 84*m + 45 - 4*m**4 - 145 - 44 = 0?
-3, 1, 4
Let s = 7063/14129 + 3/28258. Let o be (-28)/(-24) + 4/(-6). Factor -s*j - 1/4*j**4 + 1/4*j**2 + o*j**3 + 0.
-j*(j - 2)*(j - 1)*(j + 1)/4
Let q = 161 - 159. Suppose -81 + 3*g**3 - 27*g**q - 30*g - 39*g - 59*g - 47*g + 256*g = 0. Calculate g.
3
Let u = 56543619/163610 - 3/163610. Factor -3/5*z**3 + u - 1872/5*z + 147/5*z**2.
-3*(z - 24)**2*(z - 1)/5
Let m = -16999/4 + 153095/36. Suppose m*w**2 - 2/9*w**3 + 28/9*w + 0 = 0. What is w?
-1, 0, 14
Let k(n) = 5*n**3 - 14*n**2 - 29*n - 14. Let q = 162 + -129. Let s(j) = -42*j**3 + 111*j**2 + 231*j + 111. Let f(o) = q*k(o) + 4*s(o). Factor f(i).
-3*(i + 1)*(i + 2)*(i + 3)
Let a = 237/419 - 292/1257. What is v in -a*v**2 - v - 2/3 = 0?
-2, -1
Let t(q) = 9522*q**3 - 19324*q**2 + 554*q - 120. Let u(h) = -9522*h**3 + 19325*h**2 - 554*h + 149. Let o(v) = 5*t(v) + 4*u(v). Factor o(a).
2*(a - 2)*(69*a - 1)**2
Find y, given that 1788/5*y + 399618/5 + 2/5*y**2 = 0.
-447
Suppose -9*r + 1012 + 428 = 0. Let p be r/315 + 6/(-27). Factor p*z**2 - 1/7*z**3 + z + 4/7.
-(z - 4)*(z + 1)**2/7
Let w be ((-11286)/(-1701))/(-22) - 12/(-27). Suppose 6 = s + 1. Factor 2/7*l**2 + w*l - 1/7*l**4 - 2/7*l**3 + 1/7*l**s - 1/7.
(l - 1)**3*(l + 1)**2/7
Suppose -4*r = -4*h + 28, -4*h + 16 = 715*r - 716*r. Let o = 116 - 334/3. What is m in -4/3*m**2 + 4/3 - 14/3*m + o*m**h = 0?
-1, 2/7, 1
Let r = 16 + -7. Suppose c = 2*v + 14, -9*c + 109 = -33*v + 32*v. Factor r*i**2 + 9*i**2 + 14 - c*i - 20*i**2.
-2*(i - 1)*(i + 7)
Let j be ((-10)/2)/(-6 - 245/(-42)). Suppose 0 = 29*h - j*h + 520. Factor 4*v**5 - h*v**3 + 4*v**4 + 520*v**3.
4*v**4*(v + 1)
Let a be ((-6678)/(-147))/(-53)*(-8)/12. Factor 0 + a*f - 2/7*f**3 - 2/7*f**2.
-2*f*(f - 1)*(f + 2)/7
Suppose 15*j - 1728 = -21*j. Let l be j/216 + 556/90. Determine w, given that 128/5 + 2/5*w**2 + l*w = 0.
-8
Let m(k) be the first derivative of 3*k**4/16 + 25*k**3/4 + 159*k**2/4 + 90*k - 2261. Factor m(h).
3*(h + 2)*(h + 3)*(h + 20)/4
Let 131/9*b**3 - 32 + 20/9*b**4 - 44/3*b + 1/9*b**5 + 268/9*b**2 = 0. Calculate b.
-8, -6, -1, 1
Let y be -1*(1 + ((-48)/8 - -2)). Let b(f) = f + 6. Let v be b(-4). What is o in -2/3*o**v - 4/3*o**y - 2/3 + 5/3*o - 1/3*o**5 + 4/3*o**4 = 0?
-1, 1, 2
Let c(x) be the second derivative of -48*x - 6*x**2 + 1/4*x**4 + 0 + 3/2*x**3. Factor c(m).
3*(m - 1)*(m + 4)
Let g be (-2)/(-5) - (-32)/20. Let n be g*(152/16 + -7). Let -26/15*q**3 - 2/15*q**n - 8/5*q**2 - 8/15*q - 4/5*q**4 + 0 = 0. Calculate q.
-2, -1, 0
Suppose 2*z + 3*z + i = 25, -3*z + 5*i + 43 = 0. Let c = -6 - -22. Suppose -20*h - 198*h**2 + 5*h**4 - z*h**3 + c*h**3 + 183*h**2 + 20 = 0. What is h?
-2, 1
Let j = -1693 + 1699. Suppose -3*d = j, -15 = 2*w + 5*d - 9. Factor -3/4*k**3 - 27/4*k - 9/2*k**w - 3.
