p**6 + 0 + 0*p + 6*p**2 + 0*p**3. Suppose b(t) = 0. Calculate t.
-2, -1, 0
Let j(g) be the third derivative of -g**7/280 - g**6/32 + 3*g**5/80 + 17*g**4/32 + 5*g**3/4 - 148*g**2. What is d in j(d) = 0?
-5, -1, 2
Solve 2/3*i**2 - 196/3*i + 4802/3 = 0 for i.
49
Let f = 2502 + -5070. Let q be 3/((-39)/(-2)) - f/1391. Suppose 8/7 - 12/7*o + 0*o**q + 4/7*o**3 = 0. What is o?
-2, 1
Let o be (-5 - -8) + 2/(-2). Let p be ((-2)/3)/(o/(-6)). Suppose -4*q + 2*q**3 + 0 - 4*q**p + 2*q + 1 + 3 = 0. What is q?
-1, 1, 2
Let c be (-2)/1 - (-78)/(-13). Let n be -1 - ((-160)/(-15))/c. Solve -n + 0*d + 1/3*d**2 = 0.
-1, 1
Let r be (-253 + 251)*(2 + ((-14)/3)/2). Factor 0*i + i**3 + 0 + 1/3*i**4 + r*i**2.
i**2*(i + 1)*(i + 2)/3
Let a(p) be the third derivative of 3/8*p**6 + 10*p**2 + 5/112*p**8 + 0*p**4 + 0*p**3 + 0 - 1/6*p**5 + 0*p - 5/21*p**7. Determine f so that a(f) = 0.
0, 1/3, 1, 2
Factor -14/9*l + 4/9*l**4 - 8/3*l**2 - 2/3*l**3 + 0.
2*l*(l + 1)**2*(2*l - 7)/9
Let w(x) be the first derivative of -2*x**3/3 + 10*x**2 - 48*x + 22. Let w(a) = 0. What is a?
4, 6
Let i be 784/1680 - (-11)/5. Factor -i*y - 1/3*y**2 - 16/3.
-(y + 4)**2/3
Let q(n) = -n**2 + 7*n + 13. Let s be q(8). Solve 7*c**2 + s*c**2 + 6*c**2 + 2*c**4 - 24*c**2 + 4*c = 0.
-2, 0, 1
Factor 1/4*a**2 + 0 + 1/2*a - 1/4*a**3.
-a*(a - 2)*(a + 1)/4
Let v(f) = 11*f**2 - 4*f + 4. Let r be v(2). Factor 133 - 37*c**2 - 5*c**4 + 2 - 53*c**2 + r*c**3.
-5*(c - 3)**3*(c + 1)
Let n be 66/55*8/24. Factor 0 + 6/5*a + n*a**2.
2*a*(a + 3)/5
Find q such that 10*q**2 - 5*q**2 - 4*q**2 - 3*q**2 - 28*q + 3 - 99 = 0.
-8, -6
Let b(d) be the first derivative of -3*d**4/16 - d**3/2 + 9*d**2/8 + 68. Factor b(w).
-3*w*(w - 1)*(w + 3)/4
Let s be (3 + -2)/((-64)/(-480)). Determine k, given that -s*k - 21/2*k**2 + 3 = 0.
-1, 2/7
Let h(x) = -9*x**2 - 6*x + 6. Let c(z) = 8*z**2 + 7*z - 5. Let t be 5/(-1*(6 - 5)). Let b(m) = t*h(m) - 6*c(m). Factor b(k).
-3*k*(k + 4)
Suppose -4*r = -35 + 15, 5*h - 7*r + 20 = 0. Suppose 3/2 + 39/4*s + 45/4*s**h + 39/2*s**2 = 0. Calculate s.
-1, -2/5, -1/3
Suppose -5*s - 5*k = 1580, 5*s - 4*s + 331 = 4*k. Let t = s + 970/3. Suppose 32/3*b**4 - 8/3*b + 22/3*b**3 - t*b**2 - 1/3 - 32/3*b**5 = 0. Calculate b.
-1/2, -1/4, 1
Let z(n) be the third derivative of -6*n**2 - 2/9*n**3 + 0*n + 1/90*n**5 + 1/36*n**4 + 0. Let z(v) = 0. Calculate v.
-2, 1
Suppose 7*i - 11*i + 8 = 0. Factor 35*o**i - 40*o + 7*o**3 - 27*o**3 + 15*o**3 - 69 - 11.
-5*(o - 4)**2*(o + 1)
Let z(h) be the first derivative of h**4/48 - h**3/8 + 2*h + 10. Let n(u) be the first derivative of z(u). Suppose n(r) = 0. Calculate r.
0, 3
Let s(i) be the second derivative of -7*i**4/66 - 422*i**3/33 - 120*i**2/11 + 392*i. Factor s(c).
