 1. Let q(b) = 2*l(b) + 2*w(b). Solve q(j) = 0.
0, 1, 2
Let f(l) be the second derivative of 2*l**6/5 + 21*l**5/10 + 25*l**4/16 + 3*l**3/8 + 11*l. Solve f(c) = 0 for c.
-3, -1/4, 0
Suppose 6/5*i**3 - 3/5*i**4 + 6/5*i**2 - 3/5*i - 3/5*i**5 - 3/5 = 0. Calculate i.
-1, 1
Factor -4/7*a**2 + 4/7 - 16/7*a**3 + 16/7*a.
-4*(a - 1)*(a + 1)*(4*a + 1)/7
Suppose -b = -0*b. Let i = b - -2. Factor -2*s**3 - s + s**3 + 4*s**i - 2*s**2.
-s*(s - 1)**2
Let n(x) be the third derivative of -5/96*x**4 + 1/12*x**3 + 0 - 7/240*x**5 + 0*x + 2*x**2. Factor n(l).
-(l + 1)*(7*l - 2)/4
Let w(b) = -b + 10. Let p be w(7). Let c(x) = -x + 2. Let a be c(-4). Factor -4 + a*g - 4*g**3 + 4*g**3 - 2*g**p.
-2*(g - 1)**2*(g + 2)
Let y(k) be the second derivative of -2/5*k**5 + 1/15*k**6 + 5/6*k**4 - 2/3*k**3 + 5*k + 0 + 0*k**2. Determine m so that y(m) = 0.
0, 1, 2
Let m(c) be the second derivative of -c**6/40 + c**5/10 + c**4/8 - c**3 - 2*c**2 - c. Let b(q) be the first derivative of m(q). Find d such that b(d) = 0.
-1, 1, 2
Factor -g**2 - 4*g**2 - 405 - 17*g + 49*g + 58*g.
-5*(g - 9)**2
Let o = 36 - 36. Find c, given that 4/9 + o*c**2 - 2/3*c + 2/9*c**3 = 0.
-2, 1
Suppose 0 = -4*j - 6 + 18. Suppose 8/11*n + 48/11*n**2 + 0 + 42/11*n**4 + 82/11*n**j = 0. Calculate n.
-1, -2/3, -2/7, 0
What is f in 1/2*f**2 - 1/2*f**3 + 0 + 0*f = 0?
0, 1
Let w(o) be the third derivative of 2*o**7/105 + o**6/15 - o**5/5 - 20*o**2. Determine f, given that w(f) = 0.
-3, 0, 1
Suppose 20 = 5*f + 5*t - 0*t, 5*f = 3*t - 4. Solve 12 + 39 + f + 2*y**3 + 54*y + 18*y**2 + 2 = 0 for y.
-3
Let m = -7 - -11. Let s be 2/8 + 15/m. Let -k**2 + 4*k + 7*k**3 - s*k - k**2 = 0. Calculate k.
0, 2/7
Let a(j) = j + 1. Let y(c) = c**3 + 5*c**2 - 9*c - 11. Let b(o) = -2*a(o) - y(o). Let f be b(-6). Factor t**3 - 3*t**3 + 3*t**f + t**2.
t**2*(t + 1)
Let g(f) be the second derivative of f**8/3920 + f**7/980 + f**6/840 - f**3/6 + 2*f. Let v(w) be the second derivative of g(w). What is j in v(j) = 0?
-1, 0
Let x(r) be the third derivative of 0 + 1/112*r**8 + 23/10*r**5 + 0*r + 3/4*r**6 + 9/70*r**7 + 3*r**2 + 33/8*r**4 + 9/2*r**3. Factor x(m).
3*(m + 1)**3*(m + 3)**2
Let l = 3 + 2. Suppose -4*o + 0*o = l*c - 8, -4*c = o - 2. Factor 2/3*t**3 + 0*t + c - 2/3*t**2.
2*t**2*(t - 1)/3
Suppose -2*k - 8 = -4*k. Let y(p) be the third derivative of 1/240*p**6 + 0 + 1/48*p**k + 0*p**3 + 0*p + 1/60*p**5 + p**2. Suppose y(o) = 0. What is o?
-1, 0
Let h(t) = 2*t**2 - 6*t - 13. Let i(u) = -u**2 + 3*u + 6. Let a(d) = -2*h(d) - 5*i(d). Solve a(j) = 0.
-1, 4
Let t(l) be the first derivative of -3*l**5/5 - 6*l**4 - 18*l**3 + 81*l + 2. Determine p so that t(p) = 0.
-3, 1
Let w(p) be the first derivative of -p**6/60 - p**5/40 + p**4/12 + 6*p + 5. Let h(j) be the first derivative of w(j). Factor h(v).
