e 30/(-2)*14/(-35). Determine z, given that 1 - 4*z**2 + 3 + p*z**3 - 7*z**3 + z = 0.
-4, -1, 1
Let f(k) be the first derivative of k**8/504 - k**7/105 + k**6/60 - k**5/90 + k**2 + 3. Let l(i) be the second derivative of f(i). Factor l(u).
2*u**2*(u - 1)**3/3
Let g(y) = -6*y**3 + 7*y**2 + 16*y - 8. Let t(s) = -919 + s**2 + 465 + 454. Suppose -5*k + o = -k - 72, 0 = -o. Let j(w) = k*t(w) - 2*g(w). Factor j(b).
4*(b - 1)*(b + 2)*(3*b - 2)
Suppose 81 = 4*a - 15. Let v be (-16)/(-6) + (-16)/a. Solve -87 + v*k**3 + k**2 + 87 + k**4 = 0.
-1, 0
Let j(a) be the first derivative of 4*a**3/3 - 16*a + 52. Find q, given that j(q) = 0.
-2, 2
Suppose -5*s + 20 = 5. What is f in 3*f**5 + 14*f - 15*f**4 - 21*f**2 - f - 7*f + 27*f**s = 0?
0, 1, 2
Factor 5*y**3 - 360 - 91*y - 299*y + 971*y**2 - 996*y**2.
5*(y - 12)*(y + 1)*(y + 6)
Suppose -44*j + 6 - 45 + 29 - 4*j**2 - 62 = 0. Calculate j.
-9, -2
Let g be 750/8 - -1 - -4. Let m = 99 - g. Factor 1/4*j**5 - m*j**3 - 1/4*j**4 + 0 + 0*j + 1/4*j**2.
j**2*(j - 1)**2*(j + 1)/4
Let j be (76/(-3))/(-19) + 4/(-6). Let u(m) be the second derivative of 1/15*m**5 + 1/9*m**4 + 0 - 2/9*m**3 - j*m**2 - 7*m. Solve u(t) = 0 for t.
-1, 1
Suppose -3/7*u**2 + 12/7 - 3/7*u**3 + 12/7*u = 0. What is u?
-2, -1, 2
Let r(g) be the second derivative of -5*g + 0 - 5/24*g**4 - 45/4*g**2 - 5/2*g**3. Find x, given that r(x) = 0.
-3
Let x(k) = -5*k**2 + 148*k + 65. Let p be x(30). Suppose 4/3*a**4 + 0*a + 2/3*a**p + 0 + 2/3*a**3 + 0*a**2 = 0. Calculate a.
-1, 0
Let s(b) be the second derivative of b**7/7 - b**6/10 - 9*b**5/5 - 5*b**4/2 + b**3 + 9*b**2/2 - 49*b. Let s(x) = 0. Calculate x.
-1, 1/2, 3
Let p be ((18/(-2))/225)/(-2). Let c(v) be the second derivative of 0*v**2 - 1/60*v**4 - 1/150*v**6 + 0*v**3 + p*v**5 + 0 - 8*v. Find t such that c(t) = 0.
0, 1
Let 95 + 89*t**2 - 114*t**2 - 266 - 123*t - t**3 = 0. What is t?
-19, -3
Suppose -117*r = -79 - 155. Factor -8/7*j**r + 8/7*j + 0 + 2/7*j**3.
2*j*(j - 2)**2/7
Determine i, given that -20/11 + 2/11*i**2 + 6/11*i = 0.
-5, 2
Let c be 15/(-2*1/((-4)/6)). Let o(v) be the third derivative of 0*v + 1/30*v**c + 0 - 1/2*v**4 + 3*v**3 + 5*v**2. Factor o(l).
2*(l - 3)**2
Find b such that 2/13*b**2 - 18/13*b - 18/13 + 2/13*b**3 = 0.
-3, -1, 3
Let n be (20/(-6) + 2)*78/(-312). Let m(l) be the first derivative of n*l**4 + 1/3*l**2 + 1/15*l**5 + 5/9*l**3 + 6 + 0*l. Solve m(z) = 0.
-2, -1, 0
Solve 27/4 - 13/2*n - 1/4*n**2 = 0.
-27, 1
Let p be -5 - -9 - 2 - 0. Let w(o) be the first derivative of -1/14*o**4 + 0*o + 2/7*o**p + 3 - 2/21*o**3. What is r in w(r) = 0?
-2, 0, 1
Let 256/3 + 300*i**2 + 320*i = 0. What is i?
-8/15
Determine u so that 2/3*u**2 - 1/6*u**3 - 5/6*u + 1/3 = 0.
1, 2
Let r(y) be the third derivative of -y**6/72 + 5*y**4/24 + 5*y**3/9 + 43*y**2. Factor r(m).
