 Solve k*z**2 + 9/2 - 3*z = 0 for z.
3
Let r = 25 - 15. Let l = 14 - r. Factor 21*p - 3*p**l - 3 - 15*p**2 + 15*p**3 - 12*p**2 + 1 - 4.
-3*(p - 2)*(p - 1)**3
Let s(l) be the third derivative of -41/20*l**5 - 3*l**2 + 0*l**3 + 3/4*l**4 - 9/112*l**8 + 0 - 39/70*l**7 + 0*l + 83/40*l**6. Solve s(k) = 0 for k.
-6, 0, 1/3, 1
Let k(q) be the second derivative of 0 - 4*q - 1/50*q**5 + 1/10*q**4 + 0*q**3 - 4/5*q**2. Find p such that k(p) = 0.
-1, 2
Let r(v) be the first derivative of 49*v**5/270 - 4*v**3/27 + v**2 + 8*v - 12. Let o(q) be the second derivative of r(q). Suppose o(a) = 0. What is a?
-2/7, 2/7
Let y(g) be the first derivative of -g**3/2 - 21*g**2/2 - 36*g + 525. What is m in y(m) = 0?
-12, -2
Let n = 130 + -128. Solve 0*p - 54/11 + 2/11*p**4 + 36/11*p**n - 16/11*p**3 = 0 for p.
-1, 3
Let k be 4/(-16)*8*(-1)/7. Let j be 8/70*40/16. Suppose k*r**3 - 2/7*r + 2/7 - j*r**2 = 0. Calculate r.
-1, 1
Let s(w) be the second derivative of -w**7/105 - 8*w**6/75 + 2*w**5/5 - w**4/15 - 19*w**3/15 + 2*w**2 - 135*w. Suppose s(u) = 0. What is u?
-10, -1, 1
Let j be (6/(-525))/((-111)/8010). Let y = j - -6/185. Suppose y*d + 0 - 2/7*d**2 = 0. Calculate d.
0, 3
Let d(j) be the second derivative of 1/48*j**4 - 1/48*j**3 + 1/96*j**5 - 5/2*j**2 - 3*j + 0. Let o(p) be the first derivative of d(p). Let o(r) = 0. What is r?
-1, 1/5
Let 0*s - 35/2*s**3 + 11/2*s**4 + 0 + 25/2*s**2 - 1/2*s**5 = 0. Calculate s.
0, 1, 5
Solve -6*m**3 + 433*m**4 - 220*m**4 - 216*m**4 - 3*m**2 = 0 for m.
-1, 0
Let o(v) be the first derivative of -v**7/5460 - v**6/780 + v**5/195 - 2*v**3 + 8. Let l(f) be the third derivative of o(f). Factor l(y).
-2*y*(y - 1)*(y + 4)/13
Suppose 2*f = -0*f + 3*a - 3, 5*f = 3*a - 3. Let k = 14 - 12. Factor -3/7*w**k + 6/7*w + f.
-3*w*(w - 2)/7
Let j(w) be the first derivative of 2*w**3/27 + w**2 + 28*w/9 - 493. Let j(c) = 0. Calculate c.
-7, -2
Suppose -15/4*y + 3/4*y**2 - 3/2*y**5 + 3/4*y**4 - 3/2 + 21/4*y**3 = 0. Calculate y.
-1, -1/2, 1, 2
Let h(w) = w**3. Let f(t) = 6*t**3 + 3*t. Let y(u) = -f(u) + 9*h(u). Let y(g) = 0. What is g?
-1, 0, 1
Let g(l) be the first derivative of 2*l**5/35 + l**4/7 - 16*l**3/21 + 276. Solve g(x) = 0.
-4, 0, 2
Let p(g) be the third derivative of g**7/42 - 23*g**6/12 + 44*g**5 + 115*g**4/12 - 2645*g**3/6 + 450*g**2. Solve p(q) = 0.
-1, 1, 23
Factor 4*c + 8 - 15 + 6 + 9 - 4*c**2.
-4*(c - 2)*(c + 1)
Let b = 742 - 2224/3. Factor 1/3*w**2 - b - 1/3*w.
(w - 2)*(w + 1)/3
Let g be ((-1)/(-8))/((-88)/(-176)). Let l be 2/4*-6*-1. Factor 5/4*w**2 - w + g - 1/2*w**l.
-(w - 1)**2*(2*w - 1)/4
Solve 316/9 - 370/3*u + 14/9*u**2 = 0.
2/7, 79
Suppose 0 = -6*m + 2*m + 12, -4*q + 5*m = 3. What is d in 0 - 3*d**q + 42*d**2 - 21/2*d**4 + 12*d = 0?
-2, -2/7, 0, 2
Suppose -1945*l + 32805*l**4 - 3*l**2 + 1945*l + 23*l**2 - 1620*l**3 = 0. Calculate l.
