5*c - 9 = -b, -5*b = -0*b - 2*c - 18. Let h(j) be the first derivative of -1/8*j**b + 1/2*j - 3 - 1/6*j**3 + 1/4*j**2. Let h(m) = 0. Calculate m.
-1, 1
Factor 2*u**2 + u**2 - 28 - 6*u + 14 + 17.
3*(u - 1)**2
Let c(d) be the first derivative of -d**4/28 - d**3/3 - 4*d**2/7 + 16*d/7 - 11. Solve c(f) = 0.
-4, 1
Let k(d) be the third derivative of -d**8/10080 + d**7/840 - d**6/180 - d**5/10 - 6*d**2. Let p(c) be the third derivative of k(c). Factor p(w).
-2*(w - 2)*(w - 1)
Suppose -8*i**2 + 3*i**3 + 5*i**4 - 4*i**3 - 3*i**3 + 3*i**4 + 6*i - 2*i**5 = 0. Calculate i.
-1, 0, 1, 3
Suppose -3*r = -8*r - 70. Let v be 4/r - (-88)/14. Factor -32/7*i**2 + 0 - 18/7*i**4 + v*i**3 + 8/7*i.
-2*i*(i - 1)*(3*i - 2)**2/7
Let w(r) be the second derivative of r**4/42 + 2*r**3/21 - 3*r**2/7 - 4*r. Let w(c) = 0. Calculate c.
-3, 1
Let b(u) be the second derivative of -u**4/60 - u**3/15 - u**2/10 + 11*u. Suppose b(q) = 0. Calculate q.
-1
Let o(u) be the first derivative of u**7/189 - 2*u**6/135 + u**4/27 - u**3/27 - 3*u + 9. Let c(g) be the first derivative of o(g). Factor c(a).
2*a*(a - 1)**3*(a + 1)/9
Let l(n) be the third derivative of n**8/4200 - n**6/250 + 4*n**5/375 - n**4/100 - 10*n**2. Suppose l(h) = 0. What is h?
-3, 0, 1
Let p(y) be the first derivative of -y**7/70 + 3*y**6/40 - y**5/10 + 2*y**2 + 5. Let q(h) be the second derivative of p(h). Let q(m) = 0. What is m?
0, 1, 2
Suppose -61*o + 259 = 76. Let 2/9*p**2 + 2/9*p**5 + 0 + 0*p - 2/9*p**o - 2/9*p**4 = 0. What is p?
-1, 0, 1
Find w, given that 32*w**2 - 19*w**2 + 3*w**3 - 3*w - 13*w**2 = 0.
-1, 0, 1
Suppose 2*i + 92 = -2*i. Let d = 28 + i. What is y in 158/3*y**3 - 80/3*y**4 - 116/3*y**2 + 16/3 + 14/3*y**d + 8/3*y = 0?
-2/7, 1, 2
Factor 0 - 3*k + 3/2*k**2.
3*k*(k - 2)/2
Let t be (-1)/7 + 23/161. Factor -2/7*x**5 - 6/7*x**3 - 6/7*x**4 - 2/7*x**2 + 0*x + t.
-2*x**2*(x + 1)**3/7
Let z be ((3 + -3)/7)/(2/(-1)). Let r(m) be the first derivative of 0*m**2 - 3 + z*m - 1/6*m**3. Factor r(a).
-a**2/2
Factor 67*v + 37*v + 198*v**4 + 4*v + 396*v**2 + 27*v**5 + 471*v**3.
3*v*(v + 3)**2*(3*v + 2)**2
Let k(g) be the second derivative of 4*g**2 + 4/5*g**5 + 0 - 8/15*g**6 - 10/3*g**3 + 2/3*g**4 + 10*g + 2/21*g**7. Factor k(c).
4*(c - 2)*(c - 1)**3*(c + 1)
Let h be 1/1 + (-195)/208. Let r(v) be the third derivative of -1/12*v**3 + 2*v**2 + 0 + 1/240*v**6 - 1/40*v**5 + h*v**4 + 0*v. Factor r(f).
(f - 1)**3/2
Let g(i) be the first derivative of i**6/15 - 3*i**5/5 + 13*i**4/6 - 4*i**3 + 4*i**2 + 3*i - 2. Let f(l) be the first derivative of g(l). What is m in f(m) = 0?
1, 2
Let r(z) be the first derivative of -z**6/21 + 2*z**5/7 - 9*z**4/14 + 2*z**3/3 - 2*z**2/7 - 48. Find k such that r(k) = 0.
0, 1, 2
Factor 0 + 2/7*r**3 - 2/7*r**2 - 4/7*r.
2*r*(r - 2)*(r + 1)/7
Determine d, given that 10/3*d**2 + 7/9*d**3 - 3*d - 10/9 = 0.
