336 - z**7/56 - z**6/36 + 9*z**3/2 - 5*z**2. Let d(p) be the first derivative of x(p). Factor d(v).
-5*v**2*(v + 1)*(v + 2)
Let f be 17 + (4 - (-150)/(-20)). Suppose f - 9*d + 3/2*d**2 = 0. Calculate d.
3
Let w(b) be the second derivative of -b**6/180 + b**5/12 - b**4/3 + 5*b**3/6 - 9*b. Let y(j) be the second derivative of w(j). Suppose y(m) = 0. Calculate m.
1, 4
Let x(p) be the second derivative of p**8/560 + p**7/140 - p**5/20 - p**4/8 + 25*p**3/3 + 7*p. Let r(u) be the second derivative of x(u). Solve r(s) = 0.
-1, 1
Solve 9/11*h**3 + 27/11*h - 25/11*h**2 - 10/11 - 1/11*h**4 = 0.
1, 2, 5
Let y = -6 + 48. Let w = y + -42. Solve -2/3*f - 2/3*f**5 + 0*f**2 + 0*f**4 + w + 4/3*f**3 = 0 for f.
-1, 0, 1
Let m(a) be the first derivative of -50*a**2 - 37 - 5/3*a**3 - 500*a. Find r, given that m(r) = 0.
-10
Let h(n) = -n**2 + n**3 + 0*n**3 - 4*n**2 - 3*n + 4. Let g be h(6). Factor g*z**2 - 4*z**3 - 24*z**2 + 2*z**3.
-2*z**2*(z + 1)
Let 4/3*y + 0 + 2*y**2 - 2/3*y**4 + 0*y**3 = 0. What is y?
-1, 0, 2
Let q(n) be the second derivative of -n**6/6 + 3*n**5/2 - 5*n**4 + 25*n**3/3 - 15*n**2/2 - 4*n. Factor q(v).
-5*(v - 3)*(v - 1)**3
Let a(r) = -3*r**2 - 11*r + 27. Let b = 63 + -62. Let t(y) = y**2 - y + 1. Let g(o) = b*a(o) + 5*t(o). Determine u so that g(u) = 0.
4
Let l(x) be the second derivative of x**4/30 - 7*x**3/5 + 38*x**2/5 - 132*x. Find c, given that l(c) = 0.
2, 19
Let f be (-72)/(-87) + (-1)/5. Let w = 5/29 + f. Determine a so that 4/5 - 8/5*a**3 + 6/5*a - w*a**2 + 2/5*a**5 + 0*a**4 = 0.
-1, 1, 2
Let i(o) be the third derivative of -o**7/1008 + 7*o**6/4320 + o**5/360 + 5*o**4/12 + 14*o**2. Let g(b) be the second derivative of i(b). Solve g(v) = 0 for v.
-1/5, 2/3
Let k(w) be the first derivative of -4/3*w**2 + 9 - 4/9*w**3 - 16/9*w - 1/18*w**4. Factor k(l).
-2*(l + 2)**3/9
Let z = 22 - -167. Suppose -4*f**4 + 19*f - z + 12*f**2 + 205 + 13*f - 8*f**3 = 0. Calculate f.
-2, -1, 2
Let f(j) = j**3 + 15*j**2 + 20*j + 3. Let n be f(-14). Let b = n + 245/3. Suppose 0 - b*v + 5/3*v**3 + v**2 = 0. Calculate v.
-1, 0, 2/5
Suppose 0 = -4*o - 2*x + 12, -8*o + 4*x = -10*o + 12. Let b(m) be the second derivative of 0 - 1/24*m**4 - 8*m + 1/6*m**3 + 0*m**o. Find q, given that b(q) = 0.
0, 2
Let l be 0 + (-2 + -1 - -8). Let w = l + -2. Factor 6*v**2 + 16 + v**3 - 6*v**2 - 12*v**2 - 5*v**w.
-4*(v - 1)*(v + 2)**2
Let z be (120/64)/5*(-8)/6*-1. What is l in 0 + 1/2*l**2 + z*l**3 + 0*l = 0?
-1, 0
Let o(c) be the first derivative of 3/5*c**5 + 8 - 3/4*c**4 + 1/2*c**6 + 0*c - c**3 + 0*c**2. Let o(g) = 0. What is g?
-1, 0, 1
Factor 30*i + 25*i + 4*i**2 + 80 - 7*i.
4*(i + 2)*(i + 10)
Suppose l - 13 - 8 = 0. Let j = -18 + l. Factor 0*s**2 - 3*s + 2*s**2 - 10 + 10 + s**j.
s*(s - 1)*(s + 3)
Let q(k) = -k**2 - 6*k - 4. Let p be q(-4). Factor -4*n**2 - 40*n**3 - p*n**4 + 4*n**2 + 36*n**3.
