t a be 1/(-2*1)*(-21 + 24 + -3). Factor 0 - 2/7*w**2 + a*w.
-2*w**2/7
Factor 386 - 20*o + 50*o - 361 + 5*o**2.
5*(o + 1)*(o + 5)
Let z(f) be the second derivative of -2*f**2 - 1/3*f**3 - 1/270*f**5 + 1/18*f**4 + 0 + 5*f. Let c(t) be the first derivative of z(t). Factor c(m).
-2*(m - 3)**2/9
Let v(d) be the first derivative of 7*d**6/15 + 8*d**5/5 + 11*d**4/6 + 2*d**3/3 + 11*d + 4. Let a(y) be the first derivative of v(y). Factor a(g).
2*g*(g + 1)**2*(7*g + 2)
Suppose 3*a = -r + 21, 0 = -29*a + 33*a - 3*r + 11. What is t in 4*t - 8/3 + 11*t**3 + 7/3*t**a + 46/3*t**2 = 0?
-2, -1, 2/7
Let p(u) be the second derivative of 5*u**4/12 - 215*u**3/3 - 435*u**2/2 + 492*u. Determine f so that p(f) = 0.
-1, 87
Let n = 18385 - 55153/3. Find s such that 0 + 2/3*s**3 + n*s**2 + 0*s = 0.
-1, 0
Let k(a) be the second derivative of -a**7/273 + a**6/195 + 3*a**5/130 - a**4/78 - 2*a**3/39 - 34*a - 3. Determine y, given that k(y) = 0.
-1, 0, 1, 2
Suppose -2*i - 5*k = -15, -12*i = -7*i + 4*k - 12. Factor 3/8*m**2 + i - 3/4*m.
3*m*(m - 2)/8
Let l(q) be the third derivative of -7*q**7/10 - 77*q**6/40 - 8*q**5/5 - q**4/2 - 112*q**2. Factor l(d).
-3*d*(d + 1)*(7*d + 2)**2
Let f(g) be the third derivative of g**5/30 - 5*g**4/12 - 25*g**2. Solve f(x) = 0 for x.
0, 5
Factor -16*k**4 - 1900*k**2 + 464*k**3 - 1896*k**2 + 3172*k - 1150 + 3092*k - 1766.
-4*(k - 1)**2*(2*k - 27)**2
Factor 9 - 1/4*d**2 + 9/4*d.
-(d - 12)*(d + 3)/4
Let v(i) be the second derivative of -i**9/5040 + i**7/140 - i**6/30 + 3*i**5/40 + 4*i**4/3 - 5*i. Let t(w) be the third derivative of v(w). Factor t(s).
-3*(s - 1)**3*(s + 3)
Let p = 41 + -38. Factor t - t**3 + 2*t**p - t + 3*t + 4*t**2.
t*(t + 1)*(t + 3)
Factor 1/6*f**3 + 7/6*f**2 - 13/6*f + 1 - 1/6*f**4.
-(f - 2)*(f - 1)**2*(f + 3)/6
Let i(h) be the second derivative of h**9/13440 - h**8/2560 + h**7/3360 + 7*h**4/6 - 28*h. Let t(u) be the third derivative of i(u). Solve t(k) = 0.
0, 1/3, 2
Let l = -1313/3 - -6568/15. Determine j so that l*j**2 - 1/5*j - 2/5 = 0.
-1, 2
Let k = -70 + 73. Let -8*g**2 - 4*g - 7*g**2 - 10*g**2 - k + 24*g**2 = 0. What is g?
-3, -1
Let l(h) be the first derivative of 0*h**3 + 6 + 1/4*h**6 - 1/8*h**4 + 0*h**2 - 1/5*h**5 + 0*h. Factor l(j).
j**3*(j - 1)*(3*j + 1)/2
Let g = 109 - 98. Suppose -5*b = 5*w + 25, 0 = -b + 3*w + 4 + g. Factor 0 + b*h + 2/5*h**2.
2*h**2/5
Let n(m) = -5*m**2 - 2*m. Let d be n(2). Let a = 26 + d. Factor -12*r**2 + 12*r**a + 3*r**3 + r - 4*r**3.
-r*(r - 1)*(r + 1)
Factor 0*j**2 + 14/3*j - 2/3*j**3 - 4.
-2*(j - 2)*(j - 1)*(j + 3)/3
Factor 2 + 1475*s**3 - 5 + 3 + 112*s**3 + 12167*s**2 + 69*s**4 + s**5.
s**2*(s + 23)**3
Let t(y) = 3*y**2 + 13*y - 8. Let g(z) = 2*z**2 + 14*z - 9. Let a(f) = 4*g(f) - 5*t(f). Let l(x) = -6*x**2 - 8*x + 3. Let c(d) = -5*a(d) + 6*l(d). Factor c(q).
-(q + 1)*(q + 2)
Factor -2/17*u**4 + 0*u - 8/17*u**2 + 0 - 8/17*u**3.
