h - 615 + 48, 5*q - 945 = 3*h. Let v = -132 + q. Factor -v*n**2 + 4*n**3 + 53*n**2 - 2*n**3.
2*n**2*(n - 2)
Suppose -n + 13 = 3*v, -3*v + 13*n + 14 = 15*n. Let p(x) be the first derivative of 3/8*x**v - 3/2*x**3 - 4 + 9/4*x**2 - 3/2*x. Factor p(s).
3*(s - 1)**3/2
Let j(g) = -37*g**5 + 125*g**4 - 49*g**3 - 115*g**2 + 95*g - 13. Let c(f) = -f**5 - 2*f**3 + 1. Let d(n) = 3*c(n) + j(n). Suppose d(i) = 0. What is i?
-1, 1/8, 1, 2
Let x(i) be the third derivative of 3*i**2 + 1/3*i**3 + 1/12*i**4 - 1/15*i**5 + 1/105*i**7 + 0*i + 0 - 1/30*i**6 + 1/168*i**8. Factor x(m).
2*(m - 1)**2*(m + 1)**3
Suppose -5*k + 15 = 0, -9 = -2*y - 0*k - k. Suppose 3*b - y*w + 4 = -2*w, 4*b = -4*w + 16. Suppose 3 - 2*v**2 + b*v**4 - 3*v**4 - 2 + 4*v**4 = 0. What is v?
-1, 1
Let v(h) = 6*h**2 + 6*h - 17. Let i(n) = -15*n + 22 + 25 - 15*n**2 - 1 - 4. Let b(c) = -5*i(c) - 12*v(c). Factor b(o).
3*(o - 1)*(o + 2)
Let -15123/5 - 426/5*o - 3/5*o**2 = 0. What is o?
-71
Let f = -775967/78380 + 1/15676. Let r = -47/5 - f. Determine z so that 1/2 + z + r*z**2 = 0.
-1
Let v(b) = -b**2 + 134*b - 2886. Let f be v(107). Factor -2/5*c**f + 2/5*c - 2/5*c**2 + 2/5.
-2*(c - 1)*(c + 1)**2/5
Let i = 72 - 498/7. Let z(y) be the first derivative of -15/28*y**4 - 8/7*y**3 + 4 - i*y**2 + 0*y - 3/35*y**5. What is f in z(f) = 0?
-2, -1, 0
Let d(w) be the first derivative of -w**4/54 + 8*w**3/27 - 16*w**2/9 - 10*w - 16. Let o(c) be the first derivative of d(c). Factor o(r).
-2*(r - 4)**2/9
Let m(f) = 8*f**2 + 58*f + 18. Let x be m(-7). Let d(a) be the first derivative of 2*a**x + 0*a - 2/3*a**6 + 0*a**5 + 0*a**3 + 8 - 2*a**2. Factor d(u).
-4*u*(u - 1)**2*(u + 1)**2
Let m(v) be the third derivative of 3/2*v**3 - 1/14*v**7 + 0*v + 1/10*v**5 - 20*v**2 - 1/112*v**8 - 3/20*v**6 + 7/8*v**4 + 0. Determine l so that m(l) = 0.
-3, -1, 1
Let n(w) = -w**2 - 9*w + 10. Let b be n(-10). Let a be (-5)/25*0 - (b + -2). Find m such that 6/7*m**3 - a*m**2 - 6/7*m + 10/7*m**4 + 4/7 = 0.
-1, 2/5, 1
Let w(y) be the second derivative of y**5/4 + 5*y**4/6 - 10*y**3/3 - 20*y**2 - 2*y + 2. Factor w(v).
5*(v - 2)*(v + 2)**2
Let a be (1 - (-1264)/(-18)) + 64/96. Let m = a + 71. Factor -m*o**2 - 1/9*o**4 - 8/3*o - 1 - 8/9*o**3.
-(o + 1)**2*(o + 3)**2/9
Let j(z) be the first derivative of -z**4/3 + 20*z**3/9 + 44*z**2/3 + 64*z/3 - 102. Factor j(f).
-4*(f - 8)*(f + 1)*(f + 2)/3
Let o be 1*(20 + (3 - 4)). Factor -22*c**5 + c**3 - 3*c**4 + 2*c**3 + 3*c**2 + o*c**5.
-3*c**2*(c - 1)*(c + 1)**2
Let 1364*q - 2454 - 774*q + 4295 + 15564 + 5*q**2 = 0. What is q?
-59
Let b(k) = -5*k**5 - k**4 + k**3 - 7*k**2. Let i(j) = -6*j**5 - 2*j**4 - 8*j**2 + j. Let v(s) = 5*b(s) - 4*i(s). Find w such that v(w) = 0.
-1, 0, 1, 4
Factor -3/4 - 3/8*z**3 + 3/8*z + 3/4*z**2.
