0.
-5, -3, 4
Let p(b) be the first derivative of 5*b**6/24 + 19*b**5/10 + 69*b**4/16 + 4*b**3/3 - 5*b**2/2 - 156. Suppose p(z) = 0. Calculate z.
-5, -2, -1, 0, 2/5
Let t(b) be the first derivative of b**6/90 + b**5/30 - b**4/36 - b**3/9 - 27*b - 10. Let p(u) be the first derivative of t(u). Find m such that p(m) = 0.
-2, -1, 0, 1
Let f(s) be the first derivative of -3/22*s**4 + 2/11*s**5 + 3/11*s**2 - 14/33*s**3 + 4/11*s + 9. Determine t so that f(t) = 0.
-1, -2/5, 1
Let c(s) be the first derivative of 1/21*s**3 - 1/14*s**2 - 20 + 0*s. Factor c(g).
g*(g - 1)/7
Let k be 3 + ((-1)/(-2))/(4/(-8)). Determine a, given that 70*a**3 + 7*a**4 - 81*a**3 - 2*a**k - 7*a**5 - 23*a**4 = 0.
-1, -2/7, 0
Find x such that 1/6*x**2 + 30603/2 + 101*x = 0.
-303
Let r = -1417/66 + 238/11. Let -r*j**2 - 2/3*j + 0 = 0. Calculate j.
-4, 0
Determine n so that n**3 + 0 + 0*n + 3/4*n**2 + 1/4*n**4 = 0.
-3, -1, 0
Let k = -34922 + 34922. Find j, given that 0 + k*j**4 - 2/9*j - 2/9*j**5 + 0*j**2 + 4/9*j**3 = 0.
-1, 0, 1
Let z(f) be the first derivative of f**7/2940 - f**6/420 - f**5/420 + f**4/28 + f**3/3 + 16. Let o(g) be the third derivative of z(g). Factor o(s).
2*(s - 3)*(s - 1)*(s + 1)/7
Suppose -4*z - 6 = -s, 2 + 1 = -s - 5*z. Let 5*b**3 - 15 + 0*b - 3*b**2 - b**s - 25*b - b**2 = 0. What is b?
-1, 3
Let j(v) = v**3 + v**2 - v - 1. Let d(z) be the first derivative of 3*z**4/2 + z**3 - 6*z**2 - 9*z + 9. Let q(r) = d(r) - 9*j(r). Find f such that q(f) = 0.
-1, 0
Suppose 20 = -5*t, 4*p + 20 = -2*t - 24. Let w be (0/((-3)/p*3))/(-2). Suppose w + 2/9*d - 1/9*d**2 - 1/9*d**3 = 0. Calculate d.
-2, 0, 1
Suppose 43/2*y**2 + 9/2*y**4 - 29/2*y**3 - 1/2*y**5 - 15*y + 4 = 0. Calculate y.
1, 2, 4
Let a(h) be the third derivative of h**7/350 + 9*h**6/200 + 27*h**5/100 + 27*h**4/40 - h**2 - 6. What is b in a(b) = 0?
-3, 0
Find w, given that -247*w**3 - 147 + 1203 - 1044*w + 58*w**3 - 20057*w**2 + 3413*w**2 = 0.
-88, -2/7, 2/9
Let p(y) be the first derivative of 3*y**5/40 - 3*y**4/8 - 46. Factor p(w).
3*w**3*(w - 4)/8
Let o(t) be the second derivative of 3*t**2 + 0 + 11/2*t**3 - 25/56*t**7 - 57/80*t**5 - 7/4*t**6 + 31/8*t**4 - 43*t. Suppose o(z) = 0. Calculate z.
-2, -1, -2/5, 1
Let v be (-7)/21 + 26/6 + -4. Find a such that -1/5*a**4 + 0*a + 0*a**3 + 0*a**2 + 1/5*a**5 + v = 0.
0, 1
Let w = -342 - -347. Let u = -4 + 7. Factor 8/13*d**4 + 8/13*d**2 + 0 - 2/13*d - 2/13*d**w - 12/13*d**u.
-2*d*(d - 1)**4/13
Let n(y) be the third derivative of -1/21*y**7 + y**4 + 0*y + 0 + 1/30*y**5 - 1/5*y**6 + 4/3*y**3 - 11*y**2. Find m such that n(m) = 0.
-2, -1, -2/5, 1
Let q = -1533 + 1535. Factor 0 + 0*n**q + 2/3*n**3 + 0*n.
2*n**3/3
Let d(q) be the first derivative of 3*q**5/20 - 9*q**4/16 - 3*q**3/4 + 21*q**2/8 + 9*q/2 - 325. What is g in d(g) = 0?
