*z = 3*q - 6. Factor -162*a**z - r*a + 2*a**2 + 168*a**3 - 5*a**2.
3*a*(a - 1)*(2*a + 1)
Suppose h + 6*h + 28 = 14*h. Let u(f) be the second derivative of 2/5*f**5 + 0 + 1/15*f**6 + 1/2*f**4 - 4/3*f**3 - h*f**2 - 5*f. What is z in u(z) = 0?
-2, -1, 1
Suppose 2*p + 5 = 83. Factor -23*c**5 - 19*c**5 + p*c**5 - 3*c**2 - 216 + 45*c**3 + 33*c**2 - 180*c.
-3*(c - 3)**2*(c + 2)**3
Let f = -1655861/7208110 - 17/7921. Let t = f - -27/70. Factor 4/13*u - t*u**2 - 2/13.
-2*(u - 1)**2/13
Let q(v) be the third derivative of -13/75*v**5 - 1/525*v**7 - 11/300*v**6 + 0*v - 3*v**2 + 0*v**3 - 4/15*v**4 + 55. Factor q(n).
-2*n*(n + 1)*(n + 2)*(n + 8)/5
Let v(j) = 5*j - 16. Let o be v(4). Factor 47*k**5 - 42*k**5 - 10*k**2 + 0*k**4 + 10*k**o - 5*k**3.
5*k**2*(k - 1)*(k + 1)*(k + 2)
Let o(f) be the second derivative of -f**5/90 - 13*f**4/9 - 676*f**3/9 + 115*f**2/2 + 2*f - 55. Let b(p) be the first derivative of o(p). What is x in b(x) = 0?
-26
Let k(f) = 51*f**3 - 84*f**2 + 18*f + 132. Let y(w) = -w**4 + 44*w**3 - 84*w**2 + 18*w + 133. Let g(a) = -2*k(a) + 3*y(a). Factor g(m).
-3*(m - 5)*(m - 3)**2*(m + 1)
Let d(j) be the third derivative of 0*j - 51*j**2 + 0*j**3 + 1/15*j**6 + 0 + 1/15*j**5 + 0*j**4. Solve d(k) = 0.
-1/2, 0
Let w(m) be the first derivative of -3/4*m**4 - 23 + 0*m + 0*m**2 - 3*m**3. Find z such that w(z) = 0.
-3, 0
Factor -500/3 - 125/3*s**2 - 1/6*s**4 - 150*s - 9/2*s**3.
-(s + 2)*(s + 5)*(s + 10)**2/6
Let k(s) = -s**3 - 11*s**2 + 15*s + 315. Let m be k(-8). Find b such that -3*b**2 - 9/4*b + 27/2 + 3/4*b**m = 0.
-2, 3
Let b(t) = -t**2 + 148. Let m be b(13). Let j(x) = x**3 + 19*x**2 - 44*x - 39. Let n be j(m). Determine k so that -1/9*k**n - 8/9 + 4/9*k + 2/9*k**2 = 0.
-2, 2
Let n be (-2)/7 - -16*8/7. Let x(f) = 149*f**2 - 12*f - 17. Let k(d) = 37*d**2 - 3*d - 4. Let l(o) = n*k(o) - 4*x(o). What is h in l(h) = 0?
-1/5, 2/7
Let m(a) be the second derivative of -a**4/3 - 929*a**3/3 - 464*a**2 + 25*a - 85. Suppose m(t) = 0. Calculate t.
-464, -1/2
Let y(p) be the third derivative of p**7/1575 - p**6/900 - 11*p**5/450 + p**4/20 + 2*p**3/5 + 3*p**2 + 215*p. Suppose y(n) = 0. Calculate n.
-3, -1, 2, 3
Let h be (30/(-20))/((-6)/8). Let r be (28 + (-3825)/150)*(-2)/(-10). Solve -1/4*u**3 + 0 + 1/4*u**h + r*u = 0.
-1, 0, 2
Solve -1944 + 1/2*f**3 + 756*f - 75/2*f**2 = 0.
3, 36
Let h be (-1001)/1560 + (8 - (-198)/(-27)). Let n(j) be the second derivative of -h*j**5 + 1/8*j**4 - 2 - j + 1/4*j**2 - 1/4*j**3. Factor n(q).
-(q - 1)**3/2
Let o = 31/173 - 5407/31140. Let s(c) be the third derivative of 0 + o*c**6 - 18*c**2 + 5/36*c**4 + 2/9*c**3 + 2/45*c**5 + 0*c. Suppose s(f) = 0. Calculate f.
-2, -1
Let c(v) be the third derivative of v**5/510 + 233*v**4/204 - 316*v**3/17 + 811*v**2 + 3*v + 2. Factor c(p).
