (-54)/351 + (-158)/(-13). Determine d, given that -f*d**4 - 4*d**4 + 20*d - 16*d**3 + 8 + 8*d**2 - 79*d**5 + 75*d**5 = 0.
-2, -1, 1
What is g in -1/2*g**3 - 55/2*g**2 - 102 - 104*g = 0?
-51, -2
Let z be -4 + 5 + 7 + -5. What is v in 8*v**5 - 9 + 9 - 45*v**3 - 12*v + 21*v**z - 6*v**4 + 34*v**2 = 0?
-2, 0, 3/4, 1
Suppose 9 = -5*a - 5*g - 11, 3*g + 15 = -2*a. Let b(i) be the first derivative of 2/5*i**5 + 2*i**a - 8 + 0*i - i**2 - 3/2*i**4. Suppose b(t) = 0. What is t?
0, 1
Let u(a) = -82*a**3 - 143*a**2 + 3611*a - 15680. Let w(z) = 15*z**3 + 29*z**2 - 722*z + 3136. Let d(i) = 2*u(i) + 11*w(i). What is c in d(c) = 0?
-49, 8
Let m(q) be the first derivative of -q**3/4 - 1017*q**2/4 - 344763*q/4 - 947. Factor m(a).
-3*(a + 339)**2/4
Let r(p) = p**3 + 22*p**2 + 9*p + 3. Let n be -2*((-3)/(-2))/(-1). Let j(u) = -u**3 - 24*u**2 - 7*u - 4. Let x(i) = n*j(i) + 4*r(i). Find t such that x(t) = 0.
-15, -1, 0
Let x(s) be the first derivative of s**2 - 19*s + 23. Let i be x(11). Determine n so that 10 - 24 - 6*n**2 - 2*n**i + 2*n + 17*n**2 + 3*n**2 = 0.
-1, 1, 7
Let f = 16501 - 16498. Let d(c) be the second derivative of f*c + 0 - 2/45*c**5 - 7/27*c**4 - 8/27*c**3 + 8/9*c**2. Factor d(q).
-4*(q + 2)**2*(2*q - 1)/9
Let w be (-30)/2 - ((-216678)/210)/67. Determine m, given that -22/5*m**2 - 48/5*m + 72/5 - w*m**3 = 0.
-6, 1
Solve 1453901*u**2 + 2570*u**3 + 6*u**4 - 663060*u + 332820 - 1126236*u**2 - u**4 = 0.
-258, 1
Let x = 1366661/80 - 17083. Let d = 463/240 - x. Suppose 10*q + 0 + d*q**2 = 0. Calculate q.
-6, 0
Suppose 23 = 2*z + 3*k, 3*z + 10*k - 37 = 5*k. Factor -26*p - 3*p**2 + z*p**2 + 2*p**2 - 7*p + 30.
3*(p - 10)*(p - 1)
Let o = 4 - 2. Suppose 5*b + 5*v + 15 = 0, -2 - 6 = b + 2*v. Suppose 2*y**2 - 9*y**o + y + 4*y + b*y**2 = 0. What is y?
0, 1
Let n = -20411 - -20415. Factor -1/2*m**3 - 1/4*m**n + m**2 + 1/2*m - 3/4.
-(m - 1)**2*(m + 1)*(m + 3)/4
Let s be (-18)/(-39) + (-1625)/(-42250). Determine r, given that 5*r - s*r**2 + 11/2 = 0.
-1, 11
Suppose 7 = -8*f + 12*f - 5. Let v(x) be the first derivative of 1/5*x**4 + 0*x + 2/15*x**6 + 8/25*x**5 + 0*x**f - 26 + 0*x**2. Let v(t) = 0. Calculate t.
-1, 0
Factor -63 + 3/2*u**2 + 123/2*u.
3*(u - 1)*(u + 42)/2
Let p be (15 - (-630)/(-40))/((-14)/28). Solve 17/2*w**2 + 49/6 + p*w**3 + 91/6*w = 0 for w.
-7/3, -1
Suppose 0 + 1/2*o**4 + 146882*o**2 + 0*o + 542*o**3 = 0. What is o?
-542, 0
Let y(d) be the second derivative of -d**6 - 1 + 5/2*d**4 - d**5 - 5/42*d**7 + 25/6*d**3 + 0*d**2 + 61*d. Solve y(k) = 0 for k.
-5, -1, 0, 1
Let b be (8*9/(-324))/(4/(-18)). Let u be 0/((23/(-92))/(b/(-4))). Find d such that 4/11*d**4 + u*d - 2/11*d**5 + 0 - 2/11*d**3 + 0*d**2 = 0.
0, 1
Let j = 462 - 424. Suppose 4*z + 2*c - 8 = 0, -37*z = -j*z + 2*c + 2. Suppose 0*v - 1/3*v**z + 1/3 = 0. Calculate v.
-1, 1
Let s = 1032960/239 + -4322. Let y = s + 950/717. Let -8/3*o - y - o**3 + 11/3*o**2 = 0. Calculate o.
-1/3, 2
Let l(i) = -i - 665 + 663 - i**4 + 2*i**4 + i**2. Let w(f) = 8*f**4 + 2*f**3 + 22*f**2 - 10*f - 20. Let o(r) = -20*l(r) + 2*w(r). Factor o(b).
-4*b**2*(b - 3)*(b + 2)
Factor -3026 + 187*q**3 - 121*q**3 - 558*q - 762*q**2 - 2*q**4 + 4012*q - 1330.
-2*(q - 11)**2*(q - 9)*(q - 2)
Let q = 15937 - 15935. Factor -9/2*t**3 + 0*t - 33/4*t**4 + 0*t**q + 0.
-3*t**3*(11*t + 6)/4
Suppose 5*f = 5*n - 220 - 365, 4*f - 603 = -5*n. Suppose -49*a + n = -28. Factor -1/12*s**5 + 1/12*s - 1/6*s**4 + 0*s**a + 1/6*s**2 + 0.
-s*(s - 1)*(s + 1)**3/12
Suppose 16*c + 44 = 3*c + 9*c, -40 = 3*l + 5*c. Find i, given that 1/6*i**l + 0*i**2 + 8/3*i**3 + 0*i - 4/3*i**4 + 0 = 0.
0, 4
Let h = 4706 - 4702. Let x(o) be the third derivative of 0 - 1/3*o**3 + 1/14*o**h + 0*o + 1/210*o**5 - 29*o**2. Factor x(s).
2*(s - 1)*(s + 7)/7
Let o = -197 + 195. Let h be 0 - (4 + o - 6). Determine r, given that -175/3*r**h + 15*r**2 + 230/3*r**3 - 80/3*r - 20/3 = 0.
-2/5, -2/7, 1
Determine k so that -48 - 4/5*k**2 - 92/5*k = 0.
-20, -3
Let q(k) be the second derivative of k**8/4200 - k**7/1050 + k**5/150 - k**4/60 + 17*k**3/3 - k - 25. Let t(m) be the second derivative of q(m). Solve t(r) = 0.
-1, 1
Let x(a) be the first derivative of 2*a**6/3 - 176*a**5/5 + 237*a**4 - 1384*a**3/3 + 304*a**2 - 4085. Determine k, given that x(k) = 0.
0, 1, 4, 38
Let a = -974/1167 - -1/778. Let y = 85/12 + a. Suppose 5/2 + y*f**3 + 45/4*f**2 + 5/4*f**4 