1, 0, 1
Determine w so that 100/3 + 15*w**2 + 5/3*w**3 + 40*w = 0.
-5, -2
Let y(d) be the first derivative of 0*d - 38 - 1/4*d**5 + 5/16*d**4 + 15/8*d**2 + 25/12*d**3. Factor y(r).
-5*r*(r - 3)*(r + 1)**2/4
Let o(s) = 2*s**5 - 36*s**4 - 74*s**3 - 39*s**2 + s + 2. Let h(g) = g**5 + g**3 - g**2 + g + 2. Let d(x) = h(x) - o(x). Factor d(r).
-r**2*(r - 38)*(r + 1)**2
Suppose 7*d - 1165 = -12*d - 1108. Let -8/9 + 28/9*o**d - 4/9*o**2 + 4/3*o**4 - 28/9*o = 0. What is o?
-2, -1, -1/3, 1
Let r(b) = b**3 + 30*b**2 + 99*b + 66. Let c(y) = y**3 + y. Let n(q) = -2*c(q) + r(q). Factor n(i).
-(i - 33)*(i + 1)*(i + 2)
Let f(d) = d**3 - d**2 + d. Suppose 8*y = 3*y + 40. Let a(v) = v**2 - 7*v - 7. Let m be a(y). Let o(q) = q**2 + q. Let w(s) = m*o(s) - f(s). Factor w(k).
-k**2*(k - 2)
Let q(n) be the third derivative of n**5/60 - 13*n**4/24 + 2*n**3 + 65*n**2. Factor q(a).
(a - 12)*(a - 1)
Factor 2/15*y - 2/5 - 2/15*y**3 + 2/5*y**2.
-2*(y - 3)*(y - 1)*(y + 1)/15
Determine k, given that 11 + 108*k - 4*k**4 + k**4 + 18 + 19 + 12 + 51*k**2 = 0.
-2, -1, 5
Let n(h) be the third derivative of 0*h + 0 + 17*h**2 - 3/200*h**6 - 1/20*h**4 + 29/300*h**5 + 0*h**3. Find i such that n(i) = 0.
0, 2/9, 3
Let m = 6174 + -6172. Factor -3 - 75/4*z**3 - 135/4*z**m - 18*z.
-3*(z + 1)*(5*z + 2)**2/4
Factor -5/3*w**5 - 25*w**3 + 35/3*w**4 + 0 + 0*w + 15*w**2.
-5*w**2*(w - 3)**2*(w - 1)/3
Let 0 + 49/2*i**5 - 75/2*i**3 + 9*i**2 + 28*i**4 + 0*i = 0. What is i?
-2, 0, 3/7
Let p(z) be the first derivative of -3*z**4/32 + 13*z**3/3 + 143*z**2/16 + 9*z/2 - 471. Solve p(v) = 0 for v.
-1, -1/3, 36
Suppose 2*o + 4 + 10 = 0. Let m(g) = -g + 4. Let t be m(o). Determine f so that 3*f**3 - 40*f + 20 - 95*f**2 - 27*f**3 - t*f**3 = 0.
-2, -1, 2/7
Let g be (1 - 34/28)*(-192)/144. Suppose -3*f = 4*c - 14, -c + 3*f = -f - 13. Let g*v**c + 0 - 2/7*v**3 + 4/7*v**2 + 0*v - 4/7*v**4 = 0. Calculate v.
-1, 0, 1, 2
Solve -1/6*b**4 + 5/2*b + 0 + 13/6*b**2 - 1/2*b**3 = 0 for b.
-5, -1, 0, 3
Suppose -23*m = 80*m - 25*m. Factor 1/5*d**2 + m + 4/5*d.
d*(d + 4)/5
Let l(u) be the second derivative of 3*u**5/20 - 5*u**4/6 + u**3/6 + 3*u**2 + 66*u. Factor l(a).
(a - 3)*(a - 1)*(3*a + 2)
Suppose -21*t + 3854*t**3 + 14*t**2 - 36*t**2 - 24 - 3853*t**3 - 26*t = 0. Calculate t.
-1, 24
Let n be (-4 + 28/10)*(380/42 - 10). Suppose 2 - 58/7*g + n*g**2 = 0. What is g?
1/4, 7
Let q(a) be the first derivative of 2*a**3/9 - 17*a**2/3 + 32*a/3 - 332. Suppose q(k) = 0. What is k?
1, 16
Let d be (-8)/12*12*1/(-2). Let t(c) be the first derivative of 1/16*c**d + 5 - 1/4*c**2 + 0*c - 1/12*c**3. Solve t(w) = 0.
-1, 0, 2
Let x(y) be the second derivative of y**7/14 + 136*y**6/75 + 234*y**5/25 - 48*y**4 - 40*y**3/3 + 3*y - 9. Let x(t) = 0. What is t?
