ermine x so that j(x) = 0.
0
Let -2/7*o**5 + 24/7*o**2 + 12/7*o**4 - 8/7*o - 26/7*o**3 + 0 = 0. What is o?
0, 1, 2
What is g in 3 - 11 - 13 - 10*g - 77*g**2 + 76*g**2 = 0?
-7, -3
Let m(i) be the second derivative of i**5/90 + 17*i**4/54 + 31*i**3/27 + 5*i**2/3 - 5*i + 13. Suppose m(u) = 0. Calculate u.
-15, -1
Let v = 12/137 - -65/822. Let d(f) be the first derivative of -1/18*f**3 + 8 + v*f**2 + 1/2*f. Factor d(p).
-(p - 3)*(p + 1)/6
Let g(j) be the first derivative of 0*j**2 + 8 + 1/12*j**3 - 1/4*j. Find h such that g(h) = 0.
-1, 1
Suppose 0 = 5*t - 3*o - 35, -25 = 367*o - 362*o. Factor -2/9*q**5 - 4/9*q**2 + 4/9*q**t + 2/9*q + 0 + 0*q**3.
-2*q*(q - 1)**3*(q + 1)/9
Let n(w) be the third derivative of -w**8/840 + w**7/175 - 2*w**5/75 + w**2 + 95*w. Find o, given that n(o) = 0.
-1, 0, 2
Suppose -2*b + 5*b = 114. Determine u, given that -8 + 92*u + 240*u**3 - b*u**2 - 92*u**2 - 64*u**2 - 78*u**2 = 0.
2/15, 1/2
Suppose -y + 23 = 5*v - 1, 0 = 3*v - 2*y - 17. Suppose -5*i = b - v, -12 - 8 = 4*b. Factor 1/5*r**i + 2/5 + 3/5*r.
(r + 1)*(r + 2)/5
Let y be 259/(-74)*(-16)/14. Let a(o) be the first derivative of 1 - 8*o + 5*o**y + 2*o**2 + 32/3*o**3. Factor a(v).
4*(v + 1)**2*(5*v - 2)
Let k(d) be the first derivative of -5*d + 8 - 20/27*d**3 - 1/9*d**4 + 1/10*d**5 - 8/9*d**2. Let y(j) be the first derivative of k(j). Solve y(g) = 0 for g.
-2/3, 2
Let b(v) be the third derivative of -v**2 + 0*v**4 + 5/96*v**6 + 1/24*v**5 + 0*v**3 + 0*v - 1/24*v**7 + 0. Suppose b(q) = 0. What is q?
-2/7, 0, 1
Let v(j) be the first derivative of 5 + 0*j + 1/180*j**6 - 4*j**3 + 0*j**2 + 0*j**4 - 1/60*j**5. Let w(i) be the third derivative of v(i). Solve w(b) = 0 for b.
0, 1
Let q(h) be the first derivative of h**6/6 + h**5/2 + 26*h - 15. Let c(j) be the first derivative of q(j). Solve c(g) = 0 for g.
-2, 0
Let r(b) be the third derivative of -1/240*b**6 + 0*b + 0 - 14*b**2 + 0*b**3 - 1/60*b**5 + 1/16*b**4. Suppose r(w) = 0. What is w?
-3, 0, 1
Let o(b) be the first derivative of b**5/12 - 5*b**4/2 + 30*b**3 - 18*b**2 - 14. Let p(u) be the second derivative of o(u). Find v, given that p(v) = 0.
6
Let o(p) = -16*p**5 + 49*p**4 - 191*p**3 - 11*p**2 + 11. Let t(w) = 3*w**5 - 10*w**4 + 38*w**3 + 2*w**2 - 2. Let y(m) = -2*o(m) - 11*t(m). Factor y(b).
-b**3*(b - 6)**2
Suppose -v - 17 = -5*i, 34 = 5*v + 4*i + 3. Factor 4 - 10*g + 2*g**2 + v*g + g.
2*(g - 2)*(g - 1)
Factor -1/4*c**4 + 17/4*c**3 + 0 + 9/2*c**2 + 0*c.
-c**2*(c - 18)*(c + 1)/4
Factor -7*l**4 - 110*l**2 + 14*l**4 + 76*l - 5*l**4 + 32*l**3.
2*l*(l - 2)*(l - 1)*(l + 19)
Let z be 3*3 - (-306649)/(-34080). Let t(i) be the third derivative of 0*i + 5*i**2 + 0 + 1/12*i**4 + 7/240*i**5 - 2/3*i**3 + z*i**6. Let t(h) = 0. What is h?
-4, 1
Factor -726/7*d + 44/7*d**2 - 2/21*d**3 + 0.
