p(d).
-2*d*(d + 1)**4
Suppose 3*b = -0*q + q + 4, 0 = 4*b + 5*q + 20. Factor y**2 + 27*y - 2 + y**3 + b*y**2 - 22*y - 5*y**2.
(y - 2)*(y - 1)**2
Let z = -113 - -191. Let 45*b**3 - 10*b**2 + z*b**4 - 142*b - 23*b**4 + 142*b = 0. Calculate b.
-1, 0, 2/11
Let j(y) = y**3 + 22*y**2 - 144*y + 2. Let g(t) = -9*t**3 - 175*t**2 + 1152*t - 17. Let q(b) = 6*g(b) + 51*j(b). Find d, given that q(d) = 0.
0, 12
Let l(c) be the third derivative of -c**6/24 + 3*c**5/4 + 35*c**4/8 + 55*c**3/6 - 12*c**2 - 8*c. Solve l(x) = 0 for x.
-1, 11
Let g = 110 - 106. Suppose -4*h + 2*l = -8 - 0, -g*l = 4*h - 8. Let 2/11*i**3 + 2/11*i - 4/11*i**h + 0 = 0. What is i?
0, 1
Suppose 0 = 17*a - 3*a. Suppose 5*s - 4 - 6 = a. Factor -14/9*z - 10/9*z**3 - 4/9 - 2/9*z**4 - 2*z**s.
-2*(z + 1)**3*(z + 2)/9
Let u(t) = -40*t**2 - 275*t + 195. Let r(d) = -21*d**2 - 137*d + 97. Let c(q) = 5*r(q) - 3*u(q). Factor c(s).
5*(s + 10)*(3*s - 2)
Suppose -3/2*c**2 + 9*c - 27/2 = 0. What is c?
3
Suppose 0 = 4*h + 3*j - 20, -2*h - 2*j + 4*j = 4. Suppose 132 = 6*a - h*a. Find u such that -2*u**2 + a*u**2 - 4*u**2 + 6*u + 21*u**3 = 0.
-1, -2/7, 0
Let s(o) be the first derivative of 1/3*o**3 + 1/4*o**4 + 0*o**2 + 11 - 1/5*o**5 - 1/6*o**6 + 0*o. Suppose s(r) = 0. Calculate r.
-1, 0, 1
Let a(g) = g**4 - 2*g**3 + g**2 - 1. Let w(z) = -z**5 - 3*z**4 + 10*z**3 - z**2 - 3*z + 1. Let m(k) = -3*a(k) - w(k). Factor m(c).
(c - 2)*(c - 1)*(c + 1)**3
Factor -1/2*z**3 + 0 + 2*z**2 - 2*z.
-z*(z - 2)**2/2
Let b(l) = -19*l**4 + 28*l**3 - 113*l**2 - 8*l + 16. Let x(j) = 12*j**4 - 19*j**3 + 75*j**2 + 5*j - 10. Let q(g) = -5*b(g) - 8*x(g). Solve q(y) = 0.
0, 5, 7
Let s(v) = -v**2 + 5*v + 3. Let j = 2 - -2. Let o be s(j). Factor 11*m + 62 - o*m**5 + 14*m**2 - 4*m**3 - 4*m**4 - 12*m**4 - 60.
-(m - 1)*(m + 1)**3*(7*m + 2)
Suppose -1818 = -20*k - 18458. Let b = -9138/11 - k. Factor 4/11 + b*h + 2/11*h**4 + 18/11*h**2 + 10/11*h**3.
2*(h + 1)**3*(h + 2)/11
Let l(z) be the first derivative of z**4/28 - 31*z**3/21 - z**2/14 + 31*z/7 - 42. Determine w so that l(w) = 0.
-1, 1, 31
Let t(r) be the second derivative of 2/7*r**3 + 18*r - 1/28*r**4 - 9/14*r**2 + 0. Find p such that t(p) = 0.
1, 3
Let v(b) = -b**3 + 7*b**2 - b + 9. Let d be v(7). Suppose 0 = 3*x + 15, 3*n - 27 + 32 = -x. Find u such that -2*u**d + n*u**2 + u**2 + 7 - 3 = 0.
-2, 2
Let n(b) = 20*b**2 - 25*b - 53. Let t(h) = -6*h**2 + 8*h + 18. Let z = -63 + 65. Let i(f) = z*n(f) + 7*t(f). Factor i(a).
-2*(a - 5)*(a + 2)
Let z = 2459 - 177047/72. Let h(p) be the second derivative of 1/36*p**3 + 0 + z*p**4 - 1/6*p**2 + 9*p. Factor h(x).
(x - 1)*(x + 2)/6
Let w(y) be the third derivative of -y**5/450 - 23*y**4/180 + 8*y**3/15 - 134*y**2. Factor w(m).
