)*(u + 5)
Let j(b) be the second derivative of -2*b + 33/4*b**4 + 84 - 81/40*b**5 + 2*b**2 - 19/3*b**3. Factor j(v).
-(v - 2)*(9*v - 2)**2/2
Let s(x) be the first derivative of -x**6/2 + 87*x**5/5 + 141*x**4/2 + 64*x**3 + 1477. What is g in s(g) = 0?
-2, -1, 0, 32
Solve 1/2*j**2 + 0 - 53*j = 0.
0, 106
Let z(l) = -334*l**2 + 3*l + 1. Let d be z(-1). Let o = d + 338. Solve -2/9*c + 4/9 - 4/9*c**o + 2/9*c**3 = 0 for c.
-1, 1, 2
Solve 111*x - 60 - x**2 - 50*x - 78*x = 0.
-12, -5
Let t(p) = 5*p + 207. Let m be t(-38). Let l(j) be the second derivative of m*j + 0*j**3 + 0 - 1/3*j**4 + 8*j**2. Determine s so that l(s) = 0.
-2, 2
Let y(z) be the second derivative of z**6/15 - 2*z**5/5 + 2*z**4/3 + 271*z. Let y(s) = 0. Calculate s.
0, 2
Let o(r) = r**3 + 9*r**2 + 36*r + 48. Let i(d) = -5*d**3 - 39*d**2 - 145*d - 192. Let g(a) = 4*i(a) + 18*o(a). Factor g(f).
-2*(f - 8)*(f + 2)*(f + 3)
Let n be (-16)/(5/2*16/(-100)). Let h = -38 + n. Factor 5*m**3 - 3*m**h - 6*m - 3*m**3 + m**3.
3*m*(m - 2)*(m + 1)
Let j(g) be the first derivative of -g**6/2 - 33*g**5 + 171*g**4/2 - 2*g**3 - 339*g**2/2 + 171*g + 148. Find p such that j(p) = 0.
-57, -1, 1
Let m(w) be the second derivative of 178*w - 4/3*w**2 - 19/9*w**3 + 0 - 1/18*w**6 - 8/15*w**5 - 19/12*w**4. Solve m(b) = 0.
-4, -1, -2/5
Suppose -4*y = 3*m - 195 - 252, 0 = -4*y - 12. Let q = -8 - -13. Find h such that 20*h**2 - 3 + q*h**3 + 168*h + 3 - m*h = 0.
-3, -1, 0
Let f be 2/(-11) + 24/11. Suppose -21*d = -c - 18*d + 12, 4*d = -3*c - 3. Factor -5*i + 9*i**3 + 3*i**c - 15*i**f + 2*i + 9*i - 3*i**4.
-3*i*(i - 2)*(i - 1)**2
Let u(c) be the third derivative of -43*c**5/110 + 5*c**4/11 + 7986*c**2. Find w such that u(w) = 0.
0, 20/43
Suppose 0 = -i + 2 + 8. Let n = 12 - i. Factor -16*c - n*c**3 + 0*c - 9*c - 20*c**2 + 7*c**3.
5*c*(c - 5)*(c + 1)
Let i(x) be the second derivative of x**6/30 - 199*x**5/60 - 15*x**4/4 + 67*x**3/18 - 1927*x. Find t, given that i(t) = 0.
-1, 0, 1/3, 67
Let a(f) = f**3 + 527*f**2 + 522*f - 6. Let k(r) = 10*r**3 + 6325*r**2 + 6265*r - 75. Let l(p) = 25*a(p) - 2*k(p). Find i, given that l(i) = 0.
-104, -1, 0
Let b(g) = -7*g**2 - 109*g + 233. Let v(w) = -3*w**2 - 54*w + 114. Let t(y) = -6*b(y) + 13*v(y). Factor t(z).
3*(z - 14)*(z - 2)
Find i, given that -1465 + 1465*i**2 - 2*i**3 - 4*i**3 + i**3 + 3*i**3 + 5*i - 3*i**3 = 0.
-1, 1, 293
Let f be ((6/(-4))/((92 - 47)/45))/(1/(-2)). Factor 22/13 + 60/13*m**2 + 16/13*m**f + 64/13*m - 2/13*m**4.
-2*(m - 11)*(m + 1)**3/13
Suppose 314 - 62 = 126*s. Factor -5/2*o + s*o**2 - 3.
(o - 2)*(4*o + 3)/2
Let g(q) be the third derivative of q**7/1050 + q**6/120 - 253*q**5/300 - 2057*q**4/120 + 2*q**2 - 9*q + 35. Let g(n) = 0. What is n?
