*k**3*(k + 1)**2/11
Find y, given that 1668*y**3 + 215*y**2 - 835*y**4 + 6*y - 7*y + 41*y + 1682*y**3 - 3595*y**2 = 0.
0, 2/167, 2
Let d = -56498/5 - -56542/5. Factor -46/5*q + 2/5*q**2 + d.
2*(q - 22)*(q - 1)/5
Let s(j) be the third derivative of 0*j + 10/3*j**3 + 0 + 152*j**2 - 1/10*j**5 - 13/12*j**4 + 1/105*j**7 + 1/12*j**6. Factor s(a).
2*(a - 1)**2*(a + 2)*(a + 5)
Let r be 1191/12110 - (-12)/(-20). Let f = -2/1211 - r. Find s, given that -f*s - 7/4*s**4 + 0 + 7/4*s**2 + 1/2*s**3 = 0.
-1, 0, 2/7, 1
Let x(g) = -27*g**2 - 4143*g - 408. Let s(u) = -11*u**2 - 1657*u - 170. Let c(t) = 12*s(t) - 5*x(t). Suppose c(p) = 0. What is p?
-277, 0
Determine x so that -4*x**3 - 232*x + 2*x**3 + 214*x**2 + 7*x**3 + 90 - 261*x = 0.
-45, 1/5, 2
Let o = 1/454392 + 908771/5907096. What is h in 10/13*h - 48/13 + o*h**2 = 0?
-8, 3
What is k in 1/6*k**2 + 2312/3 - 68/3*k = 0?
68
Determine q, given that 0 - 144/5*q**2 - 1/5*q**3 + 592/5*q = 0.
-148, 0, 4
Let o(m) be the first derivative of -20 - 22*m - 2/3*m**3 + 12*m**2. What is n in o(n) = 0?
1, 11
Let n(l) = -5*l**3 - l**2 + 5*l + 1. Let z(i) = -i + i + 5*i - 2*i - 3*i**3. Let c = -156 - -162. Let g(k) = c*n(k) - 11*z(k). Factor g(r).
3*(r - 2)*(r - 1)*(r + 1)
Let k(x) be the first derivative of 98*x**6 - 2464*x**5/3 + 2248*x**4/3 + 8320*x**3/9 + 224*x**2 - 3061. Solve k(a) = 0.
-2/7, 0, 14/9, 6
Suppose 3*b - 12 = 6*b, -x = -b - 281. Solve -675*g - 201*g**2 - x*g + 60*g**2 + 1586*g**2 + 500 - 748*g = 0 for g.
10/17
Let l(b) be the second derivative of 2 - 27*b + 0*b**3 + 0*b**2 + 3/8*b**4 + 3/80*b**5. Solve l(h) = 0 for h.
-6, 0
Find o, given that -204*o**3 - 254*o**3 - 177*o**4 + 161 - 251 - 465*o**2 - 732*o**2 + 2697*o - 775*o**3 = 0.
-5, -3, 2/59, 1
Let k(l) = 26*l - 23*l + 92*l - 30 - 25. Let s(p) = 47*p - 28. Let c(b) = 2*k(b) - 5*s(b). Let q(x) = -x**2 + x - 1. Let h(v) = -c(v) - 25*q(v). Factor h(t).
5*(t + 1)*(5*t - 1)
Let z(v) be the first derivative of -20*v - 10*v**2 + 85 + 5/3*v**3 + 5/4*v**4. Determine k, given that z(k) = 0.
-2, -1, 2
Suppose 73*h - 1560 = -1341. Let 4/11*c**h - 2/11*c**5 - 24/11*c**2 + 0 + 16/11*c + 6/11*c**4 = 0. What is c?
-2, 0, 1, 2
Let n = 206 + -204. Factor 25 + 60*l**n - 10*l**3 - 8*l**4 - 101*l + 3*l**4 + 31*l.
-5*(l - 1)**3*(l + 5)
Let b(c) be the first derivative of -8*c**2 - 7/2*c**3 - 8*c + 8 - 11/16*c**4 - 1/20*c**5. Factor b(p).
-(p + 1)*(p + 2)*(p + 4)**2/4
Suppose 0 = 4*s - 5*o - 448, -4*o - 224 = -0*s - 2*s. Suppose 6*n - 2*n = s. Factor -n*x - 11*x**3 - 18*x**3 - 12 - 20*x**2 + 25*x**3.
-4*(x + 1)**2*(x + 3)
Let m be (-32940)/(-342) + 72/(-228). Let q(p) be the third derivative of 0 - m*p**3 + 4*p**4 + 0*p + 43*p**2 - 1/15*p**5. Determine s, given that q(s) = 0.
