. Let f = c - 24. Solve 0*m**2 - 16*m**3 - 13*m**2 + 0*m**2 - 12*m**f + 9*m**2 = 0.
-1, -1/3, 0
Let a(p) = 5*p**2 - 161*p + 164. Let i(c) = -3*c**2 + 107*c - 109. Let s(w) = 5*a(w) + 8*i(w). Factor s(z).
(z - 1)*(z + 52)
Let a(j) be the second derivative of -j**7/210 - 2*j**6/45 - j**5/10 - 13*j**3/6 - 16*j. Let b(k) be the second derivative of a(k). Factor b(s).
-4*s*(s + 1)*(s + 3)
Let t(a) = 16*a - 12. Let j(s) = s + 6. Let y be j(-6). Let w(n) = y*n**2 - n**3 - n**2 + n + 0*n. Let c(p) = t(p) + 4*w(p). Factor c(f).
-4*(f - 1)**2*(f + 3)
Let c be ((-30)/8)/(18/(-480)). Factor 11*b + 2*b + 27*b + c + 4*b**2.
4*(b + 5)**2
Let y(n) = -78*n - 38. Let k be y(-11). Factor 820 + 12*s**4 + 3*s**3 - k.
3*s**3*(4*s + 1)
Let a be ((-8)/(-10))/((-1378)/(-2385)). Factor 54/13*v + 54/13 + a*v**2 + 2/13*v**3.
2*(v + 3)**3/13
Let n(t) = 15*t**2 + 45*t + 41. Let b(z) = -5*z**2 - 15*z - 14. Suppose 4*a - 66 = -2*a. Let s(o) = a*b(o) + 4*n(o). Suppose s(r) = 0. What is r?
-2, -1
Let 3*t**3 + t - 927*t**5 - 5*t**3 + 928*t**5 = 0. Calculate t.
-1, 0, 1
Factor -2*k + 33/7*k**2 + 1/7*k**5 + 0 - 23/7*k**3 + 3/7*k**4.
k*(k - 2)*(k - 1)**2*(k + 7)/7
Let o(u) = -u**2 + 10*u - 5. Let j be o(10). Let b(z) = -z + 1. Let r be b(j). Factor -3*a + 0*a - r*a**2 + 11*a**2 - 8*a**2.
-3*a*(a + 1)
Let x(w) be the first derivative of -w**5/10 + 3*w**4/8 - w**2 - 9. Let x(q) = 0. What is q?
-1, 0, 2
Factor 3*f**2 - 175 - 12*f - 5*f + 190 - f.
3*(f - 5)*(f - 1)
Let j(f) be the second derivative of 39*f - 1/22*f**4 + 1/231*f**7 + 0 + 1/110*f**5 + 1/55*f**6 - 2/33*f**3 + 0*f**2. Find o such that j(o) = 0.
-2, -1, 0, 1
Let v = -670 + 231. Let k = v - -3079/7. Suppose -3/7*g**3 - k*g**4 + 0*g + 3/7*g**5 + 0 + 6/7*g**2 = 0. Calculate g.
-1, 0, 1, 2
Let s = 21 + -19. What is t in 5*t**2 + 10*t**s + 14*t**4 - 9*t - 3*t**3 - 17*t**4 = 0?
-3, 0, 1
Let g(w) be the second derivative of w**5/40 - 5*w**4/24 - 2*w**3 + 2*w - 5. Find v such that g(v) = 0.
-3, 0, 8
Let s be (-2)/(-13 + 4*(-5)/10). Let i(h) be the first derivative of 0*h - 3 + 1/5*h**2 - s*h**3. Factor i(o).
-2*o*(o - 1)/5
Let k(o) be the first derivative of -5*o**3/7 + 309*o**2/14 + 18*o - 183. Factor k(u).
-3*(u - 21)*(5*u + 2)/7
Let l(m) be the second derivative of 1/4*m**4 - 8*m - 15/2*m**2 + 0 - 2*m**3. Find j such that l(j) = 0.
-1, 5
Let t(p) = 39*p + 1094. Let l be t(-28). Suppose 20*z - 25/3*z**l - 12 = 0. What is z?
6/5
Let x = -28861 + 28861. Find i, given that 1/2*i**2 + x - 7/2*i = 0.
0, 7
Let j(l) be the first derivative of l**7/42 - l**6/6 + l**5/4 - 14*l**2 + 20. Let b(n) be the second derivative of j(n). Suppose b(v) = 0. Calculate v.
0, 1, 3
Let l(j) = -j**3 - 8*j**2 - 5*j + 14. Let v be l(-7). Solve 0 + 5*i**2 + v + 3*i**2 - 2*i**3 = 0 for i.
