 g be -5 - ((-236)/20)/(-13 - q). Factor -g*h + 12*h**2 - 4/5.
2*(3*h - 2)*(10*h + 1)/5
Let t(f) be the second derivative of -f**5/70 + f**4 + 4*f**3/21 - 24*f**2 + 1657*f. Find a, given that t(a) = 0.
-2, 2, 42
Let f = 77066 - 77063. Determine p so that 0 - 10/3*p**2 - 2/3*p**f - 4*p = 0.
-3, -2, 0
Let d(n) = n + 12. Let a be d(-10). Suppose -114*y - 636 = -978. Let -3/4*b**4 + 3/2 + 9/4*b**a + 15/4*b - 3/4*b**y = 0. What is b?
-1, 2
Let s(w) = 2*w**3 - 2*w**2 + w - 1. Let i(z) = -3*z**3 - 13*z**2 - 64*z - 80. Let d(x) = -i(x) - s(x). Factor d(r).
(r + 3)**2*(r + 9)
Find k such that 42/13 + 2/13*k**2 + 44/13*k = 0.
-21, -1
Let r(s) be the first derivative of s**4/12 + 31*s**3/9 - 50*s**2/3 + 68*s/3 + 2331. Suppose r(g) = 0. What is g?
-34, 1, 2
Let l(b) be the third derivative of -b**8/1344 + 2*b**7/63 + 11*b**6/144 + 19*b**5/20 - 70*b**2. Let y(v) be the third derivative of l(v). Factor y(x).
-5*(x - 11)*(3*x + 1)
Suppose -2*u - 2*y = 3*u - 1170, 3*u - 702 = -3*y. Let r = -232 + u. What is h in 10/7*h**2 + r*h + 4/7 = 0?
-1, -2/5
Let r(z) be the second derivative of 0 - 1/6*z**4 - 20*z - 1/45*z**5 - 25/2*z**2 + 8/9*z**3. Let q(b) be the first derivative of r(b). Factor q(f).
-4*(f - 1)*(f + 4)/3
Suppose i + 2*x + 0 = -3, 4*i = -x - 33. Let w be (-1 - i/6)*4. Solve -160*h**2 + 2*h**3 + 3 - 3*h**5 + h - 4*h**4 - 3 + 164*h**w = 0 for h.
-1, -1/3, 0, 1
Let d(j) = -3509*j + j**3 + 80 + 16*j**2 + 1200*j + 1216*j + 1155*j. Let m be d(-11). Factor 18*y**4 + 27/2*y**5 - 6*y**2 + 3/2*y - 3*y**m + 0.
3*y*(y + 1)**2*(3*y - 1)**2/2
Factor 2/7*k**5 - 8/7*k**2 + 0 - 16/7*k + 10/7*k**4 + 12/7*k**3.
2*k*(k - 1)*(k + 2)**3/7
Let w(s) be the first derivative of 7*s**3/4 + 159*s**2/2 - 657*s/4 - 6113. Find n, given that w(n) = 0.
-219/7, 1
Let i be (-52 - -51)*(-8)/(-24)*(1 + -1). Factor i*p + 0*p**2 + 24/5*p**3 + 18/5*p**5 + 0 - 78/5*p**4.
6*p**3*(p - 4)*(3*p - 1)/5
Let i = -1262399 - -1262404. Solve -80/7*d**2 + 0 - 4/7*d**i + 72/7*d**3 - 16/7*d**4 + 4*d = 0 for d.
-7, 0, 1
Let h = 3590 + -3583. Let f(c) be the third derivative of 0*c + 0 - 1/9*c**3 + 7*c**2 + 1/90*c**5 - 1/24*c**4 + 0*c**h - 1/1008*c**8 + 1/90*c**6. Factor f(y).
-(y - 2)*(y - 1)*(y + 1)**3/3
Let k(s) = -s**2 + s + 1. Let y(m) = m**2 + 62*m + 38. Let j(u) = -6*k(u) - y(u). Let f(w) = 4*w**2. Let x(c) = -6*f(c) + 3*j(c). Let x(i) = 0. Calculate i.
-22, -2/3
Suppose 60 = 167*p - 155*p. Let a(d) be the first derivative of 5/14*d**4 + 0*d + p + 4/21*d**3 - 3/7*d**2. Solve a(c) = 0 for c.
-1, 0, 3/5
Solve 229*l**2 - 141 - 192*l + 192*l**3 + 4923*l**4 - 49 - 4921*l**4 - 41*l**2 = 0.
-95, -1, 1
Let m(f) be the first derivative of f**6/1260 - 2*f**5/35 + 11*f**4/21 + 13*f**3 - 39. Let u(v) be the third derivative of m(v). Find x, given that u(x) = 0.
