 3/7*b**2 - 14*b. What is s in m(s) = 0?
-3, 2/3
Let n(o) be the second derivative of o**7/42 + 7*o**6/30 - 137*o**5/20 + 121*o**4/12 + 68*o**3/3 - 64*o**2 - 1780*o. Find w, given that n(w) = 0.
-16, -1, 1, 8
Suppose -3449*a + 3454*a - 17 = -f, 2*a - 2 = 2*f. What is v in 0 - 6/7*v + 3/7*v**f = 0?
0, 2
Let o = -96/2485 + 1516/2485. Factor 4/7*s**5 + 0*s + 0 - o*s**4 - 4/7*s**3 + 4/7*s**2.
4*s**2*(s - 1)**2*(s + 1)/7
Let d(r) = 3*r**4 + 8*r**3 - 5*r**2 - 8*r. Let t(i) = 2*i**4 + 7*i**3 - 5*i**2 - 7*i. Let k = -504 + 501. Let q(z) = k*d(z) + 2*t(z). Factor q(f).
-5*f*(f - 1)*(f + 1)*(f + 2)
Let t(a) be the second derivative of a**4/4 - 51*a**3/2 - 78*a**2 + 2*a - 300. Let t(c) = 0. What is c?
-1, 52
Let j(z) be the third derivative of -z**8/3024 + z**7/630 + z**6/1080 - 11*z**5/540 + z**4/18 - 2*z**3/27 + 547*z**2. Factor j(i).
-(i - 2)*(i - 1)**3*(i + 2)/9
Let f(i) = i**2 + 259*i - 38688. Let w be f(106). Determine k so that 0 + 0*k + 0*k**3 - 5/3*k**w + 5/3*k**4 = 0.
-1, 0, 1
Let r(p) be the third derivative of p**8/1176 - 8*p**7/735 + 5*p**6/84 - 19*p**5/105 + p**4/3 - 8*p**3/21 + 14*p**2 + 2*p + 72. Factor r(i).
2*(i - 2)**3*(i - 1)**2/7
Let c(g) be the second derivative of g**7/210 - g**6/25 - 7*g**5/100 + 8*g**4/5 - 24*g**3/5 + 8*g + 72. Determine j, given that c(j) = 0.
-4, 0, 3, 4
Let s(t) be the first derivative of -1/45*t**6 + 0*t**2 + 0*t - 16/25*t**5 + 0*t**3 + 27 - 24/5*t**4. Suppose s(z) = 0. What is z?
-12, 0
Let u(j) be the second derivative of -j**5/330 + j**4/33 + 4*j**3/11 - 78*j**2 - 64*j. Let k(r) be the first derivative of u(r). Find p, given that k(p) = 0.
-2, 6
Let l(r) be the second derivative of r**8/3360 + r**7/560 - r**5/60 + 59*r**3/6 - 32*r. Let m(i) be the second derivative of l(i). Suppose m(u) = 0. What is u?
-2, 0, 1
Let g(y) be the third derivative of y**5/80 - 21*y**4/16 + 10*y**3 + 496*y**2. Determine x so that g(x) = 0.
2, 40
Let y(l) be the second derivative of -l**4/20 + 23*l**3 - 7935*l**2/2 + 291*l. Factor y(s).
-3*(s - 115)**2/5
Let t be (3 - -3) + (11 - 14). Let z be 1/t*(-18)/(-24). Suppose -z*x**4 - 3*x**2 + 3/2*x**3 + 5/2*x - 3/4 = 0. Calculate x.
1, 3
Let j(a) be the third derivative of 7*a**4/12 + 56*a**3/3 - a**2 + 123. Let o be j(-8). Factor -3/4*b**4 + o + 0*b - 3*b**3 - 3*b**2.
-3*b**2*(b + 2)**2/4
Let z = -92291/6 + 15384. Suppose -z*v - 2/3 - 1/2*v**2 = 0. Calculate v.
-4, -1/3
Let o = -3164 - -3164. Let u(j) be the first derivative of 0*j**2 + 8 + o*j - 1/12*j**3. Factor u(w).
-w**2/4
Suppose 944 = 13*k + 60. Suppose -75*p + 293 - k = 0. Factor 0 - 4/7*d**4 - 12/7*d**p - 8/7*d**2 + 0*d.
-4*d**2*(d + 1)*(d + 2)/7
Let h be 8*(27/6 + -5). Let c be 147/238 - (6/(-3))/h. Factor c*k**2 + 2/17*k + 0.
2*k*(k + 1)/17
What is d in -18*d**2 + 7*d**2 - 5*d**2 - 56 + 124*d**3 - 67*d**3 - 61*d**3 + 76*d = 0?