-2*(c + 60)*(7*c + 2)/11
Let c be (8 - 61) + -2*1. Let k be 33/c*40/(-36). Solve k*j**3 + 10/3*j**2 - 2*j**4 - 4/3 - 2/3*j = 0.
-1, -2/3, 1
Suppose 2*r + 75 = 2*v - 3*r, 5*v + r - 147 = 0. Let n(j) = j**2 + 1. Let i(y) = 35*y**2 + 25. Let b(k) = v*n(k) - i(k). Factor b(z).
-5*(z - 1)*(z + 1)
Find v such that -12 - 138/5*v**2 + 702/5*v = 0.
2/23, 5
Let b(y) be the second derivative of -y**7/3360 + 7*y**4/12 + 6*y. Let n(x) be the third derivative of b(x). Determine f, given that n(f) = 0.
0
Let d(k) be the first derivative of k**6/288 - k**5/48 + 5*k**4/96 - 23*k**3/3 - 23. Let v(p) be the third derivative of d(p). Factor v(h).
5*(h - 1)**2/4
Let c(k) = -11*k**2 - 17*k. Let r(h) = 20*h**2 + 32*h + 1. Let a(b) = 11*c(b) + 6*r(b). Factor a(z).
-(z - 6)*(z + 1)
Solve 13*d**3 + 9*d**3 - 3*d**5 + 4*d**5 + 12*d**2 + 8*d**4 - 4*d**5 + d**5 = 0 for d.
-1, 0, 6
Let t(b) be the third derivative of b**6/720 + 13*b**5/120 + 35*b**4/16 - 147*b**3/4 + 12*b**2 - 6. Let t(y) = 0. Calculate y.
-21, 3
Let d(c) = -c**2 - 22*c + 33. Let j be d(-23). Suppose -3*t + 14 = v, -j*v + t = -14*v + 12. Factor 2 + 2/3*y**v + 8/3*y.
2*(y + 1)*(y + 3)/3
Let n(d) be the third derivative of -d**7/42 + d**5/4 + 5*d**4/12 - 91*d**2. Let n(o) = 0. Calculate o.
-1, 0, 2
Determine x, given that -404*x - 3*x**4 - 357*x - 1120*x**2 - 519*x + 155*x**3 - 2*x**4 = 0.
-1, 0, 16
Let k be 63/7*4/90. Let r(l) be the first derivative of 11 - 4/5*l**3 + 0*l**4 + 0*l + 16/25*l**5 + k*l**2. Determine a so that r(a) = 0.
-1, 0, 1/2
Factor -v**3 - 46295 - 3*v**3 + 46295 + 20*v**2.
-4*v**2*(v - 5)
Suppose -t - 52 = -5*t - 5*z, 0 = -3*t - 2*z + 46. Suppose m = 5*n - t + 6, 2*m = 4*n - 6. Factor 0*f + 0 + 2/9*f**4 + 4/9*f**2 + 2/3*f**n.
2*f**2*(f + 1)*(f + 2)/9
Let y(p) = 28*p - 4. Let n be y(-3). Let s be (-16)/n + 159/33. Find h, given that -2*h + s*h**2 + 0*h**2 - 9 - h - h**3 = 0.
-1, 3
Factor 16/3*h**4 + 0 + 167/3*h**3 + 208*h**2 + 507/2*h + 1/6*h**5.
h*(h + 3)**2*(h + 13)**2/6
Let g(l) = -3*l**3 + 13*l**2 - 43*l - 7. Let b(u) = -u**3 + 6*u**2 - 21*u - 4. Let w = -80 - -67. Let f(r) = w*b(r) + 6*g(r). Factor f(x).
-5*(x - 2)*(x + 1)**2
Let p be 12*(-22 + (-1998)/(-90)). What is z in 0 + 12/5*z + 3/5*z**3 + p*z**2 = 0?
-2, 0
Suppose -3*q = -3*r - 6, -10*q + 11*q - 3*r = 2. Let z be 3 - 1 - (-20)/(-12). Determine t, given that -z*t + 2/3 - 1/3*t**q = 0.
-2, 1
Let u be (-9)/2 - (-30)/(-20). Let b be 0 - u/4*(-28)/(-21). Factor -2/11 - 2/11*c**b - 4/11*c.
-2*(c + 1)**2/11
Let g(a) be the first derivative of a**4/10 + 2*a**3/5 + 3*a**2/5 + 2*a/5 + 109. Factor g(s).
2*(s + 1)**3/5
Let z = 7891/7 + -1127. Let 18/7*f**3 - 26/7*f**4 + 10/7*f**5 + 0 + z*f**2 - 4/7*f = 0. What is f?
-2/5, 0, 1
Suppose 5*b + 2233 = 12*b. Let k = b + -317. Factor -3/7*f + 6/7 - 3/7*f**k.
