= -k**2 - 22*k - 105. Let o be d(-7). Let c(a) be the first derivative of -1 - 8/21*a**3 + 4/7*a**2 + o*a + 1/14*a**4. Solve c(h) = 0.
0, 2
Factor 0*k - 5*k**2 + 9/2*k**3 + 0.
k**2*(9*k - 10)/2
Let y = -35944/9 + 3994. Factor 4/3*f - y*f**2 - 2.
-2*(f - 3)**2/9
Let j = -19/2 + 10. Let c(y) be the second derivative of 2*y + 1/30*y**6 - j*y**2 - 1/10*y**5 + 0 + 1/3*y**3 + 0*y**4. Factor c(i).
(i - 1)**3*(i + 1)
Let j = -28658 + 28660. Find s, given that 10/3*s**j + 0*s + 0*s**3 - 2/3*s**4 - 8/3 = 0.
-2, -1, 1, 2
Let m = 102 - 113. Let r(d) = -24*d - 16. Let u(v) = -v**3 + v**2 + 71*v + 47. Let o(x) = m*r(x) - 4*u(x). Factor o(z).
4*(z - 3)*(z + 1)**2
Let d(y) be the third derivative of -y**6/420 + 41*y**5/210 - 19*y**4/4 - 21*y**3 + 56*y**2. Solve d(l) = 0 for l.
-1, 21
Let b(y) be the third derivative of 1/48*y**4 + 1/240*y**5 + 0 - 32*y**2 + 1/24*y**3 + 0*y. Let b(p) = 0. Calculate p.
-1
Let m(p) = -8*p**4 - 6*p**3 - 6*p**2 + 20*p - 7. Let z(a) = 7*a**4 + 5*a**3 + 5*a**2 - 17*a + 6. Let u(i) = 6*m(i) + 7*z(i). Let u(g) = 0. Calculate g.
-1, 0, 1
Let a(r) = 2*r**2 - 36*r + 36. Let k be a(17). Let d(t) be the second derivative of 0 - 2*t**3 - 9*t**k - 1/6*t**4 - 7*t. Suppose d(y) = 0. Calculate y.
-3
Let z be 6/(-4) - 91/(-42)*3. Suppose 2*x + z = 3*v, 6*x - 4*v + 6 = 3*x. Solve 0 + 1/6*f + 0*f**x + 1/6*f**5 - 1/3*f**3 + 0*f**4 = 0 for f.
-1, 0, 1
Let o(m) be the first derivative of m**4/40 - 2*m**3/15 + m**2/20 + 3*m/5 + 97. Factor o(h).
(h - 3)*(h - 2)*(h + 1)/10
Let g(d) = 16*d + 162. Let w be g(-10). Let 10/11*x**3 - 2/11*x**5 - 16/11*x + 2/11*x**4 - 8/11 - 2/11*x**w = 0. Calculate x.
-1, 2
Let f(c) be the second derivative of 5*c**7/42 + 19*c**6/6 + 63*c**5/2 + 135*c**4 + 180*c**3 + 17*c + 1. Factor f(q).
5*q*(q + 1)*(q + 6)**3
Factor 17 - 88*i - 5 + 10*i**2 + 14*i**3 + 12.
2*(i - 2)*(i + 3)*(7*i - 2)
Let f be -8 - (-236)/(-33)*(-3 + (-18)/(-12)). Find x such that -f*x + 225/11 + 1/11*x**2 = 0.
15
Suppose -28*p + 115 - 142 - 268*p + 316 - p**3 - 27*p + 35*p**2 = 0. Calculate p.
1, 17
Let d(x) be the first derivative of 14/3*x**3 + 0*x + 2*x**2 - 9/2*x**4 - 34. Factor d(t).
-2*t*(t - 1)*(9*t + 2)
Let z = 4 - -1. Let u(s) be the first derivative of -1/6*s**2 - z + 0*s - 1/9*s**3 + 1/15*s**5 + 1/12*s**4. Determine h, given that u(h) = 0.
-1, 0, 1
Let i(c) = -c**2 + 3*c + 6. Let l be i(4). Factor 5*n**2 + 3*n**l + 3*n**2 - 4*n - 7*n**2.
4*n*(n - 1)
Let x(a) be the second derivative of 0*a**2 - 11*a + 1/3*a**4 - 3/5*a**5 + 0 + 0*a**3 - 2/21*a**7 + 2/5*a**6. Solve x(q) = 0 for q.
0, 1
Let v be (-6)/(-20)*(-36)/81 - 1652/(-1365). Factor v*u + 24/13 + 2/13*u**2.
2*(u + 3)*(u + 4)/13
Let l be 46/(-7) - (-8)/14*1. Let k be 15/l*84/(-1785). What is u in -2/17*u - k*u**5 + 4/17*u**3 + 0*u**4 + 0*u**2 + 0 = 0?