0, 2/81
Let m(q) be the third derivative of 0 + 0*q**3 + 1/180*q**5 - 16*q**2 + 0*q + 1/36*q**4 - 1/360*q**6. What is b in m(b) = 0?
-1, 0, 2
Let k(t) be the first derivative of -5*t**3/3 + 585*t**2 - 68445*t + 349. Factor k(c).
-5*(c - 117)**2
Let u(n) be the first derivative of 2*n**5/15 - 34*n**3/9 - 12*n**2 - 40*n/3 - 109. Factor u(q).
2*(q - 5)*(q + 1)*(q + 2)**2/3
Let y(w) = -2*w**2 + 70*w + 76. Let a be y(36). Determine t, given that 2/7*t**a - 8/7 + 6*t**5 + 32/7*t - 74/7*t**3 + 6/7*t**2 = 0.
-1, 2/7, 2/3, 1
Let y(p) = p**3 + 8*p**2 + 2*p + 18. Let x be (-4)/(12/(-15)) + -13. Let w be y(x). Factor -3*z**w + 1/3*z**3 - 16/3 + 8*z.
(z - 4)**2*(z - 1)/3
Let n(f) = -f**2 + 18*f. Let l(m) = -m - 1. Suppose 4*v = -v + 25. Let k(p) = v*l(p) + n(p). Let b(o) = -4*o + 2. Let u(q) = -7*b(q) - 2*k(q). Factor u(t).
2*(t - 1)*(t + 2)
Factor -1/5*n**3 - 1/5*n**2 + 4/5 + 4/5*n.
-(n - 2)*(n + 1)*(n + 2)/5
Let n(b) = -b**2 - 6*b - 4. Let t be n(-3). Let d = t - 1. Factor -5*c**4 - c + d*c**5 - 4*c**2 - 4*c**3 + c + 9*c**4.
4*c**2*(c - 1)*(c + 1)**2
Let r(m) = 7*m**2 + 40*m + 97. Let o(d) = 17*d + 23*d + 8*d**2 + 68 - 13 + 41. Let h = -65 - -61. Let n(v) = h*r(v) + 3*o(v). Find k such that n(k) = 0.
-5
Let z = 906/679 - 74/97. Let -4/7*l**3 + 0*l**2 + 0 + 0*l - z*l**4 = 0. Calculate l.
-1, 0
Let j(q) be the third derivative of q**6/1260 - q**5/210 + q**4/84 - 5*q**3/3 + 7*q**2. Let i(r) be the first derivative of j(r). Factor i(c).
2*(c - 1)**2/7
Factor 30*l**3 + 84*l**2 - 29*l**3 - 23*l**3 + 48 + 280*l.
-2*(l - 6)*(l + 2)*(11*l + 2)
Let h = 37 - 33. Factor -h*q**3 - 4 - 4*q - 2*q - 6*q - 12*q**2.
-4*(q + 1)**3
Let p(o) be the second derivative of o**6/2160 + o**5/360 + o**4/144 - o**3/6 - 4*o. Let w(f) be the second derivative of p(f). Find b such that w(b) = 0.
-1
Suppose 2/5*y**2 + 8/5 - 8/5*y = 0. What is y?
2
Let d(p) be the first derivative of 2*p**5/5 + 5*p**4/2 - 22*p**3/3 - 33*p**2 - 36*p - 28. Factor d(m).
2*(m - 3)*(m + 1)**2*(m + 6)
Suppose -p**4 + 7/5*p**2 + 3/5*p - 2/5 - 3/5*p**3 = 0. Calculate p.
-1, 2/5, 1
Let s(m) be the second derivative of m**4/2 - 21*m**3/2 + 15*m**2 + 72*m. Factor s(x).
3*(x - 10)*(2*x - 1)
Let j = 91/15 - 29/5. Let l(f) be the first derivative of 2/5*f**4 + 0*f - j*f**6 + 2/25*f**5 + 0*f**2 - 2/15*f**3 - 6. Let l(o) = 0. Calculate o.
-1, 0, 1/4, 1
Let y = 35 - 33. Suppose -s = y*s - 9. Factor 0*h + 8/3*h**4 - h**5 + 2/3*h**2 - 7/3*h**s + 0.
-h**2*(h - 1)**2*(3*h - 2)/3
Let o(r) be the second derivative of -r**7/2940 + r**6/630 - 11*r**3/6 + 16*r. Let f(y) be the second derivative of o(y). Factor f(s).
-2*s**2*(s - 2)/7
Let 16*z + 28/5*z**3 + 72/5*z**2 + 32/5 + 4/5*z**4 = 0. Calculate z.
-2, -1
Let f = 7977 - 7953. Find s, given that -399/5*s**2 - 48/5*s**5 - 12/5 - 507/5*s**3 - f*s - 264/5*s**4 = 0.
