5*o**5 + 4/3*o**4 + 4*o + 0*o**3 + 0*o**2 + 14/15*o**6 + 0. Determine a, given that b(a) = 0.
-2, -2/7, 0
Let r(f) be the second derivative of f**6/60 - f**5/60 + 13*f**3/6 + f. Let a(z) be the second derivative of r(z). Let a(h) = 0. What is h?
0, 1/3
Let 20*a**2 - 35 - 7*a - 5*a**3 + 3*a + 15*a**2 + 9*a = 0. Calculate a.
-1, 1, 7
Suppose 5*j + 2 - 4*j**3 + 2*j**5 - 4*j**5 - 4*j**4 - j**5 + 2*j**2 + 2*j**5 + 0*j**2 = 0. What is j?
-2, -1, 1
Let l be (-146)/(-9) - ((-352)/72)/(-22). Factor l*t - 4 - 23/4*t**4 - 24*t**2 + 3/4*t**5 + 17*t**3.
(t - 2)**3*(t - 1)*(3*t - 2)/4
Let m(c) = c**3 - 2*c**2 - 9*c + 7. Let i be m(4). Suppose -2 + 9 = t. Let -g + 3*g**2 + 2 + i - 2 + t*g = 0. Calculate g.
-1
Suppose 4*d + 3*r - 6 - 8 = 0, 0 = 3*d - 4*r + 2. Let 111 - 111 - 2*o - d*o**3 - 4*o**2 = 0. What is o?
-1, 0
Suppose 542 + 567*k + 60 - 98 - 411*k - 44*k**3 - 100*k**2 - 4*k**4 = 0. What is k?
-7, -3, 2
Let j be (1 + 0)*(-1440)/(-75). Let l = 207/10 - j. What is k in 2*k - 2/3 - l*k**2 + 1/2*k**4 - 1/3*k**3 = 0?
-2, 2/3, 1
Factor 4/15 - 2/3*v**5 + 44/15*v**4 - 76/15*v**3 - 26/15*v + 64/15*v**2.
-2*(v - 1)**4*(5*v - 2)/15
Let p(v) = -3*v**2 - 16*v + 159. Let l be p(5). Determine h so that 2/7*h + 4/7 - 8/7*h**3 + 6/7*h**5 - 12/7*h**2 + 8/7*h**l = 0.
-1, 2/3, 1
Let t(z) = -z**2 + 83*z - 849. Let r be t(71). Solve 1/2*x**4 - x**r - 1/2 + x + 0*x**2 = 0 for x.
-1, 1
Let d be 6/4 + 1125/(-1350). Let z(m) = m**2 - 2*m + 2. Let n be z(2). Let 0 + d*k + 4/3*k**n - 14/3*k**3 + 8/3*k**4 = 0. Calculate k.
-1/4, 0, 1
Let o be (3/(-5))/(3/(-4)). Let x be 2/(-4)*(-66 - -66). Factor 0*j**2 - 2/5*j + x*j**4 + 0 + o*j**3 - 2/5*j**5.
-2*j*(j - 1)**2*(j + 1)**2/5
Let t(h) be the first derivative of 5*h**4/16 + 7*h**3/8 + 3*h**2/4 + 37*h + 35. Let k(m) be the first derivative of t(m). Factor k(p).
3*(p + 1)*(5*p + 2)/4
Let g be (-3)/(-20) - (-1)/4. Let o(d) = 683*d - 1364. Let b be o(2). Factor g*n**b - 6/5*n + 0.
2*n*(n - 3)/5
Factor 8/5 - 22/15*d - 2/15*d**2.
-2*(d - 1)*(d + 12)/15
Let t(g) be the first derivative of 312*g**5/5 - 77*g**4 - 4*g**3/3 - 497. Determine x so that t(x) = 0.
-1/78, 0, 1
Let l(r) = r + 3. Let y(p) = -p**2 - 5*p - 8. Let t(w) = 2*l(w) + y(w). Solve t(f) = 0 for f.
-2, -1
Let g(i) be the second derivative of -i**6/20 - 381*i**5/160 - 53*i**4/8 - 59*i**3/16 + 45*i**2/8 - 2*i + 147. Solve g(c) = 0 for c.
-30, -1, 1/4
Suppose 10*y - 133 = 3*y. Solve 15 - 12*t - 5 - y - 4*t**2 = 0 for t.
-3/2
Let u(h) be the third derivative of h**8/1344 - h**6/144 - h**4/8 + 14*h**2. Let w(g) be the second derivative of u(g). Factor w(y).
5*y*(y - 1)*(y + 1)
Suppose 0 = -3*j - 3, -7 = 8*o - 12*o - j. Suppose 1/9*z**o - 1/3*z + 0 = 0. What is z?
