(y) + 13*i(y). What is v in x(v) = 0?
-8, -1, 2
Suppose -2*j + 4 = -0. Suppose 0 = -6*h + 4*h - 2*w + 8, h = -4*w - j. Factor 0 + 2*m - h*m + 0 - 4*m**3 + 8*m**2.
-4*m*(m - 1)**2
Let y(j) = 2*j**2 - 16*j - 18. Let i(b) = 5*b**2 - 17*b - 21. Let m(s) = -4*i(s) + 6*y(s). What is t in m(t) = 0?
-2, -3/2
Let g(x) = -x**3 - 3*x**2 + 17*x - 3. Let d be g(-6). Let -2*j**d + 16/5*j**2 + 0 + 2/5*j**4 - 8/5*j = 0. Calculate j.
0, 1, 2
Let h(q) be the first derivative of 10*q + 20 + 6*q**2 + 2/3*q**3. What is i in h(i) = 0?
-5, -1
Let t(i) be the third derivative of -i**5/40 - 167*i**4/16 - 83*i**3/2 - 434*i**2 + 2*i. Factor t(z).
-3*(z + 1)*(z + 166)/2
Suppose 0 - 192/7*s**2 + 368/7*s + 4/7*s**3 = 0. What is s?
0, 2, 46
Let g(l) be the second derivative of -3/2*l**3 + 0 - 6*l + 1/8*l**4 + 27/4*l**2. Factor g(b).
3*(b - 3)**2/2
Suppose -16*m = -22*m + 18. Let w(p) be the first derivative of 1/6*p**m + 0*p + 0*p**2 - 1/4*p**4 + 1/10*p**5 - 4. Suppose w(o) = 0. What is o?
0, 1
Let w(k) be the third derivative of -k**5/20 + 29*k**4/4 - 841*k**3/2 + 227*k**2. Factor w(b).
-3*(b - 29)**2
Factor 52/7*l + 16/7*l**2 - 24/7*l**3 + 24/7 - 8/7*l**4 + 4/7*l**5.
4*(l - 3)*(l - 2)*(l + 1)**3/7
Let h(k) = 4*k**2 + 8*k + 4. Let c(x) = 2*x**2 + 4*x + 2. Let o(l) = -l**2 + 2*l - 3. Let w be o(0). Let u(v) = w*h(v) + 5*c(v). Let u(n) = 0. Calculate n.
-1
Suppose -3*w + m + 0*m = -17, -w + 1 = 2*m. Let 2*h**3 - 52*h**2 + 18*h**w + 16 + 48*h**4 - 4*h - 13*h + 9*h = 0. Calculate h.
-2, -1, 2/3
Let u(v) be the first derivative of -v**7/420 + v**6/75 - 3*v**5/100 + v**4/30 - v**3/60 + 4*v - 12. Let y(p) be the first derivative of u(p). Solve y(c) = 0.
0, 1
Let f(n) = -n**2 + 7*n + 8. Let t be f(7). Suppose 41*c = 44*c - 12. Factor -2*h**3 + t - 8 - 3*h**c + h**4.
-2*h**3*(h + 1)
Let u(d) be the first derivative of -d**5/10 - 13*d**4/4 - 169*d**3/6 + 9. Factor u(w).
-w**2*(w + 13)**2/2
Suppose u + 66 - 16 = -3*n, 2*n + 56 = 5*u. Let i be (3/9)/(-3 + (-57)/n). Determine p, given that 0 - 1/5*p + 1/5*p**i = 0.
0, 1
Let i(m) be the second derivative of -m**8/6720 - m**7/840 - 5*m**4/6 - 3*m. Let s(q) be the third derivative of i(q). Determine c so that s(c) = 0.
-3, 0
Let f(a) = -a**3 - 15*a**2 + 34*a + 4. Let v be f(2). Factor 4/5*s**2 + 2/5*s**5 - 4/5*s**v + 0*s**3 - 2/5*s + 0.
2*s*(s - 1)**3*(s + 1)/5
Let d(w) be the first derivative of 10 + 0*w**3 + 0*w**2 - 1/5*w**5 + 0*w + 1/4*w**4. Find o, given that d(o) = 0.
0, 1
Let v = 81847/23683 + -3/2153. Let h = 516/143 - v. Factor -2/13*m + h*m**2 - 4/13.
2*(m - 2)*(m + 1)/13
Let g be (-12)/(-1) - (-473 - -483). What is d in 2/3*d + 1/3 + 1/3*d**g = 0?
