et c(b) be the second derivative of -b**4/48 + 29*b**3/24 + 15*b**2/4 + 73*b + 2. Factor c(p).
-(p - 30)*(p + 1)/4
Let d(h) = -307*h**3 + 2*h**2 + 4*h + 3. Let g be d(-1). Let q be g/49 - (3 - -3). Determine z so that 4/7*z - 18/7*z**4 + 0 - 24/7*z**3 - q*z**2 = 0.
-1, -2/3, 0, 1/3
Solve 9/8 + 29/4*b**2 - 3/8*b**4 - 11/2*b - 5/2*b**3 = 0 for b.
-9, 1/3, 1
Let o = 1194 + -15520/13. Suppose -4/13*q**4 + 0*q + 2/13*q**3 + 0 - o*q**5 + 4/13*q**2 = 0. What is q?
-2, -1, 0, 1
Suppose -1 = 2*n + 5*y - 7, -3*n + 9 = -4*y. Let p(k) = 34*k - 1086. Let z be p(32). Suppose 6/5*v**n + 4/5*v + 0 - 14/5*v**z = 0. Calculate v.
0, 1/3, 2
Suppose 1 + 7 = 4*c. Let b(v) = v**2 - 4. Let t be b(-3). Factor -5*m + t*m**5 + 2*m**2 + 8*m**c - 6*m**4 - 4*m**4.
5*m*(m - 1)**3*(m + 1)
Let b(m) = -m**3 - 3*m**2 + m - 9. Suppose -44*g + 16 = -48*g. Let j be b(g). Solve 0*c + 4/17*c**2 + 2/17*c**j + 0 = 0 for c.
-2, 0
Solve -3/4*k**4 - 3/2*k**3 + 33/4*k**2 + 0 + 9*k = 0.
-4, -1, 0, 3
Let s(r) be the third derivative of r**7/84 + r**6/48 - r**5/4 - 5*r**4/12 + 10*r**3/3 - 13*r**2. Let s(t) = 0. What is t?
-2, 1, 2
Find a, given that -7*a**2 - 1/2*a**5 + 0*a + 0 - 2*a**4 + 19/2*a**3 = 0.
-7, 0, 1, 2
Let h(t) = 88*t**2 + 187*t + 22. Let l(z) = 59*z**2 + 125*z + 14. Let k(f) = -5*h(f) + 7*l(f). Solve k(j) = 0.
-2, -2/9
Suppose 0 = -4*c + 2 + 14, -35 = -5*b - 5*c. Factor -2*w**3 - 2*w**4 + 2*w**3 - b*w**4.
-5*w**4
Suppose 11*y + 11*y + 264 = 0. Let l be (y/2)/(-1) - 4. Let 0*v - 6*v**l - 3/2*v**4 + 0 - 6*v**3 = 0. Calculate v.
-2, 0
Let o = 663 + -656. Let j(f) be the third derivative of 1/84*f**8 - 8/105*f**o + 0*f**3 - 4/15*f**5 + 1/5*f**6 + 0 + 1/6*f**4 + 0*f - 3*f**2. Factor j(c).
4*c*(c - 1)**4
Let o(j) be the second derivative of j**7/21 + j**6/15 - 7*j**5/10 - j**4/6 + 2*j**3 - 128*j + 2. Find i, given that o(i) = 0.
-3, -1, 0, 1, 2
Let k(c) = c**2 + 3*c - 4. Let f be k(-4). Factor -6*g + f*g - 4*g**2 + g + g.
-4*g*(g + 1)
Let y = 307/755 - 1/151. Factor 0 - y*g + 1/5*g**2.
g*(g - 2)/5
Let g(f) be the third derivative of f**7/5040 - f**6/360 + f**5/80 - f**4/6 - 11*f**2. Let z(s) be the second derivative of g(s). Factor z(v).
(v - 3)*(v - 1)/2
Let j(a) be the first derivative of 1/15*a**5 + 4/3*a - 21 - 13/6*a**2 - 7/12*a**4 + 5/3*a**3. Find u such that j(u) = 0.
1, 4
Let q(k) be the second derivative of k**5/90 + 5*k**4/27 + 25*k**3/27 + 41*k. Factor q(o).
2*o*(o + 5)**2/9
Let z be (264/36 + -6)*2. Solve 6*c**3 + z + 14/3*c**2 - 8*c - 22/3*c**4 + 2*c**5 = 0.
-1, 2/3, 1, 2
Let x(i) be the third derivative of -3*i**2 + 1/240*i**6 + 0 + 0*i**4 + 0*i**3 + 0*i + 0*i**5. Factor x(u).
u**3/2
Let o(m) be the third derivative of 0*m + 1/1200*m**6 + 1/30*m**4 + 0*m**3 + 3/200*m**5 + 0 - 53*m**2. Factor o(g).
g*(g + 1)*(g + 8)/10
Let j(f) be the third derivative of -f**5/285 - 47*f**4/228 + 437*f**2. Factor j(c).
