f a**6/63 + 2*a**5/105 - a**4/6 - 2*a**3/63 + 2*a**2/7 + 3740. Let v(b) = 0. What is b?
-3, -1, 0, 1, 2
Let v(m) = -8*m**3 - 4*m**2 - 19*m - 2. Let x(z) = -3*z**3 + 4*z**3 + 2*z - z + z. Let u(q) = 4*v(q) + 28*x(q). Suppose u(a) = 0. Calculate a.
-2, -1
Let n(u) = 10*u**3 + 241*u**2 - 301*u - 490. Let k(o) = 10*o**3 + 240*o**2 - 295*o - 490. Let a(y) = -6*k(y) + 5*n(y). Suppose a(q) = 0. What is q?
-49/2, -1, 2
Let c be ((-168)/(-140))/(2/5). Solve 18*j + 71*j + 30*j**2 + 58*j + 3*j**c + 12*j**2 = 0 for j.
-7, 0
Let n be 4 - 7 - (-1 + 1 - 1). Let f be (4/n)/4*-3*10. Determine z, given that 63*z**2 - z**5 - f*z**4 - 2*z**3 - 6*z**3 - 48*z + 12 - 13*z**3 + 10*z**5 = 0.
-2, 2/3, 1
Let s = 21016/7 + -231162/77. Factor 48/11 - s*y**2 + 4/11*y.
-2*(y - 6)*(y + 4)/11
Factor 1/4*j**2 - 139/2 - 277/4*j.
(j - 278)*(j + 1)/4
Let x = -2/269 + 22333/807. Let r(h) be the first derivative of -25/12*h**6 - 209/8*h**4 + 4*h + 12*h**5 - 15*h**2 + 12 + x*h**3. Determine a so that r(a) = 0.
2/5, 1, 2
Suppose -n - 8*o - 52 - 4 = 0, 3*n - 7 = o. Let 104*x**2 + 676/7*x + 53/7*x**3 + n + 1/7*x**4 = 0. Calculate x.
-26, -1, 0
Let l(y) = 4*y - 121. Let k be l(32). Let m = 0 + 4. Determine r so that -k*r + m*r - 3*r**2 + 3*r**4 + 3*r = 0.
-1, 0, 1
Let f = -141 - -143. Solve 1004 + 2*b**2 + f*b**2 - 1008 = 0.
-1, 1
Suppose 11*b = -11 + 77. Suppose -6 = -3*t, 3*x + 7 = 5*t + b. Factor 0*r**2 + 0 + 6/7*r**x + 2/7*r**4 - 8/7*r.
2*r*(r - 1)*(r + 2)**2/7
Let g(s) = s**3 + 39*s**2 + 359*s - 24. Let l be g(-24). Factor a + l - 1/3*a**3 - 2/3*a**2.
-a*(a - 1)*(a + 3)/3
Let q(z) be the first derivative of -2*z**5/5 - z**4/2 + 52*z**3/3 - 24*z**2 + 2761. Find n such that q(n) = 0.
-6, 0, 1, 4
Let u = -483194/3 + 161088. Let -4*j + 8*j**4 + 0 - 94/3*j**3 + u*j**2 = 0. Calculate j.
0, 1/4, 2/3, 3
What is o in -394/5 - 1/5*o**2 - 79*o = 0?
-394, -1
What is l in 222*l**2 + 24*l**3 + 176 + 1124/3*l + 2/3*l**4 = 0?
-22, -12, -1
Let n be (-136)/(-30)*12 - (-18)/30. Find m, given that -5*m - 31*m**4 - 52*m**3 + n*m**4 + m + 32*m**2 = 0.
0, 1/6, 1
Let t be (0 - 0)/((1 + -2)*2). Let m(f) = f**2 - 4*f. Let r be m(t). Solve -4/11*u - 2/11*u**4 + 6/11*u**2 + 0 + r*u**3 = 0.
-2, 0, 1
Suppose 369 = 14*x + 89. Determine r so that -82 - 120*r + 86 - x*r**3 + 28 + 108*r**2 = 0.
2/5, 1, 4
Let o(t) be the first derivative of -t**4/18 - 10*t**3/3 - 176*t**2/3 - 968*t/9 + 538. Factor o(k).
-2*(k + 1)*(k + 22)**2/9
Let s(q) be the first derivative of -q**5 + 25*q**4 - 515*q**3/3 + 390*q**2 + 1963. Solve s(r) = 0 for r.
0, 3, 4, 13
Let s(g) = 39*g**2 - 348*g - 3505. Let t(x) = 63*x**2 - 522*x - 5257. Let l(z) = 8*s(z) - 5*t(z). Factor l(d).
-3*(d + 13)*(d + 45)
Factor -56275*k + 44*k**2 - 1 + 56315*k + 4*k**3 + 1.
