 0*t + 1/30*t**5 + 5*t**2 + 0 + 1/4*t**4 + 0*t**3. Suppose z(a) = 0. What is a?
-3, 0
Let q(x) = 7*x**4 + 42*x**3 + 28*x**2 - 198*x + 127. Let y(l) = 22*l**4 + 127*l**3 + 83*l**2 - 593*l + 382. Let g(v) = 7*q(v) - 2*y(v). Solve g(t) = 0 for t.
-5, 1
Let k(g) be the second derivative of g**4/6 + 2*g**3/3 + g**2 + 5*g. Factor k(s).
2*(s + 1)**2
Let u be (-2)/(-15)*250/258. Let q = u - -4/43. Suppose -q*o - 2/9*o**2 + 2/9 + 2/9*o**3 = 0. What is o?
-1, 1
Let r(o) be the first derivative of -o**4/6 + 2*o**3/3 + 3*o**2 + 10*o/3 + 61. Factor r(f).
-2*(f - 5)*(f + 1)**2/3
Let p(q) be the first derivative of 3 - 3*q + 15/4*q**2 + 7/2*q**3. Factor p(i).
3*(i + 1)*(7*i - 2)/2
Let u(p) be the first derivative of 7/6*p**6 - 17/5*p**5 - 4/7*p + 1 + 23/21*p**3 - 8/7*p**2 + 67/28*p**4. Suppose u(t) = 0. What is t?
-2/7, 1
Suppose -s - 16 = -5*s, -3*c + 25 = 4*s. Let x(v) be the first derivative of 3/2*v**2 + 2*v - 3 + 1/3*v**c. Factor x(d).
(d + 1)*(d + 2)
Let d(w) be the first derivative of w**6/10 - 6*w**5/25 + 3*w**4/20 - 6. Find z, given that d(z) = 0.
0, 1
Let z be 4/6 - (-13)/(-24). Let h(a) be the second derivative of 0 - 2*a - 3/4*a**3 - 3/2*a**2 - z*a**4. Let h(r) = 0. What is r?
-2, -1
Let c be 2 + -4 + -7*1. Let u = -4 - c. Suppose 2*w**2 + 2 - u*w**2 + 4*w + 5*w**2 = 0. Calculate w.
-1
Factor 2*o**3 - 8/3*o**2 + 0 + 8/9*o.
2*o*(3*o - 2)**2/9
Let v(m) be the third derivative of m**5/20 - 11*m**4/8 - 6*m**3 - 41*m**2. Suppose v(i) = 0. Calculate i.
-1, 12
Let b be (-4)/(-10) - (-32)/20. Suppose 0*q + 2*q - 2*g - 10 = 0, 0 = 4*q + 3*g - 13. Factor 0*y**4 - 2*y**3 - q*y**b + 6*y**3 + 2*y**2 + 6*y**4.
2*y**2*(y + 1)*(3*y - 1)
Let o(a) be the third derivative of -a**10/15120 + a**8/1120 + a**7/630 - a**4/8 - a**2. Let n(u) be the second derivative of o(u). Factor n(b).
-2*b**2*(b - 2)*(b + 1)**2
Let j(c) be the second derivative of c**8/840 - c**7/210 + c**6/180 + c**3/3 - c. Let q(a) be the second derivative of j(a). Determine m so that q(m) = 0.
0, 1
Let m = 9 + -4. Suppose 0 + 5 = m*s. Find q, given that -2*q**2 - s + 6*q + 0*q + 0*q**2 - 3 = 0.
1, 2
Determine a, given that 9/5*a**2 - 9/5*a**4 - 2/5*a - a**3 + 0 + 7/5*a**5 = 0.
-1, 0, 2/7, 1
Factor 4/5*t + 2/5*t**4 - 2/5 - 4/5*t**3 + 0*t**2.
2*(t - 1)**3*(t + 1)/5
Let a(k) = k**3 + 6*k**2 + 2*k - 5 + 2*k - 5*k + 2. Let x be a(-6). Factor -3*q**4 - 2*q**4 + 5*q**2 + 6*q**4 + 4*q**x - 2*q + 4*q.
q*(q + 1)**2*(q + 2)
Let c(i) = -i - 11. Let l be c(-11). Solve l*t + 2/3*t**2 + 0 = 0.
0
Factor 6*c + 2*c - 8*c - c**2.
-c**2
Let v(m) be the second derivative of -7*m**4/78 - 16*m**3/39 - 4*m**2/13 + 14*m. Solve v(o) = 0 for o.
-2, -2/7
Let p(x) be the third derivative of 0*x**3 + 1/2184*x**8 - 2/455*x**7 + 0 + 1/60*x**6 + 1/39*x**4 + 0*x - 2/65*x**5 + 9*x**2. Suppose p(n) = 0. Calculate n.
