t z**2 + z**g + 2*z**3 - 2*z**2 + p*z**2 = 0. What is z?
-1, 0
Let t(u) be the second derivative of u**4/6 - 1109*u**3/12 + 277*u**2/4 + 22*u + 35. Factor t(s).
(s - 277)*(4*s - 1)/2
Let l(x) be the second derivative of 76 + 5/6*x**3 - 1/4*x**5 + 1/6*x**6 + 2*x + 0*x**2 - 5/12*x**4. Solve l(d) = 0.
-1, 0, 1
Suppose 4*x - 6*x = -14. Suppose 155*b**2 - 120*b + 0*b**4 - 31*b**4 - x*b**4 + 20 - 137*b**4 + 120*b**3 = 0. What is b?
-1, 2/7, 2/5, 1
Solve 6755*t**2 - 645 - 6752*t**2 + 1410*t + 695 + 1357 = 0 for t.
-469, -1
Let n be (2/28)/((-1160)/(-609)). Let l(b) be the second derivative of 0 + 14*b + 0*b**2 - n*b**5 - 1/8*b**3 - 1/8*b**4. Factor l(q).
-3*q*(q + 1)**2/4
Suppose 0 - a**4 + 40/7*a**3 + 2*a + 61/7*a**2 = 0. What is a?
-1, -2/7, 0, 7
Let l(b) be the second derivative of -b**4/84 + 2*b**3/3 - 75*b**2/14 - 2*b + 8. Let l(d) = 0. Calculate d.
3, 25
Let y(j) be the first derivative of -110 + 5/6*j**3 - 125/4*j**2 + 115*j. Factor y(d).
5*(d - 23)*(d - 2)/2
Suppose 313*r**5 - 30*r**2 + 6*r**4 - 17*r**3 - 22*r**2 - 11*r**3 + 19*r**4 - 312*r**5 = 0. What is r?
-26, -1, 0, 2
Determine y, given that -2/3*y**4 - 20 + 10*y**2 - 2*y**3 + 38/3*y = 0.
-5, -2, 1, 3
Find x, given that -44/7*x**2 - 13/7*x**3 - 40/7 + 97/7*x = 0.
-5, 8/13, 1
Let o = 365 + -363. Solve 576 + 44*n**2 - 15*n**2 + 96*n - 11*n**o - 14*n**2 = 0 for n.
-12
Suppose 0 = -10517*m + 10396*m + 242. Factor 66/7*d + 363/7 + 3/7*d**m.
3*(d + 11)**2/7
Find q, given that -39/2*q**2 - 2*q + 78 + 1/2*q**3 = 0.
-2, 2, 39
Factor -7/3*p - 20/3 - 1/6*p**2.
-(p + 4)*(p + 10)/6
Suppose 0 = -2*n + 7 - 3. Let m = -1960287/2 - -980151. Let 0 - m*j**3 + 5*j - 25/2*j**n = 0. Calculate j.
-2, 0, 1/3
Let t = -5276/5 + 1089. Let n = t + -167/5. Factor -1/5*m**2 - 1/5 + n*m.
-(m - 1)**2/5
Let r(x) = 4*x**2 + 722*x - 14. Let h(j) = -3*j**2 - 576*j + 11. Let n(u) = 14*h(u) + 11*r(u). Find o such that n(o) = 0.
0, 61
Let o(z) be the second derivative of -16*z**7/63 - 488*z**6/15 + 49*z**5/2 - 46*z**4/9 - 5710*z. Find s, given that o(s) = 0.
-92, 0, 1/4
Let g(v) = 5*v**2 - 15*v + 45. Let l be g(3). Determine o so that 41*o - 20*o - 20 - 21*o + 10*o**4 + 55*o**2 - l*o**3 = 0.
-1/2, 1, 2
Let w(m) be the third derivative of -11/15*m**5 + 0 + 14/3*m**3 + 32*m**2 + 121/6*m**4 + 0*m + 1/90*m**6. Let i(o) be the first derivative of w(o). Factor i(b).
4*(b - 11)**2
Factor 315/4*v + 3/4*v**3 - 243/2 + 42*v**2.
3*(v - 1)*(v + 3)*(v + 54)/4
Let w be 5/20*4 + -1. Let x(i) = i**2 - 3*i + 9. Let d be x(w). Let 2*q - 5*q**2 - 1 + 3*q + d - 5*q**3 - 3 = 0. What is q?
-1, 1
Factor -440*j + 1/2*j**2 + 96800.
(j - 440)**2/2
Let m(y) be the second derivative of 2*y**6/5 - 41*y**5/10 + 47*y**4/3 - 27*y**3 + 18*y**2 - 90*y - 2. Suppose m(t) = 0. What is t?
