2*u. Suppose -2 + 0*q**2 + 0*q**2 - q + u*q**2 - q**2 = 0. Calculate q.
-1, 2
Let a(x) be the third derivative of -x**5/150 + x**4/20 + 4*x**3/15 - x**2 - 3*x. Solve a(t) = 0.
-1, 4
Let y be 1*((-7)/6 - 15/(-10)). Factor 0 + y*m**3 + 0*m + 0*m**2 - 1/3*m**4.
-m**3*(m - 1)/3
Suppose 0 = 5*n - i - 25, 3*n - 4*i - 15 = -3*i. Let f(x) be the third derivative of 0*x + 0 + 1/270*x**n + 2/27*x**3 - 1/36*x**4 - 4*x**2. Factor f(d).
2*(d - 2)*(d - 1)/9
Let x(t) = t**2 + 139*t + 4469. Let y(o) = -o + 4. Let i(d) = -x(d) - 5*y(d). Determine f, given that i(f) = 0.
-67
Let u be 6/69 + 136/23 + -6. Factor 2/3*s**3 + 2/3*s + 4/3*s**2 + u.
2*s*(s + 1)**2/3
Let q = 22 - 9. Let n = 8 + q. Factor -n*i**4 + 3*i - 18*i**2 + 8*i**4 + 9*i**5 - 17*i**4 + 36*i**3.
3*i*(i - 1)**3*(3*i - 1)
What is b in 8*b**4 - 110*b**5 - 114*b**5 + 184*b**2 + 32*b**3 - 14*b - 12 + 106*b**3 - 280*b**4 = 0?
-1, -1/4, 2/7, 3/4
Suppose -2*q**4 + 20983*q**3 + 20*q**2 + 32*q - 20947*q**3 - 86*q**2 = 0. Calculate q.
0, 1, 16
Factor -2/5*t**2 - 72/5 + 6*t.
-2*(t - 12)*(t - 3)/5
Let g(u) be the first derivative of -u**5/3 - 25*u**4/12 - 10*u**3/3 + 10*u**2/3 - 28*u + 31. Let h(i) be the first derivative of g(i). Let h(d) = 0. What is d?
-2, 1/4
Let u = -920 + 11041/12. Let c(d) be the third derivative of u*d**4 + 1/60*d**5 + 0 + 0*d - 1/2*d**3 + 2*d**2. Factor c(v).
(v - 1)*(v + 3)
Let x(y) be the first derivative of 5 + 0*y**2 - 1/9*y**3 + 0*y. Factor x(h).
-h**2/3
Let w(v) be the third derivative of -v**6/120 - v**5/12 - 7*v**4/24 - v**3/2 - 3*v**2 + v. Factor w(s).
-(s + 1)**2*(s + 3)
Let m(j) be the third derivative of j**6/40 + 3*j**5/20 - 9*j**4/8 + 5*j**3/2 - 28*j**2. Factor m(y).
3*(y - 1)**2*(y + 5)
Let -264/5*u - 3/5*u**2 - 5808/5 = 0. Calculate u.
-44
Let m(x) = -x**2 + 33*x + 70. Let n be m(35). Let p(i) be the third derivative of 0 + n*i - 1/195*i**5 + 1/780*i**6 + 0*i**3 - 7*i**2 + 1/156*i**4. Factor p(g).
2*g*(g - 1)**2/13
Let p(g) = -g**2 - 3*g + 4. Let n be p(-3). Find l such that 34*l**n - 37*l**4 + 6*l + 2*l**2 + 7*l**2 = 0.
-1, 0, 2
Suppose 5*s**3 + 30*s + 15 + 16*s + 25*s**2 - 11*s = 0. Calculate s.
-3, -1
Suppose 4489*o - 4344*o = 0. Factor 10/7*g + 2/7*g**2 + o.
2*g*(g + 5)/7
Suppose 103*m**4 - 120*m + 95*m**4 - 8 + 105*m**3 - 164*m**2 - 3*m**3 - 8 = 0. What is m?
-2/3, -2/11, 1
Let m be (0/(-9))/(9 - 6). Factor 4/19 + 6/19*i + m*i**2 - 2/19*i**3.
-2*(i - 2)*(i + 1)**2/19
Suppose -w**3 - 65*w + 147*w**2 - 6*w**3 - 180 - 103*w - 2*w**3 = 0. Calculate w.
-2/3, 2, 15
Determine t so that 28/19*t**2 - 34/19*t**3 + 320/19*t - 6/19*t**4 + 192/19 = 0.
-4, -2/3, 3
Let l(j) = -j**2 - 10*j + 11. Let q be l(-11). Factor q*p**3 - 4*p**3 + 3*p**3 + 4*p**5 + 4*p - 7*p**3.