-10, -2/15, 0, 2
Let r = -1803/5 - -361. Let d(g) be the first derivative of 1/2*g**2 + 2/3*g**3 + 1 + 0*g**4 - r*g**5 + 0*g - 1/6*g**6. Factor d(o).
-o*(o - 1)*(o + 1)**3
Let v(g) be the third derivative of 2*g**7/21 + 11*g**6/24 - 13*g**5/4 + 145*g**4/24 - 25*g**3/6 - 68*g**2. Factor v(x).
5*(x - 1)**2*(x + 5)*(4*x - 1)
Let v(s) be the first derivative of s**4/2 + 4*s**3/3 - s**2 - 4*s - 36. Let v(t) = 0. Calculate t.
-2, -1, 1
Let k(b) = -b**3 - 2*b**2 + 675*b + 5. Let c be k(-27). Suppose 8/13 + 38/13*y**2 - 2*y**3 - 46/13*y**4 - 14/13*y**c + 40/13*y = 0. Calculate y.
-2, -1, -2/7, 1
Let d(q) be the second derivative of -q**5/20 + 5*q**4/12 - q**3 + 254*q. Solve d(j) = 0 for j.
0, 2, 3
Let o(k) be the second derivative of -3*k**5/140 - 2*k**4/21 + 10*k**3/21 + 8*k**2/7 + 3*k - 25. What is f in o(f) = 0?
-4, -2/3, 2
Let a be (-4)/(-5) - 3*(-42)/105. Factor 8/7*p + 0 + 2/7*p**a.
2*p*(p + 4)/7
Let s(u) be the second derivative of -u**6/1260 - u**5/420 + u**4/42 + 11*u**3/6 + 7*u. Let q(t) be the second derivative of s(t). Factor q(k).
-2*(k - 1)*(k + 2)/7
Let y = 27 + -21. Let o be 27/(-6)*(-4)/y. Determine n so that 2/11*n**o + 6/11 + 2/11*n**2 - 10/11*n = 0.
-3, 1
Let t(v) = -10*v**3 + 79*v**2 - 252*v + 139. Let n(z) = -2*z**3 + 16*z**2 - 50*z + 28. Let y(c) = 11*n(c) - 2*t(c). Factor y(k).
-2*(k - 5)*(k - 3)*(k - 1)
Let m(c) = 22*c**3 + 18*c**2 - 6*c - 16. Let t(g) = -41*g**3 - 35*g**2 + 11*g + 32. Let x(s) = 11*m(s) + 6*t(s). Solve x(k) = 0 for k.
-2, 1
Let h(t) = -t**3 + 9*t**2 + 2*t - 16. Let u be h(9). Suppose 22 = 13*x - u*x. Factor -1/2*w**x + 1 - 1/2*w.
-(w - 1)*(w + 2)/2
Let m(p) = -4*p**5 - 10*p**4 + 2*p**3 + 8*p**2 + 2*p - 10. Let b(k) = -k**4 - k**3 + k - 1. Suppose 0 = -x + 11 - 12. Let w(s) = x*m(s) + 6*b(s). Factor w(q).
4*(q - 1)**2*(q + 1)**3
Let w(i) be the third derivative of 0 - 1/510*i**6 + 4/595*i**7 - 2/255*i**5 + 1/204*i**4 + 6*i**2 + 0*i + 0*i**3 + 3/952*i**8. Factor w(d).
2*d*(d + 1)**2*(3*d - 1)**2/17
Let r(f) be the second derivative of f**9/3024 + 5*f**8/1344 + f**7/126 - 5*f**4/12 + 16*f. Let q(p) be the third derivative of r(p). Factor q(l).
5*l**2*(l + 1)*(l + 4)
Let x be (-4)/(-18)*-3 + (-8)/(-12). Let j(p) be the third derivative of 0*p + 2*p**2 + x + 1/150*p**5 + 3/5*p**3 - 1/10*p**4. Let j(t) = 0. What is t?
3
Let k be (-220)/(180/(-9)) - 11. Solve -2/15*j**2 + k + 4/15*j = 0 for j.
0, 2
Let p(x) be the first derivative of x**5/15 - 23*x**4/24 + 47*x**3/9 - 40*x**2/3 + 16*x - 32. Factor p(w).
(w - 4)**2*(w - 2)*(2*w - 3)/6
Let c(m) = -m**3 - m**2 + m - 1. Let l(h) = 29*h**3 + 34*h**2 + 5*h + 4. Suppose -7*f = -8*f + 3. Let u(s) = f*l(s) + 12*c(s). Factor u(a).
3*a*(5*a + 3)**2
Let z(b) = -40*b + b**2 - 2*b**2 + 41*b. Let p(h) = -8*h**2 + 9*h - 4. Let o(f) = 4*p(f) - 36*z(f). Solve o(k) = 0.