-1, 0, 1
Factor 2/9*d**2 + 0 + 0*d.
2*d**2/9
What is x in -6*x**4 - 3*x**4 + 8*x**2 + 5*x**4 - 4*x**3 = 0?
-2, 0, 1
Let s(j) be the first derivative of 3*j**4/20 + 17*j**3/5 - 111*j**2/10 + 57*j/5 - 148. Solve s(l) = 0 for l.
-19, 1
Let m be 405/(-45)*4/(-42). Suppose 8 = o + 3*o. Let -3/7*b**o + 9/7*b - m = 0. What is b?
1, 2
Let h = -126 + 132. Find a, given that 7*a**3 - 5*a**3 - a**5 - h*a**4 - 11*a**3 = 0.
-3, 0
Let c(j) be the first derivative of 21*j**5/5 + 33*j**4 + 75*j**3 + 69*j**2 + 24*j + 47. Factor c(q).
3*(q + 1)**2*(q + 4)*(7*q + 2)
Let f(w) be the third derivative of w**6/180 - 8*w**5/45 - w**4 + 79*w**2. Let f(n) = 0. Calculate n.
-2, 0, 18
Suppose 2*z - 38 = -14. Factor -17*m**2 + z*m**2 + 4*m**3 + m**3.
5*m**2*(m - 1)
Let h = -554 - -554. Let c(x) be the third derivative of -1/420*x**6 + h*x - 1/84*x**4 + 0 - x**2 - 1/105*x**5 + 0*x**3. Factor c(z).
-2*z*(z + 1)**2/7
Let w(z) be the first derivative of 23 + 22*z**2 + 8*z + 56/3*z**3. Factor w(d).
4*(2*d + 1)*(7*d + 2)
Let h = 21978/5 - 4395. Factor -4/5*r + 0 + 1/5*r**4 + h*r**3 + 0*r**2.
r*(r - 1)*(r + 2)**2/5
Let j(g) = -9*g**2 + 15*g - 5. Let k(f) = -5*f**2 + 7*f - 2. Let c(s) = -2*j(s) + 5*k(s). Let v(d) = -8*d**2 + 5*d. Let z(u) = 3*c(u) - 2*v(u). Factor z(o).
-5*o*(o - 1)
Let n(v) be the second derivative of v**5/20 + v**3/6 - 5*v. Let q(x) = -6*x**3 - 3*x**2 - 21*x. Let a(u) = -15*n(u) - q(u). Determine s so that a(s) = 0.
-2/3, 0, 1
Let y(n) be the third derivative of 380689*n**5/20 + 617*n**4/2 + 2*n**3 - 249*n**2. Solve y(b) = 0 for b.
-2/617
Let k(a) = 11*a**2 - a. Let x be k(1). Suppose 0 = -3*g + 7*g + 5*f - 33, 13 = -g + 3*f. Factor 6*o - o + x*o**g - 4*o**3 + 10*o**3 - o.
2*o*(o + 1)*(3*o + 2)
Let m(t) be the second derivative of -t**6/20 - 9*t**5/20 + 15*t**4/8 - 2*t**3 - 111*t + 1. Determine u so that m(u) = 0.
-8, 0, 1
Let l(a) be the second derivative of -a**6/24 - 15*a**5/16 - 15*a**4/2 - 45*a**3/2 + 116*a. What is j in l(j) = 0?
-6, -3, 0
Let y(f) be the first derivative of f**6/24 - f**5/20 - f**4/16 + f**3/12 - 86. Find v such that y(v) = 0.
-1, 0, 1
Let x(r) be the first derivative of 6*r**2 - r**3 - 3/4*r**4 - 14 + 12*r. Factor x(c).
-3*(c - 2)*(c + 1)*(c + 2)
Let -1/6*v**3 + 2/3*v**2 - 1 - 1/6*v = 0. Calculate v.
-1, 2, 3
Let g(l) be the first derivative of -l**7/189 + l**6/135 + l**5/90 - l**4/54 - 18*l - 18. Let x(r) be the first derivative of g(r). Factor x(f).
-2*f**2*(f - 1)**2*(f + 1)/9
Let i = 643/1001 + -51/143. Factor -4/7 + 4/7*p**2 - i*p + 2/7*p**3.
2*(p - 1)*(p + 1)*(p + 2)/7
Let m be 7/(-28) - (-44)/160. Let u(w) be the third derivative of w**2 - 1/16*w**4 + m*w**6 + 0*w**3 - 1/40*w**5 + 0*w + 0. Factor u(f).
3*f*(f - 1)*(2*f + 1)/2
Let z(y) be the second derivative of -y**7/21 + 2*y**5/5 - y**4/3 - y**3 + 2*y**2 - y + 65. Factor z(w).
