8*v**3 - 13*v**2 - 47*v + 41. Let q(s) = -5*f(s) - 3*u(s). Factor q(a).
-3*(a - 1)**2*(a + 2)*(a + 3)
Find w such that 5/6*w**3 - 1/2*w**2 - 1/6*w**5 + 0 + 0*w - 1/6*w**4 = 0.
-3, 0, 1
Factor 0 + 3/5*z + 1/5*z**4 + 7/5*z**2 + z**3.
z*(z + 1)**2*(z + 3)/5
Let r(q) be the second derivative of q**5/4 + 105*q**4/4 + 2205*q**3/2 + 46305*q**2/2 + 9*q + 11. Suppose r(c) = 0. Calculate c.
-21
Let g = -321 + 512. Let t = -189 + g. What is o in 1/7*o**3 + 1/7*o**t + 0*o + 0 = 0?
-1, 0
Factor 5/2*d**4 + 40*d + 20*d**3 + 50*d**2 + 0.
5*d*(d + 2)**2*(d + 4)/2
Let a be (14 - 0)*17/119. Let d(p) be the second derivative of -3/10*p**a - p + 0 + 1/20*p**4 + 0*p**3. Suppose d(b) = 0. What is b?
-1, 1
Let i(a) be the first derivative of a**6/14 - 6*a**5/5 + 24*a**4/7 + 128*a**3/7 - 425. Find u such that i(u) = 0.
-2, 0, 8
Suppose 0 = 7*p - 2*p + 25. Let f be 4/(p/((-10)/4)). Find b such that -6*b**3 - 2*b**4 - 5*b**4 + 0*b**f + 11*b**3 + 2*b**2 = 0.
-2/7, 0, 1
Let 0*t + 1/6*t**3 + 1/2*t**2 - 2/3 = 0. Calculate t.
-2, 1
Let t = -130 - -135. Suppose -y + t*w + 3 = 6, 4*y + 2*w - 10 = 0. Factor 1/7*q**3 + 0*q - 2/7*q**4 + 1/7*q**5 + 0 + 0*q**y.
q**3*(q - 1)**2/7
Determine a, given that 33/2*a**2 + 0*a + 0 - 1/2*a**3 = 0.
0, 33
Let y(t) be the second derivative of -t**5/180 + 25*t**4/108 - 11*t**3/27 - 8*t**2/3 - 79*t - 2. Find h such that y(h) = 0.
-1, 2, 24
Factor -6*w**2 + 4*w**3 - 4*w**3 + 3*w**3 - w**3.
2*w**2*(w - 3)
Suppose -10/3 - d + 1/3*d**2 = 0. Calculate d.
-2, 5
Factor 200/13 + 42/13*m**2 + 2/13*m**3 + 240/13*m.
2*(m + 1)*(m + 10)**2/13
Let f(v) be the third derivative of v**7/1260 + v**6/135 + v**5/45 + 5*v**3/6 - 8*v**2. Let i(m) be the first derivative of f(m). Let i(p) = 0. What is p?
-2, 0
Suppose 5*p - 4*p - 2 = 0. Suppose -5*r - 4*n = 4 - 22, 0 = 3*r + 2*n - 10. Factor 3*b**3 + 3*b + 2*b - 4*b + 6*b**r + p*b.
3*b*(b + 1)**2
Let i be 238/18 + (47 - 48). Factor -64/9*t + i*t**2 + 8/9.
2*(5*t - 2)*(11*t - 2)/9
Suppose -9*n + 108 = 9*n. Let v(c) be the first derivative of 0*c + 1/24*c**n + 1/6*c**3 + 0*c**4 - 1/10*c**5 + 1 - 1/8*c**2. Let v(u) = 0. What is u?
-1, 0, 1
Let i(m) be the third derivative of -m**6/240 - m**5/20 + m**4/48 + m**3/2 - m**2 - 15*m. Factor i(s).
-(s - 1)*(s + 1)*(s + 6)/2
Let -32/3*t + 8/3*t**3 + 8 - 2/3*t**4 + 2/3*t**2 = 0. What is t?
-2, 1, 2, 3
Let u = -642 + 644. Let o(r) be the first derivative of 3*r**4 - 4 + 0*r**u + 0*r - 4/3*r**3. Factor o(p).
4*p**2*(3*p - 1)
Let l(v) be the first derivative of v**6/60 - v**5/15 + v**4/12 + 7*v**2 - 15. Let x(n) be the second derivative of l(n). Find h, given that x(h) = 0.
0, 1
Let z(i) = 7*i**3 - 50*i**2 + 578*i - 517. Let h(y) = -5*y**3 + 49*y**2 - 577*y + 521. Let v(n) = -3*h(n) - 2*z(n). Factor v(d).
