5 = 0. What is a?
-1/3, 0, 1, 3
Determine n so that 13/4*n**2 - 9/4*n**3 + 1/4*n**4 - 7/2 + 9/4*n = 0.
-1, 1, 2, 7
Let x = -377576 - -377578. Factor 25/4*h + 5/4*h**3 - 15/2*h**x + 0.
5*h*(h - 5)*(h - 1)/4
Let k(a) be the first derivative of 1/8*a**3 - 6*a**2 - 69 + 0*a. Factor k(q).
3*q*(q - 32)/8
Let x(c) = c**5 + 5*c**4 - 35*c**3 - 16*c**2 + 115*c - 61. Let i(t) = -t**5 - t**4 + 3*t**3 + t + 1. Let k(z) = 3*i(z) - x(z). Determine q so that k(q) = 0.
-4, -2, 1, 2
Find h, given that 3/4*h**3 + 3726*h + 381/4*h**2 + 41553 = 0.
-54, -19
Let z(l) be the second derivative of 1/60*l**6 - 8*l + 7/20*l**5 + 0*l**2 - 4/3*l**4 + 3 + 0*l**3. Solve z(c) = 0 for c.
-16, 0, 2
Let x = -835615/4 + 209926. Let i = 1026 - x. Suppose -i*u**3 + 0 + 3*u + 3/4*u**5 - 9/4*u**4 + 9/4*u**2 = 0. Calculate u.
-1, 0, 1, 4
Find b such that 2*b**3 + 875 + 3977*b - 5*b**3 + 11669 + 2*b**3 - 16297*b - 223*b**2 = 0.
-112, 1
Let h be 5 - (-119 - (-1 + -7)). Factor -3*c**3 - h*c + 7687*c**2 - 7727*c**2 - 80 - c**3.
-4*(c + 1)*(c + 4)*(c + 5)
Factor -673*o + 9*o**3 - 288*o**2 + 4*o**4 - 9*o**4 + o**4 - 335*o + 91*o**3.
-4*o*(o - 21)*(o - 6)*(o + 2)
Let v(a) be the third derivative of -a**5/20 - 79*a**4/4 - 6241*a**3/2 + 2*a**2 + 1100*a. Suppose v(o) = 0. Calculate o.
-79
Let j(r) be the second derivative of -r**7/1260 + r**5/60 + 79*r**4/12 + 47*r. Let b(u) be the third derivative of j(u). Factor b(o).
-2*(o - 1)*(o + 1)
Let g be (-2)/(-10 + 2) - (-2964)/304. Suppose -z**2 + g + 1293*z - 25 - 9 - 1282*z = 0. What is z?
3, 8
Let p = 1840 - 1837. Let r(w) be the first derivative of 0*w**p + 11 - 1/2*w**4 + 0*w + w**2. Suppose r(c) = 0. What is c?
-1, 0, 1
Let w be (55/((-5005)/(-28)))/((18/(-13))/(-3)). Let d(z) be the first derivative of -20*z**2 + 200*z + w*z**3 + 2. Factor d(b).
2*(b - 10)**2
Solve 2/11*m**5 + 2320*m**3 + 1856/11*m + 80728/11*m**2 - 107648/11 - 458/11*m**4 = 0.
-2, 1, 116
Factor 826281/4*m + 2727/4*m**2 + 83454381/4 + 3/4*m**3.
3*(m + 303)**3/4
Let m(s) = -8*s**2 - 3*s - 1. Let y = 70 + -73. Suppose 3*v - 5 = -17. Let c(h) = -h**3 + 8*h**2 + 3*h + 2. Let d(x) = v*m(x) + y*c(x). Factor d(z).
(z + 1)*(z + 2)*(3*z - 1)
Let a = -2/903 + 911/3612. Let z(c) be the third derivative of 0 + 5/42*c**7 + 15*c**2 + 0*c**3 - 5/336*c**8 - 7/24*c**6 + 0*c + a*c**5 + 0*c**4. Factor z(g).
-5*g**2*(g - 3)*(g - 1)**2
Let r(j) = 7*j**3 - 12*j**2 + 18*j + 10. Let s(d) = 200*d - d**3 + 1 - 1 + d**2 - 201*d - 3. Let a(x) = r(x) + 6*s(x). Factor a(g).
(g - 2)**3
Let b(n) be the second derivative of n**4/30 - 1157*n**3/15 - 2318*n**2/5 - 271*n. Let b(r) = 0. Calculate r.
-2, 1159
Let p be (-3)/((-3)/2) - 42/6. Let t be ((-200)/(-12))/p*72/(-15). Factor -t*h - h**5 + 6 + 9*h**4 - 2*h**4 - 19*h**3 - 5 + 25*h**2 + 3.
