b**2 + 336 = 0. What is b?
-28/3, 8
Let i(t) = -t**2 + 17*t + 2. Suppose -34 = 2*y - 4*y. Let z be i(y). Factor -6*r**4 + 8*r**4 - 8*r**3 + 0*r**3 + 8*r**z.
2*r**2*(r - 2)**2
Let t be (-7 - 837/(-117)) + (-141900)/(-14586). Factor 2/17*p**3 - 43904/17 + 4704/17*p - t*p**2.
2*(p - 28)**3/17
Let j(q) = q**4 - 15*q**3 - q - 1. Let p(x) = 70*x**4 - 1025*x**3 - 645*x**2 + 1275*x - 75. Let y(u) = -75*j(u) + p(u). Factor y(w).
-5*w*(w - 9)*(w - 6)*(w - 5)
Suppose -3*r - v = -84, 4*r + 3*v = -0*v + 112. Factor 63*d**2 + 7*d - 47*d**2 + 63 - r*d**2 + 17 + 21*d.
-4*(d - 4)*(3*d + 5)
Let l(r) be the first derivative of -r**3 - 24*r**2 - 84*r + 1552. Determine z so that l(z) = 0.
-14, -2
Factor -434 + 4*p**2 + 179 - 142 - 503.
4*(p - 15)*(p + 15)
Let a(h) = -4*h**3 + 128*h**2 - 3*h + 3. Let i(q) = -q**3 - 15*q**2 - q + 1. Let z(k) = a(k) - 3*i(k). Factor z(u).
-u**2*(u - 173)
Suppose -14*i + 550 = 8*i. What is m in -127*m**3 + 69*m**3 + 63*m**3 + i*m - 30*m**2 = 0?
0, 1, 5
Let m be (3/(18/(-13)) - -2)/((-13855)/5542). Let c(j) be the first derivative of -7/30*j**4 + 0*j + 4/45*j**3 + 8/75*j**5 + m*j**2 + 41. Factor c(b).
2*b*(b - 1)**2*(4*b + 1)/15
Suppose -29*h - 936 = -1023. Factor -k**3 + h*k**2 - 1/3*k**4 + 0 + 9*k.
-k*(k - 3)*(k + 3)**2/3
Let b(j) be the second derivative of j**6/30 - 7*j**5/20 - 145*j**4/12 + 7*j**3/6 + 72*j**2 - 11751*j. Find l such that b(l) = 0.
-9, -1, 1, 16
Let i(p) be the third derivative of 176*p**2 + 1/200*p**6 + 0 + 8/5*p**3 + 37/20*p**4 + 81/100*p**5 - 1/14*p**7 - 3/560*p**8 + 0*p. Let i(b) = 0. What is b?
-8, -1, -1/3, 2
Let i(a) be the third derivative of a**6/660 + 20*a**5/33 - a**4/132 - 200*a**3/33 + 610*a**2. Factor i(v).
2*(v - 1)*(v + 1)*(v + 200)/11
Suppose 9929387*g - 9929425*g = -152. Find r, given that 5/2*r**5 + 15/2*r**2 - 2*r + 0 - 39/4*r**g - 11/4*r**3 = 0.
-1, 0, 2/5, 1/2, 4
Let p(b) be the first derivative of -3*b**4/4 + 1326*b**3 - 879138*b**2 + 259052664*b - 1135. Factor p(t).
-3*(t - 442)**3
Let i be (-24)/28*(-6 - (-12)/9). Find z, given that i*z**4 + 18*z**2 + 20*z**2 - 20*z**3 - 16*z - 6*z**2 = 0.
0, 1, 2
Let o(u) be the first derivative of u**3/3 + 27*u**2/2 + 140*u - 231. Let x be o(-20). Factor -1/4*q**2 + 0*q**3 + 1/4*q**4 + 1/8*q - 1/8*q**5 + x.
-q*(q - 1)**3*(q + 1)/8
Factor 72*s**3 - 10440*s - 63075/2 - 429*s**2 - 3/2*s**4.
-3*(s - 29)**2*(s + 5)**2/2
Let m be 33 + ((-3149)/2)/47 + 7/2 + 0. Suppose 21/5*v - 4*v**2 + 0 - 1/5*v**m = 0. Calculate v.
-21, 0, 1
Suppose 4*k - 1864 = 3*h + 3036, 0 = 4*h + 3*k + 6525. Let m = -1630 - h. What is l in -2/3*l**3 + 2/3*l - 2 + 2*l**m = 0?
-1, 1, 3
Let r(n) be the third derivative of -n**5/60 - 7*n**4/24 - 5*n**3/2 - 76*n**2. Let x(g) = -2*g**2 + g. Let u(o) = r(o) - 3*x(o). Factor u(t).