2, 22
Let q(x) be the second derivative of 2*x**6/15 - x**5 - 26*x**4 + 1216*x**3/3 - 2240*x**2 + 9*x + 3. Find u such that q(u) = 0.
-10, 4, 7
Factor -64/5 - 2/5*z**2 - 129/5*z.
-(z + 64)*(2*z + 1)/5
Let z(m) = 4*m**2 - m + 1. Suppose 3*s = -2*l + 4 - 1, -2*s - l + 1 = 0. Let w(f) = -12*f**2 + 18*f - 18. Let b(k) = s*w(k) - 2*z(k). Let b(a) = 0. Calculate a.
2
Suppose 12*c - 28 + 16 = 0. Factor -13*w**2 + 17 + 33*w**2 + 4*w**3 + 32*w + c - 2.
4*(w + 1)*(w + 2)**2
Let d(l) = -3*l - 5 + l - 5 - 1. Let x be d(-13). Suppose -x - 2*r**2 - 10*r + 4*r**2 + 0*r**2 + 3*r**2 = 0. Calculate r.
-1, 3
Let o = -102 + 111. Let m be -4*((-1755)/12)/o. Factor 74*x**2 + 20*x - 25*x**3 + m*x**2 - 5*x - 149*x**2.
-5*x*(x + 1)*(5*x - 3)
Let o = 819093/13 - 63007. Let -o*v**3 + 98/13 - 126/13*v + 30/13*v**2 = 0. Calculate v.
1, 7
Let c = 19590 + -391797/20. Let f(t) be the first derivative of 0*t + c*t**5 - 1/2*t**3 + 3/16*t**4 + 0*t**2 - 37. Determine k, given that f(k) = 0.
-2, 0, 1
Let u(v) = v**2 - 147*v - 1235. Let w be u(-8). Let h(c) be the third derivative of 1/5*c**w + 0*c - 2*c**3 - 19*c**2 + 0 - 1/30*c**6 + 1/6*c**4. Factor h(t).
-4*(t - 3)*(t - 1)*(t + 1)
Let j(q) = 84*q**2 + 2548*q - 2632. Let z(p) = -13*p**2 - 392*p + 405. Suppose -33*f - 155 = -2*f. Let k(r) = f*j(r) - 32*z(r). Solve k(n) = 0 for n.
-50, 1
Let k be (996/20 - 1)*(3 - -2). Let a = 248 - k. Factor 28/5*p - 4/5*p**4 - 36/5*p**2 + a*p**3 - 8/5.
-4*(p - 2)*(p - 1)**3/5
Let a(c) = -4*c**3 - 12*c**2 - 2*c + 9. Suppose -u - 26 = -29. Let r(h) = -5*h**3 - 14*h**2 - 3*h + 8. Let o(j) = u*r(j) - 2*a(j). Let o(x) = 0. What is x?
-2, -1, 3/7
Let y(a) be the first derivative of a**4/5 + 24*a**3/5 - 222*a**2/5 + 368*a/5 + 2885. Factor y(w).
4*(w - 4)*(w - 1)*(w + 23)/5
Let p = -59000/3 + 19668. Solve 24*u**4 + 0 - 2/3*u**3 + 0*u - p*u**2 = 0.
-2/9, 0, 1/4
Suppose -125*h**2 - 84050 + 411*h + 123*h**2 - 1231*h = 0. What is h?
-205
Suppose 28 = 4*t - 5*x - 43, 4*t - 2*x - 86 = 0. Factor -t*z - 357 - 352 + 683 + 2*z**2.
2*(z - 13)*(z + 1)
Suppose 13*s = 20 + 6. Factor -537*j**2 + 44*j + 539*j**2 + 2 - s - 8*j.
2*j*(j + 18)
Solve 24*t - 136/3 - 2/3*t**2 = 0 for t.
2, 34
Find o such that -240/7*o**3 + 594/7*o**2 + 32/7*o**4 - 484/7*o + 0 = 0.
0, 2, 11/4
Suppose -93*s - 112 = -107*s. Let o(g) be the third derivative of 0 + 1/140*g**5 + 0*g**4 + 1/280*g**6 - s*g**2 + 0*g + 0*g**3. Factor o(b).
3*b**2*(b + 1)/7
Let y(p) = -p**3 + 8*p**2 - p - 5. Let g be y(4). Let 30*a + 33*a - 81*a + 38*a - g*a**3 + 15*a**4 + 40*a**2 = 0. What is a?
-1/3, 0, 2
Let w(c) be the second derivative of 1/12*c**4 - c**2 + 31/24*c**3 + 42 + c. Factor w(s).
(s + 8)*(4*s - 1)/4
Let y = 117497/4375 + 1429/625. Determine q, given that y*q**2 - 2/7*q**3 - 5202/7*q + 0 = 0.