-7, 1, 2
Let o = 996182/9 - 110686. Factor 2*h**2 - o + 4/9*h**3 + 2/3*h.
2*(h + 1)*(h + 4)*(2*h - 1)/9
Let m(l) be the third derivative of l**5/150 - 104*l**4/15 - 174*l**2 - 2*l. Factor m(k).
2*k*(k - 416)/5
Suppose 0 = 3*i + 3*o - 57, 0 = -2*i + 2*o + o + 18. Suppose -i*q + 10*q = 0, -4*z + 3*q = -8. Suppose -2/13*u**z - 2/13 - 4/13*u = 0. Calculate u.
-1
Suppose -14*g + 97 = 741. Let p = 140/3 + g. Factor 0 - p*y**3 - 2/9*y - 2/9*y**4 - 2/3*y**2.
-2*y*(y + 1)**3/9
Let b be 3/(-24)*(-63 + 9 + 30). Find j, given that -44/13*j**2 + 14/13*j + 2/13*j**5 - 20/13*j**4 + 48/13*j**b + 0 = 0.
0, 1, 7
Let b = 292675 - 1463372/5. Determine t so that 2/5*t**3 - 4/5*t**2 + 1/5*t**4 + b - 2/5*t = 0.
-3, -1, 1
Let x(o) = 2*o**5 + o**4 + o**2 + o. Let u(c) = 9*c**5 - 3*c**4 + 10*c**3 + 6*c**2 - 7*c + 5. Suppose 11*z = 32*z + 21. Let a(f) = z*u(f) + 4*x(f). Factor a(n).
-(n - 5)*(n - 1)**3*(n + 1)
Factor 135/4*t**3 - 75/2*t**2 + 0*t + 0 - 9*t**4 + 3/4*t**5.
3*t**2*(t - 5)**2*(t - 2)/4
Let s(h) = -65*h**3 + 543*h**2 - 1235*h + 230. Let f(z) = -3*z**3 + z**2 + 7*z + 2. Let a(i) = -7*f(i) + s(i). Factor a(j).
-4*(j - 9)*(j - 3)*(11*j - 2)
Determine y, given that 42/13 - 40/13*y - 2/13*y**2 = 0.
-21, 1
Suppose -3/7*n**2 + 1161/7*n + 0 = 0. Calculate n.
0, 387
Let w(x) be the second derivative of -x**9/1008 - 9*x**8/280 - 81*x**7/280 + 32*x**3/3 + 3*x - 3. Let a(u) be the second derivative of w(u). Factor a(f).
-3*f**3*(f + 9)**2
Let r be (-4)/(-9)*1154/577. Suppose 2/3*q**3 - r + 0*q + 14/9*q**2 = 0. Calculate q.
-2, -1, 2/3
Let a be 7 + -12 - (-7 - 0) - (2 + -2). Solve 44/7 + 52/7*g**a + 4/7*g**3 + 92/7*g = 0 for g.
-11, -1
Let x = -139270 - -696398/5. Let -3/5*v**4 + x - 12/5*v**3 + 48/5*v + 0*v**2 = 0. Calculate v.
-2, 2
Suppose 44*n - 47*n = -42. Let p(j) be the second derivative of 0 - n*j + 1/300*j**6 + 0*j**4 + 1/100*j**5 - 1/30*j**3 - 1/20*j**2. Factor p(o).
(o - 1)*(o + 1)**3/10
Suppose 4*m = -3*t + 5, 5*m + 0*m - 13 = 3*t. Factor 8*g**m - 5*g**2 - 5*g**2 + 8*g - 36 + 10*g.
-2*(g - 6)*(g - 3)
Let z(a) = -11*a**2 - 76*a - 518. Let q(f) = 21*f**2 + 156*f + 1033. Let c(k) = 6*q(k) + 11*z(k). Determine g so that c(g) = 0.
-10
Suppose 3*z + 8 + 16 = -3*r, -3*r - 2*z - 19 = 0. Let o(u) = u**2 + 15*u - 6. Let k(b) = 14*b - 4. Let y(s) = r*k(s) + 2*o(s). Suppose y(h) = 0. What is h?
0, 6
Suppose 8*k + 400 = 416. Factor -6/5 - 1/5*r**k + r.
-(r - 3)*(r - 2)/5
Let j be -5 + 18/9 + 3. Factor q**2 + j*q**2 + 4*q - 3 + 2*q**2 - 2*q**2 + 6.
(q + 1)*(q + 3)
Let b(a) be the first derivative of a**5/10 + a**4/4 - a**3/2 - 2*a**2 - 2*a - 3033. Suppose b(g) = 0. Calculate g.
-2, -1, 2
Suppose -357 + 81 = -6*g. Let h be -3 - -2 - (-6 + 1). Determine r so that -36*r**2 - 6*r**h + g*r**2 + 6*r**5 - 16*r**3 + 8 - 2*r**5 + 24*r = 0.