-11, 0, 17
Let c(i) be the second derivative of -i**7/98 + 8*i**6/35 + 3*i**5/140 - 4*i**4/7 + 6276*i. Solve c(o) = 0 for o.
-1, 0, 1, 16
Let a(j) be the first derivative of j**4/12 - 5*j**3/6 + 3*j**2 + 71*j + 28. Let u(o) be the first derivative of a(o). Factor u(c).
(c - 3)*(c - 2)
Solve -30*p + 146*p - 8*p**3 + 21*p**2 - 62*p + 5*p**3 = 0 for p.
-2, 0, 9
Let z = 636375 + -3181863/5. Let -13/5 - z*a + 1/5*a**2 = 0. What is a?
-1, 13
Let j be 11/4 + 1 + 21/84. Suppose 0*u = u + 5*n - 47, 2*u - 64 = -j*n. Suppose 0*p**4 + 10*p**3 + 18*p**2 - 18 + u + 14*p + p**4 + p**4 = 0. What is p?
-2, -1
Solve 5106/7*g**2 + 3/7*g**4 + 204/7*g**3 + 31941 + 7956*g = 0 for g.
-21, -13
Suppose 0 = -4*i - 8 + 12. Let c be (-3)/9 + i + 350/15. Factor 38 + 4*r**2 - r**2 + 10 - c*r.
3*(r - 4)**2
Let f be 160/35 - (-8)/(-2). Let l be ((-174)/(-1653))/(1/19). Factor -f*a - 3/7 - 1/7*a**l.
-(a + 1)*(a + 3)/7
Suppose 1300 = 169043*x - 168978*x. Factor 1/2*u**2 - x*u + 200.
(u - 20)**2/2
Suppose 1580 - 15*b + 1580 + 2*b**2 - 3153 = 0. What is b?
1/2, 7
Suppose -5*i = -0*i + 25, -2*p = 2*i + 6. Let s(j) be the third derivative of -1/2*j**4 - 4*j**3 + 0*j - 17*j**p + 0 - 1/40*j**5. Factor s(y).
-3*(y + 4)**2/2
Let v(c) be the second derivative of -13/9*c**3 - 5*c + 1 + 1/30*c**5 - 7/3*c**2 - 5/18*c**4. Let v(t) = 0. What is t?
-1, 7
Let s(d) = 4*d - 136. Let q be s(39). Let x be 10*8/q + -1. Factor 4/7*w**x + 0 - 16/7*w**2 + 12/7*w.
4*w*(w - 3)*(w - 1)/7
Let i(p) be the second derivative of 54*p**3 + 1/15*p**5 - 3*p**4 - 70*p + 0 - 486*p**2. What is b in i(b) = 0?
9
Let q(l) be the third derivative of -l**8/1008 + l**7/140 - l**6/45 + 17*l**5/10 - 2*l**2 + 8*l. Let k(h) be the third derivative of q(h). Factor k(o).
-4*(o - 1)*(5*o - 4)
Factor 5*z**2 + 228 + 90*z + 2*z**2 - 5*z**2 + z**2 - 21*z.
3*(z + 4)*(z + 19)
Let g(z) be the second derivative of 1/2*z**3 - 1/20*z**5 + 0*z**2 - 45*z + 1/6*z**4 + 0. What is i in g(i) = 0?
-1, 0, 3
Let k(g) be the second derivative of -148*g**7/21 - 442*g**6/15 - 219*g**5/5 - 71*g**4/3 + 2*g**3/3 + g + 93. Factor k(l).
-4*l*(l + 1)**3*(74*l - 1)
Determine b, given that 412*b**2 + 2/15*b**3 + 0*b + 0 = 0.
-3090, 0
Let h be (-527)/(-21) - (-8)/(-84). Factor 2 + 20*t - 10*t**3 - h*t**2 + 7 + 6.
-5*(t - 1)*(t + 3)*(2*t + 1)
Let f(p) be the first derivative of -3/2*p**2 - 1/4*p**4 + 2*p**3 - 22 - 10*p. Factor f(c).
-(c - 5)*(c - 2)*(c + 1)
Let f(w) be the third derivative of 1/39*w**4 - 2*w**2 + 0 - 1/2340*w**6 + 0*w + w**3 + 1/260*w**5. Let n(z) be the first derivative of f(z). Factor n(q).
-2*(q - 4)*(q + 1)/13
Let l = 623 + -621. Let c(j) be the second derivative of 0*j**l + 0 + 1/5*j**5 + 0*j**3 + j**4 + 1/90*j**6 + 14*j. Determine y so that c(y) = 0.
-6, 0
Solve 3/7*p**2 - 162/7 - 159/7*p = 0 for p.
