o*q**4 + 0*q**3 + 0 - q**2 + 0*q + 1/30*q**5. Find p such that c(p) = 0.
0, 2
Let q(b) be the third derivative of -b**6/150 + 2*b**5/75 + b**4/6 - 4*b**3/5 - 44*b**2. Find j such that q(j) = 0.
-2, 1, 3
Let w(j) = -80*j**2 + 125*j - 35. Let y(u) = -9*u**2 + 14*u - 4. Let d(k) = 4*w(k) - 35*y(k). Factor d(q).
-5*q*(q - 2)
Let c(h) be the third derivative of h**6/120 + h**5/12 + h**4/6 + h**3/2 + h**2. Let l be c(-4). Factor v**3 - l*v**3 + 2*v**4 - 6*v**2 + 4*v**2 + 2*v**5.
2*v**2*(v - 1)*(v + 1)**2
Let s(o) = -o + 7. Let j = -19 - -24. Let i be s(j). Factor v - 3/2*v**3 + 0 - 1/2*v**i.
-v*(v + 1)*(3*v - 2)/2
Let j be 2*(0 + 2/10 - 0). Suppose 6/5*f - j*f**2 + 0 = 0. Calculate f.
0, 3
Let a = 29 + -25. Factor -1/2*v**5 + 0 + 1/2*v**2 + 0*v + 1/2*v**3 - 1/2*v**a.
-v**2*(v - 1)*(v + 1)**2/2
Let n(x) = 4*x**3 - 2*x**2 + x - 3. Let u(h) = 5*h**3 - 3*h**2 + 2*h - 4. Let k(v) = -4*n(v) + 3*u(v). Determine o so that k(o) = 0.
-2, 0, 1
Solve 4/7 - 2/7*w**2 - 2/7*w = 0 for w.
-2, 1
Let -5/4*p**3 + 5/4*p - 7/4*p**4 + 9/4*p**2 - 1/2 = 0. Calculate p.
-1, 2/7, 1
Let c = 192/5425 + 1/217. Let y(k) be the first derivative of -1/30*k**6 + 0*k**2 + 0*k**3 - c*k**5 + 4 + 1/10*k**4 + 0*k. What is d in y(d) = 0?
-2, 0, 1
Let a(t) be the second derivative of t**6/6 - 5*t**5/4 + 15*t**4/4 - 35*t**3/6 + 5*t**2 - 13*t. Factor a(v).
5*(v - 2)*(v - 1)**3
Let t(i) = -i**3 - 11*i**2 + i + 14. Let n be t(-11). Factor 1 + 0 + n + 2*a**2 + 6*a.
2*(a + 1)*(a + 2)
Let u(d) be the second derivative of 0*d**2 + 0 + 0*d**4 - 2*d + 0*d**3 - 1/40*d**5. Let u(p) = 0. Calculate p.
0
Let c(j) be the first derivative of 6*j**4 - 20*j**3 + 21*j**2 - 9*j - 20. Find s, given that c(s) = 0.
1/2, 3/2
Suppose l + 4*n + 2 = 0, 5 = 4*l + 3*n - 0. Suppose 3*t = -l*t + 15. Suppose -1/2*q**t + q**2 + 0 - 1/2*q = 0. What is q?
0, 1
Let w(l) be the second derivative of -l**7/2520 - l**6/960 + l**5/480 - l**4/12 - l. Let a(t) be the third derivative of w(t). Factor a(u).
-(u + 1)*(4*u - 1)/4
Let c(u) be the second derivative of u**6/10 + 3*u**5/5 + u**4 + 2*u. What is t in c(t) = 0?
-2, 0
Suppose 3*p = 4*h - 2, 0 = -3*p - 2*p + 3*h + 4. Factor -q + p*q**3 + 4*q**4 + 2*q**5 + 4*q - 3*q.
2*q**3*(q + 1)**2
Let f = 101 + -706/7. Let w(t) be the second derivative of 1/70*t**5 + 0 - 1/21*t**3 - t - 1/42*t**4 + f*t**2. Let w(b) = 0. What is b?
-1, 1
Let n(j) be the second derivative of j**6/165 - 3*j**5/55 + 2*j**4/11 - 10*j**3/33 + 3*j**2/11 + 14*j. Let n(z) = 0. Calculate z.
1, 3
Suppose p - 1 = 2. Suppose 4*i + 3*g - p = 0, 3*g + 24 + 0 = 5*i. Solve -5*h**2 + 4*h**2 + 3*h**i - 6*h**3 + 2*h = 0 for h.
-1, 0, 2/3
Let i(t) be the second derivative of t**5/15 + 5*t**4/9 - 16*t**3/9 - 8*t**2 + 48*t. Factor i(r).
