2/4
Let t(i) be the first derivative of -5*i**3/12 - 35*i**2/8 - 15*i/2 - 32. Let t(n) = 0. What is n?
-6, -1
Let b(p) = 10*p**2 + 5*p - 5. Let d(y) = -y**3 - y + 1. Suppose 2*s + 19 = -3*x, 5*x = 4*x - 2*s - 9. Let c(v) = x*d(v) - b(v). Factor c(o).
5*o**2*(o - 2)
Let h(n) = -n**2 - n + 1. Let y(c) = -4*c**3 + 13 + 2*c**3 - 4*c - c + 4*c**3 - 11*c**2. Let u be (0 + 5)/(7/7). Let r(q) = u*h(q) - y(q). Solve r(j) = 0 for j.
-1, 2
Let k(w) = 4*w**3 - 522*w**2 + 68640*w + 69163. Let s(p) = 11*p**3 - 1567*p**2 + 205921*p + 207491. Let b(n) = 8*k(n) - 3*s(n). Solve b(z) = 0 for z.
-1, 263
Let n be (-186)/(-2) - (2 + -4). Let t be ((-6)/10)/((-19)/n). Factor -155 - 16*g + 24*g**2 + 2*g**4 - 12*g**t + 155.
2*g*(g - 2)**3
Let q(i) be the third derivative of i**8/33600 + i**7/12600 - 13*i**4/24 - 12*i**2. Let u(n) be the second derivative of q(n). Factor u(h).
h**2*(h + 1)/5
Let o(s) = s**2 + 18*s + 37. Let b be o(-16). Let d(l) be the second derivative of 0*l**2 - 9/14*l**3 + b*l - 3/140*l**5 + 3/14*l**4 + 0. Factor d(r).
-3*r*(r - 3)**2/7
Let f(h) be the first derivative of 13/70*h**5 - 2/7*h**2 + 2/21*h**3 + 9/28*h**4 + 1/30*h**6 - 8 - 2*h. Let l(g) be the first derivative of f(g). Factor l(p).
(p + 1)**2*(p + 2)*(7*p - 2)/7
Let n(t) be the third derivative of -t**6/60 - 149*t**2. Solve n(j) = 0 for j.
0
Let l(t) be the third derivative of t**7/315 - t**6/60 - t**5/18 + t**4/12 + 4*t**3/9 - 314*t**2. Find b, given that l(b) = 0.
-1, 1, 4
Suppose 0*i - i + 8 = 0. Let o be (36/i)/9*(-4)/(-3). Suppose -2/3*v + o*v**5 - 4/3*v**4 + 0 + 4/3*v**2 + 0*v**3 = 0. What is v?
-1, 0, 1
Let s be (-66)/(-132) + 1/(-2). Factor 1/3*m**5 + 0*m + 2/3*m**4 + 0*m**2 + 1/3*m**3 + s.
m**3*(m + 1)**2/3
Factor 0*i - 5/3*i**3 - 2*i**2 + 2/3*i**4 + 0 + 1/3*i**5.
i**2*(i - 2)*(i + 1)*(i + 3)/3
Let c(g) be the first derivative of -g**4/6 + 2*g**3/3 - 2*g**2/3 - 37. Let c(o) = 0. What is o?
0, 1, 2
Suppose 440*s - 289 = 1471. Factor s - 2/3*c**2 + 2/3*c.
-2*(c - 3)*(c + 2)/3
Let a = -21082 + 21087. Suppose 4/3*x**4 + 8/3*x**3 + 0 - 2/3*x**a - 16/3*x**2 + 0*x = 0. What is x?
-2, 0, 2
Let z(k) = k**3 - 13*k**2 + 16. Let w be z(13). Factor -11*m**2 + w - 11*m**2 + 18*m**2.
-4*(m - 2)*(m + 2)
Let m(x) be the first derivative of -2*x**5/5 + 8*x**4 + 4*x**3/3 - 528*x**2 - 2178*x + 31. Solve m(l) = 0.
-3, 11
Let k(i) be the second derivative of 7*i**7/57 - 42*i**6/95 - 87*i**5/190 + 2*i**4/3 - 4*i**3/19 + 81*i. Let k(w) = 0. Calculate w.
-1, 0, 2/7, 3
Suppose -8 = x - 2*x. Factor -x*m**2 - 70*m**5 + m - 6*m**3 + 71*m**5 - 3*m - m.
m*(m - 3)*(m + 1)**3
Solve -14/13*n**3 + 16/13 + 2/13*n**4 + 36/13*n**2 - 40/13*n = 0 for n.
1, 2
Let h(w) be the second derivative of w**3 + 21/40*w**5 - 2*w**4 + 0*w**2 - 10*w + 0. Factor h(a).