-v**2*(v - 1)*(v + 2)/2
Let q(b) be the first derivative of 1/9*b**6 + 2/5*b**5 - b**2 + 1 + 1/3*b**4 - 4/9*b**3 - 2/3*b. Factor q(g).
2*(g - 1)*(g + 1)**4/3
Let m = -10 - -8. Let o be (m/(-20))/(10/25). Determine v, given that -1/4*v**4 + o*v + 0 - 3/4*v**2 + 3/4*v**3 = 0.
0, 1
Let f = 10 + -8. Determine q, given that -6*q + 0 - 4 + 4 + 3*q**f = 0.
0, 2
Let v = -894 + 2684/3. Factor -v + 1/3*w**2 - 1/3*w.
(w - 2)*(w + 1)/3
Suppose 4*o - 3*v = -2*v + 3, -3*v + 23 = 4*o. Suppose g = o*g - 8. Suppose -3*h**3 - 4*h**4 + g*h**2 + 8*h + 3*h**3 - 6*h**3 + 2*h**5 = 0. Calculate h.
-1, 0, 2
Factor -5/2 + 3*k - 1/2*k**2.
-(k - 5)*(k - 1)/2
Let g(j) be the second derivative of j**5/60 - j**4/36 - j**3/18 + j**2/6 + 3*j. Factor g(q).
(q - 1)**2*(q + 1)/3
Let a = -53 + 58. Let k(b) be the second derivative of 1/60*b**6 - b + 1/4*b**2 + 0 + 1/4*b**4 + 1/3*b**3 + 1/10*b**a. Solve k(t) = 0 for t.
-1
Let l(b) = b**2 + 7*b + 7. Let v be l(-7). Factor 4*h - 4*h**3 - 3*h**2 + v*h**2 - 2*h**2 - 2.
-2*(h - 1)*(h + 1)*(2*h - 1)
Factor 8*q**2 + 8*q + 0*q**2 - 4*q**2.
4*q*(q + 2)
Let j(h) = 3*h - 18. Let a be j(7). Let b(d) be the second derivative of 0 + 1/24*d**a - 1/4*d**2 + 3*d + 1/48*d**4. Factor b(w).
(w - 1)*(w + 2)/4
Factor -4/7*s**2 - 10/7*s + 4/7 + 10/7*s**3.
2*(s - 1)*(s + 1)*(5*s - 2)/7
Determine d so that 0 - 2*d - 1/2*d**2 = 0.
-4, 0
Factor 1479 - 1479 + g**3 + 2*g**2.
g**2*(g + 2)
Suppose -4*s = -7*s + 42. What is h in -26*h**3 - s*h - 2 + 7*h**4 + 4 + 0 + 30*h**2 + h**4 = 0?
1/4, 1
Suppose -1/4*w**3 + 0*w**2 + 0 + 1/4*w = 0. What is w?
-1, 0, 1
Factor -181*g**2 + 3*g + 185*g**2 + 2 + 6*g.
(g + 2)*(4*g + 1)
Factor -2 + 7/8*b**4 + 1/8*b**5 - 2*b + b**2 + 2*b**3.
(b - 1)*(b + 2)**4/8
Let i(b) be the first derivative of -1/12*b**3 - 8 - 3/8*b**2 - 1/2*b. Factor i(h).
-(h + 1)*(h + 2)/4
Let c(h) be the third derivative of -h**11/124740 + h**9/30240 - h**8/30240 + h**5/15 - 2*h**2. Let i(k) be the third derivative of c(k). What is o in i(o) = 0?
-1, 0, 1/2
Let d(b) be the second derivative of b**4/96 - b**3/16 + b**2/8 + 52*b. Determine q so that d(q) = 0.
1, 2
Let o(n) be the first derivative of 3*n**5/5 + 9*n**4/4 + n**3 - 9*n**2/2 - 6*n - 5. Factor o(i).
3*(i - 1)*(i + 1)**2*(i + 2)
Let s(f) = 3*f**4 - 9*f**3 + 9*f**2 - f - 2. Let y(h) = 30*h**4 - 90*h**3 + 90*h**2 - 9*h - 21. Let j(l) = -21*s(l) + 2*y(l). Factor j(r).
-3*r*(r - 1)**3
Suppose s - 6*s + 20 = 0. Suppose 47 = 5*r - 3*b + 12, s*r - 4*b - 36 = 0. Suppose -n**2 - 1 + 3*n + 3 - r = 0. Calculate n.
1, 2
Let x(p) be the first derivative of p**6/3 - 24*p**5/35 + 3*p**4/14 + 4*p**3/21 + 1. Find n, given that x(n) = 0.
-2/7, 0, 1
Suppose u - 3 = -0. Let j(s) be the second derivative of 1/60*s**4 + 0*s**u + 0*s**2 + 0 + 4*s. Determine g, given that j(g) = 0.
