Let g = -33 + z. Solve g*p + 5*p**2 - 10*p**2 - 1 + 2*p**2 + 2*p**2 = 0 for p.
1
Suppose 78 = 4*t - 7*i, 24*i + 40 = 20*i. Factor 16/3*v**3 + 16/3 + 14*v**t + 44/3*v + 2/3*v**4.
2*(v + 1)**2*(v + 2)*(v + 4)/3
Let z(v) be the first derivative of v**4 - 1316*v**3/3 + 55094*v**2 - 318828*v - 12519. Factor z(m).
4*(m - 163)**2*(m - 3)
Factor -2*v**2 + 4506*v - 277368 - 1108550 + 58426 + 153980 - 1442*v.
-2*(v - 766)**2
Let l(u) be the first derivative of u**5/10 + 27*u**4/4 - 28*u**3 + 85*u**2/2 - 57*u/2 + 2679. Factor l(i).
(i - 1)**3*(i + 57)/2
Let y(i) be the second derivative of i**4/6 + 7*i**3 + 20*i**2 + 3*i - 15. Suppose y(d) = 0. Calculate d.
-20, -1
Suppose 189 = 12*a - 147. Factor 52*u**2 + 15*u**2 - 360*u - u**3 - 400 - a*u**2.
-(u - 20)**2*(u + 1)
Let q be (2 - 1) + (-9 + 10)*2. Solve -70118*v**2 + 70112*v**2 + 3*v**3 - 2*v**q + 8*v = 0.
0, 2, 4
Let v(o) be the first derivative of -o**4/36 - 2*o**3/9 + 2*o**2 - 151*o - 194. Let f(w) be the first derivative of v(w). Factor f(m).
-(m - 2)*(m + 6)/3
Let k(n) be the second derivative of -n**7/42 - n**6/30 + 3*n**5/5 + 7*n**4/3 + 8*n**3/3 + 399*n. Factor k(o).
-o*(o - 4)*(o + 1)*(o + 2)**2
Let v(j) = -13*j**3 - j**2 + 895*j - 326. Suppose -17*d = -8 - 94. Let z(g) = 2*g**3 - 149*g + 54. Let q(m) = d*v(m) + 34*z(m). Factor q(r).
-2*(r - 5)*(r + 6)*(5*r - 2)
Let q(d) be the third derivative of 1/1470*d**7 + 0*d + 2/21*d**3 - 9/280*d**6 - 2*d**2 + 1/14*d**4 + 4 - 1/84*d**5 + 5/784*d**8. What is s in q(s) = 0?
-1, -2/3, -2/5, 1
Factor -9/5*a**2 - a + 14/5.
-(a - 1)*(9*a + 14)/5
Let k be 91/(-3) + -1 + 24/18. Let o = -12 - k. Find r, given that 0*r**4 + r**4 - r**3 + 19*r - o*r - r**2 = 0.
-1, 0, 1
Let m(o) = o**3 - 23*o**2 - 21*o - 81. Let j be m(24). Let q(h) = h**2 + 11*h + 20. Let n be q(j). Factor -3*x**n - 1/2*x**3 - 5/2*x + 0.
-x*(x + 1)*(x + 5)/2
Let s(h) be the third derivative of h**8/168 + 4*h**7/105 - 99*h**6/10 - 4598*h**5/15 - 38599*h**4/12 - h**2 + 4772. Find z, given that s(z) = 0.
-11, 0, 29
Suppose 852*j - 853*j = 95. Let l = -93 - j. Suppose -16/3*m**l + 0 + 0*m**4 + 2*m + 4*m**3 - 2/3*m**5 = 0. Calculate m.
-3, 0, 1
Let b = 1729/170 - 339/34. Find c such that -11/5*c - b*c**3 - 6/5*c**2 - 6/5 = 0.
-3, -2, -1
Determine l, given that -25*l**2 + 22*l**2 + 628*l + 5*l**2 = 0.
-314, 0
Let x(p) be the first derivative of -p**3/4 - 207*p**2/8 + 2898. What is r in x(r) = 0?
-69, 0
Let h(t) be the second derivative of -t**4/48 - 19*t**3/24 + 52*t**2 - 1772*t. Factor h(c).
-(c - 13)*(c + 32)/4
Let z = -4/490123 + 1470389/2450615. Suppose 0 + 0*s**2 - z*s**3 + 3/5*s = 0. What is s?
-1, 0, 1
Let l = -799 - -873. Let q = l - 70. Let -8/5*b**2 - 24/5*b**3 + 0 - 2*b**q + 0*b = 0. Calculate b.
-2, -2/5, 0
Let w(j) be the first derivative of -j**4/6 + 20*j**3/3 + 133*j**2/3 + 68*j - 1920. Suppose w(s) = 0. Calculate s.
