e 18 + 0*z**2 + 14 - 10*z**2 + 2*z**2 - 4*z**3 + 8*z**3 - 16*z = 0.
-2, 2
Let j(i) be the third derivative of 0*i + 11/1140*i**5 + 2*i**2 - 1/855*i**6 + 0 - 2*i**3 + 1/76*i**4. Let n(y) be the first derivative of j(y). Factor n(t).
-2*(t - 3)*(4*t + 1)/19
Let m(c) = 3*c**3 + 11*c**2 - 8*c - 37. Let n be m(-3). Solve 8/5 - 46/5*p**4 + 26/5*p**3 + 14/5*p**n - 8*p + 38/5*p**2 = 0.
-1, 2/7, 1, 2
Let q(t) be the first derivative of -t**6/33 - 8*t**5/55 + 21*t**4/22 - 8*t**3/33 - 28*t**2/11 - 96. Let q(m) = 0. What is m?
-7, -1, 0, 2
Let u be (5/(-1300) - 46/(-299))*4. Factor -u*x + 0 + 12/5*x**2.
3*x*(4*x - 1)/5
Let m(k) be the first derivative of -201/4*k**4 - 189/5*k**5 - 23*k**3 + 9/2*k**2 - 10*k**6 - 18 + 6*k. Find c such that m(c) = 0.
-1, -2/5, 1/4
Let n = 49149/2 + -24574. Let n*m**2 - 2/3 - 5/6*m + 5/6*m**3 + 1/6*m**4 = 0. What is m?
-4, -1, 1
Let s(i) be the first derivative of 6 - 2/5*i**5 - 14/3*i**3 + 0*i + 3*i**2 + 5/2*i**4. Find o such that s(o) = 0.
0, 1, 3
Let q(c) = -6*c + 3. Let g be q(-1). Factor g*w - w**2 + 7 - 7 - 5*w.
-w*(w - 4)
Suppose -o = l + 1, 5 = -2*o + l - 6. Let w(c) = c**3 + 5*c**2 - 2*c - 2. Let r be w(o). Factor 43 + 3*f**2 - r*f - 12 + 17 - 2*f.
3*(f - 4)**2
Let j(p) be the first derivative of p**7/42 + p**6/8 + p**5/6 + 29*p**2/2 + 22. Let a(c) be the second derivative of j(c). Factor a(m).
5*m**2*(m + 1)*(m + 2)
Solve -90*t - 1/2*t**2 - 4050 = 0 for t.
-90
Let y(l) be the first derivative of 2*l**5/35 + 2*l**4/7 - 20*l**3/7 - 68*l**2/7 - 10*l + 219. Let y(t) = 0. Calculate t.
-7, -1, 5
Let n(v) = -89*v**2 - 1248*v - 26. Let m be n(-14). What is p in -1/2*p**m + 4*p - 7/2 = 0?
1, 7
Let x be (153/12 + -13)/(-2). Solve -1 + 1/4*h**2 + x*h**3 - 1/2*h = 0.
-2, 2
Factor -3/5*k - 1/5*k**2 - 2/5.
-(k + 1)*(k + 2)/5
Suppose b = -3*s + 13 + 11, 2*b + 5*s = 46. Suppose 0 = -5*f - 3*i + 19 + 6, 2*i = 10. Solve 25*c**3 + b*c - 8 - 70*c**f + 2*c + 24*c = 0 for c.
2/5, 2
Factor 7/4 - 2*o + 1/4*o**2.
(o - 7)*(o - 1)/4
Suppose 15 = 5*w, -4*y + 2*w = -0*w - 2. Let t = 811/341 - 23/31. Determine m so that -8/11 - 16/11*m + 6/11*m**y + t*m**3 = 0.
-2/3, 1
Let g(v) be the first derivative of v**6/15 - 4*v**5/25 + 4*v**3/15 - v**2/5 - 125. Let g(p) = 0. What is p?
-1, 0, 1
Let z(m) = -m**3 - m**2 + 6*m - 3. Let v(w) = -w**3 - 2*w**2 + 7*w - 4. Let p(g) = -2*v(g) + 3*z(g). Let c be p(2). Factor -12/7 - 9*x**2 - 27/7*x**c - 48/7*x.
-3*(x + 1)*(3*x + 2)**2/7
Suppose -143 = -19*s + 6*s. Suppose -c - 2*i - 4 = 4, i + s = 3*c. Factor 6*p - 6 - 3/2*p**c.
-3*(p - 2)**2/2
Suppose 3 = -2*z + d, 3 = -d + 4. Let j be -2 - (z + 27/(-21)). Factor -2/7*r**4 + 0 + 2/7*r**5 + 0*r + j*r**2 - 2/7*r**3.
2*r**2*(r - 1)**2*(r + 1)/7
Let q(l) = 12*l + 1. Let b be q(8). Factor -194*n**2 + b*n**2 + 18 + 99*n**2 + 12*n.
