se 100/3 + 80/3*p - 19/3*p**j + 1/3*p**3 = 0. Calculate p.
-1, 10
Let x be 10/(-12) - (-1271)/1230. What is v in x*v**2 + 7/5*v + 0 = 0?
-7, 0
Let z be 2/(-23) - (-6319)/2047. Solve 0 + b**z - 1/2*b**4 - 1/2*b**2 + 0*b = 0 for b.
0, 1
Suppose -l = -4*w + 10 + 3, 3*w = l + 12. Let r be 7 + (-7)/((-21)/l). Suppose 0*v**2 + 1/4*v**5 + 1/4*v + 0*v**r + 0 - 1/2*v**3 = 0. Calculate v.
-1, 0, 1
Let i(c) be the first derivative of c**3/12 + 5*c**2/4 + 62. Determine n so that i(n) = 0.
-10, 0
Let t(w) be the first derivative of -w**7/420 + w**6/180 + w**5/12 + w**4/4 - 19*w**3/3 - 24. Let c(z) be the third derivative of t(z). Factor c(l).
-2*(l - 3)*(l + 1)**2
Let s(z) be the first derivative of -z**4/4 - 5*z**3/3 + 7*z**2/2 + 8*z + 5. Let f be s(-6). Find a such that 0*a**f - 4 + 6*a + 0*a**2 - 22*a**3 + 20*a**3 = 0.
-2, 1
Let q(d) = -15*d**3 - 3*d**2 - 3*d + 47. Let a(r) = -7*r**3 - r**2 - 2*r + 22. Let y(w) = -13*a(w) + 6*q(w). Factor y(s).
(s - 2)**2*(s - 1)
Let b(g) be the first derivative of g**4 + 20*g**3/3 - 16*g**2 - 48*g - 135. Factor b(v).
4*(v - 2)*(v + 1)*(v + 6)
Solve 4/5*f**3 + 0 - 4/5*f**2 - 4/5*f + 4/5*f**4 = 0.
-1, 0, 1
Let s be 51/30 + 0 - 252/210. Factor s*f**2 - 4*f + 8.
(f - 4)**2/2
Suppose -7*u + 84 = -3*u. Let q = u - 17. Factor v**4 - 5*v**2 - v**2 + 9 - v + q*v**2 + 2*v**3 - v**5 - 8.
-(v - 1)**3*(v + 1)**2
Let x be 30/(-14)*(476/(-18))/17. Factor 5/3*i - 5/3*i**2 + x.
-5*(i - 2)*(i + 1)/3
Let k = 250 + -250. Let p(s) be the third derivative of 0*s**4 - 1/60*s**6 + 0*s**3 + 0 - 1/10*s**5 + s**2 + k*s. Factor p(i).
-2*i**2*(i + 3)
Suppose -6*m - 276 = -12*m. Let j = m - 181/4. Factor -j*u - u**2 + 0 - 1/4*u**3.
-u*(u + 1)*(u + 3)/4
Let a be -5 + (-15)/480*8*43/(-2). What is b in -1/2*b + 0 - 1/2*b**4 + 1/2*b**2 + 1/8*b**5 + a*b**3 = 0?
-1, 0, 1, 2
Let z = -82468/15 + 5498. Factor 16/15*s + 2/3*s**2 + 8/15 + z*s**3.
2*(s + 1)*(s + 2)**2/15
Let f(a) be the first derivative of -2 + 3/4*a**4 + 0*a + a**3 - 3*a**2. Factor f(m).
3*m*(m - 1)*(m + 2)
Let z(k) be the first derivative of 2*k**6/27 - k**4/3 + 8*k**3/27 - 85. Suppose z(r) = 0. Calculate r.
-2, 0, 1
Suppose 5/2*c**3 + 0 + 7/2*c + 13/2*c**2 - 1/2*c**4 = 0. Calculate c.
-1, 0, 7
Let z be (0 + -8)/(-2 - 0). Let r(c) be the second derivative of 2/27*c**3 + 0 + 0*c**2 + 1/54*c**z - 3*c. Let r(n) = 0. Calculate n.
-2, 0
Let c(s) be the first derivative of s**4/12 + 49*s**3/9 - 101*s**2/6 + 17*s + 177. Suppose c(z) = 0. Calculate z.
-51, 1
Let p(m) be the second derivative of m - 2*m**3 - 2/3*m**4 + 0 - 6*m**2. Let y(d) = d**2 + 1. Let u(x) = -p(x) - 12*y(x). Factor u(n).
-4*n*(n - 3)
Let h(r) be the first derivative of -4*r**3/3 + 48*r**2 - 181. Factor h(b).
-4*b*(b - 24)
Let s(c) be the first derivative of -c**3/2 + 63*c**2/4 - 30*c - 68. Suppose s(d) = 0. What is d?