-1
Let t(g) = g**3 - 12*g**2 - 45*g + 3. Let b be t(15). Let n(v) be the first derivative of 5/3*v**3 + 0*v - v**2 - v**4 + 1/5*v**5 + b. Factor n(d).
d*(d - 2)*(d - 1)**2
Let m be ((-26)/3*(-24)/(-140))/((-3)/15). Find x such that 0 - 24/7*x**4 + 16/7*x - 48/7*x**2 + 4/7*x**5 + m*x**3 = 0.
0, 1, 2
Let d be 3/(-2)*(-16)/20. Let u(k) be the first derivative of -1/5*k**3 - 5 - d*k**2 - 12/5*k. Factor u(l).
-3*(l + 2)**2/5
Factor 2*l**3 + 2*l**4 - 10*l - 2*l**5 + 13*l - 4*l + l**5 + 2 - 4*l**2.
-(l - 2)*(l - 1)**2*(l + 1)**2
Let l be 1 + 0 + 9 + -5 + -3. Let -4/11*f - 2/11*f**l + 0 - 6/11*f**5 + 2/11*f**4 + 10/11*f**3 = 0. What is f?
-1, -2/3, 0, 1
Find c, given that 1/3*c**2 - 23/3*c + 20 = 0.
3, 20
Let f(i) = -i**2 - 3*i + 3. Let n be f(-3). Suppose x - n*y = -4*x + 22, 0 = -4*x - 2*y + 22. Factor 21*g - 4*g**2 - 5 - 19 - x*g + 8.
-4*(g - 2)**2
Let r(t) be the first derivative of 0*t**2 + 6/85*t**5 + 0*t + 15 + 1/51*t**6 - 8/51*t**3 + 0*t**4. Factor r(j).
2*j**2*(j - 1)*(j + 2)**2/17
Let q(h) be the third derivative of -1/30*h**5 + 0*h + 1/336*h**8 - 1/2*h**4 - 1/35*h**7 + 4/3*h**3 + 11/120*h**6 - 27*h**2 + 0. Factor q(c).
(c - 2)**3*(c - 1)*(c + 1)
Let w = 42226/11837 - -7/1691. Factor w - 10/7*v + 1/7*v**2.
(v - 5)**2/7
Let k(t) be the first derivative of -1/2*t + 1/6*t**3 + 29 - 7/16*t**4 + 7/8*t**2. Find w, given that k(w) = 0.
-1, 2/7, 1
Suppose 0 = -80*q + 266 + 214. Let u(a) be the first derivative of -3/4*a - 8 + 3/8*a**2 - 3/20*a**5 + 1/8*a**q - 3/8*a**4 + 1/2*a**3. Factor u(y).
3*(y - 1)**3*(y + 1)**2/4
Let r(i) be the second derivative of 3/2*i**2 + 3/20*i**5 - 1/4*i**4 - 1/2*i**3 + 0 - 45*i. Let r(h) = 0. What is h?
-1, 1
Let f(g) = 12*g**2 - 15*g + 9. Let q be (-34)/6 + (-3)/18*2. Let t(s) = s**2 + s. Let i(d) = q*t(d) + f(d). Solve i(m) = 0 for m.
1/2, 3
Solve 1756*p**2 - 872*p**2 - 60 - 879*p**2 + 5*p = 0 for p.
-4, 3
Let v(z) be the second derivative of z**5/100 - z**4/30 - 606*z. Factor v(d).
d**2*(d - 2)/5
Let g(p) be the first derivative of 2*p**3/45 - 8*p**2/15 - 78. Factor g(d).
2*d*(d - 8)/15
Suppose -4/3*l**4 - 676/3 - 1456/3*l - 296*l**2 - 112/3*l**3 = 0. Calculate l.
-13, -1
Suppose 4*t - 3024 = 16*t. Let u = t + 254. Find p such that -3*p**u + 18*p + 27/2 + 3/2*p**4 - 6*p**3 = 0.
-1, 3
Solve 2*x**4 - 1/4*x**5 + 6*x**2 + 0 - 9/4*x - 11/2*x**3 = 0.
0, 1, 3
Let j(u) be the first derivative of 5*u**7/42 - u**6/2 + 3*u**5/4 - 5*u**4/12 + 14*u + 16. Let l(g) be the first derivative of j(g). Let l(w) = 0. Calculate w.
0, 1
Let u(o) = o**3 - 4*o**2 - 4*o - 1. Let g be u(5). Let h(t) be the third derivative of 0 + 0*t + 1/24*t**g - t**2 + 0*t**3 - 1/60*t**5. Factor h(x).
-x*(x - 1)
Factor 170 + 25*g**3 + 10*g**2 + 20*g**4 - 170 + 5*g**5.
5*g**2*(g + 1)**2*(g + 2)
Let a = 17150 + -11682. Suppose a*q - 5468*q - q**4 - 1 + 2*q**2 = 0. Calculate q.