1/3, 3/2, 2, 3
Let x = -2542/5 + 510. Let t = -14516 + 72592/5. Find a, given that 2/5*a**3 - t*a**2 + 16/5 - x*a + 2/5*a**4 = 0.
-2, 1, 2
Let p(l) be the third derivative of 1/30*l**6 - 156*l**2 - 16/15*l**5 + 15/2*l**4 + 0*l + 108*l**3 + 0. Suppose p(h) = 0. Calculate h.
-2, 9
Let j(m) be the third derivative of -m**5/60 - 67*m**4/24 - 308*m**3/3 - 6930*m**2. Factor j(q).
-(q + 11)*(q + 56)
Let i = -24/1993 + 5136081/9965. Let r = i - 513. Determine f, given that 2/5*f**5 - 4/5 + 28/5*f**3 - 32/5*f**2 + 18/5*f - r*f**4 = 0.
1, 2
Find i such that 476/11*i - 240/11 + 2/11*i**5 - 46/11*i**3 - 210/11*i**2 + 18/11*i**4 = 0.
-10, -4, 1, 3
Let k(i) be the third derivative of 1/6*i**4 + 49*i**2 + 0*i + 0*i**3 - 1/15*i**6 + 0 - 1/15*i**5. Factor k(m).
-4*m*(m + 1)*(2*m - 1)
Solve -435 + 56*m**3 + 310 - 1356*m + 810*m**2 + 233 + 212 = 0 for m.
-16, 2/7, 5/4
Let h = -381 - -383. Factor v**h + 21*v + 42*v - 6*v**2 + 2*v**2.
-3*v*(v - 21)
Let g(k) be the second derivative of -k**5/20 - 3*k**4 - 64*k**3/3 + k + 535. Find u such that g(u) = 0.
-32, -4, 0
Let s = -4032 + 451579/112. Let f = 67/1008 - s. Factor 1/9*g**5 + 1/3*g**4 + f*g**2 + 0 + 0*g + 1/3*g**3.
g**2*(g + 1)**3/9
Let u(a) be the first derivative of -2*a**5/25 + 161*a**4/10 - 5724*a**3/5 + 148716*a**2/5 + 314928*a/5 + 748. Factor u(f).
-2*(f - 54)**3*(f + 1)/5
Suppose 6726 = -26*a + 1084. Let y be 4/((-56)/(-9))*a/(-186). Factor -9/4*j + 0 + 3/2*j**2 + y*j**3.
3*j*(j - 1)*(j + 3)/4
Suppose -8 = 5*q - 143. Suppose -2*u - q = -11*u. Suppose 3*m**u - 6*m**3 + 0 - 16 + 32*m - 5*m**3 + 24*m**2 - 5*m**4 = 0. Calculate m.
-2, 2/5, 2
Suppose -36/5*b + 0 + 2/5*b**2 = 0. Calculate b.
0, 18
Let k(c) be the first derivative of -c**6/540 + c**5/36 - c**4/9 - 9*c**3 + c - 99. Let d(x) be the third derivative of k(x). Factor d(u).
-2*(u - 4)*(u - 1)/3
Let a(b) be the second derivative of -b**6/60 - 4*b**5/15 - 7*b**4/12 + 53*b**2 + b + 37. Let y(d) be the first derivative of a(d). Suppose y(c) = 0. What is c?
-7, -1, 0
Let w be 1210/550 - (-1)/(-5)*1. Factor -24*d**2 + 3*d - 13*d**2 - 18 + 63*d**w - 11*d**2 - 6*d**3.
-3*(d - 2)*(d + 1)*(2*d - 3)
Let h be (6 + -9 - (-14 - -10))*4/2. Suppose 1/4*w**h - 5*w - 21/4 = 0. Calculate w.
-1, 21
Let a = 2345972/7 + -335138. Find h, given that -3/7*h**5 + 138/7*h**2 - 24 + 87/7*h**3 - 60/7*h + a*h**4 = 0.
-2, 1, 7
Determine k, given that -3*k**3 + 74*k**2 - 5*k + 464*k + 59*k**2 + 11*k**2 = 0.
-3, 0, 51
Let a(c) be the third derivative of 5*c**7/42 - 17*c**6/24 + 4*c**5/3 - 5*c**4/6 - 575*c**2. Factor a(f).
5*f*(f - 2)*(f - 1)*(5*f - 2)
Let q be 1/((-35)/10 + 2 + 2). Solve -33*n + 114*n - 64 - 4*n**q - 41*n = 0 for n.
