+ 4/3*b**2. Determine a, given that q(a) = 0.
-2, -1, 1, 2
Find b such that 0*b + 2*b**3 + 0 - 4/9*b**4 + 10/9*b**2 = 0.
-1/2, 0, 5
Let b(p) be the second derivative of 0 - 9*p**5 - 10*p - 1/6*p**2 - 36/5*p**6 - 9/2*p**4 - 7/6*p**3. Factor b(h).
-(3*h + 1)*(6*h + 1)**3/3
Factor 0 + 1156/5*h + 1/5*h**3 - 68/5*h**2.
h*(h - 34)**2/5
Suppose 0 + 0*u + 4/5*u**4 + 12/5*u**3 + 8/5*u**2 = 0. Calculate u.
-2, -1, 0
Suppose -1513*h - 5*s = -1518*h + 40, -4*h - 3*s = -32. What is f in 52/5*f - h + 12/5*f**2 = 0?
-5, 2/3
Let l(x) be the second derivative of -x**8/6720 + x**7/1680 - x**6/1440 + 25*x**3/6 - 46*x. Let w(o) be the second derivative of l(o). Factor w(s).
-s**2*(s - 1)**2/4
Let b(l) = 4*l**2 - 9*l - 2. Let g be b(3). Let a be ((-2)/g - 0)*7/(-7). Determine y so that -a*y**3 + 6/7*y**2 + 2/7 - 6/7*y = 0.
1
Determine t so that -13/4*t + 1/4*t**2 + 3 = 0.
1, 12
Let j(a) be the third derivative of 5*a**8/28 + 143*a**7/70 - a**6/40 - 157*a**5/20 - 19*a**4/8 + 7*a**3 - 11*a**2 - 9*a. Let j(k) = 0. What is k?
-7, -1, -2/5, 1/4, 1
Solve 3*t + 9/2 - 3/8*t**3 - 3/8*t**2 = 0.
-2, 3
Suppose 2*l + 2*j - 10 = -l, -2*l + 7 = j. Let x be (2/8)/(106/24 - l). Factor 0*g - x*g**2 + 3/5.
-3*(g - 1)*(g + 1)/5
Let i(p) be the second derivative of p**7/22680 + p**6/1296 + p**5/270 + p**4/6 + 12*p. Let v(q) be the third derivative of i(q). Factor v(k).
(k + 1)*(k + 4)/9
Let x(g) be the second derivative of 5/12*g**4 + 0 + 250*g**2 - 55*g - 50/3*g**3. Suppose x(s) = 0. What is s?
10
Let h be (-252)/105*5/(-16). Determine p, given that -9/2 + 1/4*p**3 - h*p + p**2 = 0.
-3, 2
Solve 0*g**2 - 2/9*g**3 - 4/3 + 14/9*g = 0.
-3, 1, 2
Let l(o) be the second derivative of o**4/3 + 22*o**3/3 + 36*o**2 + 6*o - 37. Determine r so that l(r) = 0.
-9, -2
Let k = -120 - -124. Factor 6*p**2 + 9*p - 2*p**4 - k*p - 5*p - 4*p.
-2*p*(p - 1)**2*(p + 2)
Let p(d) be the first derivative of 9/20*d**4 - 3/25*d**5 + 0*d + 0*d**2 - 2/5*d**3 + 4. Factor p(k).
-3*k**2*(k - 2)*(k - 1)/5
Let j be ((-6)/5)/((-790)/25 + 31). Suppose -8/15*w**3 + 4/3*w**j - 4/15 - 16/15*w**4 + 2/3*w**5 - 2/15*w = 0. What is w?
-1, -2/5, 1
Let t(l) be the third derivative of 12*l**2 + 1/66*l**4 + 0*l - 1/110*l**5 + 0*l**6 + 0 + 1/1155*l**7 + 0*l**3. Factor t(z).
2*z*(z - 1)**2*(z + 2)/11
Let x(z) = -7*z**2 - 45*z - 44. Let q(r) = r**2 - r. Let i(g) = 3*q(g) + x(g). Factor i(f).
-4*(f + 1)*(f + 11)
Let v(r) be the first derivative of -1/2*r**4 - 8 - 2/3*r**3 + r**2 + 2*r. What is z in v(z) = 0?
-1, 1
Let s(g) be the third derivative of -1/24*g**4 + 2/9*g**3 + 0*g + 0 - 1/180*g**5 + 8*g**2. Factor s(j).
-(j - 1)*(j + 4)/3
Let z(r) be the first derivative of r**4/10 + 26*r**3/15 - 75. Find j, given that z(j) = 0.
-13, 0
Let j be (-159)/315 + (-4)/(-12). Let f = j + 199/140. Find u, given that -3/2*u**3 + 1/4*u + f*u**5 - 1/8*u**4 + 0 + 1/8*u**2 = 0.