0, 1, 2
Let p(q) = 3*q**2 + 3*q. Let f(l) = 16*l**2 + 16*l. Let g(r) = 2*f(r) - 11*p(r). Let g(a) = 0. What is a?
-1, 0
Let -1/5*r**2 + 2/5 + 1/5*r = 0. What is r?
-1, 2
Let d(c) be the first derivative of -3/5*c**3 + 3/5*c**2 + 3/20*c**4 + 1 + 0*c. Find x, given that d(x) = 0.
0, 1, 2
Let u(l) be the first derivative of -2*l**5/45 + l**4/9 + 2*l**3/27 - 2*l**2/9 - 2. What is g in u(g) = 0?
-1, 0, 1, 2
Let f(g) be the second derivative of g**7/168 + g**6/15 + 5*g**5/16 + 19*g**4/24 + 7*g**3/6 + g**2 - 4*g. What is a in f(a) = 0?
-2, -1
Let k = 394/3 - 131. Let s(x) be the first derivative of 0*x - 3 - 2/15*x**5 - 2/9*x**3 + k*x**4 + 0*x**2. What is r in s(r) = 0?
0, 1
Let s(h) be the third derivative of h**8/4032 + h**7/840 + h**6/400 + h**5/60 + 2*h**2. Let p(b) be the third derivative of s(b). Factor p(i).
(5*i + 3)**2/5
Factor -10/13*m**3 + 0 - 2/13*m**2 + 2/13*m - 6/13*m**4.
-2*m*(m + 1)**2*(3*m - 1)/13
Let k(x) be the second derivative of x**7/70 - 3*x**5/100 - 10*x. Factor k(l).
3*l**3*(l - 1)*(l + 1)/5
Factor -1 - 5*i - 23/4*i**2 - 7/4*i**3.
-(i + 1)*(i + 2)*(7*i + 2)/4
Let h(z) be the first derivative of z**8/2520 - z**7/2520 - z**6/540 + z**5/360 + z**3/3 + 1. Let b(x) be the third derivative of h(x). Factor b(q).
q*(q - 1)*(q + 1)*(2*q - 1)/3
Suppose z - 5 = -k, 10*k - 4*z + 16 = 13*k. Factor 0*h**2 + 0*h**3 + 0 - 4/5*h**5 + 0*h + 0*h**k.
-4*h**5/5
Let r(c) be the third derivative of -c**5/15 + 2*c**4/3 - 2*c**3 + 8*c**2. Determine l, given that r(l) = 0.
1, 3
Let v(t) be the first derivative of t**5/10 - t**3/3 + t/2 - 9. Factor v(a).
(a - 1)**2*(a + 1)**2/2
Let j = 191 - 953/5. Suppose j*m - 2/5*m**2 + 0 = 0. What is m?
0, 1
Suppose 5*b - 4 = -5*u + 1, -2*u + 5*b - 5 = 0. Suppose u*l = -l. Suppose 1/4*z**2 + l*z + 0 = 0. Calculate z.
0
Factor -6/7*w**3 + 0*w**2 + 0*w - 4/7*w**4 + 2/7*w**5 + 0.
2*w**3*(w - 3)*(w + 1)/7
Let t(l) be the third derivative of l**8/336 + l**2. Let f(s) = 3*s**5 + s**4 - 2*s**3 - s**2. Let i(o) = -f(o) + t(o). Find a such that i(a) = 0.
-1, -1/2, 0, 1
Let i(b) be the first derivative of 33*b**4/4 + 2*b**3 + 41. Suppose i(p) = 0. What is p?
-2/11, 0
Factor -10*r**2 + 2*r**2 + 10*r**2.
2*r**2
Let r(l) be the third derivative of -3*l**2 + 0 + 0*l + 1/240*l**6 + 0*l**3 + 1/12*l**4 - 1/30*l**5. Factor r(n).
n*(n - 2)**2/2
Suppose -u = -6*u - 3*q + 19, -5 = -4*u + q. Suppose 6*y**u - y**3 - 3*y**2 - 27 + 23 = 0. What is y?
-1, 2
Suppose 0 = 3*h + 4*z - 50, -h - 3*z + 5*z + 20 = 0. Let j = -53/3 + h. Factor 2/3*m - 1/3 - j*m**2.
-(m - 1)**2/3
Let o(p) be the first derivative of 4*p**5/15 - 4*p**3/9 - 2. Factor o(g).
4*g**2*(g - 1)*(g + 1)/3
Let h = -14 - -16. Suppose h*j = 3*j. Solve j*l**2 + 0*l + 0 + 0*l**3 + 2/11*l**4 = 0 for l.
