et p = 177/116 - 189/580. Factor 2/5*z**3 + p*z**2 + 2/5 + 6/5*z.
2*(z + 1)**3/5
Let x(k) = 8*k**3 + 20*k**2 - 12*k - 36. Let b = 271 + -265. Let h(t) = -6*t**3 - 20*t**2 + 12*t + 36. Let r(c) = b*h(c) + 5*x(c). Factor r(y).
4*(y - 3)**2*(y + 1)
Suppose 519*a**2 - 1043*a**2 - 21*a - 24 + 525*a**2 - 48 = 0. Calculate a.
-3, 24
Factor 312/5*a**2 - 40460 - 1938*a - 2/5*a**3.
-2*(a - 85)**2*(a + 14)/5
Let s(c) be the third derivative of 1/12*c**4 + 0 + 1/20*c**5 + 0*c**3 - 1/120*c**6 + 2*c**2 - 6*c - 1/336*c**8 - 1/70*c**7. Let s(l) = 0. What is l?
-2, -1, 0, 1
Factor -1529*w + 844 - 5*w**2 + 1286 + 355*w + 479*w.
-5*(w - 3)*(w + 142)
Let v = 104 - 101. What is i in -24*i**3 - 63*i**2 - 54*i**3 + 60*i + 81*i**v = 0?
0, 1, 20
Let t(v) be the third derivative of -v**5/30 - 311*v**4/3 - 386884*v**3/3 - 2442*v**2. Let t(f) = 0. Calculate f.
-622
Let v(h) be the first derivative of -114*h**5/5 + 115*h**4 - 472*h**3/3 + 8*h**2 - 167. Factor v(i).
-2*i*(i - 2)**2*(57*i - 2)
Factor -3/7 + 786/7*x - 783/7*x**2.
-3*(x - 1)*(261*x - 1)/7
Let x = 674 - 702. Let u(i) = -38*i**2 - 68*i - 30. Let r(o) = -8*o**2 - 14*o - 6. Let v(d) = x*r(d) + 6*u(d). Factor v(a).
-4*(a + 1)*(a + 3)
Let p be -68*(-64)/10880 + (-22)/(-5). Solve 87/5*t**2 + p - 78/5*t + 3/5*t**5 - 3/5*t**4 - 33/5*t**3 = 0 for t.
-4, 1, 2
Solve -44/3*a + 4/3*a**5 - 28/3*a**4 + 40/3*a**3 + 20/3 + 8/3*a**2 = 0.
-1, 1, 5
Let d(g) be the third derivative of -g**7/315 + 29*g**6/90 + 119*g**5/90 + 5*g**4/3 - 216*g**2 - 2. Factor d(l).
-2*l*(l - 60)*(l + 1)**2/3
Let h(t) be the second derivative of -3*t**5/20 + 23*t**4/2 - 86*t**3 + 252*t**2 + 2*t - 1443. What is l in h(l) = 0?
2, 42
Let t(z) be the second derivative of -z**5/4 - 35*z**4 + 5*z**3/6 + 210*z**2 + 10556*z. Factor t(b).
-5*(b - 1)*(b + 1)*(b + 84)
Determine c so that -338/7*c + 2/7*c**3 + 0 + 0*c**2 = 0.
-13, 0, 13
Let p(r) be the second derivative of -r**7/10080 + 13*r**6/720 - 169*r**5/120 - 67*r**4/12 + 3*r. Let h(c) be the third derivative of p(c). Factor h(j).
-(j - 26)**2/4
Find q, given that -238/9 - 2/9*q**2 + 16/3*q = 0.
7, 17
Let u be -36*(-5)/(-12)*(-600)/2000. Factor u*q**2 + 1 + 7/2*q + 5/2*q**3 + 1/2*q**4.
(q + 1)**3*(q + 2)/2
Factor 0 - 43/8*o - 1/8*o**2.
-o*(o + 43)/8
Let o(w) = 21*w + 186. Let t be o(-8). Let n be ((-117)/t + 7)*(-8)/(-12). Suppose 0 - n*x**5 - x**3 + 4/3*x + 5/3*x**4 - 5/3*x**2 = 0. Calculate x.
-1, 0, 1, 4
Let j(h) be the second derivative of -5/8*h**3 + 22*h - 3/16*h**4 - 1/80*h**5 - 7/8*h**2 + 4. What is z in j(z) = 0?
-7, -1
Let j(x) be the first derivative of -49/2*x - 25/16*x**4 + 9/2*x**3 + 36 + 1/10*x**5 + 175/8*x**2. Find y such that j(y) = 0.
-2, 1/2, 7
Let i(l) be the third derivative of 0 - 11/8*l**4 - 6*l**3 - 17*l**2 + 2*l + 1/20*l**5. Determine s so that i(s) = 0.
