 40*g**2 + 0 - 15/2*g**4 + 48*g**3 + 0*g = 0.
-20, 0, 1, 4
Suppose 0 = -2*j - 621 + 621. Let k be (1 - 0)*(-2 + 5). Solve -3*s + j*s**k + 5*s**3 - 2*s**3 = 0 for s.
-1, 0, 1
Let h(c) be the second derivative of c**4/4 - 135*c**3 + 54675*c**2/2 - 3736*c. Factor h(k).
3*(k - 135)**2
Let w(h) = h**2 + 6*h + 12. Let k(a) = 1. Suppose 3*i + 2*i - 4*r = -175, 0 = -4*i + r - 140. Let b(z) = i*k(z) + 5*w(z). Suppose b(x) = 0. Calculate x.
-5, -1
Let o be 14/49*49*564/924. Factor -4/11 - o*s**2 - 98/11*s.
-2*(s + 1)*(47*s + 2)/11
Let i(t) = -5*t**2 + 120*t - 271. Suppose 0 = 148*u - 163*u - 90. Let w(x) = -2*x**2 + 40*x - 90. Let z(k) = u*i(k) + 17*w(k). Suppose z(q) = 0. What is q?
-12, 2
Let h(w) = -w**2 + 3*w - 9. Let k(l) = 1. Suppose 0 = 4*x + 2*x + 24. Suppose -2*j - 42 - 14 = 0. Let d(p) = j*k(p) + x*h(p). Suppose d(s) = 0. What is s?
1, 2
Let f be (-5*(-10)/(-75))/(2/(-831)). Let u = f - 277. Factor u - 1/3*r**5 - r**2 - 1/3*r**4 + 0*r + 5/3*r**3.
-r**2*(r - 1)**2*(r + 3)/3
Suppose -3*j + 2*j + 32 = 2*l, 0 = -5*j - l + 160. Suppose -10*o + 32 = j. Solve o*t - 3/4*t**2 + 0 - 3/4*t**3 = 0.
-1, 0
Let m(b) be the third derivative of -36*b**2 + 0*b - 1/10*b**6 + 11/2*b**4 + 6*b**3 - 17/20*b**5 + 0. Find j such that m(j) = 0.
-6, -1/4, 2
Let d = 198401 - 198399. Determine n so that 3/2*n - 3/4*n**d + 0 = 0.
0, 2
Let n be 1 + 2 - 85/34 - 45/(-10). Let u(m) be the first derivative of 1/3*m**6 - 2/5*m**n + 0*m**4 + 0*m**2 + 0*m**3 + 0*m + 23. Factor u(p).
2*p**4*(p - 1)
Let b be (1 + (-776)/736)*10408. Let g = 566 + b. Factor -g - 2/23*t**2 + 8/23*t.
-2*(t - 2)**2/23
Suppose -3*z - 9 + 21 = 0. Suppose -8*d + z = -6*d. Let -2 - 6*v**d + v**3 + v**3 + 0*v**3 + 6*v = 0. Calculate v.
1
Let a be -2*(-30)/(-40)*-18. Let n be a/6*(-46)/(-69). Suppose -4/7*r**2 + 4/7 + 2/7*r**n - 2/7*r = 0. What is r?
-1, 1, 2
Let g be (5 - 2) + (-140)/120 + 3/2. Let f(b) be the second derivative of -g*b**3 - 5/2*b**2 - 1/6*b**6 - b**5 - 5/2*b**4 + 0 + 13*b. Solve f(l) = 0.
-1
Suppose -15 + 55 = 5*s + 5*h, s + 4*h = 23. Find o, given that -3*o + 10*o - 44*o**2 + 136*o**s + o - 84*o**4 - 16*o**2 = 0.
0, 2/7, 1/3, 1
Let a = -79 - -110. Factor -14*c - 32*c + a*c**3 + 11*c - 26*c**3 - 30*c**2.
5*c*(c - 7)*(c + 1)
Suppose 67*n = 51*n + 9632. Let m be (-8)/(-6)*172/n. What is s in 2/21*s**5 + 2/21*s + 8/21*s**2 + 0 + m*s**4 + 4/7*s**3 = 0?
-1, 0
Let b = 1346526/1683145 - 2/336629. Factor -36/5*o + 32/5 + b*o**2.
4*(o - 8)*(o - 1)/5
Suppose 204*l**2 + 213*l - 12*l**3 - 52*l**3 - 414 + 61*l**3 = 0. Calculate l.
-2, 1, 69
Let l(f) be the first derivative of 3*f**5/10 - 3*f**4/2 - 45*f**3 - 243*f**2 - 1053*f/2 + 925. Factor l(c).
3*(c - 13)*(c + 3)**3/2
Let f(h) be the second derivative of 9*h**5/10 + 161*h**4/2 - 656*h**3/3 + 220*h**2 - 4*h - 1. What is u in f(u) = 0?
