0.
-15, -1/4, 1
Let a be 200/(-26) + (-60)/(-27)*(-774)/(-215). Factor -4/13 + 2/13*g**5 + a*g**4 - 14/13*g - 16/13*g**2 - 4/13*g**3.
2*(g - 2)*(g + 1)**4/13
Let p(v) be the first derivative of v**4 - 32/3*v**3 + 24*v**2 + 55 + 0*v. Find q, given that p(q) = 0.
0, 2, 6
Let s be 14/((-2688)/16)*-3. Let m(z) be the second derivative of s*z**4 + 0*z**2 + 0 + 1/2*z**3 - 37*z. Find u, given that m(u) = 0.
-1, 0
Let s be (-823095)/(-2205) + -2 + -1. What is n in 144/7*n + s + 2/7*n**2 = 0?
-36
Suppose 13*o - 8*o - 40 = 0. Factor 605*s**4 - 7 + o*s - 30*s**3 + 7 - 597*s**4 + 24*s**2.
2*s*(s - 2)**2*(4*s + 1)
Suppose 66 = -59*x + 70*x. Let h(y) be the second derivative of 0*y**x + 0 + 0*y**2 - 1/126*y**7 + 0*y**3 + 1/60*y**5 - 9*y + 0*y**4. Find i such that h(i) = 0.
-1, 0, 1
Let u be -1 + 0 + (-14990)/25 + 9. Let d = 592 + u. Factor d*z**3 + 6/5*z**2 - 12/5*z - 16/5.
2*(z - 2)*(z + 1)*(z + 4)/5
Let k be (6/(-315))/(683/(-163920)). Determine a so that 4/7*a**2 + 48/7 + k*a = 0.
-6, -2
Let m(s) be the first derivative of 7*s**3/3 - 5*s**2 - 5*s - 3. Let k = -38 + 37. Let a(b) = -1. Let u(g) = k*m(g) - 3*a(g). Factor u(d).
-(d - 2)*(7*d + 4)
Let 49/2*n - 1/2*n**3 + 0 + 24*n**2 = 0. What is n?
-1, 0, 49
Suppose 580*f + 581*f - 1182*f = -42. Factor 0 + 0*w**f - 2/3*w**4 + 2/3*w**3 + 0*w.
-2*w**3*(w - 1)/3
Suppose 0 = 2*g - 2 - 42. Suppose 4*h = -5*p + g, 2*p + 2*h = 5*p. Solve -852*n**3 + 4*n**4 - 10*n**2 + 2*n**p + 848*n**3 = 0.
-1, 0, 2
Let j(g) = -g**2 - 15*g - 24. Let z be j(-12). Factor -71*t + 48 - z*t**2 + 5*t - 123*t.
-3*(t + 16)*(4*t - 1)
Let k(w) = -76*w**4 + 1720*w**3 - 6148*w**2 - 7704*w. Let r(y) = 8*y**4 - 181*y**3 + 647*y**2 + 811*y. Let u(c) = 5*k(c) + 48*r(c). Find l such that u(l) = 0.
-1, 0, 6, 17
Let d(i) be the second derivative of 245/2*i**2 + 15/4*i**4 - 35*i**3 + 0 + 78*i. Solve d(l) = 0 for l.
7/3
Let y(p) = 2*p**2 + 1325*p - 1467. Let a(d) = -d**2 - 662*d + 723. Let n(m) = -7*a(m) - 3*y(m). Factor n(u).
(u - 1)*(u + 660)
Let l be ((-12)/30)/((-2)/10). Solve 10*i**4 + 0*i**l - 3382*i**3 + 5*i**2 + 3357*i**3 + 10*i = 0 for i.
-1/2, 0, 1, 2
Let d(r) be the first derivative of -r**5/60 + r**4/4 + 8*r**3/3 + r**2 + 25*r + 100. Let o(t) be the second derivative of d(t). What is m in o(m) = 0?
-2, 8
Let k be (28160/132)/32*(-2 - (-5)/2). Find a, given that -14/3*a - 4/3 - k*a**2 = 0.
-1, -2/5
Let b = -3/19168 + 28755/19168. Suppose o**2 - 7*o**4 + 0 + 0*o + b*o**3 = 0. Calculate o.
-2/7, 0, 1/2
Let z = 98421 - 295243/3. Factor -2/3*w**3 + 16/3*w**2 + 38/3*w + z.
-2*(w - 10)*(w + 1)**2/3
Let r = 19963 - 19960. Let s(v) be the second derivative of 3*v**r + 1/4*v**4 - 3*v + 0 + 15/2*v**2. Factor s(x).