-1, 1
Let k be (9 - 0)/((-114)/(-19) - (-11)/(-2)). Let 2/3*c**3 - 6*c**2 - k + 18*c = 0. What is c?
3
Let x(f) be the third derivative of f**5/210 + 31*f**4/14 + 2883*f**3/7 - 16*f**2 - f. Factor x(h).
2*(h + 93)**2/7
Let a = -29562 - -29566. Solve -18/7*j**a + 152*j - 56 - 228/7*j**3 - 554/7*j**2 = 0 for j.
-7, 2/3
Let w(c) be the second derivative of -c**5/4 - c**4/8 + 5*c**2/2 + 6*c. Let r(f) be the first derivative of w(f). Find h, given that r(h) = 0.
-1/5, 0
Factor -4/7*m**2 + 44/7*m + 240/7.
-4*(m - 15)*(m + 4)/7
Let d(w) be the first derivative of w**4/4 + 17*w**3/3 - w**2/2 - 14*w + 27. Let a be d(-17). Solve 0*f**a - 4/5*f**2 + 0*f + 4/5*f**4 + 0 = 0 for f.
-1, 0, 1
Let g(i) be the third derivative of i**9/13608 + i**8/3780 + i**7/3780 + i**3/6 - 11*i**2. Let s(y) be the first derivative of g(y). Factor s(x).
2*x**3*(x + 1)**2/9
Let w be 12/(-24) - ((-4)/(-8))/(24/(-36)). Let 0 - 9/4*k + w*k**2 = 0. What is k?
0, 9
Let -108/19*b + 2/19*b**2 + 1458/19 = 0. Calculate b.
27
Let q = -24 + 29. Let s(w) = 648*w**3 + 931*w**2 + 315*w + 32. Let n(d) = 3564*d**3 + 5120*d**2 + 1732*d + 176. Let r(c) = q*n(c) - 28*s(c). Factor r(y).
-4*(y + 1)*(9*y + 2)**2
Suppose -783*y - 411 = -920*y. Suppose -30/7*o**2 + 0 - 2/7*o**4 - 2*o**y - 18/7*o = 0. What is o?
-3, -1, 0
Let n = -202/3 - -68. Let v be (0 + (3 - 2))/((-516)/24 + 22). Factor -4/3*r**3 + 0*r**v - 2/3*r**4 + 4/3*r + n.
-2*(r - 1)*(r + 1)**3/3
Let h(v) be the third derivative of v**9/60480 + v**8/2880 + v**7/336 + v**6/80 + v**5/10 - 10*v**2. Let r(t) be the third derivative of h(t). Factor r(l).
(l + 1)*(l + 3)**2
Factor 7*q + 104 + 6*q**2 + 83*q + 70*q.
2*(q + 26)*(3*q + 2)
Factor 0 + 1/2*p**5 + 0*p + p**4 - 1/2*p**3 - p**2.
p**2*(p - 1)*(p + 1)*(p + 2)/2
Let k = -79/2 + 403/10. Find c, given that 0*c**3 + 4/5*c**5 + 0*c**2 + 0 + 0*c - k*c**4 = 0.
0, 1
Let m(o) be the first derivative of 17 + 7*o**2 + 8*o - 4*o**4 + 1/3*o**6 - 4/5*o**5 - 4/3*o**3. Determine r, given that m(r) = 0.
-1, 1, 4
Let i = -1497 + 1500. Let g(k) be the second derivative of i*k + 1/60*k**6 - 1/40*k**5 + 0 + 0*k**3 + 0*k**2 - 1/12*k**4. Factor g(l).
l**2*(l - 2)*(l + 1)/2
Let j(r) be the first derivative of 0*r - 18 + 1/18*r**4 - 1/3*r**2 + 4/27*r**3. Factor j(z).
2*z*(z - 1)*(z + 3)/9
Let j(v) = 6*v**4 - 8*v**3 - 24*v**2 + 4*v - 4. Let y(t) = t**4 - t**3 - 2*t**2 + t - 1. Let r(b) = -j(b) + 4*y(b). Factor r(u).
-2*u**2*(u - 4)*(u + 2)
Let g(x) be the second derivative of x**7/21 - x**6/15 - 3*x**5/10 + x**4/6 + 2*x**3/3 + 45*x - 1. Determine r, given that g(r) = 0.
-1, 0, 1, 2
Let c be 5/(-1)*(-4)/10. Suppose -12*t = 4*t - 32. Factor -2*i + 11*i - c*i**2 + i**3 - 7*i**2 + 3*i**t.
i*(i - 3)**2
Let p(r) = 11*r**4 + 43*r**3 - 103*r**2 - 48*r - 1. Let u(w) = -w**4 + w**3 - w**2 + 1. Let g(t) = -2*p