ine x so that s(x) = 0.
-2, 0, 2
Let i(g) be the first derivative of -g**4/4 - 33*g**3 - 145*g**2 - 192*g + 761. Factor i(d).
-(d + 1)*(d + 2)*(d + 96)
Let m(j) be the third derivative of 2*j**7/735 - j**6/105 - 11*j**5/105 + 2*j**4/7 + 24*j**3/7 - 103*j**2. Factor m(k).
4*(k - 3)**2*(k + 2)**2/7
Let p(r) = r**3 + r**2 + r - 1. Let d(l) = -5*l**3 - 5*l**2 - 6*l + 6. Let k be ((-4)/2)/(-3 + 5). Let j(a) = k*d(a) - 6*p(a). Suppose j(h) = 0. What is h?
-1, 0
Let g(k) be the second derivative of 1/20*k**5 + 7/12*k**4 + 0 + 2*k - 8*k**2 + 4/3*k**3. Solve g(c) = 0.
-4, 1
Factor 225/7 - 30/7*i + 1/7*i**2.
(i - 15)**2/7
Let g(l) be the first derivative of l**3/9 - 11*l**2/3 + 40*l/3 - 788. Suppose g(v) = 0. What is v?
2, 20
Let w(o) be the first derivative of -o**6/48 - 13*o**5/40 - 17*o**4/16 + 31*o**3/12 + 35*o**2/16 - 49*o/8 + 78. Solve w(q) = 0 for q.
-7, -1, 1
Suppose 178*m = 179*m - 2*d - 7, 0 = -3*m - 2*d + 5. Find p such that -7/4*p**4 + 1/2*p + 0 + 7/4*p**2 - 1/2*p**m = 0.
-1, -2/7, 0, 1
Let a(k) be the second derivative of k**7/630 + k**6/360 - 9*k**2/2 - 10*k. Let w(m) be the first derivative of a(m). Let w(d) = 0. What is d?
-1, 0
Suppose q + 2*q = 0. Let s be (q/(-5))/((-4)/2). Let 4/9*l**3 - 2/9*l**4 - 4/9*l + 2/9*l**2 + s = 0. Calculate l.
-1, 0, 1, 2
Suppose -9*u**3 - 1/4*u**4 - 97*u**2 - 288*u - 256 = 0. Calculate u.
-16, -2
Let k(c) be the second derivative of 0*c**2 + 3/28*c**5 - 9/14*c**3 + 0 + 3/28*c**4 - 16*c + 1/70*c**6. Determine g, given that k(g) = 0.
-3, 0, 1
Suppose -10/3*p**2 + 5/6*p**5 + 5/2*p**4 + 0*p + 0 + 0*p**3 = 0. What is p?
-2, 0, 1
Let g be (-2 - (-5 + 2 + 7)) + 6. Suppose g + 0*m + 4/5*m**3 - 2/5*m**4 + 0*m**2 - 2/5*m**5 = 0. Calculate m.
-2, 0, 1
Let i(x) = -x**4 - x**3 + 2*x**2 + x - 1. Let g(j) = -5*j**4 - 4*j**3 + 62*j**2 + 220*j + 239. Let d(c) = g(c) - 4*i(c). Determine o, given that d(o) = 0.
-3, 9
Let f(c) be the second derivative of 4*c**2 + 1/10*c**5 - 1/2*c**4 + 0*c**3 + 0 - 11*c. Factor f(p).
2*(p - 2)**2*(p + 1)
Suppose 3*m - 20 = -2*m, 2*m = -4*x - 4. Let s be 14/(-6)*(-36)/(-30) - x. Solve 0 + 0*w + s*w**3 + 1/5*w**5 + 0*w**2 - 2/5*w**4 = 0 for w.
0, 1
Let f(x) be the first derivative of -21*x**4/11 - 94*x**3/33 - 3*x**2/11 + 4*x/11 - 138. Find y, given that f(y) = 0.
-1, -2/7, 1/6
Let p be 15/12 + (-399)/(-84). Let d(u) be the second derivative of 0*u**4 - 9/20*u**5 + 0*u**2 + 2*u**3 + 0 + p*u - 1/10*u**6. Factor d(l).
-3*l*(l - 1)*(l + 2)**2
Factor 34*j**3 - 96*j + 100*j**2 + 17*j**3 - 55*j**3.
-4*j*(j - 24)*(j - 1)
Let y(n) be the first derivative of n**4/3 + 2*n**3/9 - 8*n**2/3 - 23*n + 1. Let f(d) be the first derivative of y(d). Suppose f(z) = 0. Calculate z.
-4/3, 1
Let j(w) be the first derivative of 1/165*w**5 + 10 + 0*w + 0*w**3 + 1/132*w**4 + 6*w**2. Let h(r) be the second derivative of j(r). Factor h(n).