-3*(z - 2)*(z - 1)*(z + 1)/8
Let a(z) be the first derivative of -3 + 2/7*z + 2/21*z**3 + 2/7*z**2. Suppose a(j) = 0. What is j?
-1
Let o(k) be the third derivative of -7*k**5/270 + 13*k**4/36 - 20*k**3/27 + 32*k**2 - 2*k. Factor o(a).
-2*(a - 5)*(7*a - 4)/9
Factor 1/3*q**3 + 0*q - 3*q**2 + 0.
q**2*(q - 9)/3
Let w(l) be the first derivative of 2*l**5/55 - 13*l**4/22 - 28*l**3/33 + 192. Factor w(z).
2*z**2*(z - 14)*(z + 1)/11
Let w(d) be the second derivative of 125*d**7/504 + 5*d**6/54 + d**5/90 + 7*d**3/2 + 29*d. Let m(b) be the second derivative of w(b). Solve m(a) = 0 for a.
-2/25, 0
Let v(m) be the third derivative of -m**6/480 + 13*m**5/240 - 13*m**4/32 + 9*m**3/8 + 46*m**2 - 1. What is c in v(c) = 0?
1, 3, 9
Factor -6/7*i**3 + 0*i**2 + 6/7*i + 0.
-6*i*(i - 1)*(i + 1)/7
Let g(y) be the first derivative of -9*y**4/4 - 7*y**3 + 27*y**2 - 24*y - 459. Solve g(f) = 0.
-4, 2/3, 1
Let c(j) be the first derivative of -3*j**4/32 + 3*j**3/8 + 75*j**2/16 - 225*j/8 + 962. Factor c(s).
-3*(s - 5)*(s - 3)*(s + 5)/8
Let z(o) be the second derivative of 0*o**2 - 3/2*o**3 + 0 - 1/4*o**4 + 24*o. Factor z(v).
-3*v*(v + 3)
Let i be 9*5/((-675)/(-6)). Let j be (-1)/2*(-2 - -2). Determine y, given that i*y + 2/5*y**2 + j = 0.
-1, 0
Let b(g) = -3*g**4 + 5*g**3 + 3*g**2 - 5*g + 2. Let m(z) = 10*z**2 - z**4 + 4 - 5 - 9*z**2. Let v(a) = b(a) + 2*m(a). Suppose v(u) = 0. Calculate u.
-1, 0, 1
Let m(f) be the third derivative of 3*f**7/70 - f**6/20 - f**5/4 + 240*f**2 - 1. What is b in m(b) = 0?
-1, 0, 5/3
Suppose 4/7*b**5 + 8/7*b**2 + 0 - 8/7*b**4 + 0*b - 4/7*b**3 = 0. What is b?
-1, 0, 1, 2
Let h be (1 - (-169)/5)/(4/(-15)). Let w = h + 131. Suppose -w + 1/2*q - 1/2*q**3 + 1/2*q**2 = 0. What is q?
-1, 1
Let v(s) be the second derivative of s**6/2 + 249*s**5/20 + 23*s**4/2 - 16*s**3 + 3*s + 119. Factor v(p).
3*p*(p + 1)*(p + 16)*(5*p - 2)
Suppose -188/7*p - 8836/7 - 1/7*p**2 = 0. Calculate p.
-94
Let o(t) = 3*t**3 - 6*t**2 + 23*t - 20. Let z(g) = -13*g**3 + 23*g**2 - 93*g + 81. Suppose -r - 36 = -3*r. Let c(m) = r*o(m) + 4*z(m). Factor c(l).
2*(l - 3)**2*(l - 2)
Factor 12/5*c - 3/5*c**4 - 3/5 - 18/5*c**2 + 12/5*c**3.
-3*(c - 1)**4/5
Let a(v) = 5*v**3 - 30*v**2 - 198*v - 388. Let q(t) = -4*t**3 + 29*t**2 + 195*t + 390. Let g(z) = -5*a(z) - 6*q(z). Factor g(r).
-(r + 4)*(r + 10)**2
Let r be (18/(-45))/((6/10)/(-3)). Suppose 3/5*w**r + 6/5*w - 9/5 = 0. What is w?
-3, 1
Let c = -8115 + 89271/11. Factor 2/11 + 6/11*d**2 - 2/11*d**3 - c*d.
-2*(d - 1)**3/11
Let v(w) = w**3 + 3*w**2 - 11*w + 2. Let b be v(2). Solve -3/5*o**2 + b + 0*o = 0 for o.
0
Let i(o) be the first derivative of 1/6*o**2 - 3 - 1/9*o**3 + 2*o. Find s, given that i(s) = 0.
-2, 3
Let v(f) be the second derivative of -f**5/10 + 3*f**4/2 + f**3/3 - 9*f**2 + 156*f. Factor v(m).