2*(p - 4)*(p + 237)/17
Suppose 68*j - 1362 - 122 = -38*j. Solve -4*o + 0 + 6*o**4 - 2/3*o**5 + 38/3*o**2 - j*o**3 = 0 for o.
0, 1, 6
Factor -3/8*o**3 - 309 + 615/2*o - 303/4*o**2.
-3*(o - 2)**2*(o + 206)/8
Let d be (93 + -105)*(-1622)/16. Let i = d + -1215. Find a such that -3/2*a**3 + 3/2*a - 3/2 + i*a**2 = 0.
-1, 1
Let g(x) be the first derivative of x**6/480 + x**5/10 - 17*x**4/32 - 14*x**3/3 + 25. Let m(k) be the third derivative of g(k). Factor m(u).
3*(u - 1)*(u + 17)/4
Let f(a) be the second derivative of -3*a**5/140 + 23*a**4/14 - 129*a**3/14 + 373*a. Factor f(g).
-3*g*(g - 43)*(g - 3)/7
Factor 7/5*l + 3/2 - 1/10*l**2.
-(l - 15)*(l + 1)/10
Let g(l) be the second derivative of l**7/5040 + l**6/288 + 5*l**4/6 + 5*l**3/6 + 84*l. Let h(v) be the third derivative of g(v). Factor h(w).
w*(w + 5)/2
Let n(s) be the second derivative of s**4/8 + 347*s**3/2 + 361227*s**2/4 - 35*s - 11. Factor n(k).
3*(k + 347)**2/2
Let g(n) be the second derivative of 3*n**5/20 - 41*n**4/4 + 299*n**3/2 + 1023*n**2/2 - n - 578. Let g(b) = 0. What is b?
-1, 11, 31
Let p(h) be the third derivative of 0*h - 1/24*h**3 - 1/40*h**5 - 4*h**2 - 1/120*h**6 - 1/24*h**4 - 1/840*h**7 - 10. Factor p(k).
-(k + 1)**4/4
Let f be 62/186*((-462)/(-30) - 10). Determine b, given that -f*b**2 - 6/5 + 3*b = 0.
2/3, 1
Suppose 0*z + 24 = 4*z. Suppose -j + z = -4. Let 5*y - 8*y**4 + 10*y**3 + 3*y**4 + y**5 + 0*y**4 - 1 - j*y**2 = 0. What is y?
1
Let j be (1/(-1))/((-253)/(-22) - 12). Solve 12 + 27*x**5 - 252*x**4 - 698*x**j + 735*x**3 + 0 - 103*x + 359*x - 44 = 0 for x.
1/3, 2/3, 4
Let r(k) be the second derivative of k**4/18 + 314*k**3/9 + 24649*k**2/3 - 305*k. Factor r(d).
2*(d + 157)**2/3
Determine v, given that -20*v - 208 - 5*v**2 - 5*v - 2*v**2 + 5*v**2 - 185*v = 0.
-104, -1
Let h = -527633 - -527636. Let 18/13*a**h - 50/13*a + 0 + 30/13*a**2 + 2/13*a**4 = 0. Calculate a.
-5, 0, 1
Let a be 8/(-6)*(-60)/40. Factor -10*c**2 + 22*c**3 + 2*c - 18*c**4 - 7*c**a + 18*c**3 + 2*c**4.
-c*(c - 2)*(4*c - 1)**2
Let b(i) = -140*i + 975. Suppose m = -5*t + 4, -5*t = 3*m - 4*m - 6. Let f(v) = v**2 + 1. Let j(q) = m*b(q) - 5*f(q). Determine x, given that j(x) = 0.
14
Let q be 17/(3 - -1 - 3). Let r(i) be the first derivative of -25*i**3 + 15 + q*i**3 + 12*i + 11*i**3 - 12*i**2. Solve r(z) = 0.
2/3, 2
Let f(i) be the first derivative of 3/8*i - 1/8*i**3 - 33 + 0*i**2. Find n, given that f(n) = 0.
-1, 1
Let u(v) be the third derivative of v**8/420 - v**7/35 + 4*v**6/45 - 31*v**3/6 - 39*v**2. Let d(l) be the first derivative of u(l). Find k such that d(k) = 0.
0, 2, 4
Let j(d) be the second derivative of d**6/24 - 287*d**5/80 - 11*d**4/3 + 29*d**3/6 + 1878*d. Let j(m) = 0. Calculate m.
-1, 0, 2/5, 58
Factor -3/7*p**4 - 45*p**3 - 78033/7*p - 10323/7*p**2 + 911754/7.