0, 4
Let p(y) be the third derivative of y**7/630 - y**6/72 - 11*y**5/180 + 11*y**4/24 - y**3 - 13*y**2 - y. Factor p(q).
(q - 6)*(q - 1)**2*(q + 3)/3
Let z(p) = -8*p - 2*p + p + 5*p. Let s be z(-1). Suppose 6*c**3 - 5*c + s*c**5 - 7*c**5 + 2*c = 0. What is c?
-1, 0, 1
Let b be (4/10)/((-1256)/(-157)*2/40). Find p such that -p**2 + 3/2*p - 3/2*p**3 + b = 0.
-1, -2/3, 1
Let f = -708212/387 + 1830. Let d = f + 395/1548. Let -d*k**2 - 4 + 2*k = 0. Calculate k.
4
Factor -1/2 - 11/4*p**3 + 11/4*p + 9/4*p**4 - 7/4*p**2.
(p - 1)**2*(p + 1)*(9*p - 2)/4
Let t(v) = -v**2 - 1. Let l(b) = b**2 - 6*b - 12. Let n be l(8). Suppose n = -3*m + 7. Let j(o) = 6*o**2 + 8*o + 12. Let f(g) = m*j(g) + 4*t(g). Factor f(d).
2*(d + 2)**2
Let b(c) be the third derivative of 0*c - 2*c**2 + 25/6*c**3 + 1/4*c**6 - 1/3*c**5 - 1/42*c**7 + 0 - 5/4*c**4. Factor b(w).
-5*(w - 5)*(w - 1)**2*(w + 1)
Let p(m) be the third derivative of -11*m**6/120 + 29*m**5/12 + 16*m**4/3 - 14*m**3/3 + 94*m**2 + 2. Let p(l) = 0. Calculate l.
-1, 2/11, 14
Let c = -5376 + 26881/5. Factor -c*d**2 + 0 - 1/5*d**3 + 0*d.
-d**2*(d + 1)/5
Let s be ((-404)/66)/((-869)/33). Let q = -4/79 + s. Suppose 8/11*l - q*l**3 + 8/11 - 2/11*l**2 = 0. Calculate l.
-2, -1, 2
Let h = 21 - 19. Suppose -2 + 4*a**4 + 2*a**4 - 2*a**h - 5*a**4 + 3 = 0. Calculate a.
-1, 1
Let f = 323/1220 + -7/61. Let l(j) be the third derivative of 0 - f*j**5 - 1/40*j**6 - 3/8*j**4 - 1/2*j**3 + 0*j + 3*j**2. Find c such that l(c) = 0.
-1
Let a(n) be the first derivative of n**4/16 + 13*n**3/4 + 507*n**2/8 - 35*n + 18. Let d(j) be the first derivative of a(j). Let d(l) = 0. What is l?
-13
Let q(x) be the first derivative of x**6/2 - 3*x**5 + 21*x**4/4 - 3*x**3 + 299. Suppose q(p) = 0. What is p?
0, 1, 3
Solve 2/5*z**2 + 16/5 + 12/5*z = 0 for z.
-4, -2
Let t be 3 - (-4 + (-1 - -3) + 0). Find c such that -c**5 + 16*c**4 - 4*c**3 - 16*c**3 + 8*c**2 + c**t - 4*c**5 = 0.
0, 1, 2
Let f(j) be the first derivative of 2*j**5/15 - 7*j**4/6 - 2*j**3/3 + 23*j**2/3 - 28*j/3 - 280. Determine a, given that f(a) = 0.
-2, 1, 7
Let k(g) be the second derivative of -g**5/10 - 81*g**4/4 - 1220*g**3 + 3721*g**2/2 + g - 17. Factor k(o).
-(o + 61)**2*(2*o - 1)
Let g(l) be the third derivative of 0*l**3 + 1/40*l**6 + 1/20*l**5 + 12*l**2 + 1/210*l**7 + 0*l + 1/24*l**4 + 0. Factor g(a).
a*(a + 1)**3
Let w(h) = 5*h**3 - 21*h**2 - 17*h. Let j(s) = -29*s**3 + 123*s**2 + 101*s. Let x(r) = 6*j(r) + 34*w(r). Factor x(f).
-4*f*(f - 7)*(f + 1)
Let y(g) be the second derivative of 3*g**5/10 + 163*g**4/6 + 747*g**3 + 729*g**2 - 148*g. Factor y(l).
2*(l + 27)**2*(3*l + 1)
Let t(q) = 3*q + 63. Let i = -7 + -14. Let f be t(i). Let -2/9*u**5 + 2/3*u**3 + 0*u + 4/9*u**2 + 0 + f*u**4 = 0. Calculate u.
-1, 0, 2
Let c(o) = -5*o**2 - o**2 - 1 - 6*o - 4 + o**3. Let v be c(7). Suppose 221*a**3 + 480*a**3 + 486*a**v + 28*a**3 + 108*a + 8 = 0. Calculate a.
