v.
-7, -3, 1
Factor -49 - 39 - 4*b**3 - 44 - 3*b**3 + 3*b**3 - 124*b**2 + 260*b.
-4*(b - 1)**2*(b + 33)
Let o(d) be the second derivative of 1/42*d**5 - 1/63*d**4 + 0 + 0*d**2 + 15*d - 1/105*d**6 + 0*d**3. Factor o(k).
-2*k**2*(k - 1)*(3*k - 2)/21
Let j(i) = -11*i**3 - 22*i**2 + 37*i. Let p(d) = -2*d**2 - 2*d + 6. Let v(l) = -5*j(l) + 10*p(l). Let v(o) = 0. Calculate o.
-3, 4/11, 1
Let l(i) be the first derivative of -i**3/9 + 55*i**2 + 331*i/3 - 71. Suppose l(g) = 0. What is g?
-1, 331
Let y be -113 + 115 + 4/(-22) + (-13)/(-11). Let t(q) be the first derivative of -22 - 4/13*q**2 - 2/39*q**y - 6/13*q. Factor t(p).
-2*(p + 1)*(p + 3)/13
Let j(a) = 196*a**2 - 928*a - 12. Let n(w) = -w**3 + 191*w**2 - 928*w - 15. Let g(u) = -5*j(u) + 4*n(u). Factor g(v).
-4*v*(v - 4)*(v + 58)
Let p(j) be the second derivative of 33/25*j**6 + 0 + 8/5*j**2 + 29*j - 73/30*j**4 + 22/15*j**3 - 84/25*j**5. Solve p(k) = 0 for k.
-1/3, 4/11, 2
Factor -2/9*b**3 + 80/3*b + 14/9*b**2 + 0.
-2*b*(b - 15)*(b + 8)/9
Factor 236/19*h**2 + 2/19*h**3 + 458/19*h - 696/19.
2*(h - 1)*(h + 3)*(h + 116)/19
Suppose 13*o = 12*o + 67. Let p = o - 62. Factor -z**5 - 6*z**4 + 5*z**3 + 11*z**4 - p*z**2 - 4*z**5.
-5*z**2*(z - 1)**2*(z + 1)
Let m be 1/(-5) - (-147)/35. Let r be ((-15)/10)/(6/4) + m. Factor -2/15*u**5 + 0*u**2 + 4/15*u**4 + 0 + 0*u - 2/15*u**r.
-2*u**3*(u - 1)**2/15
Let m(h) be the second derivative of h**7/14 + 9*h**6/10 - 333*h**5/20 + 43*h**4/4 + 225*h**3 + 432*h**2 - 235*h. Solve m(o) = 0.
-16, -1, 3, 6
Let n(i) be the second derivative of -5/42*i**7 - 16*i + 10/3*i**3 + 10/3*i**4 + 0*i**2 + 1 - 1/3*i**6 + 3/4*i**5. What is j in n(j) = 0?
-2, -1, 0, 2
Let h = -12815/1508 - -247/29. Let u(z) be the third derivative of 2*z**2 - h*z**4 + 4/39*z**3 + 0 - 1/390*z**5 + 0*z. Determine w, given that u(w) = 0.
-4, 1
Let o = 1201/168 - 319/168. Solve -6*q**2 - o*q - 3/2*q**3 - 3/2 + 3/2*q**4 + 3/4*q**5 = 0 for q.
-1, 2
Let 280/3 + 46/3*f - 2/3*f**2 = 0. Calculate f.
-5, 28
Let g(d) = 6*d - 33. Let u(z) = -16*z + 134. Let o be u(8). Let r be g(o). Suppose -8/9 + 2/9*t**2 + 2/9*t**r - 8/9*t = 0. What is t?
-2, -1, 2
Find k, given that -241*k - 2412 + 2657*k - 118*k**2 + 38*k**2 + 35*k**2 + 41*k**2 = 0.
1, 603
Let x be (102 - 102)/((4/(-10))/(3/45)). Let y(i) be the third derivative of 0*i**5 + 1/204*i**4 + 0*i**3 + x - 1/1020*i**6 + 0*i + 9*i**2. Factor y(o).
-2*o*(o - 1)*(o + 1)/17
Factor -15315140*s**4 + 31668*s - 6409*s**2 - 10841*s**2 + 3*s**5 + 15314948*s**4 + 3603*s**3 - 20184.
3*(s - 29)**2*(s - 2)**3
Let w(i) be the third derivative of -2*i**7/945 + 7*i**6/1080 - i**5/270 - i**4/216 + 4*i**2 - 104. Factor w(v).
-v*(v - 1)**2*(4*v + 1)/9
Suppose 0 = 5*d + 4*n - 1209, -5*d + 479 = -3*d - 3*n. Factor d*m**3 + 3*m - 246*m**3 - 22 + 30*m**2 - 8 + 2*m.
