2*d**2 + o*d = 0?
-2, -1, 0, 1
Let o be (14 - 672/64)*4/(84/9). Factor -18*c + 39/2 - o*c**2.
-3*(c - 1)*(c + 13)/2
Solve 0 - 43/4*g**2 + 5/2*g - 9/4*g**3 = 0 for g.
-5, 0, 2/9
Let s(j) be the second derivative of -j**7/98 + 11*j**6/35 - 177*j**5/140 + 19*j**4/14 + 271*j - 1. Determine h, given that s(h) = 0.
0, 1, 2, 19
Suppose 2*k - 5*u = -3*u + 4, -4*k + 12 = -5*u. Let p be 3 + (-8)/k + -1. Solve -p*i**2 - 3*i**3 + i**5 + 13*i**4 - 7*i**4 + 2*i**5 = 0 for i.
-2, -1, 0, 1
Let o be -17 + 24 + -1 - 786/(-9). Solve o*v - 68/3*v**2 - 32/3 = 0 for v.
2/17, 4
Let -j**4 - 2*j**4 + 32*j**3 + 42*j**3 - 135*j - 30*j**3 + 600 + 91*j**3 - 597*j**2 = 0. Calculate j.
-1, 1, 5, 40
Let k(n) be the first derivative of -n**6/36 + 3*n**5/10 - 5*n**4/8 + 7*n**3/18 + 202. Solve k(c) = 0.
0, 1, 7
Let z(u) = -u**3 - 10*u**2 + 6*u - 70. Let q be z(-14). Factor -2*c**2 + q*c - 18*c**2 - 622*c + 12*c**3.
4*c*(c - 1)*(3*c - 2)
Let x(p) be the third derivative of p**6/280 + 2*p**5/35 + 5*p**4/14 + 8*p**3/7 - 22*p**2 + 2*p. Factor x(h).
3*(h + 2)**2*(h + 4)/7
Let h(j) be the first derivative of 3/5*j**4 + 46 - 2/25*j**5 + 0*j - 8/5*j**3 + 8/5*j**2. Find d, given that h(d) = 0.
0, 2
Factor -371*n**2 + 181*n**2 + 425*n - 420 + 185*n**2.
-5*(n - 84)*(n - 1)
Suppose -8*y + 3*y = -20. Let 2*s**3 - 23*s**5 - 6*s**4 - y*s + 6*s**2 + 25*s**5 + 0*s**2 = 0. Calculate s.
-1, 0, 1, 2
Suppose 42 = -2*q + 3*h, -4*q = -h + 6*h + 128. Let d be 14/(210/q)*(-10)/12. Determine j, given that -d*j**2 + 0 - 3/8*j = 0.
-1/4, 0
Suppose -g = -2*g + 2*v - 4, g + 2*v - 4 = 0. Suppose g*h = -h + 3. Factor 1/4*d**5 + 0 - 1/4*d**2 - 3/4*d**4 + 0*d + 3/4*d**h.
d**2*(d - 1)**3/4
Let x(g) be the first derivative of -2*g**3/3 + 3902*g**2 - 7612802*g - 2500. Factor x(d).
-2*(d - 1951)**2
Suppose 545*c - 720*c = -525. Find w such that 8 + 22/3*w**2 - 40/3*w - 4/3*w**c = 0.
3/2, 2
Let d(f) be the first derivative of 5*f**3/3 - 45*f**2 + 405*f + 1000. Determine m, given that d(m) = 0.
9
Let u be -5 - -1 - (4/20)/(13/(-390)). Determine x so that 24/11 + 14/11*x + 2/11*x**u = 0.
-4, -3
Let w be (0/2 - -1)/(22/(-10054)). Let t = w - -459. Find i such that 4/13*i - 18/13*i**4 + 0 - 4/13*i**3 + 18/13*i**t = 0.
-1, -2/9, 0, 1
Let u be (-10)/(-5) + (-1)/(-2)*0. Let -4*h**4 + 3*h - 137*h**5 + 135*h**5 + 24*h**3 - 28*h**u + 7*h = 0. What is h?
-5, 0, 1
Factor 169 + 91 - z**2 + 25*z - 19*z - z**2.
-2*(z - 13)*(z + 10)
Let v(h) be the first derivative of 1/10*h**4 - 8/15*h**3 + 0*h + 3/5*h**2 - 56. Factor v(g).
2*g*(g - 3)*(g - 1)/5
Let t be 1215/(-1080) + (-364)/(-96). Suppose 2/3*s**3 + t + 10/3*s**2 + 16/3*s = 0. Calculate s.
-2, -1
Let q(z) be the second derivative of -5*z**4/12 + 125*z**3 - 2*z + 165. Find o, given that q(o) = 0.