(d - 23)**2*(d - 1)
Let h(o) be the second derivative of o**5/5 + 3*o**4 - 44*o**3/3 + 14*o - 1. Factor h(z).
4*z*(z - 2)*(z + 11)
Let t = -6978 - -6982. Find u such that 6/7 - 9/7*u**3 - 3/7*u**t - 3/7*u**2 + 9/7*u = 0.
-2, -1, 1
Let l(i) be the first derivative of 0*i**3 - 1/105*i**6 - 1/35*i**5 - 5*i + 0*i**2 - 1/42*i**4 + 3. Let d(g) be the first derivative of l(g). Factor d(s).
-2*s**2*(s + 1)**2/7
Suppose 4*b - 9 - 1 = -2*s, -2*b - 2*s + 10 = 0. Suppose 0 = -5*f + 5*r - 25, 3*f + 3*r = 14 + 1. Solve 0 + 2/11*u**2 + f*u - 2/11*u**4 + b*u**3 = 0.
-1, 0, 1
Let u(a) be the third derivative of 0*a + 3/448*a**8 - 18*a**2 + 0 - 1/56*a**7 + 1/16*a**5 + 0*a**3 - 1/160*a**6 - 1/16*a**4. What is j in u(j) = 0?
-1, 0, 2/3, 1
Find d, given that -26/3*d**4 + 4*d**5 - 4/3*d - 8/3*d**3 + 26/3*d**2 + 0 = 0.
-1, 0, 1/6, 1, 2
Let b(f) = f**2 - f + 2. Let v be b(0). Suppose -2*c = v*s - 3*s, -c - 3 = -s. Suppose -3*o**4 - 12*o**3 - 145 + 145 - 15*o**2 - s*o = 0. What is o?
-2, -1, 0
Let y(w) be the first derivative of -w**3/2 + 171*w**2/4 - 84*w + 214. Let y(u) = 0. Calculate u.
1, 56
Let c = 25 - -80. Let j = -100 + c. Solve 3*d**3 + 0 + 15/8*d**4 + 0*d + 3/2*d**2 + 3/8*d**j = 0 for d.
-2, -1, 0
Let t be -1 + (5/(-5) - -9). Let w(d) be the third derivative of 1/20*d**6 + 0 - 13/60*d**5 - 5*d**2 + 0*d - 1/210*d**t - 2/3*d**3 + 1/2*d**4. Factor w(q).
-(q - 2)**2*(q - 1)**2
Suppose 17*t - 24*t + 35 = 0. Let i be 7*t*(-24)/(-980). Let 4/7*h**2 + 2/7 + 4/7*h**3 + 2/7*h**5 - i*h**4 - 6/7*h = 0. What is h?
-1, 1
Let w(f) be the second derivative of 7*f**5/10 + 47*f**4 + 960*f**3 + 800*f**2 - 335*f. Factor w(l).
2*(l + 20)**2*(7*l + 2)
Let i = 170 + -171. Let c(u) = -18*u**2 - 9*u - 6. Let l(r) = r**2 + r - r. Let x(z) = i*c(z) - 15*l(z). Factor x(s).
3*(s + 1)*(s + 2)
Let t(z) be the first derivative of -z**5/300 - z**4/20 - 3*z**3/10 - 41*z**2/2 + 7. Let h(p) be the second derivative of t(p). Factor h(o).
-(o + 3)**2/5
Let b be (-592)/3256 - 1*(-142)/55. Factor -b*x + 6/5*x**2 + 3/5*x**3 - 24/5.
3*(x - 2)*(x + 2)**2/5
Let b = -50 - -29. Let d(u) = -3*u - 62. Let t be d(b). What is q in 3/2*q - 1/2*q**4 + t - 1/2*q**2 - 3/2*q**3 = 0?
-2, -1, 1
Suppose 4*g - 4*t = -436, -2*g + 5*t + 565 = -7*g. Let u = g + 779/7. Factor 4/7*y + 2/7*y**2 + u.
2*(y + 1)**2/7
Let v(j) be the second derivative of -j**7/21 - 4*j**6/5 - 26*j**5/5 - 16*j**4 - 64*j**3/3 + 219*j. Determine w so that v(w) = 0.
-4, -2, 0
Let i = -279 + 279. Let d(r) be the second derivative of 1/15*r**6 - 2/5*r**5 + 2/3*r**4 + 0*r**3 - 4*r + i*r**2 + 0. Factor d(q).
2*q**2*(q - 2)**2
Let d be ((-3)/(-4))/((-104)/(-234000)). Find u such that 225/2*u**2 - d*u - 5/2*u**3 + 16875/2 = 0.
15
Let s(v) be the first derivative of 0*v**3 - 2/5*v**2 - 1 - 2/5*v + 2/25*v**5 + 1/5*v**4. Factor s(o).
