 o(z) = 0.
2/7, 373
Factor 11120*v**2 - 11119*v**2 - 26*v + 960*v + 933.
(v + 1)*(v + 933)
Let l(p) be the first derivative of -10/3*p**3 - 6 + 5/3*p**4 + 1/24*p**6 + 0*p + 7*p**2 - 5/12*p**5. Let r(v) be the second derivative of l(v). Factor r(j).
5*(j - 2)**2*(j - 1)
Let m(z) be the first derivative of -2 - 1/24*z**4 - 1/24*z**3 + 1/4*z**2 + 1/80*z**5 - 4*z. Let j(x) be the first derivative of m(x). What is v in j(v) = 0?
-1, 1, 2
Let l = -97 - -155. Suppose -l*v = -37*v - 84. Suppose -8*m**2 + 0 - 2/5*m**v - 16/5*m**3 - 32/5*m = 0. What is m?
-4, -2, 0
Let y(g) be the third derivative of g**5/150 + 39*g**4/20 - g**2 + g + 1624. Let y(l) = 0. What is l?
-117, 0
Let j(a) = a**2 - 5326*a - 334052. Let u be j(-62). Determine d, given that 68/5*d + 44/5*d**4 - 24/5 - u*d**2 - 68/5*d**3 = 0.
-1, 6/11, 1
Let u be (-105)/70 + (-196)/(-56). Find k such that 0*k + 2/13*k**3 + 4/13*k**u + 0 = 0.
-2, 0
Let b(h) be the third derivative of h**5/30 + h**4/2 + 3*h**3 + h**2 - 141. Factor b(s).
2*(s + 3)**2
Suppose g = -3*l + 17 + 5, 286 = 10*g - 3*l. Let q(b) be the third derivative of 0 + 0*b + 1/60*b**5 + 3/2*b**3 - g*b**2 - 1/4*b**4. Find c such that q(c) = 0.
3
Let c(z) = -3*z**2 - 12*z - 3*z**2 + 3*z**2. Suppose -2*g + 35*g - 70 = -37*g. Let x(h) = h. Let o(w) = g*c(w) + 6*x(w). Suppose o(u) = 0. What is u?
-2, 0
Let x be (-45 - -47)*(-1 - 15). Let w be -4 + (-1)/6*x. Find n, given that 8/3*n - w*n**2 + 0 = 0.
0, 2
Let w(a) = a**3 - 3*a**2 - 6*a + 6. Let m be w(5). Solve -9*h - 32*h**3 - 15*h**2 - 71*h + 19*h**2 + 80*h**2 + m + 2*h**4 = 0 for h.
1, 13
Let x(b) = -b + 16. Let y be x(7). Determine k, given that -20*k**2 + 110*k**3 + y + 11 - 102*k**3 - 8*k = 0.
-1, 1, 5/2
Let d(j) be the second derivative of j**5/30 - 13*j**4/2 + 507*j**3 - 94*j**2 - 51*j. Let r(z) be the first derivative of d(z). Suppose r(b) = 0. Calculate b.
39
Let b(p) be the first derivative of 5 - 78*p - 2/3*p**3 - 40*p**2. Factor b(f).
-2*(f + 1)*(f + 39)
Let u(a) = a**3 - 79*a**2 - 361*a - 513. Let y(h) = -3*h**3 + 315*h**2 + 1446*h + 2052. Let p(f) = -15*u(f) - 4*y(f). Suppose p(d) = 0. Calculate d.
-19, -3
Let r be ((-15344)/(-480) - 32)/(-1*(-2)/(-6)). Let c(l) be the first derivative of -8 + 0*l - 1/20*l**4 - r*l**2 + 2/15*l**3. Suppose c(h) = 0. What is h?
0, 1
Suppose -6*y + 14 = -16. Factor -32*w**3 + 22*w**3 + 6*w**2 + y*w**4 - w**2 + 0*w**2.
5*w**2*(w - 1)**2
Let s(q) be the first derivative of q**3/7 - 1068*q**2/7 + 380208*q/7 + 4426. Find i such that s(i) = 0.
356
Let b(p) = -6*p**3 - 7*p. Let z(a) = -3*a**3 - 3*a. Suppose -182 = -28*u + 14. Let g(y) = u*z(y) - 3*b(y). Factor g(j).
-3*j**3
Let 822*s**2 - 29 - 802*s**2 + 9*s + 11 = 0. Calculate s.
-6/5, 3/4
Let l be (-8)/(-10)*170/(-68). Let b be ((l + 2)/(-6))/2. Determine w so that 4 - 10*w - 18*w**2 + 24*w**2 + b*w**3 + 2*w**3 - 2*w**4 = 0.
