e third derivative of i(d). Suppose h(z) = 0. What is z?
-3, 0
Let z = 983/3 + -4903/15. Determine f so that 8/5*f + 0 - z*f**2 = 0.
0, 2
Let c(d) be the second derivative of 0*d**2 - 2/3*d**3 + 15*d - 1/3*d**4 + 0. Solve c(r) = 0.
-1, 0
Let v(f) be the second derivative of 4/273*f**7 + 0*f**2 + 13*f + 9/130*f**5 + 11/195*f**6 - 1/39*f**3 + 1/78*f**4 + 0. Determine y so that v(y) = 0.
-1, 0, 1/4
Let q(a) = 12*a**3 - 25*a**2 - 14*a + 15. Let t(s) = s**3 - s**2. Let k(i) = -q(i) + 4*t(i). Determine g so that k(g) = 0.
-1, 5/8, 3
Factor 99*r - 12*r**4 - 20*r - 25*r**2 - 11*r**2 + 15*r**4 - 48 - 3*r**3 + 5*r.
3*(r - 2)**2*(r - 1)*(r + 4)
Let x(g) = -2*g + 12. Let a be x(4). Solve 5*c - 5*c**2 + 4*c - 4*c**3 + 9*c**2 - 5*c - a = 0 for c.
-1, 1
Let t(g) be the first derivative of -3*g**4/4 - g**3 + 3*g**2/2 + 3*g - 295. Find c such that t(c) = 0.
-1, 1
Let x = -24 - -27. Factor 15*w**2 - 11*w**2 + 10*w**4 + 14*w**2 + 0*w - 4*w - 24*w**x.
2*w*(w - 1)**2*(5*w - 2)
Let l(p) be the third derivative of p**6/440 + 61*p**5/660 - 9*p**4/22 + 2*p**3/3 + 487*p**2. Let l(x) = 0. Calculate x.
-22, 2/3, 1
Suppose 4*h = -1 + 9. Suppose 0 = -0*q - h*q + 10. Solve -27*c**4 + 21*c**q + 45*c**3 - 30*c**4 + c - 7*c - 2*c**2 - c**2 = 0.
-2/7, 0, 1
Suppose r = -0*r. Suppose r = -4*p + 11 + 9. Factor -s**4 - 5*s + p*s + s**5 + 0*s**5.
s**4*(s - 1)
Factor 2*g**3 + 5*g**5 - 10*g**3 - 434*g**2 + 11*g**5 - 28*g**4 + 434*g**2.
4*g**3*(g - 2)*(4*g + 1)
Let x = 255/13 + -1236/65. Find q, given that 4/5 + 1/10*q**2 - x*q = 0.
2, 4
Let g(m) be the second derivative of -m**7/630 + m**6/36 + 4*m**4/3 - 9*m. Let k(h) be the third derivative of g(h). Solve k(v) = 0 for v.
0, 5
Let f(a) be the third derivative of 0*a + 0*a**3 + 17*a**2 + 2/15*a**5 + 0 + 0*a**4 + 2/105*a**7 + 1/10*a**6. Factor f(c).
4*c**2*(c + 1)*(c + 2)
Let f(p) be the third derivative of -2*p**7/35 + 8*p**6/15 - 2*p**5/15 - 8*p**4/3 + 10*p**3/3 - 6*p**2 + 6. Solve f(i) = 0.
-1, 1/3, 1, 5
Let g(b) = -8*b - 31. Let i be g(-7). Let v be 0 + 45/i + -1. Factor v*q - 2/5*q**2 + 0.
-2*q*(q - 2)/5
Suppose -37*k + 36*k = 5. Let w be k + (6 - 0) - (1 - 2). Find a, given that 0*a**3 + 0*a + 0*a**w + 0 + 2/9*a**5 + 2/9*a**4 = 0.
-1, 0
Let i be (-3 - -2)*2 - -4. Determine x so that -i*x**3 + 5 - 11 - 6*x**4 + 4*x**2 + 6 = 0.
-1, 0, 2/3
Let f(r) be the second derivative of -r**7/26460 + r**6/7560 - 7*r**4/6 + 7*r. Let z(h) be the third derivative of f(h). Let z(y) = 0. What is y?
0, 1
Let -18 - 18 + 30 + y**3 - 7*y = 0. Calculate y.
-2, -1, 3
Let z(v) be the second derivative of -4*v**7/7 - 18*v**6/25 + 33*v**5/50 + 37*v**4/20 + 3*v**3/2 + 3*v**2/5 + 13*v. Determine d, given that z(d) = 0.