-5*(m - 2)*(m + 1)**2/3
Let w = 1183/1341 - -1/149. Let a(o) be the first derivative of 7 + 2/9*o**3 + 2/9*o**4 + 2/45*o**5 - w*o - 4/9*o**2. What is q in a(q) = 0?
-2, -1, 1
Let j be ((-27)/24)/((-219)/292). Factor -j*y + 0 + 3/2*y**2.
3*y*(y - 1)/2
Suppose -2*m + 4 = -2*g, -2*g - 2*g = 2*m + 2. Suppose -3 - m = -2*p. Factor 23/5*z**p - 1/5 - 24/5*z**3 - 144/5*z**4 + 2/5*z.
-(3*z + 1)**2*(4*z - 1)**2/5
Let y(z) be the first derivative of z**6/40 + 3*z**5/10 + 9*z**4/8 - 2*z**2 - 18. Let g(t) be the second derivative of y(t). Solve g(a) = 0.
-3, 0
Factor 1936*v + 74*v**4 + 23*v**4 + 1588*v**3 - 3696*v**2 + 71*v**4 + 4*v**5.
4*v*(v - 1)**2*(v + 22)**2
Let c(h) be the second derivative of 12*h**2 - 5*h - 9/2*h**4 + 3/4*h**5 + 0 + 6*h**3. Factor c(b).
3*(b - 2)**2*(5*b + 2)
Factor 1/7*c**4 + 16/7 - 1/7*c**3 - 4/7*c - 12/7*c**2.
(c - 4)*(c - 1)*(c + 2)**2/7
Suppose 8*z - 36 - 12 = 0. Let v be (-1 - -1) + 0 + 2. Find s, given that -8*s**v - z*s + 2*s - s**4 - 2*s**3 - 3*s**3 = 0.
-2, -1, 0
Let q = 279/17 + -125533/7650. Let n(r) be the third derivative of 7*r**2 + 1/225*r**6 - q*r**5 + 0*r - 4/1575*r**7 + 0 + 0*r**4 + 0*r**3. Solve n(d) = 0 for d.
0, 1/2
What is d in 14 + 550*d**2 - 275*d**2 - 9*d + 0 - 274*d**2 = 0?
2, 7
Factor 3748 + 3*g**4 - 17*g**4 - 36*g - 3748 - 61*g**3 - 84*g**2 - g**5.
-g*(g + 1)**2*(g + 6)**2
Suppose j + 2*g - 1 = g, 0 = j - g - 7. Let f(d) = d**3 - 5*d**2 + 7*d - 10. Let i be f(j). Determine k so that 1 - 9*k**i + 4 + 4*k**2 = 0.
-1, 1
Let k = 20 - 14. Let x = k - 4. Suppose 20*o**2 - 26*o**x + 3*o**3 + 2*o + o = 0. What is o?
0, 1
Factor 0*b**2 + 2/5 - 2/5*b**4 + 4/5*b - 4/5*b**3.
-2*(b - 1)*(b + 1)**3/5
Let b(t) be the second derivative of t**7/8820 + t**6/1260 + t**4/12 + t. Let y(p) be the third derivative of b(p). Find j such that y(j) = 0.
-2, 0
Let -16/5*d**4 + 0 + 0*d - 12/5*d**2 + 2*d**5 - 38/5*d**3 = 0. What is d?
-1, -2/5, 0, 3
Let i(v) be the first derivative of -v**6/51 - 112*v**5/85 - 482*v**4/17 - 6880*v**3/51 + 1600*v**2 - 64000*v/17 - 168. Factor i(p).
-2*(p - 2)**2*(p + 20)**3/17
Let b(t) be the third derivative of -1/90*t**5 + 15*t**2 - 1/3*t**4 + 0 + 0*t**3 + 0*t. Factor b(g).
-2*g*(g + 12)/3
Let h(j) be the third derivative of -25*j**8/1008 + 23*j**7/126 - 5*j**6/36 - 2*j**5/9 + j**2 - 186. Let h(p) = 0. Calculate p.
-2/5, 0, 1, 4
Factor -3*d**5 - d**2 - 85*d + 6*d**2 - 3*d**3 - 15*d**3 - 17*d**2 - 12*d**4 + 82*d.
-3*d*(d + 1)**4
Suppose -23*g - 2 = 3*n - 19*g, -5*n = 4*g - 2. Determine v, given that -4/9*v**3 + 4/9*v - 2/9*v**n + 0 + 2/9*v**4 = 0.
-1, 0, 1, 2
Let a(g) be the third derivative of -3*g**7/245 + 47*g**6/280 - 59*g**5/70 + 87*g**4/56 + 9*g**3/7 - 30*g**2 + 2*g. Suppose a(i) = 0. What is i?