-3*(f - 1)*(f + 2)/7
Let z be 6 + (-80)/24 + -1. Let c(t) be the first derivative of -4*t**2 + 7 + 4*t - z*t**3. Factor c(j).
-(j + 2)*(5*j - 2)
Let p(k) be the second derivative of -k**4/30 + 4*k**3/15 - 4*k**2/5 - 32*k + 2. Factor p(i).
-2*(i - 2)**2/5
Solve 0*l**2 - 1/6 + 1/6*l**4 - 1/3*l + 1/3*l**3 = 0.
-1, 1
Let h = -333 - -4997/15. Let g(a) be the second derivative of -2/15*a**4 + 1/20*a**5 - 1/150*a**6 + h*a**3 + 0 + 3*a + 0*a**2. Factor g(j).
-j*(j - 2)**2*(j - 1)/5
Let m be -5*(-4 - (-72)/20). Let t be (-15)/(-6) - 3 - -3 - m. Factor t*o + 1 - 1/2*o**2.
-(o - 2)*(o + 1)/2
Let h(k) be the first derivative of 2*k**5/75 + k**4/15 - 2*k**3/9 - 2*k**2/5 - 45. Factor h(l).
2*l*(l - 2)*(l + 1)*(l + 3)/15
Let a be (-20)/(-12)*-1 + 80/48. Factor a*q**2 + 18/5*q**3 + 6/5*q**5 + 0*q + 0 - 24/5*q**4.
6*q**3*(q - 3)*(q - 1)/5
Factor 19/5*o**2 - o**3 + 13*o - 30 - 1/5*o**4.
-(o - 3)*(o - 2)*(o + 5)**2/5
Let d(l) be the first derivative of 4*l**5/5 - 2*l**4 - 20*l**3/3 + 12*l**2 + 154. Find f such that d(f) = 0.
-2, 0, 1, 3
Find s such that 2*s**2 - 10*s**2 + 5132 - 5132 + 2*s**4 = 0.
-2, 0, 2
Let g = -26669 + 26669. Factor 1/5*x**3 - 3/5*x**2 + g + 2/5*x.
x*(x - 2)*(x - 1)/5
Let l(t) be the second derivative of -5*t**7/6 + 5*t**6/2 - 9*t**5/4 + 5*t**4/12 - 54*t + 3. Determine y so that l(y) = 0.
0, 1/7, 1
Let z(r) be the third derivative of r**6/120 - r**4/12 + r**3/3 - 44*r**2. Let v be z(0). Find a, given that -3/2*a - 1/2*a**v + 0 = 0.
-3, 0
Let z(o) = 6*o**3 - o**2 - 10*o - 6. Let k(i) = 7*i**3 - 9*i - 6. Suppose 8*f = -3*f + 33. Let c(y) = f*k(y) - 4*z(y). Factor c(u).
-(u - 3)*(u + 1)*(3*u + 2)
Factor 129*c + 412 + 10569*c**2 - 10462*c**2 + 287*c + c**3.
(c + 2)**2*(c + 103)
Let q(l) = 28*l**2 - 335*l + 110. Let y(n) = -27*n**2 + 336*n - 108. Let s(o) = 6*q(o) + 7*y(o). Solve s(z) = 0 for z.
2/7, 16
Let k be 6 - ((-3)/5 - 288/(-80)). What is a in -4/3*a**k - 2/3*a**4 - 2/3*a**2 + 0*a + 0 = 0?
-1, 0
Let d(u) = -11*u**2 - 4*u + 15. Let z(h) = -6*h**2 - 2*h + 8. Let x(g) = -4*d(g) + 7*z(g). Let x(m) = 0. What is m?
-2, 1
Let i = 33 - 29. Suppose -5*v**2 + 4*v + 2*v**i - 4*v**3 - 6*v**4 + 9*v**2 = 0. Calculate v.
-1, 0, 1
Let z(y) be the first derivative of -12/11*y**2 + 10 - 2/33*y**3 - 72/11*y. Suppose z(q) = 0. What is q?
-6
Suppose -w - f + 10 - 6 = 0, 4 = f. Let z(l) be the second derivative of 0*l**3 - 3/4*l**4 + w - 3/20*l**5 + 0*l**2 - 3*l. What is t in z(t) = 0?
-3, 0
Let f(s) be the second derivative of 1/50*s**5 - 1/15*s**4 + 0*s**3 + 0*s**2 - 21*s + 0. What is y in f(y) = 0?
0, 2
Determine p so that -5*p - 16*p**2 + 4*p**2 + 7*p**2 - 5*p + 3*p**2 = 0.
-5, 0
What is i in -32/5 - 16*i - 2/5*i**4 - 4*i**3 - 66/5*i**2 = 0?
-4, -1
Let u = -241 - -245. Let y(b) be the second derivative of -3*b + 2/5*b**2 + 0 +