= 0 for h.
-2, -1, 0
Let y(b) = 7*b**3 - 9*b**2 + 7*b - 5. Let r(v) = -3*v**3 + 4*v**2 - 3*v + 2. Let z(c) = 10*r(c) + 4*y(c). Determine l, given that z(l) = 0.
0, 1
Let c(z) be the first derivative of z**5/30 - z**4/24 - z**3/6 + 5*z**2/12 - z/3 - 15. Let c(y) = 0. What is y?
-2, 1
Let v(l) = 9*l**4 - 17*l**2 - 3*l + 5. Let s(b) = 8*b**4 - 16*b**2 - 4*b + 4. Let x(z) = -5*s(z) + 4*v(z). Factor x(j).
-4*j*(j - 2)*(j + 1)**2
Let a = -4/31 - -74/93. Factor 2/3*r**2 - a*r + 0.
2*r*(r - 1)/3
Let d(i) be the first derivative of i**4/18 - 10*i**3/27 - i**2/9 + 10*i/9 - 7. Let d(p) = 0. Calculate p.
-1, 1, 5
Let y = 1/33305 - -95917/46627. Let u = 8/7 + y. Let 0*l - 6/5*l**4 - u*l**3 + 2/5 - 12/5*l**2 = 0. Calculate l.
-1, 1/3
Let f(p) = -p**2 - p. Let d(b) = -7*b**2 - b. Let x(h) = d(h) - 4*f(h). Suppose x(r) = 0. Calculate r.
0, 1
Let l(a) = -5*a**5 + 160*a**4 + 505*a**3 + 640*a**2 + 320*a. Let i(s) = -s**5 + 40*s**4 + 126*s**3 + 160*s**2 + 80*s. Let g(b) = -25*i(b) + 6*l(b). Factor g(d).
-5*d*(d + 2)**4
Suppose p + 24 = -3*p. Let f = 9 + p. What is k in -3*k**f - 3*k - 3*k - 3*k + 9*k**2 + 3 + 0*k = 0?
1
Let u(b) be the third derivative of b**5/330 + b**4/132 - 2*b**2. What is z in u(z) = 0?
-1, 0
Let j(x) = -x**2 + 0*x**3 - 3*x**2 + 3 + 2*x**3 - x**3. Let g be j(4). Let 2/7*y**g - 2/7*y + 2/7 - 2/7*y**2 = 0. Calculate y.
-1, 1
Let t(a) be the third derivative of -a**6/120 - a**5/15 - 5*a**4/24 - a**3/3 - 15*a**2. Factor t(n).
-(n + 1)**2*(n + 2)
Let c(d) be the second derivative of -d**7/14 + 7*d**6/10 - 57*d**5/20 + 25*d**4/4 - 8*d**3 + 6*d**2 + 6*d. Factor c(f).
-3*(f - 2)**2*(f - 1)**3
Factor -32/7*s**2 + 4*s - 8/7 + 8/7*s**3 - 4/7*s**5 + 8/7*s**4.
-4*(s - 1)**4*(s + 2)/7
Let x(h) = -h**4 + h**3 - 2*h - 2. Let r(b) = -2*b**4 + 2*b**3 - 5*b - 5. Suppose 3*k - 5 - 1 = 0. Let g(v) = k*r(v) - 5*x(v). Factor g(w).
w**3*(w - 1)
Let h(l) = -l**2 + 10*l + 4. Let c be h(10). Let 3*s**2 - 2/3 + 5/3*s - 5/3*s**3 - 7/3*s**c = 0. Calculate s.
-1, 2/7, 1
Let v(q) = -q**3 + 4*q**2 + 3*q + 10. Let z be v(5). Let o = 4 - 2. Factor -1/5*d + z - 1/5*d**o.
-d*(d + 1)/5
Let y(m) be the first derivative of -m**5/40 + m**4/8 - m**3/6 + m - 3. Let b(w) be the first derivative of y(w). Let b(d) = 0. Calculate d.
0, 1, 2
Let q(s) = -16*s + 15*s + 3 - 4. Let g be q(-3). Let -3*p - p - p - p + g*p**2 = 0. Calculate p.
0, 3
Let k(p) be the first derivative of -p**6/540 + p**5/90 - p**4/36 + p**3/27 - 3*p**2/2 - 2. Let v(n) be the second derivative of k(n). Factor v(g).
-2*(g - 1)**3/9
Let g(o) be the second derivative of -o**4/12 - 2*o**3/3 - 2*o**2 + 4*o. Factor g(y).
-(y + 2)**2
Let l(m) be the second derivative of 1/168*m**7 + 1/80*m**5 + 0*m**3 + 0 + 0*m**2 - 1/60*m**6 + 2*m + 0*m**4. Factor l(c).
c**3*(c - 1)**2/4
Let i(s) be the second derivative of -s**5/120 + s**4/72 + s**3/6 + 6*s. Solve i(z) = 0.
