 - -34. Let v be (-2 - (-75)/n)/(2/8). Factor -1/3 + v*b**3 + b - b**2.
(b - 1)**3/3
Let p(y) = -10*y**3 + 100*y**2 + 235*y. Let w(l) = -5*l**3 + 49*l**2 + 116*l. Let f(g) = 2*p(g) - 5*w(g). Find b such that f(b) = 0.
-2, 0, 11
Let y(b) be the second derivative of -b**5/30 + 19*b**4/3 - 1444*b**3/3 + 54872*b**2/3 - 2*b - 89. Factor y(u).
-2*(u - 38)**3/3
Let r be 3 + (-5)/30*6/(-39)*-111. Determine v, given that 0 - r*v**2 + 6/13*v = 0.
0, 3
Let q(t) be the second derivative of t**8/960 - t**7/1260 - 7*t**4/4 + 22*t. Let m(r) be the third derivative of q(r). Let m(b) = 0. Calculate b.
0, 2/7
Determine z so that 0 + 4/3*z + 25/3*z**2 + 13*z**3 = 0.
-1/3, -4/13, 0
Factor 15 - 3 + 252*j + 3*j**3 - 248*j - 7*j**3 - 12*j**2.
-4*(j - 1)*(j + 1)*(j + 3)
Let v = 5461/12 - 1363/3. Factor 0 + v*c**5 - 3/4*c + 3/2*c**4 + 0*c**3 - 3/2*c**2.
3*c*(c - 1)*(c + 1)**3/4
Let t = 8 + 0. Suppose -5*n = -t - 12. Factor 6*d**3 - 3*d**n + 0*d**4 + d**2 + 11*d**4 - 3*d**2.
2*d**2*(d + 1)*(4*d - 1)
Suppose -30710*z = -30648*z. Solve 9/7*b**3 + 3/7*b + z - 9/7*b**2 - 3/7*b**4 = 0.
0, 1
Let -39*c**2 - 49*c**2 - 36 + 124*c**4 - 96*c + 12*c**5 + 136*c**3 - 31*c - 21*c = 0. Calculate c.
-9, -1, -1/3, 1
Suppose -2*u - 2*t = -8, -u + 9*t - 2 = 7*t. Let p(r) be the first derivative of 2/35*r**5 - 1/7*r**u + 0*r - 3/14*r**4 + 2/7*r**3 + 3. Factor p(d).
2*d*(d - 1)**3/7
Solve -3*k**2 + 0 - 405/4*k**5 + 0*k + 3*k**3 + 207/4*k**4 = 0.
-2/9, 0, 1/3, 2/5
Let x(f) be the first derivative of f**6/33 - 122*f**5/55 + 59*f**4/11 + 699. Factor x(m).
2*m**3*(m - 59)*(m - 2)/11
Let q be 8 - 7 - (-1 - 0). Suppose 0 = g - q + 2. Factor 16/5*h**3 - 8/5*h**4 + g - 2*h**2 + 2/5*h.
-2*h*(h - 1)*(2*h - 1)**2/5
Suppose k + 72*n - 68*n - 2 = 0, -5*k = -3*n - 10. Suppose 0 + 22/7*y**k + 18/7*y**3 + 4/7*y = 0. Calculate y.
-1, -2/9, 0
Let z = -12 + 15. Suppose 4*h - 32 = 2*b + 3*b, -b - 13 = -z*h. Find u, given that -h*u**2 + 7*u**2 - 6*u**2 + 2*u**4 = 0.
-1, 0, 1
Let s(r) = -r**3 + 10*r**2 - 15*r + 2. Let b be s(8). Factor -i**3 - 20*i + 0 - 5*i + 0 + b*i**2.
-i*(i - 5)**2
Let n(x) = -4*x + 12. Suppose 7*s = 14 + 7. Let j be n(s). Factor j*c - 1/4*c**4 + 0*c**3 - 1/4 + 1/2*c**2.
-(c - 1)**2*(c + 1)**2/4
Factor 3*o**4 + 0*o**4 - 2314*o**2 + 9*o**4 - 92*o**3 + 2522*o**2 - 64 - 112*o.
4*(o - 4)*(o - 2)**2*(3*o + 1)
Let q be ((-42)/(-49))/((-1)/(-7)). Suppose -7*t + 3*t = -5*c - 6, 0 = 2*c + 5*t - 24. Suppose c*s**2 - q - 7*s - 5*s**2 - 2*s = 0. What is s?
-2, -1
Suppose 5*k = d + 95, 0*k + 71 = -d - 3*k. Let p be 10/15 + (d/(-36))/(-5). Suppose -p*a - 2/9*a**2 + 0 = 0. What is a?
-1, 0
Find g, given that 897*g**5 - 12*g**4 + 28*g**2 - 16 - 3*g - 893*g**5 + 3*g - 4*g**3 = 0.