4*k*(k + 1)*(k + 10)
Factor 0 - 2/5*f**2 - 18/5*f.
-2*f*(f + 9)/5
Let l(g) = -1575*g + 18908. Let v be l(12). Find m such that v*m - 8*m**3 - 2/3*m**2 + 10/3*m**4 - 8/3 = 0.
-1, 2/5, 1, 2
Let b(y) be the second derivative of -y**7/7 + y**6/5 + 2*y**5/5 - 4*y**4/3 + 106*y - 2. Let a(z) = z**5 - z**3 + z**2. Let j(x) = 8*a(x) + b(x). Factor j(h).
2*h**2*(h - 1)*(h + 2)**2
Find f such that 93413*f**3 + 93379*f**3 - 1608*f**2 - 186831*f**3 - 369*f = 0.
-41, -3/13, 0
Factor 39/5*z - 108/5 - 3/5*z**2.
-3*(z - 9)*(z - 4)/5
Let g(f) be the first derivative of 4/15*f**5 + 64/3*f**2 - 512/3*f - 10/3*f**4 + 278 + 32/3*f**3. Factor g(u).
4*(u - 4)**3*(u + 2)/3
Suppose 0 = -4*q + 1003 - 1003. Suppose 4*w - l - 10 = q, w - 3*l + 0*l = -3. Solve 3/5*t**w + 16/5*t**2 - 16/5 + 12/5*t = 0 for t.
-4, -2, 2/3
Suppose 5*d = -k + 1, 2*d + 3 - 2 = k. Suppose d = 2*q + 4*l + 12, -4*q + l + 12 = -0*q. Factor -21/8*a - 3/8*a**q + 0.
-3*a*(a + 7)/8
Let p = -110 - -127. Let v(z) = 2*z**2 - 36*z + 37. Let i be v(p). Factor -3*w**4 + 12*w**2 - 3*w**i - 3*w**2 - 5*w**2 + 2*w**2.
-3*w**2*(w - 1)*(w + 2)
Let h(a) be the third derivative of -1/84*a**8 + 0*a**3 + 0*a**5 + 0*a - 23*a**2 + 0*a**4 + 0 - 1/5*a**6 + 2/21*a**7. Factor h(y).
-4*y**3*(y - 3)*(y - 2)
Let i(s) be the first derivative of -1/10*s**4 + 0*s**2 - 91 - 64/5*s + 4/5*s**3. Suppose i(b) = 0. Calculate b.
-2, 4
Let x(p) be the first derivative of 2/21*p**3 + 1/14*p**4 - 18/7*p - 9/7*p**2 - 17. Factor x(n).
2*(n - 3)*(n + 1)*(n + 3)/7
Let i(q) be the first derivative of 2*q**3/57 + 34*q**2/19 + 450*q/19 - 7015. Factor i(o).
2*(o + 9)*(o + 25)/19
Let o(w) be the first derivative of -w**4/28 + 22*w**3/7 - 65*w**2/14 - 157. Factor o(d).
-d*(d - 65)*(d - 1)/7
Let l(w) = 3*w**2 + 13*w - 476. Let h be l(-15). Let s(p) be the second derivative of 10*p + 1 - 10/3*p**3 - 5/12*p**h + 25/2*p**2. Solve s(q) = 0 for q.
-5, 1
Let n = 3814 - 3810. Let o(a) be the second derivative of 0 + 1/5*a**6 + 3*a**2 - 3/10*a**5 + 1/14*a**7 - a**n - 12*a + 1/2*a**3. Find m such that o(m) = 0.
-2, -1, 1
Let v(b) be the third derivative of -b**7/560 + b**6/120 + b**5/10 - 10*b**3/3 + 242*b**2. Let d(g) be the first derivative of v(g). Factor d(l).
-3*l*(l - 4)*(l + 2)/2
Suppose -2*h + 6*h + 1 = -3*k, -2*h - k + 1 = 0. Factor 4*t**4 - 36 + 31*t**2 + 31*t + 18*t**3 - 83*t - 28*t**h - 5*t**4.
-(t - 18)*(t - 2)*(t + 1)**2
Let k be (195/52 - 3) + -7 + 830/120. Factor -8/3*x + 2*x**2 - 8/3 - k*x**4 + 4/3*x**3.
-2*(x - 2)**2*(x + 1)**2/3
Let f(g) be the first derivative of g**5/20 - 75*g**4/16 + 297*g**3/4 + 21371*g**2/8 - 5547*g - 5338. Find b such that f(b) = 0.
-12, 1, 43
Let n be ((-1)/4 - -1)/((-79637)/776 - -103). Factor 0 + 0*s**3 + 1/2*s - 1/2*s**5 + s**n - s**4.