3*(x + 1)*(x + 5)
Suppose 31*r + 8 = 132. Factor 54*a**2 - 324/5*a - 51/5*a**3 + 3/5*a**r - 648/5.
3*(a - 6)**3*(a + 1)/5
Let p(w) = -w**3 - 11760*w**2 - 46099110*w - 60236288015. Let m(d) = 6*d - 1. Let c(o) = 15*m(o) - p(o). Factor c(l).
(l + 3920)**3
Let z(x) be the first derivative of -1/3*x**3 + 135 - 38*x + 39/2*x**2. Suppose z(i) = 0. Calculate i.
1, 38
Let o(q) be the third derivative of -q**6/80 + 3*q**5/80 + q**4/16 - 3*q**3/8 + 1172*q**2. What is w in o(w) = 0?
-1, 1, 3/2
Let a(c) be the second derivative of c**4/28 + 9*c**3/7 - 132*c**2/7 - 21*c - 169. Let a(h) = 0. What is h?
-22, 4
Let j be (-16)/(-9) + (21692/(-396) - -55) + (3 - 1). Find i, given that 13/2*i**2 + 47/2*i**3 - 47/2*i - 9 + 5/2*i**j = 0.
-9, -1, -2/5, 1
Let c = -1386 + 1401. Let q(o) be the first derivative of 0*o + 1/4*o**3 - 7/16*o**4 + 0*o**2 - c. Determine m, given that q(m) = 0.
0, 3/7
Suppose 1580 + 230 = 905*o. Let -21/2 + 39/2*w - 9/8*w**3 - 39/8*w**o = 0. What is w?
-7, 2/3, 2
Factor 540/7 + 88/7*j - 4/7*j**2.
-4*(j - 27)*(j + 5)/7
Let c(a) = a**2 - 10*a + 16. Let y be c(4). Let p be (0 - y/16)*0. Suppose 6/7*r + p*r**2 - 2/7*r**3 - 4/7 = 0. Calculate r.
-2, 1
Let p(u) = -9*u**3 + 101*u**2 + 400*u + 415. Let a(s) = -5*s**3 + 51*s**2 + 200*s + 208. Let f(m) = 7*a(m) - 4*p(m). Determine b, given that f(b) = 0.
-2, 51
Factor -142/3*y**2 - 25 - 197/3*y + 2*y**3 + 25/3*y**4 - 1/3*y**5.
-(y - 25)*(y - 3)*(y + 1)**3/3
Suppose -5*j - 59 = 5*r - 159, -2*r = -4. Factor -1/2*k**2 - 6*k - j.
-(k + 6)**2/2
Find t such that 192/17 + 10/17*t**2 + 484/17*t = 0.
-48, -2/5
Factor -2/13*d**2 + 1692/13 - 842/13*d.
-2*(d - 2)*(d + 423)/13
Factor -1328*g**2 + 4312*g - 1272 - 5*g**3 - 287*g - 743 - 677*g**2.
-5*(g - 1)**2*(g + 403)
Let u(n) = -2*n**3 + 1. Let a(r) = 2*r**4 + 29*r**3 + 100*r**2 + 87*r - 73. Let c(g) = -4*a(g) - 4*u(g). Find y, given that c(y) = 0.
-8, -3, 1/2
Let h(r) be the first derivative of r**4/42 - 22*r**3/21 + 121*r**2/7 - 2662*r/21 + 7735. Let h(z) = 0. Calculate z.
11
Let a(q) be the third derivative of -3*q**2 - 10 - 3/2*q**4 - 12*q**3 + 2/15*q**5 + 1/30*q**6 + 0*q. Factor a(g).
4*(g - 3)*(g + 2)*(g + 3)
Let j(u) = u**2 - 48*u + 47. Let w(m) = 4*m**2 - 154*m + 142. Let f(i) = 10*j(i) - 3*w(i). Factor f(n).
-2*(n - 2)*(n + 11)
Let o(s) be the third derivative of s**7/105 + 3*s**6/10 + 6*s**5/5 - 209*s**4/6 + 121*s**3 - 383*s**2. Factor o(c).
2*(c - 3)*(c - 1)*(c + 11)**2
Let d(m) be the third derivative of 0 + 1/480*m**6 - 1/3*m**3 - 5/48*m**4 - 31*m - 1/240*m**5 - m**2. What is k in d(k) = 0?
-2, -1, 4
Suppose -h = -3*d - 130, -d - 5*h = -0*d + 54. Let m be 10/(-15) + d/(-21). Determine c so that -6/7*c**2 - 4/7 - 2/7*c**3 + 2/7*c**4 + m*c = 0.
-2, 1
Suppose 0 = 12*c + 16*c. Let d(b) be the first derivative of 1/2*b**2 + c*b + 3 + 1/3*b**3. Suppose d(q) = 0. Calculate q.