-2, 1
Let u(j) be the second derivative of j**5/30 - 85*j**4/12 - 193*j**3/9 - 43*j**2/2 - 1142*j. What is i in u(i) = 0?
-1, -1/2, 129
Let w(g) be the first derivative of g**3 + 293*g**2 - 17401*g + 83. Let s(k) = -8*k**2 - 1171*k + 34801. Let i(m) = -4*s(m) - 9*w(m). Factor i(l).
5*(l - 59)**2
Let a(l) be the first derivative of 1/50*l**5 + 62 + 3/5*l**2 - 4/15*l**3 - 1/40*l**4 + 0*l. Find o, given that a(o) = 0.
-3, 0, 2
Let k = -168 - -171. Let v be 8/4*k/39. Factor -68/13*s - 72/13*s**2 - 28/13*s**3 - 22/13 - v*s**4.
-2*(s + 1)**3*(s + 11)/13
Let r = 26851/15 - 1790. Let o(n) be the third derivative of -r*n**5 - 17*n**2 + 2/3*n**3 - 1/15*n**6 + 0*n + 1/3*n**4 + 0. Solve o(d) = 0.
-1, -1/2, 1
Solve -1/2*o**3 - 4500 - 750*o - 35*o**2 = 0.
-30, -10
Suppose 4*w - 4 = p + 4, 5*p - 8 = -4*w. Factor 5*b**3 + 3399 - 3399 - 10*b**w - 40*b.
5*b*(b - 4)*(b + 2)
Let m = 73 + -59. Suppose -p - 11 = -m. Factor 1/5*h**2 - 1/5*h**4 + 0 + 1/5*h - 1/5*h**p.
-h*(h - 1)*(h + 1)**2/5
Let w = -6511 - -39067/6. Let y(t) be the second derivative of 8*t - 2/5*t**2 + 0 + 11/15*t**3 - w*t**4. Factor y(k).
-2*(k - 2)*(5*k - 1)/5
Let s = -10465/3 - -73261/21. Determine x, given that s*x**3 + 8/7 - 2*x + 4/7*x**2 = 0.
-4, 1
Let b(v) = -10*v**4 - 56*v**3 - 50*v**2 - 20*v. Let j(t) = -2*t**4 - 11*t**3 - 10*t**2 - 4*t. Let y(d) = 3*b(d) - 16*j(d). Determine r, given that y(r) = 0.
-2, -1, 0
Factor -867 + 2569 + 5518 - 103*u - 277*u + 5*u**2.
5*(u - 38)**2
Factor -1/6*z**2 - 16/3*z - 31/6.
-(z + 1)*(z + 31)/6
Let q(t) = -2*t**2 + 102*t + 98. Let a(m) = -12*m**2 + 512*m + 491. Let j(x) = 4*a(x) - 22*q(x). Solve j(i) = 0.
-48, -1
Suppose 22 = 4*m + 6. Let d be ((-30)/(-12) - m)*16/(-6). Factor 27 - 32 - d*u - 11 + 2*u**2.
2*(u - 4)*(u + 2)
Let u(n) be the first derivative of 2*n**6/15 - 76*n**5/25 - 88*n**4/5 - 368*n**3/15 + 550. Factor u(y).
4*y**2*(y - 23)*(y + 2)**2/5
Let z(k) be the first derivative of -k**5/4 + 2*k**4 + 9*k**3 - 46*k**2 + 32*k - 454. Let z(o) = 0. What is o?
-4, 2/5, 2, 8
Let v be 20/(-9)*(-408)/2040. Solve v*r + 2/9*r**2 + 2/9 = 0.
-1
Suppose -5*w = -655*q + 651*q + 30, 7*w + 26 = 4*q. Find b, given that -10 + 25*b**w + 195/2*b = 0.
-4, 1/10
Let p(m) = 9*m**2 + 285*m + 4875. Let n(j) = -7*j**2 - 276*j - 4874. Let u(f) = -3*n(f) - 2*p(f). Factor u(x).
3*(x + 28)*(x + 58)
Let o(p) be the first derivative of 3*p + 86 - 1/2*p**2 + 1/4*p**4 - p**3. Factor o(r).
(r - 3)*(r - 1)*(r + 1)
Let t be (2/17)/(-26*(-267)/216359). Factor -t*o + 10/3 + 1/3*o**2.
(o - 10)*(o - 1)/3
Suppose 8 = 783*y - 779*y. Find f such that 168*f + 11*f**2 - 64 - 10*f**y - 21*f**2 = 0.
2/5, 8
Let j(a) be the second derivative of 7*a**6/40 + 51*a**5/20 + 21*a**4/2 + 10*a**3 - 48*a**2 - 62*a. Let y(b) be the first derivative of j(b). Factor y(v).