4*p*(p - 1)**2*(p + 1)**2
Let i(q) be the second derivative of -q**5/160 - 3*q**4/16 - 11*q**3/16 - q**2 - 4*q + 31. Factor i(y).
-(y + 1)**2*(y + 16)/8
Let z(h) be the third derivative of -1/3*h**4 + 19*h**2 + 2/15*h**5 + 0 + 0*h - 1/60*h**6 + 0*h**3. Factor z(q).
-2*q*(q - 2)**2
Let j(h) = 6*h**3 - 12*h**2 + h. Let w(m) = -2*m**3 - m**3 + 17*m**2 - 11*m**2. Let b = 3 - 0. Let n(l) = b*j(l) + 5*w(l). Suppose n(r) = 0. Calculate r.
0, 1
Let u = -41 + 42. Let j(f) = -f**2 - f - 1. Let w(s) = 6*s**2 + 3*s. Let p(x) = u*w(x) + 3*j(x). Factor p(r).
3*(r - 1)*(r + 1)
Let d(k) be the first derivative of -k**4/22 - 8*k**3/33 - 71. Factor d(h).
-2*h**2*(h + 4)/11
Let f(z) be the second derivative of -z**6/30 - 3*z**5/20 + z**4/3 + 17*z. Suppose f(q) = 0. Calculate q.
-4, 0, 1
Let t = -2259 + 11307/5. Factor 2/5*q - 8/5*q**4 + 0 - 8/5*q**2 + t*q**3 + 2/5*q**5.
2*q*(q - 1)**4/5
Let a be (4 - 3)*-1 + 3. Suppose 3*t + t + t**2 + 3*t**a = 0. What is t?
-1, 0
Let r = -520 - -520. Let v(p) be the first derivative of r*p - 4/3*p**3 + 1 + 6*p**2. Factor v(h).
-4*h*(h - 3)
Let b(m) be the first derivative of -9*m**5/10 + 7*m**4 - 19*m**3/2 + 5*m**2/2 - 93. Factor b(t).
-t*(t - 5)*(t - 1)*(9*t - 2)/2
Let o(x) be the first derivative of -x**6/6 - 4*x**5/5 + 16*x**3/3 + 8*x**2 + 112. Factor o(w).
-w*(w - 2)*(w + 2)**3
Let h(x) be the first derivative of x**6/3 - 12*x**5/5 + 7*x**4 - 32*x**3/3 + 9*x**2 - 4*x - 107. Find k, given that h(k) = 0.
1, 2
Let a be 3/4 + (-27)/4*-3. Factor 33*d - 68 + a - 12*d**2 + 29.
-3*(d - 2)*(4*d - 3)
Let u = -246 + 244. Let d be ((-8)/(-10))/(0 - 1/u). Let 0 - 42/5*p**4 + d*p - 48/5*p**2 + 74/5*p**3 + 8/5*p**5 = 0. What is p?
0, 1/4, 1, 2
Let j = -3220/3 + 1084. Let f = -23 + 25. Suppose -j*l**f - 2/3 + 16/3*l = 0. Calculate l.
1/4
Let f(x) be the second derivative of -x**7/126 - x**6/6 + 17*x**5/60 + 5*x**4/12 - 8*x**3/9 - 361*x. Solve f(z) = 0 for z.
-16, -1, 0, 1
Suppose 5*v - 6 = 2*v. Determine z so that z**5 + 16*z**2 + 13*z - 16 - z**4 - 8*z**3 + 3*z - 10*z**2 + 2*z**v = 0.
-2, 1, 2
Let i = -1 - -16. Let u be (i/6 - 1) + 8/(-48). Factor -5/3*j**3 + u*j**4 + 0*j + 1/3*j**2 + 0.
j**2*(j - 1)*(4*j - 1)/3
Let j(s) be the first derivative of 2*s**3/21 - 20*s**2/7 + 200*s/7 - 115. Suppose j(m) = 0. What is m?
10
Let k(f) be the third derivative of -f**8/448 - 3*f**7/280 + 3*f**6/80 + f**5/8 - 21*f**4/32 + 9*f**3/8 - 271*f**2. Factor k(m).
-3*(m - 1)**3*(m + 3)**2/4
Let t(d) = d**3 + 15*d**2 - d - 10. Let o = 31 - 46. Let s be t(o). Determine q so that 2 + q**s - 2*q**2 - 3*q**3 + 9*q - q**3 - 6*q + 0*q**2 = 0.
-1, 1, 2
Let n(a) be the first derivative of 0*a + 15/2*a**2 + 19 - a**3. Factor n(o).
-3*o*(o - 5)
Let h(r) = -r + 12. Let u be h(-12). Factor u*d**3 + 2*d**2 - 9*d**3 + 3*d**2 + 5*d**4 + 5*d**2.
5*d**2*(d + 1)*(d + 2)
Let x(s) be the second derivative of 2*s**6/135 - 2*s**5/45 + 95*s. Factor x(l).