1, 20
Let y(z) = -5*z**5 - 25*z**4 - 42*z**3 - 15*z**2 + 7*z + 7. Let d(l) = -2*l**5 - 12*l**4 - 21*l**3 - 8*l**2 + 3*l + 3. Let u(q) = 7*d(q) - 3*y(q). Factor u(a).
a**2*(a - 11)*(a + 1)**2
Let x(t) be the third derivative of 1/630*t**7 + 1/180*t**6 + 0*t**4 + 0*t**3 + 0 + 0*t - 6*t**2 + 0*t**5. Factor x(q).
q**3*(q + 2)/3
Let s(i) be the second derivative of i**4/114 + i**3/3 + 199*i. Factor s(y).
2*y*(y + 19)/19
Let r = 85 + -83. Factor 2*q**3 - q + 5 - q - 1 - q**2 - 3*q**r.
2*(q - 2)*(q - 1)*(q + 1)
Factor -242/3 + 44/3*y - 2/3*y**2.
-2*(y - 11)**2/3
Let g(j) = j - 1. Let h(y) = y**2 - 6*y + 5. Let u(k) = 5*g(k) + h(k). Let n(m) = -4*m**2 + 2*m + 2. Let v(b) = n(b) + 5*u(b). Factor v(o).
(o - 2)*(o - 1)
Let u(i) be the second derivative of 3*i**5/20 + i**4/4 - 2*i**3 - 6*i**2 - 181*i. Factor u(k).
3*(k - 2)*(k + 1)*(k + 2)
Suppose 9/4 - 1/4*o**3 + 1/4*o - 9/4*o**2 = 0. What is o?
-9, -1, 1
Let f be 4/(-2)*-1 - -1. Let m(c) be the first derivative of -2*c**2 + 2*c + c**4 + 0*c**f + 2 - 2/5*c**5. Factor m(w).
-2*(w - 1)**3*(w + 1)
Factor -3/2*n**5 + 6*n - 15*n**2 - 3/2*n**3 + 12 + 6*n**4.
-3*(n - 2)**3*(n + 1)**2/2
Determine n so that 8 + 106 + 95*n + 5*n**2 - 40*n + 26 = 0.
-7, -4
Let q(s) be the first derivative of -1/2*s**3 - 9/4*s**4 - 9*s + 8 + 0*s**2 - 9/4*s**5 + 5/2*s**6. Let v(d) be the first derivative of q(d). Factor v(p).
3*p*(p - 1)*(5*p + 1)**2
Let z(m) = m**3 - 7*m**2 + 2. Let d be z(7). Suppose 4*h = -d*r + 10, 4 - 6 = -2*r. Let 0*n**2 - n**3 + 2*n - 2*n - h*n**2 = 0. Calculate n.
-2, 0
Let k(o) be the third derivative of o**8/1176 - o**7/420 + o**6/630 - 5*o**3/2 + 22*o**2. Let y(s) be the first derivative of k(s). Factor y(n).
2*n**2*(n - 1)*(5*n - 2)/7
Factor 4/7*r + 12/7 - 3/7*r**2 - 1/7*r**3.
-(r - 2)*(r + 2)*(r + 3)/7
Let k(w) be the second derivative of 0 - 1/4*w**2 - 1/6*w**3 + 4*w - 1/24*w**4. Factor k(q).
-(q + 1)**2/2
Let u(b) be the third derivative of 0*b**6 + 0*b**3 + 0 + 28*b**2 - 1/120*b**5 + 1/420*b**7 + 0*b + 0*b**4. Find x, given that u(x) = 0.
-1, 0, 1
Let t(h) be the first derivative of -10*h**6/3 + 29*h**5 - 195*h**4/4 - 280*h**3/3 + 40*h**2 - 130. Solve t(y) = 0 for y.
-1, 0, 1/4, 4
Factor -5/2*b**2 + 7*b - 4.
-(b - 2)*(5*b - 4)/2
Let j(c) be the second derivative of -11*c**6/120 - 9*c**5/40 + c**4/4 + 2*c**3 - 19*c. Let t(w) be the second derivative of j(w). Factor t(h).
-3*(h + 1)*(11*h - 2)
Let v(i) = i**2 + i. Let z be v(1). Suppose -w - 6 = 2*o, o + z = -4*w - 1. Suppose -8/9*c + 2/3*c**3 - 2/9*c**4 + w*c**2 + 0 = 0. What is c?
-1, 0, 2
Let 8*v**2 - 2/3*v**4 + 76/3*v + 14 - 4*v**3 = 0. What is v?
-7, -1, 3
Suppose 86*y = 81*y. Let q(d) be the second derivative of 3*d + 0*d**3 + 0 + y*d**2 + 2/5*d**5 - 1/3*d**6 - 1/6*d**4 + 2/21*d**7. Factor q(i).