-2*(m - 1)*(m + 24)/15
Let m(j) be the second derivative of j**4 + 9/2*j**5 - 11/3*j**3 + 2*j**2 - 18/5*j**6 + 6*j + 0. Solve m(n) = 0 for n.
-1/2, 1/3, 2/3
Let q(f) be the second derivative of -2*f**7/63 + 8*f**6/45 + f**5/5 - 14*f**4/9 + 16*f**3/9 + 2*f + 32. Let q(z) = 0. What is z?
-2, 0, 1, 4
Let v be 102/(-2)*2/6. Let i = -13 - v. Suppose 0*t - 8/3*t**i + 7/3*t**3 - 16/3*t**5 - 1/3*t**2 + 0 = 0. Calculate t.
-1, 0, 1/4
Let n be 3*5/(60/(-328)) + 3. Let g = n - -79. Factor -2/3*l**3 + 2/3*l**2 + g + 0*l.
-2*l**2*(l - 1)/3
Let y = -547 + 549. Suppose -8/3*v**3 + 0*v + 0 + 4/3*v**y + 4/3*v**4 = 0. Calculate v.
0, 1
Let t be (-7011)/(-45) - (-8)/(-10). Factor -11 - 173*f - 16 + t*f - 3*f**2.
-3*(f + 3)**2
Let m = 139 + -693/5. Let o = -3/20 + m. Factor 1/4 - 1/4*g**3 + 1/4*g - o*g**2.
-(g - 1)*(g + 1)**2/4
Let b(s) be the first derivative of 1/3*s - 1/4*s**2 + 1/8*s**4 - 1/30*s**5 - 1/18*s**3 - 2. Find q, given that b(q) = 0.
-1, 1, 2
Factor 22 + 5/2*o**2 - 56*o.
(o - 22)*(5*o - 2)/2
Let r(g) be the third derivative of g**11/83160 + g**10/18900 - g**9/15120 - g**8/2520 - g**5/4 + 6*g**2. Let l(s) be the third derivative of r(s). Factor l(u).
4*u**2*(u - 1)*(u + 1)*(u + 2)
Let s(j) be the first derivative of -j**6/600 + 3*j**5/200 + 8*j**3/3 - 12. Let g(t) be the third derivative of s(t). Solve g(l) = 0.
0, 3
Let d = 217 - 212. Factor 0 + 0*v - 14/5*v**4 + 0*v**2 + 4/5*v**3 + 2*v**d.
2*v**3*(v - 1)*(5*v - 2)/5
Let i be 240/9*8/((-64)/(-12)). Suppose 32*g - i*g = 0. Factor 0*v**4 + 1/3*v**3 + 0*v + 0*v**2 + g - 1/3*v**5.
-v**3*(v - 1)*(v + 1)/3
Let u(i) be the third derivative of -i**6/160 + 7*i**5/80 - 11*i**4/32 + 5*i**3/8 + 3*i**2 + 80. Solve u(q) = 0.
1, 5
Let 0 - 3/5*z**5 - 93/5*z**2 - 36/5*z - 81/5*z**3 - 27/5*z**4 = 0. Calculate z.
-4, -3, -1, 0
Let m(r) be the second derivative of r**6/330 - r**5/44 - 7*r**4/132 + 5*r**3/66 + 3*r**2/11 + 35*r. Let m(y) = 0. Calculate y.
-1, 1, 6
Let o(h) be the second derivative of -h**6/195 - 2*h**5/65 - h**4/26 - 598*h. Solve o(z) = 0.
-3, -1, 0
Let z(u) be the third derivative of u**7/210 + u**6/10 + 7*u**5/20 + 5*u**4/12 - 108*u**2. Factor z(y).
y*(y + 1)**2*(y + 10)
Let z = -18876/7 - -56740/21. Factor 0 + 64/3*g + 1/3*g**3 - z*g**2.
g*(g - 8)**2/3
Let n(s) = -s - 1. Let w(m) = -2*m**2 - 4*m - 2. Let d = -24 - -20. Let q(c) = d*n(c) + w(c). Solve q(r) = 0.
-1, 1
Factor 25*k**3 + 158 - 3*k**4 - 38 - 18*k**2 - 15*k - 4*k**3 - 69*k.
-3*(k - 5)*(k - 2)**2*(k + 2)
Let t(k) be the first derivative of k**3 + 57*k**2/2 - 198*k - 371. Solve t(y) = 0 for y.
-22, 3
Let p = 58/5 - 227/20. Solve -5/4*g**3 + 5/4*g**2 - 1 - p*g**4 + g + 1/4*g**5 = 0.
-2, -1, 1, 2
Let m be 2/(-6)*747/(-332). Factor -3/4*c**3 + 3/2*c**2 - m*c + 0.
-3*c*(c - 1)**2/4
Factor -2/13*z**2 - 40/13 + 18/13*z.
