rd derivative of -22*u**2 + 4/21*u**8 - u**5 + 16/35*u**7 + 0*u**3 - 1/3*u**4 - 23/30*u**6 + 0*u + 0. What is g in t(g) = 0?
-2, -1/4, 0, 1
Let o be (-4)/(-180)*10*18. Let j(s) be the third derivative of 0*s**3 + 0*s + 0*s**o + 0 - 1/60*s**5 - s**2. Let j(g) = 0. What is g?
0
What is w in -208/9 - 68/3*w**2 - 46*w + 2/9*w**3 = 0?
-1, 104
Let s(z) be the third derivative of 2*z**7/105 - z**6/6 - z**5/15 + 5*z**4/6 + 117*z**2. Suppose s(y) = 0. What is y?
-1, 0, 1, 5
Let l be -7 - -2 - (-84)/21. Let y be -2*3/2*l. Factor -1/6*s**2 + 0*s + 0 - 2/3*s**y.
-s**2*(4*s + 1)/6
Factor 56/9 + 2/9*n**2 - 58/9*n.
2*(n - 28)*(n - 1)/9
Let y(b) = -3*b**3 + 9*b**2 + 8*b + 7. Let q(k) = -k**2 - k - 1. Let p(x) = -35*q(x) - 5*y(x). Factor p(d).
5*d*(d - 1)*(3*d + 1)
Determine g, given that 2/3*g**4 + 0*g**3 - 8/9*g**2 + 0*g + 2/9*g**5 + 0 = 0.
-2, 0, 1
Let j(x) = 15*x**3 + 6*x**2 - 27*x + 3. Let v(g) = -g**3 - 12*g**2 + 19*g**2 - 6*g**2 + 1. Let r(u) = -j(u) - 3*v(u). Factor r(y).
-3*(y - 1)*(y + 2)*(4*y - 1)
Let v(j) = 40*j**4 - 705*j**3 + 2290*j**2 - 2055*j + 25. Let y(w) = 5*w**4 - 88*w**3 + 286*w**2 - 257*w + 3. Let n(i) = -3*v(i) + 25*y(i). Factor n(h).
5*h*(h - 13)*(h - 2)**2
Let n(a) be the first derivative of a**5/180 - a**4/18 + 3*a**2/2 - 29. Let u(f) be the second derivative of n(f). Factor u(i).
i*(i - 4)/3
Let j(i) = -11*i**3 + 2*i**2 + 2*i + 1. Let d be j(-1). Suppose -12*x - 145 + 181 = 0. Factor -9*t**4 + 0*t**3 + 36*t**2 - 39*t**2 - d*t**x.
-3*t**2*(t + 1)*(3*t + 1)
Determine b so that 0 + 1/2*b + 1/2*b**2 = 0.
-1, 0
Let b(h) be the first derivative of h**6/12 + h**5/10 - 82. What is f in b(f) = 0?
-1, 0
Let z(g) be the second derivative of 0*g**2 - 1/3*g**7 + 0*g**3 - 3/5*g**6 - 1/5*g**5 - 11*g + 0*g**4 + 0. Suppose z(b) = 0. What is b?
-1, -2/7, 0
Let q be (353/(-1 - 0))/(5/10). Let p = q - -3542/5. Solve -12/5 - p*n - 3/5*n**2 = 0 for n.
-2
Let x(c) be the first derivative of -39*c**5/5 + 33*c**4/4 + 67*c**3 + 147*c**2/2 + 18*c - 3. What is w in x(w) = 0?
-1, -2/13, 3
Suppose -3*r = u - 13, -r + 5*u - 14 = 3. Suppose 6 + r = 3*x. Factor -15*f - 3*f**x - 4 - 12*f**2 + 0 - 2.
-3*(f + 1)**2*(f + 2)
Let a(q) be the third derivative of 0*q + 6*q**2 + 0*q**3 + 1/195*q**5 + 0*q**6 - 2/1365*q**7 - 1/156*q**4 + 0 + 1/2184*q**8. Solve a(k) = 0.
-1, 0, 1
Let g(n) be the first derivative of -n**4/16 - n**3/2 - 9*n**2/8 + 88. Factor g(c).
-c*(c + 3)**2/4
Let d be (1/((-35)/(-10)))/(-4). Let o = 4/7 + d. Factor 4*h + 3/2 + 3*h**2 - o*h**4 + 0*h**3.
-(h - 3)*(h + 1)**3/2
Let t(q) be the third derivative of q**5/45 - 11*q**4/18 + 16*q**3/3 + 2*q**2 + 39. Solve t(i) = 0.
3, 8
Let j(f) be the first derivative of f**4 + 32*f**3/3 + 42*f**2 + 72*f + 28. Factor j(k).
