ven that a(p) = 0.
-1, 2
Suppose -28 = -2*l - 2*t, 3*l - 9*t - 26 = -4*t. Let d(u) be the second derivative of 2*u**3 + 9*u**2 + 1/6*u**4 - l*u + 0. Factor d(f).
2*(f + 3)**2
Let b be (-14)/21*-14 - 9 - 0. Factor 0 + 0*h**2 - 1/3*h + b*h**3.
h*(h - 1)*(h + 1)/3
Let l = 30 + -539/18. Let r(q) be the second derivative of 0*q**2 + 1/20*q**5 + 0*q**3 + l*q**4 + 5*q + 0. Factor r(o).
o**2*(3*o + 2)/3
Let i(u) = -u**2 + 13*u - 19. Let r be i(11). Factor 2627 - 2627 - 12*t**2 - 12*t**r - 3*t**4.
-3*t**2*(t + 2)**2
Let u(z) be the third derivative of z**5/210 - 43*z**4/42 + 1849*z**3/21 + 2*z**2 - 13. Factor u(m).
2*(m - 43)**2/7
Suppose 2*s + 5*a = 5*s - 63, -89 = -5*s + 3*a. Suppose -4*j = -0*j - s. What is g in 0 - 3*g**3 - 3/2*g**j + 0*g**2 + 0*g = 0?
-2, 0
Determine q so that 0 - 3/5*q**3 - 12/5*q - 12/5*q**2 = 0.
-2, 0
Let r(k) be the third derivative of -k**8/5280 - k**7/2772 + k**6/1980 + k**4/8 + k**2. Let m(c) be the second derivative of r(c). Solve m(f) = 0.
-1, 0, 2/7
Suppose -3*d + 4 + 5 = 0. Factor -42*b**d - 3*b**5 + 19*b**3 + 17*b**3 + 9*b**4.
-3*b**3*(b - 2)*(b - 1)
Let h(o) be the third derivative of -1/12*o**4 - o**2 - 1/2*o**3 + 0*o + 0 + 1/60*o**5. Solve h(a) = 0 for a.
-1, 3
Factor 729/7*j**4 - 208/7*j - 972/7*j**3 - 864/7*j**2 - 16/7.
(j - 2)*(9*j + 2)**3/7
Let v(m) be the third derivative of -18*m**2 - 2/25*m**5 + 0*m**3 + 0 - 1/10*m**4 + 0*m + 7/200*m**6 + 1/70*m**7. What is g in v(g) = 0?
-2, -2/5, 0, 1
Let k(s) = s**2 - 9*s - 10. Let o be k(10). Suppose 122*u + 58 = 151*u. Let 2/3 - 4/3*g**3 + o*g**u + 4/3*g - 2/3*g**4 = 0. What is g?
-1, 1
Let w(i) be the first derivative of -i**9/756 - i**8/420 + i**7/70 + i**6/18 + i**5/15 + i**3 - 3. Let n(x) be the third derivative of w(x). Solve n(q) = 0.
-1, 0, 2
Let k be 3/4*4 + -1. Suppose -y + 2 = -k. Factor 4*t**5 - 12*t**3 + 0*t + 5*t**2 - 4*t**y + 3*t + 5*t - t**2.
4*t*(t - 2)*(t - 1)*(t + 1)**2
Let p(z) be the third derivative of -z**8/1512 + 2*z**7/189 - 13*z**6/540 - 2*z**5/9 - z**4/3 + 42*z**2 - 1. Factor p(x).
-2*x*(x - 6)**2*(x + 1)**2/9
Let g be 4/(-35) + (-18)/(-45). Let -4/7*o**2 + 4/7 + g*o - 2/7*o**3 = 0. What is o?
-2, -1, 1
Let k be (-8)/3*(-75)/20. Factor -16*d - k*d**3 - 28*d**3 - 80*d**2 + 2*d**3.
-4*d*(d + 2)*(9*d + 2)
Suppose 15*r = -15 + 45. Let l(a) be the first derivative of -2 - 1/8*a**4 + 0*a**3 + 0*a + 0*a**r - 7/20*a**5. Find p, given that l(p) = 0.
-2/7, 0
Let n(s) be the third derivative of -s**6/40 + 127*s**5/60 - 455*s**4/8 + 147*s**3/2 + s**2 + 4. Factor n(i).
-(i - 21)**2*(3*i - 1)
Factor -118/3*u - 14/3 + 17/6*u**2.
(u - 14)*(17*u + 2)/6
Let q = 605 - 605. Let b(c) be the first derivative of -3 + q*c**4 + 0*c - 4/9*c**3 + 4/15*c**5 - 1/9*c**6 + 1/3*c**2. Solve b(t) = 0 for t.