-2, 0, 3
Suppose -3*z + z + 442 = 5*i, 4 = -2*i. Let p = -443/2 + z. Factor 0 + 0*m + p*m**4 - 15/2*m**3 - 3*m**2.
3*m**2*(m - 2)*(3*m + 1)/2
Let l(s) be the second derivative of -s**5/8 - 35*s**4/24 - 25*s**3/4 - 45*s**2/4 + 20*s. Let l(n) = 0. What is n?
-3, -1
Let o(c) be the third derivative of c**9/6300 - 3*c**8/2800 + 3*c**7/1400 - c**6/600 - c**4/6 - 2*c**2. Let l(m) be the second derivative of o(m). Factor l(s).
3*s*(s - 2)*(2*s - 1)**2/5
Let j = -1 - 2. Let v be j/(-6) - 3/12. Solve -1/2*s + 1/4 + v*s**2 = 0.
1
Let k = 82 + -79. Let f = -127/4 - -421/12. Factor -f*y**4 - 2/3*y**5 - 2/3 - 10/3*y - 20/3*y**2 - 20/3*y**k.
-2*(y + 1)**5/3
Let y be 4/18 - 51/(-135). Let t(c) = 2*c**2 + 16*c + 2. Let b be t(-8). Determine i, given that 6/5 - y*i**3 + 12/5*i**b - 3*i = 0.
1, 2
What is t in 12/5*t**2 - 3/5*t - 9/5 = 0?
-3/4, 1
Suppose -6*b - 3*g + 21 = -2*b, 3*g = -b + 12. Factor -6*c**3 - c**2 + b*c**2 + 0*c**4 - 2*c**5 + 6*c**4.
-2*c**2*(c - 1)**3
Let h = -15 + 15. Let b(g) be the first derivative of h*g + 0*g**2 - 4/9*g**3 - 2 + 2*g**5 + 1/6*g**4. Factor b(z).
2*z**2*(3*z - 1)*(5*z + 2)/3
Let s(m) be the third derivative of m**7/315 - m**6/180 - m**5/6 - 23*m**4/36 - 10*m**3/9 + 67*m**2. Find v, given that s(v) = 0.
-2, -1, 5
Suppose 4*d + 5*f + 7 = -12, -3*d - 9 = 2*f. Let k = d + 3. What is r in -7*r**5 + 5*r**5 + k*r**4 + 0*r**4 = 0?
0, 1
Let n(j) be the first derivative of j**5 + 25*j**4/4 + 35*j**3/3 + 15*j**2/2 + 31. Factor n(q).
5*q*(q + 1)**2*(q + 3)
Suppose -a + 1 = 2*k + 4*a, k + 3*a = 0. Suppose 4/5 - 4/5*u**2 - 2/5*u**k + 2/5*u = 0. What is u?
-2, -1, 1
Determine h so that 9*h**2 + h**2 + h**2 + h**2 + 9*h + 2 + 5*h**3 = 0.
-1, -2/5
Suppose 0*r - 43 = -3*r - 5*g, 0 = -2*r - 5*g + 37. Let f be (3/2)/(3 - 2). Find s, given that -f*s**2 - 6*s - r = 0.
-2
Let l be (8 - 6) + 1*2. Let f be 3 - l - (-36)/28. Solve 0 - f*v - 2/7*v**2 = 0 for v.
-1, 0
Let g = 1/24 + -71/120. Let z = -3/10 - g. Find f, given that -z*f**4 + 1/4*f + 1/2*f**2 + 1/4*f**5 - 1/2*f**3 - 1/4 = 0.
-1, 1
Let y(n) be the second derivative of -7*n**7/30 - 28*n**6/25 - 22*n**5/25 + 8*n**4/5 - 8*n**3/15 + 24*n. Find p such that y(p) = 0.
-2, 0, 2/7
Let x(d) be the first derivative of -d**8/1680 + d**7/2520 + d**6/360 - d**5/360 - 2*d**3/3 + 2. Let p(u) be the third derivative of x(u). Factor p(t).
-t*(t - 1)*(t + 1)*(3*t - 1)/3
Let s(v) = v**5 + v**4 + v**3 - v**2. Let k(w) = 2*w**4 - 2*w**2 - 2*w. Let z(g) = -k(g) - s(g). Let z(f) = 0. Calculate f.
-2, -1, 0, 1
Factor -10/7*t - 8/7 - 2/7*t**2.
-2*(t + 1)*(t + 4)/7
Let m(t) be the first derivative of 4/3*t**3 + 1 + 0*t + 0*t**4 + t**2 - 4/5*t**5 - 1/3*t**6. What is w in m(w) = 0?
