 + 1681*z**2.
-2*z*(z - 13)*(z - 1)**2
Let x(g) be the first derivative of 10/11*g**3 + 1/22*g**4 + 75/11*g**2 + 250/11*g + 35. Factor x(s).
2*(s + 5)**3/11
Determine n so that 850*n**4 - 16*n**2 - 5*n**5 - 55*n**5 + 747*n**4 - 1473*n**4 = 0.
-1/3, 0, 2/5, 2
Let b(r) be the third derivative of -r**5/15 - 440*r**4/3 - 387200*r**3/3 - 6851*r**2 + r. Determine x so that b(x) = 0.
-440
Factor 0 - 6/17*u**4 + 1448/17*u**3 - 86878/17*u**2 - 58564/17*u.
-2*u*(u - 121)**2*(3*u + 2)/17
Let b be 44 + -5*(-3808)/(-640). Suppose -3/4*y**4 - 231/4*y - 45/2 - 195/4*y**2 - b*y**3 = 0. Calculate y.
-15, -2, -1
Let m be 2/(-4) - (-12782)/28. Let y = -454 + m. Suppose 0*b + 0 + 2/7*b**y = 0. What is b?
0
Let j = -109 - -129. Let l be ((-168)/(-70))/(18/j). Factor -4/3*n**2 - l - 4*n.
-4*(n + 1)*(n + 2)/3
Let q(b) = 27*b**3 - 147*b**2 - 788*b - 976. Let n(j) = 6*j**3 + j - 1. Let h(g) = 4*n(g) - q(g). What is r in h(r) = 0?
-3, -2, 54
Let l(j) be the second derivative of 0*j**2 + 10/3*j**3 + 0 + 0*j**4 + 160*j - 1/4*j**5. Factor l(a).
-5*a*(a - 2)*(a + 2)
Let p(m) = 5*m**2 + 133*m - 762. Let n(g) = g**2 - 17*g + 2. Let h(y) = 3*n(y) - p(y). Solve h(a) = 0 for a.
-96, 4
Let p(k) be the second derivative of -7/2*k**4 - 1/14*k**7 + 18*k**2 + 9/5*k**5 + 1/5*k**6 - 11/2*k**3 + 59*k + 0. Let p(d) = 0. Calculate d.
-3, -1, 1, 4
Suppose -g = 5*d - 14, -2*d - 16 = 7113*g - 7118*g. Let m**d + 5 - 21/2*m = 0. Calculate m.
1/2, 10
Let v(m) = 38*m - 7 + 26 - 38*m - m**2. Let s(a) = -a**2 + 39. Let c be ((-3)/9)/((-6)/54). Let i(k) = c*s(k) - 7*v(k). Factor i(u).
4*(u - 2)*(u + 2)
Let m(t) be the first derivative of -2/9*t**3 + 73 + 1/15*t**5 + 0*t**2 + 1/3*t + 0*t**4. Find v such that m(v) = 0.
-1, 1
Let i(w) = 5*w**3 - 53*w**2 - 249*w - 411. Let b(x) = -5*x**3 + 56*x**2 + 248*x + 412. Let y(l) = 11*b(l) + 12*i(l). Let y(k) = 0. What is k?
-4, -2, 10
Suppose -1108 = 447*r - 1321*r + 3262. Find t, given that 0 + 8/5*t**3 - 4/5*t**4 + 4/5*t**2 - 6/5*t - 2/5*t**r = 0.
-3, -1, 0, 1
Let d(a) be the second derivative of -a**4/4 + 41*a**3 + 765*a**2/2 + 950*a. Factor d(o).
-3*(o - 85)*(o + 3)
Let v be (-5)/((-390)/29) - 89/(31239/(-162)). Factor -2/3 - v*z**2 - 2*z.
-(z + 2)*(5*z + 2)/6
Determine w, given that -30 + 1026*w**2 + 265*w**2 + 487*w + 315*w**3 + 88*w - 151*w**2 = 0.
-3, -2/3, 1/21
Let r(q) be the first derivative of -q**4/2 + q**3 - 2*q**2 + 4*q + 14. Let a be r(-4). Factor a + 6*g - 57*g - 5*g + 4*g**2.
4*(g - 7)**2
Let m(f) = 37*f**2 - 28*f - 7. Let d be m(1). Let u(c) be the second derivative of -12*c**d + 3/80*c**5 + 0 - 5/8*c**4 + 11*c + 4*c**3. Factor u(s).
3*(s - 4)**2*(s - 2)/4
Let m(u) be the first derivative of 9*u - 3/5*u**5 - 2*u**3 + 6*u**2 - 3*u**4 - 38. Let m(j) = 0. What is j?
