z**5 - 2/3*z**4 - 20/3*z**2 + 4*z**3 + 41 + 14/3*z. Factor j(r).
-2*(r - 1)**3*(r + 7)/3
Let b = -91 - -107. Suppose 0 = 2*o + 3*s - 7*s - b, -o = 3*s + 7. Let 0*q**2 + 18*q + 15 - 2*q**o + 0 + 5*q**2 = 0. Calculate q.
-5, -1
Let b(z) = z**3 - 5*z**2 + z - 1. Let s be b(5). Suppose -i - 2 + s = 0. Factor -15*g - 10*g**i + 20*g - 5*g**2.
-5*g*(3*g - 1)
Let f be (89/(-1))/(1/(-1)). Let r = f - 42. Solve -16 - 8*s + r*s**3 + 8*s**2 + s**4 + 7*s**2 - 39*s**3 = 0.
-4, -1, 1
Let i be ((-2264)/12)/(2/(-3)). Suppose -46 = 31*j - 54*j. Factor -283*f + i*f - 4*f**3 - j*f**4.
-2*f**3*(f + 2)
Factor -29 + 1 + 42 - 91*i - 9*i + 111 + 15*i**2.
5*(i - 5)*(3*i - 5)
Suppose -107*n - 176*n + 212 = -76*n - 202. What is l in -7/2*l**4 - 17/2*l**n + 3*l + 0 + 1/2*l**5 + 17/2*l**3 = 0?
0, 1, 2, 3
Suppose 22*s - 615 + 417 = 0. Let m(i) be the third derivative of 0 - i**3 + 0*i - 5/8*i**4 + s*i**2 - 1/40*i**6 - 1/5*i**5. Factor m(j).
-3*(j + 1)**2*(j + 2)
Let l(h) be the first derivative of 4/21*h**3 - 46/7*h**2 - 96/7*h - 62. Let l(d) = 0. Calculate d.
-1, 24
Let z(s) be the first derivative of 4*s**3/27 + 6568*s**2/9 + 10784656*s/9 + 3128. Factor z(x).
4*(x + 1642)**2/9
Let b be 3 + (-1616)/(-12)*(-6)/(-4). Let n be -5 + b/30 - (-1)/(-6). Factor n*x**2 + 10/3*x + 0 - 5/3*x**3.
-5*x*(x - 2)*(x + 1)/3
Let x be 41/((-4428)/5004) - -53. Let 20/3*d**3 - 20/3*d + 4 + 8/3*d**4 - x*d**2 = 0. What is d?
-3, -1, 1/2, 1
Let m(a) be the first derivative of 12 + 0*a - 4/3*a**3 + a**2 + 0*a**4 - 1/3*a**6 + 4/5*a**5. Let m(c) = 0. What is c?
-1, 0, 1
Let n(y) = y**3 + 12*y**2 + 10*y - 7. Let i be n(-11). Factor -42 + 12*z + 24*z - i*z + 14 - 4*z**2.
-4*(z - 7)*(z - 1)
Let x(v) be the second derivative of v**4/6 + 40*v**3/3 + 364*v**2 + 17*v - 14. Factor x(r).
2*(r + 14)*(r + 26)
Let i(r) be the second derivative of 0*r**2 - 1/21*r**7 + 0 + 11/30*r**5 + 8/9*r**4 - 4/45*r**6 - 18*r + 4/9*r**3. What is x in i(x) = 0?
-2, -1, -1/3, 0, 2
Let u(h) be the second derivative of -h**6/60 - 3*h**5/8 - 71*h**4/24 - 43*h**3/4 - 18*h**2 - 2037*h - 2. Factor u(v).
-(v + 1)*(v + 3)**2*(v + 8)/2
Suppose -42*x - 98 = -118*x + 358. Let b(l) be the first derivative of 4/5*l**5 + x*l**2 + 0*l + 11 + 5*l**4 + 28/3*l**3. Factor b(y).
4*y*(y + 1)**2*(y + 3)
Factor 292*c**2 - 42*c - 1001/2*c**3 - 49/2*c**4 + 0.
-c*(c + 21)*(7*c - 2)**2/2
Factor -514/11 - 2/11*l**2 - 516/11*l.
-2*(l + 1)*(l + 257)/11
Let f(m) be the third derivative of m**5/210 + m**4/28 - 10*m**3/3 + 16*m**2 - 33*m. Factor f(r).
2*(r - 7)*(r + 10)/7
Let u(y) be the first derivative of -5*y**4/16 - 55*y**3/6 - 525*y**2/8 - 180*y + 1335. Let u(p) = 0. Calculate p.
-16, -3
Let r be 21*(-38)/798 + 19. Factor 18*b + r + 2/3*b**3 + 6*b**2.