2*i**2*(i - 1)**2*(2*i - 1)
Let i(q) = -q**2 - 29*q - 50. Let w be i(-27). Suppose 0*f = -w*h + f, 0 = -5*f. Factor -2/7*j**3 - 2/7*j**4 + h + 2/7*j**5 + 0*j + 2/7*j**2.
2*j**2*(j - 1)**2*(j + 1)/7
Let y(b) be the first derivative of 23 - 5 + 0 + 15*b**2 - 6*b**2 - b**3 + 21*b. Factor y(h).
-3*(h - 7)*(h + 1)
Factor 25/8 - 9/8*h**2 + 1/8*h**3 + 15/8*h.
(h - 5)**2*(h + 1)/8
Let b(x) = 27*x - 89 - 1 - 45*x + 24*x. Let j be b(15). Find s such that j - 2*s**3 + 8/3*s + 32/3*s**2 + 8/3*s**5 - 22/3*s**4 = 0.
-1, -1/4, 0, 2
Let k(l) = -l**3 + 5*l**2 + 4*l + 5. Let i be k(5). Let i + 10*q**2 - 20*q - 10 - 5*q**2 = 0. Calculate q.
1, 3
Let t(f) = -f**2 - 1012*f + 2. Let i be t(0). Let -15/4 - 5/4*v + 5/4*v**3 + 15/4*v**i = 0. What is v?
-3, -1, 1
Let v(c) = 9*c**4 - 6*c**3 - 6*c**2 - 9. Let x = -93 - -87. Let l(r) = -r**4 + r**2 + r + 1. Let k(h) = x*l(h) - v(h). Let k(q) = 0. What is q?
-1, 1
Let g(s) be the third derivative of -2*s**7/105 + 56*s**6/15 - 1406*s**5/5 + 27380*s**4/3 - 101306*s**3/3 - 3*s**2 - 43*s. Factor g(q).
-4*(q - 37)**3*(q - 1)
Let f(d) = -d**2 - 2*d + 37. Let b be f(-7). Suppose 22*v**3 + 122*v - 47*v + 28*v**3 - 165*v**b + 125*v - 5*v**4 - 80 = 0. What is v?
1, 4
Let b be 2/(2/24 + 0). Solve 25 - 14 + 4*v**2 + 25 - b*v = 0.
3
Let h(m) be the second derivative of m**6/25 + 19*m**5/50 + 7*m**4/5 + 12*m**3/5 + 8*m**2/5 - 25*m - 1. Suppose h(q) = 0. Calculate q.
-2, -1/3
Let p(h) be the first derivative of 2/11*h + 11 + 0*h**3 - 2/55*h**5 - 1/11*h**4 + 2/11*h**2. Let p(t) = 0. Calculate t.
-1, 1
Let y(d) = d**2 + 17*d - 16. Let f be y(-18). Let o = 6 - 3. Factor 3*g**2 - 5*g**2 + o*g**f.
g**2
Let g(x) be the first derivative of -x**4/20 - 3*x**3/5 - 3*x**2/5 + 16*x/5 - 40. Suppose g(w) = 0. What is w?
-8, -2, 1
Factor 80/7*p**2 - 72/7*p**3 + 0 + 12/7*p**4 + 2/7*p**5 + 0*p.
2*p**2*(p - 2)**2*(p + 10)/7
Suppose 775*y - 32 = 767*y. Solve 24/5 - 168/5*u**y - 498/5*u**3 - 306/5*u**2 + 48/5*u = 0 for u.
-2, -1, -1/4, 2/7
Let t(m) be the first derivative of -37*m**3 - 6*m - 63/5*m**5 + 123/4*m**4 + 45/2*m**2 + 2*m**6 - 26. Factor t(b).
3*(b - 2)*(b - 1)**3*(4*b - 1)
Let r(v) = v**3 - 4 + 10*v + 6*v - 20*v + 3*v**2. Let c be r(-3). Solve -28*d - 4 + 8*d**2 + 30*d + 10*d**3 + c*d**2 = 0 for d.
-1, 2/5
Let m(t) be the third derivative of 5/6*t**3 + 5/8*t**4 + 0*t - 10*t**2 + 0 + 1/4*t**5 + 1/24*t**6. Suppose m(k) = 0. Calculate k.
-1
Suppose 4*o = -5*j + 2*o + 17, 13 = 4*j + o. Let q be (11 - 13)/((-2)/j). Let 5*x**3 + 0*x**5 + x**4 - 3*x**3 - q*x**2 + x**2 + 1 - x - x**5 = 0. Calculate x.
-1, 1
Solve 420 - 30*h**2 + 265*h + 167 - 287 - 10*h**2 - 5*h**3 = 0 for h.
-12, -1, 5
Let j = -625 + 627. Solve -4/5*r**3 - 2/5*r**4 -