0*h**3 - 270*h + 84 - 12*h**3 = 0.
3, 9
Solve -2*p**4 + 5*p**2 - 49*p**3 + 95*p**3 - 46*p - 47*p**2 + 44 = 0 for p.
-1, 1, 22
Let h = -2527/173442 + 4002321965/581551026. Let g = h - 5/479. Factor 44/7*j - g*j**2 - 20/7*j**3 + 24/7.
-4*(j - 1)*(j + 3)*(5*j + 2)/7
Let n = -115 + 125. Let f(h) = 3*h - 27. Let p be f(n). Determine u, given that -2*u**p + 304*u**5 - 4*u**4 + 4*u**2 + 0*u**4 - 302*u**5 = 0.
-1, 0, 1, 2
Let f be 40/8 + -7 + 42/20. Let p(x) be the first derivative of x**2 - 4/5*x - 8/15*x**3 + f*x**4 + 16. Let p(w) = 0. What is w?
1, 2
Let q be ((-8838)/4)/(-9) + -2. Let s = q + -239. Factor 9/2*r**3 + 0*r + 3/2*r**5 + 0 - s*r**4 - 3/2*r**2.
3*r**2*(r - 1)**3/2
Let o(u) be the third derivative of u**6/405 + 7*u**5/540 - u**4/54 + 64*u**3/3 + 3*u**2 - 11. Let m(r) be the first derivative of o(r). Factor m(f).
2*(f + 2)*(4*f - 1)/9
Let q(a) = a**2 + 143*a - 3075. Let k be q(19). Let r(b) be the third derivative of 1/60*b**5 - 42*b**2 + 0 - 7/6*b**k - 1/4*b**4 + 0*b. What is o in r(o) = 0?
-1, 7
Suppose n - 4*n - 95 = -2*s, 4*n + 20 = 0. Factor -s + 25*a + 27*a - 50*a + 2*a**2.
2*(a - 4)*(a + 5)
Let i(f) be the first derivative of -500*f**5/3 + 2675*f**4 + 40184*f**3/9 + 968*f**2 + 224*f/3 + 2887. Let i(t) = 0. What is t?
-1, -2/25, 14
Let y(x) be the third derivative of 275*x**8/84 - 28*x**7/3 + 73*x**6/15 + 76*x**5/15 - 5*x**4/6 - 4*x**3/3 - 1441*x**2. Find c such that y(c) = 0.
-1/5, 2/11, 1
Factor 4/7*a**2 - 6/7 - 1/7*a**3 - 1/7*a.
-(a - 3)*(a - 2)*(a + 1)/7
Let b be (-675)/21*((-1820)/(-12) + -6). Let d = b + 4693. What is w in 4/7*w**2 + 0 + 0*w + d*w**4 + 32/7*w**3 + 48/7*w**5 = 0?
-1, -1/3, -1/4, 0
Let j be (-46 - -43)/(6*4/(-15)*(-9)/(-24)). Let -14/15*l**4 - 8/15*l - 2*l**3 - 26/15*l**2 + 0 - 2/15*l**j = 0. What is l?
-4, -1, 0
Let t(q) be the third derivative of q**8/24192 + q**7/3024 + q**6/864 - q**5/20 - 3*q**4/8 + 30*q**2. Let o(d) be the third derivative of t(d). Factor o(l).
5*(l + 1)**2/6
Let i = -658 + 661. Factor i*z**2 - 202*z + 81*z + 97*z.
3*z*(z - 8)
Factor 24/7 + 16/7*l**2 - 38/7*l - 2/7*l**3.
-2*(l - 4)*(l - 3)*(l - 1)/7
Let s(u) be the first derivative of u**6/2 - 12*u**5/5 - 129*u**4/4 - 26*u**3 + 108*u**2 + 429. Determine i, given that s(i) = 0.
-4, -2, 0, 1, 9
Let k be 9*4/36*0. Let g(d) be the second derivative of 8*d + 0*d**2 + 1/12*d**4 + k + 1/6*d**3. Let g(c) = 0. Calculate c.
-1, 0
Let i(n) be the second derivative of n**7/42 - 11*n**6/24 + 2*n**5 - 79*n**2 - 3*n + 23. Let z(x) be the first derivative of i(x). Let z(b) = 0. What is b?
0, 3, 8
Let p(l) be the third derivative of -l**5/210 - 15*l**4/28 + 94*l**3/21 - 24*l**2. Factor p(v).
-2*(v - 2)*(v + 47)/7
Let x be 228/513*450/500*(-5)/(-6). Factor -12 + x*g**2 + 5/3*g.
(g - 4)*(g + 9)/3
Let n(t) be the first derivative of 2*t**5/85 - 4*t**4/17 - 42*t**3/17 - 2*t**2 + 208*t/17 + 189. Solve n(h) = 0 for h.