-3*(k + 1)**2*(k + 4)/4
Let c(s) be the first derivative of s**4/22 + 16*s**3/33 + 5*s**2/11 - 28*s/11 - 1161. Factor c(l).
2*(l - 1)*(l + 2)*(l + 7)/11
Let m be (42/(-35))/(648/80 + -8). Let x be (-30)/m - (4 + (-15)/2). Let -x + 21/5*o - 3/5*o**2 = 0. What is o?
2, 5
Suppose 31*x = 26*x + 70. What is u in 317*u**2 + x + 34 - 640*u**2 + 320*u**2 = 0?
-4, 4
Let m = -255 + 2809/11. Let b(t) = t**2 + 79*t - 11094. Let c be b(73). Factor 0 + 6/11*x**c + 2/11*x**3 + m*x.
2*x*(x + 1)*(x + 2)/11
Let y be 2 + -3 - (5072/(-630))/8. Let q = 311/630 + y. Determine x so that -1/4*x**2 - 3/4*x - q = 0.
-2, -1
Let i(v) be the second derivative of -v**7/1260 - v**6/180 - v**5/90 + v**3/3 + 29*v**2 - 11*v + 13. Let d(f) be the second derivative of i(f). Factor d(y).
-2*y*(y + 1)*(y + 2)/3
Let z(n) be the third derivative of n**7/1260 - 23*n**6/720 + 89*n**5/180 - 43*n**4/12 + 10*n**3 - 2035*n**2. Factor z(k).
(k - 10)*(k - 6)**2*(k - 1)/6
Factor 85*o**2 + 90*o**2 - 3222*o - 170 - 6*o**4 + 165*o**3 + o**4 + 3057*o.
-5*(o - 34)*(o - 1)*(o + 1)**2
Let o(y) = -4*y - 78. Let u be o(-23). Solve -5*n**2 + 0*n**2 + 4*n**2 - 7*n**3 + 22*n**4 - u*n**4 = 0.
-1/8, 0, 1
Let r(x) be the second derivative of x**5/90 + x**4/54 - 25*x**3/27 - 25*x**2/9 - 4*x - 101. Solve r(a) = 0.
-5, -1, 5
Let z(x) = -x**2 + 3*x - 1. Let q be z(2). Let g = 1 + q. Factor 6 + 3*c**2 - c**g + c**2 - 9*c.
3*(c - 2)*(c - 1)
Let g(i) = -2*i**2 + 108*i + 1152. Let l be (5 - 77/14)/(2/(-20)). Let u(y) = 3*y**2 - 111*y - 1152. Let n(s) = l*g(s) + 4*u(s). Factor n(b).
2*(b + 24)**2
Solve 72/5*k + 1/5*k**2 + 0 = 0 for k.
-72, 0
Let k(f) be the second derivative of -f**4/48 - 1009*f**3/12 + 4*f + 1491. Factor k(w).
-w*(w + 2018)/4
Let g(z) = 16*z**4 + 179*z**3 - 1313*z**2 + 1981*z - 929. Let b(s) = -6*s**4 - 60*s**3 + 440*s**2 - 660*s + 310. Let t(i) = 11*b(i) + 4*g(i). Factor t(x).
-2*(x - 17)*(x - 9)*(x - 1)**2
Let f = -258 + 260. Suppose f*z + 160 = 164. Determine h, given that 0 - 4/7*h - 4/7*h**z + 8/7*h**3 = 0.
-1/2, 0, 1
Let j(t) be the second derivative of -t**5/190 + 20*t**4/19 + 121*t**3/57 - 3207*t. Factor j(n).
-2*n*(n - 121)*(n + 1)/19
Determine r so that -2/5*r**4 - 1233/5*r - 23*r**3 - 459/5 - 687/5*r**2 = 0.
-51, -3, -1/2
Suppose -8*t - 43 = -13*t - 3*d, -35 = -4*t - 3*d. Factor -83*s + 250*s - 7*s**3 - 45*s**2 + 195*s - 3375 + 313*s + t*s**3.
(s - 15)**3
Suppose -x = 5*b + 33, -x - 9 = 15*b - 14*b. Let y be (285/(-30))/19 - b/8. Factor 3/4*i**2 + 1/2 - y*i**3 + 5/4*i - 1/4*i**4.
-(i - 2)*(i + 1)**3/4
Let y be 4/6*(-36)/(-15). Let o = 941809 + -941807. Factor o*t**2 - 2/5 - y*t.
2*(t - 1)*(5*t + 1)/5
Let o(r) be the third derivative of -8/15*r**5 + 1/30*r**6 + 19 + 7/2*r**4 - 12*r**3 + 0*r - r**2. Suppose o(z) = 0. Calculate z.