-1/2, -2/5, 1
Suppose -3*p + 315 = -9. Let h be -3*(-8)/p + (-4)/(-36). Factor 2/3*n + 0 + h*n**4 + 1/3*n**5 - 1/3*n**2 - n**3.
n*(n - 1)**2*(n + 1)*(n + 2)/3
Let g be ((-96)/(-110))/((-3699)/540 + 7). Solve -18/11*j**4 - 64/11*j**2 - g*j + 32/11 - 54/11*j**5 + 168/11*j**3 = 0.
-2, -2/3, 2/3, 1
Factor 2/7*m**2 + 23328/7 - 432/7*m.
2*(m - 108)**2/7
Let m(j) = -9*j**4 + 9*j**3 + 4*j**2 - 4*j + 5. Let t = -22 - -27. Let y(x) = -4*x**4 + 4*x**3 + 2*x**2 - 2*x + 2. Let v(s) = t*y(s) - 2*m(s). Factor v(u).
-2*u*(u - 1)**2*(u + 1)
Determine y, given that -1/3*y + 1/3*y**3 - 2/3 + 2/3*y**2 = 0.
-2, -1, 1
Let h(m) be the first derivative of -m**5 - 15*m**4/4 + 5*m**3 + 55*m**2/2 + 30*m - 102. Factor h(r).
-5*(r - 2)*(r + 1)**2*(r + 3)
Factor 0*s**2 + 1/3*s**5 + 0*s + 0 + 1/3*s**3 + 2/3*s**4.
s**3*(s + 1)**2/3
Let d = -11258/9 - -1251. Factor 1/9*i**2 + d + 2/9*i.
(i + 1)**2/9
Let c(f) be the first derivative of f**5/15 - f**4/6 - 16*f**3/9 + f**2/3 + 5*f - 183. Determine t, given that c(t) = 0.
-3, -1, 1, 5
Suppose -7*g + g + 18 = 0. Find w, given that -12*w + w**2 + 3 + 3*w**4 + 8*w**2 + 12*w**g - 15 = 0.
-2, -1, 1
Let y(m) be the second derivative of m**6/180 + m**5/60 + m**3/2 + 3*m. Let l(k) be the second derivative of y(k). Factor l(t).
2*t*(t + 1)
Suppose 31*p - 8*p = 46. Let q(b) be the third derivative of -1/20*b**5 + 1/24*b**4 + 1/96*b**6 - 11*b**p + 0*b + 0 + 0*b**3. Find h such that q(h) = 0.
0, 2/5, 2
Let l be (1 - -32)/3 + (-876)/84. What is p in 8/7*p - 6/7 + 2/7*p**4 + l*p**2 - 8/7*p**3 = 0?
-1, 1, 3
Let t be 2 - 0*(-3)/(-9). Suppose 2*k = -0*k + 4. Suppose 4*r**3 - 6 - r - r**3 - t*r + 6*r**k = 0. What is r?
-2, -1, 1
Factor 3*u**2 - 337553 + 337553 - 6*u.
3*u*(u - 2)
Let k(w) = w**2. Let n(r) be the third derivative of -r**5/3 + r**4/2 + 2*r**3/3 + 17*r**2. Let u(j) = 4*k(j) + n(j). Determine t so that u(t) = 0.
-1/4, 1
Suppose -156 = 46*r - 124*r. Find q, given that 0*q**r + 0 + 3/4*q**3 - 3/4*q = 0.
-1, 0, 1
Suppose 4/19 + 10/19*t**3 + 18/19*t**2 + 2/19*t**4 + 14/19*t = 0. What is t?
-2, -1
Factor -68*f**3 - 40*f**2 + 80*f + 46*f**3 + 27*f**3.
5*f*(f - 4)**2
Let d(x) = 10*x**2 + 55*x - 70. Let b(j) = -13*j**2 - 54*j + 73. Let q(w) = 5*b(w) + 6*d(w). Determine h so that q(h) = 0.
1, 11
Let a(r) be the third derivative of 15*r**2 - 1/20*r**5 + 0*r**3 + 1/60*r**6 + 0 + 0*r**4 + 0*r + 1/210*r**7. Suppose a(q) = 0. What is q?
-3, 0, 1
Let n be 504/(-2700) + ((-4)/5 - -1). Let d(w) be the second derivative of n*w**6 - 3/25*w**5 + 4/5*w**2 + 3*w + 0 - 4/5*w**3 + 13/30*w**4. Factor d(t).
2*(t - 2)**2*(t - 1)**2/5
Let a(x) be the first derivative of 0*x**3 + 5 + 1/6*x**4 + 0*x + 3*x**2 - 1/60*x**6 - 1/30*x**5. Let j(y) be the second derivative of a(y). Factor j(v).
-2*v*(v - 1)*(v + 2)
Suppose -4*a + 9 - 1 = 0. Let l(i) = 3*i**2 + 10*i + 10. Let p be l(-2). Suppose a*w**2 + 10*w - 10*w + p*w**2 = 0. Calculate w.