2*(b + 3)**3/3
Let u(k) be the first derivative of -3*k**3 + 86 + 0*k + 3*k**2 + 3/4*k**4. Factor u(l).
3*l*(l - 2)*(l - 1)
Let p be ((-48)/(-14))/((-1242)/(-33327)). Let -p*z**2 - 4/3*z**4 - 400/3 - 56/3*z**3 - 560/3*z = 0. Calculate z.
-5, -2
Suppose 14*o - 350 = -56. Suppose 16*n - o*n - 5*m = -20, -8 = 4*n - 2*m. Find c such that -3/5*c**4 + n*c**2 - 1/5*c**3 + 0 - 2/5*c**5 + 0*c = 0.
-1, -1/2, 0
Solve 570 + 427 + 6876*a - 1526 - 28*a**3 - 2008*a**2 - 1271 = 0.
-75, 2/7, 3
Let c be 18/(-36) - (-95)/76. Let m(y) be the second derivative of -52*y + 0 + 3/32*y**4 - c*y**2 + 1/240*y**6 + 1/12*y**3 - 3/80*y**5. Factor m(s).
(s - 3)*(s - 2)**2*(s + 1)/8
Let w(l) = -2*l**2 - 148*l + 289. Let k(u) = 2*u**2 + 148*u - 292. Let f(a) = -5*k(a) - 4*w(a). Let f(z) = 0. What is z?
-76, 2
Suppose 3*n = 9, 7*v + 4*n = 4*v + 18. Let -2*p**v - 72*p - 882 + 47*p - 59*p = 0. Calculate p.
-21
Let a(y) be the first derivative of -y**6/90 + 209*y**3/3 + 159. Let p(j) be the third derivative of a(j). Factor p(t).
-4*t**2
Let r(i) be the first derivative of -i**4/8 + 649*i**3/6 + 1301*i**2/4 + 651*i/2 + 5287. Factor r(f).
-(f - 651)*(f + 1)**2/2
Let k be (-2)/(-24)*13*244/1586. Let r(f) be the first derivative of -16 + 1/8*f**2 + 1/16*f**4 + 0*f + k*f**3. Factor r(v).
v*(v + 1)**2/4
Let l = 138696 - 138691. Find p, given that 0 - 2/3*p - 38/9*p**4 + 8/9*p**l - 10/9*p**2 + 46/9*p**3 = 0.
-1/4, 0, 1, 3
Let m(p) be the first derivative of p**6/30 - 47*p**5/25 + 204*p**4/5 - 2016*p**3/5 + 6912*p**2/5 + 20736*p/5 - 10207. Find u such that m(u) = 0.
-1, 12
Let h(y) be the first derivative of 5*y**3/3 - 2550*y**2 - 15345*y + 11944. Factor h(o).
5*(o - 1023)*(o + 3)
Let i be (-15)/45*(-27)/(-6) + (-21)/(-6). What is s in 1/6*s**i + 5/6*s + 1 = 0?
-3, -2
Suppose -797*q - a + 14 = -787*q, 4*q + 52 = -4*a. Let f = -36 + 75/2. Factor f*b**q - 6*b + 2 - 1/2*b**2.
(b - 2)*(b + 2)*(3*b - 1)/2
Let n be (3/(-15))/((-39)/585). Suppose 15 = -n*y, -3*g - y - 20 = -24. Let 0*u**2 - 6*u + 8 + 1/2*u**g = 0. What is u?
-4, 2
Let f(o) be the third derivative of 1/4*o**3 - 7/48*o**4 + 10*o**2 - 1/240*o**6 + 3*o + 1/24*o**5 + 0. Factor f(r).
-(r - 3)*(r - 1)**2/2
What is f in 2/9*f**4 - 5150/9*f + 572/3 + 1718/3*f**2 - 574/3*f**3 = 0?
1, 858
Let k(l) be the first derivative of -l**3 + 495*l**2 - 987*l - 1044. Determine c so that k(c) = 0.
1, 329
Suppose 56*b - 87 = 42*b - 15*b. What is i in -11*i - i**3 + 19/3*i**2 + b = 0?
1/3, 3
Let b be 1*112/(-21)*9/6. Let y be 10/b - (-112)/32. Solve -1/2 + 11/4*x**2 - y*x = 0 for x.
-2/11, 1
Let d = -17473 - -17473. Let m(b) be the third derivative of 0*b**3 + 0*b**4 + 0*b - 1/60*b**5 - 37*b**2 + d. Factor m(r).
-r**2
Let m = 94 - 89. Let j = -47 - -82. Find u, given that -35 + j - m*u**3 + 20*u**2 - 15*u = 0.