3*a*(a - 2)*(7*a - 2)/2
Suppose -4*m = -0*h + 4*h + 188, 0 = 4*m - 5*h + 233. Let r = -50 - m. Determine u so that -r*u + 1/2*u**2 + 3/2 = 0.
1, 3
Factor -30*r**2 - r**3 - 3 - 33 - 76*r - 20 + r**4.
(r - 7)*(r + 2)**3
Factor 8612 + 1091 + 5*l**2 + 3302 - 510*l.
5*(l - 51)**2
Let l = -618 - -618. Let w(s) be the third derivative of 0*s**5 + 0*s - 1/60*s**6 + 0*s**3 + 3*s**2 + 1/12*s**4 + l. Factor w(h).
-2*h*(h - 1)*(h + 1)
Let g(o) be the second derivative of -o**4/14 + 8*o**3/7 - 45*o**2/7 - 529*o. What is b in g(b) = 0?
3, 5
Let m(a) be the second derivative of a**6/120 - a**5/80 - a**4/24 - 186*a. Factor m(r).
r**2*(r - 2)*(r + 1)/4
Determine y, given that -15*y**4 - y**3 - 182*y**2 - 3*y**5 + 197*y**2 + 4*y**3 + 0*y**3 = 0.
-5, -1, 0, 1
Let -2/21*t**4 + 4/21*t**2 - 8/21*t**3 + 8/7*t - 6/7 = 0. What is t?
-3, 1
Let i = -2/37 - -88/259. Factor -2/7*u**4 - 8/7*u**3 - 8/7*u - 12/7*u**2 - i.
-2*(u + 1)**4/7
Let m(w) be the third derivative of w**6/1980 + w**5/220 + 2*w**3/3 + 13*w**2. Let z(x) be the first derivative of m(x). Factor z(j).
2*j*(j + 3)/11
Suppose 3*k + 4*h = -15, 4*h = -413*k + 412*k - 21. Find t such that 2/3 + 1/2*t**2 + 1/12*t**k + t = 0.
-2
Let -34/3*v**2 + 0 - 104/3*v - 2/3*v**3 = 0. What is v?
-13, -4, 0
Let g(h) be the first derivative of h**5/30 + h**4/9 - 23*h + 22. Let n(b) be the first derivative of g(b). What is m in n(m) = 0?
-2, 0
Let l = 6/737 - -707/3685. Factor -2/5*o**3 + 0*o**4 + l*o**5 + 0*o**2 + 0 + 1/5*o.
o*(o - 1)**2*(o + 1)**2/5
Let y(p) be the second derivative of 4*p + 2/27*p**3 + 1/54*p**4 + 0 - 1/3*p**2. Factor y(q).
2*(q - 1)*(q + 3)/9
Let y(a) be the second derivative of -a**6/40 + a**5/5 - 3*a**4/8 - a**2 + 25*a. Let r(f) be the first derivative of y(f). Factor r(d).
-3*d*(d - 3)*(d - 1)
Let b(k) be the third derivative of 24*k**2 - 1/150*k**6 + 0*k + 0*k**3 + 0*k**5 + 0 - 1/525*k**7 + 0*k**4. Let b(o) = 0. What is o?
-2, 0
Let k be 2/(-8)*2880/(-156). Let y = k + -154/39. Suppose y*i**2 + 2/9*i + 2/9*i**4 + 2/3*i**3 + 0 = 0. Calculate i.
-1, 0
Let k(i) be the third derivative of i**8/1680 - i**7/420 - i**6/360 + i**5/60 + i**3/3 - 13*i**2. Let r(p) be the first derivative of k(p). Factor r(b).
b*(b - 2)*(b - 1)*(b + 1)
Factor -2 + 3*y**2 + 38*y - 50*y - 4*y**5 + 5*y**2 - 10 + 16*y**3 + 4.
-4*(y - 2)*(y - 1)*(y + 1)**3
Factor 1/7*l**3 - 1/7*l + 2/7 - 2/7*l**2.
(l - 2)*(l - 1)*(l + 1)/7
Let q be (0 - 5)/(300/(-40)). Factor -q*r + 2/3*r**2 - 4/3.
2*(r - 2)*(r + 1)/3
Let l(k) = -22*k**2 - 48. Let c(h) = -2*h**2 - 4. Let q(i) = 68*c(i) - 6*l(i). Solve q(n) = 0 for n.
-2, 2
Let r(c) be the third derivative of c**8/2016 - c**7/126 + 17*c**6/360 - c**5/10 - 3*c**4/16 + 3*c**3/2 - 30*c**2. Factor r(g).
(g - 3)**3*(g - 2)*(g + 1)/6
Suppose 7*o + 2*o - 27 = 0. Factor 7*i**2 - 4 - o*i - 6*i**2 + 6.
