 3)
Suppose 32*q - 204 + 204 = -20*q. What is y in 2/3*y**2 + 0*y + 7/6*y**3 - 1/6*y**5 + q + 1/3*y**4 = 0?
-1, 0, 4
Suppose k + 3*k + 4*h = 4, -5*k + h = -29. Suppose -k*x - 43 = -4*u, u = 3*x - 7*x + 16. Factor 6*o**3 + 4*o**4 - u*o**2 - 9*o**3 + 8*o**3 + 3*o**3.
4*o**2*(o - 1)*(o + 3)
Let a be 36/40 + -1 + 74/148. Suppose 2/5*v**2 + 0 - a*v**4 - 2/5*v**3 + 2/5*v = 0. Calculate v.
-1, 0, 1
Let g = 21 - 15. Suppose 0 = -g*j + 10*j - 12. Suppose -4/9*b**2 + 2/9 + 0*b + 2/9*b**4 + 0*b**j = 0. Calculate b.
-1, 1
Let n(i) be the first derivative of -2/35*i**5 + 10/21*i**3 - 1/21*i**6 + 3/14*i**4 - 18 + 2/7*i**2 + 0*i. Let n(v) = 0. What is v?
-1, 0, 2
Let a(w) be the second derivative of 3*w**5/100 + 15*w**4/4 - w**3/10 - 45*w**2/2 - 749*w. Factor a(y).
3*(y - 1)*(y + 1)*(y + 75)/5
Let 0 + 48*q**3 - 1/2*q**2 + q**5 - 16*q + 67/2*q**4 = 0. What is q?
-32, -1, 0, 1/2
Suppose -3928*c - 8 = -3932*c. Let n(j) be the third derivative of 0*j**3 + 0*j**5 + 10*j**c + 0*j + 0 - 1/15*j**6 + 1/12*j**4. Find y, given that n(y) = 0.
-1/2, 0, 1/2
Let z(r) be the first derivative of -2*r**3/9 + 7*r**2/3 - 165. Suppose z(d) = 0. What is d?
0, 7
Let j(m) be the second derivative of m**5/270 + m**4/27 + 4*m**3/27 + 3*m**2 - 6*m. Let b(a) be the first derivative of j(a). Factor b(h).
2*(h + 2)**2/9
Let g = -99713/1260 + 554/7. Let t(o) be the third derivative of -1/18*o**3 + g*o**5 - 1/360*o**6 + 1/72*o**4 + 0*o + 0 + 4*o**2. Factor t(i).
-(i - 1)**2*(i + 1)/3
Let l(c) be the second derivative of -3*c**7/14 - c**6/10 + 33*c**5/20 - 3*c**4/4 - 4*c**3 + 6*c**2 - c + 9. Suppose l(u) = 0. Calculate u.
-2, -1, 2/3, 1
Let i = 4181 + -4179. Find p, given that 0*p + 2/5*p**i - 8/5 = 0.
-2, 2
Let i(k) be the first derivative of -k**6/1260 - k**5/60 + 32*k**3/3 - 28. Let c(z) be the third derivative of i(z). Factor c(j).
-2*j*(j + 7)/7
Let h(a) be the first derivative of -a**6/3 - 2*a**5/5 + 7*a**4/2 + 26*a**3/3 + 6*a**2 - 218. Suppose h(f) = 0. Calculate f.
-2, -1, 0, 3
Let r(x) be the second derivative of x**4/18 - 134*x**3/9 + 4489*x**2/3 + 43*x - 5. Factor r(v).
2*(v - 67)**2/3
Factor -3*p - 7 + 4 - p**2 + 1.
-(p + 1)*(p + 2)
Let i(l) = l - 1. Let h(d) = 1. Let r(u) = -4*h(u) - 3*i(u). Let w be r(-2). Factor n + 36*n**w + n - 18*n**5 - 16*n**5 - 4*n**3.
2*n*(n - 1)**2*(n + 1)**2
Let r(w) be the second derivative of -w**6/105 + 12*w**5/35 + 26*w**4/21 + 692*w. What is n in r(n) = 0?
-2, 0, 26
Suppose 9*d - 15 = 4*d. Suppose d*h - 25 = -2*o, -o + 11 - 26 = -4*h. Solve 0*f + 18*f**2 - 3*f + 2*f + h*f = 0 for f.
-2/9, 0
Let i = 55 - 53. What is p in 19*p - 6*p + 12 + 9*p + 8 + i*p**2 = 0?
-10, -1
Let t(o) be the third derivative of 0*o**3 + 15*o**2 - 1/120*o**6 - 1 + 1/20*o**5 + 0*o + 0*o**4. Find c such that t(c) = 0.