2*n*(2*n + 1)/11
Let m = 56 + -57. Let h be m/6 + 30/18. Determine n so that -n**3 + 3/2*n**2 + 0 - h*n**4 + n = 0.
-1, -2/3, 0, 1
Solve 58/19*y**3 + 0 + 130/19*y**2 + 6/19*y**4 - 50/19*y = 0.
-5, 0, 1/3
Let 6*q**3 - 34*q**2 + 0*q**3 - 6*q**5 + 37*q**2 - 3*q**4 + 0*q**5 = 0. What is q?
-1, -1/2, 0, 1
Suppose -g + 4 = -5*b + 29, -5*b = -2*g - 25. Let s(x) be the second derivative of -1/12*x**3 + g*x**2 + 0 - 5*x - 1/24*x**4. Let s(t) = 0. What is t?
-1, 0
Suppose 0 + 1/5*f**2 - 1/5*f**3 + 2/5*f = 0. What is f?
-1, 0, 2
Let z = 13 + -9. Suppose 0*r = 2*i + r - 4, 0 = -z*i - 4*r + 16. Find v, given that i*v**2 + v + 6*v**3 + 2*v**2 + 5*v**3 - 10*v**3 = 0.
-1, 0
Factor -6/7*y**3 + 0 + 0*y + 0*y**2.
-6*y**3/7
Let r(k) be the second derivative of -2*k**4 - 6*k - 9/2*k**2 - 3/5*k**5 + 11/2*k**3 + 5. Let r(b) = 0. Calculate b.
-3, 1/2
Let z(h) be the third derivative of -5*h**8/1512 + h**7/135 + 19*h**6/270 - 38*h**5/135 + 2*h**4/9 - 8*h**2 - 2*h. Solve z(v) = 0.
-3, 0, 2/5, 2
Let r = 2751/760 - 3/152. Factor -12/5*j**2 + 0 - 8/5*j**4 + r*j**3 + 2/5*j.
-2*j*(j - 1)**2*(4*j - 1)/5
Determine g so that 60 + 245/3*g**2 - 29*g**3 - 112*g + 5*g**4 - 1/3*g**5 = 0.
2, 3, 5
Let q(b) be the second derivative of 9*b**5/50 - 79*b**4/30 - 36*b**3/5 - 4*b**2 - 490*b. What is c in q(c) = 0?
-1, -2/9, 10
Let t(p) be the first derivative of -p**7/63 + p**6/45 - 3*p - 17. Let l(s) be the first derivative of t(s). Factor l(a).
-2*a**4*(a - 1)/3
Let f(x) = -12*x + 63. Let z be f(5). Let n(h) be the first derivative of -2/33*h**z - 18/11*h - 6/11*h**2 + 3. Let n(p) = 0. Calculate p.
-3
Let t(f) be the second derivative of 2*f**7/147 - 8*f**6/105 + 3*f**5/35 + f + 9. Determine p, given that t(p) = 0.
0, 1, 3
Let z = -1356/7 + 194. Let x = 39/133 - 1/133. Solve x + 0*v - z*v**2 = 0.
-1, 1
Let s = 5239/2 - 2615. What is g in s*g**5 - 15*g**4 - 2*g**2 + 0*g + 0 - 23/2*g**3 = 0?
-1/3, 0, 4
Let a be ((-11)/(-33))/((-2)/(-12)). Let 4*q**2 - 5*q**3 + 2*q**2 - 2*q**a - 5 + 5*q + q**2 = 0. Calculate q.
-1, 1
Suppose -39 - 50*j + j**2 + 4*j**2 - 22 + 166 = 0. Calculate j.
3, 7
Let g(m) be the first derivative of -44*m**3/21 - 19*m**2/7 + 6*m/7 + 68. What is h in g(h) = 0?
-1, 3/22
Let k be ((-2)/7)/((-78)/546). Find q, given that 0*q**3 - 2/11*q**4 + 0*q + 0 + 2/11*q**k = 0.
-1, 0, 1
Let u(g) = -g + 23. Let v be u(20). Solve 6*o**v + 9*o**3 - 1 - 11*o**3 - 9*o**2 + 6*o = 0.
1/4, 1
Let y(q) = q**3 - 5*q**2 - 4*q - 8. Let t be y(6). Suppose -5*u - 15 = 0, -6*u - 51 = -5*f - 9*u. Factor 4 - f*i + 2*i**2 - 9*i**2 + t*i**2 - 16.
-3*(i + 2)**2
Let d(f) be the second derivative of -19*f**4/6 + 22*f**3/9 - f**2/3 + 4*f - 25. Factor d(l).