-2, 2
Let n(s) be the first derivative of 2*s**6/3 - 24*s**5/5 + 11*s**4 - 8*s**3 + 532. Find z such that n(z) = 0.
0, 1, 2, 3
Suppose 0*m - 5*m + 40 = 0. Let j be ((-264)/1188)/((-2)/24). Factor -j*u + 0 - 10/3*u**3 + m*u**2.
-2*u*(u - 2)*(5*u - 2)/3
Let w(r) = -r**2 - 12*r - 10. Let v be w(-8). Let -72*j**2 - 96*j + 10 - 3*j**4 - 9 - 2*j**3 - 49 - v*j**3 = 0. What is j?
-2
Let p be 21 + -13 + -2*(2 - 1/(-2)). Factor 4/11*r**2 - 12/11 - 2/11*r**p + 10/11*r.
-2*(r - 3)*(r - 1)*(r + 2)/11
Let y be 6/(-3)*(-741)/6. Let z = -113 + y. Determine o, given that z*o**4 + 56*o**3 - 4 + 36*o**5 - 126*o**5 - 92*o**2 + 34*o - 38*o**4 = 0.
-1, 1/3, 2/5, 1
Let g(y) be the third derivative of y**6/120 + y**5/10 - 25*y**4/24 + 3*y**3 - 3*y**2 - 34. Factor g(z).
(z - 2)*(z - 1)*(z + 9)
Let s be 10/(-15) + 6 + (-322)/147. Factor 6/7*l**2 + 12/7 + s*l.
2*(l + 3)*(3*l + 2)/7
Let b = 193 + -190. Let p(d) be the first derivative of 1/12*d**b + 8 + 1/8*d**2 + 0*d. Find g such that p(g) = 0.
-1, 0
Let h(l) = l**2 - 4*l. Suppose -23 + 19 = 2*s. Let n(u) = -u**2 + u. Let g(q) = s*n(q) - h(q). Suppose g(k) = 0. What is k?
-2, 0
Let v(u) be the first derivative of -25*u**6/6 - 68*u**5 + 915*u**4/4 - 710*u**3/3 + 80*u**2 + 245. Solve v(j) = 0 for j.
-16, 0, 2/5, 1
Let d = 12 - 10. Let p(y) be the first derivative of -3*y**4/2 + y**2/2 - 9. Let a(q) = 3*q**3 - q. Let o(n) = d*p(n) + 5*a(n). Let o(r) = 0. Calculate r.
-1, 0, 1
Let d = 614 - 610. Let p(m) be the second derivative of 0*m**2 - 4*m - 1/3*m**3 + 0 + 1/6*m**d. Factor p(j).
2*j*(j - 1)
Let r(h) be the first derivative of -32*h + 4*h**2 + 25 - 1/6*h**3. Solve r(z) = 0 for z.
8
Let r = -286 + 293. Let o(b) be the third derivative of 0*b + 0*b**3 - 1/735*b**r - 7*b**2 + 1/210*b**6 + 1/70*b**5 + 0*b**4 + 0. Factor o(m).
-2*m**2*(m - 3)*(m + 1)/7
Let p(t) = 16*t**3 - 30*t**2 - 5*t + 7. Let l(u) = 2*u**3 - u**2 + u + 1. Let f(h) = 22*l(h) - 2*p(h). Determine k so that f(k) = 0.
-2, -2/3, -1/2
Let v be ((-33)/154)/(1 - 19). Let h(p) be the second derivative of -v*p**7 + 1/20*p**5 + 0 - 1/12*p**3 + 0*p**2 - 4*p + 0*p**4 + 0*p**6. Factor h(u).
-u*(u - 1)**2*(u + 1)**2/2
Let d(z) be the first derivative of -27*z**5/10 + 3*z**4 - 4*z**3/3 + 12*z**2 + 25. Let s(u) be the second derivative of d(u). Find w, given that s(w) = 0.
2/9
Let o(s) = -1575*s**3 - 510*s**2 + 27*s - 30. Let l(q) = 225*q**3 + 73*q**2 - 4*q + 4. Let v(y) = 15*l(y) + 2*o(y). Find b, given that v(b) = 0.
-2/5, 0, 1/15
Let z = -132 - -793/6. Let t(l) be the first derivative of 5 + z*l**6 + 0*l + 0*l**4 - 2/3*l**3 + 2/5*l**5 - 1/2*l**2. Solve t(m) = 0.
-1, 0, 1
Solve -6/13*x**4 + 2/13*x + 0 - 10/13*x**2 + 14/13*x**3 = 0.
0, 1/3, 1
Suppose 47 - 137 = -9*a. Let k be (-2)/(a/(-6) 