-55, 2/3
Factor 5224/9*q - 2/9*q**2 - 3411272/9.
-2*(q - 1306)**2/9
Let g(u) = -3968*u**2 + 3967*u**2 - 3 + 4 + u**4. Let v(m) = 2*m**4 - m**3 + 2*m**2 - 3*m + 3. Let j(b) = 3*g(b) - v(b). Factor j(t).
t*(t - 1)**2*(t + 3)
Let i(q) be the third derivative of q**5/40 - 121*q**4/8 + 120*q**3 + 2245*q**2. Factor i(u).
3*(u - 240)*(u - 2)/2
Suppose -2*h + 36 - 259 = -87*h + 32. Solve 0*m**2 + 0*m + 1/5*m**5 + 3/5*m**4 + 2/5*m**h + 0 = 0 for m.
-2, -1, 0
Suppose 4*s + 8 = -3*c + 22, 2*s = -c + 8. Suppose -3*a + 41 + 3 = 4*k, a + s*k - 33 = 0. Factor -a*u**4 + 6*u**4 - 3*u**2 + 8*u**3 - 2*u**3 - u**2.
-2*u**2*(u - 2)*(u - 1)
Let p(m) be the second derivative of -m**7/21 + 203*m**6/15 - 13459*m**5/10 + 90735*m**4/2 + 418968*m**3 + 1314036*m**2 - 18*m + 16. Factor p(u).
-2*(u - 69)**3*(u + 2)**2
Let i = -47 - 74. Let k = i - -125. Let 2*l + k*l**3 - l**2 - 6*l**3 + 0*l + l**3 = 0. Calculate l.
-2, 0, 1
Suppose g - 10 = -1. Factor -7*n - g + 27 - 2*n + n**2 + 0*n**2.
(n - 6)*(n - 3)
Let p be ((-46380)/(-400))/((-5)/(-25)). Let z = p + -573. Suppose -2 - 13*a - 99/4*a**3 - z*a**4 - 57/2*a**2 = 0. Calculate a.
-2, -2/3, -1/3
Suppose -14 = -57*t + 55*t. Suppose t*y**2 + y**2 + 171*y**5 + 8*y - 8*y**4 - 350*y**5 - 6*y**3 + 177*y**5 = 0. Calculate y.
-2, -1, 0, 1
Let p be (10/(-3) + -1)*-3. Let n be 4/3*p*11/572. Solve -n*r**3 - 2/3*r**2 + 2/3*r**4 + 0 + 0*r + 1/3*r**5 = 0.
-2, -1, 0, 1
Let p(a) be the first derivative of 22*a**6/3 + 196*a**5/5 + 58*a**4 - 16*a**3/3 - 48*a**2 + 1243. Determine t so that p(t) = 0.
-2, -1, 0, 6/11
Suppose -54*k = 129 - 345. Factor -219 - k*z**3 - 224 - 56*z**2 + 4*z + 499.
-4*(z - 1)*(z + 1)*(z + 14)
Solve -2/17*l**4 - 66/17*l**2 + 0*l + 0 + 28/17*l**3 = 0 for l.
0, 3, 11
Suppose 41*a**3 + 16*a**2 - 5*a**3 - 27285*a**5 + 27289*a**5 + 24*a**4 = 0. What is a?
-4, -1, 0
Let m(t) be the second derivative of t**7/840 + t**6/180 - t**5/6 - t**4/4 - 19*t**2/2 + t + 41. Let x(w) be the third derivative of m(w). Solve x(s) = 0.
-10/3, 2
Let p = -11110 - -11112. Factor 0 - 1/4*j**4 + 0*j + j**p - 3/4*j**3.
-j**2*(j - 1)*(j + 4)/4
Let r be ((-756)/9)/(-12) - -2*(-186)/(-42). Solve 3/7*b**2 - r*b - 114/7 = 0.
-1, 38
Let a(c) = -9*c**2 - 2175*c - 620. Let u(q) = -q**2 + 2*q + 1. Let f(p) = -a(p) + 2*u(p). Find b such that f(b) = 0.
-311, -2/7
Let w(a) = a + 17. Suppose -34 = -1872*h + 1874*h. Let r be w(h). Solve 0*t + 4/15*t**4 - 2/15*t**5 - 2/15*t**3 + r*t**2 + 0 = 0 for t.
0, 1
Factor -4*h - 9/5*h**2 - 12/5 - 1/5*h**3.
-(h + 1)*(h + 2)*(h + 6)/5
Let j = 395686 - 3165487/8. Solve 0 - j*c**4 - 1/4*c**2 + 3/8*c**3 + 0*c = 0 for c.
0, 1, 2
Determine j, given that -4*j**4 + 244*j**2 - 672*j + j**3 + 340 + 149 - 57 - j**3 = 0.