12
Factor 204/5*b**2 + 0 + 1/10*b**3 + 0*b.
b**2*(b + 408)/10
Let a(k) be the third derivative of k**6/540 - k**5/60 - k**4/9 - 101*k**3/6 - 2*k**2 + 45*k. Let c(y) be the first derivative of a(y). Factor c(s).
2*(s - 4)*(s + 1)/3
Let y be ((-1)/(-150))/(1210/30250). Factor -7/6*h**3 - 1/6*h**4 + 9/2*h - 3 - y*h**2.
-(h - 1)**2*(h + 3)*(h + 6)/6
Let c(a) be the first derivative of 2*a**3/21 - 440*a**2/7 + 96800*a/7 - 1032. Factor c(k).
2*(k - 220)**2/7
Let l(x) be the second derivative of x**5/60 - 46*x**4/9 - 374*x**3/9 - 376*x**2/3 - 3691*x. Factor l(q).
(q - 188)*(q + 2)**2/3
Let u(y) = y**2 - 255*y - 1435. Let s(q) = q**2 + q + 25. Let w(j) = -3*s(j) - u(j). Solve w(x) = 0.
-5, 68
Let o(z) be the first derivative of 41 + 0*z - 16/9*z**3 - 1/6*z**4 - 7/3*z**2. Let o(n) = 0. What is n?
-7, -1, 0
Let y(a) = a**2 + a. Let t(p) = 4*p**2 - 13*p - 24. Let w(q) = t(q) - 5*y(q). Let m(z) = z**2 - 2*z. Let o(k) = -m(k) + w(k). Suppose o(f) = 0. What is f?
-6, -2
Suppose -25*h - 724*h**3 - 61*h + 115*h**4 - 696*h**2 - 55*h - 14*h**5 - 3*h - 301*h**4 = 0. Calculate h.
-6, -1, -2/7, 0
Factor -81*z**2 - 15/2*z**3 + 1/2*z**4 + 0 + 88*z.
z*(z - 22)*(z - 1)*(z + 8)/2
Let x = -1835 + 1838. Let o(h) be the second derivative of 0*h**4 + 9*h + 0*h**x + 1/135*h**6 + 0*h**2 + 1/45*h**5 + 0. Find t, given that o(t) = 0.
-2, 0
Let h(t) = 3*t**2 + 834*t - 1614. Let n(p) = -2*p**2 - 836*p + 1625. Let s(d) = -5*h(d) - 6*n(d). Suppose s(o) = 0. Calculate o.
2, 280
Let p(y) be the second derivative of 1/16*y**4 - 1/20*y**5 + 0 + 0*y**2 - 4/3*y**3 - 1/48*y**6 - 4*y. Let l(w) be the second derivative of p(w). Factor l(r).
-3*(r + 1)*(5*r - 1)/2
Let g = -2019/485 + 462/97. Let s(w) be the first derivative of 3/2*w**4 + 0*w - g*w**5 + w**3 - 3*w**2 + 22. Factor s(b).
-3*b*(b - 2)*(b - 1)*(b + 1)
Solve 1572 - 2*v**2 + 843*v - 19*v**2 - 1974*v - 3194*v - 1171*v = 0 for v.
-262, 2/7
Let s(r) = -1376*r - 163740. Let z be s(-119). Let 43/8*w**3 - 3375/4 + 2025/8*w + 1/8*w**z + 585/8*w**2 = 0. What is w?
-15, 2
Solve 3/7*p + 0 + 783/7*p**2 = 0.
-1/261, 0
Let h = 908 + -888. Factor 17*u**2 - 4 - 6*u + 8 - h*u**2 - 4.
-3*u*(u + 2)
Suppose 4*p - s - 276 = -6*s, 4*p = -s + 276. Factor 16*t + 32*t**2 - p*t**2 + 35*t**2.
-2*t*(t - 8)
Let y(p) = -48*p**3 - 1191*p**2 + 1227*p + 2370. Let t(x) = -7*x**3 - 170*x**2 + 175*x + 338. Let o(j) = 27*t(j) - 4*y(j). Factor o(f).
3*(f - 2)*(f + 1)*(f + 59)
Let a(s) = 86*s + 693. Let j(r) = -r**3 - 5*r**2 + 13*r + 34. Let v be j(-6). Let b be a(v). Factor -2/3*n**b + 0*n - 2/3*n**3 + 0*n**2 + 0 + 4/3*n**4.
-2*n**3*(n - 1)**2/3
Find o such that -53/3*o**2 - 1/3*o**3 - 33*o + 51 = 0.
-51, -3, 1
Let t be ((-70)/21)/(-5)*3. Factor -b**2 - 174*b - b**t + 2536 - 105 + 92 + 5*b**2.