-2, -1, -1/4
Suppose b - 3*m + 4*m - 9 = 0, b + 2*m - 13 = 0. Factor 4 - 14*n**3 + 25*n + 2*n**b + 6 + 10*n**2 - 20*n**4 - 6*n**3 - 7*n**5.
-5*(n - 1)*(n + 1)**3*(n + 2)
Suppose 2*r = -3*a + 21, -r - 5*a - 3 = -31. Factor r*y**2 + 3*y - y**3 - 1 - 4 + 2 - 2*y**3.
-3*(y - 1)**2*(y + 1)
Let y(b) be the third derivative of -b**7/1260 + b**6/60 - b**5/12 - 9*b**4/4 - 21*b**2. Let c(q) be the second derivative of y(q). Let c(f) = 0. Calculate f.
1, 5
Let k(y) = -y + 12. Let h be k(13). Let v be -1 - (-2 + h - 0). Factor 17*t**3 - 10*t**2 - 8*t - v*t**2 - 21*t**3.
-4*t*(t + 1)*(t + 2)
Factor 4*j**5 + 142*j**2 - 168*j**3 - 60*j + 24*j**4 + 41*j**4 + 34*j**2 - 17*j**4.
4*j*(j - 1)**3*(j + 15)
Let f(y) = 7*y**3 - 96*y**2 - 236*y - 39. Let d(l) = -l**3 + 16*l**2 + 40*l + 6. Let n(m) = 39*d(m) + 6*f(m). Factor n(g).
3*g*(g + 4)*(g + 12)
Suppose -4 - 20*l**2 - 4 + 16*l**2 - 7 - 16*l + 3 = 0. What is l?
-3, -1
Let x(s) be the third derivative of -1/200*s**6 + 0*s + 36*s**2 + 0 + 0*s**4 + 1/50*s**5 + 0*s**3. Determine m so that x(m) = 0.
0, 2
Let i = 21 + -19. Suppose -26*v**i + 3*v**4 + 9*v**2 + 14*v**2 - 6*v + 6*v**3 = 0. What is v?
-2, -1, 0, 1
Suppose -2*p - 4*f = -2*f - 22, 0 = -f. Let i = p + -9. Factor 2*a**4 + i*a**2 + 2*a**2 - 4*a**2.
2*a**4
Let d = 16041/4537 - -1/349. Let 8/13*j**5 - 22/13*j**3 - 10/13*j**4 + d*j**2 - 2*j + 4/13 = 0. What is j?
-2, 1/4, 1
Solve -80 + 19*f + 11*f - 9*f + 24*f - 5*f**2 + 5*f = 0.
2, 8
Let p(f) be the third derivative of f**8/168 - 4*f**7/35 + 14*f**6/15 - 21*f**5/5 + 45*f**4/4 - 18*f**3 - 2*f**2 - 52*f. Factor p(w).
2*(w - 3)**3*(w - 2)*(w - 1)
Let a be (-2)/(-10)*5 + -14 + 13. Find v, given that 2/7*v + 1/7*v**2 + a - 1/7*v**3 = 0.
-1, 0, 2
Let y(w) = 6*w**4 - 10*w**3 + 26*w**2 + 4*w - 28. Let u(h) = 5*h**4 - 10*h**3 + 25*h**2 + 4*h - 28. Let f(a) = -5*u(a) + 4*y(a). Let f(p) = 0. What is p?
-1, 2, 7
Let f(k) be the first derivative of 4*k**3 - 26*k**2 - 40*k + 115. What is q in f(q) = 0?
-2/3, 5
Let d(r) be the third derivative of 0*r + 5/168*r**7 - 5/48*r**5 + 0 + 1/48*r**6 + 0*r**3 - 5/48*r**4 - 4*r**2. Determine g so that d(g) = 0.
-1, -2/5, 0, 1
Suppose -3*f - 30 = 2*f. Let l be f*-3*(-4)/(-24). Suppose d + 2*d**l + 7*d + 8*d**2 + 0*d = 0. What is d?
-2, 0
Factor 3651 - 3651 - 4*f**3 + 68*f**2.
-4*f**2*(f - 17)
Suppose 2*h + 7*h - 3357 = 0. Let s = h - 3353/9. Find w, given that s*w**3 + 0 - 2/9*w**4 + 0*w + 0*w**2 = 0.
0, 2
Let q(u) be the third derivative of -1/180*u**6 + 1/9*u**4 + 0*u - 1/504*u**8 + 15*u**2 + 1/9*u**5 + 0 - 4/315*u**7 - 8/9*u**3. Solve q(t) = 0 for t.
-2, 1
Suppose -5*k + 5 + 5 = 0. Suppose -j + 29 = -5*q, 2*j - 18 = 4*q