(i - 2)*(i - 1)
Suppose -5*o - 11 = -21. Let c be (-13 - -7)/(2/(-1)). Factor 1/3 - m - 1/3*m**c + m**o.
-(m - 1)**3/3
Let n(c) = 6*c**4 + 2*c**3 - 20*c**2 + 22*c - 8. Let d(l) = -14*l**4 - 4*l**3 + 41*l**2 - 44*l + 16. Let g(f) = 2*d(f) + 5*n(f). Solve g(a) = 0 for a.
-4, 1
Suppose 2*a = 3*a - 3. Factor -m + 2*m - 2 - 2 + 3*m**2 - m**a - m**4 + 2.
-(m - 1)**2*(m + 1)*(m + 2)
Let 247 - 124 - 5*v**2 - 123 + 85*v = 0. Calculate v.
0, 17
Let z(u) = -178*u + 892. Let d be z(5). Let 2/7*b + 3/7 - 1/7*b**d = 0. What is b?
-1, 3
Suppose -16*u = -235 + 171. Let v(f) be the second derivative of 0*f**2 + 2/135*f**6 + 2/27*f**u + 0 - 1/18*f**5 - f - 1/27*f**3. Let v(z) = 0. Calculate z.
0, 1/2, 1
Let m(g) be the second derivative of -g**5/5 + 6*g**3 + 314*g. Factor m(a).
-4*a*(a - 3)*(a + 3)
Let q(u) be the third derivative of -u**5/90 - u**4 + 13*u**3 - 875*u**2. Factor q(o).
-2*(o - 3)*(o + 39)/3
Suppose 15 = 4*f - 13. Suppose -3*q - 4 = -f*q. What is c in -16*c**2 + 3 - 2*c - 4*c**4 - q + 0 - c - 15*c**3 = 0?
-2, -1, 1/4
Let i be (-6 - -7) + -5 + 7. Let p(a) be the first derivative of -3/8*a**4 + 0*a + 7 - 1/4*a**2 + 1/2*a**i + 1/10*a**5. Find h such that p(h) = 0.
0, 1
Let q(m) = -m**2 - m - 1. Let b(p) = -4*p - 2. Let t(n) = -b(n) + 2*q(n). Factor t(f).
-2*f*(f - 1)
Let o(c) be the first derivative of c**5/15 - c**4/12 - 7*c**3/3 + 41*c**2/6 - 20*c/3 - 241. Factor o(p).
(p - 4)*(p - 1)**2*(p + 5)/3
Let d(h) be the second derivative of 0 + 0*h**3 - 6*h - 1/80*h**5 - 1/48*h**4 + 0*h**2. Solve d(f) = 0 for f.
-1, 0
Let a = -23/2 + 177/14. Let r = -317/7 + 341/7. Solve 16/7*h**3 - r*h - 6/7*h**4 + 6/7*h**2 - a = 0.
-1, -1/3, 2
Let n(p) be the third derivative of -p**8/576 + p**7/63 - p**6/36 - 5*p**5/12 + 25*p**2. Let u(d) be the third derivative of n(d). Factor u(s).
-5*(s - 2)*(7*s - 2)
Suppose 2 = -3*i - 2*u, 0 = 11*i - 4*u - 47 + 43. Factor -5/2*x**2 + i*x - 5/2*x**5 + 5/2*x**3 + 0 + 5/2*x**4.
-5*x**2*(x - 1)**2*(x + 1)/2
Let w(b) be the first derivative of 5*b**6/6 - 4*b**5 + 5*b**4/4 + 70*b**3/3 - 50*b**2 + 40*b + 671. Solve w(r) = 0.
-2, 1, 2
Let t(c) = c + 1. Let u(z) = -6*z + 8. Let a(w) = -2*t(w) - u(w). Let g be a(7). Factor -16*k + g*k - 6*k**2 + 2*k**3 + 2*k**2.
2*k*(k - 1)**2
Let c(p) be the first derivative of -2*p**5/5 - 13*p**4 - 146*p**3/3 + 1248*p**2 - 4608*p + 893. Factor c(b).
-2*(b - 3)**2*(b + 16)**2
Let x(c) be the second derivative of 3/20*c**5 - 2/3*c**3 + 1/42*c**7 + 5*c + 0 - 1/3*c**4 + 0*c**2 + 2/15*c**6. Factor x(n).
n*(n - 1)*(n + 1)*(n + 2)**2
Suppose -21*n = -17*n - 28. Suppose -k + n*k = 0. Factor 0 + k*d**2 + 1/2*d**3 + 0*d.
d**3/2
Suppose 0 = -3*p - 6, 3*b - p + 8 - 10 = 0. Let t(i) be the first derivative of