0
Let b(c) = -c - 3. Let i be b(-5). Suppose 0 = j - m + 1 - 4, i*m = 0. Factor -2*n - 4 + 1 - n - j*n**2 - 3*n.
-3*(n + 1)**2
Let o be 3 + -6 - (19002/(-2110))/3. Let m = 1059/2110 - o. Find p, given that m*p**3 - 5/2*p**2 + 4*p - 2 = 0.
1, 2
Let v be 16 - (7 + (-14 + -2)/4). Suppose -3*l + 3 = -2*i, 5*i + 2*l - 34 + v = 0. Let 2/7*r**i - 10/7*r**2 + 16/7*r - 8/7 = 0. Calculate r.
1, 2
Let i(x) be the first derivative of x**3/6 - 2*x + 852. Solve i(c) = 0.
-2, 2
Find q such that -9*q**4 + 3*q**5 - 10*q**4 - 10*q**4 - 10*q**4 + 105*q**3 + 170*q**2 - 23*q**2 = 0.
-1, 0, 7
Let r(z) be the second derivative of z**5/20 + z**4/2 + 2*z**3 - 13*z**2/2 + 2*z. Let k(i) be the first derivative of r(i). Factor k(w).
3*(w + 2)**2
Solve -30*o**3 + 200*o**2 + o + 54*o**5 - o - 52*o**5 - 12*o**4 = 0.
-4, 0, 5
Let m(n) be the third derivative of -n**8/110880 - n**7/27720 - 3*n**5/20 - 18*n**2. Let l(j) be the third derivative of m(j). Suppose l(q) = 0. Calculate q.
-1, 0
Let l = 42 + -47. Let p(f) = f**3 + 3*f**2 + f - 5. Let u(x) = 4*x**2 - 4. Let q(m) = l*u(m) + 4*p(m). Find b, given that q(b) = 0.
0, 1
Suppose -a + 2 = z, -3*z + 7*a + 10 = 6*a. Let v(i) be the first derivative of 2/3*i**z + 8*i - 4 - 4*i**2. Let v(m) = 0. Calculate m.
2
Let r(w) be the third derivative of -w**7/210 + w**6/12 - 13*w**5/60 - 5*w**4/2 - 6*w**3 + 72*w**2 + w. Suppose r(j) = 0. What is j?
-1, 6
Let t = 4181/624480 - 6/1301. Let w(g) be the third derivative of 1/12*g**3 + 0*g**5 - 3*g**2 + 0*g - t*g**6 + 1/32*g**4 + 0. Factor w(p).
-(p - 2)*(p + 1)**2/4
Let b = -10 - -12. Let l be (b + 0 + -1)*3. Factor v**2 + 2*v - 4*v**3 + 2*v**l + v**3 + 0*v**2.
-v*(v - 2)*(v + 1)
Let m = 53 + -49. Factor 0*s + 6*s**3 + 2*s**2 + m*s - 9*s**2 - 3*s**2.
2*s*(s - 1)*(3*s - 2)
What is a in 2*a**4 + 12*a - 18*a**3 + 6*a + 21*a**2 - 8 - 11 + a**4 - 5 = 0?
-1, 1, 2, 4
Let z be (3125/10 - 6)/(-1). Let r = 307 + z. Let -r*c**2 - 1/4*c**3 + 1/4*c + 1/2 = 0. What is c?
-2, -1, 1
Let b(q) = 5*q**3 - 31*q**2 + 25*q - 21. Let l(c) = c**3 - 6*c**2 + 5*c - 4. Let o be (-18)/(3*2/12). Let j = o - -14. Let f(a) = j*l(a) + 4*b(a). Factor f(s).
-2*(s - 2)*(s - 1)**2
Let l(h) = 106*h**2 - 40*h + 10. Let w(a) = -105*a**2 + 40*a - 9. Suppose -15 = -4*b + 5. Let s(g) = b*l(g) + 6*w(g). Find q, given that s(q) = 0.
1/5
Factor -4/7*n**3 - 2/7*n**4 + 2/7*n**2 + 0 + 4/7*n.
-2*n*(n - 1)*(n + 1)*(n + 2)/7
Let v(h) = h**4 + 2*h**3 - 3*h**2 - 5*h - 4. Let o(b) = -2*b**4 - 4*b**3 + 6*b**2 + 9*b + 8. Let z(u) = 3*o(u) + 7*v(u). Determine r so that z(r) = 0.
-2, -1, 2
Let d(x) be the third derivative of x**8/25200 + x**7/1050 + x**6/100 + x**5/10 - 16*x**2. Let p(c) be the third derivative of d(c). Factor p(f).