0, 150
Let j(q) be the first derivative of 5*q**3/3 - 1305*q**2 + 5200*q - 2031. Factor j(i).
5*(i - 520)*(i - 2)
Let h(c) = c**3 + c**2 + c + 1. Let w(k) = -8*k**3 - 316*k**2 + 7624*k - 63492. Let n(u) = 12*h(u) + w(u). Solve n(t) = 0.
23, 30
Let q = -195459 + 195467. Factor -q + 84*i - 441/2*i**2.
-(21*i - 4)**2/2
Let b(p) = 56*p**2 + 388*p - 1124. Let x(c) = -41*c**2 - 388*c + 1125. Let l(a) = 3*b(a) + 4*x(a). Factor l(r).
4*(r - 94)*(r - 3)
Let j = 266 + -262. Factor 48490 - 34*q**2 + 2*q**j - 48490 - 14*q**3 - 18*q.
2*q*(q - 9)*(q + 1)**2
Suppose 6084 = -15*h + 18*h. Factor -603*v**4 + 305*v**4 + 831*v**2 + h + 301*v**4 - 2340*v - 90*v**3.
3*(v - 13)**2*(v - 2)**2
Let t = -494042 + 494062. What is c in t*c - 14/5*c**4 + 1/5*c**5 - 28*c**2 + 69/5*c**3 + 0 = 0?
0, 2, 5
Factor 246402 - 702*v + 1/2*v**2.
(v - 702)**2/2
Let z = 89655 + -268963/3. Determine w, given that -8/9 + z*w - 1/9*w**2 = 0.
2, 4
Let z(i) be the first derivative of -3*i**5/25 - 2412*i**4/5 - 3878496*i**3/5 - 3118310784*i**2/5 - 1253560935168*i/5 + 2234. Let z(m) = 0. What is m?
-804
Let r be (-38)/(-10) - 33559/13605. Factor 2/15*t**2 + r*t + 6/5.
2*(t + 1)*(t + 9)/15
Let q(z) = z**3 + z**2. Let v be ((-48)/(-15) - 3) + 7/(-35). Let x be q(v). Let 0 + 0*d - 2/19*d**4 + 0*d**2 + x*d**3 = 0. Calculate d.
0
Let a(r) be the second derivative of 0 - 30/13*r**2 - 133/39*r**3 + 3/26*r**4 + 54*r. Factor a(z).
2*(z - 15)*(9*z + 2)/13
Determine s so that -13/4*s**2 - 1/4*s**3 + 7 + 4*s = 0.
-14, -1, 2
Let p(w) be the second derivative of 2*w**2 - 7/6*w**3 + 45 + 1/6*w**4 + w + 1/20*w**5. Factor p(f).
(f - 1)**2*(f + 4)
Let k(f) be the second derivative of -f**5/10 - 2*f**4 + 20*f**3 - 64*f**2 + 3681*f. Find i, given that k(i) = 0.
-16, 2
Let x(f) be the first derivative of 1/2*f**2 + 8*f**3 + 35 + 0*f. Factor x(j).
j*(24*j + 1)
Let 61/3*g**2 - 899/3*g - 961/3 - 1/3*g**3 = 0. Calculate g.
-1, 31
Let c(s) = s**4 - 16*s**3 - 88*s**2 - 149*s - 28. Let x(p) = -2*p**4 + 32*p**3 + 178*p**2 + 297*p + 63. Let j(m) = 9*c(m) + 5*x(m). Let j(t) = 0. Calculate t.
-3, -1, 21
Let i(s) be the third derivative of -s**7/42 + s**6/6 + 4*s**5 - 200*s**4/3 + 1280*s**3/3 - 44*s**2 + 14*s. Let i(r) = 0. What is r?
-8, 4
Suppose 245*q = 249*q - 12. Factor -1793*n**3 - q*n**4 + 9*n**2 - 6*n + 1793*n**3.
-3*n*(n - 1)**2*(n + 2)
Let u(x) be the first derivative of -43 + 0*x - 1/24*x**4 + 1/18*x**3 + 0*x**2. Let u(a) = 0. Calculate a.
0, 1
Suppose -38/21*g**2 + 4/3*g + 0 + 8/21*g**3 + 2/21*g**4 = 0. What is g?
-7, 0, 1, 2
Let l(p) = 120 - 2*p**2 - p - 54 - 66. Let n(t) = -33*t**2 - 81*t - 363. Let a(u) = -15*l(u) + n(u). Factor a(g).
-3*(g + 11)**2
Let v = 54062 - 54060. Factor 13/3*j + 4/3 + 5*j**v + 1/3*j**4 + 7/3*j**3.