2, 8
Let m(p) = 11*p**3 - 113*p**2 + 515*p - 413. Let d(h) = 16*h**3 - 168*h**2 + 772*h - 620. Let v(w) = -7*d(w) + 10*m(w). Factor v(s).
-2*(s - 15)*(s - 7)*(s - 1)
Determine r, given that -1/2*r**4 + 0*r + 0 - 5/2*r**3 - 2*r**2 = 0.
-4, -1, 0
Let c = 7 + -7. Suppose -175165*l + 175129*l = -72. Determine o, given that c - 5/2*o**l + o = 0.
0, 2/5
Factor 56*b + 23*b**2 + b**4 - 17*b**3 + 36*b**2 + 5*b**2 - 19*b**2 - 7*b**2.
b*(b - 14)*(b - 4)*(b + 1)
Factor 0 + 1/7*o**2 - 223/7*o.
o*(o - 223)/7
Let t(d) be the third derivative of -d**6/900 - 7*d**5/600 + d**4/30 + 46*d**3/3 - d**2 - 9. Let k(c) be the first derivative of t(c). Factor k(m).
-(m + 4)*(2*m - 1)/5
Let x(c) be the third derivative of c**6/120 - 7*c**5/30 + 19*c**4/8 - 12*c**3 + 12*c**2 - 76. Solve x(s) = 0.
3, 8
Let h(t) be the first derivative of -3*t**4/10 + 372*t**3/5 - 25947*t**2/5 + 566. Suppose h(x) = 0. Calculate x.
0, 93
Let r = 395 + -372. Factor -25*m + 28 - r*m + 38*m - 2*m**2.
-2*(m - 2)*(m + 7)
Let w(v) be the first derivative of -3*v - 10 + 3*v**3 - 2*v**3 + 3. Determine m, given that w(m) = 0.
-1, 1
Let k(j) be the first derivative of -5/3*j**3 - 36 + 0*j - 5/4*j**4 + 15*j**2. Factor k(g).
-5*g*(g - 2)*(g + 3)
Let n be 9889097/989 - (-4)/(-46). Factor -1725126255 - 14026*w**3 - 6632550*w**2 - n*w**4 + 144076*w**3 + 5*w**5 + 169130025*w + 8724*w**4.
5*(w - 51)**5
Let f(k) = k**2 - k + 1. Let c(o) = -17324*o + 18766220. Let m(t) = -c(t) - 4*f(t). Let m(v) = 0. Calculate v.
2166
Factor -240/7 - 124/7*n + 2/7*n**3 + 118/7*n**2.
2*(n - 2)*(n + 1)*(n + 60)/7
Let d(p) = p**2 + 6*p + 4. Let f be d(-8). Suppose -2*c + a + 18 = 3*c, 0 = 4*c + 4*a. Find i, given that -i**3 - 4*i**c - 28*i + f*i**2 + 12 + i**3 = 0.
1, 3
Factor 4982/9*w**2 + 194/9*w**3 + 4418/3*w + 0 + 2/9*w**4.
2*w*(w + 3)*(w + 47)**2/9
Let m(d) be the second derivative of 0*d**2 + 6*d + 0 + 4/5*d**5 - 2/15*d**6 - d**4 + 0*d**3. Factor m(l).
-4*l**2*(l - 3)*(l - 1)
Let k(m) be the third derivative of m**8/448 - 181*m**7/70 + 43921*m**6/40 - 181476*m**5 + 1749600*m**4 - 6912000*m**3 - m**2 - 260*m - 2. Factor k(c).
3*(c - 240)**3*(c - 2)**2/4
Let n(c) be the third derivative of 0 - 23/20*c**5 + 0*c**3 + 3/40*c**6 - 34*c**2 + 0*c + 7/4*c**4. Let n(k) = 0. What is k?
0, 2/3, 7
Let v = -99829/33 - -33577/11. Factor -v*h + 1/3*h**2 + 1681/3.
(h - 41)**2/3
Let m(i) be the first derivative of -i**4/12 - 16*i**3/9 - 8*i**2 - 1015. Factor m(x).
-x*(x + 4)*(x + 12)/3
Suppose 147*g - 1/3*g**3 - 1715/3 - 7*g**2 = 0. Calculate g.
-35, 7
Let r(x) be the third derivative of x**8/336 + 17*x**7/210 - 19*x**6/60 + x**5/30 + 37*x**4/24 - 19*x**3/6 + 2*x**2 + 170. Solve r(z) = 0 for z.
-19, -1, 1
Determine b so that -380*b**2 + 114 + 4*b**4 + 96*b + 642 - 113 - 24*b**3 + 105 + 708 = 0.
-7, -2, 2, 13
Let c(o) be the first derivative of -o**3/3 - 58*o**2 + 1677*o - 13967. Fin