3*(b - 29)**2
Suppose 60 + 52 = 14*l. Suppose 25 = l*y + 25. Let -18*f**3 + 0*f**2 + 3*f - 10*f**5 + 26*f**4 - 2*f**2 + f + y*f**3 = 0. Calculate f.
-2/5, 0, 1
Let d(s) be the second derivative of -8/39*s**3 + 4/13*s**2 + 0 - 7/78*s**4 + 13*s + 1/26*s**5. Let d(g) = 0. What is g?
-1, 2/5, 2
Let k(v) = v**3 + 13*v**2 - 849*v - 10330. Let t be k(-12). Solve 16/3 - 12*z + 28/3*z**t + 1/3*z**4 - 3*z**3 = 0.
1, 2, 4
Let f = 592 - 592. Let u(y) be the third derivative of 31*y**2 + 1/20*y**5 + f*y + 0 - 1/4*y**4 + 1/2*y**3. Factor u(h).
3*(h - 1)**2
Let w(n) be the third derivative of -n**7/30 + 163*n**6/120 - 10*n**5/3 + 11*n**4/6 - 9*n**2 - 157. Factor w(r).
-r*(r - 22)*(r - 1)*(7*r - 2)
Solve -55/2*r + 21 + 7*r**2 - 1/2*r**3 = 0 for r.
1, 6, 7
Let j = 232 - 227. Factor 2*v**j - 14*v**3 + 58*v**4 + 20*v**2 + 67*v**4 - 133*v**4.
2*v**2*(v - 5)*(v - 1)*(v + 2)
Let t(b) = -28*b**2 - 1543*b - 163. Let k be t(-55). Factor 30/7 + 2/7*i**3 + 62/7*i + 34/7*i**k.
2*(i + 1)**2*(i + 15)/7
Let k(m) = 26*m**2 + 10661*m + 10644. Let v(i) = -345*i**2 - 138595*i - 138370. Let g(l) = -40*k(l) - 3*v(l). Factor g(p).
-5*(p + 1)*(p + 2130)
Suppose -4*x + y + 313 = 0, -6*x + x - 3*y = -370. Determine m so that 10*m + 4*m**4 - 32*m**4 + 176*m**3 - 272*m**2 - 23*m + x*m = 0.
0, 2/7, 2, 4
Let k(b) be the third derivative of -b**7/1470 - b**6/42 - 13*b**5/105 + 20*b**4/7 - 96*b**3/7 - b**2 - 1151*b. Determine l, given that k(l) = 0.
-12, 2
Let c(u) = u**3 + 2*u**2 - 5*u + 2. Let x(o) = 2*o**3 + o**2 - 6*o + 3. Suppose 7*v = -3*v + 30. Let r(d) = v*c(d) - 2*x(d). Solve r(a) = 0 for a.
0, 1, 3
Solve 136/21*p - 2/21*p**4 + 44/21*p**3 + 0 - 178/21*p**2 = 0.
0, 1, 4, 17
Let o(j) be the second derivative of -j**7/21 + 82*j**6/15 - 342*j**5/5 + 333*j**4 - 657*j**3 + 1302*j + 2. Factor o(r).
-2*r*(r - 73)*(r - 3)**3
Let o(u) be the third derivative of u**7/945 - 7*u**6/135 + 8*u**5/15 - 68*u**4/27 + 176*u**3/27 - 1604*u**2. Let o(r) = 0. What is r?
2, 22
Let c be (-23)/(391/2) - 87/(-17). Let n(z) be the third derivative of -5*z**3 + 0*z + 0 + 5/24*z**4 + 1/12*z**c - z**2. Let n(f) = 0. What is f?
-3, 2
Let o(d) = 20*d - 577. Let a = 1621 - 1592. Let r be o(a). Determine h, given that -3/5*h**r - 24/5*h + 0 + 27/5*h**2 = 0.
0, 1, 8
Let g(i) = i**2 - 13*i + 2. Let h(v) = 20*v**2 - 332*v + 384. Let t(n) = -24*g(n) + h(n). Factor t(s).
-4*(s - 7)*(s + 12)
Let a(y) be the third derivative of y**5/12 + 47*y**4/24 - 5*y**3 - 269*y**2. Let a(i) = 0. Calculate i.
-10, 3/5
Factor -972 + 1974*z**2 + 2128*z**3 - 454 + 323 - 85 + 801*z - 2143*z**3.
-3*(z - 132)*(z + 1)*(5*z - 3)
Let k(c) = 2*c**2 - 2*c + 6. Let o(l) = 7*l**2 + 32*l + 558. Let d(q) = 5*k(q) - o(q). What is v in d(v) = 0?
-8, 22
Suppose 64*n = 2334 + 1186. Let j be (5 + n/(-10))*-10. Factor -9/5*x**3 + 7/5*x**2 + 0 +