, given that z(n) = 0.
0, 2/7, 1
Determine v, given that 14*v**3 - 9*v**3 - 10*v**2 + 10 - 10*v + 5*v = 0.
-1, 1, 2
Let j(o) = o**2 + 15*o**2 + 2 - 4*o**2 - o**3 - 11*o. Let a be j(11). Find d such that 1/2*d**3 + 0*d**a + 0 + 0*d = 0.
0
Let x(v) be the third derivative of -v**6/320 + v**5/160 + v**4/64 - v**3/16 - 9*v**2. Let x(p) = 0. Calculate p.
-1, 1
Let g(z) be the third derivative of -1/840*z**7 - 2*z**2 + 0 + 0*z - 1/2*z**3 + 0*z**6 + 0*z**5 + 0*z**4. Let b(d) be the first derivative of g(d). Factor b(a).
-a**3
Let j(k) = -5*k**2 + 2*k - 7 + 2 - k**3 + 2*k**2. Let y be j(-4). Factor 0*d - y*d + d**2 - 2 - d - 3*d**2.
-2*(d + 1)**2
Let a be (-2)/8 - (-87)/12. Let i(q) = -6*q**3 + 6*q**2 - q - 6. Let m(z) = -5*z**3 + 5*z**2 - z - 5. Let l(d) = a*m(d) - 6*i(d). Let l(y) = 0. Calculate y.
-1, 1
Let j be (-3 + 3)/((-1)/1). Factor -3*i**3 + j*i + i**5 - 2*i + 3*i + i**3.
i*(i - 1)**2*(i + 1)**2
Let k(t) = 25*t**2 - 43*t - 23. Let b(l) = -25*l**2 + 44*l + 24. Let n(m) = -3*b(m) - 4*k(m). Factor n(a).
-5*(a - 2)*(5*a + 2)
Let f(l) be the second derivative of -l**7/98 - l**6/14 - 6*l**5/35 - l**4/7 + 15*l. Factor f(h).
-3*h**2*(h + 1)*(h + 2)**2/7
Suppose -10 = -7*b + 11. Let a = 133 + -395/3. Find n such that -a*n + 2/3*n**2 + 0 + 2/3*n**b = 0.
-2, 0, 1
Let p(f) be the second derivative of 1/90*f**6 + 0*f**2 - 1/120*f**5 + 0*f**4 + 1/3*f**3 + 0 + 4*f. Let k(t) be the second derivative of p(t). Solve k(l) = 0.
0, 1/4
Suppose 12 = 3*d, -3*d + 8 = -4*y - d. Factor 1/4*o**3 + y + 0*o**2 - 1/4*o.
o*(o - 1)*(o + 1)/4
Suppose 5*k = 2*n + 104, 2*k + 34 = -2*n + n. Let w be -12*((-122)/n - 3). Factor -w - 18/7*s**2 - 24/7*s.
-2*(3*s + 2)**2/7
Let w(m) = -m**3 - m + 2. Let l(z) be the first derivative of z**4/4 - z**3/3 + z**2/2 - z - 1. Let s(j) = -6*l(j) - 3*w(j). Factor s(d).
-3*d*(d - 1)**2
Let w = 9 - 9. What is d in -9*d**2 + w*d**2 + 9*d**2 - 5*d**5 - 3*d**4 + 2*d**3 = 0?
-1, 0, 2/5
Determine u, given that 2/15*u**4 + 8/15*u**3 + 8/15*u + 4/5*u**2 + 2/15 = 0.
-1
Find b, given that 8/7*b**3 + 4/7*b - 12/7*b**5 - 20/7*b**4 + 24/7*b**2 - 4/7 = 0.
-1, 1/3, 1
Let d = -316/3 - -106. Factor 0 + 0*w + 4/9*w**3 + 0*w**2 - d*w**5 + 2/9*w**4.
-2*w**3*(w - 1)*(3*w + 2)/9
Suppose 9*h - 5 = 13. Suppose 0 = 5*m + 3 - 23. Find k such that -1/2*k**m - 1/2*k**3 + 0 + 0*k + 0*k**h = 0.
-1, 0
Let i(k) be the third derivative of k**7/165 - 13*k**6/330 + 13*k**5/330 + k**4/22 + 15*k**2. Determine t so that i(t) = 0.
-2/7, 0, 1, 3
Let f(z) be the second derivative of z**5/120 - z**3/36 - 7*z. Factor f(v).
v*(v - 1)*(v + 1)/6
Let d be 316/4 + 1 + -5. Find t, given that -87*t + 6*t**2 + d*t + 12*t**2 + 2 = 0.
1/3
Factor -36*y + 36*y - 4*y**5.