0, 3
Suppose -25*m + 22 = v - 30*m, -5*m = -3*v + 26. Find x such that 2/7*x**v + 2/7*x**3 - 2/7*x**4 - 2/7*x + 0 = 0.
-1, 0, 1
Let r(w) be the first derivative of -w**7/560 + w**5/160 - 15*w**2 - 7. Let y(g) be the second derivative of r(g). Find k, given that y(k) = 0.
-1, 0, 1
Let j = -15 - -9. Let b be 2/j + (-7)/(-3). Factor 5*c + 4*c - 3*c**4 + 3*c**b - 6*c**3 - 2*c - c.
-3*c*(c - 1)*(c + 1)*(c + 2)
Let h = -1510 - -1512. Determine v so that 0 - 2*v**2 - 2/3*v - 2/3*v**4 - h*v**3 = 0.
-1, 0
Let s be 161/46*(2 + (-20)/14). Let k = 7 - 4. Factor 2/7*u**4 + 0 + 8/7*u + 16/7*u**s + 10/7*u**k.
2*u*(u + 1)*(u + 2)**2/7
Suppose -3*s = 3*g - 9, -9 = -3*g - 0*g + 4*s. Find u, given that 10*u**g - 3*u**4 - 2 + 7 - 12*u**4 + 10*u**2 - 15*u + 5*u**5 = 0.
-1, 1
Let p(y) be the second derivative of -y**5/100 - y**4/30 + 2*y**3/15 + 4*y**2/5 - 121*y + 2. Factor p(v).
-(v - 2)*(v + 2)**2/5
Let h(r) = 2*r**4 - 2*r**3 + 13*r**2 - 13. Let u(j) = -j**4 + j**3 - 6*j**2 + 6. Let k(f) = -6*h(f) - 13*u(f). Factor k(n).
n**3*(n - 1)
Let a(f) be the third derivative of -f**11/166320 - f**10/37800 - f**9/30240 + 3*f**5/20 + 7*f**2. Let x(o) be the third derivative of a(o). Factor x(c).
-2*c**3*(c + 1)**2
Let y(i) = -i**2 + i - 12. Let f be y(0). Let b be 3/f*3 + 70/72. Solve 0 - b*x**2 + 2/9*x = 0.
0, 1
Let s(o) be the second derivative of o**5/80 + 7*o**4/48 - o**3/3 - o + 8. Factor s(y).
y*(y - 1)*(y + 8)/4
Let r(q) be the first derivative of -4*q**3/3 - 10*q**2 - 24*q - 12. Solve r(d) = 0.
-3, -2
What is b in -16*b + 12 - 193*b**2 + 196*b**2 + 4*b = 0?
2
Let k(t) be the third derivative of t**8/5040 + t**7/1260 + 11*t**5/60 + 15*t**2. Let x(i) be the third derivative of k(i). Let x(n) = 0. Calculate n.
-1, 0
Let t(b) = -2*b**2 - 7*b. Let r(k) = k**2 + 3*k. Let u(m) = -5*r(m) - 2*t(m). Let a(y) = 3*y**2 - 21*y + 4. Let l(d) = 2*a(d) - 14*u(d). What is p in l(p) = 0?
2/5, 1
Let u be -2*(-3)/20*(-17)/(-153). Let q(z) be the second derivative of 1/12*z**4 + 1/3*z**3 + 0 - u*z**6 - 1/10*z**5 - 6*z + 0*z**2. Factor q(f).
-f*(f - 1)*(f + 1)*(f + 2)
Let x be (-2 - 15/(-10))*-8. Suppose x*o**2 + 6*o + o**2 - o**2 - o**2 = 0. Calculate o.
-2, 0
Let p(o) be the first derivative of 2*o**6/3 - 8*o**5/5 + o**4 + 180. Factor p(b).
4*b**3*(b - 1)**2
Let h be (23/3 - 3) + 6/(-9). Let i be -45 + 46 - (2 + -2 + -2). Let 1/7*j**h - 2/7 + 3/7*j + 1/7*j**2 - 3/7*j**i = 0. What is j?
-1, 1, 2
Solve 22*c - 4/3*c**3 + 6*c**2 + 28/3 = 0 for c.
-2, -1/2, 7
Let x(b) = b**2 + b. Let u(t) be the third derivative of 3*t**5/20 + t**4/4 + t**3/6 + t**2. Let p(q) = -5*u(q) + 40*x(q). Factor p(f).
-5*(f - 1)**2
Let s(i) be the third derivative of 1/12*i**6 + 0*i + 1/105*i**7 + 2/3*i**3 + 0 + 3/10*i**5 - 6*i**2 + 7/12*i**4. Find j such that s(j) = 0.