4*(k + 2)*(k + 3)**2
Factor -1/2*l**2 + 51 + 49/2*l.
-(l - 51)*(l + 2)/2
Let h(s) be the first derivative of -1/69*s**6 + 4/69*s**3 - 4/23*s - 3/23*s**2 + 0*s**5 + 15 + 2/23*s**4. Determine f, given that h(f) = 0.
-1, 1, 2
Let l(t) be the second derivative of -t**4/3 - 286*t**3/3 - 284*t**2 - t + 194. Determine q so that l(q) = 0.
-142, -1
Let r = -224092/7 - -32018. Factor -16/7*h**4 + 2/7*h**5 - 8/7 - 8*h**2 + 44/7*h**3 + r*h.
2*(h - 4)*(h - 1)**4/7
Let c(d) be the third derivative of -2/315*d**7 + 23*d**2 - 8/9*d**3 - 1/3*d**5 + 0 + 7/90*d**6 + 0*d + 13/18*d**4. Factor c(a).
-4*(a - 4)*(a - 1)**3/3
Let l(b) = b**3 - b**2 - b + 1. Let k(i) = -65*i + 2*i**4 - 3*i**2 + 2*i**3 - i**4 + 63*i + 2. Let p(j) = k(j) - 6*l(j). Find v, given that p(v) = 0.
-1, 1, 2
Let d(k) = -2*k**3 + k**2 - k + 1. Let l(g) = g**4 + 11*g**3 - 3*g**2 + g - 6. Let r(q) = -4*d(q) - l(q). Factor r(s).
-(s - 1)*(s + 1)**2*(s + 2)
Determine x, given that -29/4*x**3 - 15/2*x**2 + 1/4*x**4 + 0 + 0*x = 0.
-1, 0, 30
Let z(r) = r**4 + r**3 - r**2 - r + 1. Let j(q) = 2*q**4 - q**3 - 5*q**2 - 5*q + 5. Let b(s) = j(s) - 5*z(s). Find x, given that b(x) = 0.
-2, 0
Let u = -61/99 + -37/9. Let b = 490/99 + u. Factor 4/9*z + 2/9*z**2 + b.
2*(z + 1)**2/9
Let r = -87 + 89. Factor 25*n - 2*n**3 - 66 + 7*n + 26 - 2*n**r + 0*n**2.
-2*(n - 2)**2*(n + 5)
Let k(c) be the third derivative of -5*c**2 - 1/27*c**4 - 2/945*c**7 + 0 + 1/540*c**6 + 0*c**3 + 4/135*c**5 + 0*c. Solve k(l) = 0 for l.
-2, 0, 1/2, 2
Let j be 10/6 - 14/21. Let h be (1 - j) + 0 - (-6 + 6). What is l in -1/2*l**2 + 1/2*l + h = 0?
0, 1
Let n(t) = 7*t**4 + 8*t**3 - 14*t**2 - 24*t + 15. Let v(w) = -2*w**4 + w**3 + w**2 + 3*w - 1. Let x(g) = -3*n(g) - 12*v(g). Factor x(d).
3*(d - 11)*(d - 1)**2*(d + 1)
Suppose 2*k - 2 = -2*m + 3*m, k = 5*m - 8. Factor 6*c**2 - 7*c**k - 16 + 16.
-c**2
Let y(i) be the third derivative of -i**6/1080 + i**5/108 + 25*i**4/216 - 125*i**3/54 + i**2 + 3*i. Factor y(s).
-(s - 5)**2*(s + 5)/9
Let w(l) be the third derivative of 9*l**8/112 + 4*l**7/35 - 23*l**6/120 - 2*l**5/5 - l**4/6 + 46*l**2 - 1. Solve w(d) = 0 for d.
-1, -2/3, -2/9, 0, 1
Let d(g) be the first derivative of -g**5/270 - g**4/27 - 5*g**2 + 16. Let r(k) be the second derivative of d(k). Solve r(c) = 0.
-4, 0
Factor 0*t - 15/8*t**3 + 9/4*t**4 - 3/8*t**5 + 0*t**2 + 0.
-3*t**3*(t - 5)*(t - 1)/8
Let j(m) = -m**2 + 770 - 5*m - 770. Let w(x) = -x**2 - x - 1. Let p(a) = 3*j(a) - 6*w(a). Factor p(i).
3*(i - 2)*(i - 1)
Let r be -2 + (-12)/(-8) - (-28)/32. Let w(g) be the first derivative of -g**3 - 4 + 3/2*g + 9/16*g**4 - r*g**2. Factor w(v).
3*(v - 1)**2*(3*v + 2)/4
Let b(s) = -17*s**4 - 58*s**3 - 78*s**2 - 41*s - 4. Let j(i) = -16*i**4 - 58*i**3 - 78*i**2 - 40*i - 4. Let d(k) = 4*b(k) - 6*j(k). What is p in d(p) = 0?