-4, -2, 1, 13
Let d(o) be the second derivative of o**6/60 - o**5/10 + 5*o**4/96 + 19*o**3/48 + 3*o**2/8 + 2313*o. Factor d(m).
(m - 3)*(m - 2)*(2*m + 1)**2/8
Let d(c) be the second derivative of c**7/120 + c**6/40 + c**5/60 + 2*c**3/3 - 9*c. Let o(x) be the second derivative of d(x). Factor o(b).
b*(b + 1)*(7*b + 2)
Suppose -w + l - 14 = -6*w, 11 = 4*w + l. Suppose 13 = 4*q - 5*s, -5*s = q - w*s. Factor 7*m**2 + 3 + 2 - 21*m + 2*m**q + 1.
3*(m - 2)*(3*m - 1)
Let n(b) = -b**3 + 4*b**2 - 10*b + 30. Let d be n(3). Suppose 8*w + 0 + d - 3 + 2 + 4*w**2 - 2*w**2 = 0. What is w?
-2
Let p = -2270 + 2273. Suppose -2*l = -l - 2. Factor -l*n**p + 0*n**3 + n**3.
-n**3
Let i(l) be the second derivative of 1 - 13/150*l**5 + 0*l**2 + 1/75*l**6 + 0*l**3 + 2/45*l**4 - 13*l. Factor i(d).
2*d**2*(d - 4)*(3*d - 1)/15
Let b be (-9)/(189/6)*-14 - -466. Let k = b - 470. Factor 2/3*d**3 + 0*d + k + 2/3*d**2.
2*d**2*(d + 1)/3
Let k be 3/(-4)*(-11 + 3 - -4). Let h(o) be the second derivative of -1/2*o**5 + 5/12*o**4 + 0 + 5/3*o**k - 5/2*o**2 - 9*o. Factor h(t).
-5*(t - 1)*(t + 1)*(2*t - 1)
Let d(w) be the second derivative of -3*w**7/28 - 97*w**6/60 - 71*w**5/10 - 37*w**4/6 + 4*w**3 + 1301*w. Let d(f) = 0. What is f?
-6, -4, -1, 0, 2/9
Let g(l) = -15*l**2 - 11*l - 11. Let v(b) = -3 - 8*b**2 - 6*b + 0*b - 3. Let p(w) = 4*w**2 - 40*w + 73. Let j be p(7). Let t(c) = j*v(c) + 6*g(c). Factor t(k).
-2*k**2
Let p = -258 - -270. Let q be (0 - 1)/((-4)/p). Factor -6/7*v**2 + q*v - 9/7.
-3*(v - 3)*(2*v - 1)/7
Let n be (-144)/54 + 6 + (-4)/(-6). Let l(k) be the first derivative of 4*k - 1/6*k**6 - 7/4*k**n + 4*k**2 + 1/3*k**3 + 43 - k**5. Let l(d) = 0. Calculate d.
-2, -1, 1
Let b(u) be the second derivative of 2*u**3/3 - 17*u**2 - 54*u - 2. Let r be b(9). What is w in -3/2*w**r - 9*w - 15/2 = 0?
-5, -1
Let b(n) = -n**2 - 418*n - 3678. Let o be b(-9). Determine d, given that -250 + 300*d + 5/2*d**o - 105/2*d**2 = 0.
1, 10
Let d be (-2745)/(-122) - 6*(-2)/(-4). Let f be 6 + -4 - (-68)/8. Factor -d*n + 3 - f*n**2.
-3*(n + 2)*(7*n - 1)/2
Let f(s) be the second derivative of 3*s**5/20 - 5*s**4/3 + 9*s**3/2 - 5*s**2 - 76*s - 1. Factor f(u).
(u - 5)*(u - 1)*(3*u - 2)
Let p(f) be the first derivative of 2/21*f**3 - 2/35*f**5 - 68 + 0*f**4 + 1/42*f**6 - 1/14*f**2 + 0*f. Solve p(s) = 0.
-1, 0, 1
Suppose 96 + 5*d - 76*d**2 + 48*d**5 + 83*d - 97*d**5 + 15*d**3 + 28*d**4 - 51*d**3 + 45*d**5 = 0. What is d?
-1, 2, 3, 4
Determine s so that -15*s**4 - 8833*s**2 + s - 6*s + 5*s**3 - 20 + 8868*s**2 = 0.
-1, 1, 4/3
Let b(q) be the third derivative of 2*q**7/105 + 13*q**6/30 - 16*q**5/5 - 430*q**4/3 - 1600*q**3/3 - 3989*q**2. Factor b(h).