-5*(m - 6)*(m - 1)*(m + 1)
Let a(k) be the first derivative of 16/3*k**3 + 1/6*k**4 + 48*k**2 + 0*k - 92. Solve a(b) = 0.
-12, 0
Let l(z) be the third derivative of 0*z**3 + 1/105*z**7 - 7*z**2 + 1/5*z**6 + 16/3*z**4 + 8/5*z**5 - 9 + 0*z. Factor l(u).
2*u*(u + 4)**3
Suppose 0*c - 109 = 3*c - 2*m, 184 = -5*c + m. Let g = -28 - c. Factor -15*s + s**3 - 15*s**2 - 6*s**3 - g + 4.
-5*(s + 1)**3
Let 2558*v + 1/3*v**2 + 4907523 = 0. Calculate v.
-3837
Factor -1638 + 572*b**2 - 1461*b**2 + 887*b**2 + 552*b.
-2*(b - 273)*(b - 3)
Let h be ((-18)/(-20088))/((-4)/(-2968)). Let d = h - -1/558. Factor 0 + d*n**2 + 2/9*n + 2/3*n**3 + 2/9*n**4.
2*n*(n + 1)**3/9
Suppose v - 172 = 8*s - 4*s, 160 = -4*s - 2*v. Let b be ((-36)/s)/(4/14). Factor 149*m - 150*m + 2*m**2 + 2*m**3 - 3*m**b.
-m*(m - 1)**2
Let g = 5384/7 + -21515/28. Let i(f) be the third derivative of -g*f**3 + 1/480*f**6 + 1/60*f**5 + 0*f + 19*f**2 - 1/32*f**4 + 0. What is q in i(q) = 0?
-3, 2
Let -120/7*p + 3/7*p**5 - 300/7 + 39/7*p**4 + 213/7*p**2 + 165/7*p**3 = 0. What is p?
-5, -2, 1
Suppose c - 8*l + 5*l - 165 = 0, 2*l - 646 = -4*c. Let d be (18/c)/(3/36). Determine m so that d*m**2 + 5/3*m**3 + 0 + 2/3*m**4 + 1/3*m = 0.
-1, -1/2, 0
Let d(u) = 39*u**4 - 2*u**3 + 16*u**2 - 20*u. Let z(g) = -10*g**4 + g**2 - g. Let r(s) = -d(s) - 4*z(s). Factor r(p).
p*(p - 2)**2*(p + 6)
Suppose 4*l + 6*k - 10 = 4*k, -3 = 3*l + 5*k. What is i in l*i**2 + 0*i**2 - 41*i + 150 - 24*i - 5*i**2 - 4*i**2 = 0?
-15, 2
Let b(w) be the first derivative of -3*w**4/20 - 9*w**3/5 + 6*w**2/5 + 288*w/5 - 2654. Suppose b(t) = 0. What is t?
-8, -4, 3
Let y(m) be the first derivative of 7*m**5 - 25*m**4/4 - 80*m**3/3 - 10*m**2 - 7028. Solve y(r) = 0.
-1, -2/7, 0, 2
Let x(w) be the third derivative of -w**7/210 - w**6/24 + w**5/15 + 11*w**4/6 + 8*w**3 - 2174*w**2. Suppose x(s) = 0. What is s?
-4, -2, 3
Suppose 10 = 5*l + 5*q, 2*q = 3*l + q - 14. Suppose -2*f + 5 = a, -l*f - 6*a + 12 = -2*a. Determine w so that -1/9*w**f - 8/9*w - 16/9 = 0.
-4
Let b = -5329 + 15988/3. Let x(h) be the second derivative of -4*h**2 - 2*h**3 - b*h**4 - 21*h + 0. Factor x(u).
-4*(u + 1)*(u + 2)
Let l = -9226996/9 - -1025222. Factor -l*p**4 + 0 + 4/9*p**3 + 8/9*p + 14/9*p**2.
-2*p*(p - 4)*(p + 1)**2/9
Let c(z) be the third derivative of 52*z**2 - 35/3*z**3 + 0 - 1/12*z**5 + 25/8*z**4 + 0*z. Solve c(p) = 0.
1, 14
Suppose 1286 = 111*l - 109*l. Let t = l - 639. Factor -2/5 + 8/5*g - 12/5*g**2 + 8/5*g**3 - 2/5*g**t.
-2*(g - 1)**4/5
Suppose -2*b + z = 2115, 13*b = 9*b - 4*z - 4212. Let s = b + 1061. Factor -1/2*g**3 + 0*g + 1/2*g**s - 2*g**4 + 0 + 2*g**2.
g**2*(g - 4)*(g - 1)*(g + 1)/2
Let d be -5 + 17/(-1)*(-38)/114. Suppose -4*n = -4*l - 8*n + 8, 3*l - n - 6 = 0. Suppose -l*k + d - 2*k**4 + 4/3*k**2 + 2/3*k**5 + 4/3*k**3 = 0. Calculate k.