-4*n**3*(n + 1)
Let q(a) be the first derivative of 3*a**4/4 + 74*a**3/9 + 62*a**2/3 + 8*a - 303. Factor q(u).
(u + 2)*(u + 6)*(9*u + 2)/3
Let a(q) be the third derivative of -q**5/60 + 3*q**3/2 + 576*q**2. Determine c, given that a(c) = 0.
-3, 3
Let k(o) be the first derivative of 1058*o**3/33 - 46*o**2/11 + 2*o/11 - 94. Factor k(c).
2*(23*c - 1)**2/11
Let c be 15/(-12) - 153/(-4). Suppose a + 49 = 136. Factor 70*r**2 + c + 3 + 13*r + 15*r**3 + a*r.
5*(r + 2)**2*(3*r + 2)
Let t(d) be the second derivative of -d**4/6 + 4*d**3/3 - 3*d**2 + 67*d. Suppose t(u) = 0. What is u?
1, 3
Suppose 10*o - 6 = 8*o. Let 2*n - 66*n**2 + 5*n**o + 76*n**2 + 3*n = 0. Calculate n.
-1, 0
Let d(l) be the second derivative of -5*l**4/24 - l**3/2 - l**2/4 + 3*l + 17. Solve d(j) = 0 for j.
-1, -1/5
Factor 1/3*o**3 + 5*o - 7/3*o**2 - 3.
(o - 3)**2*(o - 1)/3
Let r(f) = -10*f**3 + 15*f**2 + 30*f - 5. Let c(i) = i**3 - 2*i + 1. Let p(h) = -5*c(h) - r(h). Factor p(w).
5*w*(w - 4)*(w + 1)
Let -1116*k**3 - 12*k**5 - 15*k**4 + 1104*k**3 + 55*k**4 - 48*k**2 + 16*k = 0. Calculate k.
-1, 0, 1/3, 2
Let j(c) be the second derivative of -5/4*c**4 + 0 + 0*c**2 - 1/2*c**3 + 5*c. Solve j(x) = 0.
-1/5, 0
Let l(u) be the second derivative of 7*u**6/45 + 11*u**5/60 + u**4/18 + 33*u. Factor l(d).
d**2*(2*d + 1)*(7*d + 2)/3
Let f = -21270/11 - -1934. Factor 0 + 0*b + 0*b**2 - 2/11*b**5 + f*b**4 - 2/11*b**3.
-2*b**3*(b - 1)**2/11
Suppose f = -13*f + 70. Suppose 6*g - 7*g + f*g = 0. Factor 4/5*p**2 - 1/5*p**3 + g + 1/5*p - 4/5*p**4.
-p*(p - 1)*(p + 1)*(4*p + 1)/5
Let j(x) be the second derivative of -4*x**7/315 - x**6/45 - x**5/60 - 5*x**4/12 + 29*x. Let v(b) be the third derivative of j(b). Factor v(p).
-2*(4*p + 1)**2
Let g(o) = -3*o**2 - 13*o + 12. Let c be g(-5). Determine p so that 5*p + 9*p**c + 3*p**3 - 1538 - p**4 + 1538 = 0.
-1, 0, 5
Let g be (8/((-224)/(-14)))/(13/24). Solve -18/13*b**2 - g*b**3 - 8/13*b - 2/13*b**4 + 0 = 0 for b.
-4, -1, 0
Factor -50*o - 2*o - 8*o**2 + 88 + 12*o**2.
4*(o - 11)*(o - 2)
Let b(x) be the second derivative of x**7/70 + 6*x**6/25 + 141*x**5/100 + 13*x**4/5 - 24*x**3/5 - 96*x**2/5 - 10*x + 6. Factor b(z).
3*(z - 1)*(z + 1)*(z + 4)**3/5
Let h(t) be the first derivative of t**3/7 + 282*t**2/7 + 26508*t/7 + 367. Let h(f) = 0. Calculate f.
-94
Let r(f) be the third derivative of f**7/1050 - f**6/900 - f**5/60 - f**4/30 - 2*f**3 - 14*f**2. Let u(g) be the first derivative of r(g). Solve u(o) = 0 for o.
-1, -1/2, 2
Let j(t) be the first derivative of -t**7/280 - t**6/120 + t**5/20 + 14*t**3/3 + 2. Let f(x) be the third derivative of j(x). Find h such that f(h) = 0.
-2, 0, 1
Solve -90 - 8/5*z**2 + 31*z - 1/5*z**3 = 0 for z.