2*(o - 1)*(o + 1)**3/5
Suppose -32 = -8*y - 32. Let j(m) be the second derivative of 0 + y*m**3 + 5*m + 0*m**2 + 1/2*m**5 - 1/3*m**4. Factor j(a).
2*a**2*(5*a - 2)
Let t(w) be the first derivative of 0*w**3 + 9/2*w**2 + 1/210*w**5 - 1/42*w**4 + 0*w + 6. Let c(j) be the second derivative of t(j). Factor c(o).
2*o*(o - 2)/7
Let w(x) be the third derivative of -x**7/336 + x**6/72 - x**5/48 - 2*x**3 + 14*x**2. Let z(o) be the first derivative of w(o). Solve z(m) = 0.
0, 1
Let i(j) be the second derivative of j**4/48 + 9*j**3/8 + 13*j**2/4 + 122*j. Suppose i(v) = 0. What is v?
-26, -1
Factor -1/6*b**2 - 37/6 + 19/3*b.
-(b - 37)*(b - 1)/6
Let w be (-24)/32 + 22/8. Let -7 - 32*q**w - 1 - 2 - 45*q + 12*q**2 = 0. Calculate q.
-2, -1/4
Factor -3/5*s**4 + s**5 - 2/5*s**3 + 0 + 0*s + 0*s**2.
s**3*(s - 1)*(5*s + 2)/5
Let a = -42 - -47. Let u be (6 - a)/(0 + 2/10). Factor 0 + 0*t + 1/4*t**u + 0*t**2 - 1/2*t**4 + 0*t**3.
t**4*(t - 2)/4
Let f be (5/((-60)/32))/(6/(-63)). Suppose 64*j + 32*j**2 + 6*j**4 - f*j**3 - 4*j**4 + 5*j**4 - 3*j**4 = 0. Calculate j.
-1, 0, 4
Factor -3/7*w**4 - w**3 + 0*w + 0 + 6/7*w**2.
-w**2*(w + 3)*(3*w - 2)/7
Let p(n) be the third derivative of 1/15*n**6 + 5/6*n**5 + 0 + 7/2*n**4 + 3*n**3 + 0*n + 4*n**2. Factor p(a).
2*(a + 3)**2*(4*a + 1)
Let y be (-3 + 1)*(-4)/8 - -28. Let b = -29 + y. Factor b + 1/4*u**4 - 1/4*u**3 + 0*u**2 + 0*u.
u**3*(u - 1)/4
Let m(x) = -x**2 - 9*x - 5. Let j be m(-8). Solve o + 37*o**3 - o - 33*o**j = 0 for o.
0
Let c = -23/8186 + 3047241/3642770. Let o = c + -3/89. Factor -o*k**2 + 6/5*k**4 - 6/5*k + 4/5*k**3 + 2/5*k**5 - 2/5.
2*(k - 1)*(k + 1)**4/5
Let j(x) be the second derivative of 2/15*x**6 + 0*x**2 - 4/3*x**3 + 7*x + 0 - x**4 + 0*x**5. Factor j(h).
4*h*(h - 2)*(h + 1)**2
Let v(l) be the second derivative of l**6/180 - 7*l**5/60 + 13*l**4/72 - 92*l. Let v(o) = 0. What is o?
0, 1, 13
Suppose l + 160 = 17*l. Let y be (-6)/l - (-6 - (-27)/5). Solve 2*c**3 + 4/7*c**2 + y*c + 0 = 0.
-2/7, 0
Let i(w) be the second derivative of w**5/15 - w**4/3 - 19*w**2/2 - 11*w. Let g(f) be the first derivative of i(f). Suppose g(s) = 0. Calculate s.
0, 2
Let h(o) be the third derivative of o**5/360 + o**4/144 - o**3/6 - 90*o**2. Let h(d) = 0. What is d?
-3, 2
Let w(x) be the third derivative of -27*x**2 + 0 - 1/30*x**5 - 1/735*x**7 + 0*x**3 + 1/84*x**6 + 0*x + 1/28*x**4. Factor w(m).
-2*m*(m - 3)*(m - 1)**2/7
Let w be ((-18)/10 + 2)/((-316)/(-2765)). What is s in w*s**4 + 1/4*s**5 + 3/4 + 13/4*s + 9/2*s**3 + 11/2*s**2 = 0?
-3, -1
Let x(z) be the second derivative of -z**4/66 + 13*z**3/33 + 14*z**2/11 - 13*z + 2. Factor x(j).
-2*(j - 14)*(j + 1)/11
Let n be 2/(-8) + 0 + (-6158)/(-11704). Let u = 2/209 + n. Factor 2/7*i**5 + u*i + 0*i**2 + 0 