 Let w(d) = 0. What is d?
-4, -2, -1, 1
Suppose 0 = 5*y - r + 5, -5*y - 5*r - 5 = -0*r. Let a be ((-44)/275)/((-9)/(-15) + y). Factor 16/5 + 24/5*u + 12/5*u**2 + a*u**3.
2*(u + 2)**3/5
Let h(x) = -5*x**2 - 195*x + 734. Let a(q) = -q**2 - 2*q + 3. Let m(w) = -6*a(w) + h(w). Solve m(t) = 0.
4, 179
Let p(w) be the third derivative of -w**5/720 + 23*w**4/96 + 133*w**3/18 + 99*w**2 + 10*w - 1. Factor p(d).
-(d - 76)*(d + 7)/12
Let x(v) be the third derivative of -v**5/20 + 51*v**4/8 + 53*v**3 + 982*v**2. Determine i, given that x(i) = 0.
-2, 53
Solve 164/5*h**4 - 76/5*h**3 + 136/5*h - 12*h**5 - 32/5 - 132/5*h**2 = 0 for h.
-1, 2/5, 1, 4/3
Let 369/5*q**2 - 1989*q - 17745 - 3/5*q**3 = 0. What is q?
-7, 65
Let i(l) be the first derivative of 2/27*l**3 - 31 + 28/9*l - 5/3*l**2. Suppose i(m) = 0. What is m?
1, 14
Suppose l + 902 = 3*m + m, 0 = 3*l - 5*m + 2706. Let q = -3605/4 - l. Factor -q*t**3 + 0 - 3/2*t + 9/4*t**2.
-3*t*(t - 2)*(t - 1)/4
Let o(j) be the first derivative of -j**3/15 - 11*j**2/5 - 21*j + 2169. Suppose o(b) = 0. Calculate b.
-15, -7
Let o(m) = -19*m**3 + 176*m**2 - 937*m + 770. Let r(u) = 11*u**3 - 88*u**2 + 469*u - 386. Let p(i) = -6*o(i) - 10*r(i). Determine j, given that p(j) = 0.
1, 5, 38
Factor -7000*n**3 - 324*n**4 - 1296 - 28852*n**2 - 9126*n + 1024*n**3 - 2826*n.
-4*(n + 9)**2*(9*n + 2)**2
Let p = 185938/5 + -557812/15. Let p*x**2 + 0 + 94/15*x = 0. Calculate x.
-47, 0
Suppose -3*a + a - 74 = o, 4*o = 3*a + 133. Let s = a - -64. Find t such that t**4 - 9*t**3 - t**4 - 3*t**4 + s*t**2 - 31*t**2 = 0.
-2, -1, 0
Let d(n) = -3*n**2 + 48*n - 102. Let a(u) = 3*u**2 - 52*u + 107. Let m(f) = -6*a(f) - 5*d(f). Suppose m(q) = 0. What is q?
2, 22
Let v(l) be the third derivative of -l**7/1260 - 17*l**6/180 - 289*l**5/60 + 97*l**4/24 + 22*l**2. Let r(o) be the second derivative of v(o). Factor r(i).
-2*(i + 17)**2
Let f = 255364/21 + -12160. Let x(d) be the first derivative of 0*d + 0*d**2 + 5 + f*d**3. Factor x(r).
4*r**2/7
Let x = -24/3191 - -25648/15955. Find z, given that -284/5*z**3 + 12*z + 36*z**4 + x + 36/5*z**2 = 0.
-2/9, -1/5, 1
Let g be 494/1235*1/(-13)*-5. Solve 118/13*x**3 - 2280/13*x**2 - g*x**4 + 13600/13*x + 16000/13 = 0.
-1, 20
Factor -2*k**3 + 72*k - 564 + 92*k**2 + 6*k - 2*k + 30*k.
-2*(k - 47)*(k - 2)*(k + 3)
Let n be (-107797)/(-2261) + -46 - 2/19. Suppose n*v - 10/7 - 1/7*v**2 = 0. What is v?
1, 10
Suppose 2*p - 359 = -40*n + 35*n, 4*n - 2*p - 280 = 0. Let -10*k + 20*k**4 + n*k - 121*k + 225*k**3 - 185*k**2 = 0. What is k?
-12, -1/4, 0, 1
Let y = -33886 - -169462/5. Solve 0*u - y + 2/5*u**2 = 0.
-4, 4
Factor 2/11*w**2 - 2/11*w**3 + 0 + 12/11*w.
-2*w*(w - 3)*(w + 2)/11
Let z(x) be the second derivative of 0*x**6 + 1/441*x**7 + 4*x + 0*x**5 + 1 + 0*x**2 + 0*x**3 + 0*x**4. Factor z(y).