-5, -2/7, 1
What is d in -16*d**3 + 5*d**4 - d**4 + 10*d**2 + 9*d**2 - 3*d**2 = 0?
0, 2
Let h(x) be the first derivative of x**9/3024 + x**8/560 + x**7/280 + x**6/360 - x**3/3 + 4. Let b(y) be the third derivative of h(y). Factor b(m).
m**2*(m + 1)**3
Let p(o) be the first derivative of o**4/7 - 2*o**2/7 - 14. Factor p(m).
4*m*(m - 1)*(m + 1)/7
Let j(f) = -f**3 - f**2 + 2*f + 1. Let t(m) = 10*m**3 + 9*m**2 - 25*m - 15. Let z(r) = 18*j(r) + 2*t(r). Solve z(l) = 0 for l.
-2, -1, 3
Let z = -3 + 3. Suppose -p + z + 2 = 0. Suppose -2*b - 4/5 + 14/5*b**p = 0. What is b?
-2/7, 1
Suppose -f = -0*f. Let l = f + 2. Suppose -5*q**5 + 2*q**5 + l*q - 4*q**4 + q**5 + 4*q**2 = 0. What is q?
-1, 0, 1
What is t in 24/7 - 51/7*t**2 - 102/7*t**3 + 27/7*t**4 + 90/7*t + 12/7*t**5 = 0?
-4, -1, -1/4, 1, 2
Suppose -5*q + 29 = 4*z - 0*z, -2*q - 2 = 5*z. Find h such that -23*h**2 - 3*h**3 + 40*h - 2 + q*h**4 - 27*h + 6*h**3 = 0.
-2, 1/3, 1
Let t be 48/27 + 10/45. Factor -2*y + 2*y**3 + 5*y**2 + 4 - 5*y**2 - 4*y**t.
2*(y - 2)*(y - 1)*(y + 1)
Determine j, given that -14/5*j + 2*j**2 + 4/5 = 0.
2/5, 1
Let v(d) be the second derivative of d**5/240 - d**4/24 + d**3/6 - d**2 - 5*d. Let x(y) be the first derivative of v(y). Determine b so that x(b) = 0.
2
Factor -1/3*x**3 + 0 - 1/6*x**4 + 0*x**2 + 0*x.
-x**3*(x + 2)/6
Factor -25*f**3 + 24 - 84 - 117*f + 115*f**2 + 17*f.
-5*(f - 3)*(f - 2)*(5*f + 2)
Suppose -3 = -0*a - a. Suppose 5*j - 15 = -5*b, -4*j - 15 = -2*b - a*b. Factor -2*q**3 - 2*q**b + 1 - 4*q + 0*q**3 + q**4 + 6*q**2.
(q - 1)**4
Let o(l) be the first derivative of 1/120*l**5 + 0*l - 2 + 1/16*l**4 + 1/2*l**2 + 1/6*l**3. Let k(q) be the second derivative of o(q). Solve k(r) = 0.
-2, -1
Let t(a) be the second derivative of 0 - 3/13*a**2 - 1/78*a**4 - 5*a + 4/39*a**3. What is q in t(q) = 0?
1, 3
Let v(d) = 8*d**3 + 4*d**2 + 6*d. Let u(g) = 7*g**3 + 5*g**2 + 6*g. Let t(q) = 5*u(q) - 4*v(q). Determine h so that t(h) = 0.
-2, -1, 0
Factor -2/5*a**3 + 0 + 0*a**2 + 0*a.
-2*a**3/5
Solve -64*z - z**2 + 44*z + 6*z**2 + 20 = 0.
2
Let v(r) be the third derivative of r**7/105 - r**6/60 - 3*r**5/10 - 11*r**4/12 - 4*r**3/3 + 18*r**2. Find l, given that v(l) = 0.
-1, 4
Suppose -18*k - 24*k = 0. Find l such that k*l + 1/2*l**2 - 1/2 = 0.
-1, 1
Let l(b) be the second derivative of -b**5/80 + b**3/8 - b**2/4 - 43*b. Find u, given that l(u) = 0.
-2, 1
Let l = 7 + -5. Find d, given that -2*d**3 - 5*d**2 + 25 - 25 - l*d = 0.
-2, -1/2, 0
Suppose -o - 8 = -5*o. Let a(t) be the third derivative of 0 - 1/12*t**4 + 1/30*t**5 + 0*t**3 + t**o + 0*t. Factor a(i).
2*i*(i - 1)
Let k(s) be the third derivative of -1/42*s**3 + 0*s - 4*s**2 - 1/84*s**4 + 0*s**5 + 1/1470*s**7 + 0 + 1/420*s**6. What is x in k(x) = 0?