-2, -1
Factor 3194/7*p**2 - 5928/7*p + 2/7*p**4 + 2888/7 - 156/7*p**3.
2*(p - 38)**2*(p - 1)**2/7
Let g(y) be the second derivative of -y**4/30 + 14*y**3/3 - 245*y**2 + 4*y + 5. Factor g(d).
-2*(d - 35)**2/5
Let c(t) be the third derivative of 0*t - 1/24*t**6 - 1/63*t**7 - 12*t**2 + 5/1008*t**8 + 0*t**3 - 5/18*t**4 + 0 + 2/9*t**5. Let c(f) = 0. What is f?
-2, 0, 1, 2
Let m(y) = -2*y**2 - 4*y - 4. Let s be m(-3). Let b = 12 + s. Factor 3*c - c - 6*c**b - 4*c + 5*c + 6 - 3*c**3.
-3*(c - 1)*(c + 1)*(c + 2)
Let 1/3*k**3 - 32/3*k**2 + 0 + 256/3*k = 0. Calculate k.
0, 16
Suppose -3*v - 6 = -6*v. Let r(z) be the first derivative of 4 + 2/15*z**3 - 2/5*z - 1/10*z**4 + 1/5*z**v. Suppose r(g) = 0. What is g?
-1, 1
Let b be (16/9128)/(3/21). Let t = b + 6349/652. Factor 33/2*z**2 + 3/4*z**5 + 27/2*z**3 + t*z + 21/4*z**4 + 9/4.
3*(z + 1)**4*(z + 3)/4
Let z(m) be the second derivative of 5*m**4/12 - 10*m**3/3 + 10*m**2 - 12*m - 16. Factor z(g).
5*(g - 2)**2
Let f(b) be the second derivative of b**5/140 + b**4/6 + 25*b**3/42 + 6*b**2/7 + 69*b. Let f(g) = 0. Calculate g.
-12, -1
Let g be -14 + 1746/90 + 6/10. Let f(v) be the third derivative of v**2 - 1/30*v**5 + 0*v**3 + 0*v + 0 + 0*v**4 + 1/240*v**g. Determine q so that f(q) = 0.
0, 4
Let j be (-190)/(-15) + -86 + 76. Determine w, given that -82/3*w**3 - j*w - 52/3*w**2 + 0 - 3*w**5 - 47/3*w**4 = 0.
-2, -1, -2/9, 0
Suppose -207 = 27*y - 96*y. Let j be (-2)/(-27)*3*1. Determine z, given that 0 + 0*z**4 + 0*z**2 + 4/9*z**y - j*z**5 - 2/9*z = 0.
-1, 0, 1
Factor -88466 - 96*z**4 + 5220*z**3 + 108*z**5 + 11452*z**2 + 93954 + 12544*z + 1284*z**4.
4*(z + 2)**2*(3*z + 7)**3
Let u be 3/4*288/54. Let f(h) be the second derivative of 23/4*h**5 + 31/4*h**u + 5/3*h**6 + 16/3*h**3 + 2*h**2 + 0 + 2*h. Determine n, given that f(n) = 0.
-1, -1/2, -2/5
Suppose -39 = j + 2*j. Let q(c) = 3*c**2 + 6*c - 3. Let z(w) = 7 - w**2 - 5*w**2 + 53*w - 65*w. Let u(x) = j*q(x) - 6*z(x). Solve u(k) = 0 for k.
-1
Factor 8 + 591*k**3 - 1181*k**3 - 24*k**2 - 20*k + 626*k**3.
4*(k - 1)*(3*k - 1)*(3*k + 2)
Let u be 116/406 + (-681)/(-42) + 1. Let -5 + 45/2*b**2 - u*b = 0. Calculate b.
-2/9, 1
Suppose 3*n + 3*j = 0, -6*n = -n + j - 12. Find v, given that -15*v**n + 27*v**3 - 8*v**3 - 4*v**5 = 0.
-1, 0, 1
Let t(n) be the second derivative of -5*n**7/6 - 23*n**6 - 253*n**5/2 + 2120*n**4/3 - 2145*n**3/2 + 605*n**2 + 22*n - 2. Find w such that t(w) = 0.
-11, 2/7, 1
Let z(u) be the first derivative of 0*u - 3 - 1/24*u**4 + 1/120*u**5 + 0*u**3 + 9/2*u**2. Let c(o) be the second derivative of z(o). Factor c(w).
w*(w - 2)/2
Let h(t) = -33*t**4 - 57*t**3 + 165*t**2 - 144*t - 17. Let f(p) = 2*p**4 + p**3 - p**2 + 1. Let l(v) = -68*f(v) - 4*h(v). Factor l(n).
-4*n*(n - 36)*