-3, -1, 1
Let u be (-1272)/(-7950)*(4 - 3). Factor 44/25*n**5 + u*n**3 + 0*n**2 - 6/5*n**4 + 0*n + 0.
2*n**3*(2*n - 1)*(11*n - 2)/25
Let k = 3728 + -18639/5. Let p(w) be the second derivative of -k*w**5 + 0 - w**4 + 2/3*w**3 + 2/15*w**6 + 4*w**2 + 18*w. Factor p(v).
4*(v - 2)*(v - 1)*(v + 1)**2
Let c(p) be the first derivative of -p**7/840 + p**6/180 + p**5/8 - 3*p**4/2 + 2*p**3/3 - 12*p**2 - 93. Let u(x) be the third derivative of c(x). Factor u(z).
-(z - 3)**2*(z + 4)
Let z(x) = 15*x**2 - 10*x - 90. Let j(t) = 17*t**2 - 9*t - 90. Let k = 548 - 543. Let h(y) = k*j(y) - 6*z(y). Factor h(l).
-5*(l - 6)*(l + 3)
Solve 3865/4*c - 5/2 + 1935/4*c**2 = 0.
-2, 1/387
Find t, given that 120*t**3 + 46*t**5 - 42*t + 27*t - 16*t**5 - 50*t**2 - 55*t**5 - 30*t**4 = 0.
-3, -1/5, 0, 1
Suppose 0 = -432*f + 423*f - 27. Let s be f + (-70)/(-18) + 2/(-3). Suppose -2/3*g**2 + 4/9*g + s*g**3 + 0 = 0. What is g?
0, 1, 2
Solve -1/5*b**5 + 0 + 6/5*b**4 - 1/5*b**3 + 4*b - 24/5*b**2 = 0 for b.
-2, 0, 1, 2, 5
Let t(j) be the third derivative of -j**8/84 - 64*j**7/35 - 767*j**6/10 + 286*j**5/15 + 1120*j**4 - 3072*j**3 - 7*j**2 - 52*j. Determine z so that t(z) = 0.
-48, -2, 1
Suppose -10*l = -24 + 4. Let r be (8 - l)/((-12)/(-8)). Factor -15/7*f + 15/7*f**r - 30/7*f**3 - 3/7*f**5 + 30/7*f**2 + 3/7.
-3*(f - 1)**5/7
Let u(i) be the first derivative of -i**6/3 - 4*i**5/5 + 57*i**4/2 - 36*i**3 + 4685. Let u(j) = 0. What is j?
-9, 0, 1, 6
Let t be -13 + -3 - (-8)/(-2). Let b(s) = -s**2 - 22*s - 36. Let f be b(t). Factor 8 + 3*h**2 - 6 - f + 0 + h.
(h + 1)*(3*h - 2)
Let o(r) = -r**2 - 6*r + 11. Suppose 8*q - 6*q = 0. Let f be o(q). Factor f*i**2 - 43*i**2 + 35*i**3 - 792*i**4 + 324*i**5 + 269*i**3.
4*i**2*(i - 2)*(9*i - 2)**2
Suppose 5*s + 31*y = 33*y + 22, -4 = -2*s - 4*y. Let k(x) be the second derivative of -1/4*x**s + 5*x**3 - 17*x + 0 - 75/2*x**2. Let k(a) = 0. What is a?
5
Let i be -114*1/((-546)/434)*15. Suppose 6/13*j**4 + 119164/13 - 562/13*j**3 + i*j**2 - 190278/13*j = 0. What is j?
2/3, 31
Let z(m) = m**3 - 6*m**2 + 3*m - 3. Let h be z(6). Suppose 91 = h*l - 29. Suppose 7 - i + 2*i + i**2 - i + l*i = 0. What is i?
-7, -1
Let k(s) be the first derivative of s**4/8 + 55*s**3/6 - 57*s**2/2 + 1831. Factor k(t).
t*(t - 2)*(t + 57)/2
Let g = -92604079/2991510 - -5/66478. Let j = g + 162/5. Find t, given that -2/3*t**3 - 4/3*t - j*t**2 - 1/9*t**4 - 4/9 = 0.
-2, -1
Let g(j) be the second derivative of 2/27*j**3 + 9*j - 1/90*j**5 + 9 + 0*j**2 + 1/54*j**4. What is o in g(o) = 0?
-1, 0, 2
Let o(c) be the first derivative of c**5/28 - c**4/42 - 2*c**3/21 - 29*c**2/2 + 66. Let j(b) be the second derivative of o(b). Suppose j(u) = 0. What is u?
-2/5, 2/3
Let m(k) = 2*k**2 - 12*k + 5. Let j be m(6). Let x be 36/30 - 1 - (-379)/j. What is z in -3*z**2 - 36*z + 58 - 90 - x = 0?