-1, -2/5, 0, 1/2, 1
Let u(p) = 2*p**5 + p**4 + p**2 - p + 1. Let s(y) = -16*y**5 - 67*y**4 - 134*y**3 - 107*y**2 - 21*y - 3. Let r(w) = -s(w) - 3*u(w). Find m such that r(m) = 0.
-3, -2, -1, -2/5, 0
Suppose w + 3*y + 7 = -1, -w + 5*y = 24. Let t = 17 + w. Solve -4*r + 8*r**2 + 0*r + 2 - 2 - 4*r**t = 0 for r.
0, 1
Let c = 76896/143 - 6974/13. Suppose -c*z**2 - 4/11*z**3 - 4/11 - 14/11*z = 0. Calculate z.
-2, -1, -1/2
Factor -23/3*p - 1/3*p**2 + 36.
-(p - 4)*(p + 27)/3
Let r(l) be the first derivative of -l**6/14 + 3*l**5 - 1425*l**4/28 + 3105*l**3/7 - 14580*l**2/7 + 34992*l/7 - 277. Factor r(i).
-3*(i - 9)**3*(i - 4)**2/7
Let j(z) = -z + z**2 - 5*z**2 + 5*z**2. Let i be j(0). Factor i*o - 10/3*o**3 + 2/3*o**2 + 0 + 14/3*o**4 - 2*o**5.
-2*o**2*(o - 1)**2*(3*o - 1)/3
Let d = 19/56 - -9/56. Let m(g) be the first derivative of 3/8*g**2 + 1/12*g**3 + 3 + d*g. What is x in m(x) = 0?
-2, -1
Suppose 11 + 24 = 7*f. Let z(u) be the second derivative of f*u + 5/33*u**3 + 0 - 2/33*u**4 - 2/11*u**2 + 1/110*u**5. Suppose z(y) = 0. Calculate y.
1, 2
Suppose 3*r = -5*n + 32, 16 = -3*n + 7*n. Let c be r/14 + (-1)/28. Factor c*q**4 - 1/2*q + 0*q**2 - 1/4 + 1/2*q**3.
(q - 1)*(q + 1)**3/4
Let t = -34 + 171/5. Let g be 8/(-18)*1*54/(-12). Determine z, given that 1/5*z**g - t*z + 0 = 0.
0, 1
Let c(u) = -u**3 - u**2 + u - 1. Let a(q) = -q**3 + 129*q**2 - 124*q + 4. Let m(k) = a(k) + 4*c(k). Factor m(v).
-5*v*(v - 24)*(v - 1)
Let m(x) be the second derivative of -5*x**4/12 - 85*x**3/3 - 160*x**2 - 577*x. Let m(g) = 0. Calculate g.
-32, -2
Let n be 2/((-6)/4 + (3 - 1)). Factor -80*c + 66*c**2 - 13*c**3 - 545*c**n + 32 - 7*c**3 + 547*c**4.
2*(c - 4)**2*(c - 1)**2
Let c = 174 - -34. Let n = 1042/5 - c. What is p in 6/5*p**3 - 4/5*p**2 + 0 - n*p = 0?
-1/3, 0, 1
Let z(o) = -2*o**4 - 9*o**3 + 23*o**2 + 3. Let h(d) = 10*d**3 - 18*d**2 - 2. Let m(i) = -3*h(i) - 2*z(i). Find f such that m(f) = 0.
0, 1, 2
Let r(i) be the second derivative of 2 + 5/36*i**4 - 5/9*i**3 - 5/2*i**2 - 2*i. Factor r(o).
5*(o - 3)*(o + 1)/3
Let k(f) be the third derivative of f**8/1008 - 2*f**7/315 + 57*f**2. Solve k(w) = 0.
0, 4
Let v be 2*(15/5 + 9). Let a be (32/v)/(((-16)/(-10))/4). Factor a*r**2 + 8/3 + 8*r.
2*(r + 2)*(5*r + 2)/3
Let a(n) = 21*n - 2*n**2 - 10*n + 20 - 3*n. Let g(z) = -z**2 - z + 1. Let d(x) = -a(x) + 4*g(x). Factor d(q).
-2*(q + 2)*(q + 4)
Suppose 5*p = -6*z + 3*z - 7, 0 = 2*z + 3*p + 3. Factor 9*j**4 - j + 6*j**2 - j - 7*j**4 - z*j**3.
2*j*(j - 1)**3
Suppose 0 = -z + 5 - 1. Solve 6/5 - 21/5*g - 12/5*g**5 + 33/5*g**3 + 3*g**z - 21/5*g**2 = 0.
-1, 1/4, 1, 2
Let m(b) be the second derivative of -b**4/36 + 7*b**3/6 + 11*b**2/3 - 45*b - 4. Factor m(v).