0
Suppose -2*l = -3*l + 2. Factor 2*g**l - g**2 + 4*g**3 - 3*g**3.
g**2*(g + 1)
Let d(m) be the third derivative of -1/240*m**6 + 3*m**2 + 0*m + 0*m**5 + 0 + 0*m**3 + 1/48*m**4. Factor d(y).
-y*(y - 1)*(y + 1)/2
Let v(k) be the second derivative of -1/6*k**4 + 0*k**2 + 3*k + 0*k**3 + 1/4*k**5 - 1/15*k**6 + 0. Factor v(d).
-d**2*(d - 2)*(2*d - 1)
Let y(i) = i - 7. Let z be y(7). Suppose -2*u**3 + z*u + u - 2*u**2 + 3*u = 0. Calculate u.
-2, 0, 1
Let n be ((-2)/8)/(((-36)/8)/9). Let j(q) be the first derivative of -n*q**2 - 1/12*q**3 - q + 3. Factor j(y).
-(y + 2)**2/4
Suppose 25 = 4*q + 5*j, -q + 3*j - 4 = 11. Factor -s**2 - 2*s + q*s + 4*s.
-s*(s - 2)
Let u(w) = w**3 - 10*w**2 + 11*w - 12. Let y be u(9). Factor 8 - 2*r**2 - y*r - r**2 + 1.
-3*(r - 1)*(r + 3)
Let g(b) = -2*b**3 - 11*b**2 - 8*b. Let w(t) = -t + 0*t - 12*t**2 - 2*t**3 - 7*t + 0*t**2. Let v(f) = -4*g(f) + 3*w(f). Suppose v(l) = 0. Calculate l.
-2, 0
Let o(r) be the first derivative of -2/5*r**3 - 4 + 0*r**4 + 2/5*r**2 + 0*r + 2/25*r**5. Factor o(a).
2*a*(a - 1)**2*(a + 2)/5
Solve -80/3*g + 4/3*g**2 + 400/3 = 0.
10
Solve 36/7 - 192/7*w + 256/7*w**2 = 0 for w.
3/8
Let t(i) be the first derivative of -i**6/6 - 2*i**5/5 - i**4/4 + 2. Factor t(y).
-y**3*(y + 1)**2
Let y(k) be the third derivative of k**5/105 - 8*k**3/21 + 19*k**2. Determine o so that y(o) = 0.
-2, 2
Let j(z) = 2*z**3 + 5*z**2 - 7*z - 7. Let o be 0 + (-4)/(-4) - -6. Let m(t) = t**3 + 2*t**2 - 4*t - 4 + 0*t**3 + t**2. Let y(x) = o*m(x) - 4*j(x). Factor y(n).
-n**2*(n - 1)
Let y(w) = -w**3 - 2*w**2 + w - 2. Let j be y(-3). Suppose 5*p - 6 = j. Factor 0*i - p*i**3 + 0 - 4/7*i**2.
-2*i**2*(7*i + 2)/7
Let a(s) be the third derivative of s**7/700 - s**6/150 + 7*s**5/600 - s**4/120 - 22*s**2. Let a(r) = 0. What is r?
0, 2/3, 1
Let c(n) = -n**2. Let k(q) = -3*q**3 - 7*q**2. Let u(r) = -18*c(r) + 2*k(r). Factor u(d).
-2*d**2*(3*d - 2)
Let h = 130 - 648/5. Suppose 9*u - 13*u = -3*w + 9, 4*u = -3*w + 9. Factor 0 + 2/5*b**3 + 2/5*b**4 - h*b**5 - 2/5*b**2 + u*b.
-2*b**2*(b - 1)**2*(b + 1)/5
Let r(w) be the first derivative of -w**5/10 + w**3/2 + w**2/2 - 14. Factor r(j).
-j*(j - 2)*(j + 1)**2/2
Solve 0*u + 1/2 - 1/2*u**2 = 0.
-1, 1
Let w = -4 + 3. Let b be ((-2)/3 - w)*1. Solve 1/3*h**2 + 0 + b*h = 0 for h.
-1, 0
Let j(m) be the second derivative of -m**6/80 + 3*m**5/40 - m**4/8 + 3*m**2/2 - 3*m. Let n(s) be the first derivative of j(s). Factor n(g).
-3*g*(g - 2)*(g - 1)/2
Let v(h) be the third derivative of h**7/280 - h**6/160 - h**5/40 - 32*h**2. Factor v(d).
3*d**2*(d - 2)*(d + 1)/4
Determine y, given that -5*y**4 + 21*y**2 - 37*y**2 + 10*y**2 + 21*y**2 - 10*y = 0.
-2, 0, 1
Let s(g) be the second derivative of g**4/54 + 2*g**3/27 + 30*g. Let s(d