-1, 1
Let l = -6 - -10. Suppose -1 = -4*q + 7. Determine h so that -l*h**2 + 4*h**q - 4*h**2 - 6*h**3 = 0.
-2/3, 0
Let z(k) = k**2 - k + 3. Let x(t) = -1. Let n(b) = 4. Let c(p) = n(p) + 3*x(p). Let h(i) = -6*c(i) + 2*z(i). Solve h(l) = 0.
0, 1
Let i(x) be the third derivative of -x**7/350 - x**6/40 - 9*x**5/100 - 7*x**4/40 - x**3/5 + 9*x**2. Factor i(l).
-3*(l + 1)**3*(l + 2)/5
Let d(h) be the second derivative of -h**7/21 + h**6/10 - h**4/12 + 3*h + 1. Find a, given that d(a) = 0.
-1/2, 0, 1
Let c = 1/308 - -351/308. Suppose -v + 4*v - 6 = 0. Find k such that c + 40/7*k + 50/7*k**v = 0.
-2/5
Let n(k) = -k**3 - 6*k**2 + 5*k - 9. Let z be n(-7). Let s(g) be the second derivative of 1/54*g**4 + 0*g**3 + 0*g**2 - 2*g + 0 + 1/90*g**z. Factor s(d).
2*d**2*(d + 1)/9
Factor -1/6 + 0*n + 1/6*n**2.
(n - 1)*(n + 1)/6
Let c(p) be the first derivative of p**7/280 + p**6/120 + 4*p**3/3 + 1. Let g(o) be the third derivative of c(o). Factor g(f).
3*f**2*(f + 1)
Let m(z) be the third derivative of -z**5/60 - z**3/6 - 4*z**2. Let x(w) = 2*w**3 - 16*w**2 + 24*w - 20. Let f(k) = 4*m(k) - x(k). Factor f(v).
-2*(v - 2)**3
Let s(r) = 137*r**4 - 63*r**3 - 75*r**2 + 21*r - 5. Let c(w) = 410*w**4 - 190*w**3 - 226*w**2 + 62*w - 14. Let f(x) = -5*c(x) + 14*s(x). What is b in f(b) = 0?
-2/3, 0, 2/11, 1
Let i(f) be the third derivative of -f**2 + 0*f + 0*f**3 + 1/18*f**4 + 1/360*f**6 + 0 - 1/45*f**5. Factor i(w).
w*(w - 2)**2/3
Let i(n) be the second derivative of n**6/120 + n**5/80 - 2*n. Factor i(w).
w**3*(w + 1)/4
Suppose -o - f = -2*o - 3, 4 = -3*o + 2*f. Suppose -4*a**2 + 0*a**o + 4*a**3 + 2*a**4 + 2*a**2 - 4*a**4 = 0. What is a?
0, 1
Let w(q) = -3*q**5 - 14*q**4 - 14*q**3 - 2*q. Let s(p) = -3*p**5 - 15*p**4 - 15*p**3 - 3*p. Let o(m) = 2*s(m) - 3*w(m). Factor o(c).
3*c**3*(c + 2)**2
Let z be (0/2)/(5/(-5)). Find k, given that -8/5*k**3 + 0*k + z + 2/5*k**2 = 0.
0, 1/4
Suppose 2*f = 67*f - 130. Factor 18/5*l - 27/5 - 3/5*l**f.
-3*(l - 3)**2/5
Let c(x) be the second derivative of x**5/110 - x**4/33 - 18*x. Determine b so that c(b) = 0.
0, 2
Let g be 7/(-56) - 17/(-8). Let d(u) be the second derivative of -2*u**2 + u**3 + 0 - 1/6*u**4 + g*u. Factor d(w).
-2*(w - 2)*(w - 1)
Factor 0 - 3*n**3 + 3*n - 3/2*n**4 + 3/2*n**2.
-3*n*(n - 1)*(n + 1)*(n + 2)/2
Let d be 3/(-5)*(-220)/726. Let r(b) be the second derivative of d*b**2 + 0 + 1/11*b**3 + 1/66*b**4 + 2*b. Factor r(m).
2*(m + 1)*(m + 2)/11
Suppose 0*s + 2*s - 6 = 0. Let a(n) be the first derivative of -1/2*n**4 + 0*n**s + 0*n**5 + 0*n**2 + 1/3*n**6 + 0*n - 2. Factor a(b).
2*b**3*(b - 1)*(b + 1)
Determine p so that -8/5*p**3 - 4/5*p**2 + 6/5 + 8/5*p - 2/5*p**4 = 0.
-3, -1, 1
Let d = -17 - -24. Let t be 7/(-2)*(-4)/d. Factor 