-2*u**2*(u + 2)**2/17
Let t(x) = -x**3 - x**2 - 1. Let d be (-32)/8 + 2/1 + 1. Let r(s) = 3*s**4 + 8*s**3 - 10*s**2 + 9*s + 5. Let j(g) = d*r(g) - 5*t(g). What is n in j(n) = 0?
-3, 0, 1
Let k(w) = w. Let v(a) = 15*a**3 + 35*a**2 - 4*a - 20. Let l(m) = -4*k(m) - v(m). Factor l(h).
-5*(h + 1)*(h + 2)*(3*h - 2)
Factor 10/3*x**2 + 0 + 0*x - 6*x**3 + 2/3*x**5 + 2*x**4.
2*x**2*(x - 1)**2*(x + 5)/3
Let a(s) be the third derivative of s**5/270 - 19*s**4/108 - 14*s**3/9 + 537*s**2. Factor a(x).
2*(x - 21)*(x + 2)/9
Let t be 1/3 + 32/3. Suppose 0 = 2*g - t + 3, 0 = 5*m + 2*g - 23. Find o such that 2*o - 2*o - 2*o**2 - o + m*o = 0.
0, 1
Suppose -w + 2*w = -1. Let d(i) = 6*i**2 - i - 1. Let y be d(w). Factor -4*t**3 + 22*t**2 - 8*t - 4*t - y*t**2.
-4*t*(t - 3)*(t - 1)
Suppose -4*l = -4*b + 20, 3*b - 8 + 1 = -5*l. Let t be 0 - 25/10 - 3*l. Determine h, given that -t*h**4 - 1/2*h**3 + 1/4*h**5 + 2*h**2 - 7/4*h + 1/2 = 0.
-2, 1
Let t be (-225)/(-5)*(-5)/(-75). Factor 0*u**2 + 0 + 1/3*u**t - 4/3*u.
u*(u - 2)*(u + 2)/3
Let h(g) be the second derivative of 1/180*g**5 + 1/18*g**3 + 0*g**2 - 19 - 1/27*g**4 - 2*g. Solve h(q) = 0 for q.
0, 1, 3
Let r be 1080/9*4/(-56) + 9. Solve 0 - 9/7*d**4 + r*d**3 + 0*d + 9/7*d**2 - 3/7*d**5 = 0.
-3, -1, 0, 1
Suppose -4 = 4*z, 0*r + 5*z = -3*r + 7. Let k be (0 - r/30)*(-7 + -2). Find a, given that k*a - 2/5*a**2 + 0 = 0.
0, 3
Suppose 4 = 2*j + 12. Let s be 30/20 + (-18)/j. Determine v, given that s*v + 0*v**2 - 3*v**4 - v**2 + 4*v**2 + 3*v**3 - 9*v**3 = 0.
-2, -1, 0, 1
Let y(l) be the second derivative of 0 + 25/6*l**4 + 5/2*l**3 + 3/4*l**5 + 25*l + 0*l**2. Factor y(v).
5*v*(v + 3)*(3*v + 1)
Let a(m) = -m**2 - 4. Let o be a(-9). Let h = o - -88. Factor -2/5*x**4 - 1/5*x**5 + 2/5*x**2 + 0*x**h + 0 + 1/5*x.
-x*(x - 1)*(x + 1)**3/5
Let r(l) = 13*l**2 - 5*l**2 - 20*l + 14 + 10*l**2 - 2*l**3. Let i(j) = -15*j**2 - j - 19*j**2 + 1 + 35*j**2. Let m(n) = 10*i(n) - r(n). Factor m(h).
2*(h - 2)*(h - 1)**2
Let j(p) = p**3 + p**2 - p + 2. Let z(a) = -3*a**4 - 4*a**3 + 8*a**2 + 16*a + 4. Let w(m) = -j(m) - z(m). What is c in w(c) = 0?
-1, 2
Let u be (-30)/(-72)*(-4)/30*-3. Let c(n) be the second derivative of -4*n + 0 + n**3 + 2*n**2 + u*n**4. Factor c(x).
2*(x + 1)*(x + 2)
Factor 94/13*f**2 - 24/13*f**3 + 2/13*f**4 - 120/13*f + 0.
2*f*(f - 5)*(f - 4)*(f - 3)/13
Let y be 55/(18 + -7) + 47/(-11). Factor -6/11 - 2/11*q**2 - y*q.
-2*(q + 1)*(q + 3)/11
Factor -29*o**2 + 1/2*o + 0.
-o*(58*o - 1)/2
Let -1205 + 3*c**3 + 108*c**2 - 1589 + 628 + 855*c = 0. What is c?
-19, 2
Suppose 241*d + 12 = 247*d. Let w(z) be the second derivative of -2/3*z**3 - 3/2*z**4 + 11*z + 0 + 7/20*z**6 + 0*z**d - 11/20*z**5. Solve w(r) = 0.