5*(t - 3)*(t + 1)
Let p = 8 - 2. Solve -4*l**3 + p*l - 6 - 2*l**3 + 5*l + 6*l**4 - l**5 - 4*l**3 = 0.
-1, 1, 2, 3
Solve 1315/3*v**2 - 55/3*v**4 + 65/3*v**3 - 5/3*v**5 - 560*v - 960 = 0 for v.
-8, -1, 3
Let c(z) be the first derivative of z**5 + 5*z**4 - 305*z**3/3 + 410*z**2 - 660*z + 2005. Solve c(j) = 0.
-11, 2, 3
Let -493*q + 144650 - 3130*q**2 + 3134*q**2 + 2677750 + 7213*q = 0. What is q?
-840
Let d(b) = -6*b**3 + 759*b**2 - 2748*b + 2481. Let w(z) = z**3 - 138*z**2 + 500*z - 451. Let u(n) = -5*d(n) - 27*w(n). Factor u(p).
3*(p - 19)*(p - 2)**2
Let p = 8/167085 + 3208024/167085. What is r in -p*r**3 - 93/5 + 18*r**2 + 3/5*r**4 + 96/5*r = 0?
-1, 1, 31
Let m(c) be the second derivative of c**7/147 + 4*c**6/105 - 11*c**5/70 + c**4/7 + 160*c - 1. Factor m(f).
2*f**2*(f - 1)**2*(f + 6)/7
Let n = -6 - -32/5. Let m be ((-5)/(-75))/(66/3960). Find c, given that 8/5*c**m + 2*c - n*c**5 - 8/5*c**3 - 4/5 - 4/5*c**2 = 0.
-1, 1, 2
Let i(v) be the first derivative of -3*v**4/4 - 355*v**3 - 531*v**2 + 4813. Factor i(b).
-3*b*(b + 1)*(b + 354)
Solve 0 - 21/5*x**4 + 0*x - 3/5*x**5 - 3*x**2 - 33/5*x**3 = 0.
-5, -1, 0
Let q be ((-63)/3 - -8) + 12. Let h(j) = -j**3 - 6*j**2 - 9*j - 4. Let a be h(q). Factor -4/5*f**2 + 2/5*f**4 + a*f + 0 + 2/5*f**3.
2*f**2*(f - 1)*(f + 2)/5
Let n = -678941/6 - -113161. Factor -9/2*r**2 - 4/3 - 1/6*r**4 - n*r - 11/6*r**3.
-(r + 1)**3*(r + 8)/6
Let -1352/7 + 1248/7*l + 102/7*l**2 + 2/7*l**3 = 0. What is l?
-26, 1
Suppose 1055*r - 1538*r + 966 = 0. Let 1/3*j**2 - r*j + 3 = 0. Calculate j.
3
Suppose 2*q + 8 = -c - 2*q, 0 = 2*c + 2*q - 8. Let a = 116 - 114. Factor 8 + 12*h**a - 39*h**2 + 17*h**2 + c*h + 12*h**2.
2*(h + 2)**2
Suppose 0 = -7*v + 8*v - 1, -2*g + 371 = 3*v. Suppose -g*f - 24 = -192*f. Factor 9/5*i**2 + 3*i - 3/5*i**f - 3/5*i**4 + 6/5.
-3*(i - 2)*(i + 1)**3/5
Determine m, given that 2*m**3 + 154*m + 173 + 92 - 69 + 32*m**2 = 0.
-7, -2
Let w = 30 - 19. Suppose w*h + 490 = 13*h. Suppose -67*v**2 - 78*v**2 + h + 150*v**2 + 70*v = 0. What is v?
-7
Suppose 0 = -5*h + 3*v + 269 + 276, -5*h - 5*v = -505. Let l = h - 310/3. Solve 14/3*k**2 + 4/3*k + l*k**3 - 8/3*k**4 + 0 = 0 for k.
-1/2, 0, 2
Let c(t) be the third derivative of 63*t**2 + 2 + 7/108*t**4 + 1/9*t**3 + 1/540*t**6 + 0*t + 1/54*t**5. Let c(u) = 0. Calculate u.
-3, -1
Suppose -392/9*q - 118/9*q**3 + 128/9 + 2/3*q**4 + 376/9*q**2 = 0. Calculate q.
2/3, 1, 2, 16
Find n, given that -1473/2*n + 92 + 4*n**2 = 0.
1/8, 184
Let m = -214712 - -1073562/5. Let z be ((-8)/(-3))/((-10)/(-6)). What is j in -2*j + m*j**2 + z = 0?
1, 4
Let o = 520769/9 + -57863. Let o*p**2 + 4/9 - 2/3*p = 0. What is p?
1, 2
Let l be 1*-2 - ((-4294)/(-3729))/(4/(-44)). Determine z, given that -160/9*z**2 + 32/3*z**3 + l*z + 0 - 8/3*z**4 + 2/9*z**5 = 0.