-2*d*(d - 33)**2/21
Let c(u) be the first derivative of -u**4/5 - 12*u**3/5 - 46*u**2/5 - 12*u - 80. Factor c(j).
-4*(j + 1)*(j + 3)*(j + 5)/5
Let s = -36 - -34. Let b be (4 - 8)/2*s. Suppose -32/7*a**3 + 18/7*a**b + 4*a**2 - 4/7*a**5 - 12/7*a + 2/7 = 0. Calculate a.
1/2, 1
Factor 0 - 16/3*l**3 - 4/9*l**4 - 5*l**2 - 11/9*l.
-l*(l + 11)*(2*l + 1)**2/9
Let j be -1 + 3 - (3/(-2))/((-27)/(-18)). Solve -1/4*k**j + 1/4*k - 7/4*k**2 + 7/4 = 0 for k.
-7, -1, 1
Let k(l) be the second derivative of l**7/1260 - l**6/540 - l**5/180 - 5*l**4/4 - 6*l. Let v(x) be the third derivative of k(x). Factor v(d).
2*(d - 1)*(3*d + 1)/3
Let q(u) = u**3 - 8*u**2 + 7*u - 4. Let s be q(7). Let b be ((-36)/8 - s) + 34/20. Solve 14/5*k**3 - 16/5*k + 4/5*k**4 - 8/5 + b*k**2 = 0 for k.
-2, -1/2, 1
Determine o, given that -4/9*o + 2/9*o**2 + 2/9 = 0.
1
Let g(w) be the third derivative of w**8/5376 + w**4/2 + w**2. Let s(j) be the second derivative of g(j). Factor s(i).
5*i**3/4
Determine m so that -11/8*m + 15/4 + 1/8*m**2 = 0.
5, 6
Let u(y) be the second derivative of y**4/48 + y**3/8 - 5*y**2/4 - 87*y. Solve u(i) = 0.
-5, 2
Let j = -700 - -1401/2. Let h(n) be the first derivative of 8/3*n**3 - 11 + 0*n + j*n**4 + 3*n**2. Suppose h(i) = 0. What is i?
-3, -1, 0
Let f(j) = 70*j + 38*j + 133 - j**2 - 640 - 26*j. Let a(p) = -84*p + 507. Let h(m) = 2*a(m) + 3*f(m). Solve h(l) = 0.
13
Let v = 26 - 5. Let r be (-7)/v + 0 + 1. Factor 1/3*b**2 + 1/3 + r*b.
(b + 1)**2/3
Let p(a) be the second derivative of -9*a**7/14 - 7*a**6/10 - 4*a**5/15 - a**4/27 + 34*a. Factor p(t).
-t**2*(3*t + 1)*(9*t + 2)**2/9
Let k(p) = p**2 - 49. Let n be 20/(-70) + (-94)/14. Let f be k(n). Factor 0*j + f - 2/9*j**2 - 2/9*j**3.
-2*j**2*(j + 1)/9
Suppose -49/3*h + 76/3*h**2 - 18*h**3 - 1/3*h**5 + 4 + 16/3*h**4 = 0. What is h?
1, 12
Let n = -33 - 1. Let v be (-4)/(-6) - n/(-6). Let b(g) = -5*g**2 - 15*g - 20. Let x(j) = 5*j**2 + 16*j + 20. Let o(i) = v*x(i) - 4*b(i). Factor o(p).
-5*(p + 2)**2
Let p(u) = -u**2 - 1. Suppose 5*d - 29 = 46. Let k(z) = -z**4 + z**3 - 5*z**2 - 5. Let q(h) = d*p(h) - 3*k(h). Factor q(b).
3*b**3*(b - 1)
Let y(i) be the third derivative of 1/15*i**5 + 1/60*i**6 + 1/168*i**8 + 1/6*i**3 + 0*i - 1/42*i**7 + 0 - 1/6*i**4 - 14*i**2. Solve y(s) = 0 for s.
-1, 1/2, 1
Let d be (-7)/(-2)*108/63. What is x in x**2 + 55 - 135 + 40*x - d*x**2 = 0?
4
Suppose -12 = -12*s + 9*s. Suppose 2496*v**s - 5*v**2 - 2493*v**4 + 2*v**2 = 0. Calculate v.
-1, 0, 1
Let h(t) be the second derivative of 2*t**3/3 - 5*t**2/2 + 2*t. Let w be h(4). What is x in -x**4 - w*x + 11*x = 0?
0
Let w(g) be the second derivative of -g**7/105 - 13*g**6/75 + g**5/50 + 13*g**4/30 - 135*g + 2. Solve w(q) = 0 for q.
-13, -1, 0, 1
Let r = -694289/830780 - 2/290773. Let l = -3/35 - r. Determine n, given that l*n - 1/4 + 1/4*n**3 - 3/4*n**2 = 0.