-(h - 2)**2*(h - 1)**3
Let u = 3400 - 974. Let q = 26714/11 - u. What is i in -16/11*i**3 + 10/11*i - q*i**2 + 16/11*i**4 + 6/11*i**5 + 12/11 = 0?
-3, -1, -2/3, 1
Let u be 1 + 6/(10 + -12 + -5). Let v(f) be the second derivative of -29*f + 0 + 2/7*f**3 - 2/7*f**2 - u*f**4 + 1/35*f**5. Suppose v(l) = 0. What is l?
1
Let i be (446/3791)/((-1)/(-17)). Let c(w) be the second derivative of 1/14*w**i - 1/84*w**4 + 1/140*w**5 + 0 - 1/42*w**3 + 3*w. Factor c(b).
(b - 1)**2*(b + 1)/7
Let -6984*g**2 + 13281*g**3 - 14125605*g**4 - 1 + 60*g**5 + 996*g + 1 + 14120466*g**4 = 0. Calculate g.
0, 1/4, 2/5, 2, 83
Let u(w) = -3*w**2 + 8*w - 1. Let m(q) = -10*q**2 + 25*q - 1. Let n be 3 + (-8 - 45/5). Let v(g) = n*u(g) + 4*m(g). Solve v(k) = 0 for k.
1, 5
Suppose -148*p - 3*p**2 - 435 + 9*p**2 + 87*p - p**2 - 369*p = 0. What is p?
-1, 87
Suppose 2*z - 75 = -5*u, -3*z + 121156*u - 121163*u + 105 = 0. Factor z + 2/3*n + 1/3*n**2 - n**3.
-n*(n - 1)*(3*n + 2)/3
Let z(g) be the first derivative of 2*g**3/21 - 19*g**2/7 - 184*g/7 - 253. Factor z(s).
2*(s - 23)*(s + 4)/7
Let c = 263678 + -1318382/5. Factor 18/5 - 21/5*k - 1/5*k**3 + c*k**2.
-(k - 3)**2*(k - 2)/5
Let o(l) be the first derivative of l**3/15 - 13*l**2/5 + 32*l - 494. Factor o(n).
(n - 16)*(n - 10)/5
Let m = 567 - 557. Let s be 11/((-275)/(-10))*m/18. Factor 2/3*y - 4/9 - s*y**2.
-2*(y - 2)*(y - 1)/9
Let l(b) be the first derivative of b**3/6 - 673*b**2/4 + 336*b + 817. Factor l(i).
(i - 672)*(i - 1)/2
Suppose 15 = 5*j - 0*j + 5*y, 3*j - 25 = 5*y. What is f in 2*f - 3*f + 8*f**4 - 15*f**2 + 20 - 12*f**4 + 5*f**4 + j*f + 2*f**3 = 0?
-5, -1, 2
Let f(t) = t - 7. Let d be f(9). Let s be (27/(-6))/(3*d/(-8)). Factor -2*r**2 + 20*r**2 + 231*r**4 - s*r**2 - 96*r**3 - 147*r**5.
-3*r**2*(r - 1)*(7*r - 2)**2
Let v(f) be the first derivative of -7/2*f**4 - 7 + 1/5*f**5 + 68/3*f**3 + 75*f - 65*f**2. Let v(m) = 0. What is m?
1, 3, 5
Let q = 20053 - 140348/7. Find t such that -q*t - 27/7*t**3 + 2/7 - 52/7*t**2 = 0.
-1, 2/27
Let t(q) be the second derivative of q**4/12 - 57*q**3/2 + 169*q**2 + 2036*q + 2. What is d in t(d) = 0?
2, 169
Let n(u) = -4*u**4 - 16*u**3 - 22*u**2 + 42*u - 2. Let k(y) = -y**4 + 381 - 766 + 384 + y**3. Let l(z) = 2*k(z) - n(z). Suppose l(a) = 0. What is a?
-7, -3, 0, 1
Let k be 43 - (1/4 - 1500/(-80)). Factor -k*a - 20 - 1/5*a**3 - 21/5*a**2.
-(a + 1)*(a + 10)**2/5
Let i(o) = o**2 + 29 - 8 - 4 - 9*o. Let q be i(7). Suppose 3/8*a**q + 9/8*a**2 - 27/8*a + 15/8 = 0. Calculate a.
-5, 1
Factor 1474560*i + 8399*i**3 - 502620 + 2*i**5 + 17321*i**3 + 296*i**4 + 94*i**4 - 1594532 + 596480*i**2.
2*(i - 1)*(i + 4)*(i + 64)**3
Let g(w) = -4*w**3 + w + 1. Let j(h) = -6*h**3 + 55*h**2 - 36*h - 396. Let f(l) = -4*g(l) + j(l). Determine o, given that f(o) = 0.