0, 2, 6
Let v(y) be the third derivative of 0 - 4/45*y**5 + 0*y - 50*y**2 - 1/36*y**4 + 1/15*y**6 + 1/9*y**3. Factor v(k).
2*(2*k - 1)**2*(3*k + 1)/3
Let j(v) = -7*v**4 - 11*v**3 - 78*v**2 - 50*v + 128. Let d be 37 - 5/((-40)/(-56)). Let f(s) = -s**4 + s**3 - 3*s. Let c(o) = d*f(o) - 5*j(o). Factor c(a).
5*(a - 1)*(a + 2)*(a + 8)**2
Let j(y) be the second derivative of -y**4/24 - 23*y**3 + 139*y**2 - 4*y - 68. Solve j(k) = 0 for k.
-278, 2
Let j be 4/(-6) + (-77)/(-21). Suppose 4*v - 2*c + j*c - 60 = 0, -v - 5*c = -15. Factor 4*i**3 - 11*i**3 - 10*i + i**3 + v*i**2 + i**3.
-5*i*(i - 2)*(i - 1)
Let 0 + 0*b + 37/4*b**4 + 7/4*b**5 - 8*b**3 - 3*b**2 = 0. Calculate b.
-6, -2/7, 0, 1
Let j(a) = -4*a - 21. Suppose 5*s + 35 = -v, 0*s - 3*s - 28 = 2*v. Let c be j(s). Suppose -10*z + 4*z**3 + 6 + z - z**c = 0. Calculate z.
-2, 1
Let r(o) be the second derivative of -5/12*o**4 + 25/6*o**3 - 76*o + 0*o**2 + 0. What is w in r(w) = 0?
0, 5
Suppose 26*g = 231 + 393. Let n be 1 - (g/(-90))/(2/(-3)). Factor -n*j - 1/5*j**3 + j**2 - 9/5.
-(j - 3)**2*(j + 1)/5
Let c = 1352 - 1317. Let i be (0 - -2 - 2)*(c - 34). Factor 0*o**3 + 1/5*o - 2/5*o**4 + i - 1/5*o**5 + 2/5*o**2.
-o*(o - 1)*(o + 1)**3/5
Determine q so that -1/2*q**2 + 684 + 29*q = 0.
-18, 76
Suppose 5*q = -2*k + 4, 4*q - 28 = -5*k - 35. Factor 25/3 + 15/2*v + 1/6*v**3 + 2*v**q.
(v + 2)*(v + 5)**2/6
Factor -51*r**3 - 3160*r**4 - 231*r**2 - 67*r**2 - 128*r**2 - 656*r + 3159*r**4.
-r*(r + 2)*(r + 8)*(r + 41)
Let v(j) be the second derivative of j**7/42 - 29*j**5/10 - 14*j**4/3 + 19*j**3/2 + 28*j**2 + 87*j + 8. Suppose v(w) = 0. What is w?
-7, -1, 1, 8
Suppose -42 + 46 = 2*h. Solve 0*u + 3*u + 53*u**h - 54*u**2 = 0 for u.
0, 3
Let g(q) = -10*q**2 - 58*q + 236. Let k(f) = -18*f**2 - 118*f + 474. Let s(l) = -11*g(l) + 6*k(l). Find z, given that s(z) = 0.
4, 31
Let q(i) be the third derivative of 5*i**8/336 + i**7/42 - 19*i**6/24 - 25*i**5/12 + 55*i**4/4 + 60*i**3 - 368*i**2 + i. What is c in q(c) = 0?
-3, -1, 2, 4
Let n(k) be the second derivative of 61*k - 863/20*k**5 - 1/84*k**7 - 3 - 71/60*k**6 - 12167/4*k**2 - 25921/12*k**3 - 7705/12*k**4. Factor n(r).
-(r + 1)**2*(r + 23)**3/2
Let k(n) be the third derivative of -n**7/210 + n**6/6 - 17*n**5/20 - n**4/6 + 34*n**3/3 + 734*n**2. Factor k(m).
-(m - 17)*(m - 2)**2*(m + 1)
Determine d so that -9*d + 10*d**5 - 145*d**4 + 315*d**3 - 24*d - 59*d**2 - 32*d + 60 - 116*d**2 = 0.
-1/2, 1, 12
Let b(u) be the third derivative of u**7/2520 - u**6/720 - 5*u**4/24 + u**3/2 - 19*u**2 - 5. Let r(k) be the second derivative of b(k). Factor r(s).
s*(s - 1)
Let n(v) be the first derivative of -5*v**4/12 - 95*v**3/6 + 50*v**2 - 9*v - 137. Let c(t) be the first derivative of n(t). Factor c(k).
-5*(k - 1)*(k + 20