-18, 5
Let h = -314 + 320. Let b be (h/(-24))/(4/(-168)). Find a such that b*a**2 + 3/2 + 3/2*a**4 - 27/4*a**3 - 27/4*a = 0.
1/2, 1, 2
Suppose 3*c + c = 20. Determine k, given that 16*k**4 - 2*k**3 + 5*k**3 + c*k**3 - 7*k**2 + k = 0.
-1, 0, 1/4
Let c be 6/8 - 27/(-12). Solve -6*i + 2*i**4 - 13*i + 22*i**2 - 16*i**4 + 26*i**3 - 8 - 10*i**5 + c*i = 0.
-2, -1, -2/5, 1
Let s(l) be the third derivative of l**8/588 - 16*l**7/735 - l**6/14 + 10*l**5/21 + 22*l**4/21 - 48*l**3/7 - l**2 + 24. Let s(h) = 0. What is h?
-2, 1, 2, 9
Suppose -d - 21 = -8*d. Let u(c) = -c**3 - 2*c**2 + c. Let k be u(-3). Factor -9*b - 3*b**2 + 9*b + k*b**d.
3*b**2*(2*b - 1)
Let b(i) be the second derivative of -i**6/10 - 11*i**5/10 - 49*i**4/12 - 19*i**3/3 - 4*i**2 - 6*i - 63. Let b(f) = 0. What is f?
-4, -2, -1, -1/3
Suppose -2*v + s = -77, -2*v = -3*s - 2*s - 97. Determine j so that v*j**3 - 8 + 12 + 22*j**3 + 20*j**4 + 60*j**2 + 26*j = 0.
-1, -1/2, -2/5
Let y(q) be the second derivative of q**7/5040 - q**6/288 + q**5/40 - 3*q**4/4 - 10*q. Let b(u) be the third derivative of y(u). Factor b(k).
(k - 3)*(k - 2)/2
Let j be 8/2*2/4. Let m be ((-39)/(-15))/((-11)/(-5) + -2). Suppose 0 - 11*g - m*g + 8 + 10*g**j = 0. What is g?
2/5, 2
Let j(f) be the first derivative of 0*f + 4/3*f**3 - 14*f**2 - 39. Solve j(u) = 0.
0, 7
Suppose 0 = 2*g - 0*a + 2*a - 20, 5*g - 2*a = 78. Suppose -s - 5*x = -g, 0*s - 4*s + 14 = -x. Factor 1/4*p**s + 13/4*p**2 + 3*p + 1 + 3/2*p**3.
(p + 1)**2*(p + 2)**2/4
Find r, given that -1/2*r**2 + 0 + 3*r = 0.
0, 6
Solve 2/9*m**3 + 8362/3*m - 446/9*m**2 - 2738 = 0 for m.
1, 111
Let b(h) = -8*h**2 - 13*h - 1. Let o(f) = f - 1. Let k(w) = b(w) + 2*o(w). Let l(z) = 4*z**2 + 5*z + 1. Let t(i) = -3*k(i) - 5*l(i). Let t(x) = 0. Calculate x.
-1
Suppose 2 = s - 3. Let t(i) be the third derivative of 1/12*i**4 - 1/60*i**s + 0*i - 1/6*i**3 - 2*i**2 + 0. Solve t(n) = 0 for n.
1
Let y(q) be the first derivative of -2*q**5/9 - 11*q**4/9 - 26*q**3/27 + 28*q**2/9 + 8*q/3 - 61. Determine h so that y(h) = 0.
-3, -2, -2/5, 1
Let d(o) = -21*o**4 - 28*o**3 - 8*o**2 - o + 5. Let i(x) = -28*x**4 + 6 - 28*x**4 - 2*x + 34*x**4 - 28*x**3 - 8*x**2. Let v(j) = 6*d(j) - 5*i(j). Factor v(n).
-4*n*(n + 1)**2*(4*n - 1)
Suppose -1572*g - 3*g**3 + 2624 - 7667 - 294*g - 3423*g - 249*g**2 = 0. Calculate g.
-41, -1
Let y(h) = -h**2 - 5*h + 3. Let s be y(-5). Determine w, given that -4*w**s + 0*w**5 + 23*w - 12*w**4 - 4*w**5 - 15*w + 12*w**2 = 0.
-2, -1, 0, 1
Let w(t) be the second derivative of -t**6/90 + t**4/6 + 4*t**3/9 + t**2/2 + 28*t - 1. Determine o so that w(o) = 0.
-1, 3
Let a(l) = 12*l**2 + 14*l + 2. Let d(m) = 11*m**2 + 19*m + 3. Let z(v) = 6*a(v) - 4*d(v). Solve z(s) = 0 for s.
-2/7, 0
Solve 22*b**4 + 1977*b**2 + 320*b**3 - 