4*l**3*(l - 2)/9
Let b(k) be the second derivative of k**4/9 - 2*k**3/9 + 32*k. Factor b(h).
4*h*(h - 1)/3
Factor 1216/5*n**2 - 1792/5*n - 80*n**3 + 64/5*n**4 - 4/5*n**5 + 1024/5.
-4*(n - 4)**3*(n - 2)**2/5
Let q(g) be the first derivative of g**4/11 - 2*g**3/3 + 13*g**2/11 - 8*g/11 + 1. Find i such that q(i) = 0.
1/2, 1, 4
Let 2/5*u**2 + 22/5*u - 84/5 = 0. Calculate u.
-14, 3
Let k be (6 + (6/39 - 6))/(-1)*-2. Find f, given that 6/13*f + 2/13*f**5 + 0*f**4 + 4/13*f**2 - 8/13*f**3 - k = 0.
-2, -1, 1
Determine h, given that 14/9*h**5 + 8/3*h**2 + 0 - 16/9*h + 92/9*h**3 + 22/3*h**4 = 0.
-2, -1, 0, 2/7
Let d be (-16)/(-6) + 14/(-21). Determine x so that -4 - 3*x**2 + 2*x + d*x**2 + 3*x = 0.
1, 4
Suppose -253 - 33 = -22*q. Suppose -q*z = -3 - 36. Find l, given that 0*l - 10/9*l**4 - 8/9*l**2 + 16/9*l**z + 0 + 2/9*l**5 = 0.
0, 1, 2
Let k(b) = b**3 - b**2 + 2*b. Let c(m) = 6*m**3 + 4*m**2 - 16*m. Let q(x) = c(x) - 4*k(x). Factor q(w).
2*w*(w - 2)*(w + 6)
Find g such that -4/3 - 44*g - 65/3*g**2 = 0.
-2, -2/65
Let u(b) = -b**2 - 1. Let t(w) = -w - 11. Let i be t(-9). Let m(j) = 3*j**2 + 2*j + 3. Let h(z) = i*u(z) - m(z). Factor h(l).
-(l + 1)**2
Let r(b) = b + 12. Let f be r(-9). Solve -7*n**5 + 4*n**3 - n**f + 8*n**5 - 4*n**4 = 0.
0, 1, 3
Factor -23*w**3 + 9*w**3 + 10*w**3 + 12*w**2.
-4*w**2*(w - 3)
Suppose 0 = 3*v - 3*t + 176 + 64, 3*v = -2*t - 225. Let f = 315/4 + v. Factor 3*c**3 + f*c**4 - 1/2*c + 3/4*c**2 + 0.
c*(c + 1)**2*(7*c - 2)/4
Factor 0*d - 4/7*d**2 + 2/7*d**4 + 0 - 2/7*d**3.
2*d**2*(d - 2)*(d + 1)/7
Let h be 21*(-288)/(-28)*3/6. Let v be (h/15 + -5)*2. Factor -8/5*k**3 - v*k**2 - 24/5*k - 1/5*k**4 - 9/5.
-(k + 1)**2*(k + 3)**2/5
Let a = -187 + 189. Let d be (1 + 2 - -2) + -2. Determine k, given that k**a - 35 + k**d + 35 = 0.
-1, 0
Let f(n) = -n + 3. Let l be f(3). Suppose -5*x + 3*x + 6 = l. Factor 3*k**4 - 5*k + k**4 + 4*k**x + k**3 - 1 - 3*k**2.
(k - 1)*(k + 1)**2*(4*k + 1)
Let r(u) be the first derivative of -u**7/3780 + 7*u**6/1620 - u**5/36 + u**4/12 - 3*u**3 + 8. Let i(t) be the third derivative of r(t). Factor i(j).
-2*(j - 3)**2*(j - 1)/9
Let z(l) be the first derivative of -3*l**5/20 - 3*l**4/4 - l**3 - 212. Factor z(n).
-3*n**2*(n + 2)**2/4
Let p(c) be the first derivative of 2*c**5 - 3*c**4 - 16*c**3/3 - 153. Factor p(j).
2*j**2*(j - 2)*(5*j + 4)
Factor 2/7*m**3 + 32/7*m**2 + 40/7*m + 0 - 2/7*m**4.
-2*m*(m - 5)*(m + 2)**2/7
Let k(r) be the third derivative of -r**5/270 - 7*r**4/108 + 2*r**2 - 52. Factor k(d).
-2*d*(d + 7)/9
Let f(t) be the second derivative of -t**7/105 - 7*t**6/75 - 13*t**5/50 - t**4/30 + 14*t**3/15 + 8*t**2/5 - 74*t. Let f(b) = 0. What is b?
-4, -2, -1, 1
Let j(s)