3*(v + 2)*(v + 5)*(7*v + 2)
Let x be (45 - (-46)/(-6))/7. Suppose 0 + 0*h - 2/3*h**3 - x*h**2 = 0. What is h?
-8, 0
Let c be ((-8)/3)/(350/(-3315)). Let l = c - 174/7. Factor -l*x - 4/5 + 2/5*x**2.
2*(x - 2)*(x + 1)/5
Let h(u) be the third derivative of u**6/180 - 2*u**5/15 + u**4 + 49*u**2 - 6. Factor h(d).
2*d*(d - 6)**2/3
Let y(b) be the second derivative of b**7 + 31*b**6/10 - 27*b**5/5 - 121*b**4/4 - 40*b**3 - 18*b**2 + 2244*b - 2. Suppose y(k) = 0. What is k?
-2, -1, -3/14, 2
Let k(l) be the third derivative of -l**6/4 - 163*l**5/12 - 1145*l**4/8 - 275*l**3/3 - 1100*l**2 + 2. Let k(a) = 0. Calculate a.
-22, -5, -1/6
Suppose 10 - 20 = 5*z. Let d be z/56*6*(-28)/21. Factor 2/7*b**2 + d + 4/7*b.
2*(b + 1)**2/7
Let g(w) be the third derivative of w**5/140 - 4*w**4/7 - 185*w**3/14 - 191*w**2 - 3. Find i, given that g(i) = 0.
-5, 37
Let w = 43/66 + 1/66. Let r(b) = -4*b**2 - 9*b + 187. Let l be r(-8). Solve 2/3*d**2 - 2/3*d**4 + 2/3*d**l - w*d**5 + 0*d + 0 = 0.
-1, 0, 1
Suppose -2/5*d**2 + 22/5*d - 48/5 = 0. What is d?
3, 8
Let d(i) be the second derivative of -5*i**7/42 + 5*i**6/6 + 31*i**5/2 - 595*i**4/6 - 3185*i**3/6 - 1715*i**2/2 + 2585*i. Let d(y) = 0. What is y?
-7, -1, 7
Factor 6912*w - 4320*w**2 - 576*w**5 + 575*w**5 - 98*w**4 - 764*w**3 - 1729*w**3.
-w*(w - 1)*(w + 3)*(w + 48)**2
Let k = 1230 - 1219. Suppose -46*v + k = -81. Find h, given that 6/5*h**3 + 0*h + 0 - 3/5*h**4 - 3/5*h**v = 0.
0, 1
Let p = 535809 - 535807. Solve -16/3 - 14/3*o**p + 2/3*o**3 + 28/3*o = 0.
1, 2, 4
Suppose 0 = -26*l + 33292 + 16082. Let g = 1903 - l. Factor -4/3*k**3 + 4/3*k + g*k**2 - 4.
-4*(k - 3)*(k - 1)*(k + 1)/3
Suppose -19*w + 2*w - 34 = 0. Let y be (3/2 - 4)/(w/4). Determine i so that i**2 - 64*i**4 + 54*i**4 - 5*i + 5*i**y + 9*i**2 = 0.
-1, 0, 1
Let g(j) be the first derivative of -2/3*j**3 - 32*j + 43 - 10*j**2. Suppose g(l) = 0. Calculate l.
-8, -2
Let g be 357/(-12) - 5/(-15)*-6. Let n = 129/4 + g. Solve n*s - 1/2*s**4 - 1/2*s**3 + 3/2*s**2 - 1 = 0 for s.
-2, -1, 1
Let b be 15 + (6 - 0) - (-1342)/(-66). Factor 4/3*t**2 + 0 + b*t**3 + 0*t.
2*t**2*(t + 2)/3
Let j(y) be the second derivative of 1/60*y**6 + 82*y + 0*y**2 - 1/6*y**3 + 0 + 1/20*y**5 - 1/24*y**4. Factor j(i).
i*(i - 1)*(i + 1)*(i + 2)/2
Let s = -268 - -270. Solve 7*t**2 - 23*t**s - 2*t**5 + 11*t**2 - 2*t**3 + 11*t**2 + 10*t**4 - 12*t**3 = 0.
0, 1, 3
Let h = 92 + -87. Let p be 45/54*10/h. Find g such that g**2 + 3*g + p - 1/3*g**3 = 0.
-1, 5
Solve 6528 - 13680*k - 2505/4*k**3 + 0*k**4 + 3/4*k**5 + 15555/2*k**2 = 0.
-34, 1, 16
Let s be (3/26)/(192/(-4096)). Let a = s - -193/52. Find h such that -a*h**2 + 5 + 15/4*h = 0.
-