2, 3
Solve 0 + 26*y + 20/3*y**2 - 2/3*y**3 = 0.
-3, 0, 13
Factor 12*p**4 - 54*p**4 + 5*p**3 + 38*p**4 + 10*p**3.
-p**3*(4*p - 15)
Let r = 46 + -44. Suppose -4*b - r*f = 0, -7*b + 5*f + 22 = -6*b. Let 3 + 68*y**3 - b*y**2 - 3 - 69*y**3 = 0. What is y?
-2, 0
Let o(q) = q**3 - 1245*q**2 + 3722*q + 12. Let h be o(3). Let -1/3*v**2 - 1/6*v**3 + h*v + 0 = 0. Calculate v.
-2, 0
Let j(k) be the first derivative of 1/27*k**3 - 1/6*k**2 + 9 + 0*k. Determine r so that j(r) = 0.
0, 3
Let i be 4/(7/(126/8)) + (-17 - -10). Let l(s) be the first derivative of -4 - 9/5*s**i - 1/5*s**3 - 27/5*s. Factor l(a).
-3*(a + 3)**2/5
Suppose -4*y - o = -19, 1722*y - 1726*y + 13*o = 79. Factor -2*q**4 - 3/2 - 17/2*q**2 - 6*q**y - 23/4*q - 1/4*q**5.
-(q + 1)**3*(q + 2)*(q + 3)/4
Factor 17578 - 2682*m - 1815859 - 115467*m**2 + 115466*m**2.
-(m + 1341)**2
Factor 0 - 4/3*w**4 + 0*w + 160/3*w**2 + 4*w**3.
-4*w**2*(w - 8)*(w + 5)/3
Let o = 267086/33 + -24280/3. Factor -o*w**3 + 2*w**2 + 50/11 - 70/11*w.
-2*(w - 5)**2*(w - 1)/11
Let i(g) be the first derivative of -4/9*g**3 + 0*g + 0*g**2 + 55 + 1/12*g**4. Determine d so that i(d) = 0.
0, 4
Suppose 2*q + 5*z + 20 = 0, -5*q - 11*z + 9*z = 8. Factor -78/5*j**3 + q - 798/5*j**2 - 722/5*j - 2/5*j**4.
-2*j*(j + 1)*(j + 19)**2/5
Let r(a) be the first derivative of -17*a**3/9 + 59*a**2/6 + 4355. Solve r(w) = 0 for w.
0, 59/17
Let k(b) = 2*b**2 - 38*b + 5. Let s be k(19). Suppose -s*z + 0*z - 15 = -4*l, 0 = 5*z + l - 10. Factor -11*v + v**3 + 1 - z + 10*v.
v*(v - 1)*(v + 1)
Let n be (-45)/(-35) + 3 - (-2)/(-7). Factor -134*z**2 + 480*z - 126*z**2 - 72 - 5*z**n - 7*z**3 - 248 + 67*z**3.
-5*(z - 4)**2*(z - 2)**2
Let x be (-1641)/(-138) + (-5)/(30/24). Let n = x - -14/23. Suppose 3 + 7*o**2 + 3/2*o**3 + n*o = 0. Calculate o.
-3, -1, -2/3
Suppose -2*m - 25 = 2*j - 31, 3*m - 9 = -5*j. Let r be (-66)/(-77)*m/2. Find q such that r - 6/7*q + 1/7*q**2 = 0.
3
Let o(u) be the first derivative of 59*u**4/6 + 98*u**3/9 - 10*u**2/3 + 1269. Find b, given that o(b) = 0.
-1, 0, 10/59
Let t(n) = -n**3 + 28*n**2 + 130*n - 62. Let p be t(32). Suppose -4*g + 2*m = 2, -27*g - p*m + 4 = -30*g. Factor -5*o + 25/6*o**g + 3/2.
(5*o - 3)**2/6
Let t(c) be the first derivative of -c**5/20 + 11*c**4/16 - 2*c**3/3 - 5*c**2/2 - 792. Factor t(n).
-n*(n - 10)*(n - 2)*(n + 1)/4
Let g(z) = -z**3 + 245*z**2 - 35*z - 251. Let f(x) = -5*x**3 + 1470*x**2 - 205*x - 1505. Let s(i) = 6*f(i) - 35*g(i). What is c in s(c) = 0?
-49, -1, 1
Let f(y) be the second derivative of -9/8*y**2 + 8*y - 3/5*y**5 + 0 + 23/8*y**3 - 5/2*y**4. Factor f(z).
-3*(z + 3)*(4*z - 1)**2/4
Let g(l) be the second derivative of -l**6/50 - 33*l**5/50 - 8*l**4 - 192*l**3/5 + 242*l + 13. Factor g(q).
-3*q*(q + 6)*(q + 8)**2/5
Let b = 837989/471384 + 3