-3*(p - 6)*(p + 37)**3/7
Find o such that 4572714*o**2 + 5805511 + 5*o**4 + 12576791*o**2 + 34770457*o - 526957*o + 18510*o**3 + 11306989 = 0.
-1850, -1
Let k(b) be the second derivative of 3*b**5/2 + 265*b**4/12 + 165*b**3/2 - 45*b**2 + 546*b. Factor k(h).
5*(h + 3)*(h + 6)*(6*h - 1)
Suppose 743*q + 648*q - 3002 - 2562 = 0. Suppose 2/13*y**q + 0 + 0*y + 4/13*y**2 + 6/13*y**3 = 0. Calculate y.
-2, -1, 0
Let t(v) be the second derivative of -v**7/168 + 67*v**6/30 - 3749*v**5/16 + 53059*v**4/24 - 52007*v**3/6 + 17161*v**2 + 2535*v. Factor t(z).
-(z - 131)**2*(z - 2)**3/4
Let j(p) be the first derivative of -24*p + 4 + 2/3*p**3 - 1/2*p**4 + 8*p**2. Factor j(k).
-2*(k - 2)**2*(k + 3)
Let k(f) be the first derivative of 3*f**5/4 + 621*f**4/16 + 118*f**3 + 117*f**2/2 - 993. Solve k(i) = 0 for i.
-39, -2, -2/5, 0
Let f(v) = -8*v**3 + v**2 + v - 1. Let h be f(-1). Suppose -52 = h*b - 360. Find s such that b*s**3 - 24*s**3 - 3*s**4 - 22*s**3 + 2*s**2 + 3*s - s**5 + 1 = 0.
-1, 1
Let h = -45275 + 45277. Suppose 12/7 + 4/7*k**3 - 20/7*k + 4/7*k**h = 0. Calculate k.
-3, 1
Let n(k) be the first derivative of -4*k**3/3 + 7*k**2/22 + 1395. Suppose n(r) = 0. What is r?
0, 7/44
Let d = 1871 + -1836. Suppose 5*j = s + 61, 3*j - 30*s - d = -31*s. Factor -j*u**3 - 3/2*u - 24*u**4 + 21/2*u**2 + 0.
-3*u*(u + 1)*(4*u - 1)**2/2
Suppose n + 5*j = -1, 2*n - 1 = -2*j + 5. Let -2*v - v**n + 2*v + 2*v**3 - 19327*v**2 + 19326*v**2 = 0. Calculate v.
0, 1
Let w be ((-3948)/(-126) + -36)*1/7*-2. Factor -w*r**3 + 4/3*r - 16/3 + 16/3*r**2.
-4*(r - 4)*(r - 1)*(r + 1)/3
Let v be (4/9)/(2*11/198). Let f(y) be the second derivative of v*y - 1/3*y**4 + 0 + 2*y**2 + 1/3*y**3 - 1/10*y**5. Factor f(w).
-2*(w - 1)*(w + 1)*(w + 2)
Let n = 6599/30 + -1201/6. Let v = n + -97/5. Determine l so that 4/5*l**2 - 2/5 + 0*l - v*l**4 + 0*l**3 = 0.
-1, 1
Let n = -79390/7 + 79419/7. Solve n*g - 1/7*g**2 - 4 = 0 for g.
1, 28
Let s(n) be the second derivative of -n**4/30 - 976*n**3/5 - 2143296*n**2/5 + 5970*n. Determine l, given that s(l) = 0.
-1464
Let j(i) be the first derivative of -7*i**2 - 1/4*i**4 - 3*i**3 + 24*i + 200. Factor j(d).
-(d - 1)*(d + 4)*(d + 6)
Factor -1/4*u**2 - 177241 - 421*u.
-(u + 842)**2/4
Let t = -219 - -233. Let a(c) = 6*c**2 + 10*c - 9. Let z(i) = -2*i**2 - 3*i + 3. Let w(b) = t*z(b) + 4*a(b). What is f in w(f) = 0?
-3/2, 1
Let o = -73 + 93. Let d(c) = -41*c - o*c**2 + 26 - 30 - 32 - 8*c**3. Let b(g) = -g**3 - g**2 + g. Let s(t) = 21*b(t) - 3*d(t). Suppose s(n) = 0. Calculate n.
-6, -1
Let o be 7 + (-115)/2*(-64)/80. Suppose 3*v - o = -t - 51, 2*v + 2 = t. Find y, given that 0*y - 2*y**3 + 4/3*y**4 + 0 + 2/3*y**t = 0.
0, 1/2, 1
Factor 49 + 330*s + 965 + 1497*s**2 - 1492*s**2 + 226