hat is v?
-4, -1, -2/3
Suppose 0 = -4*f + 8, 0*z + 4*z - f = 278. Solve 20*j**4 - z*j + 2401 - 18*j**3 + 294*j**2 - 1302*j - 19*j**4 - 10*j**3 = 0.
7
Let -12*r**2 + 9*r + 0*r**4 + 3/4*r**5 + 12 - 39/4*r**3 = 0. What is r?
-2, -1, 1, 4
Let b be ((-21)/(-105))/(1 + 33/5). Let h = 29/19 - b. Factor -36*y - 12*y**3 + h*y**4 + 33*y**2 + 27/2.
3*(y - 3)**2*(y - 1)**2/2
Let w be 7 + -10 + 15/(-3). Let a(h) = 2*h + 16. Let i be a(w). Determine n, given that i - 2/13*n**2 + 8/13*n = 0.
0, 4
Let f be 150/(-36) + 4 + 1 + (-4)/12. Factor 1/4*b + 1/2 - 1/4*b**3 - f*b**2.
-(b - 1)*(b + 1)*(b + 2)/4
Let i(l) = 2*l**3 - 2*l**2 + l + 2. Let y = 4 - 8. Let n(h) = -3*h**3 + 3*h**2 - h - 3. Let u(t) = y*i(t) - 3*n(t). Let u(a) = 0. What is a?
-1, 1
Suppose 13 = 4*h - y, -5*h + 23 - 5 = -3*y. Let d(b) be the first derivative of 0*b - 3 + 1/6*b**2 + 1/9*b**h. Find j such that d(j) = 0.
-1, 0
Let z = 17/42 - 5/21. Let c(d) be the second derivative of -1/12*d**3 + 0*d**4 + 1/120*d**5 + z*d**2 + 0 + d. Factor c(h).
(h - 1)**2*(h + 2)/6
Let z be ((-81)/(-9))/(3/2). Let b(d) = 1 + 4*d - 9*d**2 - z - 21*d + 1. Let f(k) = -44*k**2 - 86*k - 20. Let m(s) = -16*b(s) + 3*f(s). Solve m(u) = 0.
-2/3, -1/2
Let n(i) = 5*i**3 + 2*i**2 - 2. Let g be n(1). Let q(x) = -x**2 - 5*x - 9. Let l(h) = 2*h**2 + 6*h + 8. Let w(y) = g*l(y) + 4*q(y). Factor w(m).
2*(m + 1)*(3*m + 2)
Suppose -1/3*n**4 + 0 + 0*n - 2*n**2 - 5/3*n**3 = 0. What is n?
-3, -2, 0
Suppose -4*l + 8*l - 128 = 0. Factor -12*h**2 - 12*h + 0*h - 35*h**3 + l*h**3.
-3*h*(h + 2)**2
Let x(k) be the third derivative of -k**6/360 + 11*k**5/180 - 13*k**4/24 + 5*k**3/2 - 51*k**2. Factor x(v).
-(v - 5)*(v - 3)**2/3
Let i(z) be the second derivative of 1/42*z**3 + 1/70*z**6 + 3/7*z**2 - 22*z - 13/84*z**4 - 1/28*z**5 + 0. Factor i(f).
(f - 3)*(f + 1)**2*(3*f - 2)/7
Let v be (2/(-3))/(18/(-81)). Suppose -15 = -5*f - q, -q + 4 = -v*f + 21. Factor -f*m**4 - 3*m**3 - m**5 + 2*m**5 - 4*m**2 + 3*m**3 + m + 6*m**3.
m*(m - 1)**4
Suppose -279 + 87 = -112*o + 32. Factor 3/2*p**o - 9/2*p**3 - 3/2 + 9/2*p.
-3*(p - 1)*(p + 1)*(3*p - 1)/2
Let c(r) be the first derivative of r**6/27 + 2*r**5/9 + r**4/6 - 34*r**3/27 - 28*r**2/9 - 8*r/3 + 972. Let c(p) = 0. What is p?
-3, -2, -1, 2
Let d(h) be the third derivative of 13/140*h**6 + 29/105*h**5 + 0 + 0*h + 3/245*h**7 + 8/21*h**3 + 3/7*h**4 - 10*h**2. What is l in d(l) = 0?
-2, -1, -2/3
Let f(d) be the first derivative of -2*d**6/3 + 112*d**5/5 - 221*d**4 + 1352*d**3/3 - 478. Factor f(t).
-4*t**2*(t - 13)**2*(t - 2)
Factor 4/3*a + 14/3*a**4 + 0 + 22/3*a**2 + 32/3*a**3.
2*a*(a + 1)**2*(7*a + 2)/3
Let a(j) be the second derivative of 3*j**5/80 + 103*j**4/16 + 325*j**3 - 1014*j**2 - 538*j. Let a(x) = 0. Calculate x.
