*q**4/3 - q - 188. Determine t so that k(t) = 0.
-8, -4, -1, 0
Solve 1012*w + 2827*w**2 - 1411*w**2 + 45251 - 1415*w**2 + 127872 + 82913 = 0 for w.
-506
Let n(g) be the third derivative of g**7/42 + 13*g**6/24 + 47*g**5/12 + 175*g**4/24 + 2862*g**2. Suppose n(r) = 0. What is r?
-7, -5, -1, 0
Let t(j) = 2*j + 2*j**2 - 2*j. Let s(u) = u**2 + 5*u - 2. Suppose -49*x + 427 = 476. Let v(d) = x*s(d) + 2*t(d). Find g, given that v(g) = 0.
2/3, 1
Let s(q) be the second derivative of 0*q**4 + 1/4*q**5 - 22 + 5/42*q**7 + q + 0*q**2 + 0*q**3 - 1/3*q**6. Suppose s(h) = 0. Calculate h.
0, 1
Let h(o) be the third derivative of o**6/90 - o**5/3 + 8*o**4/3 - 15*o**3/2 - 32*o**2. Let m(v) be the first derivative of h(v). Find s, given that m(s) = 0.
2, 8
Solve 26*g**2 + 388*g**2 - 49*g**3 + 52*g**3 = 0 for g.
-138, 0
Let b(w) be the first derivative of -5/3*w**3 + 55*w - 89 + 25*w**2. Factor b(m).
-5*(m - 11)*(m + 1)
What is r in 32/3 + 152/3*r + 68/3*r**2 = 0?
-2, -4/17
Let n(s) = 2*s**3 + 113*s**2 - 56*s + 55. Let p be n(-57). Let a be p/(-15)*(-396)/(-88). Let -36/5*k - a*k**2 - 108/5 = 0. What is k?
-6
Let f(h) be the first derivative of -6*h - 183 - 8/3*h**2 + 2/9*h**3. Factor f(g).
2*(g - 9)*(g + 1)/3
Let b(s) = s**3 + s + 2. Suppose -34 = 3*h + 5*a, -4 = 5*h - 2*a + 1. Let o(f) = -2*f**3 + 23*f**2 - f - 2. Let x(k) = h*b(k) - 3*o(k). Factor x(m).
3*m**2*(m - 23)
Let p(r) = -r**3 + 390*r**2 - 15218*r - 262. Let x be p(44). Factor -2/5*k**2 - x*k + 4/5*k**3 - 4/5.
2*(k - 2)*(k + 1)*(2*k + 1)/5
Let j be 189/(-1470)*(-5)/30. Let q(m) be the second derivative of -9/7*m**2 - 2/7*m**4 + 5*m + 13/14*m**3 + j*m**5 + 0. Factor q(n).
3*(n - 6)*(n - 1)**2/7
Let k = 19 + -16. Let h be (3 - 0) + k*4/6. Factor -2*n**5 - 6*n**4 + 8*n**5 + 13*n**3 + n**2 - 13*n**2 + 4*n - h*n**5.
n*(n - 2)**2*(n - 1)**2
Let 1161/7*y**3 + 99/7*y**4 + 5469/7*y**2 + 3/7*y**5 + 6336/7*y - 13068/7 = 0. What is y?
-11, -6, 1
Let y(p) = 4*p**4 + 72*p**3 + 96*p**2 - 224*p - 368. Let v(u) = -u**3 - u**2 - 1. Let o(j) = -16*v(j) - y(j). Suppose o(h) = 0. Calculate h.
-12, -2, 2
Let -14/5*n**3 - 12/5*n + 0 - 2/5*n**4 + 2/5*n**5 + 26/5*n**2 = 0. What is n?
-3, 0, 1, 2
Let z = 308097/4 + -77024. Factor -c**2 + 5/4*c - z.
-(c - 1)*(4*c - 1)/4
Let g(c) = 11*c + 23. Let x(m) = -4*m - 8. Let j(v) = 4*g(v) + 14*x(v). Let o be j(-3). Solve 12 + 116*u**2 - 51*u - 56*u + 43*u - 80*u**3 + o*u**4 = 0 for u.
1/2, 1, 3
Let q(j) = j**2 + 22*j + 98. Let m be q(-16). Solve -66*p**2 - 6*p**4 + 12*p + 118*p**m + 37*p**3 + 13*p**4 = 0.
-3, -2, -2/7, 0
Let q be ((-8)/(-5))/((30/150)/((-72)/(-168))). Factor 0 - 108/7*d**3 - 2/7*d**5 - 216/7*d**2 - 162/7*d - q*d**4.
