**7 - 3*t**4 - 33/20*t**5 + 0 + 2*t**3 + 0*t**2. Find a, given that u(a) = 0.
-2, -1, 0, 2/7, 1
Let k(p) be the third derivative of 0*p**4 + 0*p + 0*p**5 + 2*p**2 + 0 + 0*p**3 + 1/180*p**6 - 1/315*p**7. Factor k(v).
-2*v**3*(v - 1)/3
Let v(s) = -12*s**3 - 6*s**2 + 15*s + 3. Let r(z) = 24*z**3 + 11*z**2 - 29*z - 5. Let m(x) = 6*r(x) + 11*v(x). Find a, given that m(a) = 0.
-1, 1/2
Suppose 3*x = c + 8, -5 = -3*x - 2*c + 6. Factor 16/3*m**2 - 14/3*m + 32/3*m**x + 2/3.
2*(m + 1)*(4*m - 1)**2/3
Let b(p) be the first derivative of -p**6/45 + p**5/60 + 2*p**3 + 5. Let t(z) be the third derivative of b(z). Solve t(i) = 0 for i.
0, 1/4
Let b(c) be the third derivative of c**7/315 + c**6/45 + c**5/18 + c**4/18 - 9*c**2. Factor b(p).
2*p*(p + 1)**2*(p + 2)/3
Let r(i) be the third derivative of -i**7/105 + i**6/60 + i**5/12 - i**4/12 - i**3/2 - 4*i**2. Let d(o) = o**2 - 1. Let a(u) = -6*d(u) + 2*r(u). Factor a(n).
-4*n*(n - 1)**2*(n + 1)
Suppose 3 - 3/2*u - 3/2*u**2 = 0. What is u?
-2, 1
Let k(a) be the second derivative of -a**6/20 - 3*a**5/10 - 3*a**4/8 + 5*a. Factor k(z).
-3*z**2*(z + 1)*(z + 3)/2
Let a = -2 - -5. Factor 2*m**a - 5*m**4 + 4*m**3 + 7*m**4 + 2*m + 6*m**2.
2*m*(m + 1)**3
Let r be (85/(-90) + 1)*4. Factor 4/9 + 2/9*t - r*t**2.
-2*(t - 2)*(t + 1)/9
Let d = 463/99 + -49/11. Solve -2/3*j**3 + 0 + d*j**5 + 0*j + 0*j**4 + 4/9*j**2 = 0 for j.
-2, 0, 1
Let r(f) = 3*f**4 - 12*f**3 + 3*f**2 - 6*f + 6. Let l(x) = -x**3 - x + 1. Suppose 28 = 5*s - 2. Let q(o) = s*l(o) - r(o). Find z such that q(z) = 0.
0, 1
Let k be (3/9)/(6/4). Solve -2/9*v**3 + 0 - 4/9*v**2 - k*v = 0.
-1, 0
Let q(t) be the second derivative of -t**6/80 + 3*t**5/40 - t**4/8 + 3*t**2/2 - 3*t. Let s(u) be the first derivative of q(u). Factor s(z).
-3*z*(z - 2)*(z - 1)/2
Let g(p) be the third derivative of 3*p**7/14 - 13*p**6/20 + 13*p**5/20 - p**4/4 - 2*p**2. What is b in g(b) = 0?
0, 1/3, 2/5, 1
Let i(j) = j - 7. Let p be i(9). Suppose -p*z = -0 - 4. Factor -9/4*t + 1/2 + 7/4*t**z.
(t - 1)*(7*t - 2)/4
Let l(j) be the third derivative of -j**6/40 + 33*j**5/20 - 363*j**4/8 + 1331*j**3/2 + 30*j**2. What is y in l(y) = 0?
11
Let k(w) be the second derivative of -2*w**7/21 - 2*w**6/3 - 2*w**5 - 10*w**4/3 - 10*w**3/3 - 2*w**2 - 8*w. Suppose k(i) = 0. What is i?
-1
Let y(j) be the third derivative of -j**6/180 + j**5/30 - j**4/12 + j**3/9 - 21*j**2. Factor y(q).
-2*(q - 1)**3/3
Let p(r) = -2*r**2 - 18*r + 20. Let l(q) = -q**2 + 1. Let u(h) = l(h) + p(h). Factor u(d).
-3*(d - 1)*(d + 7)
Let f(v) be the third derivative of -v**8/2240 - v**7/420 - v**6/240 + v**4/12 + 4*v**2. Let i(a) be the second derivative of f(a). Factor i(h).
-3*h*(h + 1)**2
Let b = 3994/3 + -1331. Determine c, given that -b*c**3 + 2/3 + 0*c**2 + c = 0.
-1, 2
Factor 5/3*p**2 + 170/3*p + 1445/3.