-(v - 22)*(v + 1)/3
Let x be 8 - (1 - -3 - -1). Let l(c) be the third derivative of -8/3*c**x - c**2 + 0*c - 1/5*c**5 - c**4 + 0 - 1/60*c**6. Factor l(f).
-2*(f + 2)**3
Let r be 8/(112/21) - 1/(-2). Factor -15 + 55 - 4*d**2 - 5*d**5 - 6*d**r - 55*d**3 + 5*d + 55*d - 30*d**4.
-5*(d - 1)*(d + 1)*(d + 2)**3
Let u(g) be the first derivative of -1/50*g**5 - 7 + 7*g + 1/5*g**3 + 2/5*g**2 + 0*g**4. Let j(s) be the first derivative of u(s). Find w such that j(w) = 0.
-1, 2
Let i(u) = u**2 - u + 1. Let x(g) = 4*g**2 - 32*g - 21. Let o(d) = -15*i(d) + 3*x(d). Let o(n) = 0. What is n?
-26, -1
Suppose a + s = -2*s + 11, -a + s - 1 = 0. Factor 7 + 4*j + 1 - 4 - a*j**2 + 3*j**2.
(j + 2)**2
Let v(j) be the first derivative of -j**3/18 - 5*j**2/6 - 3*j/2 + 303. Factor v(x).
-(x + 1)*(x + 9)/6
Let h(t) = t**4 - 7*t**3 + 50*t**2 - 55*t + 25. Let a(r) = 2*r**3 - 16*r**2 + 18*r - 8. Let d(z) = -7*a(z) - 2*h(z). Factor d(y).
-2*(y - 1)**3*(y + 3)
Suppose 0 = b + 2, -2*r = -2*b - 10. Determine p, given that -5*p**2 - 4*p**2 + 13*p**2 - 2*p**r - p - p = 0.
0, 1
Suppose -8*a = -5*a + 3459. Let g = -778 - a. Let -t**2 + g - t**3 - 375 = 0. What is t?
-1, 0
Suppose 3750/19*k - 31250/19 - 150/19*k**2 + 2/19*k**3 = 0. Calculate k.
25
Let i(d) = -3*d**4 - 4*d**3 - 61*d**2 - 64*d - 12. Let j(u) = u**4 + 3*u**3 + 62*u**2 + 63*u + 9. Let w(v) = 3*i(v) + 4*j(v). Let w(m) = 0. Calculate m.
-3, -1, 0, 4
Let o be 0/(1/2*4). Let n(v) = v**3 - 6*v**2 + 6*v + 6. Let i be n(2). Factor 2/9*q + 0 + o*q**i - 2/9*q**3.
-2*q*(q - 1)*(q + 1)/9
Let b = -48 - -50. Factor 41*n**2 + 3*n - 79*n**2 + 41*n**b.
3*n*(n + 1)
Let d(r) = -26*r**2 + 328*r - 6746. Let c(q) = 14*q**2 - 164*q + 3374. Let j(u) = 11*c(u) + 6*d(u). Factor j(f).
-2*(f - 41)**2
Let i(f) = -5*f**3 + 260*f**2 - 1555*f - 850. Let r(z) = z**3 + z**2 + z - 1. Let n(b) = i(b) - 5*r(b). Factor n(h).
-5*(h - 13)**2*(2*h + 1)
Let t be 26/10 - 2/(-5). What is o in 0*o**3 - 41*o**4 - 3*o + 4*o**2 + 7*o - 4*o**t + 37*o**4 = 0?
-1, 0, 1
Suppose 3*n + 4 = -4*k, -2*n + k + 1 = -0. Suppose -5*v = -3*t - 2*v + 9, n = 3*t - v - 9. Factor -3*a**2 - 35 + 6*a**t - 3*a**4 + 35.
-3*a**2*(a - 1)**2
Let u(p) = -5*p**4 + 47*p**3 + 60*p**2. Let x(o) = 2*o**3. Let b(t) = -u(t) - 4*x(t). Factor b(i).
5*i**2*(i - 12)*(i + 1)
Let k(j) be the second derivative of j**6/240 - j**4/96 + 132*j. Factor k(t).
t**2*(t - 1)*(t + 1)/8
Let x(o) be the third derivative of -o**7/42 + o**6/2 - 23*o**5/6 + 25*o**4/2 - 125*o**3/6 + 140*o**2. Let x(v) = 0. What is v?
1, 5
Let c(p) be the first derivative of -2*p**5/45 + 5*p**4/6 + 2*p**3/9 - 47*p**2/9 + 20*p/3 - 38. Find y such that c(y) = 0.
-2, 1, 15
Let q = 771 - 3083/4. Factor -q*c**2 + c - 1.
-(c - 2)**2/4
Let h = -4 + -2. Let i be -7*42/(-17