-2, -1, -1/7
Let n(a) be the third derivative of 0 + 0*a + 23/20*a**5 - 12*a**2 - 3/112*a**8 - 33/40*a**6 - 2*a**3 + 0*a**4 + 17/70*a**7. Solve n(u) = 0.
-1/3, 1, 2
Let m(c) be the first derivative of -3*c**4/14 - 356*c**3/21 - 59*c**2/7 + 652. Find y such that m(y) = 0.
-59, -1/3, 0
Let d(g) be the second derivative of -1/8*g**2 - 1/2*g**3 + 8*g + 0 - 3/4*g**4. Solve d(n) = 0 for n.
-1/6
Let d(h) be the third derivative of -1/180*h**5 - 4*h**2 + 0*h**3 + 1/360*h**6 + 0*h**4 + 0*h + 0. Factor d(r).
r**2*(r - 1)/3
Factor -870*f - 864*f + 1739*f - 5*f**2.
-5*f*(f - 1)
Let l = -4/63 + 103/630. Let g(u) be the first derivative of 4/15*u**3 + l*u**4 - 1/5*u**2 + 7 - 4/5*u. Factor g(v).
2*(v - 1)*(v + 1)*(v + 2)/5
Let p(o) be the first derivative of -4*o**3/9 - 2*o**2 + 40*o/3 - 435. Suppose p(q) = 0. Calculate q.
-5, 2
Let h(b) be the first derivative of -b**3/12 + 3*b**2/4 - 132. Factor h(g).
-g*(g - 6)/4
Suppose 0 = -147*h + 112*h + 70. Suppose 2/11*g**h + 0 - 2/11*g = 0. Calculate g.
0, 1
Let t be (3 - (-1)/(-3))*12/(-4). Let g be (-40)/(-252) + (-7)/(196/t). What is a in 130/9*a**4 + 2/9 - g*a**2 - 14/9*a + 50/9*a**5 + 92/9*a**3 = 0?
-1, 1/5
Suppose -2*q = -2*m - 5*q + 17, 5*m = -2*q + 26. Let o(a) = -3*a**2 - 3*a + 6. Let k(z) = z**2 - z + 1. Let g(t) = m*k(t) + o(t). Factor g(r).
(r - 5)*(r - 2)
Let w(s) be the second derivative of 3*s**5/40 + s**4/4 - 2*s**3 - 80*s. Determine x so that w(x) = 0.
-4, 0, 2
Let t = 100 - 95. Solve 4 - 9*v + 12*v**3 - 10*v + 6*v**2 + 2 - 12*v**4 + 4*v + 3*v**t = 0 for v.
-1, 1, 2
Determine r, given that 468/7*r**2 + 949104/7 + 2/7*r**3 + 36504/7*r = 0.
-78
Suppose -2*m = -46 - 26. Suppose 11*d - m = 2*d. Suppose 0*n - 3/4*n**5 + 0*n**2 + 9/4*n**d + 0 - 3/2*n**3 = 0. Calculate n.
0, 1, 2
Suppose 0*p + 2*p = -p. Let m(r) be the third derivative of 0*r**4 - 1/40*r**6 + p*r + 0*r**3 - 1/210*r**7 + 5*r**2 + 0*r**5 + 0. Factor m(f).
-f**3*(f + 3)
Let p(o) be the third derivative of -o**8/3360 + o**6/360 + o**4 - o**2. Let z(t) be the second derivative of p(t). Suppose z(k) = 0. Calculate k.
-1, 0, 1
Let n(o) be the second derivative of o**6/540 - o**4/108 + o**2 - 9*o. Let w(r) be the first derivative of n(r). What is b in w(b) = 0?
-1, 0, 1
Let l = -30 - -26. Let t(k) = 3*k + 16. Let u be t(l). Factor 0 - 3/5*q**u - 3/5*q - 9/5*q**2 - 9/5*q**3.
-3*q*(q + 1)**3/5
Let t = 6681/5 - 1336. Suppose -4*y - 5*v + 0*v = 0, 4*v = 2*y. Solve 1/5*p**5 + 0 + y*p - 1/5*p**3 + t*p**4 - 1/5*p**2 = 0.
-1, 0, 1
Let k(g) = g**5 - g**4 + 2*g**3 + g**2 - g. Let f(n) = -10*n**5 + 2*n**4 + 4*n**3 + 10*n**2 + 6*n. Let w(p) = f(p) + 6*k(p). Let w(q) = 0. Calculate q.
-2, -1, 0, 2
Let f = -58 + 119/2. Let u(x) be the first derivative of -x - 1/4*x**4 - 5 - x**3 - f*x**2. Factor u(h).