-4*y**5
Let i(c) be the first derivative of c**3/9 - 10*c**2/3 + 100*c/3 + 63. Find w such that i(w) = 0.
10
Let s be (3 - 5)*(1 + -2). Factor -2*g**2 + 2*g**3 - 2*g**3 - s*g**3.
-2*g**2*(g + 1)
What is a in -a**2 - 1 - 2*a - a**3 - 2 + 3*a + 4*a = 0?
-3, 1
Let q(l) = l**3 + l**2 + l. Let n(j) = -2*j**3 - 1 - 21*j**2 - 4*j**3 - 2*j**3 + 9*j**2 - 9*j. Let o(w) = n(w) + 4*q(w). What is d in o(d) = 0?
-1, -1/2
Let l = 2 - 2. Let h(r) be the second derivative of l*r**2 + 2/15*r**3 + 0 - 1/25*r**5 - 1/10*r**4 + 2*r + 1/25*r**6. Let h(p) = 0. Calculate p.
-1, 0, 2/3, 1
Let q = -1129/3 - -377. Let -8/3 + 8/3*x - q*x**2 = 0. What is x?
2
Let j = 1510 - 294449/195. Let n(p) be the third derivative of 2/39*p**3 + 3*p**2 + 0*p - 1/52*p**4 + 1/260*p**6 + 0 - j*p**5. Factor n(v).
2*(v - 1)*(v + 1)*(3*v - 2)/13
Let s(y) be the first derivative of -1/3*y**2 + 0*y + 3 + 7/9*y**3 - 1/4*y**4 - 7/15*y**5 + 5/18*y**6. Suppose s(d) = 0. What is d?
-1, 0, 2/5, 1
Let f(w) be the second derivative of -w**7/126 - 41*w**6/90 - 32*w**5/3 - 1150*w**4/9 - 7000*w**3/9 - 5000*w**2/3 - 50*w. Factor f(i).
-(i + 1)*(i + 10)**4/3
Let f be 4/(-1) - 12008/(-2840). Let g = f - 2/71. Solve -2/5*v**2 + g*v + 0 + 0*v**3 - 1/5*v**5 + 2/5*v**4 = 0.
-1, 0, 1
Let s be 10/(-3)*(11 + -5). Let p = -18 - s. Factor -2/5*j - 4/5 + 2/5*j**p.
2*(j - 2)*(j + 1)/5
Let h(m) be the second derivative of 0 + 0*m**5 + 1/63*m**7 - m + 0*m**2 - 1/9*m**3 - 1/9*m**4 + 2/45*m**6. Find o, given that h(o) = 0.
-1, 0, 1
Let x(a) be the third derivative of -a**7/1260 - a**6/180 - a**4/12 - 6*a**2. Let c(y) be the second derivative of x(y). Factor c(o).
-2*o*(o + 2)
Suppose -3*h + 0*h = -18. Suppose -2*f + 0*v + 2*v = h, -4*f + 2*v - 6 = 0. Suppose 1/4*o**3 + 1/4*o - 1/2*o**2 + f = 0. What is o?
0, 1
Let s(y) be the third derivative of 2/15*y**5 + 0 - 1/60*y**6 + 1/3*y**3 + 1/336*y**8 + 0*y + 8*y**2 - 7/24*y**4 - 1/105*y**7. Solve s(x) = 0.
-2, 1
Factor 7*q**4 + q**2 - 16*q**3 + 2*q**3 + q**2 - q**5 + 10*q + 5*q - 9.
-(q - 3)**2*(q - 1)**2*(q + 1)
Let l(t) = 8*t**2 + 31*t + 2. Let b(v) = -v**2 + v - 1. Let o(k) = -4*b(k) + l(k). Suppose o(j) = 0. Calculate j.
-2, -1/4
Factor 102 + 15*t**2 - 5*t**3 - 102.
-5*t**2*(t - 3)
Suppose -5*r - 14 = 2*u - 41, -3*u = -2*r + 7. Suppose -4*y**3 + 1 + 2*y**4 - u + 6*y**3 = 0. What is y?
-1, 0
Let v(m) be the first derivative of -m**4/26 + 2*m**3/39 + m**2/13 - 2*m/13 + 15. Determine y, given that v(y) = 0.
-1, 1
Let i = 14 + -10. Suppose 0 = -3*h + w + 1, -3*w - 2*w = i*h - 33. Determine a, given that 0*a**2 + 1/2*a**4 + 3/2*a**3 + 0 - h*a = 0.
-2, 0, 1
Let f(g) be the second derivative of g**6/60 + g**5/10 + 5*g**4/24 + g**3/6 + 9*g. Let f(w) = 0. Calculate w.
-2, -1, 0
Let x be ((-189)/35 + 5)*-5. Find t, given that 1/5 + 2/5*t + 1/5*t**x = 0.