-1, 0
Let q(u) be the first derivative of u**8/336 + u**7/28 + u**6/18 - u**5/4 - 25*u**4/24 + 28*u**3 - 83. Let k(a) be the third derivative of q(a). Solve k(h) = 0.
-5, -1, 1
Let z be ((-108)/168)/((-12)/8*1). Let x(m) be the first derivative of z*m**2 + 0*m - 2/21*m**3 + 2. Solve x(v) = 0.
0, 3
Let k(s) be the first derivative of s**4/10 + 82*s**3/5 - 126*s**2/5 - 496*s/5 + 1796. Determine u so that k(u) = 0.
-124, -1, 2
Suppose -33*t + 70*t - 272*t + 3*t**2 - 328*t + 723 - 163*t = 0. What is t?
1, 241
Let y(h) be the third derivative of -h**5/270 - 83*h**4/108 + 86*h**3/9 - h**2 - h + 87. Factor y(g).
-2*(g - 3)*(g + 86)/9
Let v(n) = -1476*n - 143167. Let k be v(-97). Factor 8/3 + k*f**2 - 22/3*f.
(3*f - 2)*(5*f - 4)/3
Find a, given that 0 - 24*a**2 + 4/7*a**3 + 320/7*a = 0.
0, 2, 40
Let d(g) = -4*g - 37. Let u be d(-7). Let j be (-875)/3185 - u/21. Factor 10/13*r**2 + j*r**3 + 0 + 8/13*r.
2*r*(r + 1)*(r + 4)/13
Let g(m) be the first derivative of -11*m**5/5 + 8*m**4 + m**3 + 933. Factor g(f).
-f**2*(f - 3)*(11*f + 1)
Factor -15/4*p**2 + 14*p + 4.
-(p - 4)*(15*p + 4)/4
Let z(n) = -6*n - 174. Let t be z(-28). Let r be 32/t*(-36)/30. Solve -16/5*a**3 + 12/5*a - 18/5 + 46/5*a**2 - r*a**4 = 0 for a.
-1, 3/4
Let i(z) be the second derivative of 6*z**5/35 + 43*z**4/21 + 86*z**3/21 + 12*z**2/7 + 5*z + 13. Let i(k) = 0. Calculate k.
-6, -1, -1/6
Suppose -248*m - 100*m + 687 = 198*m - 405. Factor -123/2*o**m - 3/2*o**3 - 3249/2 - 1425/2*o.
-3*(o + 3)*(o + 19)**2/2
Let v(q) be the first derivative of -64 + 18/13*q**2 - 2/39*q**3 + 0*q. Solve v(y) = 0 for y.
0, 18
Factor 424/3*s**2 + 80*s**3 + 32 + 4/3*s**5 + 332/3*s + 56/3*s**4.
4*(s + 1)**3*(s + 3)*(s + 8)/3
Let i(a) be the second derivative of a**5/10 - 1483*a**4/6 - 35*a - 91. Let i(r) = 0. Calculate r.
0, 1483
Let k(g) be the first derivative of 2/21*g**3 + 0*g + 2 + 0*g**2 - 3/14*g**4 - 1/21*g**6 + 6/35*g**5. Factor k(d).
-2*d**2*(d - 1)**3/7
Let z(s) = -13*s**3 + 3*s**2 + 3*s + 2. Let b be z(-1). Suppose b*k = 19*k - 40. Determine a so that -5*a**3 + 14 + 9*a - 22 + 3*a**4 - k*a**2 + 11*a = 0.
-2, 2/3, 1, 2
Let c(m) = 20*m**2 + 180*m + 418. Let k(h) = -5*h**2 - 45*h - 104. Let o = -641 + 639. Let v(l) = o*c(l) - 9*k(l). What is x in v(x) = 0?
-5, -4
Let i(g) be the third derivative of -g**6/420 + 46*g**5/105 + 289*g**4/84 - 380*g**3/21 + 402*g**2. Let i(c) = 0. What is c?
-4, 1, 95
Determine j, given that 1299/5*j - 221/5*j**2 - 387 + 1/5*j**3 = 0.
3, 215
Let q be 45 - (-18)/3 - 17. Let x(h) be the first derivative of -1/9*h**3 - q + 0*h + 1/6*h**2. Factor x(m).
-m*(m - 1)/3
Let p(n) = n**2 - 2*n + 165. Let b be p(0). Suppose -8*z = 37 - b. Factor -114*h**4 + 112*h**4 - 46*h**2 + z*h**3 - 7 - 17 + 56*h.
-2*(h - 3)*(h - 2)**2*(h -