4*(r - 2)*(r + 1)*(r + 6)/3
Let q(i) be the second derivative of -i**10/15120 + i**9/3024 - i**8/1680 + i**7/2520 + i**4/12 + 3*i. Let l(x) be the third derivative of q(x). Factor l(u).
-u**2*(u - 1)**2*(2*u - 1)
Let q(z) = 3*z**3 + z**2 + 2*z. Let s be (20/(-15))/((-2)/3). Let l(r) = 7*r**3 + 2*r**s + 2*r + 2*r + r. Let g(o) = -4*l(o) + 10*q(o). Factor g(t).
2*t**2*(t + 1)
Factor -1/7*g**3 + 0 - 1/7*g**2 + 1/7*g**5 + 1/7*g**4 + 0*g.
g**2*(g - 1)*(g + 1)**2/7
Let a = 12 - 6. Suppose -a = 5*x - 21. Solve -g**2 + x*g - g - 8 + 7 = 0.
1
Suppose -2*o - 5*v = -10, 5*v + 0 = 3*o - 15. Let p**3 + 0*p**3 + 2*p - 9 + o*p**2 + p = 0. Calculate p.
-3, 1
Let d(f) be the first derivative of -f**6/75 - f**5/50 - 3*f + 3. Let y(p) be the first derivative of d(p). Determine q so that y(q) = 0.
-1, 0
Factor -1/2*n**3 - 7/4*n**5 + 0 - 9/4*n**4 + 0*n + 0*n**2.
-n**3*(n + 1)*(7*n + 2)/4
Let y = 8 - 3. Suppose o + 12 = y*o. Find q, given that -3*q + 6*q**o + 5*q - 5*q**3 - 3*q**2 = 0.
0, 1, 2
Let r = 11 + -7. Let q = 0 + r. Factor -3*l**2 + l**2 + 3*l**3 - q*l**3.
-l**2*(l + 2)
Let g(u) be the first derivative of -1/15*u**3 - 3/5*u - 2/5*u**2 - 4. Factor g(i).
-(i + 1)*(i + 3)/5
Let y(a) = -2 + 2 - a**2 - 1. Let l(q) = -5*q**2 + q - 8. Let v(o) = -l(o) + 6*y(o). Determine f, given that v(f) = 0.
-2, 1
Let 7*q**2 + q**2 + 6*q + 3 - 5*q**2 = 0. Calculate q.
-1
Let r(l) be the second derivative of l**6/15 - l**4/6 - 6*l. Factor r(s).
2*s**2*(s - 1)*(s + 1)
Let r = 5 - 3. Let z(d) be the third derivative of -1/63*d**7 + 1/18*d**4 + 0*d - 1/90*d**5 - r*d**2 + 0 + 0*d**3 - 2/45*d**6. Determine o so that z(o) = 0.
-1, 0, 2/5
Let u(h) = 5 + 4*h**2 - 4*h**4 - 4*h + 2*h + 5*h + 2*h. Let r(d) = -3*d**4 + 3*d**2 + 4*d + 4. Let b(y) = -5*r(y) + 4*u(y). Solve b(v) = 0.
-1, 0, 1
Let c(i) be the third derivative of -i**5/180 + i**4/24 - i**3/9 - 11*i**2. Solve c(p) = 0.
1, 2
Let j(t) be the first derivative of 3 - 1/5*t**5 - 1/2*t**4 + 1/6*t**6 - t + 1/2*t**2 + 2/3*t**3. Solve j(l) = 0 for l.
-1, 1
Let w = 209 - 207. Determine x so that 0*x + 3/4 - 3/4*x**w = 0.
-1, 1
Let f(j) be the third derivative of j**8/16800 + j**7/3150 + j**6/1800 - j**4/6 + 5*j**2. Let t(s) be the second derivative of f(s). Factor t(y).
2*y*(y + 1)**2/5
Let p(y) be the second derivative of 0 - 1/9*y**3 + 3/2*y**2 - 3*y + 1/18*y**4 - 1/90*y**5. Let x(o) be the first derivative of p(o). Factor x(l).
-2*(l - 1)**2/3
Let v(m) be the third derivative of m**10/453600 - m**8/30240 + m**6/2160 + m**5/60 + m**2. Let d(k) be the third derivative of v(k). Solve d(b) = 0 for b.
-1, 1
Suppose 0 = 3*r - 1 - 8. Suppose r*w - 1 = -h - 14, -11 = 2*h + 3*w. Determine v so that v**2 + h*v**2 - v**2 - 2*v**3 = 0.
0, 1
Let s(z) be the first derivative of -z**7/420 + z**6/120 - z**5/120 - 3*z**2 + 2. Let j(u) be the second derivative of s(u). Suppose j(q) = 0. What is q?