-1
Suppose 8*t = -6*t. Find p, given that 0 + 1/3*p**2 - 4/3*p**3 + t*p = 0.
0, 1/4
Let z(w) be the first derivative of -w**8/2520 - w**7/420 - w**6/180 - w**5/180 - w**3 + 1. Let y(x) be the third derivative of z(x). Solve y(s) = 0.
-1, 0
Let a(n) be the second derivative of n**7/70 - 3*n**6/40 + 3*n**5/20 - n**4/8 + 3*n**2/2 - 3*n. Let u(y) be the first derivative of a(y). Factor u(l).
3*l*(l - 1)**3
Let z(j) be the first derivative of -j**7/420 + j**6/240 + j**2/2 + 3. Let w(p) be the second derivative of z(p). Factor w(a).
-a**3*(a - 1)/2
Suppose -47*r - 1 - 2 + 0 + r**2 + 45*r = 0. What is r?
-1, 3
Let n(m) = -m**3 - 31*m**2 - 59*m - 5. Let h(u) = -15*u**2 - 30*u - 3. Let b(f) = -5*h(f) + 3*n(f). What is i in b(i) = 0?
-3, 0
Let f(j) be the first derivative of 5*j**6/6 + 3*j**5 + 15*j**4/4 + 5*j**3/3 + 4. Factor f(h).
5*h**2*(h + 1)**3
Let a(d) be the second derivative of 1/3*d**3 + 0*d**2 + 0 + 1/10*d**5 + 2*d + 1/3*d**4. Suppose a(k) = 0. What is k?
-1, 0
Suppose -a = -2*p - 4, p = 6*p. Determine v so that 6*v + 7*v**4 + 8*v**3 - a*v**4 + 15*v**2 + 4*v**3 = 0.
-2, -1, 0
Let k(h) be the second derivative of 25*h**4/36 - 10*h**3/9 + 2*h**2/3 + h. What is m in k(m) = 0?
2/5
Let d be 1/3 + 8/3. Let q be (-2)/(-4) - (-138)/12. Factor -10*i**4 - i - 6*i**2 - 4*i + 4*i - d*i**5 - q*i**3.
-i*(i + 1)**3*(3*i + 1)
Let h = 151/222 + -1/74. Factor 0 - 2/3*y**5 + 0*y + 0*y**2 + 0*y**4 + h*y**3.
-2*y**3*(y - 1)*(y + 1)/3
Let v(h) = -15*h**2 + 18*h - 27. Let j(k) = -6*k**2 + 7*k - 11. Let m be 62/5 - (-14)/(-35). Let t(y) = m*j(y) - 5*v(y). Factor t(x).
3*(x - 1)**2
Let t(f) = -2*f**2 - 7*f + 3. Let d(r) = 4*r**2 + 13*r - 6. Let k(v) = 6*d(v) + 11*t(v). Let i(o) = -o - 1. Let z(l) = 3*i(l) - k(l). Factor z(w).
-2*w*(w + 2)
Let f(n) = -n**2 + 114*n + 726. Let a(s) = -s**2 + 229*s + 1451. Let d(i) = -6*a(i) + 11*f(i). Factor d(x).
-5*(x + 12)**2
Factor -4/5 - 2/5*s + 2/5*s**3 + 4/5*s**2.
2*(s - 1)*(s + 1)*(s + 2)/5
Suppose 4/3*l - 5/6*l**2 - 2/3 + 1/6*l**3 = 0. What is l?
1, 2
Let b(k) be the first derivative of 2*k**5/15 - 2*k**3/3 + 2*k**2/3 + 13. Factor b(g).
2*g*(g - 1)**2*(g + 2)/3
Let r be (-384)/(-288) - (5/(-3) + 1). Factor 1/2*z**r + 1 - 3/2*z.
(z - 2)*(z - 1)/2
Let c(v) be the third derivative of v**7/2940 - v**6/252 + 2*v**5/105 - v**4/21 - v**3/6 + v**2. Let p(r) be the first derivative of c(r). Factor p(y).
2*(y - 2)**2*(y - 1)/7
Let h(z) = -z**2 - 17*z - 27. Let o be h(-15). Let s(l) be the first derivative of 3 + 0*l + 2/9*l**o + 1/3*l**2. Factor s(r).
2*r*(r + 1)/3
Let j(v) be the second derivative of 1/20*v**5 - 1/42*v**7 + 0 + 0*v**2 - 1/12*v**4 + 5*v + 1/30*v**6 + 0*v**3. Factor j(r).
-r**2*(r - 1)**2*(r + 1)
Let g(x) be the first derivative of -x**7/189 - x**6/45 - x**5/45 + x**4/27 + x**3/9 + x**2/9 + 2*x + 