-1, 2, 3
Let n(b) = b**2 - 13*b - 65. Let v be n(17). Let g(u) be the second derivative of 0 + 4/3*u**v + 4*u**2 + 4*u + 1/6*u**4. Factor g(x).
2*(x + 2)**2
Let p(v) be the first derivative of 17 - 11/6*v**2 - 1/3*v**3 - 2*v. Factor p(z).
-(z + 3)*(3*z + 2)/3
Let s(o) be the second derivative of -o**6/6 - 3*o**5/4 + 10*o**3/3 + 103*o. Determine n, given that s(n) = 0.
-2, 0, 1
Let l(o) be the second derivative of 22*o + 108*o**2 - 6*o**3 + 0 + 1/8*o**4. Let l(y) = 0. Calculate y.
12
Let n = 20771 - 20766. Factor 0 + 0*v**2 + 0*v**3 + 0*v - 2/13*v**n - 2/13*v**4.
-2*v**4*(v + 1)/13
Let v(d) be the second derivative of d**7/14 + 111*d**6/35 + 447*d**5/14 - 1063*d**4/7 + 3111*d**3/14 - 867*d**2/7 - d - 97. Solve v(c) = 0 for c.
-17, 2/7, 1
Let r(v) be the first derivative of 7*v**6/8 - 141*v**5/20 - 105*v**4/8 - 4*v**3 + 390. Suppose r(w) = 0. What is w?
-1, -2/7, 0, 8
Let t(s) be the third derivative of s**5/330 + 7*s**4/132 + 2*s**3/11 - 714*s**2. Factor t(b).
2*(b + 1)*(b + 6)/11
Factor -510/7*r**2 - 2376/7*r - 4*r**3 - 486/7.
-2*(r + 9)**2*(14*r + 3)/7
Let k be 7/45*3 + 3/15. Let h(s) be the second derivative of -k*s**3 + 3*s**2 + 5*s + 1/18*s**4 + 0. Factor h(f).
2*(f - 3)**2/3
Let y(r) be the third derivative of 11*r**2 + 1/4*r**4 - 2/105*r**7 + 0*r - 2/9*r**3 + 0 + 1/504*r**8 + 7/90*r**6 - 8/45*r**5. Factor y(z).
2*(z - 2)*(z - 1)**4/3
Let k(l) = -3*l**5 - 2*l**4 - l**3 + 2*l**2. Let b(a) = -a**5 + a**2. Let j(i) = 10*b(i) - 5*k(i). Suppose j(s) = 0. What is s?
-1, 0
Let c(h) = -13*h - 15. Let a be c(-2). Factor 5*p**5 - 5*p**4 + 2*p**2 + a*p + 3*p**2 - 5*p**3 - 11*p.
5*p**2*(p - 1)**2*(p + 1)
Let g = -86 + 88. Let -p - 5*p**4 + 14*p**2 - 9*p - 37*p**2 + 38*p**g = 0. Calculate p.
-2, 0, 1
Let x be (-1788)/(-24)*(5 + -1). Let -3*f - x*f**2 + 9*f + 313*f**2 + 6*f**3 = 0. What is f?
-2, -1/2, 0
Let c be 424/(-424)*(-1)/(-6)*-1. Find j such that -1/3*j**4 + 0 - c*j**2 + 5/6*j**3 - 1/3*j = 0.
-1/2, 0, 1, 2
Let h be 4/3*3/2. Suppose 9 = 3*y, 2*y = -h*m - 2*m + 14. Factor 2 + 1 - 2 - 4*r**m + 3*r.
-(r - 1)*(4*r + 1)
Let u(d) = -3*d**4 + 20*d**3 - 20*d**2 - 2. Let i(w) = -w**4 + 1. Let h(s) = -2*i(s) - u(s). Determine a so that h(a) = 0.
0, 2
Let z = 12731/15 - 848. Let m(x) be the second derivative of 0 - 2/5*x**2 + z*x**3 - 11/50*x**5 - 7/30*x**4 - 2*x + 3/25*x**6. Solve m(l) = 0.
-1, 2/9, 1
Suppose 16 = 8*v - 0. What is f in 8 - v*f**2 + 2*f**3 + 16*f + f**2 + 11*f**2 = 0?
-2, -1
Let k(o) = o**3 - o**2 + o. Let x(s) = -5*s**3 - 12*s**2 - 19*s. Let b(i) = 4*k(i) + x(i). Find d, given that b(d) = 0.
-15, -1, 0
Suppose 35*d**2 + 15*d + 7083 - 3608 - 3585 = 0. What is d?
-2, 11/7
Let p(w) = w**5 + w**4 - w**2. Let x = 13 - 14. Let r(b) = 9*b**5 + 9*b**4 - 9*b**3 - 21*b**2 - 6*b. Let i(c) = x*r(c) + 6*p(c). Factor i(o).