4*(h - 8)*(h + 1)*(h + 10)**2
Let u be 1/(-4)*12/(-24). Let x = 4103/8194 + -3/4097. Solve -u*n**2 + 1/2*n - x = 0 for n.
2
Suppose 2*c + 5*x - 1426 = 0, 3*c - 4*x = 3268 - 1152. What is a in -5*a**5 - 45*a**2 - 7*a**3 - 708 - 8*a**3 + c + 25*a**4 = 0?
-1, 0, 3
Let z(t) = t**3 + 54*t**2 - 54*t + 53. Let n be z(-55). Let g be ((-16)/2)/n - (-590)/(-177). Find w, given that 5/3*w + 2 - g*w**2 - 1/3*w**3 = 0.
-3, -1, 2
Let p(s) be the third derivative of 3*s**6/80 - 1139*s**5/20 + 26980*s**4 + 72200*s**3 - 7*s**2 - 4*s - 5. Suppose p(b) = 0. Calculate b.
-2/3, 380
Suppose 9 = 3*z + t, -2*z + 16*t + 17 = 13*t. Suppose -z*l + 2*p + 96 = 0, 0 = -4*p + p. What is j in 141/2*j**3 + 57/2*j - 3 + 12*j**4 - l*j**5 - 84*j**2 = 0?
-2, 1/4, 1
What is a in a**3 - 1/5*a**5 + 1/5*a**4 + 4/5 - a**2 - 4/5*a = 0?
-2, -1, 1, 2
Let i(o) = 2*o**2 + 38*o + 162. Let b(k) = -129 - 4*k**2 - 70 - 125 - 77*k. Let u(s) = 82*s + 80. Let w be u(-1). Let v(x) = w*b(x) - 5*i(x). Factor v(h).
-2*(h + 9)**2
Find t, given that 6336*t**3 - 2*t**2 + 2*t**2 - 6339*t**3 + 243*t = 0.
-9, 0, 9
Let s = -366 - -372. Let r be 285/228*s/5. Let r - 7/4*j**3 + 17/4*j - 4*j**2 = 0. Calculate j.
-3, -2/7, 1
Let o = 246415 + -246413. Suppose -8/3*s**o + 0 - 28/9*s + 4/9*s**3 = 0. Calculate s.
-1, 0, 7
Solve 23*w - 31/5*w**3 - 96/5*w**2 + 12/5 = 0 for w.
-4, -3/31, 1
Suppose 5*b + 6*b = 1425072 - 1425050. Determine z, given that -6/5*z + 0*z**3 + 9/5*z**b + 0 - 3/5*z**4 = 0.
-2, 0, 1
Let r(i) be the third derivative of 0*i - 1/240*i**5 + 0 - 1/4*i**3 - 176*i**2 + 7/96*i**4. Factor r(d).
-(d - 6)*(d - 1)/4
Let i(k) = k**3 - 6*k**2 + 8*k - 17. Let j be i(6). Suppose -11 + j = 10*o. Factor 4*t**o - 56 + 48 - 3*t - 5*t + 4*t.
4*(t - 2)*(t + 1)
Let x(n) be the first derivative of 0*n + 163 - 1/12*n**4 + 17/3*n**2 - 11/3*n**3. Factor x(i).
-i*(i - 1)*(i + 34)/3
Factor -321/8*a**2 - 663/8*a + 981/8 + 3/8*a**3.
3*(a - 109)*(a - 1)*(a + 3)/8
Let s(z) be the first derivative of -z**4/4 + 116*z**3 + 1785. Determine w, given that s(w) = 0.
0, 348
Factor -25/2*t**3 + 167*t**2 + 0 - 280*t - 1/2*t**4.
-t*(t - 8)*(t - 2)*(t + 35)/2
Let b = 48525/113078 + -9/16154. Find j, given that 18/7*j + 0 - 3/7*j**3 - b*j**2 = 0.
-3, 0, 2
Let n(v) = -1729*v - 169437. Let b be n(-98). Solve -b*i**2 + 1/2*i**3 + 14*i - 12 = 0 for i.
2, 6
Let -228 - 892*f**2 + 160*f**4 + 432*f**3 - 224*f**4 - 7*f**5 + 754*f + 5*f**5 = 0. What is f?
-38, 1, 3
Let b(k) be the first derivative of -k**3/3 - 271*k**2 + 6689. Determine s so that b(s) = 0.
-542, 0
Let n be 56 + 2 + 2 + 4. Factor 6 + n*k - k**2 - 109*k + 4*k**2 + 56*k.
(k + 3)*(3*k + 2)
Let h(s) be the first derivative of -25*s**4/4 - 1735*s**3/3 - 2020*s**2 - 1340*s + 3988. Suppose h(v) = 0. What is v?