0, 1
Let p(h) = 6*h**4 + 16*h**3 + 6*h**2. Let o(s) = -s**4 + s**3 + s**2 + s. Let k(t) = 4*o(t) - 2*p(t). Find v such that k(v) = 0.
-1, 0, 1/4
Let p be ((-44)/(-12) + -3)*3. Factor -8*c**3 - 4*c**2 + 8*c - 4*c**4 - 20 + 4*c**p + 24.
-4*(c - 1)*(c + 1)**3
Let l be 2/3 + (-4)/(-3). Suppose -2*f = l*f - 12. Factor -1/4*n**4 + 1 + n - n**f - 3/4*n**2.
-(n - 1)*(n + 1)*(n + 2)**2/4
Let u = -9 - -12. Determine c, given that -150*c**5 + 12*c - 13*c**2 - 20*c**2 + 195*c**4 - 15*c**2 - 9*c**u = 0.
-1/2, 0, 2/5, 1
Let t(r) be the second derivative of 0*r**2 - 7*r + 1/90*r**6 + 0 + 1/18*r**4 - 1/20*r**5 + 0*r**3. Solve t(k) = 0.
0, 1, 2
Let x be (-1)/1 + 20/5. Let y(r) = 3*r**2 + r + 0*r**2 + x - 5*r**2. Let k(g) = g + 1. Let w(p) = -5*k(p) + y(p). Factor w(j).
-2*(j + 1)**2
Let r(k) be the first derivative of 0*k**5 + 0*k**3 + 0*k + 1/420*k**6 - k**2 - 2 + 0*k**4 + 1/735*k**7. Let n(q) be the second derivative of r(q). Factor n(p).
2*p**3*(p + 1)/7
Let z(o) be the first derivative of -o**5/180 + o**4/36 - 2*o**2 + 1. Let x(l) be the second derivative of z(l). Suppose x(f) = 0. What is f?
0, 2
Factor 2/3 + 2/3*v**2 + 5/3*v - 4/3*v**4 - 1/3*v**5 - 4/3*v**3.
-(v - 1)*(v + 1)**3*(v + 2)/3
Let x(j) be the third derivative of -j**8/26880 - j**7/10080 - j**4/24 + 5*j**2. Let m(t) be the second derivative of x(t). Find d such that m(d) = 0.
-1, 0
Let s(g) = -g**3 - 5*g**2 + 5*g - 2. Let m be s(-6). Factor 9 + 6*b - m*b**2 - 1 - 2*b.
-4*(b - 2)*(b + 1)
Let p(x) = 2*x**2 - 22*x - 3. Let w(y) = -7*y**2 + 67*y + 8. Let k(o) = 8*p(o) + 3*w(o). Determine t so that k(t) = 0.
0, 5
Let j(h) be the second derivative of 7*h - 8*h**2 - 1/5*h**5 + h**4 + 0 + 0*h**3. Factor j(r).
-4*(r - 2)**2*(r + 1)
Let m(w) be the first derivative of -w**6/3 + 2*w**5/5 + w**4/2 - 2*w**3/3 - 31. Factor m(p).
-2*p**2*(p - 1)**2*(p + 1)
Let h(v) be the first derivative of -v**4/42 + 2*v**3/21 + 3*v**2/7 - 4*v - 2. Let z(p) be the first derivative of h(p). Solve z(m) = 0.
-1, 3
Let x(q) be the third derivative of -q**5/15 + q**4 - 6*q**3 + 2*q**2. Determine u, given that x(u) = 0.
3
Factor j**4 + 4/5 + 22/5*j**3 + 4*j + 33/5*j**2.
(j + 1)**2*(j + 2)*(5*j + 2)/5
Let i = -23 - -23. Suppose i*q - 4*m = -3*q, 3*m = -4*q. Factor -4/7*k**3 + 0*k + q*k**2 + 0 + 2/7*k**4.
2*k**3*(k - 2)/7
Let v = -8/15 - -28/15. Suppose -2/3*l**3 - 2/3*l - v*l**2 + 0 = 0. Calculate l.
-1, 0
Let b be (-29)/(-5) - (17 - 14). Solve 36/5*l**2 + b*l**3 + 2/5*l**4 + 16/5 + 8*l = 0.
-2, -1
Let o(s) = s**3 + 12*s**2 - s - 12. Let v(m) = m**3 + 11*m**2 - m - 11. Let h(u) = 5*o(u) - 6*v(u). Let h(l) = 0. Calculate l.
-6, -1, 1
Let v = 10 + -6. Determine h so that v*h**3 + 2*h + 2 - 3*h**2 + 6