(j + 1)**3*(j + 4)/3
Let g(f) be the third derivative of 49*f**5/60 - 7*f**4/9 + 2*f**3/9 - 5307*f**2. Suppose g(p) = 0. What is p?
2/21, 2/7
Let j = -53 - -79. Suppose -j*c**2 + 2*c**3 + 7 - 13*c + 3*c**2 - 5*c**3 = 0. What is c?
-7, -1, 1/3
Suppose 0 = 65*t - 67*t + 16. Find h, given that -t*h**2 - 12*h + 2 + 2 - 9*h**2 + 2*h**2 - h**3 - 3*h**3 = 0.
-2, 1/4
Let z be ((-129)/(-9))/(-4 + (-515)/(-129)). Let g = -1847 - z. Determine c so that 2/7*c**g - 4/7*c - 6/7 = 0.
-1, 3
Let w(f) be the second derivative of -5/21*f**3 - 3/35*f**5 + 1/210*f**6 + 0*f**2 + 2*f + 1/4*f**4 - 90. Solve w(r) = 0.
0, 1, 10
Let j(d) = -171*d**2 + 1186*d + 4776. Let v(z) = -1155*z**2 + 8301*z + 33432. Let w(m) = 27*j(m) - 4*v(m). Suppose w(r) = 0. Calculate r.
-4, 398
Let v(j) be the third derivative of j**5/105 + 422*j**4/21 + 562*j**3/7 + j**2 - 129. Let v(s) = 0. Calculate s.
-843, -1
Let k(t) be the first derivative of 3/11*t**2 - 3/110*t**5 - 1/22*t**4 - 17*t + 1/11*t**3 + 3. Let p(o) be the first derivative of k(o). What is i in p(i) = 0?
-1, 1
Let y = 356 + -241. Let a = y - 61. Suppose -21*p**3 + 36*p**3 + 80*p - 11*p**2 - 20 - a*p**2 = 0. Calculate p.
1/3, 2
Let j(w) be the first derivative of 3*w**4/4 + 1604*w**3 + 1924791*w**2/2 - 3868854*w + 3109. Factor j(o).
3*(o - 2)*(o + 803)**2
Let d be (-1)/9*-6*-27. Let b = 23 + d. Factor -10*p**3 - p**4 - 4*p**4 + 7*p**4 + 6*p**2 + 2*p**b.
2*p**2*(p - 1)**2*(p + 3)
Let u be ((-1)/(-15))/(278/83956) + -20. Factor -16/15 - 8/5*c - 4/5*c**2 - u*c**3.
-2*(c + 2)**3/15
Suppose 2*s - 21 = i, -i - 6 = 84*s - 83*s. Suppose -326/7*f**3 - 200/7 - 640/7*f - 2/7*f**s - 46/7*f**4 - 722/7*f**2 = 0. What is f?
-10, -1
Let u = 2600 - 272999/105. Let k(m) be the third derivative of 0 - 8*m**2 + 0*m + 2/21*m**3 + u*m**5 + 1/21*m**4. Find f, given that k(f) = 0.
-1
Suppose 4*g + 29 = q + 47, 5*g = 25. Factor -8/7 - 8*a**q - 116/7*a.
-4*(a + 2)*(14*a + 1)/7
Suppose 18*t + 26/5*t**2 - 26*t**3 + 0 + 14/5*t**4 = 0. What is t?
-5/7, 0, 1, 9
Find q, given that -18*q**4 + 38071*q**3 + 6*q**4 - 192*q - 38023*q**3 + 80*q**2 - 4*q**5 = 0.
-4, -3, 0, 2
Let w(m) be the second derivative of -40*m - 5*m**2 - 2 + 7/2*m**3 - 11/12*m**4. Factor w(k).
-(k - 1)*(11*k - 10)
Let m(r) be the second derivative of -r**4/16 - r**3/8 + 938*r. Solve m(z) = 0.
-1, 0
Let n = -7589/12 + 12651/20. Factor -n*c - 26/15*c**2 + 26/15 + 2/15*c**3.
2*(c - 13)*(c - 1)*(c + 1)/15
Solve -18 - r + 1/3*r**2 = 0 for r.
-6, 9
Let d(n) be the third derivative of 146*n**2 - 7/300*n**6 + 2/5*n**4 + 0*n**3 + 0*n + 0 + 41/75*n**5. Suppose d(t) = 0. What is t?
-2/7, 0, 12
Let x be 537/(-2)*-14*40/(-420). Let z = x - -3948/11. Determine w, given that -12/11*w + 2/11*w**2 + z = 0.
1, 5
Factor -2*k**4 + 1026459*k**3 + 72*k**2 + 16*k + 128*k - 1 + 1 - 1026463*k**3.
-2*k*(