4*(f + 3)**2/5
Let u = -8 + 10. Suppose -n = 2*j - 15, -u*n - 3*j + 20 = -n. Let -2*p**4 - 2*p**n + 2*p**5 - 4*p**3 + 2*p**5 = 0. Calculate p.
-1, 0, 2
Suppose -5*n + 265 = 45. What is b in 6*b**3 - 2*b**3 + n*b - 48*b = 0?
-1, 0, 1
Factor 2*f**2 - 8/3*f + 2/3.
2*(f - 1)*(3*f - 1)/3
Let g be (3/(-2))/(180/(-240)). Determine a, given that 21/5*a**4 - 21/5*a**g + 6/5*a - 6/5*a**3 + 0 = 0.
-1, 0, 2/7, 1
Let v(t) = 60*t + 5042. Let h be v(-84). Factor 2 - 1/3*z**h - 5/3*z.
-(z - 1)*(z + 6)/3
Suppose -l + 1 = -3*b, l = 4*b + 2*l + 13. Let c be ((-4)/5)/(b/5). Factor -1/2 + g - 1/2*g**c.
-(g - 1)**2/2
Let i = -15897 - -111280/7. Factor 4/7 + i*h**4 + 6/7*h**3 + 12/7*h + 13/7*h**2.
(h + 1)**2*(h + 2)**2/7
Let k(r) be the third derivative of -r**6/360 - r**5/60 + 2*r**3/9 + 16*r**2 - 4*r. Suppose k(n) = 0. Calculate n.
-2, 1
Suppose -3*v + 2*v = 10. Let h = 18 + v. Factor 0 - h*r**2 + 8*r + 0 - 44*r**2.
-4*r*(13*r - 2)
Let a(p) be the second derivative of -p**6/1440 + p**5/96 - p**4/16 - 11*p**3/3 + 22*p. Let n(d) be the second derivative of a(d). Factor n(l).
-(l - 3)*(l - 2)/4
Let w be (-252)/294*28/(-6). Let m(t) be the first derivative of -3 + 1/8*t**2 + 0*t**3 - 1/16*t**w + 0*t. Determine f so that m(f) = 0.
-1, 0, 1
Let i be (9 - (-1340)/(-150))/(1/4). Factor -i*d - 2/15*d**2 + 2/15*d**3 + 0.
2*d*(d - 2)*(d + 1)/15
Let p be -4 + -6*(28/(-12) + 1). Let c(j) be the first derivative of 4/5*j**5 + 0*j + j**2 - 3 + 5/3*j**3 - 11/4*j**p. Solve c(b) = 0.
-1/4, 0, 1, 2
Let f(a) = -a**2 - 7*a - 9. Let s be f(-4). Suppose 3*l**2 - 9*l**s - 6*l**4 - l**5 + 15*l + 0*l**2 - 3*l + l**2 = 0. Calculate l.
-3, -2, 0, 1
Let d(o) be the first derivative of -o**5/20 - 5*o**4/16 - o**3/4 + 9*o**2/8 + 42. Suppose d(n) = 0. What is n?
-3, 0, 1
Factor 44/3*q + 80/3 + 2/3*q**2.
2*(q + 2)*(q + 20)/3
Let a be (-184)/(-624) - (-3)/(-18). Let n(m) be the second derivative of a*m**3 + 0 - 2/39*m**4 - 2/13*m**2 - 9*m + 1/130*m**5. Determine x so that n(x) = 0.
1, 2
Suppose 3*n - 13 = v + 7, -5*v - 20 = 5*n. Let o = v + 10. Determine w so that -26*w - 4*w**2 + 28*w + 2*w**o = 0.
0, 1
Suppose -11*g - 2*o = -12*g + 8, -3*o = g + 7. Let x(t) be the first derivative of 8/3*t**3 - g - 3*t**4 + 6*t**2 - 8*t. Factor x(p).
-4*(p - 1)*(p + 1)*(3*p - 2)
Let z be 3 + -1 + 4 + -3. Factor -9*o**z + 18 - 31*o**2 - 19*o**2 + 20*o**2 - 3*o.
-3*(o + 1)*(o + 3)*(3*o - 2)
Let c(v) be the second derivative of -8/15*v**3 + 3*v - 2*v**2 + 0 + 1/15*v**4. Factor c(j).
4*(j - 5)*(j + 1)/5
Let s be -9 - 72/(-22 + 16). Find b such that -5/4*b**s + 5/4*b - 3/4*b**2 + b**4 - 1/4 = 0.
-1, 1/4, 1
Let h(j) be the second derivative of -j**4/78 + j**3/39 - 106*j. Factor h(m).
-2*m*(m - 1)/13
Let c be ((-10)/45)/(-1) - (-24)/135. Let k(z) be the first derivative of -3 - 6/5*z**3 + 6/5*z**2 - c*z. Factor k(v).