-1/6, 2, 3
Factor -2*w**4 + 130/7*w + 92/7*w**2 + 50/7 - 4/7*w**3 + 2/7*w**5.
2*(w - 5)**2*(w + 1)**3/7
Let h(x) be the first derivative of -2*x**6/15 - 4*x**5/25 + 9*x**4/5 - 44*x**3/15 + 8*x**2/5 - 297. Let h(u) = 0. Calculate u.
-4, 0, 1
Factor -2/7*s**3 - 8*s - 22/7*s**2 + 0.
-2*s*(s + 4)*(s + 7)/7
Let v be 3/(-4)*(-7 + 11). Let g(p) be the first derivative of -p**3 + 5. Let d(k) = -2*k**2. Let m(j) = v*g(j) + 5*d(j). Let m(i) = 0. Calculate i.
0
Let w(o) be the second derivative of o**6/40 + 53*o**5/80 + 11*o**4/16 - 17*o**3/24 - 190*o. Solve w(f) = 0 for f.
-17, -1, 0, 1/3
Let p = 35 + 27. Factor 8*t + p*t**3 + 0*t**4 - 4 + 4*t**4 - 70*t**3.
4*(t - 1)**3*(t + 1)
Let o = 8 + -4. Let j be (60/16)/(6/o). Factor 1/2 + 2*s**4 + 3/2*s**3 - j*s**2 - 3/2*s.
(s - 1)*(s + 1)**2*(4*s - 1)/2
Factor w**3 - 57*w**2 + 1365*w - 53*w**2 + 38*w**2 - 2450.
(w - 35)**2*(w - 2)
Let d(z) be the first derivative of -z**4 + 0*z + 26 + 2*z**2 - 2/5*z**5 + 2/3*z**3. Factor d(y).
-2*y*(y - 1)*(y + 1)*(y + 2)
Solve -26/7*f + 4 - 2/7*f**2 = 0 for f.
-14, 1
Let t(r) be the second derivative of 0*r**2 + 0 + 1/48*r**4 + 8*r + 7/24*r**3. Factor t(h).
h*(h + 7)/4
Let o(i) = i**3 - 4*i**2 + 3*i - 6. Let f be o(4). Let -5 + 3 + 8 - f*t**2 + 9*t + 0 = 0. Calculate t.
-1/2, 2
Let i(g) be the first derivative of -g**7/6300 + g**6/1350 - g**5/900 + 23*g**3/3 - 1. Let n(q) be the third derivative of i(q). Factor n(c).
-2*c*(c - 1)**2/15
Let i(s) be the second derivative of 2*s**6/105 + s**5/10 - s**4/7 - s**3/3 + 4*s**2/7 - 377*s. Let i(f) = 0. What is f?
-4, -1, 1/2, 1
Let o(n) be the second derivative of -n**6/45 + 7*n**5/30 - n**4/2 - 7*n**3/9 + 10*n**2/3 + 24*n. Determine q so that o(q) = 0.
-1, 1, 2, 5
Find q, given that 1/2 + 3/2*q**2 - 1/2*q**3 - 3/2*q = 0.
1
Suppose -5*t + 2*l + 16 = 0, -4*t - 5*l + 18 + 8 = 0. Solve 7/5*p**5 + 19/5*p**2 + 4/5 - 23/5*p**4 + 13/5*p**3 - t*p = 0.
-1, 2/7, 1, 2
Let n(m) be the third derivative of 0*m**3 + 1/20*m**4 - 13*m**2 + 0*m + 0 + 1/100*m**5 - 1/200*m**6. Factor n(p).
-3*p*(p - 2)*(p + 1)/5
Let q(a) be the first derivative of -a**8/560 + 3*a**7/140 - a**6/10 + a**5/4 - 3*a**4/8 - 11*a**3/3 + 6. Let j(y) be the third derivative of q(y). Factor j(b).
-3*(b - 3)*(b - 1)**3
Let i = -18 + 23. Suppose i*o = 3*o + 10. Factor o + 0*b - b + b**3 - 4 + 2*b**2 - 3*b**2.
(b - 1)**2*(b + 1)
Let m(k) be the second derivative of 3/8*k**3 - 1/4*k**2 + 0 - 7/48*k**4 + 7*k. Factor m(j).
-(j - 1)*(7*j - 2)/4
Let b(g) be the third derivative of 5/2*g**3 - 2/175*g**7 + 0 - 13/8*g**4 - 129/100*g**5 - 43/200*g**6 - 38*g**2 + 0*g. Solve b(o) = 0 for o.
-5, -1, 1/4
Let f be -26*(-4)/24 + 4 + -7. Factor 2/3*k - 2/3*k**3 + f - 4/3*k**2.
-2*(k - 1)*(k + 1)*(k + 2)/3
Factor 2/3*c**2 + 20/3*c + 0.
2*c*(c + 10)/3