-1, 1, 2
Let x(s) = -3*s**2 - 42*s - 6. Let m(r) = -6*r**2 - 83*r - 14. Let j(c) = 3*m(c) - 7*x(c). Factor j(u).
3*u*(u + 15)
Let u be (-7)/(-490)*398 - 2/5. Let l = u + -5. Factor -l*q**2 + 4/7*q - 2/7.
-2*(q - 1)**2/7
Let i(r) be the second derivative of 1 + 22/15*r**3 - r - 121/5*r**2 - 1/30*r**4. Factor i(d).
-2*(d - 11)**2/5
Suppose 24 = 4*p - 5*g, -5*p = 2*g - 7 - 23. Suppose -2*c**5 + p*c**2 + 0*c**5 - 6*c**4 + 0*c**4 + 2*c**2 = 0. What is c?
-2, 0, 1
Let m(t) = 4*t - 89. Let p be m(23). Let a(x) be the first derivative of 1/32*x**4 + 1/8*x**p + 0*x + 10 - 1/4*x**2. Factor a(b).
b*(b - 1)*(b + 4)/8
Suppose -36 = -27*j + 15*j. Let l(q) be the first derivative of 1/12*q**j + 0*q - 1/8*q**2 - 6. Factor l(i).
i*(i - 1)/4
Let j(o) = o**2 + 9*o - 14. Let q be j(-7). Let a be (1 - 25/21)*q/24. Solve -2/9*p**4 + 0 - 2/9*p + 2/9*p**3 + a*p**2 = 0.
-1, 0, 1
Let z(j) be the third derivative of -j**6/360 + j**5/10 - 5*j**4/6 - 100*j**3/9 + 339*j**2. What is w in z(w) = 0?
-2, 10
Suppose 3 + 39 = 7*x. Let r = x - 3. Find m, given that 3/5*m**r + 4/5 - 7/5*m**2 + 0*m = 0.
-2/3, 1, 2
Let f(r) = 13*r**4 + 2*r**3 + 5*r**2 - 14*r - 12. Let i(j) = -2*j**4 - 2*j**2 - j. Let u(c) = 5*f(c) + 30*i(c). Determine q, given that u(q) = 0.
-2, -1, 3
Suppose 2*x + a = -35 + 5, a = 2*x + 30. Let r be (-21)/x*-1 + (1 - -1). Find t, given that t**5 + 2/5*t - 7/5*t**3 + 0 - r*t**4 + 3/5*t**2 = 0.
-1, -2/5, 0, 1
Let v(p) be the third derivative of -1/210*p**7 + 0 - 1/120*p**6 + 1/60*p**5 + 0*p + 1/336*p**8 + 37*p**2 + 0*p**3 + 0*p**4. Factor v(j).
j**2*(j - 1)**2*(j + 1)
Let h(o) be the third derivative of -o**5/150 + o**4/20 + 2*o**3/3 - 27*o**2. Determine j, given that h(j) = 0.
-2, 5
Let q(t) be the third derivative of t**8/1680 - 4*t**7/525 + t**6/150 + 29*t**5/150 - t**4/24 - 5*t**3/3 + 8*t**2. Find w such that q(w) = 0.
-2, -1, 1, 5
Let w(d) be the first derivative of -4/5*d**5 - d**6 - 3*d**2 - 4/3*d + 13/3*d**4 + 0*d**3 + 8. What is l in w(l) = 0?
-2, -1/3, 1
Let n(u) be the third derivative of u**8/4032 - u**7/504 - u**5/15 + 7*u**2. Let s(w) be the third derivative of n(w). Determine x so that s(x) = 0.
0, 2
Let m(z) be the second derivative of -z**5/100 + 7*z**4/20 - 9*z**3/2 + 243*z**2/10 - z - 71. Factor m(v).
-(v - 9)**2*(v - 3)/5
Let s be 3 + (5 - 4) + 4. Let -1 + 4*b**2 - 20*b + 9 + s = 0. Calculate b.
1, 4
Let t(g) = -g**3 - 73*g**2 - 773*g + 93. Let b be t(-13). Let j be 8/14*(-1)/(-2). Factor j*p**3 + 8/7 + 16/7*p + 10/7*p**b.
2*(p + 1)*(p + 2)**2/7
Let c be ((-32)/(-192))/((-9)/(-36)). Let c*y**4 + 0 + 2/3*y**3 - 2/3*y**2 - 2/3*y = 0. What is y?
-1, 0, 1
Let s = 1012 + -1012. Let p(b) be the first derivative of 1/16*b**4 - 12 + s*b + 0*b**2 + 1/40*b**5 + 1/24*b**3. Suppose p(z) = 0. Calculate z.