-s*(s - 1)*(s + 1)**3/2
Let b = 491 + -32405/66. Let r(j) be the second derivative of -14*j - 3/11*j**2 - b*j**4 - 4/33*j**3 + 0. Factor r(d).
-2*(d + 1)*(d + 3)/11
Suppose 3*g = 12, 5*k - 4*k - g = -2. Determine f so that -11*f**3 - 2*f**4 + 34*f**3 + 10*f**4 + 8*f + f**5 + 28*f**k + 4*f = 0.
-3, -2, -1, 0
Let y be (912/15162)/(((-108)/(-21))/9). Determine p so that -176/19*p - y*p**2 - 3872/19 = 0.
-44
Let k be (-8)/2 + 7 + 33. Factor -k*c**2 + 2*c - 37 + 37.
-2*c*(18*c - 1)
Let l(h) be the third derivative of 0 - 93*h**2 - 1/315*h**7 - 1/1008*h**8 + 0*h + 1/90*h**6 + 0*h**4 + 0*h**3 + 2/45*h**5. Solve l(f) = 0 for f.
-2, 0, 2
Factor 0 + 2/17*r**5 + 371520/17*r**3 + 0*r - 1726/17*r**4 + 373248/17*r**2.
2*r**2*(r - 432)**2*(r + 1)/17
Let z(n) be the second derivative of 13/15*n**4 + 13/15*n**3 + 7/50*n**5 - 6/5*n**2 - 343*n + 0. Find y, given that z(y) = 0.
-3, -1, 2/7
Suppose -7*w - 35 + 245 = 0. Solve w - 3*y**3 - 14 - 18 - 3*y + 4*y**3 = 0 for y.
-1, 2
Let n(a) = 3*a**2 - 2*a - 2. Let p(y) = -6*y**2 + 6*y**2 - 9*y**2 + 7*y + 7. Let t(x) = -7*n(x) - 2*p(x). Factor t(d).
-3*d**2
Let v(k) be the first derivative of k**5 + 305*k**4/12 + 70*k**3 - 10*k**2/3 - 120*k + 1271. Find y such that v(y) = 0.
-18, -2, -1, 2/3
Let q(g) = -4*g**2 + 26*g - 54. Let m be q(3). Let b be 12 + 2 + 164/m. Factor -1/3*o**2 + 0 - b*o.
-o*(o + 1)/3
Let y be -6 + ((-43472)/(-7260) - 18/(-33)). Let s(j) be the first derivative of 8/15*j - 1/30*j**4 - 7 - y*j**2 + 2/9*j**3. Determine n, given that s(n) = 0.
1, 2
Let l(t) = -2*t**3 - 3*t**2 + 3*t + 7. Let z be l(-2). Factor 14*k - k**z - 22*k + 3*k**4 - 3*k**2 + 10*k + 10*k**3 - 11*k**3.
-k*(k - 2)*(k - 1)**2*(k + 1)
Let v(k) = -k**3 + 6*k**2 - 3*k + 21. Let g be -2 - (3 + -8 + -3). Let y be v(g). Let -57*i + 4 + y*i**2 + 2 + 66*i = 0. What is i?
-2, -1
Let c(t) be the second derivative of t**6/30 + 96*t**5/5 + 3072*t**4 - 32*t + 21. Factor c(w).
w**2*(w + 192)**2
Let w(j) be the second derivative of -1/7*j**2 + 0 - 63*j + 1/6*j**4 + 2/21*j**3 + 2/35*j**5. Factor w(x).
2*(x + 1)**2*(4*x - 1)/7
Let q(k) be the first derivative of -3*k**5/25 + 3*k**4/5 + 4*k**3/5 - 24*k**2/5 + 2327. Find f, given that q(f) = 0.
-2, 0, 2, 4
Let v(g) = 56*g - 107. Let n be v(2). Suppose n*s + 10 = 10*s. Factor 0 - 2/7*d**s - 2/7*d.
-2*d*(d + 1)/7
Let f be (-543434)/(-6035) + -89 + 6/17. Solve 0 - f*p + 1/5*p**2 = 0.
0, 7
Let y be -1 + (62/(-99))/(6/21). Let o = 32/9 + y. Determine u, given that -2/11*u**2 - o*u + 0 = 0.
-2, 0
Factor 160*o**4 - 330*o**4 - 73*o**2 + 169*o**4 + 19*o**3 + 12 - 16 + 33*o + 130.
-(o - 14)*(o - 3)**2*(o + 1)
Let l(i) be the second derivative of -2*i**6/15 + i**5/5 + 16*i**4/3 - 8*i**3/3 - 96*i**2 + 10*i + 3. Solve l(m) = 0 for m.
-3, -2, 2, 4
Let d be ((-735)/30 + 13)/(2/156). Let g = d + 6291/7. Sol