2*y**5/21
Let o be ((-3)/315)/((2115/675)/(-47)). Determine p, given that p - 6/7*p**2 - o*p**3 + 0 = 0.
-7, 0, 1
Let g = 382/7 + -428/7. Let a = g + 244/35. Factor 0 + a*u**2 + 2/5*u.
2*u*(u + 1)/5
Factor 2/9*d**4 + 2*d**3 + 0*d + 28/9*d**2 + 0.
2*d**2*(d + 2)*(d + 7)/9
Suppose 0 = s - 39 - 87. Let k be 5 - (-1)/(s/34 + -4). Let 12/5*g - 4/5*g**2 - k = 0. What is g?
1, 2
Factor 224/3*a - 1/3*a**2 + 0.
-a*(a - 224)/3
Let i be 9052/3472 - 80/(-70). Find x, given that -3/4*x**3 + 3*x**2 + i*x + 0 = 0.
-1, 0, 5
Let z(q) be the first derivative of -38 + 0*q + 1/35*q**5 - 25/28*q**4 + 0*q**3 + 0*q**2. Find x such that z(x) = 0.
0, 25
Let g(s) be the first derivative of 2*s**6/3 + 7*s**5/4 - 15*s**4/2 - 70*s**3/3 + 20*s**2 - 47*s - 92. Let k(w) be the first derivative of g(w). Factor k(n).
5*(n - 2)*(n + 2)**2*(4*n - 1)
Let w = -3961/5040 - -93/112. Let d(h) be the third derivative of -w*h**5 + 0*h**3 + 0*h + 0 - 1/180*h**6 - 1/9*h**4 - 30*h**2. Suppose d(j) = 0. Calculate j.
-2, 0
Determine x, given that 23/2*x - 4*x**2 + 15 - 1/2*x**3 = 0.
-10, -1, 3
Let x = -234 + 167. Let l = x - -70. Let -4*o**2 + l*o**2 + 0*o**2 = 0. What is o?
0
Let v = 230 + -150. Suppose -c**3 - 4*c**3 - 8*c**2 - 113 + 17 + c**3 + v*c = 0. What is c?
-6, 2
Factor 2895*h**2 + 607*h + 460*h**3 - 365*h + 834*h + 3334*h - 5*h**4.
-5*h*(h - 98)*(h + 3)**2
Let o(g) be the third derivative of 0*g**3 + 27*g**2 + 0*g**4 + 0*g + 1/21*g**8 - 7/15*g**5 + 6/5*g**6 - 22/35*g**7 + 0. Find q such that o(q) = 0.
0, 1/4, 1, 7
Find k such that -39*k**2 - 24*k + 3*k**3 - 4*k + 61*k**2 - 40*k**2 + 7*k = 0.
-1, 0, 7
Let s(d) be the second derivative of -d**7/6720 + d**6/192 + 2*d**4 - 7*d**3/6 - 2*d + 152. Let w(n) be the third derivative of s(n). Factor w(v).
-3*v*(v - 10)/8
Suppose -5*v = 5*t - 150, -v - 26 = -2*v + 3*t. Suppose -v = -13*s + 88. Factor -s + 16*n + 49 - 28 + 4*n**2.
4*(n + 1)*(n + 3)
Let z(q) = -12*q**5 - 24*q**4 + 2*q**3 + 26*q**2 + 10*q - 4. Let m(p) = 2*p**4 - p**3 - p**2 + p - 2. Let d(u) = 2*m(u) - z(u). What is a in d(a) = 0?
-2, -1, -1/3, 0, 1
Solve 6/7*l**3 - 94/7*l**2 + 216/7*l - 104/7 = 0.
2/3, 2, 13
Suppose -u - 27 = -5*j, -4*j + 20*u - 15*u + 30 = 0. Let k be (-7)/(-8) + -1 - j/(-40). Factor 0 + k*w + 2/7*w**4 - 4/7*w**3 + 2/7*w**2.
2*w**2*(w - 1)**2/7
Let y(b) be the second derivative of -25/2*b**3 - 7*b + 0*b**2 - 5/72*b**4 + 0. Factor y(r).
-5*r*(r + 90)/6
What is h in 0 + 546/5*h - 27/5*h**3 + 2451/5*h**2 = 0?
-2/9, 0, 91
Let l(q) be the third derivative of -q**8/2016 - q**7/315 + q**6/90 + 49*q**5/60 - 93*q**2. Let p(v) be the third derivative of l(v). Find y such that p(y) = 0.
-2, 2/5
Let p be -1*-1*(-8)/(-6)*3. Determine g, given that -16*g**2 + p*g**3 - 4 - 18 + 22 = 0.