-2*(m - 9)*(m - 1)*(m + 1)
Suppose -6*r + 144 = -0*r. Let n be (-1)/4*-1 - (-6)/r. Factor 0 - n*u**4 - 1/2*u - 3/2*u**3 - 3/2*u**2.
-u*(u + 1)**3/2
Let q(y) = y - 5. Let o(i) = -5*i**2 - 790*i + 815. Let a(t) = o(t) + 5*q(t). Determine d so that a(d) = 0.
-158, 1
Let v be (-4)/((-24)/10) + (-2 - -3). Solve -2/3*x**3 - 10/3*x - 4/3 + 8*x**2 - v*x**4 = 0.
-2, -1/4, 1
Let y be (0/(-1))/((-156)/(-52) - (-1 - 2)). What is k in -20/7*k**4 - 32/7*k**3 + y + 0*k - 12/7*k**2 = 0?
-1, -3/5, 0
Let c(s) = 8*s + 8. Let a(w) = 7*w + 8. Let v(o) = -6*a(o) + 5*c(o). Let g be v(-6). Let -f**4 - 4*f**4 + 15*f**4 + 4*f**3 - 10*f**2 - g*f = 0. What is f?
-1, -2/5, 0, 1
Suppose 3/2*m**3 - 42*m - 24 - 18*m**2 + 3/2*m**4 = 0. Calculate m.
-2, -1, 4
Let v(t) be the first derivative of t**4/26 + 4*t**3/13 - 15*t**2/13 + 16*t/13 + 88. Let v(i) = 0. What is i?
-8, 1
Let s(f) be the first derivative of -5*f**6/4 + 21*f**5/10 - 3*f**4/4 - 400. Solve s(i) = 0 for i.
0, 2/5, 1
Let j(p) be the second derivative of -p**7/1470 + p**6/630 + p**5/210 - p**4/42 + 11*p**3/6 + 13*p. Let a(w) be the second derivative of j(w). Factor a(x).
-4*(x - 1)**2*(x + 1)/7
Solve -12*g - 8*g**2 + 6*g**2 - 4*g**2 + 3*g**2 + 36 = 0 for g.
-6, 2
Solve 1/4*u**2 - 3/4*u - 1 = 0.
-1, 4
Let 8/7 + 38/7*x**3 + 2/7*x**5 + 2*x**4 + 50/7*x**2 + 32/7*x = 0. Calculate x.
-2, -1
Let d(n) be the third derivative of -n**6/240 + 23*n**5/24 - 203*n**4/3 - 841*n**3/3 - 57*n**2 + 3. Factor d(z).
-(z - 58)**2*(z + 1)/2
Let t(f) = 2*f**3 + 78*f**2 - 249*f + 126. Let h be t(-42). Let 0*i - 3/5*i**5 - 12/5*i**4 + h - 6/5*i**2 - 3*i**3 = 0. Calculate i.
-2, -1, 0
Let h(o) be the first derivative of -9/4*o**4 + 0*o**2 - 3/5*o**5 - 5 + 0*o**3 + 0*o. Suppose h(g) = 0. Calculate g.
-3, 0
Let x(v) be the second derivative of 0*v**3 - 18/35*v**5 + 0 - 24*v - 2/21*v**6 - 17/21*v**4 + 8/7*v**2. Let x(m) = 0. Calculate m.
-2, -1, 2/5
Factor -13*l**2 - 20*l**2 + 2500*l + 3*l**3 + 0*l**3 + l**3 + 233*l**2.
4*l*(l + 25)**2
Let p(o) be the third derivative of -29*o**2 + 1/3*o**3 + 1/60*o**5 + 0*o + 0 + 11/72*o**4. Factor p(q).
(q + 3)*(3*q + 2)/3
Let k(f) be the first derivative of -f**6/180 + f**5/12 - f**4/2 + f**3/3 - 24. Let w(c) be the third derivative of k(c). Factor w(d).
-2*(d - 3)*(d - 2)
Let d be 1 - 2 - (3 - 2)*-4. Let c be d/9*11 - 1. Factor -10/3*u + c*u**2 + 2/3.
2*(u - 1)*(4*u - 1)/3
Let l(u) = 4*u**3 + 6*u**2 - u. Let y(n) be the second derivative of -n**5/20 - n**4/12 + n**3/6 + 17*n. Let z(h) = -l(h) - 3*y(h). Let z(s) = 0. Calculate s.
-2, -1, 0
Let w(p) be the second derivative of p**6/90 + 2*p**5/15 + 5*p**4/12 - 2*p**3/9 - 10*p**2/3 - 47*p + 2. Determine r so that w(r) = 0.
-5, -2, 1
Let i be 20*43/47300 - (-4)/22. Suppose i*o**2 + 1/5 + 