-2*d*(d + 3)**4/7
Let c(r) be the third derivative of -r**6/120 - r**5/6 - 11*r**4/8 - 6*r**3 + 3*r**2 - 384*r. Solve c(w) = 0 for w.
-4, -3
Factor 16*o**2 - 206*o - 528125 - 21*o**2 - 3044*o.
-5*(o + 325)**2
Let y(a) = -a**3 + a**2. Let s(l) = -2*l**3 + 11*l**2 - 409*l + 400. Let m(j) = 4*s(j) - 12*y(j). Suppose m(x) = 0. What is x?
-25, 1, 16
Determine s, given that -660*s**3 + 234*s**3 - 200 - 1003*s**3 + 84*s + 1685*s**2 - 374*s + 69*s**3 + 240*s**4 = 0.
-1/4, 2/3, 5/4, 4
Let o = 126 + -12. Let -179 + 3*h**2 + 1105 + 212 - o*h - 55 = 0. What is h?
19
Let a(h) be the second derivative of -h**5/40 - 73*h**4/8 - 109*h**3/6 + 2770*h. What is n in a(n) = 0?
-218, -1, 0
Let f(y) be the first derivative of -11/2*y**2 + 1/6*y**4 + 0*y + 17 - 1/15*y**5 + 0*y**3. Let w(t) be the second derivative of f(t). Factor w(s).
-4*s*(s - 1)
Factor -2/5*u**2 - 336/5*u + 2816/5.
-2*(u - 8)*(u + 176)/5
Let m(o) be the second derivative of -26/15*o**4 - 2*o**3 + 2 + 16/5*o**2 + 8*o - 3/25*o**5. Let m(s) = 0. What is s?
-8, -1, 1/3
Let k(u) be the third derivative of u**6/480 + 23*u**5/20 + 529*u**4/2 + 97336*u**3/3 - 245*u**2. Suppose k(z) = 0. Calculate z.
-92
Let p(w) be the third derivative of w**5/15 + 11*w**4/3 + 38*w**3 + 739*w**2. Determine n so that p(n) = 0.
-19, -3
Let r(i) be the third derivative of -i**6/300 + 43*i**5/150 - 26*i**4/3 + 80*i**3 - 95*i**2 - 3. Factor r(b).
-2*(b - 20)**2*(b - 3)/5
Let c(a) = -70*a**2 - 10660*a + 3020. Let x(k) = 14*k**2 + 2130*k - 604. Let o(j) = -2*c(j) - 11*x(j). Factor o(p).
-2*(p + 151)*(7*p - 2)
Let y = -13170 + 13173. Let m(r) be the second derivative of 17*r + 1/10*r**5 + 1/3*r**4 - 2*r**2 - 1/3*r**y + 0. What is x in m(x) = 0?
-2, -1, 1
Determine v, given that -50/7*v - 750/7 + 2/7*v**3 + 30/7*v**2 = 0.
-15, -5, 5
Let r(n) be the first derivative of 4 + 0*n**2 + 1/8*n**3 + 20*n - 1/48*n**4. Let k(g) be the first derivative of r(g). Determine a, given that k(a) = 0.
0, 3
Let y(s) be the second derivative of s + 5/18*s**3 + 1/36*s**4 - s**2 - 4. Factor y(u).
(u - 1)*(u + 6)/3
Suppose 350 = -8*g + 374. Let z(y) be the second derivative of 0*y**2 + 2/21*y**7 - 2/3*y**3 + 2/3*y**4 - g*y - 4/15*y**6 + 0 + 0*y**5. What is n in z(n) = 0?
-1, 0, 1
Solve -8160*m - 47*m**3 + 4854*m**2 + 65600 + 43*m**3 - 4530*m**2 = 0.
20, 41
Let n(t) = -54*t**3 + 2123*t**2 - 4367*t + 1782. Let i(c) = 18*c**3 - 708*c**2 + 1455*c - 585. Let l(v) = -8*i(v) - 3*n(v). Factor l(s).
3*(s - 37)*(2*s - 3)*(3*s - 2)
Let v(x) be the third derivative of -x**5/240 + 43*x**4/32 - 127*x**3/12 - 375*x**2. Factor v(j).
-(j - 127)*(j - 2)/4
Suppose 20*g**3 - 302*g**5 + 304*g**5 + 50*g**2 + 46*g**4 - 4*g**3 - 114*g**3 = 0. What is g?
-25, 0, 1
Let a(y) be the third derivative of y**5/180 + 4*y**4/9 + 128*y**3/9 - y**2 - 180*y. Factor a(f).
(f + 16)**2/3
Let g = 635 + -261. Let d = -374 + g. Factor -2/7*h**3 + 0*h + d*h**2 + 0.