0, 4
Let k(d) be the second derivative of 27*d + 0 + 0*d**3 + 39/2*d**2 - 1/60*d**6 + 1/15*d**5 + 1/4*d**4. Let p(u) be the first derivative of k(u). Factor p(y).
-2*y*(y - 3)*(y + 1)
Let a = 1579193 - 1579190. Factor 0*x + 1/6*x**2 + 0 - x**4 - 5/6*x**a.
-x**2*(x + 1)*(6*x - 1)/6
Let v(x) be the second derivative of -3*x**5/20 + 21*x**4/4 + 45*x**3/2 + 69*x**2/2 - 1577*x + 1. Let v(d) = 0. What is d?
-1, 23
Suppose 0 - 4 = -2*s. Let a = -954 - -957. Factor 2*h + 4*h**s + 7*h + 8*h**2 + 3*h**a.
3*h*(h + 1)*(h + 3)
Let z = -192/151 - -9367/7248. Let w(u) be the second derivative of 0 + 0*u**2 + z*u**4 - 18*u - 1/120*u**6 + 0*u**3 + 0*u**5. Solve w(o) = 0 for o.
-1, 0, 1
Factor -5050/7*y**2 - 3185286/7*y + 3190338/7 - 2/7*y**3.
-2*(y - 1)*(y + 1263)**2/7
Factor -48 - 22/3*k**3 - 2/9*k**4 - 116/3*k**2 - 664/9*k.
-2*(k + 2)**3*(k + 27)/9
Factor -7/4*b**3 - 1/8*b**4 - 13/2*b**2 - 27/8 - 33/4*b.
-(b + 1)**2*(b + 3)*(b + 9)/8
Determine p, given that 29/3*p**2 - 55/3*p - 1/3*p**3 + 9 = 0.
1, 27
Let j(h) be the second derivative of h**5/40 - 39*h**4/8 + 1521*h**3/4 + 102*h**2 - 7*h - 2. Let k(a) be the first derivative of j(a). Factor k(s).
3*(s - 39)**2/2
Solve 4/5*q**2 - 2604/5 + 856/5*q = 0.
-217, 3
Let n = 17058 - 153514/9. Let 2/9*k**2 + n*k - 10/9 = 0. Calculate k.
-5, 1
Suppose 7 - 16 = 3*l + 5*k, -2*k = 5*l - 4. Determine g so that -l*g**2 - 7*g - 10*g - 8*g + 17*g = 0.
-4, 0
Let m = -86941/12 - -28983/4. Determine g, given that m*g**2 + 0 + 58/3*g = 0.
-29, 0
Let a(u) be the first derivative of 8*u**5/5 - 3*u**4/2 - 31*u**3/3 - 6*u**2 + 5*u + 3249. Factor a(r).
(r + 1)**2*(2*r - 5)*(4*r - 1)
Suppose m = s + 17, -4*m + 538 = -s + 506. What is q in -47*q**3 + 11/5*q**2 + 5324/5 + 3872/5*q + 29/5*q**4 - 1/5*q**m = 0?
-2, 11
Factor 106564 + 467*t - 41584 - 621*t + 5*t**2 - 986*t.
5*(t - 114)**2
Suppose -464*g + 467*g - 255 = 0. Let 2*y**2 + 3*y**2 + g + 35 - 41*y - 9*y = 0. What is y?
4, 6
Let p(n) be the first derivative of -2*n**3/9 - 355*n**2/3 + 476*n + 2615. Let p(b) = 0. Calculate b.
-357, 2
Factor 4*p**4 - 780*p**2 - 20425730 + 20425730 - 776*p**3.
4*p**2*(p - 195)*(p + 1)
Let j(h) be the first derivative of 150 - 5/26*h**4 + 4/13*h**2 + 4/65*h**5 - 20/39*h**3 + 16/13*h + 1/39*h**6. Solve j(l) = 0.
-2, -1, 1, 2
Let y be (0 - -1)/((-56)/(-168)). Suppose 2*o + y*h + 9 = 0, 5*o + h + h = -6. Let o - 28/3*j - 8/3*j**2 = 0. What is j?
-7/2, 0
Let q(h) be the second derivative of h**8/2016 - h**6/360 + h**4/144 + 3*h**2/2 + 56*h. Let k(w) be the first derivative of q(w). Factor k(z).
z*(z - 1)**2*(z + 1)**2/6
Let z(x) be the first derivative of -x**4/20 + 4*x**3/3 - 53*x**2/10 + 34*x/5 - 2234. Determine o, given that z(o) = 0.
1, 2, 17
Let x(j) = -6*j**2 + 266*j + 92. Let r(v) = 12*v**