-1, 12
Let s = 1660471/210 - 7907. Let t(c) be the third derivative of -s*c**7 + 0*c**4 + 0*c + 0*c**5 + 16*c**2 + 0*c**3 + 1/240*c**6 + 0. Factor t(h).
-h**3*(2*h - 1)/2
Let n be ((-756)/60 - -13)*215/43. Suppose 256/3 - 6*f**3 - 1216/3*f + 292/3*f**n = 0. Calculate f.
2/9, 8
Let y(f) = -2*f**2 - 4776*f - 94716. Let c be y(-20). Let -33/5 + 24/5*s**3 + 3/5*s**c + 96/5*s - 18*s**2 = 0. What is s?
-11, 1
Factor 892 - 820586*j + 2*j**2 + 86 + 820918*j.
2*(j + 3)*(j + 163)
Let j(n) = -11*n**2 + 1339*n + 432. Let v(k) = -28*k**2 + 3352*k + 1080. Let f(m) = 13*j(m) - 5*v(m). Factor f(p).
-(p - 216)*(3*p + 1)
Let 705*y**4 - 40 + 2673566*y**2 - 405*y**5 + 25*y**3 - 2674516*y**2 + 380*y + 285*y**4 = 0. What is y?
-1, 2/9, 1, 2
Let b = -1/988686 + 17796355/6920802. Determine y so that -274/21*y**3 - 300/7*y + 410/7*y**2 - 2/21*y**5 - b*y**4 + 0 = 0.
-15, 0, 1, 2
Let b(n) be the first derivative of -18*n**5/25 + 83*n**4/10 - 6*n**3/5 - 83*n**2/5 + 36*n/5 - 999. Determine c so that b(c) = 0.
-1, 2/9, 1, 9
Let g(l) be the second derivative of 74*l - 3/5*l**5 + 2/5*l**6 + 1/3*l**4 + 0 - 2/21*l**7 + 0*l**3 + 0*l**2. Factor g(r).
-4*r**2*(r - 1)**3
Factor -207*b**3 - 24*b**4 - 1097*b**5 + 0*b**3 + 3*b**4 - 351*b**2 + 1100*b**5.
3*b**2*(b - 13)*(b + 3)**2
Let -98*p**5 + 691/2*p**3 - 1111/2*p**2 + 140*p**4 - 18 + 186*p = 0. Calculate p.
-2, 3/14, 1, 2
Let z(r) be the first derivative of 98*r**3/57 + 140*r**2/19 + 200*r/19 - 688. Factor z(s).
2*(7*s + 10)**2/19
Determine p, given that 63368/13 - 712/13*p + 2/13*p**2 = 0.
178
Suppose -4*w - l = -6*l - 21, 3*w = 5*l + 17. Determine g, given that 335*g**4 + 2*g**3 - 168*g**w - 165*g**4 - 4*g**2 = 0.
-2, 0, 1
Suppose -12*o - 12 = -60. Find h, given that -19*h**2 + 58*h**2 - 19*h**2 + o*h - 19*h**2 = 0.
-4, 0
Suppose -86*b - 100 = -111*b. Suppose 50/7*u**2 + 36/7*u - 34/7*u**b - 6/7*u**5 - 30/7*u**3 - 16/7 = 0. What is u?
-4, -2, -1, 1/3, 1
Let x be (-198)/44 + (-95)/(-19). Let -1 - 1/2*l**4 + x*l - 1/2*l**3 + 3/2*l**2 = 0. Calculate l.
-2, -1, 1
Let u(o) = 2*o**5 - 2*o**4. Let h(n) = 63*n**5 - 733*n**4 - 909*n**3 + 293*n**2 + 294*n - 88. Let y(r) = h(r) + 6*u(r). Find l, given that y(l) = 0.
-1, -4/5, 1/3, 2/5, 11
Suppose 383 = 11*b + 350. Let z(t) be the third derivative of -47/20*t**6 + 0 + 1/2*t**7 + 13/5*t**5 + 0*t**3 - t**4 + 0*t + b*t**2. Find j such that z(j) = 0.
0, 2/7, 2/5, 2
Let i(r) be the first derivative of r**4/2 - 260*r**3/3 + 992*r**2 - 3904*r - 4123. Find h such that i(h) = 0.
4, 122
Suppose a + 39*d = 40*d, -2*a + 4*d = 4. Let u(o) be the third derivative of 0*o + 0 + 1/165*o**5 - 1/132*o**4 - 2/33*o**3 + 17*o**a + 1/660*o**6. Factor u(c).
2*(c - 1)*(c + 1)*(c + 2)/11
Solve -2/3*c**3 - 158/3*c**2 - 13690/3 - 3478/3*c = 0 for c.