-1, 1
Let p be ((-48)/(-4) - 19)*2/(-70). Let h(j) be the first derivative of -p*j + 3/20*j**2 - 1/30*j**3 + 14. Factor h(o).
-(o - 2)*(o - 1)/10
Let m(z) = -12*z**2 + 133*z - 128. Let q be m(10). Let n(y) be the second derivative of 0 + 26*y + 0*y**3 + 1/4*y**4 - 3/2*y**q. Suppose n(p) = 0. What is p?
-1, 1
What is q in -5/3*q**3 - 55/3*q - 10 - 10*q**2 = 0?
-3, -2, -1
Let j(h) be the first derivative of -h**6/90 + h**5/5 - 5*h**4/6 - h**3 + 2*h - 185. Let c(u) be the third derivative of j(u). Let c(q) = 0. Calculate q.
1, 5
Let r = -4179 - -16717/4. Factor 3/4*h**2 - 1 + 0*h + r*h**3.
(h - 1)*(h + 2)**2/4
Let d = -1597 + 1491. Let n be 48 + -40 + d/14. Factor -5/7*k**2 + 1/7*k**3 - n + k.
(k - 3)*(k - 1)**2/7
Find d, given that -1420*d**2 + 485*d - 15*d**5 + 205*d**4 - 180*d - 520*d**3 + 511*d - 238*d + 542*d = 0.
-2, 0, 2/3, 7, 8
Suppose -2*b - 23 = -3*p - 4*b, -2*b = -4*p + 12. Suppose p*i + 12 = 5*o + 2, 0 = -3*o + i + 10. Factor 12*r**3 - 12*r**2 + 4*r + 26*r**4 - 19*r**4 - 11*r**o.
-4*r*(r - 1)**3
Suppose 3*q - 6 = 4*u, -5*q = -734*u + 751*u - 152. Factor -1/4*n**4 - 2*n**3 + q*n - 3/2*n**2 - 25/4.
-(n - 1)**2*(n + 5)**2/4
Determine o so that -75*o**4 + 152*o - 34 - 152*o**3 - 31 + 112 + 71*o**2 - 43 = 0.
-2, -1, -2/75, 1
Let z(g) = -g + 13. Let q be z(11). Suppose 15 = 4*i + 2*d - 3, 3*i + 4 = q*d. Factor y - 9*y + 6*y**i - 2*y**2.
4*y*(y - 2)
Suppose -10*z = 50*z. Let d = -1164 - -1166. Solve 0*q**4 - 1/4*q**3 + 1/4*q**5 + 0*q + z + 0*q**d = 0.
-1, 0, 1
Let p(u) be the second derivative of -u**2 - 1/8*u**4 + 1/20*u**5 - u**3 + 0 + u. Let r(t) be the first derivative of p(t). Factor r(o).
3*(o - 2)*(o + 1)
Let d(l) be the third derivative of 83*l**6/80 + 17*l**5/8 - 41*l**4/4 - l**3 - 717*l**2. Factor d(b).
3*(b - 1)*(b + 2)*(83*b + 2)/2
Suppose 0 = 71*j + 243 + 396. Let b be 25/15*j/(-21). Determine i, given that 0*i**3 + 1/7*i**4 - b*i**2 + 0*i + 4/7 = 0.
-2, -1, 1, 2
Let k(t) = -6*t**2 - 48*t - 10. Let y(b) = 24 + 7 - 34 - 16*b - 2*b**2. Let o(x) = -3*k(x) + 10*y(x). Determine n so that o(n) = 0.
-8, 0
Let r(g) be the first derivative of 3*g**4/2 + 130*g**3/3 + 282*g**2 + 320*g - 4435. Factor r(u).
2*(u + 5)*(u + 16)*(3*u + 2)
Suppose 5*p = 4*d + 1302, 34*d = 3*p + 38*d - 762. Let l = p + -254. Solve 84*z**l + 44*z**3 + 49/2*z**5 - 48*z**2 + 0 + 8*z = 0 for z.
-2, 0, 2/7
Let p(q) be the third derivative of -q**7/504 + q**6/144 + q**5/12 - 55*q**4/24 + q**3/3 + 83*q**2. Let f(h) be the second derivative of p(h). Factor f(n).
-5*(n - 2)*(n + 1)
Let b(u) = 6*u**2 + 8*u + 10. Let v be (-36)/(-96) - (-148)/32. Let j(c) = -5*c**2 - 8*c - 11. Let g(r) = v*j(r) + 4*b(r). Factor g(a).
-(a + 3)*(a + 5)
Let a be