-1, 54
Let h(r) be the first derivative of 0*r**2 + 21 - 5/4*r**4 - 24*r + r**3. Let s(b) be the first derivative of h(b). Factor s(n).
-3*n*(5*n - 2)
Let w(y) = y**2 + 25*y - 21. Suppose 19 + 26 = 9*p. Let t(s) = -12*s + 10. Let a(v) = p*t(v) + 2*w(v). Factor a(z).
2*(z - 4)*(z - 1)
Let h(x) be the third derivative of -x**7/210 - x**6/20 + x**5/60 + 5*x**4/4 + 4*x**2 + 215. Factor h(f).
-f*(f - 2)*(f + 3)*(f + 5)
Let j(w) be the first derivative of -w**7/210 + 2*w**5/5 - 8*w**4/3 - 8*w**3 - 36. Let z(y) be the third derivative of j(y). Factor z(l).
-4*(l - 2)**2*(l + 4)
Let o be (-7 - (-288)/54)/(-20). Let p(l) be the first derivative of l + 5/8*l**2 - 10 + o*l**3. Find r such that p(r) = 0.
-4, -1
Let l(c) be the third derivative of 0 - 1/7*c**4 + 12/7*c**3 + 1/210*c**5 + 0*c - 79*c**2. Factor l(h).
2*(h - 6)**2/7
Let t(x) = 0*x**2 - 2*x**3 + 0*x**3 + x**2 - 1 + 10*x - 11*x. Let m(u) = -8*u**4 + 116*u**3 + 81*u**2 - 23*u + 5. Let i(f) = -m(f) - 5*t(f). Factor i(h).
2*h*(h - 14)*(h + 1)*(4*h - 1)
Let p = -552 + 549. Let y(r) = -58*r - 172. Let f be y(p). Let 1/4*i**3 - i + 0 - i**f + 1/4*i**4 = 0. Calculate i.
-2, -1, 0, 2
Let y = 429 + -2138/5. Let a(f) be the first derivative of 25*f - y*f**5 + 13 + 65/2*f**2 - 1/2*f**4 + 1/6*f**6 + 46/3*f**3. Factor a(w).
(w - 5)**2*(w + 1)**3
Suppose -5*t - 3092 = 6*h - 36782, 5*t - 33690 = -h. Factor -360*m - 508 - 2042 + 2677 - 9589 - 2*m**2 - t.
-2*(m + 90)**2
Let s(a) be the first derivative of -2*a**5/75 - 53*a**4/6 - 524*a**3/45 + 176*a**2/5 + 22. Let s(h) = 0. Calculate h.
-264, -2, 0, 1
What is v in 450 - 2310*v - 105*v**3 - 27/2*v**4 + 2613/2*v**2 = 0?
-15, 2/9, 2, 5
Let g(b) be the third derivative of -2*b**7/105 - 16*b**6/15 - 208*b**5/15 - 64*b**4 + 2098*b**2. Factor g(q).
-4*q*(q + 4)**2*(q + 24)
Let n(p) be the second derivative of p**5/20 - 7*p**4/4 + 14*p**3 - 32*p**2 - 908*p. Suppose n(f) = 0. What is f?
1, 4, 16
Suppose -405 = -18*i - 135. Factor -10*l**3 + l**4 - 34*l**3 + 8*l**3 + i*l**4 + 8*l**2.
4*l**2*(l - 2)*(4*l - 1)
Let s be (4/3)/(7/(-6) + 1). Let q be 31/62 + 10/s*-2. Factor -4/5*a + 2/5*a**q + 0 - 2/5*a**2.
2*a*(a - 2)*(a + 1)/5
Let c(k) be the second derivative of -3*k**5/20 + 961*k**4/4 + 10249*k. Factor c(p).
-3*p**2*(p - 961)
What is i in 30*i + 2/9*i**2 - 272/9 = 0?
-136, 1
Let v = 142754/31 + 1337516/651. Let k = v - 19814/3. Factor -k*g - 1024/7 - 2/7*g**3 - 48/7*g**2.
-2*(g + 8)**3/7
Suppose 13*a - 14 - 12 = 0. Determine i, given that 6*i**a - 17 - 2*i - 2*i - 1 + 2 = 0.
-4/3, 2
Let b be (319/(-33) + 13)*(-261)/(-12). Let d = 437/6 - b. Factor 0 + 0*w - 1/3*w**2 - d*w**3.
-w**2*(w + 1)/3
Let b = 2601/4 - 10323/16. Let h(l) be the first derivative of 87/8*l**2 + 45/4*l**3 + 3/4*l**5 + b*l**4 - 13 + 9/2*l. Let h(m) = 0. Calculate m.
-3, -1, -2/5