-2/9
Suppose -5*y + 16 = 16. Let w(j) be the second derivative of 1/60*j**4 + 0*j**3 - 1/10*j**2 + y + 3*j. Factor w(t).
(t - 1)*(t + 1)/5
Let l = -87 - -143. Find g, given that -19*g**3 - 29*g**3 + l*g**2 - 16 - 28*g**4 + 48*g - 12*g**2 = 0.
-2, -1, 2/7, 1
Factor 2/3*q**4 + 16*q**2 + 32/3*q + 6*q**3 + 0.
2*q*(q + 1)*(q + 4)**2/3
Let f(n) be the first derivative of 1225*n**4/2 + 5180*n**3/3 + 284*n**2 + 16*n - 73. Factor f(x).
2*(x + 2)*(35*x + 2)**2
Let y(g) = 54 - 3*g + 1 - 8. Let i be y(15). Factor -3/2*r**i - 15*r - 75/2.
-3*(r + 5)**2/2
Factor -20*b**3 + 69 + 44 + 185*b**2 + 52 + 370*b.
-5*(b - 11)*(b + 1)*(4*b + 3)
Let p(i) = -20*i**2 + 11*i + 18. Let o(j) = -17*j**2 + 11*j + 18. Let k(m) = -7*o(m) + 6*p(m). Solve k(t) = 0 for t.
-9, -2
Let j(y) be the third derivative of y**8/1344 - y**7/210 + y**6/160 - 6*y**2 - 11. Factor j(l).
l**3*(l - 3)*(l - 1)/4
Let l(a) be the first derivative of -3/5*a - 1 - 1/5*a**3 + 3/5*a**2. Solve l(z) = 0 for z.
1
Let k be (-110)/(-20)*1/11. Factor 1/2*w**4 + k*w**2 + w**3 + 0*w + 0.
w**2*(w + 1)**2/2
What is b in 7*b + 61*b - 68*b**3 + 17 - 28*b**2 - 12*b**4 + 23 = 0?
-5, -1, -2/3, 1
Let t(p) = -6*p**2 - 116*p - 1678. Let y(b) = 2*b**2 - 2. Let z(j) = 2*t(j) + 4*y(j). Let z(x) = 0. Calculate x.
-29
Let v = 3693/5 + -738. Find q, given that 0 - v*q - 3/5*q**2 = 0.
-1, 0
Let b(j) = j**3 + 5*j**2 - 8*j - 3. Let l = -9 - -3. Let h be b(l). Solve -6*n**2 + 6*n**4 - 4*n**2 + 4*n**2 + h*n**3 = 0 for n.
-2, 0, 1/2
Suppose -16 + 34 = 9*i. Let w(f) be the first derivative of -4 + 0*f**i + 1/2*f**4 - 4/3*f**3 + 0*f. What is v in w(v) = 0?
0, 2
Let o(m) be the first derivative of 0*m + 9/14*m**2 + 10 + 2/7*m**3 - 3/28*m**4. Factor o(w).
-3*w*(w - 3)*(w + 1)/7
Let i(b) be the second derivative of -b**5/5 - 4*b**4/3 + 8*b**3 + 8*b + 2. Find f such that i(f) = 0.
-6, 0, 2
Let m(s) = -s**2 + 2*s + 1. Let f(b) = 12*b**2 - 1176*b + 84092. Let j(g) = f(g) + 8*m(g). Determine d so that j(d) = 0.
145
Let j be -7 - (4215/(-525) + (-4)/10). Factor j*y + 8/7*y**2 + 2/7*y**3 + 4/7.
2*(y + 1)**2*(y + 2)/7
Suppose 14*j + 1/3*j**3 - 17/3*j**2 + 0 = 0. Calculate j.
0, 3, 14
Let v(w) be the first derivative of -6/7*w - 5/7*w**2 + 1/14*w**4 - 44 - 2/21*w**3. Factor v(l).
2*(l - 3)*(l + 1)**2/7
Let a(s) be the third derivative of s**5/540 - 13*s**4/216 - 5*s**3/9 - 7*s**2 + 8. Factor a(l).
(l - 15)*(l + 2)/9
Let k(y) = -y**3 - 6*y**2 + 2*y + 14. Let q be k(-6). Factor -17*g**q - 3*g - 2 + 8*g**2 + 8*g**2 + 0.
-(g + 1)*(g + 2)
Let t(r) = -r**4 - 20*r**3 - 3*r**2 + 3. Let k(b) = -4*b**4 - 60*b**3 - 8*b**2 + 8. Let i(s) = 3*k(s) - 8*t(s). Factor i(l).
-4*l**3*