2*(n + 3)**2
Let j(d) = d**2 + 387*d + 9213. Let t(q) = 4*q**2 + 1936*q + 46064. Let r(i) = 16*j(i) - 3*t(i). Factor r(l).
4*(l + 48)**2
Let l(d) be the third derivative of 0 - 29*d**2 + 1/12*d**8 - 4/7*d**7 - 8/15*d**5 + 0*d + 0*d**3 + 6/5*d**6 + 0*d**4. Factor l(v).
4*v**2*(v - 2)**2*(7*v - 2)
Let y(o) be the second derivative of 5*o**4/12 + 5*o**3/2 - 3*o - 112. Find j such that y(j) = 0.
-3, 0
Let c = -25 + 27. Let b = 1 - -1. Factor -2*n**b + n**2 + 4*n + 0 - 4 + 0*n**c.
-(n - 2)**2
Let k be (-14)/63 + (-14)/18. Let i(v) = 4*v**2 - 8*v - 6. Let s(y) = y + 1. Let m be (32/28)/(-4) - (-99)/(-21). Let l(p) = k*i(p) + m*s(p). Solve l(a) = 0.
-1/4, 1
Let i(s) be the first derivative of -s**4/10 + 2*s**3/3 + s**2/5 - 2*s - 205. Let i(x) = 0. Calculate x.
-1, 1, 5
Let c(w) be the second derivative of -169*w**4/18 - 52*w**3/3 - 12*w**2 - 4*w + 1. Solve c(g) = 0 for g.
-6/13
Factor 1/9*j**2 + 106/9*j + 0.
j*(j + 106)/9
Factor -14*o**2 - 1/3*o**4 - 68/3*o - 11/3*o**3 - 40/3.
-(o + 2)**3*(o + 5)/3
Let d be (-1 + 1)/(3 - 2). Let m(c) be the third derivative of d*c - 1/300*c**5 + 8*c**2 + 0 - 1/30*c**4 - 2/15*c**3. Determine b, given that m(b) = 0.
-2
Let o(f) = -f**2 - 9*f - 6. Let n(u) = -5*u + 3. Let g(j) = -6*j + 4. Let p(a) = 4*g(a) - 5*n(a). Let m(i) = 5*o(i) + 40*p(i). Suppose m(r) = 0. What is r?
-2, 1
Let o(l) be the third derivative of 3*l**5/20 - l**4 - 11*l**3/2 + 3*l**2 - 3. Factor o(z).
3*(z + 1)*(3*z - 11)
Let d(a) be the first derivative of a**3/2 - 63*a**2/2 + 1323*a/2 - 137. Factor d(l).
3*(l - 21)**2/2
Let j(i) be the first derivative of 26*i**2 - 3*i**4 + 24*i + 39 + 16/3*i**3. Factor j(n).
-4*(n - 3)*(n + 1)*(3*n + 2)
Determine i so that -29/2*i**3 - 1/2*i**5 - 6*i - 5*i**4 + 0 - 16*i**2 = 0.
-6, -2, -1, 0
Let q(m) be the first derivative of m**3 - 153*m**2 + 7803*m - 172. Determine p so that q(p) = 0.
51
Factor -77100 + 1014*f - 903 + 7899 - 15579 - 3*f**2.
-3*(f - 169)**2
Let r(q) be the third derivative of -5/12*q**4 - 5/3*q**3 + 0 - 1/24*q**5 + 0*q + 3*q**2. What is n in r(n) = 0?
-2
Let n(i) be the third derivative of 0*i + 0*i**3 - 11*i**2 - 1/4*i**4 + 1/30*i**6 + 0 - 1/6*i**5. Factor n(p).
2*p*(p - 3)*(2*p + 1)
Suppose 24 = 2*i - 4*t, 0 = 2*i - 0*t - 2*t - 28. Suppose s - i + 4 = n, 4*s - n - 33 = 0. Let -5*o + 3*o + s*o**2 - 4*o**2 - 4*o = 0. What is o?
0, 2
Factor 2*d**3 + 7 + 8*d**4 - 590*d + 42*d**2 - 1 + 616*d + 28*d**3.
2*(d + 1)**3*(4*d + 3)
Let o be 22*(-4)/(-6)*120/16. Let g = -439/4 + o. Factor 1/4*j**3 - 1/2*j**2 + 0 + g*j.
j*(j - 1)**2/4
Let a be 260/40*(24/26)/3. Let y(w) be the first derivative of 0*w**a + 0*w**3 + 0*w + 2 - 1/2*w**4. Determine t so that y(t) = 0.
0
Let u be -2 + (-64)/(-28) - 1863/(-21). Let n = u - 87. Factor -1/3 - 2/3*m + 1/3*m**4 + 0*m**n + 2/3*m**3.