-2*(3*v - 1)**2/5
Let g be 16/9*(-13)/(-52). Factor -g*u**3 - 2/9*u**4 + 2/9 + 0*u**2 + 4/9*u.
-2*(u - 1)*(u + 1)**3/9
Suppose 2*w + 13*w = 6 + 39. What is q in -9/5 - 7/5*q**2 - 1/5*q**3 - w*q = 0?
-3, -1
Let y(h) = -11*h**5 + 29*h**4 - 17*h**3 - 19*h**2 + 19*h - 4. Let o(k) = -k**5 + k**4 - k**3 + k**2 - k. Let n(u) = 3*o(u) - y(u). Solve n(a) = 0.
-1, 1/4, 1, 2
Suppose 9 = 6*t - 9. Suppose 0 = -4*k + 3*k - 3, 15 = t*v + k. Determine q, given that 2*q**4 + 2*q**2 - 1 + 2 + 2*q - v*q**3 + 4*q - 5 = 0.
-1, 1, 2
Let y be 2*-1 + (-18 - 4). Let a be y/(-16) - (-2)/4. Determine c so that -4*c**2 + 15 + a*c**2 - 13 = 0.
-1, 1
Let o(c) be the third derivative of -c**8/560 + c**7/1050 - 2*c**2 + 3*c. Let o(w) = 0. What is w?
0, 1/3
Let v(o) be the third derivative of -o**8/2016 - o**7/126 + o**6/30 - o**5/180 - 23*o**4/144 + o**3/3 - 40*o**2 - 6. Factor v(k).
-(k - 1)**3*(k + 1)*(k + 12)/6
Factor 4/15 - 2/15*i - 2/15*i**2.
-2*(i - 1)*(i + 2)/15
What is w in -72*w**4 + 49*w**2 + 83*w**3 - 31*w**2 - 33*w**5 + 4*w**3 = 0?
-3, -2/11, 0, 1
Let d be (77 - 77)*(-2*1)/4. Suppose -5*h - 8 + 23 = d. Find p such that -3/5*p**4 + 0*p**h + 0 + 0*p + 3/5*p**2 = 0.
-1, 0, 1
Suppose -92 = -15*w + 58. Suppose 89*v + w = 94*v. Determine q, given that -2*q + 4/3 + 2/3*q**3 + 0*q**v = 0.
-2, 1
Let w(b) be the first derivative of 7*b**6/9 - 8*b**5/5 - 67*b**4/6 + 24*b**3 + 12*b**2 + 140. What is y in w(y) = 0?
-3, -2/7, 0, 2, 3
Let v be (-3 - -2)/(3/(-11 - -2)). Solve -96*b**2 + 768*b + 4*b**v + 14*b**3 - 14*b**3 - 2048 = 0.
8
Let k(p) be the third derivative of -p**5/420 - p**4/56 - 325*p**2. Find x such that k(x) = 0.
-3, 0
Let a(k) be the third derivative of -2*k**7/21 - 7*k**6/9 + 31*k**5/24 - 5*k**4/6 - 2*k**3/3 + k**2. Let w(y) be the first derivative of a(y). Factor w(p).
-5*(p + 4)*(4*p - 1)**2
Let p be 136/(-14) + 16/(-56). Let n = -7 - p. Factor -27 + 27*d + 4*d**3 - d**3 - 2*d**n - 9*d**2.
(d - 3)**3
Let f(m) = m**3 - 2*m**2 + 2*m + 1. Let t(y) = -y**4 + 24*y**3 - 41*y**2 - 920*y - 1762. Let x(g) = 2*f(g) - t(g). Factor x(v).
(v - 14)**2*(v + 3)**2
Suppose -2*s - 4/15*s**2 + 32/15*s**3 - 2/15*s**5 + 16/15 - 4/5*s**4 = 0. Calculate s.
-8, -1, 1
Let m(w) be the first derivative of 5*w**4/4 - 145*w**3/3 + 975*w**2/2 + 1125*w + 122. Solve m(d) = 0.
-1, 15
Suppose w - 3*w = -24. Let u(y) = y**4 - y**3. Let z(i) = -15*i**4 + 21*i**3 - 3*i**2 - 9*i + 6. Let h(j) = w*u(j) + z(j). Factor h(r).
-3*(r - 2)*(r - 1)**2*(r + 1)
Let m(f) = -f**2 + 22*f - 72. Let l be m(12). Solve 203*b - l*b + 57*b**2 - 30 - 2*b**2 = 0.
-3, 2/11
Let l(g) be the third derivative of g**6/180 - g**4/12 - g**3/3 + 6*g**2. Let w(m) be the first derivative of l(m). Factor w(d).
2*(d - 1)*(d + 1)
Suppose -h = 43 - 60. Factor -h*w**2