1
Let v(d) = -29*d - d**2 + 37 - 14 + 11*d. Let q be v(-19). Let 3*t + t**2 - q*t + 2*t + 9*t**3 - 10*t**3 - 1 = 0. Calculate t.
-1, 1
Let h(q) be the first derivative of 3*q**5 + 7*q**3 - 31 + 1/2*q**6 + 3*q**2 + 27/4*q**4 + 0*q. Factor h(m).
3*m*(m + 1)**3*(m + 2)
Suppose 7*q - 1 + 22 = 0. Let b be ((-4)/(-2 - (q + 0)))/(-2). Factor 4/7*o**b + 0 + 8/7*o.
4*o*(o + 2)/7
Suppose -73*b - 33*b - 24*b - 845 - 5*b**2 = 0. What is b?
-13
Let o be 4/(-8)*2*-1. Factor 1 + i**3 - 2 - i**2 + o.
i**2*(i - 1)
Let q(s) = s**3 - 2*s**2 + 3*s. Let t(h) = 5*h**3 - 12*h**2 + 17*h. Let l(f) = -34*q(f) + 6*t(f). Let l(u) = 0. Calculate u.
-1, 0
Let n(h) = 10*h**4 - 64*h**3 - 108*h**2 - 32*h + 2. Let d(r) = r**3 + 1. Let y(z) = -2*d(z) + n(z). Factor y(w).
2*w*(w - 8)*(w + 1)*(5*w + 2)
Let t = -53 - -55. What is f in 0*f**2 - 2*f**3 - 5*f**t - 2*f + 9*f**2 = 0?
0, 1
Let d be 65/13 - ((-213)/45)/(-1). Let r(y) be the third derivative of 1/30*y**6 - 10*y**2 + d*y**5 + 0*y**3 + 0*y + 0 + 1/2*y**4. Find t, given that r(t) = 0.
-3, -1, 0
Let p = 123 + -115. Suppose -5*o + 10 = -2*r, 7*o - p = 3*o - 4*r. Let 4/9*f - 2/9*f**o + 0 = 0. Calculate f.
0, 2
Let 50/3*l + 44 + 2/3*l**2 = 0. Calculate l.
-22, -3
Let l(q) be the third derivative of q**6/1080 - 7*q**5/135 + 11*q**4/24 - 4*q**3/3 + 491*q**2. Suppose l(j) = 0. What is j?
1, 3, 24
Let a(j) be the second derivative of j**5/130 - j**4/6 + 35*j**3/39 + 49*j**2/13 + 67*j + 3. Factor a(x).
2*(x - 7)**2*(x + 1)/13
Let q(k) = -2*k + 31. Let d be q(14). Suppose 6*p**3 + 2*p**3 - 3*p**d - 8*p**3 = 0. What is p?
0
Let y be 1 - ((-12)/(-9) + (-170)/60). Suppose 10 + y*b**2 + 10*b = 0. Calculate b.
-2
Let g = -7 - -10. Suppose -5*q - 3*h + 21 + 4 = 0, 2*q + 2*h - 14 = 0. Factor w**4 - g*w**2 + 2*w**2 + 3*w**q + w**4 - 4*w**3.
2*w**2*(w - 1)**2
Let j(b) be the second derivative of -b**7/3780 - b**6/180 - b**5/20 - b**4/4 - 4*b**3 - 7*b. Let k(d) be the second derivative of j(d). What is z in k(z) = 0?
-3
Suppose -506/3*d**2 + 128/3*d**5 - 94/3*d**3 + 352/3*d**4 + 128/3*d - 8/3 = 0. Calculate d.
-2, 1/8, 1
Let f be (12/56)/1 + 4/(-28)*-2. Find n, given that f*n**2 - 1/2*n - 1 = 0.
-1, 2
Let r = 385 - 379. Let x(b) be the third derivative of -2/21*b**3 + 0 - 1/42*b**4 + 0*b + 1/105*b**5 + 4*b**2 + 1/210*b**r. Factor x(k).
4*(k - 1)*(k + 1)**2/7
Let m = 2/2785 + 5564/8355. Factor 2/3*x - m*x**3 + 1/3 + 0*x**2 - 1/3*x**4.
-(x - 1)*(x + 1)**3/3
Let v(c) be the first derivative of -5/6*c**6 + 0*c**5 + 0*c + 0*c**3 + 5/2*c**4 - 5/2*c**2 - 17. Factor v(w).
-5*w*(w - 1)**2*(w + 1)**2
Let a(z) be the third derivative of -z**6/240 + z**5/80 + 5*z**4/96 + 4*z**2 - 1. Find i, given that a(i