-2*c*(2*c + 47)/19
Suppose -63*y**3 + 144/7 + 30/7*y**5 + 564/7*y - 3/7*y**4 + 48*y**2 = 0. What is y?
-4, -1/2, -2/5, 2, 3
Find n, given that 66 - 8*n**2 - 7*n + 73 - 2*n**3 + 39*n - 11 = 0.
-4, 4
Let w be -24*19/(-152) + -3. Factor -4/5*m**2 + w + 1/5*m.
-m*(4*m - 1)/5
Let t(f) = 8*f**2 - 3*f - 119. Let g(s) = -65*s**2 + 25*s + 950. Let o(b) = 3*g(b) + 25*t(b). Factor o(l).
5*(l - 5)*(l + 5)
Let f(i) = i**2 + i - 1. Let p(v) = v**3 - v**2 + 19*v - 7. Let u(h) = -35*f(h) + 5*p(h). Factor u(w).
5*w*(w - 6)*(w - 2)
Let d(x) = -x**3 - 7*x**2 - 6*x + 8. Let a be d(-6). Suppose -3*j = -a - 1. Suppose -10*v - 5*v + 6 + v**3 - 15*v**2 - 13*v**j - 18*v**2 = 0. What is v?
-2, -1, 1/4
Let o(g) = g**3 - g - 1. Let n(j) = 8*j**3 + 8*j**2 - 4*j - 4. Let b = 16 + -20. Let x(t) = b*o(t) + n(t). Suppose x(y) = 0. What is y?
-2, 0
Let x be 1 + -6 + 121 + 6. Let 2*f + 124*f**2 + 6*f - x*f**2 = 0. Calculate f.
-4, 0
Suppose -2*r - 7 = -5*t - 33, 4*r = 12. Let s(o) = -o**2 + o. Let b(j) = 7*j**2 + 2*j. Let h(m) = t*s(m) - b(m). Factor h(f).
-3*f*(f + 2)
Let r(a) = a**3 + 24*a**2 + 107*a - 14. Let w be r(-18). Factor 0*p + 2/9*p**5 - 2*p**2 + 38/9*p**3 - 22/9*p**w + 0.
2*p**2*(p - 9)*(p - 1)**2/9
Let o(t) be the second derivative of -t**5/4 - 5*t**4/3 - 25*t**3/6 - 5*t**2 - 16*t - 2. Factor o(k).
-5*(k + 1)**2*(k + 2)
Let p(l) be the first derivative of -5*l**4/4 - 20*l**3/3 - 5*l**2/2 + 30*l - 739. Factor p(q).
-5*(q - 1)*(q + 2)*(q + 3)
Let y(k) be the third derivative of -k**8/1344 - k**7/120 - 17*k**6/480 - 17*k**5/240 - k**4/16 - 37*k**2. Suppose y(l) = 0. Calculate l.
-3, -2, -1, 0
Let y(l) = -4*l**2 + 4*l + 4. Suppose 10*u = 5*u + 25. Let i(v) = v**2. Let g(t) = u*i(t) + y(t). Factor g(h).
(h + 2)**2
Let y(b) be the first derivative of 5*b**4/24 - 5*b**3/3 + 80*b/3 + 681. Find i, given that y(i) = 0.
-2, 4
Let k(z) = 2*z**2 - z. Let s(w) = -2*w**2 + 6*w + 2. Let r(v) = -2*k(v) - s(v). Suppose r(y) = 0. What is y?
-1
Let p be (-5)/(-25)*56 - 11. Suppose -p*z**2 - 4/5 + 4/5*z = 0. What is z?
2
Let u(z) = 7*z + 235. Let p be u(-33). Let s(g) be the first derivative of 3/4*g**p - 3*g**2 - 5 - g**3 + 0*g. Solve s(b) = 0 for b.
-1, 0, 2
Let n(u) = -19*u - 7. Let w(f) = -5*f. Let k(p) = 5*n(p) - 20*w(p). Let h be k(7). What is s in -2/7*s**2 + 2/7*s + h = 0?
0, 1
Let v(o) be the second derivative of -o**4/6 + 9*o**3 - 23*o. Suppose v(q) = 0. Calculate q.
0, 27
Let m(t) be the first derivative of t**2/2 - 13*t - 18. Let r be m(15). Suppose 0 + 1/5*q**r + 1/5*q = 0. What is q?
-1, 0
Let u(d) be the second derivative of -d**5/4 + 365*d**4/12 - 60*d**3 + d + 26. What is c in u(c) = 0?