-2*(3*l - 1)*(19*l - 1)/3
Let d(j) be the second derivative of 1/120*j**6 + 1/240*j**5 + 0 + 0*j**2 + 0*j**3 + 1/252*j**7 + 39*j + 0*j**4. Factor d(s).
s**3*(s + 1)*(2*s + 1)/12
Let x(l) = -l**3 - l. Let z = -67 - -66. Let s(w) = 35*w**3 - 32*w**2 + 13*w. Let v(h) = z*s(h) - 5*x(h). What is c in v(c) = 0?
0, 2/5, 2/3
Let q(k) be the first derivative of -k**4/2 + 22*k**3 - 288*k**2 + 512*k - 51. Determine a so that q(a) = 0.
1, 16
Let 3/8 - 1/8*h**3 + 1/8*h**2 + 5/8*h = 0. Calculate h.
-1, 3
Suppose 15*d = -d + 48. Let a(b) be the first derivative of 1/9*b**d - 1 + 0*b - 1/6*b**2. Factor a(u).
u*(u - 1)/3
Let -8*n + 5*n**2 + 259 + 128*n + 385 + 76 = 0. Calculate n.
-12
Factor -4*s + 120 + 3*s + 11*s**2 - 138 + s**2 + 4*s + 3*s**3.
3*(s - 1)*(s + 2)*(s + 3)
Let d(q) be the first derivative of q**4/12 + 4*q**3/9 - q**2/6 - 4*q/3 + 76. Factor d(x).
(x - 1)*(x + 1)*(x + 4)/3
Factor 8*l - 24 - 1037*l**3 + 520*l**3 + 519*l**3 + 14*l**2.
2*(l - 1)*(l + 2)*(l + 6)
What is o in 0 + 3/5*o**2 - 1/5*o - 3/5*o**3 + 1/5*o**4 = 0?
0, 1
Let z be -9 + 13 + (-1 - 2) - 2. Let j(k) = k**2 + 1. Let q(d) = -8*d**2 + 4*d - 8. Let y(m) = z*q(m) - 6*j(m). Factor y(r).
2*(r - 1)**2
Factor 4*k**3 + 4*k**2 - 4 - 6*k + k + 2*k - k.
4*(k - 1)*(k + 1)**2
Let k(i) = -i**3 + i - 1. Let f(n) be the third derivative of n**6/120 + n**5/30 - n**4/8 + n**3/3 + 4*n**2. Let l(m) = -f(m) - 2*k(m). Solve l(y) = 0 for y.
0, 1
Let b be ((-12)/10 + -4)/((-1)/(-10)). Let w = -50 - b. Solve -x + 1/2*x**w + 1/2 = 0.
1
Let z(u) be the first derivative of -u**3/3 + u - 26. Let n(b) = b**4 - 6*b**3 + 24*b + 17. Let l(w) = -n(w) + z(w). Factor l(y).
-(y - 4)**2*(y + 1)**2
Let g = -180 + 183. Let a(r) be the third derivative of -1/12*r**6 + 0*r**4 + 0*r + 1/15*r**7 + 0 + 5*r**2 + 0*r**g - 1/15*r**5. Find v, given that a(v) = 0.
-2/7, 0, 1
Let s = -2553/5 - -511. Let t(h) be the second derivative of 1/60*h**4 + 0 + s*h**2 + 2*h - 2/15*h**3. Factor t(d).
(d - 2)**2/5
Suppose 0 = -12*v + 10*v + 6. Factor -140*h**2 + 5*h**3 - 9*h**3 - 53*h**3 + 10 - 55*h - 18*h**v.
-5*(h + 1)**2*(15*h - 2)
Let u(o) be the first derivative of 5/2*o**2 + 5/4*o**4 + 0*o + 10/3*o**3 + 15. Determine p so that u(p) = 0.
-1, 0
Factor -20*o + 40*o + o**4 - o**2 - 22*o + 2*o**3.
o*(o - 1)*(o + 1)*(o + 2)
Let u(a) be the first derivative of 3*a**5/10 - 3*a**4 + 9*a**3/2 + 27*a**2/2 + 9. Factor u(c).
3*c*(c - 6)*(c - 3)*(c + 1)/2
Let c(b) = -9*b**3 - b**2 + 2*b + 2. Let k(m) = -m**3 - m**2 + m + 1. Let z(f) = 2*c(f) - 4*k(f). Solve z(j) = 0 for j.
0, 1/7
Find u, given that -64/3*u**2 + 194/9*u - 2/9*u**3 + 0 = 0.
-97, 0, 1
Let d = 13766 - 178956/13. Factor d*y**2 - 4/13*y + 2/13.
2*(y - 1)**2/13
Let u(z) be the third derivative of 0*z + 1/320*z**6 - 10*z**2 + 1/32*z**5 + 0 - 1/64