-9, 1, 2, 6
Let u(l) be the second derivative of 1/2*l**3 - 7/12*l**4 + 7 - 3/20*l**5 + l**2 + 1/6*l**6 - 4*l. Find p, given that u(p) = 0.
-1, -2/5, 1
Let n(v) be the second derivative of -2*v**4 + 3 - 12*v**2 + 22/3*v**3 + 1/5*v**5 - 2*v. Factor n(o).
4*(o - 3)*(o - 2)*(o - 1)
Let p(q) be the second derivative of -q**6/50 - 3*q**5/20 + 3*q**4/2 + 8*q**3 - 336*q**2/5 + 6229*q. Let p(z) = 0. What is z?
-7, -4, 2, 4
Solve -16/5 - 4/5*w - 4/5*w**5 - 16/5*w**4 + 32/5*w**2 + 8/5*w**3 = 0.
-4, -1, 1
Let j(z) be the second derivative of -z**5/40 - 13*z**4/2 - 676*z**3 + 13*z**2/2 + 100*z. Let n(a) be the first derivative of j(a). Let n(w) = 0. Calculate w.
-52
Let i(z) be the second derivative of -z**4/12 - 5*z**3/3 - 7*z**2 - 13*z. Let y be i(-7). Factor -8*o**3 + o + 18*o**3 - y*o**3 + 2*o**4 + 3*o**2 - o**4.
o*(o + 1)**3
Suppose 9288*h - 166 + 1233*h**3 + 10462*h**3 + 81*h**5 - 1115 - 24627*h**2 + 309 - 1737*h**4 = 0. Calculate h.
2/9, 3, 9
Let l be (13 + (-34)/4)*((-110)/(-45) + -2). Factor 28/9*i + 98/9 + 2/9*i**l.
2*(i + 7)**2/9
Let f be (-9)/(-90) + 21/(-10). Let h be ((-236)/102 - f)*(-24 + 21). Determine m so that 0 - 4/17*m**4 + 6/17*m**3 + h*m**2 + 8/17*m - 2/17*m**5 = 0.
-2, -1, 0, 2
Let m = 339667 + -3056993/9. Factor -1/9*k**3 - m - 7/3*k - 4/3*k**2.
-(k + 1)**2*(k + 10)/9
Let a be ((-4)/18 - (-4)/(-63))/(17/(-238)). Factor 3/4*w**3 + 0 + 0*w + 3/8*w**2 + 3/8*w**a.
3*w**2*(w + 1)**2/8
Let z(g) be the second derivative of -g**6/15 + 27*g**5/10 - 75*g**4/2 + 473*g**3/3 + 726*g**2 + 1945*g. Determine j, given that z(j) = 0.
-1, 6, 11
Let d be (-20)/(-3) - (-6 + 80/12). Let r be 24/15 - (-6)/15. Suppose -8*p**2 + 6*p**3 - p**2 + d*p**4 + 11*p**2 + 0*p**r + 2*p**5 = 0. Calculate p.
-1, 0
Let r be 266/(-35) + 9 + 9/15. Factor 176*m**3 - 25*m**r - 178*m**3 + 17*m**2.
-2*m**2*(m + 4)
Let t(x) be the second derivative of x**6/30 + x**5/4 + x**4/6 - 4*x**3/3 + 11*x + 355. Factor t(i).
i*(i - 1)*(i + 2)*(i + 4)
Let u = -19/630 - -271/630. Factor 4/5*i**3 - 2/5*i**5 - u*i**4 - 2/5 + 4/5*i**2 - 2/5*i.
-2*(i - 1)**2*(i + 1)**3/5
Factor -17*b**2 + 145*b + 104*b - 18*b**2 - b**3 - 53*b - 160.
-(b - 4)*(b - 1)*(b + 40)
Factor 2/7*z**2 + 1188/7*z + 0.
2*z*(z + 594)/7
Let x(w) be the third derivative of w**7/40 - 517*w**6/80 + 5003*w**5/10 - 4176*w**4 - 5184*w**3 - 413*w**2 - 5. What is s in x(s) = 0?
-2/7, 4, 72
Let c = -470 + 473. Solve -21*x - 22*x - 772*x**2 + 4*x + 736*x**2 + 3*x**c = 0.
-1, 0, 13
Let o(x) be the second derivative of -x**5/70 - 13*x**4/42 + 52*x**3/21 + 64*x**2/7 + 2*x - 367. Determine z so that o(z) = 0.
-16, -1, 4
Let c(f) be the third derivative of f**6/720 - f**5/60 + f**4/12 - 2*f**3/9 - 16*f**2 + 2. Factor c(u).
(u - 2)**3/6
Let h(c) be the third derivative of -1/24*c**6 + 5/2