0, 1, 3
Let d(z) be the third derivative of z**6/150 + 364*z**5/75 + 361*z**4/10 + 3*z**2 - z + 24. Factor d(o).
4*o*(o + 3)*(o + 361)/5
Let i(g) be the third derivative of g**6/30 - 11*g**5/15 + 4*g**4 + 24*g**3 + 768*g**2 - 1. Solve i(d) = 0.
-1, 6
Let s(x) be the second derivative of x**4/42 + x**3 + 68*x**2/7 - 4*x - 135. Factor s(p).
2*(p + 4)*(p + 17)/7
Let u(n) = -5*n - 11. Let d be u(-3). Suppose -s = -1, d*f - 6 = -4*s + 6. Suppose x**2 + 6*x + 12 - 29*x**3 + 27*x**3 - 48 + 7*x**f = 0. Calculate x.
-2, 3
Let s(i) = i**2 + 18*i + 58. Let p be s(-14). Factor 9*w - 4 + 5/2*w**p.
(w + 4)*(5*w - 2)/2
Suppose 2*i - 2 = -2552*l + 2548*l, 0 = i + 3*l + 3. Factor -39/4*a - 3/4*a**2 - i.
-3*(a + 1)*(a + 12)/4
Let o(x) be the second derivative of -3/20*x**5 - 16 - 3/2*x**4 + x - 6*x**3 - 12*x**2. Solve o(h) = 0 for h.
-2
Determine f, given that 259 + 575*f**2 - 635 - 288*f**2 - 284*f**2 - 272 - 18*f = 0.
-12, 18
Let y = 28297/80620 - 4/4031. Let z(s) be the first derivative of -5 + y*s**2 + 1/5*s - 3/10*s**3. Suppose z(h) = 0. Calculate h.
-2/9, 1
Let w(s) = 3*s**3 - 6*s**2 - 597*s + 560. Let i(q) = -7*q**3 + 13*q**2 + 1195*q - 1101. Let z(g) = -2*i(g) - 5*w(g). What is l in z(l) = 0?
-23, 1, 26
Let n(d) be the first derivative of 60*d - 5/3*d**3 - 10*d**2 - 88. Let n(h) = 0. What is h?
-6, 2
Let q be (88 - -3467)*-1*(-4)/(-10). Let y be 9/(-12) + q/(-360). Factor -4/5*n + y - 2/5*n**2.
-2*(n - 2)*(n + 4)/5
Let t(s) be the third derivative of s**8/672 + 2*s**7/105 - 17*s**6/240 - s**5/2 + 9*s**4/4 - 5*s**2 - 53*s. Factor t(d).
d*(d - 2)**2*(d + 3)*(d + 9)/2
Let s = -90814 - -90818. Factor 64/15*i**2 + 0 + 32/15*i + 16/15*i**s + 16/5*i**3 + 2/15*i**5.
2*i*(i + 2)**4/15
Solve -12862592/3*s - 5072/3*s**2 - 32619533312/9 - 2/9*s**3 = 0 for s.
-2536
Suppose 41 = 8*h + 1. Let i(s) = -54*s**2 + 47*s**2 + 7*s**3 + 4 - 4. Let y(n) = -3*n**3 + 4*n**2. Let x(u) = h*y(u) + 2*i(u). Factor x(f).
-f**2*(f - 6)
Determine f, given that 0 - 6*f**3 + 0*f + 1/4*f**4 + 0*f**2 = 0.
0, 24
Let c(j) be the third derivative of -j**8/1344 - j**7/210 + j**6/240 + j**5/30 - j**4/96 - j**3/6 - 1817*j**2. Suppose c(o) = 0. What is o?
-4, -1, 1
Let n = 984091/3 + -328030. Suppose 26/3*c - n*c**2 - 169/3 = 0. Calculate c.
13
Let l(u) = -16*u**2 - 9518*u + 11452826. Let w(c) = -c**2 + 3*c - 4. Let j(b) = l(b) - 18*w(b). Factor j(r).
2*(r - 2393)**2
Let p(i) = -107*i**2 + 54*i**2 + 52*i**2 + 6*i + 7*i - 3. Let l(q) = q + 1. Let g(r) = 3*l(r) + p(r). Factor g(d).
-d*(d - 16)
Factor -574/3*w + 196 - 44/9*w**2 + 2/9*w**3.
2*(w - 42)*(w - 1)*(w + 21)/9
Factor -31/4*k + 1/2*k**2 - 4.
(k - 16)*(2*k + 1)/4
Factor -7/2*k**3 - 3/2*k + 4*k**2 + 0 + k**4.
k*(k - 1)**2*(2*k - 3)/2
Factor 21*l**2 - 535 - 4*l**2 - 6*l**2 - 1173*l - 8*l**2 - 4205.
3*(l - 39