-52, 1
Let u = 19 + -10. Let b be ((-45)/10)/(u/(-12)). What is c in -b + c**3 - 3*c + 21*c**2 + 2*c**3 - 15*c**2 = 0?
-2, -1, 1
Let d(y) be the first derivative of -y**6/180 - y**5/120 + y**4/72 + y**3/36 + 10*y + 11. Let w(g) be the first derivative of d(g). Find q, given that w(q) = 0.
-1, 0, 1
Let i(o) = 3*o**4 + 9*o**3 - 10*o - 2. Let x(t) = 15*t**4 + 45*t**3 - 49*t - 11. Let q(b) = -11*i(b) + 2*x(b). Determine h, given that q(h) = 0.
-2, 0, 1
Let u be ((-589)/(-145))/((1 - -2)/3). Let o = 33/29 + u. Suppose 8/5*n**3 + 6/5*n + 0 + o*n**2 = 0. Calculate n.
-3, -1/4, 0
Solve -34/3*g + 1/3*g**2 + 11 = 0.
1, 33
Let t(o) be the third derivative of -o**9/20160 - o**8/6720 - 11*o**5/30 + o**2. Let a(z) be the third derivative of t(z). Solve a(d) = 0 for d.
-1, 0
Let c(w) = w**2 + 5*w - 1. Let z(u) = 4*u**3 - 138*u**2 + 990*u + 1162. Let r(x) = -6*c(x) - z(x). Suppose r(j) = 0. What is j?
-1, 17
Let f(h) be the first derivative of 2*h**5/25 - h**4 + 64*h**3/15 - 38*h**2/5 + 6*h + 470. Factor f(s).
2*(s - 5)*(s - 3)*(s - 1)**2/5
Let i(b) be the first derivative of b**6/10 - 21*b**5/25 - 117*b**4/20 - 53*b**3/5 - 33*b**2/5 - 151. What is a in i(a) = 0?
-2, -1, 0, 11
Suppose 2*t - 23 = -3*m, -9 = -2*t - 396*m + 395*m. Let 5/2*q**3 - 1/2*q**2 + 3/2*q**4 - t - 5/2*q = 0. What is q?
-1, -2/3, 1
Let q(h) be the third derivative of -34*h**2 - 13/140*h**5 - 2/7*h**3 + 0 - 3/14*h**4 - 1/490*h**7 + 0*h - 3/140*h**6. Factor q(m).
-3*(m + 1)**2*(m + 2)**2/7
Suppose 6 = -2*r - 3*j, 4*r - 3*j - 18 = 2*r. Suppose 1/2 - f + 0*f**2 + f**r - 1/2*f**4 = 0. What is f?
-1, 1
Suppose 74 = 26*u - 82. Let s be (u/(-8))/(-1*(-2)/(-8)). Factor 0*k + 0 + 2/3*k**2 - 4/3*k**s + 2/3*k**4.
2*k**2*(k - 1)**2/3
Let y(w) = -64*w - 4. Let n(a) = a + 6. Let o be n(-10). Let j be y(o). Let -252 + 9*p**2 + j - 9*p**4 + 3*p**3 - 3*p = 0. What is p?
-1, 0, 1/3, 1
Factor 36*i**2 - 6*i - 3*i + 33*i**3 + 22*i - 3*i + 9*i**4 + 2*i.
3*i*(i + 1)*(i + 2)*(3*i + 2)
Let a(f) = -f**4 - f**3 + f**2 + f. Let g be 16/(-10) - ((-18)/5 - -4). Let m(z) = -9*z**4 + 10*z**3 - z**2. Let q(r) = g*m(r) + 4*a(r). Factor q(j).
2*j*(j - 1)**2*(7*j + 2)
Let d(t) be the third derivative of -t**8/120960 + t**7/3024 - 5*t**6/864 - t**5/4 + 9*t**2. Let s(q) be the third derivative of d(q). Factor s(n).
-(n - 5)**2/6
Let f = -215/3 - -863/12. Let x(s) = 4*s**2 - 2*s + 1. Let i be x(1). Let 0*b + 3/4*b**2 - f*b**i - 1 = 0. What is b?
-1, 2
Suppose 129*m**4 + 24*m + 293*m**3 - 914*m**3 + 308*m**3 + 295*m**3 - 180*m**2 + 45*m**5 = 0. Calculate m.
-2, 0, 2/15, 1
Let w = -788 + 3952/5. Let h = 1248 + -6237/5. Solve 0*i + w - h*i**2 = 0 for i.
-2, 2
Let z(h) be the second derivative of h**4/27 + 14*h**3/9 + 136*h**2/9 + 112*h. Let z(j) = 0. Calculate j.