-3*o*(o - 2)*(o + 1)**3
Let u(a) = a**3 + 5*a**2 - a + 1. Let r be u(-5). Find t, given that -20*t**2 - 15*t**4 + 35*t**2 + 9*t**3 - 12*t**5 + r*t - 3*t = 0.
-1, -1/4, 0, 1
Let j = 20 - 17. Solve t**2 + 265*t - 262*t + 3*t**j + 5*t**2 = 0.
-1, 0
Let m = 6/5401 + 5353/43208. Factor 0 - m*t**2 - 1/2*t.
-t*(t + 4)/8
Let r(g) be the first derivative of g**4 - 68*g**3/3 + 36. Solve r(b) = 0 for b.
0, 17
Let l = -9661 - -67629/7. Let m = -2 - -2. Factor -l*z**4 - 6/7*z**2 - 6/7*z**3 + m - 2/7*z.
-2*z*(z + 1)**3/7
Let n(y) = 4*y**2 - 39*y - 14. Let s be n(10). Let t(b) = -2*b**3 - 9*b**2 - 3*b + 6. Let x be t(s). Factor -4*l + 1/3*l**4 - x*l**3 + 4/3 + 13/3*l**2.
(l - 2)**2*(l - 1)**2/3
Let m be -6*119/42 - -17. Factor -2/11*l**2 - 2/11*l + m.
-2*l*(l + 1)/11
Let w(a) be the first derivative of 5 - 3/2*a + 1/2*a**3 - 3/4*a**2 + 3/8*a**4. Factor w(q).
3*(q - 1)*(q + 1)**2/2
Let a(d) be the first derivative of -2*d**3/39 - 4*d**2 - 104*d - 102. Solve a(n) = 0.
-26
Let f be (-36)/(-15) - (21/15 + -1). Let w(t) be the first derivative of 1 - 2*t**f - 6*t - 2/9*t**3. Factor w(l).
-2*(l + 3)**2/3
Let i(c) be the second derivative of 2*c**7/105 + c**6/20 - c**4/12 - 6*c**2 - 17*c. Let y(j) be the first derivative of i(j). Let y(h) = 0. What is h?
-1, 0, 1/2
Let g(t) be the third derivative of 1/40*t**6 - 25/96*t**4 - 11/240*t**5 - 1/12*t**3 - 6*t**2 + 0 + 0*t. Factor g(n).
(n - 2)*(n + 1)*(12*n + 1)/4
Let y(i) be the third derivative of -i**6/480 + 29*i**5/240 + 31*i**4/48 - 47*i**2. Let y(h) = 0. Calculate h.
-2, 0, 31
Let m be (6/4 + 0)/((-18)/(-24)). Let z be m/(-4) - (-2)/4. Determine y so that -16/5*y**4 + z*y + 0*y**2 + 0 + 8/5*y**3 - 2*y**5 = 0.
-2, 0, 2/5
Let w(n) be the third derivative of -n**8/420 - 193*n**7/1050 - 317*n**6/75 - 2519*n**5/150 - 161*n**4/6 - 529*n**3/30 - 6*n**2 - 21*n. Let w(y) = 0. What is y?
-23, -1, -1/4
Let x(l) be the third derivative of l**6/60 - l**5/5 + 3*l**4/4 - 112*l**2 + 2*l. Let x(a) = 0. What is a?
0, 3
Let h(q) = 5*q**2 - 8*q + 5. Let y(m) = -21*m**2 + 33*m - 21. Let o(n) = 9*h(n) + 2*y(n). Let o(c) = 0. What is c?
1
Let l be (636/(-15)*-5)/(1 + 0). Factor -l*z**4 + 105*z**4 + 106*z**4 + z**2.
-z**2*(z - 1)*(z + 1)
Let j(o) be the third derivative of 0*o - 1/40*o**5 + 9*o**2 + 5/6*o**3 - 1/360*o**6 + 0 - 1/12*o**4. Let r(n) be the first derivative of j(n). Factor r(s).
-(s + 1)*(s + 2)
Suppose 3*p + 0*k = -4*k + 79, 2*p - 54 = -2*k. Determine m, given that 2*m**3 + 5*m**5 - 29*m**2 + p*m**2 - 7*m**3 = 0.
-1, 0, 1
Let r = -50 + 55. Suppose v = v - r*v. Find a, given that v - a + 1/2*a**2 + 29/2*a**3 - 14*a**4 = 0.
-1/4, 0, 2/7, 1
Find d such that -4/3*d**3 + 52/3*d**2 + 44/3 - 92/3*d = 0.
1, 11
Let b = 1457 + -