0
Factor -57/4*k**3 - 51/8 - 1/8*k**5 - 23/8*k**4 - 107/4*k**2 - 173/8*k.
-(k + 1)**3*(k + 3)*(k + 17)/8
Let k(p) be the third derivative of p**7/70 - 19*p**6/20 - 2*p**5 + 19*p**4/4 + 39*p**3/2 + 50*p**2. Factor k(w).
3*(w - 39)*(w - 1)*(w + 1)**2
Factor 8/3*u + 0 + 1/3*u**2.
u*(u + 8)/3
Suppose -5*f = -0*f - 40. Suppose 2 - f = -3*r + 3*m, -10 = -5*r + 3*m. Determine p so that -8*p + 4*p**3 - 3*p**4 + p**4 + 8*p**r + 1 - 7 + 4*p = 0.
-1, 1, 3
Factor -208/9*t**2 - 800/9 - 1160/9*t - 10/9*t**3.
-2*(t + 10)**2*(5*t + 4)/9
Let a(y) be the third derivative of -y**6/600 - y**5/100 - y**4/60 - 121*y**2. Factor a(g).
-g*(g + 1)*(g + 2)/5
Let 0 + 3813*t**3 - 4*t**4 + 0 - 256*t**2 - 3749*t**3 = 0. What is t?
0, 8
Let c(t) be the third derivative of t**8/1512 - t**7/945 - 7*t**6/540 + 13*t**5/270 - t**4/18 - 87*t**2. Find g such that c(g) = 0.
-3, 0, 1, 2
Suppose 3*d = d + 16. Suppose 4*k = -3*m + d, 1 = -5*m + k - 1. Factor 0*f + f + f**2 + m*f**2.
f*(f + 1)
Solve -7/2*w + 0 + 1/6*w**2 = 0 for w.
0, 21
Let y(z) be the second derivative of -1/10*z**5 + 0*z**3 + 0*z**2 - 4*z + 0 + 0*z**4 + 1/30*z**6. Suppose y(l) = 0. Calculate l.
0, 2
Let q = -2333 + 2338. Let p(k) be the third derivative of 1/42*k**7 + 0 + 0*k**3 + 0*k + 0*k**4 + 1/24*k**6 + 0*k**q - 12*k**2. Suppose p(r) = 0. What is r?
-1, 0
Let n(v) be the first derivative of 2/39*v**3 - 1/26*v**4 + 1/13*v**2 + 20 - 2/13*v. Factor n(a).
-2*(a - 1)**2*(a + 1)/13
Let a(k) be the first derivative of -k**5/20 + 13*k**4/16 - 31*k**3/12 - 45*k**2/8 - 241. Determine v so that a(v) = 0.
-1, 0, 5, 9
Suppose -q = -3*k - 8, 0*q + 4*q + 4 = 0. Let x be -2 - k*10/6. Factor -12*g**3 - 12*g**3 + 36*g**4 + 16*g**2 - 57*g**x + g**3.
4*g**2*(g - 2)*(9*g - 2)
Let c be (-3)/15 - 21/(-5). Factor b**5 - 84 + 84 + 13*b**3 + 12*b**2 + c*b + 6*b**4.
b*(b + 1)**2*(b + 2)**2
Suppose -2*r = -5*c + 1 + 2, 2*r + 3*c = -27. Let m be ((-4)/r)/((-3)/12) + 2. Factor 0 - 2/9*b**2 + m*b.
-2*b*(b - 1)/9
Let h(b) = -b**2 + 1. Let a(f) = f**4 + 3*f**3 - 7*f**2 - 3*f + 6. Let t(p) = -a(p) + 2*h(p). Find q, given that t(q) = 0.
-4, -1, 1
Let k(j) be the second derivative of -j**5/110 + 31*j**4/66 + 65*j**3/33 + 3*j**2 - 190*j - 2. Factor k(v).
-2*(v - 33)*(v + 1)**2/11
Suppose 0 = -5*i + 399 + 496. Suppose w + 2 - i = 0. Let -8*t**3 + 4*t**5 - 177*t**4 + w*t**4 + 4*t = 0. Calculate t.
-1, 0, 1
Let c = 850 + -844. Let a(j) be the third derivative of c*j**2 - 6*j**3 + 0*j - 1/15*j**5 + 0 + j**4. Solve a(g) = 0 for g.
3
Let n be 12/(-66) + 2/(-22)*-24. Suppose -3*c = -5*f + 45, 2*f - c - 6 - 12 = 0. Let -4*x - f*x**2 + 2*x + 7*x**n = 0. Calculate x.
-1, 0
Suppose -2*n = -4*v + 6, 4*v - 4*n - 9 = -3*n. Factor 5*p**2 + 35*p - 50*p