0, 3
Let x(f) be the third derivative of -1/300*f**5 + 0*f + 0 + 0*f**3 + 12*f**2 - 1/40*f**4. Find w, given that x(w) = 0.
-3, 0
Let p(f) be the third derivative of f**8/6720 + f**7/1680 - f**5/240 - f**4/96 + 2*f**3 - 2*f**2. Let j(z) be the first derivative of p(z). Factor j(v).
(v - 1)*(v + 1)**3/4
Let a(g) be the second derivative of g**4/15 + 236*g**3/5 + 62658*g**2/5 - 77*g. Determine m so that a(m) = 0.
-177
Let z be (6/(-8))/((-3)/12). Factor -6*s + 3*s**5 - 12*s**z - 19*s**4 - 15*s**2 + 3*s**3 + 22*s**4.
3*s*(s - 2)*(s + 1)**3
Suppose -684 = 65*p - 879. Factor 1/6*d + 0 - 1/6*d**5 + 0*d**p - 1/3*d**2 + 1/3*d**4.
-d*(d - 1)**3*(d + 1)/6
Let p = 274/915 - 2/61. Solve -2/15*n**5 + 0*n**2 - 2/15*n + 0 + p*n**3 + 0*n**4 = 0 for n.
-1, 0, 1
Let u(p) be the first derivative of -2*p**3/21 + 86*p**2/7 - 3698*p/7 - 521. Factor u(l).
-2*(l - 43)**2/7
Let q(o) be the first derivative of 1/18*o**4 + 0*o + 6 + 4/27*o**3 - 1/3*o**2. Factor q(l).
2*l*(l - 1)*(l + 3)/9
Let q(r) be the first derivative of 12 - 6*r**2 + 0*r + 0*r**4 + 1/15*r**5 + 0*r**3. Let v(i) be the second derivative of q(i). What is o in v(o) = 0?
0
Suppose -225*n - 82 = -266*n. Determine r, given that 26/5*r + 169/5 + 1/5*r**n = 0.
-13
Let s = 16/27 - 10/27. Let n(i) be the first derivative of -2/9*i + s*i**2 + 4 + 2/9*i**3. Factor n(b).
2*(b + 1)*(3*b - 1)/9
Suppose -17 = 5*a - 27. Let o(m) = m**3 - 5*m**2 + 6*m - 8. Let n be o(4). Factor n + 0*h - 2/9*h**a - 2/9*h**3.
-2*h**2*(h + 1)/9
Let 20/9*y - 1/9*y**2 - 4 = 0. Calculate y.
2, 18
Let c(j) be the third derivative of j**7/1680 + j**6/360 - 2*j**3 - 3*j**2. Let h(s) be the first derivative of c(s). Factor h(r).
r**2*(r + 2)/2
Let u(w) be the first derivative of w**6/150 - 3*w**5/100 + w**4/20 - w**3/30 + 25*w**2/2 - 16. Let k(n) be the second derivative of u(n). Factor k(v).
(v - 1)**2*(4*v - 1)/5
Suppose 6*b - b = 25. Suppose -b*k - 3*j = -645, -k + 3*j - 32 = -179. Factor -48*c**3 - k*c + 24 + 22*c**3 - 49*c**3 + 210*c**2.
-3*(c - 2)*(5*c - 2)**2
Let p = 376 + -374. Let j(d) be the second derivative of 1/55*d**6 - 1/11*d**p + d - 1/33*d**4 + 1/231*d**7 + 1/55*d**5 + 0 - 1/11*d**3. Factor j(b).
2*(b - 1)*(b + 1)**4/11
Let x = 119388/50501 + -2/4591. Let b = 1300 + -1298. Find n, given that b*n + x*n**2 + 4/11 + 8/11*n**3 = 0.
-2, -1, -1/4
Suppose 3*m - a - 10 = m, 4*a + 4 = -4*m. Let p(v) be the first derivative of -1 + 1/15*v**m + 1/5*v - 1/5*v**2. Solve p(y) = 0.
1
Factor -88*y - 26*y - 611*y**3 - 8*y**2 + 56 + 609*y**3 + 68*y**2.
-2*(y - 28)*(y - 1)**2
Let d(w) be the third derivative of w**6/900 + 67*w**5/450 + 77*w**4/12 + 121*w**3/5 + 2*w**2 - 466. Factor d(c).
2*(c + 1)*(c + 33)**2/15
Factor -25/4*i - 1/4*i**2 + 0.