0, 51
Let p(g) = -7071*g - 21201. Let h be p(-3). Factor h + 18*j**2 + 8/5*j**3 + 262/5*j.
2*(j + 5)*(j + 6)*(4*j + 1)/5
Let n = 579308/506821 - 12/72403. Find f such that -6/7*f - 2/7*f**3 - n*f**2 + 0 = 0.
-3, -1, 0
Let z(l) be the second derivative of -l**7/7560 + l**6/360 - l**5/135 - 49*l**3/3 + l - 4. Let u(m) be the second derivative of z(m). Factor u(w).
-w*(w - 8)*(w - 1)/9
Let z = 34 - 14. Suppose 4*p + 4*k - 2 = 5*p, k - z = -3*p. Find s such that -2*s + 13*s - p + 9*s**3 - 30*s**2 + 16*s = 0.
1/3, 1, 2
Suppose 0 = 90*n - 83*n - 21. Factor -6*y**3 + y**3 + 36 + 0*y**n + 6*y**3 + 93*y**2 - 32*y - 88*y**2.
(y - 2)**2*(y + 9)
Let w(m) be the first derivative of 4/7*m**2 - 108 - 1/21*m**3 + 0*m. Factor w(g).
-g*(g - 8)/7
Let z be ((-45)/46710)/((-1)/(-3)). Let u = 11075/1038 + z. Factor -4/3*h**2 - u*h + 12.
-4*(h - 1)*(h + 9)/3
Let -6*y**2 - 9 - 531725*y**3 + 43*y - 4*y - 33*y**2 + 531734*y**3 = 0. What is y?
1/3, 1, 3
Let q be (594/(-891))/((-8)/165). Determine a, given that -q*a - 5/4*a**2 + 15 = 0.
-12, 1
Let m = 10279/105 + -2053/21. Solve -14/15*h**2 - 8/15*h - m*h**3 + 8/5 = 0 for h.
-6, -2, 1
Suppose -156*u + 388/3*u**2 + 24 - 44/3*u**4 + 52/3*u**3 = 0. Calculate u.
-3, 2/11, 1, 3
Let w be (-5468)/(-5) + (-4 - -2). Let a = w - 1091. Solve a*d**4 + 6/5 - 3/5*d**3 + 3/5*d - 9/5*d**2 = 0 for d.
-1, 1, 2
Let u(w) be the second derivative of -w**4/20 + 397*w**3/5 - 472827*w**2/10 + 1008*w. Solve u(d) = 0.
397
Let y = 157 + -129. Let p(n) = -5*n + 140. Let k be p(y). Factor 0*b + 4/3*b**3 - 2*b**4 + 0*b**2 + k + 2/3*b**5.
2*b**3*(b - 2)*(b - 1)/3
Let o(j) be the third derivative of -j**8/168 - j**7/105 + 19*j**6/20 + 29*j**5/6 - 50*j**4/3 + 19*j**2 + 18*j. Determine l so that o(l) = 0.
-5, 0, 1, 8
Let j(n) be the third derivative of 1030301*n**6/24 + 10201*n**5 + 1010*n**4 + 160*n**3/3 - 188*n**2 + 5. Factor j(t).
5*(101*t + 4)**3
Let s(h) = -5*h**2 - 18*h. Let m be 1/(14/(-4) - -4). Let o(w) = 51*w - 34*w + w**2 + 4*w**2 + 0*w**m. Let j(i) = 3*o(i) + 2*s(i). Factor j(v).
5*v*(v + 3)
Suppose 32*c + 6745 = 729. Let i be -12 - -7 - (c/(-24))/(-1). Let 1/6*z**3 - 4/3 + i*z - 5/3*z**2 = 0. What is z?
1, 8
Suppose 0 = 5*h - 4*q + 8*q - 5, 5*h + 3*q = 10. Suppose -6*d + 13 = -h. Factor -d*x - 2*x**2 - 4/3 - 1/3*x**3.
-(x + 1)**2*(x + 4)/3
Let k(v) be the third derivative of v**6/30 - 73*v**5/15 + 228*v**4 - 864*v**3 + 1153*v**2. Factor k(x).
4*(x - 36)**2*(x - 1)
Let a(v) = v**2 + 17*v + 4. Let y be a(-17). Suppose -c = y*c - 20, c + 321 = 5*t. Factor -10 - 34*j + t*j - 26*j + 5*j**2.
5*(j - 1)*(j + 2)
Let w be (-4)/(-16) - (-291)/(-12). Let m = w + 31. Find n, given that m - 15 + 12*n**2 + 8 + 4*n = 0.
-1/3, 0
Let f(c) be the first derivative of -2*c**3/3 + 31*c**2 - 1