-4, 5/2
Let q be (-21 + (-2038)/(-98))/((-72)/21 + 3). Let c(a) be the second derivative of 0 + 0*a**2 - q*a**3 - 29*a + 1/21*a**4. Find u such that c(u) = 0.
0, 5
Suppose -27*o + 26*o + 3 = 0. Let -15 - 16*f**2 - 33 + 170*f - 99*f**2 - 20*f**o + 13 = 0. What is f?
-7, 1/4, 1
Let y(r) be the third derivative of -r**5/60 + 161*r**4/12 - 25921*r**3/6 + 403*r**2. Solve y(g) = 0.
161
Solve -69/2*w + 1/2*w**3 - 7/2*w**2 - 117/2 = 0 for w.
-3, 13
Let z = 2611 + -2603. Let r(c) be the first derivative of 5*c**2 - 8/3*c**3 + z - 4*c + 1/2*c**4. Factor r(t).
2*(t - 2)*(t - 1)**2
Let w(r) = 2*r**5 - 56*r**4 - 34*r**3 + 8*r + 8. Let g(h) = -3*h**5 + 75*h**4 + 45*h**3 - 11*h - 11. Let t(u) = -8*g(u) - 11*w(u). Let t(o) = 0. Calculate o.
-7, -1, 0
Let h(o) = -3*o**2 - 3*o + 1. Let q(v) = 8*v**2 - 1076*v + 1078. Let l(g) = 4*h(g) + 2*q(g). Let l(j) = 0. Calculate j.
1, 540
Let k be ((-136)/10 - (10 - (-308)/(-14))) + (9 - 1). Factor -18/5*p**3 - 2*p + k*p**2 - 4/5.
-2*(p - 1)**2*(9*p + 2)/5
Suppose -n - 5*u - 13 = 0, -5*n + u + 7 = -6. Let d be -29 + ((-10388)/(-280) - 8). Let 3/10*y**3 + d*y**4 - 1/5 + 1/10*y**n - 3/10*y = 0. Calculate y.
-2, -1, 1
Let u be ((-288)/60)/4*10/(-2). Suppose -2*g = 3*f - 23, 6*f - 33 = 3*f + 3*g. Let 733 - 733 - 3*t**4 - f*t**3 - u*t**2 = 0. Calculate t.
-2, -1, 0
Let i be 7 + 0 + 7 + -8. Factor k**3 - i*k**2 + 0*k**3 - 31*k**4 + 0*k**2 + 64*k**4 - 32*k**4.
k**2*(k - 2)*(k + 3)
Let q(j) be the second derivative of -1/3*j**4 - 10*j**2 + j + 0 - 1/20*j**5 + 1/2*j**3. Let t(g) be the first derivative of q(g). Factor t(r).
-(r + 3)*(3*r - 1)
Let -4*d**3 + 16018*d - 15960*d - 15*d**2 - 24 + 5*d**4 - 13*d**2 - 7*d**2 = 0. Calculate d.
-3, 4/5, 1, 2
Let i = 3542 + -2662. Let d(g) be the first derivative of i*g**3 + 378*g**5 - 135/2*g**6 - 520*g**2 + 13 - 810*g**4 + 160*g. Let d(c) = 0. Calculate c.
2/3, 2
Let k(d) be the third derivative of -d**6/72 + 5*d**5/24 + 5*d**4/4 - 19*d**3 - d**2 - 9*d. Let u(r) be the first derivative of k(r). Factor u(s).
-5*(s - 6)*(s + 1)
Factor -12*o**3 - 152 - 1292*o - 741211*o**2 + 56 + 93*o**3 - 48 + 738331*o**2.
(o - 36)*(9*o + 2)**2
Suppose -522*l = 522*l - 1133*l. Let -24/7*c**4 - 8/7*c**3 + l*c + 0*c**2 - 10/7*c**5 + 0 = 0. What is c?
-2, -2/5, 0
What is t in -22169*t + 545*t**4 - 8316*t**3 + 2096*t**3 + 7360 + 2708*t**2 + 249*t + 15*t**5 + 17512*t**2 = 0?
-46, 2/3, 1, 4
Solve 76 - 78*a**3 + 2*a**4 - 28*a**3 - 64*a**3 + 120*a**3 + 314*a + 108 + 78*a**2 = 0 for a.
-1, 4, 23
Find g such that 2/17*g**4 + 4/17*g**3 + 0 - 10/17*g**2 - 12/17*g = 0.
-3, -1, 0, 2
Let p = 47253/80 + -2953/5. Let h(d) be the first derivative of -1/20*d**5 + 0*d**2 + 1/12*d**3 + 0*d - p*d**4 - 27 + 1/24*d**6. Determine j so that h(j) = 0.
-1, 0, 1
Let h = -13/927