-1, 0
Determine b, given that -4232/7*b - 184/7*b**2 + 0 - 2/7*b**3 = 0.
-46, 0
Let t be (-10)/(-4)*(-3)/(-45). Let b(u) be the second derivative of 0*u**2 + 0 - 1/20*u**5 - t*u**3 + 8*u - 1/6*u**4. Factor b(o).
-o*(o + 1)**2
Let o(h) be the third derivative of 0 - 3/20*h**6 + 0*h + 0*h**7 + 0*h**3 - 3/8*h**4 + 1/112*h**8 + 2/5*h**5 - 13*h**2. Determine d, given that o(d) = 0.
-3, 0, 1
Let v(z) be the second derivative of z**10/272160 - z**9/68040 + z**8/60480 - z**4 + 7*z. Let k(h) be the third derivative of v(h). Factor k(i).
i**3*(i - 1)**2/9
Suppose 11*y + 17 = 39. Suppose y*i = 8*i - 12. Solve 0 + 4/3*z**i - 4/3*z**4 + 2/3*z**5 + 0*z**3 - 2/3*z = 0 for z.
-1, 0, 1
Factor -20/3 - 1/3*h + 1/3*h**2.
(h - 5)*(h + 4)/3
Let n = -2227/2 - -1114. Let t be (-4 + -1)*6/(-10). Determine h, given that -1/2*h**t - h**2 + n*h + 1 = 0.
-2, -1, 1
Factor 2/17*t**3 - 8192/17 - 96/17*t**2 + 1536/17*t.
2*(t - 16)**3/17
Let w(g) = 17*g**2 - 6*g - g**2 + 7*g**2 - 53. Let j(v) = -8*v**2 + 2*v + 18. Let s(x) = -17*j(x) - 6*w(x). Determine c so that s(c) = 0.
-2, 3
Suppose -x + 11 = -0*x + 4*p, 3*p = -4*x + 18. Suppose 2*f - 4*t - 8 + 4 = 0, -1 = t. Factor 0*s + f*s**2 + 0 - 4/11*s**4 + 0*s**x + 2/11*s**5.
2*s**4*(s - 2)/11
Let b(g) be the second derivative of 7*g + 1/4*g**2 - 1/24*g**3 - 1/48*g**4 + 0. Determine x, given that b(x) = 0.
-2, 1
Let k(z) = -z**2 + 2*z + 11. Let l be (-2 - 1)/(-3)*4*1. Let x be k(l). Let -3/2*m - 1/2 - 3/2*m**2 - 1/2*m**x = 0. What is m?
-1
Suppose 75 + 90*m + 63/4*m**2 + 3/4*m**3 = 0. What is m?
-10, -1
Let p = 234007/11 - 21246. Let f = p + -27. Determine u so that -2/11*u**4 + 2/11 + f*u - 4/11*u**3 + 0*u**2 = 0.
-1, 1
Let f be (-256)/44 + (-8)/44. Let l(i) = -i**4 + i**3 - i. Let s(w) = w**4 - 11*w**3 + 5*w**2 + 11*w. Let a(d) = f*l(d) - s(d). Let a(v) = 0. What is v?
-1, 0, 1
Let f(q) be the first derivative of 10/9*q**3 + 2/3*q**2 + 1/2*q**4 + 42 + 0*q. Solve f(p) = 0 for p.
-1, -2/3, 0
Let r be ((-19)/(-3) + 2/(-6))*-1. Let w(q) = 19*q**2 + 5*q - 37. Let j(c) = 9*c**2 + 3*c - 18. Let m(b) = r*w(b) + 13*j(b). Determine i, given that m(i) = 0.
-4, 1
Let n(j) be the second derivative of j**4/4 + 6*j**3 + 30*j**2 - 52*j - 2. Determine d, given that n(d) = 0.
-10, -2
Let i be (-5 - (-64)/14) + (-72)/(-21). Suppose -2*q = -z - 3, 5*z - q - 12 = -0*z. Factor u**z + 4*u + 3*u**i - 4*u.
4*u**3
Factor -15/7*q**3 + 60/7*q + 3/7*q**4 + 0 - 12/7*q**2.
3*q*(q - 5)*(q - 2)*(q + 2)/7
Let c = -61 + 64. Solve 4*f**3 + 10 - 10*f**2 - 13*f**3 + 5*f + 4*f**c = 0.
-2, -1, 1
Let l(w) be the first derivative of w**6/10 - 9*w**5/25 + 3*w**4/10 + 2*w**3/5 - 9*w**2/10 + 3*w/5 + 224. Factor l(z).
3*(z - 1)**4*(z + 1)/5
Let u(s) be the second derivative of s**4/3 - 36*s**3 + 1458*s**2 + 111*s. Suppose u(c) = 0. Calculate c.
27
Factor 2*j**5 - 8*j**2 + 111