0, 1, 72
Let g(m) be the second derivative of 1/24*m**4 + 0 - 1/60*m**5 + 3*m + 0*m**2 + 1/360*m**6 - 1/3*m**3. Let r(p) be the second derivative of g(p). Factor r(d).
(d - 1)**2
Let r = -10459/10 + 5232/5. Factor 0 - n**2 - 1/2*n - r*n**3.
-n*(n + 1)**2/2
Let t(z) be the second derivative of 3*z - 1/72*z**4 - z**2 + 0*z**3 + 0 + 1/45*z**5. Let b(j) be the first derivative of t(j). Factor b(g).
g*(4*g - 1)/3
Let b(a) = 20*a**3 + 32*a**2 + 308*a - 232. Let x(y) = -2*y**3 - 3*y**2 - 28*y + 21. Let i(h) = 3*b(h) + 32*x(h). Let i(k) = 0. What is k?
-3, 1, 2
Let p = -19 - -24. Let u(h) be the first derivative of 1/5*h**p + 1/3*h**3 + 0*h**2 - 1/2*h**4 + 0*h - 2. Factor u(t).
t**2*(t - 1)**2
Let h(s) be the first derivative of -3*s**4/4 - 9*s**3 - 45*s**2/2 - 21*s - 64. Factor h(t).
-3*(t + 1)**2*(t + 7)
Suppose 32*g - 4857 = 29*g. Let m = g - 4765/3. Factor m*n**2 + 6*n**4 - 2/3*n**5 - 20*n**3 + 6 - 22*n.
-2*(n - 3)**2*(n - 1)**3/3
Let w = -289 - -294. Let s(t) be the third derivative of -w*t**2 + 1/20*t**5 + 0 + 1/8*t**4 + 0*t**3 + 0*t. Factor s(f).
3*f*(f + 1)
Let i be ((-200)/24 - 2) + 11. Solve -i + 2/3*f**2 - f = 0.
-1/2, 2
Let c(g) = -g**2 - g - 1. Let f(n) = -6*n**2 + 7*n - 19. Let s(t) = 44*c(t) - 4*f(t). Let s(x) = 0. Calculate x.
-4, 2/5
Let q = -68 + 38. Let p be ((-186)/q - 1) + -4. Solve 0 + 2/5*x**2 - p*x = 0.
0, 3
Factor 37*m - 4*m**2 - 48 - 24 - m.
-4*(m - 6)*(m - 3)
Let a be ((-12)/27)/(27/(-81)). Suppose 2/3 + 2/3*n**2 + a*n = 0. Calculate n.
-1
Let d(t) = -t**2 + 1. Let m(b) = 9*b**2 + 92*b + 1051. Let g(w) = -14*d(w) - 2*m(w). Determine i, given that g(i) = 0.
-23
Let o(t) = 60*t**4 + 64*t**3 - 36*t**2 - 24*t - 4. Let f(z) = z**4 + z**3 + z. Let m(n) = -20*f(n) + o(n). Suppose m(b) = 0. Calculate b.
-1, -1/10, 1
Let f = 17/210 - -3/35. Let d(s) be the second derivative of -1/42*s**7 - 1/2*s**3 + 0 - s**2 + 0*s**6 + 5*s + f*s**4 + 1/5*s**5. Factor d(p).
-(p - 2)*(p - 1)*(p + 1)**3
Suppose 3 = g + 5*k, 4*k - 6 = -2*g + 3*k. Let v(b) be the first derivative of -12*b + 4/3*b**g + 4*b**2 - 5. What is y in v(y) = 0?
-3, 1
Let c be (-4 + 105/25)/((-24)/(-10)). Let r(s) be the second derivative of -6*s + 1/16*s**5 + 0 + c*s**3 - 7/48*s**4 + 0*s**2. Factor r(u).
u*(u - 1)*(5*u - 2)/4
Let l(t) = -3*t**5 + 3*t**4 + t**3 - 3*t**2 + 4*t - 2. Let z(k) = 4*k**5 - 4*k**4 + 2*k**2 - 5*k + 3. Let g(f) = -3*l(f) - 2*z(f). Factor g(d).
d*(d - 1)**3*(d + 2)
Solve -4*g**3 - 12*g**5 - 4*g**4 + 14*g**5 - 16*g**3 + 2*g**5 - 12*g**2 = 0 for g.
-1, 0, 3
Let a(k) be the second derivative of k**9/68040 + k**8/7560 + k**7/2835 + k**4/6 + 2*k**3/3 + 13*k - 2. Let v(h) be the third derivative of a(h). Factor v(l).
2*l**2*(l + 2)**2/9
Let w(m) be the first derivative of -m**6/420 + m**4/28 + 2*m**3/21 + 23*m**2/2 - 7. Let d(u) b