-6
Let j(q) = 5*q**4 - 3*q**3 - q**2 - 5*q - 4. Suppose -33*i = -32*i + 1. Let v(x) = x**4 - x**3 - x - 1. Let d(c) = i*j(c) + 4*v(c). Factor d(f).
-f*(f - 1)*(f + 1)**2
Let c(v) be the third derivative of 11*v**5/60 + v**4/3 - v**3/2 + 985*v**2. Factor c(i).
(i + 1)*(11*i - 3)
Determine l, given that 17 - 1/3*l**3 + 49/3*l**2 + 101/3*l = 0.
-1, 51
Let c = 593 + -594. Let o be (4/(-60))/(c/6). Factor 6/25*u**3 + 0 + o*u**4 - 4/25*u**2 + 0*u.
2*u**2*(u + 1)*(5*u - 2)/25
Factor 1396/3*o - 2/3*o**3 - 448 - 50/3*o**2.
-2*(o - 16)*(o - 1)*(o + 42)/3
Let j = 784 + -780. Suppose 4*k = 5*l + 8, 0 = -k - j*k - 3*l + 10. Factor 0 + 112/3*o**3 + 32/3*o**4 + 50/3*o**k + 2*o.
2*o*(o + 3)*(4*o + 1)**2/3
Let p(i) be the third derivative of -5/8*i**4 + 2*i**3 + 0 + 1/8*i**6 - 1/70*i**7 + 254*i**2 - 3/20*i**5 + 0*i. What is f in p(f) = 0?
-1, 1, 4
Let f be (-2144)/(-224) - (-4)/(-7). Factor -157*l**3 - 152*l**3 + 3*l + 3*l**4 + 318*l**3 + f*l**2.
3*l*(l + 1)**3
Let w = -1579 - -1623. Suppose w*c - 38*c = 0. Find r, given that c + 2/3*r**3 - 40/3*r**2 + 200/3*r = 0.
0, 10
Let f(v) be the first derivative of -2*v**3/3 + 233*v**2/2 - 231*v - 2630. Find z such that f(z) = 0.
1, 231/2
Let r = -1937 + 1937. Let c(a) be the second derivative of -1/30*a**6 + r*a**5 + 0*a**2 + 0 - 13*a + 1/3*a**3 + 1/4*a**4. Factor c(m).
-m*(m - 2)*(m + 1)**2
Let p = -128 - -131. Factor -6*i**3 - 56 + 4*i**p - 21*i**2 - i**3 + 56.
-3*i**2*(i + 7)
Suppose -5*v + 3*v + 402 = 0. Let o = v + -601/3. Solve 0*d + 2/3*d**5 + 0 + o*d**4 - 2/3*d**3 - 2/3*d**2 = 0.
-1, 0, 1
Let j be (-5 - -1) + ((-6)/(-18))/((-1)/(-12)). Let p(s) be the third derivative of j + 1/30*s**4 + 0*s - 16*s**2 + 1/450*s**5 + 1/5*s**3. Factor p(m).
2*(m + 3)**2/15
Let -106/9*v**2 - 205/9*v + 104/3 - 1/9*v**3 = 0. What is v?
-104, -3, 1
Let z be (1 + (-21)/12)/(81/(-432)). Let a(h) be the first derivative of -1/10*h**z + 3/5*h**2 + 0*h**3 + 12 + 4/5*h. Suppose a(c) = 0. What is c?
-1, 2
Let k(g) = -6*g**3 - 12*g**2 + 15*g + 42. Let a(f) = -7*f**3 - 13*f**2 + 14*f + 48. Let p(q) = 3*a(q) - 4*k(q). Let p(i) = 0. Calculate i.
-4, -1, 2
Let z = 57090 + -627988/11. Factor 2/11*s**3 - 34/11*s + 30/11 + z*s**2.
2*(s - 3)*(s - 1)*(s + 5)/11
Let h(t) be the third derivative of t**5/150 + t**4/5 + 11*t**3/15 - 696*t**2. Determine v so that h(v) = 0.
-11, -1
Let b(c) be the third derivative of c**5/240 - 239*c**4/24 - 2*c**2 - 902. What is h in b(h) = 0?
0, 956
Suppose 6 = 2*l, 3*l - 666 = o + 8*l. Let z = 681 + o. Suppose 8/3*s**2 + z + 0*s - 12*s**3 = 0. What is s?
0, 2/9
Let n(k) = -39*k**3 + 597*k**2 + 247*k - 7. Let z = 746 - 753. Let y(b) = 37*b**3 - 596*b**2 - 246*b + 6. Let h(g) = z*y(g) - 6*n(g). Factor h(q).
-5*q*(q - 24)*(5