-2*h**3/7
Let n(q) be the third derivative of q**6/40 + 143*q**5/80 - 63*q**4/4 + 117*q**3/8 - 3*q**2 - 175. Let n(k) = 0. What is k?
-39, 1/4, 3
Let c(l) be the third derivative of -3*l**7/455 - 277*l**6/260 - 953*l**5/195 - 361*l**4/39 - 120*l**3/13 - 609*l**2. Suppose c(o) = 0. What is o?
-90, -1, -2/3
Let s(y) be the first derivative of -6*y**5/5 - 85*y**4 - 74*y**3 + 56*y**2 - 1510. Suppose s(c) = 0. What is c?
-56, -1, 0, 1/3
Let c(o) be the first derivative of 3*o**4/16 + 11*o**3 - 717*o**2/8 + 441*o/2 - 3341. Determine i, given that c(i) = 0.
-49, 2, 3
Suppose 4*u - 4 = 5*u. Let y be (6/u)/(2/(-4)). Determine r, given that -304*r**5 - 321*r**5 - 1683*r**4 - 1425*r**y - 1317*r**4 + 4990*r**2 + 360 - 2460*r = 0.
-3, 2/5
Let -1/6*b**4 + 88/3 + 1/2*b**3 + 34*b + 34/3*b**2 = 0. Calculate b.
-4, -2, 11
Let z(r) be the second derivative of -16*r**2 + 65*r - 52/3*r**3 + 2 - 4/5*r**5 - 25/3*r**4 + 2/5*r**6. Find q, given that z(q) = 0.
-1, -2/3, 4
Suppose 3*g - 181 = -8*a + 10*a, -3*g + 5*a + 178 = 0. Suppose g*n = 50*n + 22. Factor -28/3*m**n - 8/3*m + 0 + 16/3*m**3.
4*m*(m - 2)*(4*m + 1)/3
Let z(w) be the third derivative of w**7/105 + w**6/2 - 16*w**5/15 - 5*w**4/2 + 31*w**3/3 + 46*w**2 + 4*w. Solve z(p) = 0.
-31, -1, 1
Solve -7*f**3 + 273*f - 9*f**4 + 6*f**2 + 15*f**3 - 265*f - 11*f**3 + 8*f**4 = 0.
-4, -1, 0, 2
Let a = -248 + 683. Let s = 439 - a. Solve 2/5 + 3/5*c**2 - 1/5*c**s - c + 1/5*c**3 = 0 for c.
-2, 1
Let g(u) be the first derivative of 24 - 4/5*u**5 - 4*u**4 + 0*u - 20/3*u**3 - 4*u**2. Determine f, given that g(f) = 0.
-2, -1, 0
Let d(i) = -17*i**3 + 6*i**2 + 11*i + 9. Let s be d(-2). Find r such that 33*r**3 - 26 - 39*r + 2 + s*r + 126*r**2 = 0.
-2, 2/11
Let u(m) be the first derivative of m**3/3 - 1448*m**2 + 2096704*m + 3584. Factor u(v).
(v - 1448)**2
Suppose 0 = 521*p + 1781*p - 568*p - 3468. Factor -8 + 49/2*d - 1/2*d**4 - 51/2*d**p + 19/2*d**3.
-(d - 16)*(d - 1)**3/2
What is t in 140/19 + 18/19*t - 2/19*t**2 = 0?
-5, 14
Let q(g) be the second derivative of -g**4/28 - 164*g**3/7 - 2925*g**2/14 - 14390*g. Factor q(h).
-3*(h + 3)*(h + 325)/7
Suppose 0 = 17*h + 7*h - 1224. Factor -2*z**5 + 7*z**5 + 120*z**3 + h*z**4 + 29*z + 30 + 86*z - 11*z**4 + 170*z**2.
5*(z + 1)**3*(z + 2)*(z + 3)
Let k be (-1126984)/(-249168) + (-4)/174. Suppose 51/8*o**2 + k*o - 15/8 = 0. Calculate o.
-1, 5/17
Determine k so that -2092*k + 75*k + 4981*k + 827 - k**3 + 738*k**2 + 2141 = 0.
-2, 742
Suppose 185*h = 210*h - 2*i - 57, -h + 3*i = 24. Factor 0 + 2/3*p**2 + 4/9*p + 2/9*p**h.
2*p*(p + 1)*(p + 2)/9
Let h be (-58)/87*(-6 - 0). Find t, given that -12*t**3 - 4*t - 3*t**h + 235*t**2 - 135*t**2 - 2*t - 115*t**2 = 0.
-2, -1, 0
Suppose -4072*g - x + 7 = -4