-1, -1/2, 2
Let a(r) be the second derivative of r**6/6 - 3*r**5/2 + 5*r**4/3 + 5*r**3 - 25*r**2/2 - 56*r + 1. Suppose a(x) = 0. Calculate x.
-1, 1, 5
Let c(j) be the second derivative of 13*j**6/20 + 123*j**5/40 + 43*j**4/8 + 15*j**3/4 - 5435*j. Factor c(y).
3*y*(y + 1)**2*(13*y + 15)/2
Let x(z) = -4*z**4 + z**3 - z**2 + z - 2. Let v(c) = -3*c**4 + 25*c**3 + 42*c**2 - 23*c - 46. Let j(a) = 5*v(a) - 5*x(a). Suppose j(f) = 0. What is f?
-22, -2, -1, 1
Let u(o) = -17*o - 28*o + 33*o. Let p be u(-1). Let 12*q + 9*q + 20*q + p - 2*q**2 - 31*q = 0. What is q?
-1, 6
Let u be (-21)/(-9) - 116/(-6)*(-121)/1210. Factor 2/15*l**2 + u*l - 8/15.
2*(l - 1)*(l + 4)/15
Let d(m) = -9*m**2 - 2499*m + 850. Let z be d(-278). Factor 16/3*o - 8/9*o**3 - 44/9*o**2 + 4/9*o**4 + z.
4*(o - 3)**2*(o + 2)**2/9
Let f(i) = i**3 + 4*i**2 - i - 2. Let z be f(-3). Let w be (-552)/(-132) + 4/(-22). Find n such that -6*n + z*n**3 - w*n - 5*n**3 + 5*n**2 = 0.
-2, 0, 1
Let c be ((-1)/(-2))/(707/2). Let b = 5651/3535 + c. Factor -8/5*r**4 - 16/5 + 4*r**2 - 2/5*r**3 - 2/5*r**5 + b*r.
-2*(r - 1)**2*(r + 2)**3/5
Factor 10745*t**2 - 5377*t**2 - 4*t**3 + 5*t**3 - 5427*t**2.
t**2*(t - 59)
Let x = -338 - -344. What is y in x - 13 - 2 + y**2 = 0?
-3, 3
Let f be 12*((-520)/8)/(2 - 1). Let t = -3896/5 - f. Factor 0 + 0*o**3 - t*o**2 + 4/5*o**4 + 0*o.
4*o**2*(o - 1)*(o + 1)/5
Let a(w) = 3*w**2 + 1890*w - 893025. Let p(o) = 26*o**2 + 15120*o - 7144200. Let z(g) = 17*a(g) - 2*p(g). Factor z(b).
-(b - 945)**2
Let z = 95434 + -95431. Find q such that 80 - 50*q**5 - 674*q**z + 6316/5*q**2 - 440*q**4 - 568*q = 0.
-5, 2/5
Let p = 83632 + -8697283/104. Let k = p - 33/8. Factor -2/13 - k*t**2 + 4/13*t.
-2*(t - 1)**2/13
Let m(h) be the first derivative of -h**5 + 2245*h**4/2 - 448500*h**3 + 67497755*h**2 - 133654495*h - 4460. Determine o so that m(o) = 0.
1, 299
Let u = -242377 - -242377. Factor 3/5*p**3 + 12/5*p + u - 3*p**2.
3*p*(p - 4)*(p - 1)/5
Let q be (-3 + 152/48)*30. Determine o, given that -4*o**3 + q*o**4 + 0*o**5 - 1327 - 2*o**5 + o**2 + 1327 = 0.
0, 1/2, 1
Let m(i) be the third derivative of -i**5/120 + 85*i**4/24 - 583*i**3/4 + 11894*i**2. Factor m(p).
-(p - 159)*(p - 11)/2
Determine y, given that 587528/5 + 2/5*y**2 - 2168/5*y = 0.
542
Let -1452 - 3/4*b**3 - 231*b + 30*b**2 = 0. Calculate b.
-4, 22
Let c(b) = 8 - b**2 - 49*b + 16*b + 15*b + 25*b. Let q be c(7). Factor 1 - 3*i + 1 - q*i**2 - 6*i - 3*i**2.
-(i + 1)*(11*i - 2)
Let z(b) be the second derivative of -9*b**6/40 - 3*b**5/10 + b**4/2 + 5*b**3/3 - 7*b**2/2 - 91*b + 2. Let l(a) be the second derivative of z(a). Factor l(g).
-3*(3*g + 2)*(9*g - 2)
Suppose 3*r - 2*z - 19 + 3 = 0, 0 = 2*z 