5*(p + 17)**2/3
Find s such that -4*s - 10/11*s**2 - 16/11 = 0.
-4, -2/5
Let l(i) = 3*i**5 + 2*i**4 - 3*i**3 - 7*i**2 - 5*i - 5. Let c(s) = -2*s**5 - 2*s**4 + 2*s**3 + 6*s**2 + 4*s + 4. Let f(a) = -5*c(a) - 4*l(a). Factor f(o).
-2*o**2*(o - 1)**2*(o + 1)
Let q(k) be the first derivative of 2 + 0*k**2 + 0*k + 0*k**3 - 1/12*k**4. Suppose q(h) = 0. Calculate h.
0
Let u be 1*-2*6/45. Let w = 14/15 + u. Let w*t**2 + 4/3*t**4 + 0 + 0*t - 2*t**3 = 0. What is t?
0, 1/2, 1
Let y(b) = 6*b**3 + 4*b**2 - 8. Let s(l) = -2*l**3 + 5 - 3 + 1 - l**2. Let o(r) = 8*s(r) + 3*y(r). Solve o(u) = 0 for u.
-2, 0
Factor -6 - 6*i + 12*i**2 + 15*i + 3.
3*(i + 1)*(4*i - 1)
Let i(n) be the third derivative of 2*n**7/105 + n**6/30 - n**5/15 - n**4/6 + 11*n**2. Determine p, given that i(p) = 0.
-1, 0, 1
Let h(d) = d + 1. Let b(q) = 24*q**2 + 34*q + 10. Let v(y) = -b(y) + 6*h(y). Factor v(k).
-4*(k + 1)*(6*k + 1)
Let a(b) be the third derivative of -5*b**8/448 - 9*b**7/140 - 11*b**6/80 - b**5/10 + 3*b**4/32 + b**3/4 - 9*b**2. Factor a(r).
-3*(r + 1)**4*(5*r - 2)/4
Let k = 23 + -33. Let b be ((-68)/k)/(12/30). Let a(l) = 3*l**2 - 6*l - 9. Let r(c) = -8*c**2 + 18*c + 26. Let u(y) = b*a(y) + 6*r(y). Factor u(o).
3*(o + 1)**2
Let a(d) = -76*d - 4. Let f be a(4). Let u be 4/22 + (-32)/f. Factor u - 2/7*t**3 + 2/7*t - 2/7*t**2.
-2*(t - 1)*(t + 1)**2/7
Let z be 2/(-4)*2 - -7. Let i be (-6)/4*(-16)/z. Let -6*t + i*t - t**2 + 3*t = 0. Calculate t.
0, 1
Let c(l) = -l + 11. Let t be c(6). Let o(i) be the first derivative of 1/9*i**3 + 0*i**2 - 1/15*i**t + 0*i - 1 + 0*i**4. Let o(x) = 0. What is x?
-1, 0, 1
Solve 6*b - 35*b**2 + 16*b + 2 + 91*b**2 = 0 for b.
-1/4, -1/7
Let u(j) = 3*j - 25. Let w be u(9). Factor -1/3*b**w - 4/3 + 4/3*b.
-(b - 2)**2/3
Suppose 5*r = 5*c + 53 + 7, 0 = 4*r + 3*c - 48. Suppose 0 = 3*j + j - r. Factor -4*b**2 - 2*b + 5*b**3 - 3*b**j - 6*b**4 - 5*b**2 + 15*b**4.
b*(b - 1)*(b + 1)*(9*b + 2)
Let m(d) be the second derivative of -d**5/130 + d**3/39 - 8*d. Find q such that m(q) = 0.
-1, 0, 1
Let a(m) be the first derivative of -m**9/7056 + 3*m**8/3920 - m**7/980 - m**3 + 5. Let u(t) be the third derivative of a(t). Let u(b) = 0. Calculate b.
0, 1, 2
Suppose -155 = -35*o - 15. Factor -4/5*t + 8/5*t**3 - 4/5*t**o + 8/5*t**2 - 4/5 - 4/5*t**5.
-4*(t - 1)**2*(t + 1)**3/5
Factor -4/5 - 8/5*j - 4/5*j**2.
-4*(j + 1)**2/5
Let w(b) be the first derivative of b**4/8 - 5*b**3/6 + 7*b**2/4 - 3*b/2 + 2. Find z such that w(z) = 0.
1, 3
Let p(k) be the second derivative of 0 + 1/6*k**3 - 1/4*k**2 - 2*k - 1/24*k**4. Factor p(m).
-(m - 1)**2/2
Let y be ((-488)/282)/(4/(-14)). Let q = -34/47 + y. Factor -q*p**2 + 8/3*p - 1/3.
-(4*p - 1)**2/3
Suppose 0 = 4*v + 2*s - 8, -2*v = 2*v - 2*s - 16. Let r = -29 - -379/13. Factor -8/13*k**4 + r*k**5 + 12/13*k**v + 2/13*k - 8/13*k**2 + 0.