(m - 1)*(m + 1)**3/3
Suppose 5*w - 5 = -5*o, -4*o + w = 2 + 9. Let a be -1*(3 - (7 - (o + 2))). Factor 0 + 3/2*r**3 + 0*r + 1/2*r**a + r**2.
r**2*(r + 1)*(r + 2)/2
Suppose -2*h = -4*h + 4. Let y be (-3)/(-5) - (-12)/((-480)/(-136)). Factor -y*u**3 + 6*u - 4*u**3 + 3*u**h + u**2 + 6*u**3.
-2*u*(u - 3)*(u + 1)
Let i(n) = n**2 - 1. Let c(w) be the first derivative of w**3 - 15*w**2/2 - 18*w - 2. Let p(h) = c(h) + 2*i(h). Factor p(g).
5*(g - 4)*(g + 1)
Let o be (-3 - -1)/((-8)/44). Find q, given that -12*q**3 - 2*q**5 + 6*q**2 - 13*q**5 - 7*q**2 + 39*q**4 - o*q**2 = 0.
-2/5, 0, 1, 2
Suppose -17*s = 1 - 120. Let d(q) be the third derivative of 0*q**3 + 1/36*q**4 - s*q**2 + 1/540*q**6 - 1/54*q**5 + 0 + 0*q + 1/945*q**7. Factor d(y).
2*y*(y - 1)**2*(y + 3)/9
Let j(g) be the third derivative of 0*g**3 + 0*g + 0 + 17*g**2 + 1/330*g**5 - 1/132*g**4. Factor j(o).
2*o*(o - 1)/11
Suppose 5*z + 36 = 2*n - 50, 0 = -4*z + 5*n - 79. Let t = z + 82/5. Let 4/5 + 8/5*s**2 + 2*s + t*s**3 = 0. Calculate s.
-2, -1
Suppose -4*k = 5*g + 10, 241*g + 2*k = 238*g - 4. Factor -3/5*d + 0 - 9/5*d**3 + 3/5*d**4 + 9/5*d**g.
3*d*(d - 1)**3/5
Let v = 409/270 + -2/135. Solve 3/2*g - v*g**2 + 0 = 0 for g.
0, 1
Suppose -1/3*m**4 + 14/3*m**2 + 0 + 0*m + 13/3*m**3 = 0. Calculate m.
-1, 0, 14
Let m(w) = -w**3 - 10*w**2 - 20*w - 8. Let q be m(-2). Let t(a) be the first derivative of q*a**2 - 1/3*a**3 - 1/4*a**4 + 11 + 0*a. Factor t(b).
-b**2*(b + 1)
Let q(z) be the first derivative of z**5/5 - 3*z**4/2 + 7*z**3/3 + 3*z**2 - 8*z + 93. Determine r so that q(r) = 0.
-1, 1, 2, 4
Let s = 182 + 182. Let l be -4*((-14)/(-98) - 66/s). Factor -2/13*d**2 + 4/13*d - l*d**3 + 0.
-2*d*(d - 1)*(d + 2)/13
Let y(p) be the third derivative of p**8/336 - 3*p**7/70 + 7*p**6/60 - 204*p**2. Factor y(a).
a**3*(a - 7)*(a - 2)
Let s(d) be the third derivative of -2*d**3 - 12*d**2 - 7/15*d**6 + 2/35*d**7 + 0*d - 1/3*d**4 + 0 + 16/15*d**5. Factor s(z).
4*(z - 3)*(z - 1)**2*(3*z + 1)
Let d(q) = -q + 10. Let t be d(10). Let u(y) be the second derivative of -1/4*y**4 + t*y**2 + y + 3/20*y**5 + 0 + 0*y**3. Factor u(h).
3*h**2*(h - 1)
Let v(z) be the first derivative of -3*z**2 - 17 - 2/3*z**3 + 3/2*z**4 - 2/5*z**5 + 4*z. Suppose v(f) = 0. What is f?
-1, 1, 2
Factor 1/6*s**5 + 5/2*s**3 + 2/3*s - 13/6*s**2 - 7/6*s**4 + 0.
s*(s - 4)*(s - 1)**3/6
Let u(d) be the second derivative of d**6/150 + 3*d**5/50 - 2*d**4/15 - d**3/5 + 7*d**2/10 + 399*d. What is k in u(k) = 0?
-7, -1, 1
Let h(y) = 17*y**2 - 20*y. Let x(u) = -20*u**2 + 20*u. Let n(o) = 6*h(o) + 5*x(o). Suppose n(i) = 0. Calculate i.
0, 10
Let n(l) = -5*l**4 + 14*l**3 - 17*l**2 + 8*l + 4. Let t(a) = -a**4 - a**2 + 2*a + 1. Let v(g) = -5*n(g) + 20*t(g). Dete