-1, 0, 1
Determine y so that 54/7 + 3/7*y**3 + 18/7*y**2 - 75/7*y = 0.
-9, 1, 2
Let f be ((-16)/(-152) + -14*(-6)/285)/1. Find d, given that 2/5*d**4 + 0 + 0*d - f*d**3 - 2/5*d**2 + 2/5*d**5 = 0.
-1, 0, 1
Let q be (-13)/(1638/(-700)) - 0. Factor -20/9*y + q + 2/9*y**2.
2*(y - 5)**2/9
Suppose 52*z + 17*z + 25*z - 188 = 0. Find y such that 2/3*y**4 + 0 - 4/3*y**3 + 0*y + 2/3*y**z = 0.
0, 1
Let u(i) = -2*i**2 - i + 1. Let p(m) = 15*m**2 + 56*m - 584. Let z(r) = -5*p(r) - 40*u(r). Suppose z(q) = 0. What is q?
24
Suppose 1/3*h**4 - 4/3*h**2 - 1/3*h**3 + 0 + 4/3*h = 0. Calculate h.
-2, 0, 1, 2
Let b = -45 - -49. Factor -2 + 3*r**2 - 4*r**4 + r**3 + 5*r**b - 6*r**2 - 5*r.
(r - 2)*(r + 1)**3
Let j(t) = t**2 + 2*t + 5. Let q be j(-5). Let g = q - 20. Factor 2*x**2 + 0*x**2 - 8*x + 6 + g.
2*(x - 3)*(x - 1)
Let i(r) be the first derivative of -r**3/6 + 9*r**2/2 - 81*r/2 - 17. Factor i(k).
-(k - 9)**2/2
Factor -36992/7 + 544/7*a - 2/7*a**2.
-2*(a - 136)**2/7
Let n(z) be the third derivative of z**6/40 + 16*z**5/5 + 128*z**4 + 90*z**2. Factor n(f).
3*f*(f + 32)**2
Let r = 7/395 - -1531/2765. What is v in -2/3*v + 2/21*v**2 + r = 0?
1, 6
Let j(z) be the third derivative of -z**8/6720 + z**7/2100 + z**6/1200 - z**5/6 - 2*z**2. Let g(y) be the third derivative of j(y). Factor g(q).
-3*(q - 1)*(5*q + 1)/5
Let v(w) be the first derivative of -3*w**5/20 + 3*w**3/2 + 3*w**2 + 7*w - 1. Let s(i) be the first derivative of v(i). Factor s(z).
-3*(z - 2)*(z + 1)**2
Let w(g) = g**5 - g**4 + g**2 + g. Let v(h) = -2*h**5 - 26*h**4 - 52*h**3 - 46*h**2 - 14*h. Let c(n) = v(n) - 2*w(n). Let c(a) = 0. What is a?
-2, -1, 0
Suppose 56*r - 54*r = 10. Let g(v) be the third derivative of -1/120*v**6 - 2/3*v**3 + 0 - 1/3*v**4 + 0*v - 11*v**2 - 1/12*v**r. Let g(b) = 0. What is b?
-2, -1
Let y be (2/(-4))/(2/(-8)). Let r = 2428 - 2424. Factor 4/7*q**y - 2/7*q - 4/7*q**r + 2/7*q**5 + 0 + 0*q**3.
2*q*(q - 1)**3*(q + 1)/7
Let t be 3/9*10/300. Let y(w) be the second derivative of 0 + 1/54*w**4 - t*w**5 - 4*w + 0*w**2 + 1/27*w**3 - 1/135*w**6. Let y(d) = 0. Calculate d.
-1, 0, 1
Let d(u) be the second derivative of 69*u**5/40 - 11*u**4/4 - 47*u**3/4 - 3*u**2/2 + 216*u. Factor d(v).
3*(v - 2)*(v + 1)*(23*v + 1)/2
Let f(x) be the second derivative of x**5/4 - 5*x**4/12 - 5*x**3/3 + 4*x + 5. Let f(o) = 0. What is o?
-1, 0, 2
Let f(v) = -20*v**3 + 92*v**2 - 192*v + 144. Let l(z) = -7*z**3 + 31*z**2 - 64*z + 48. Let g(q) = 3*f(q) - 8*l(q). Find u, given that g(u) = 0.
2, 3
Suppose 0 = -4*c - 3*d + 132, -15*c + 12*c - 4*d + 92 = 0. Let 6*s + 1/4*s**2 + c = 0. Calculate s.
-12
Let y(i) be the first derivative of -3/2*i**2 + 43 + i**3 - 6*i. Determine q, given that y(q) = 0.