2*k*(k - 1)**4/13
Factor -37*r**3 + 4*r**2 - 1 + 4*r - 5 + 2 + 33*r**3.
-4*(r - 1)**2*(r + 1)
Let y = 28 - 26. Let s(t) be the first derivative of 2/27*t**3 + y - 2/9*t + 0*t**2. Factor s(a).
2*(a - 1)*(a + 1)/9
Let q(n) be the first derivative of -4*n**4 + 4*n**3/3 + 8*n**2 - 4*n + 10. Factor q(j).
-4*(j - 1)*(j + 1)*(4*j - 1)
Let p(l) be the first derivative of -3*l**4 - 3/5*l**5 - 5*l**3 - 3*l**2 - 1 + 0*l. Factor p(s).
-3*s*(s + 1)**2*(s + 2)
Let b(x) be the first derivative of x**5/20 - x**4/16 - x**3/3 + x**2/2 - 3. Factor b(w).
w*(w - 2)*(w - 1)*(w + 2)/4
Suppose -3*x + 111 = 4*d, 0 = 2*x + 3*x + d - 202. Suppose 0 = 3*q + 12, -x = 2*o - 7*o + 4*q. Let 18*b**2 - b - 4*b**2 + o*b = 0. Calculate b.
-2/7, 0
Let t(n) be the first derivative of -3*n**5/20 - n**4/4 - n**3/12 - 16. Factor t(g).
-g**2*(g + 1)*(3*g + 1)/4
Let g(j) be the third derivative of j**8/1008 - j**7/315 + j**5/90 - j**4/72 + 3*j**2. Let g(f) = 0. What is f?
-1, 0, 1
Suppose -2*f + 3*h = -5*f, -f + 4*h = 0. Let t(d) be the second derivative of -1/6*d**4 + f*d**3 + d + 0 + 0*d**2. Factor t(c).
-2*c**2
Suppose -55 = -2*f - 2*c - 3*c, -94 = -3*f + 4*c. Let d be (-4)/10 + 102/f. Let -48/5 + 21/5*k**4 + 96/5*k + 24*k**d + 216/5*k**2 = 0. What is k?
-2, 2/7
Let z(c) be the third derivative of c**6/240 - c**5/30 - c**4/48 + c**3/3 + 11*c**2 + c. Factor z(a).
(a - 4)*(a - 1)*(a + 1)/2
Let f be (4/(-6))/((-10)/(-30)) - -4. Factor 0 + 1/2*b - 7/4*b**f + 5/4*b**3.
b*(b - 1)*(5*b - 2)/4
Suppose 3*p + 4*u = 2*p, 12 = -4*u. Let f = p + -10. Find a, given that -1/3*a**f - 4/3*a - 4/3 = 0.
-2
Let s = -448 + 663. Suppose -s = -4*c + 185. Suppose 7 - 11*z**3 - 24*z - c*z**2 - 31*z**3 + 9 = 0. What is z?
-2, -2/3, 2/7
Let b be (-1)/(-2)*(-1 - -7). Let n = 57 + -45. Determine g so that 4*g + 2*g**5 - 2*g - 2*g**4 + 10*g**4 + 8*g**2 + n*g**b = 0.
-1, 0
Suppose 9 = l + 4. Suppose -j - 2*h = -8, 0*h - h - 7 = -l*j. What is q in -q**3 - 6*q**2 + q**j + 3*q**2 = 0?
-2, 0
Determine a so that -5/2*a**2 - 3/2*a**3 - a + 1/2*a**5 + 1/2*a**4 + 0 = 0.
-1, 0, 2
Suppose 5*b - 3 = 7. Solve 4*j**4 + 4*j**2 + 3*j**5 - 5*j**4 - 2*j + j - 3*j**4 - b*j**3 = 0 for j.
-1, 0, 1/3, 1
Let g(q) = -2*q**3 - 21*q**2 - 12*q - 17. Let x be g(-10). Factor -6/5*v**2 - 2/5*v**x + 2/5*v**4 - 4/5 + 2*v.
2*(v - 1)**3*(v + 2)/5
Let i be 4/(-3)*12/8. Let w be 0/((-3)/(-3)*i). Solve 10/7*j**4 + w + 0*j + 0*j**2 - 4/7*j**3 + 2*j**5 = 0 for j.
-1, 0, 2/7
Let t(x) be the second derivative of x**8/64 + x**7/56 - x**6/80 + x**2 - x. Let f(q) be the first derivative of t(q). Solve f(k) = 0.
-1, 0, 2/7
Let u(a) = a**5 + a**3 - a + 1. Let y(z) = -z**5 - 7*z**3 + 4*z - 4. Let k(i) = -4*u(