-3, -1, 34
Let 4/3*u**3 - 52/3*u + 0*u**2 + 16 = 0. Calculate u.
-4, 1, 3
Solve -39/7*q**2 + 0 - 3/7*q**4 - 24/7*q**3 - 18/7*q = 0.
-6, -1, 0
Let k(w) = w**3 - 15*w**2 + 15*w + 4. Let l be k(14). Let v = -257 - -260. Suppose -l*a**2 - a**4 + 4 + 4 + 7*a**4 + 6*a**3 - 2*a**v = 0. Calculate a.
-2, -2/3, 1
Let g(z) = 10*z**2 + 40*z + 80. Let a be 1*15/20 + 115/(-20). Let c(h) = -11*h**2 - 39*h - 78. Let j(p) = a*c(p) - 6*g(p). Let j(v) = 0. What is v?
-6, -3
Let k(i) be the second derivative of i**4/6 - 6502*i**3/3 + 10569001*i**2 + 8488*i. Find j such that k(j) = 0.
3251
Let a(w) = -2*w - 73. Let y(c) = 9*c + 294. Let q(t) = -21*a(t) - 5*y(t). Let g be q(20). Find i such that 1/5*i**2 + 1/5*i - 1/5 - 1/5*i**g = 0.
-1, 1
Let y be ((-24)/(-9))/(44/33). Let l(o) = -o**2 - 7*o + 4. Let t be l(-7). Let -t - 5*s**2 + 4*s + y + 2*s**2 + s**2 = 0. Calculate s.
1
Let -37588 + 121*h**2 + 167*h**2 - 1200*h + 38838 = 0. What is h?
25/12
Let -350/3 - 80/3*w - 2/3*w**2 = 0. Calculate w.
-35, -5
Let j(a) be the second derivative of -a**6/780 - a**5/65 - 5*a**4/156 + 4*a**3/13 - 11*a**2/2 - 2*a - 81. Let u(v) be the first derivative of j(v). Factor u(b).
-2*(b - 1)*(b + 3)*(b + 4)/13
Suppose -261*u - 1221 = -5724 - 3327. Factor 10*h + u - 5/2*h**3 - 15/2*h**2.
-5*(h - 2)*(h + 2)*(h + 3)/2
Let w(c) = c**2 + 21*c + 3. Let i be w(-21). Determine h so that -h + 10*h + 27*h**2 - h**3 - 33*h**2 - 2*h**i = 0.
-3, 0, 1
Let o(t) be the third derivative of 0*t**3 + 7/15*t**6 - 6*t + 17/35*t**7 + 2/15*t**5 + 0 + 0*t**4 + 9/56*t**8 - 4*t**2. What is w in o(w) = 0?
-1, -2/3, -2/9, 0
Suppose 2*h - 14 = -50. Let i be -6*h/405*(-3)/(-2). Factor -4/5 - 6/5*p - i*p**2.
-2*(p + 1)*(p + 2)/5
Suppose -10/3 + 62/3*i - 4*i**2 = 0. Calculate i.
1/6, 5
Let z(p) be the third derivative of p - 1/105*p**5 - 11/42*p**4 + 0*p**3 + 0 + 5*p**2. Find c, given that z(c) = 0.
-11, 0
Let x = 22529/2 - 11260. Let 0*f + 0 - x*f**2 + 3/4*f**3 = 0. What is f?
0, 6
Let s(g) be the first derivative of 2/5*g**5 + 9/2*g**4 + 258 + 10*g**3 + 7*g**2 + 0*g. Factor s(q).
2*q*(q + 1)**2*(q + 7)
Let n be (4 + (-126)/28)*(1 + -4). Let x(u) be the first derivative of -n*u + 16 - 27/8*u**2 - u**3. Factor x(a).
-3*(a + 2)*(4*a + 1)/4
Suppose -80 = -4*d - 3*i, -5*d - 4*i = -61 - 39. Suppose 94*y - d*y = 0. Factor -92/5*p**2 + y + 28/5*p**3 + 24/5*p.
4*p*(p - 3)*(7*p - 2)/5
Let g(j) = 3*j**4 - 48*j**3 - 27*j**2 + 174*j + 168. Let x(k) = 5*k**4 - 95*k**3 - 54*k**2 + 347*k + 334. Let b(r) = 11*g(r) - 6*x(r). Solve b(m) = 0.
-13, -2, -1, 2
Let c = -281080 - -281082. Factor 0 + 363/5*f - 792/5*f**c + 498/5*f**3 + 3/5*f**5 - 72/5*f**4.