-1, 2
Let w(s) be the first derivative of 25/4*s**4 + 5/2*s**2 - 10*s + 5 + 40/3*s**3. Find r, given that w(r) = 0.
-1, 2/5
Let d(n) be the second derivative of 3/20*n**5 + 3/2*n**4 + 32*n + 5/2*n**3 + 0*n**2 + 0. Solve d(p) = 0.
-5, -1, 0
Let b(a) be the first derivative of -a**3/3 - 9*a**2/2 - 537. Determine m, given that b(m) = 0.
-9, 0
Factor 11*z**2 + 26*z**2 + 21*z - 6 - 9*z**2 - 6*z**2 + 5.
(z + 1)*(22*z - 1)
Let q(c) = 3*c**2 + 31*c - 50. Let s(u) = -13*u**2 - 125*u + 194. Let g(x) = 9*q(x) + 2*s(x). Suppose g(b) = 0. What is b?
-31, 2
Solve -65*m + 10*m**2 + 24 - 47*m + 130*m - 82*m = 0.
2/5, 6
Let d(n) be the third derivative of 0*n + 8*n**3 + n**4 + 0 + 13*n**2 + 1/20*n**5. Factor d(w).
3*(w + 4)**2
Let m = -5 + 5. Let s(o) be the second derivative of -1/24*o**4 + 1/80*o**5 + 1/24*o**3 + 0 - 9*o + m*o**2. Find g such that s(g) = 0.
0, 1
Let s(m) = m - 14. Let f = 37 + -22. Let o be s(f). Factor y**2 + 4*y + o - 2*y**2 + 3 - 8.
-(y - 2)**2
Let y(d) be the first derivative of d**9/1512 + d**8/420 - d**7/420 - d**6/90 + 7*d**3/3 - 7. Let f(c) be the third derivative of y(c). Factor f(m).
2*m**2*(m - 1)*(m + 1)*(m + 2)
Let l(s) be the first derivative of s**4/9 + 34*s**3/27 - 29*s**2/9 + 20*s/9 + 7. Suppose l(r) = 0. Calculate r.
-10, 1/2, 1
Let q(y) be the first derivative of 1/12*y**2 + 0*y + 2/15*y**5 + 1/36*y**6 + 1/4*y**4 + 1 + 2/9*y**3. Factor q(g).
g*(g + 1)**4/6
Let g = 126005/3 + -42001. Factor -7/3*r + g + r**2.
(r - 2)*(3*r - 1)/3
Let o(g) = -30*g**2 - 20*g + 50. Let v(x) = x**3 - x. Let s(l) = o(l) - 5*v(l). Factor s(f).
-5*(f - 1)*(f + 2)*(f + 5)
Let k(l) be the second derivative of 1/30*l**4 + 1/50*l**5 + 0 + 0*l**3 + 0*l**2 + 2*l. Solve k(j) = 0.
-1, 0
Let b = 4445 - 48881/11. Suppose -2/11*x**2 + 12/11*x + b = 0. What is x?
-1, 7
Let c = 579 - 351. Let i = c + -228. Factor -1/4*u**3 + 1/4*u + 0 + i*u**2.
-u*(u - 1)*(u + 1)/4
Let v be 2 + -2 - (-74)/444. Factor -v*a**3 + 0*a + 0 - 1/6*a**2.
-a**2*(a + 1)/6
Let j be ((-1)/90)/(4/(-12)). Let k(s) be the third derivative of s**3 - s**2 + 0*s + 0 - j*s**5 + 1/6*s**4. Solve k(g) = 0 for g.
-1, 3
Let d(j) be the second derivative of j**7/24 - 187*j**6/120 + 1297*j**5/80 - 433*j**4/48 - 325*j**3/3 - 169*j**2/2 - 254*j. What is a in d(a) = 0?
-1, -2/7, 2, 13
Suppose -2*y - 28 = -4*z, -3*y = -3*z - y + 22. Let g be (1 + -2)/((51/z)/(-17)). Factor 14/5*m**3 + 22/5*m + 32/5*m**g + 4/5.
2*(m + 1)**2*(7*m + 2)/5
Let q = -2345 + 914551/390. Let l(t) be the third derivative of 0 - 5*t**2 + 1/39*t**3 - 1/156*t**4 + 1/780*t**6 + 0*t - q*t**5. Factor l(d).
2*(d - 1)**2*(d + 1)/13
Let f(x) be the second derivative of x**4/54 - 49*x**2/9 + 193*x - 2. Factor f(s).
2*(s - 7)*(s + 7)/9
Let -72/5*u + 29/2 - 1/10*u**2 = 0. What is u?
-145, 1
Let k(n) be the second derivative of n**3 + 6*n**2 + 0 + 1/16*n*