-2*(z - 5)*(z - 4)/13
Let w(l) be the first derivative of l**5/20 - 5*l**4/8 + 2*l**3 + l**2/2 + 1. Let g(x) be the second derivative of w(x). Factor g(p).
3*(p - 4)*(p - 1)
Let d(n) be the first derivative of -5*n**3/3 - 5*n**2 + 2. Let p(k) = 21*k**2 + 39*k. Let m(z) = -9*d(z) - 2*p(z). Factor m(o).
3*o*(o + 4)
Let 10/3*a**2 + 3*a + 0 + 1/3*a**3 = 0. Calculate a.
-9, -1, 0
Let b be (3/3)/(3 + -4)*-2. Let o(g) = -6*g**3 + 4*g**2 + 7*g + 7. Let c(n) = n**3 - n**2 - n - 1. Let v(i) = b*o(i) + 14*c(i). Factor v(x).
2*x**2*(x - 3)
Let o be (-42)/231 - 186/(-297). Let g(a) be the second derivative of o*a**3 + 0 - 7*a + 0*a**2 - 1/9*a**4. Factor g(r).
-4*r*(r - 2)/3
Let a be 122/96 - 3/(-48). Suppose a - 2*b + 2/3*b**2 = 0. What is b?
1, 2
Let r(b) be the first derivative of -33/10*b**2 + 9/5*b + 25 + 9/20*b**4 + b**3. Suppose r(n) = 0. What is n?
-3, 1/3, 1
Let q = -16376 + 49148/3. Factor 4 + p**2 + q*p.
(p + 6)*(3*p + 2)/3
Let z(q) be the third derivative of -q**5/270 - 19*q**4/108 - 16*q**3/9 - 59*q**2 - 2. Let z(m) = 0. Calculate m.
-16, -3
Suppose 8*f - 6 = 10. Let g be f + ((-9)/(-44))/((-12)/32). Find h such that -g*h + 10/11*h**2 + 8/11 - 2/11*h**3 = 0.
1, 2
Let c = -98 + 104. Let y(r) be the second derivative of 0 - 3/20*r**5 - c*r**3 + 12*r**2 - 6*r + 3/2*r**4. Factor y(d).
-3*(d - 2)**3
Factor 3*p + 3/5*p**2 + 18/5.
3*(p + 2)*(p + 3)/5
Let s(y) be the third derivative of 5/4*y**5 + 3/2*y**4 - 2*y**3 + 9/40*y**6 - 12*y**2 + 0 + 0*y. Factor s(h).
3*(h + 1)*(h + 2)*(9*h - 2)
Let p be -4 + -3 - (-5850)/810. Determine m so that -4/9*m**2 + 0 + p*m**3 + 2/9*m = 0.
0, 1
Let r(m) be the third derivative of -m**5/12 + 165*m**4/4 - 16335*m**3/2 - 2*m**2 + 104*m. Factor r(a).
-5*(a - 99)**2
Let g(l) be the second derivative of l**6/195 + l**5/26 + 7*l**4/78 + l**3/13 + 53*l. Let g(c) = 0. Calculate c.
-3, -1, 0
Let d(v) = -42 + 4*v + 77 + 9. Let n be d(-10). Factor 18/5*t**n - 8/5*t**5 + 0*t - 12/5*t**3 + 2/5*t**2 + 0.
-2*t**2*(t - 1)**2*(4*t - 1)/5
Let h be 1 - (-2)/((-20)/6)*5. Let f = h + 2. Factor -8/7*j - 162/7*j**3 + f - 72/7*j**2.
-2*j*(9*j + 2)**2/7
Let l(i) be the second derivative of -2/5*i**5 + 0 + 24*i + 1/3*i**3 + 0*i**2 - 1/2*i**4. Factor l(r).
-2*r*(r + 1)*(4*r - 1)
Let v(u) = u**3 + 19*u**2 + 75*u + 1031. Let q be v(-18). Factor -2*c**3 + 4/3*c**2 + 8/3*c - 1/3*c**q - 5/3*c**4 + 0.
-c*(c - 1)*(c + 2)**3/3
Let i(o) be the second derivative of o**6/90 + 7*o**5/60 + o**4/2 + 10*o**3/9 + 4*o**2/3 + 121*o. What is t in i(t) = 0?
-2, -1
Suppose -4*c + 2*u + 2 = -4, c = -2*u - 11. Let j(m) = -m**3 - m**2 + 2*m + 4. Let w be j(c). Suppose 9/4*d**w + 3/4 + 9/4*d + 3/4*d**3 = 0. Calculate d.
-1
Let w(f) be the second derivative of 0*f**2 + 6*f + 0 + 5/6*f**3 + 1/36*f**4 + 1/540*f**6 + 1/90*f**5. Let t(c) be t