0
Let x = 1 - -1. Let z be (0 - -3)/((-24)/(-32)). Let 16 + 2*d**3 - 16 + x*d - z*d**2 = 0. What is d?
0, 1
Let s(n) be the second derivative of n**6/285 - n**5/190 - n**4/38 + 5*n**3/57 - 2*n**2/19 + 11*n. Determine v, given that s(v) = 0.
-2, 1
Let m(i) be the first derivative of 2*i**3/3 - 8*i - 9. Determine q so that m(q) = 0.
-2, 2
Let k(j) be the second derivative of -6*j + 2/9*j**2 + 0 + 5/9*j**3 + 1/3*j**4. Factor k(a).
2*(3*a + 2)*(6*a + 1)/9
Let -8*d**2 + d**4 - 13*d**3 - 6*d**2 + 7*d**4 + 4*d + 3*d**3 = 0. What is d?
-1, 0, 1/4, 2
Suppose 11 = -2*z + 3*i, 0*z + z - 4*i = -13. Let o = z + 4. Determine m so that 4 - 3*m**o + 4*m**3 - m - 4*m**2 - 3*m**3 + 3*m = 0.
-2, -1, 1
Let h(t) be the third derivative of 0*t - 1/480*t**6 + 0 + 0*t**3 - t**2 - 1/420*t**7 + 0*t**5 + 0*t**4 - 1/1344*t**8. Factor h(c).
-c**3*(c + 1)**2/4
Let q be -2 + (-1 - 9/(-3)). Let y(d) = q*d + d - 1 + 0*d. Let r(m) = 2*m**3 + 2*m**2 - 5*m + 5. Let x(b) = -r(b) - 5*y(b). Determine f so that x(f) = 0.
-1, 0
Factor 1/3*c + 2/3*c**2 + 0 + 1/3*c**3.
c*(c + 1)**2/3
Let p = 7 - 4. Factor -2*m**3 + 4*m**p - 1 + 1.
2*m**3
Suppose -2 - 1 = -d. Find g, given that -2*g**3 + g**3 + 3*g**d + 6*g**2 + g**3 = 0.
-2, 0
Let c = 23 - 20. Suppose -l + 2*o + c*o = 0, 0 = 5*l - o. Factor -1/6*a**3 + l*a + 0 + 1/6*a**2.
-a**2*(a - 1)/6
Factor -4*d**2 + 9 + 7 - 12.
-4*(d - 1)*(d + 1)
Suppose 2*h + 5 = 3*h + s, 2*h + 3*s - 12 = 0. Let l(u) = -u**3 - 1. Let r(n) = -2*n**3 - 2*n**2 + n - 3. Let c(y) = h*l(y) - r(y). Solve c(p) = 0 for p.
0, 1
Determine h, given that -3*h**5 - 43*h**3 + 6*h**4 - 43*h**3 + 83*h**3 = 0.
0, 1
Let g(d) = -36*d**4 - 440*d**3 - 1728*d**2 - 1324*d. Let v(w) = 4*w**4 + 49*w**3 + 192*w**2 + 147*w. Let y(u) = -3*g(u) - 28*v(u). Let y(b) = 0. Calculate b.
-6, -1, 0
Suppose 2*n + 18 = 4*k + n, -9 = -k - 2*n. Factor -f**4 - 2*f**k + f**3 - 3*f**4 - 3*f**3 + 0*f**5.
-2*f**3*(f + 1)**2
Let s(c) be the second derivative of -c**6/180 - c**5/90 + 3*c**2/2 - 2*c. Let j(i) be the first derivative of s(i). Factor j(f).
-2*f**2*(f + 1)/3
Let o(j) = j**4 - j - 1. Let c(s) = 7*s**4 - s**3 - 6*s - 6. Let h(z) = z**2 - 9*z + 2. Let i be h(8). Let q(m) = i*o(m) + c(m). Determine k so that q(k) = 0.
0, 1
Let s(q) = -3*q**2 - q. Suppose 26 = -5*w - 109. Let a(x) = 39*x**2 + 12*x. Let p(j) = w*s(j) - 2*a(j). Determine o, given that p(o) = 0.
-1, 0
Let d = -62 - -64. Determine x, given that 1/3*x**3 + 0 - 1/3*x**d + 0*x = 0.
0, 1
Let l be ((-4)/1680)/((-9)/4). Let a(s) be the third derivative of -2*s**2 + 0*s**5 + 0*s + 0*s**6 + 0*s**4 + 0*s**3 - l*s**7 + 0. Factor a(n).
-2*n**4/9
Let x(t) = 6*t**2 - 4*t**2 - t**2 - t + 2 - 2*t. Let z = -2 - -5. Let d(n) = -n**2 + 3*n - 2. Let l(b) = z*d(b) + 