-i*(i + 25)/4
Factor 24/5*m**3 + 0*m + 0 + 1/5*m**5 + 4*m**2 + 9/5*m**4.
m**2*(m + 2)**2*(m + 5)/5
Let r(w) be the third derivative of 0*w - 1/490*w**7 + 0*w**3 + 12*w**2 - 3/280*w**6 + 0*w**4 + 0 + 0*w**5. Determine t so that r(t) = 0.
-3, 0
Let z = 0 - 0. Factor z*h**2 - 5*h - 5*h + 5*h**2.
5*h*(h - 2)
Let x(a) = -12*a**3 + 33*a**2 - 33*a + 6. Let u(j) = -34*j + 7 - 91*j**3 + 33*j**2 + 79*j**3 - 2. Let s(y) = -3*u(y) + 4*x(y). What is l in s(l) = 0?
3/4, 1
Let y(r) be the first derivative of r**6/2 - 433*r**5 + 1559515*r**4/12 - 41296555*r**3/3 - 27878880*r**2 - 55990084*r/3 + 610. What is p in y(p) = 0?
-2/3, 241
Suppose -6*z - 247 = -265. Let v(r) be the first derivative of 0*r + 1/6*r**4 - 9 - 1/9*r**z - 1/15*r**5 + 0*r**2. Factor v(s).
-s**2*(s - 1)**2/3
Let j(w) = -915*w + 2748. Let b be j(3). Factor 11/6*q**b - 6*q - 1/3*q**4 + 2*q**2 - 1/6*q**5 + 0.
-q*(q - 2)**2*(q + 3)**2/6
Let c(t) be the first derivative of 4*t**3/3 + 2*t**2 - 48*t - 2. What is k in c(k) = 0?
-4, 3
Let u(q) be the first derivative of q**6/300 - q**5/75 + 4*q**2 + 3. Let g(i) be the second derivative of u(i). Determine m, given that g(m) = 0.
0, 2
Let a = -244/113 + 3100/1017. Factor -a + 2/9*g**3 + 8/9*g**2 - 2/9*g.
2*(g - 1)*(g + 1)*(g + 4)/9
Let z be (3 - 3*(-1)/(-6))*2. Solve -41 - 69*l - 158*l**2 - 35*l**z - 547*l**3 - 405*l**4 + 149*l**4 + 417*l - 31 = 0 for l.
-3, -2, 2/7, 2/5
Let y(u) = u**4 - u**3 - 2. Let o(q) = -25*q**4 + 10*q**3 + 40*q**2 + 90*q + 85. Let z(t) = o(t) + 20*y(t). Let z(x) = 0. Calculate x.
-3, -1, 3
Suppose -2*p + 13 = -2*a + 21, 0 = 4*a + 5*p + 20. Let -36/5*h - 28/5*h**3 - 12*h**2 + a - 4/5*h**4 = 0. What is h?
-3, -1, 0
Let t(s) be the first derivative of 2*s**3/33 - 9*s**2/11 - 20*s/11 + 524. Factor t(l).
2*(l - 10)*(l + 1)/11
Let k be (-2)/(-16) - 1014/(-208). Let -175*r**3 - k*r**5 + 369*r**2 + 27*r**4 - 124*r**2 - 92*r**4 = 0. What is r?
-7, 0, 1
Let 51/4*d + 6 + 3/2*d**2 = 0. What is d?
-8, -1/2
Let k(o) be the first derivative of o**6/24 + o**5/10 - 47*o**4/16 - 29*o**3/3 + 70*o**2 + 400*o + 129. Factor k(n).
(n - 5)**2*(n + 4)**3/4
Let q(o) be the second derivative of -o**9/5040 - o**8/140 - 8*o**7/105 + 29*o**4/12 + 33*o. Let n(x) be the third derivative of q(x). Factor n(b).
-3*b**2*(b + 8)**2
Factor -2/7*g + 2/7*g**3 + 4 - 4*g**2.
2*(g - 14)*(g - 1)*(g + 1)/7
Let v(u) be the first derivative of -u**3 + 417*u**2/2 - 414*u + 475. Factor v(s).
-3*(s - 138)*(s - 1)
Let -g**2 - 25*g - 22*g**2 - 12*g**4 - 4*g**2 - 46*g**3 + 3*g**5 - 33*g**2 - 4*g**5 = 0. What is g?
-5, -1, 0
Suppose -12*m + 15*m = -5*h + 15, 5 = -4*h + m. Factor -8/7*l**3 + 0*l + h + 2/7*l**4 + 8/7*l**2.
2*l**2*(l - 2)**2/7
Let k be 117/(-65)*(-30)/144. Let l(u) be the first derivative of 3/16*u**2 + 9 - k*u**3 + 0*u + 3/16*u**4. Factor l(o).
3*o*(o - 1)*(2*o - 1)/8
Let v be ((-1904)/(-96))/17 - (-5)/(-30)