-17, -4
Factor -2*z + z**2 + 5*z + 102 - 101 - z.
(z + 1)**2
Factor 10/3*p**4 - 3/2*p**5 + 0*p + 1/3*p**2 - 13/6*p**3 + 0.
-p**2*(p - 1)**2*(9*p - 2)/6
Solve -16/3*s**2 + 1/3*s**4 + 0*s**3 + 0*s + 0 = 0.
-4, 0, 4
Let u(h) be the first derivative of -h**6/69 - 4*h**5/23 - 25*h**4/46 + 40*h**3/69 + 80*h**2/23 - 128*h/23 - 28. Factor u(z).
-2*(z - 1)**2*(z + 4)**3/23
Factor 111/2*u**2 - 1/2*u**3 + 3025/2 - 3135/2*u.
-(u - 55)**2*(u - 1)/2
Let p(t) = t - 1. Let h(n) be the third derivative of n**5/20 - 11*n**4/24 - 2*n**3/3 - 20*n**2. Let q(j) = -h(j) - 5*p(j). Find r, given that q(r) = 0.
-1, 3
Let t(r) be the second derivative of -r**6/70 - 27*r**5/70 - 47*r**4/28 - 15*r**3/7 - 44*r. Solve t(q) = 0 for q.
-15, -2, -1, 0
Let s(a) be the second derivative of 0 - 1/240*a**5 - 10*a - 1/32*a**4 + 0*a**3 + 7/2*a**2. Let v(p) be the first derivative of s(p). Let v(l) = 0. What is l?
-3, 0
Let l(r) be the second derivative of 2*r**7/21 + 4*r**6/15 - 3*r**5/5 - 8*r**4/3 - 8*r**3/3 - 2*r + 5. Suppose l(g) = 0. What is g?
-2, -1, 0, 2
Let i(u) = u**2 + u + 1. Let n(o) = -o**2 + 3*o - 1. Let g be n(3). Let v be i(g). Factor -z**2 - v - 5 - 3*z + 6*z**2 - 2*z**2.
3*(z - 2)*(z + 1)
Let h(r) be the third derivative of r**8/112 + 4*r**7/35 + 3*r**6/5 + 17*r**5/10 + 23*r**4/8 + 3*r**3 - 29*r**2. Solve h(l) = 0.
-3, -2, -1
Let m(f) be the first derivative of f**6/6 + 11*f**5/20 + 7*f**4/12 + f**3/6 - 35*f - 38. Let t(l) be the first derivative of m(l). Factor t(w).
w*(w + 1)**2*(5*w + 1)
Let l = -3 + 7. Suppose l*s - 9 = s. Factor -19 + 12*j - 4*j**4 + 5*j - j - 8*j**3 + s + 12*j**2.
-4*(j - 1)**2*(j + 2)**2
Let g be (-9)/33 + -36*(-72)/1760. Let -69/5*q**3 - 6/5*q**5 - 69/5*q**2 - 33/5*q**4 - g - 33/5*q = 0. What is q?
-2, -1, -1/2
Let v be -3 + 3/((-12)/(-16)). Let s be ((-54)/(-63))/((24/21)/v). Factor 3/4*h**5 + 0*h + 9/4*h**3 + 0 + s*h**2 + 9/4*h**4.
3*h**2*(h + 1)**3/4
Let v = 2973 + -8909/3. Find q, given that -v*q**3 - 8/3*q**4 + 0*q - 2/3*q**5 + 0 - 4/3*q**2 = 0.
-2, -1, 0
Let s(m) be the first derivative of 30 - 6*m**2 + 0*m + 4/3*m**3. Factor s(t).
4*t*(t - 3)
Let m(g) be the first derivative of -2 - 1/9*g**3 + 1/30*g**5 + 0*g**4 + 0*g**2 - g. Let r(d) be the first derivative of m(d). Factor r(v).
2*v*(v - 1)*(v + 1)/3
Let j(k) be the second derivative of 2*k**4 + 2/15*k**6 + 0 - 23*k - 16*k**2 - k**5 + 8/3*k**3. Determine r so that j(r) = 0.
-1, 2
Let i be (-2)/(9 - 7) + 4 + 2 + -3. Solve -34/9*t**3 + 4/9 - 22/9*t + 10/9*t**4 + 14/3*t**i = 0 for t.
2/5, 1
Let y(w) be the second derivative of 3/20*w**5 - 1/2*w**3 + 2*w**2 - 23/24*w**4 + 13*w + 0. Suppose y(m) = 0. Calculate m.
-2/3, 1/2, 4
Let f(w) be the second derivative of -w**6/150 + w**5/25 + w**4/10 - 2*w**3/15 - w**2/2 + 36*w. Factor f(a).
-(a - 5)*(a - 1)*(a + 1)**2/5
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