-1, 0, 1
Let z(h) be the first derivative of 3*h**4/4 + h**3 - 3*h**2/2 - 3*h + 5. Let z(d) = 0. Calculate d.
-1, 1
Determine g, given that -16*g**3 + 4*g**4 + 11*g**2 + 107*g + 9*g**2 - 115*g = 0.
0, 1, 2
Determine k, given that 0 + 2/3*k**2 - 2/3*k**3 + 4/3*k = 0.
-1, 0, 2
Let b(v) be the second derivative of 0 - 1/20*v**5 - 1/6*v**3 + 0*v**2 + 5*v - 1/6*v**4. Suppose b(c) = 0. Calculate c.
-1, 0
Let g(p) be the third derivative of 0*p**4 + 1/105*p**5 + 0*p**3 - 1/140*p**6 + 0 - 8/735*p**7 - 3*p**2 + 0*p - 1/392*p**8. Solve g(l) = 0.
-2, -1, 0, 1/3
Let b(u) be the first derivative of 21*u**5/5 + 57*u**4/4 + 8*u**3 - 6*u**2 - 4. Suppose b(s) = 0. Calculate s.
-2, -1, 0, 2/7
Let q(c) = c**3 - 5*c**2 - 5*c - 3. Let u be q(6). Factor 9*z + z**2 - 9*z**3 + 6*z**4 + 2*z**2 - 3*z**4 - 9 + u.
3*(z - 2)*(z - 1)**2*(z + 1)
Let p(z) = 3*z**3 - z**3 - z**3. Let m(l) be the first derivative of -3*l**4/2 + 2*l**3/3 + 2. Let b(r) = -m(r) - 4*p(r). Factor b(y).
2*y**2*(y - 1)
Let g(f) be the second derivative of -f**5/30 - f**4/6 - 3*f**2/2 + 5*f. Let d(l) be the first derivative of g(l). Find t, given that d(t) = 0.
-2, 0
Let d be 9*(-2)/((-3)/1*2). Let 0 - 2/9*f**d + 0*f - 2/9*f**2 = 0. Calculate f.
-1, 0
Let c(b) be the third derivative of -4*b**2 + 1/75*b**6 + 0*b**3 + 0*b - 1/525*b**7 - 1/30*b**5 + 1/30*b**4 + 0. Factor c(y).
-2*y*(y - 2)*(y - 1)**2/5
Suppose -140*f + 142*f = 4. Factor 1/3 + 1/3*j**f + 2/3*j.
(j + 1)**2/3
Let h(u) be the second derivative of -u**7/56 - u**6/40 + 27*u**5/80 - 11*u**4/16 + u**3/2 + 2*u. Factor h(z).
-3*z*(z - 1)**3*(z + 4)/4
Let v be 6 + (-4 - 1) + (2 - 1). Factor 2/7*d**v - 4/7*d + 0.
2*d*(d - 2)/7
Let j = -333 + 336. Factor -8/7*p**j + 0*p + 2/7*p**2 + 0.
-2*p**2*(4*p - 1)/7
Let g = 192 + -190. What is s in -1/2*s**g + 3*s - 9/2 = 0?
3
Let m(v) be the third derivative of v**6/420 - v**5/210 - 2*v**2. Determine z, given that m(z) = 0.
0, 1
Suppose 0 = -2*z + 4*z - 10. Suppose 2*i = 2*r + 2, i + r = -0 + z. Factor -5*q**2 - 2*q - 3 + 3 + 2 + 2*q**3 + i*q**2.
2*(q - 1)**2*(q + 1)
Let i(c) be the first derivative of -c**4/18 - 2*c**3/9 - 2*c**2/9 - 12. Factor i(b).
-2*b*(b + 1)*(b + 2)/9
Let o = 14 + -9. Find f such that 8*f**2 + f**3 - 2*f**3 - 3*f**3 - o*f + f = 0.
0, 1
Let a(y) be the third derivative of -y**5/150 - y**4/60 + 6*y**2. Solve a(i) = 0.
-1, 0
Factor -3/4*m**4 + 0*m**2 - 3/2*m + 3/4 + 3/2*m**3.
-3*(m - 1)**3*(m + 1)/4
Let d(m) be the first derivative of -7 + m + 1/8*m**4 - 1/4*m**2 - 1/3*m**3. Factor d(p).
(p - 2)*(p - 1)*(p + 1)/2
Let p(r) be the first derivative of -r**6/1440 - r**5/240 - r**3/3 - 3. Let y(z) be the third derivative of p(z). Let y(x) = 0. Calculate x.
-2, 0
Let q(f) be the first derivative of f**5/180 - f**3/1