3*f*(f - 11)**2*(f - 1)**2/5
Let q(n) be the second derivative of -n**5/15 - n**4/6 + 2*n**3/9 - 565*n. Factor q(k).
-2*k*(k + 2)*(2*k - 1)/3
Let s = 480731/801235 + 2/160247. Find p such that -3*p**2 + 6/5*p + s*p**4 + 9/5*p**3 + 0 - 3/5*p**5 = 0.
-2, 0, 1
Let o be (-61674)/(-855) + (-4)/30. Factor 2*r**2 - 205 + 5*r**3 + 81 - 17*r**2 + o + 72.
5*(r - 2)**2*(r + 1)
Let i(o) be the second derivative of -1/9*o**3 - 1/90*o**5 + 1/18*o**4 + 1/9*o**2 + 2 + 99*o. Solve i(n) = 0.
1
Let p(o) be the first derivative of -8/15*o**5 + 0*o + 1/9*o**6 - 4/3*o**2 + 43 + 8/9*o**3 + 1/2*o**4. What is d in p(d) = 0?
-1, 0, 1, 2
Let w(r) = -3*r**2 - 5*r + 128. Let j(y) = 4*y**2 - 64. Let v(k) = -k**2 + k. Let t(o) = j(o) + 2*v(o). Let g(x) = 5*t(x) + 2*w(x). Find l, given that g(l) = 0.
-4, 4
Let a be (-4)/(-6)*(8 - (-4 + 0)). Factor a - 3*z**2 + 4*z**2 + 1599*z - 1605*z.
(z - 4)*(z - 2)
Let r = 65 + -63. Suppose n - r = 2. Let y(l) = 5*l**2 - 7*l - 21. Let u(j) = -j**2 + 2*j + 5. Let q(c) = n*y(c) + 18*u(c). Factor q(f).
2*(f + 1)*(f + 3)
Let r(p) = 20*p**2 + 384*p + 6144. Let w(k) be the second derivative of 11*k**4/12 + 32*k**3 + 1536*k**2 - 2*k - 12. Let g(o) = -4*r(o) + 7*w(o). Factor g(t).
-3*(t + 32)**2
Let g(j) be the first derivative of 9*j**6/40 + 23*j**5/5 + 245*j**4/8 + 25*j**3 + 10*j**2 + 36. Let t(y) be the second derivative of g(y). Factor t(r).
3*(r + 5)**2*(9*r + 2)
Let g(b) be the third derivative of 18*b**2 - 1 + 0*b - 1/10*b**4 + 3/200*b**6 + 1/350*b**7 + 0*b**5 + 0*b**3. Factor g(u).
3*u*(u - 1)*(u + 2)**2/5
Let z = 59 - 57. Determine a, given that -a**4 - 213*a - 72*a**z + 75 - 2*a**4 + 30*a**3 + 183*a = 0.
-1, 1, 5
Let a be (84 + -87)*10/(-12) + 0/2. Let w(k) be the first derivative of -a*k + 1/8*k**4 - 18 - 9/4*k**2 - 1/2*k**3. Factor w(x).
(x - 5)*(x + 1)**2/2
Let r be (-3)/(45/(-48)) - 9/45. Factor 2*w - 28*w**2 - 29*w + r*w - 4*w**3 + 0*w**3.
-4*w*(w + 1)*(w + 6)
Let a(x) be the first derivative of 184*x**3/33 - 647*x**2/11 + 42*x/11 + 1716. Factor a(j).
2*(j - 7)*(92*j - 3)/11
Suppose 11 + 134 = 29*h. Let d(y) be the first derivative of 3*y - 14 + 3/5*y**h - 6*y**2 + 6*y**3 - 3*y**4. Factor d(p).
3*(p - 1)**4
Factor 68/9*p**2 + 320/9 - 352/9*p.
4*(p - 4)*(17*p - 20)/9
Let t(i) be the third derivative of 118*i**2 + 0 - 3/5*i**5 + 2/105*i**7 + 11/6*i**4 + 1/30*i**6 - 8/3*i**3 + 0*i. Factor t(y).
4*(y - 1)**3*(y + 4)
Let r(d) = 130*d**3 + 255*d**2 + 5*d - 180. Let m(k) = -22*k**3 - 43*k**2 - k + 30. Let u(f) = 35*m(f) + 6*r(f). Factor u(i).
5*(i - 1)*(i + 2)*(2*i + 3)
Let o(z) be the first derivative of z**4/6 - 5*z**3/3 + 25*z - 28. Let v(s) be the first derivative of o(s). Determine d so that v(d) = 0.
0, 5
Let u = -92118 + 92120. Determine o so that 0 + 3/2*o**5 + 0*o**u + 0*o - 3/2*o**4 - 3*o**3 = 0.
-1, 0, 