-37, -5
Let n(l) be the third derivative of -5/48*l**5 + 0*l**4 - 4*l**2 + 0 - 6*l + 0*l**3 + 1/96*l**6. What is o in n(o) = 0?
0, 5
Let l(o) be the third derivative of -19*o**2 + 4/27*o**3 + 0*o + 169/30*o**5 - 13/9*o**4 + 0. Factor l(u).
2*(39*u - 2)**2/9
Suppose 5*m + 4*k - 65 = -59, 23 = 9*m - 5*k. Find x, given that 2/9*x**m + 8/9 - 8/9*x = 0.
2
Let j = -124 + 124. Let w be 4 + -4 + 2 - j. Factor 8*u**2 - 8*u**w + 10*u**3 + 5*u**4.
5*u**3*(u + 2)
Let z be (-8)/(-96)*8*(-201)/(-2). Solve 64 + x**2 + 24*x + 59*x - z*x = 0.
-8
Suppose 38*f - 6*f - 480 = -64*f. Let r(m) be the third derivative of 0*m - 1/3*m**f + 0 - 9*m**2 + 1/3*m**3 - 3/4*m**4. Factor r(s).
-2*(s + 1)*(10*s - 1)
Let k(w) = 5*w**5 - 224*w**4 - 469*w**3 - 246*w**2 - 108. Let t(a) = -a**4 - a**3 + a**2 + 18. Let m(p) = -k(p) - 6*t(p). Suppose m(v) = 0. What is v?
-1, 0, 48
Let w(g) be the third derivative of -1/90*g**5 - 4/9*g**3 - 2*g**2 + 0*g + 1/6*g**4 - 1/120*g**6 - 13 + 1/630*g**7. Factor w(n).
(n - 2)**2*(n - 1)*(n + 2)/3
Let u be (-2)/(5 + (-44)/(-8)*-1). What is g in 3*g**5 - 8*g**4 - 15*g**4 + 15*g**u - 28*g**4 = 0?
0, 12
Let r(t) be the second derivative of -2*t**7/7 - t**6/30 + 49*t**5/20 + t**4/3 - 2*t**3/3 + 10102*t. Let r(v) = 0. What is v?
-2, -1/3, 0, 1/4, 2
Let p(u) = -u**5 - u**3 + u**2 + u. Let g(d) = -24*d**5 - 214*d**4 + 292*d**3 + 220*d**2 - 250*d - 24. Let c(w) = -2*g(w) - 36*p(w). Solve c(v) = 0 for v.
-6, -1, -2/21, 1
Let a(m) be the first derivative of 1/10*m**5 + 0*m**2 - 17*m - 2/3*m**3 - 11 - 1/6*m**4. Let s(p) be the first derivative of a(p). Find u, given that s(u) = 0.
-1, 0, 2
Suppose 0 = g + 5*r - 0*r - 71, 5*g + 5*r - 395 = 0. Factor -324*d**2 + 57 + g*d - 21*d + 327*d**2.
3*(d + 1)*(d + 19)
Let a(f) = 14*f**3 - 46*f**2 - 78*f - 98. Let u(s) = -2*s**3 + 2*s**2 - 6*s. Let z(y) = a(y) + 8*u(y). Suppose z(v) = 0. Calculate v.
-7, -1
Let h(a) be the first derivative of 0*a - 6*a**3 - 177 + 1/12*a**6 + 4*a**2 + 7/2*a**4 - 9/10*a**5. Factor h(g).
g*(g - 4)*(g - 2)**2*(g - 1)/2
Let n(b) be the second derivative of b**5/420 - 13*b**4/168 - 181*b**2/2 - 2*b - 87. Let i(p) be the first derivative of n(p). Factor i(q).
q*(q - 13)/7
Suppose 8*w - 1392 = -4*w. Let k = 171 - w. Factor -3*c**4 + k*c - 73*c - 21*c**3 - 18 - 51*c**2 - 33*c.
-3*(c + 1)**2*(c + 2)*(c + 3)
Suppose -75*u - 46*u - 21*u = 11*u - 306. Let 0 - 432*w - 1/3*w**3 - 24*w**u = 0. Calculate w.
-36, 0
Let z(c) be the first derivative of -c**3/3 - 7*c**2 - 18*c - 20. Let t be z(-12). Suppose 22*i**2 + t - 18*i**2 - 7*i**2 + 3*i = 0. What is i?
-1, 2
Suppose -48*l - 19*l**3 + 55*l**3 - 44*l**2 - 32*l**3 = 0. Calculate l.
-1, 0, 12
Let m(g) be the first derivative of g**6/21 - 94*g**5/35 + 344*g**4/7 - 6208*g