-2/3, -2/7, 0, 2
Let s = -49275 + 345006/7. Factor -1/7*p**2 - s + 18/7*p.
-(p - 9)**2/7
Factor -27/2*k**2 - k**3 - 14 - 26*k + 1/2*k**4.
(k - 7)*(k + 1)*(k + 2)**2/2
Let x(o) be the third derivative of 121*o**6/150 + 22*o**5/5 + 32*o**4/5 + 64*o**3/15 + 14*o**2 - 7. Find n such that x(n) = 0.
-2, -4/11
Let n(g) = 4*g**2 - 6*g - 6. Let x(b) = -5*b**2 + 6*b + 5. Let s = -15 + 15. Suppose s*y - y = 3. Let k(u) = y*n(u) - 4*x(u). Factor k(r).
2*(r - 1)*(4*r + 1)
Let m be ((-24)/156 - 192/(-65))/(224/140). Find f, given that 1/4*f**5 - 1/2 - 1/2*f**3 - m*f - 2*f**2 + 1/2*f**4 = 0.
-1, 2
Suppose -29*x + 55 + 155 = 6*x. Factor 15*g - 3/4*g**4 + 21/4*g**3 - 27/2*g**2 - x.
-3*(g - 2)**3*(g - 1)/4
Suppose -2*t - 12 = -5*c, t + 71*c - 73*c + 4 = 0. Factor 0*y - 4/9*y**3 + 0*y**2 + 0 + 4/9*y**t.
4*y**3*(y - 1)/9
Let d be (-15)/25 - (-17)/20. Let x = -1143/8 + 143. Factor 1/8*v + x*v**2 - d.
(v - 1)*(v + 2)/8
Let m(a) be the second derivative of 28*a + 1/3*a**3 - 6*a**2 - 1/15*a**6 - 1/10*a**5 + 7/6*a**4 + 0. Suppose m(f) = 0. What is f?
-3, -1, 1, 2
Suppose -3*u - 19 = -3*b - 5*u, -b - 12 = -3*u. Suppose b*x - 21 = -4*x. Determine y so that 1/4 - 1/4*y + 1/4*y**x - 1/4*y**2 = 0.
-1, 1
Let c(l) = l + 10. Let b be c(-3). Suppose -b*r + 11 + 10 = 0. Factor 3/4*g**r + 3/2 - 9/4*g + 0*g**2.
3*(g - 1)**2*(g + 2)/4
Let r(p) be the third derivative of -p**7/1120 - p**6/240 - p**5/160 - 13*p**3/6 + 2*p**2. Let z(n) be the first derivative of r(n). Factor z(l).
-3*l*(l + 1)**2/4
Suppose -4*f - 3*d = -5*d - 58, -2*f + 27 = d. Let b = 0 - -3. Find c, given that f*c**2 - 14*c**2 - b*c**3 = 0.
0
Let d be (-9 - 3)*5/(-20). Let y(t) be the second derivative of -1/9*t**4 - 4/3*t**2 - 7*t + 2/3*t**d + 0. What is a in y(a) = 0?
1, 2
Factor 271*c**2 + 84*c - 276*c**2 + c.
-5*c*(c - 17)
Let u(w) = -w**3 + 18*w**2 - 10*w - 24. Let f be u(17). Determine t so that 43 + 52 + 9*t**3 + 6*t**2 - f - 15*t**4 = 0.
-2/5, 0, 1
Let t(k) be the second derivative of -k**7/28 + k**6/2 - 63*k**5/40 + 129*k. Suppose t(u) = 0. Calculate u.
0, 3, 7
Let z(m) = 21*m**3 + 21*m**2 + 33*m - 39. Let a(h) = h**3 - h**2 + 2*h. Let s(x) = -18*a(x) + z(x). Solve s(k) = 0.
-13, -1, 1
Let -1/5*p**5 - 196/5*p - 141/5*p**3 + 0 - 364/5*p**2 + 26/5*p**4 = 0. What is p?
-1, 0, 14
Find n such that 10/3*n**4 + 2/9*n**5 - 34/9 - 68/9*n**3 + 4/9*n**2 + 22/3*n = 0.
-17, -1, 1
Find l such that 13/3*l**2 + 1/6*l - 4*l**3 - 2/3*l**4 - 1 + 7/6*l**5 = 0.
-2, -3/7, 1
Let p = 20821/2 + -10410. Suppose 0 - p*w**4 + 3/2*w**2 - w + 0*w**3 = 0. Calculate w.
-2, 0, 1
Factor b + 1/2*b**2 - 4/3 - 1/6*b**3.
-(b - 4)*(b - 1)*(b + 2)/6
Let y(k) be the first derivative of k**4/18 + 2*k**3/27 - 2*k**2/9 - 239. Solve y(i) = 0.
-2, 0, 1
Let 