-2*(w - 1)**3*(w + 1)*(w + 2)
Let q(k) = -k**2 - k. Let o(z) = 3*z**3 + z**2 - 32*z + 24. Let c = 34 - 35. Let i(m) = c*o(m) + 2*q(m). Factor i(h).
-3*(h - 2)*(h - 1)*(h + 4)
Let a = 2/1387 + -84621/9709. Let j = a - -9. Factor -2/7*r**2 + j*r**3 + 0 - 4/7*r.
2*r*(r - 2)*(r + 1)/7
Determine t so that 0*t**2 - 47 - 3*t**2 + 129 - 55 = 0.
-3, 3
Factor -3/7 + 0*j + 3/7*j**2.
3*(j - 1)*(j + 1)/7
Let i(f) be the third derivative of 8/3*f**3 + 44*f**2 + 0*f + 5/4*f**4 + 0 - 1/60*f**6 + 1/5*f**5. Find w, given that i(w) = 0.
-1, 8
Let q be (-35)/(-20) + -2 + (-23)/4. Let d(b) = -3*b**4 + 12*b**3 + 3*b**2 - 6. Let o(z) = z**4 - z**3 + 1. Let u(s) = q*o(s) - d(s). Factor u(p).
-3*p**2*(p + 1)**2
Let x be 91/(-52)*(114/(-210) + (-4)/(-10)). Factor 0*f**2 - 1/4*f**3 + x*f + 0.
-f*(f - 1)*(f + 1)/4
Let b(u) = 1. Let s(n) = -17*n + 7*n + 3*n - 3 + 4*n**2. Let w(x) = -b(x) - s(x). Find o, given that w(o) = 0.
-1/4, 2
Let y(c) be the first derivative of -50*c - 64/5*c**5 + 97/2*c**4 + 95*c**2 + 4/3*c**6 + 36 - 278/3*c**3. Factor y(l).
2*(l - 1)**3*(2*l - 5)**2
Let s(r) = -30*r**4 - 60*r**3 + 5*r**2. Let x(d) = 5*d**4 + 10*d**3 - d**2. Let m(a) = -6*s(a) - 35*x(a). What is l in m(l) = 0?
-1, 0
Let x(d) = -d**2 + 7*d + 5. Let b be x(6). Factor 9*c - 5 - 3*c**3 + b + 0*c.
-3*(c - 2)*(c + 1)**2
Solve -46/7*r**2 - 86/7*r - 6 - 2/7*r**3 = 0 for r.
-21, -1
Let 0*u - u**2 + 0 - 1/2*u**3 = 0. What is u?
-2, 0
Suppose 4 = 2*c - 2*b - 6, -3*b = -c + 11. Let m be -22*1/(-8) - 2. Factor m*x**c + 3/2 + 9/4*x.
3*(x + 1)*(x + 2)/4
Let p be 1*2/(0 - -1). Suppose 14 = 4*l + p. Let h(u) = 6*u + 3. Let o(x) = -x**2 + 11*x + 5. Let m(r) = l*o(r) - 7*h(r). Let m(k) = 0. What is k?
-2, -1
Let h(d) be the second derivative of 0 + 1/9*d**4 - 12*d + 1/15*d**5 + 0*d**3 + 1/90*d**6 + 7*d**2. Let w(p) be the first derivative of h(p). Factor w(u).
4*u*(u + 1)*(u + 2)/3
Suppose -150 = -34*p - 48. Solve 0 - 2/9*m**p + 0*m - 2/3*m**2 = 0.
-3, 0
Factor 7/2*a**3 - 7/2*a - 1/4*a**4 + 49/4 - 12*a**2.
-(a - 7)**2*(a - 1)*(a + 1)/4
Let q = -17/29 - -80/87. Let z(u) be the second derivative of -3/10*u**5 - 1/6*u**3 + 0 - 8*u + 0*u**2 - 2/15*u**6 - 1/42*u**7 - q*u**4. Factor z(v).
-v*(v + 1)**4
Let a = -154 + 164. Let -15*w - a*w**2 + 151 - 151 + 5*w**3 = 0. What is w?
-1, 0, 3
Let z(u) = -11*u + 9. Let p be z(-4). Let c = -53 + p. Solve -3/7*j**3 - 9/7*j**2 + 3/7*j + c + 9/7*j**4 = 0 for j.
-1, 0, 1/3, 1
Let -18*w**2 + 42*w**3 + 3*w**2 - w**4 + 3*w**2 - 29*w**2 = 0. Calculate w.
0, 1, 41
Let a = -152 + 209. Let j be a/19 + 6/(-9)*-3. Find b such that 0 - 8/13*b**3 - 10/13*b**j + 0*b**2 + 0*b - 24/13*b**4 = 0.
-2, -2/5, 0
Let f(m) be the third derivative of m