21*s. Let w(z) be the third derivative of k(z). Factor w(l).
2*l*(l - 1)*(4*l - 1)/3
Let b(d) be the third derivative of -1/28*d**4 + 1/490*d**7 - 1/140*d**5 + 57*d**2 + 0 + 0*d**3 + 1/140*d**6 + 0*d. Suppose b(i) = 0. Calculate i.
-2, -1, 0, 1
Let q(c) be the first derivative of -c**3/12 + 141*c**2/2 + 283*c - 8388. Factor q(w).
-(w - 566)*(w + 2)/4
Let g = -1078828 - -8630625/8. Factor g*a**2 + 81/8 + 9/4*a.
(a + 9)**2/8
Let n(g) be the second derivative of -g**6/15 - 19*g**5/2 + 269*g**4/2 - 1741*g**3/3 + 1030*g**2 + 2053*g. Let n(v) = 0. What is v?
-103, 1, 2, 5
Suppose 6*f - 33*f - 32*f = 26*f. Find s such that -8/7*s**2 + 4/7*s + 8/7*s**4 + 0 + f*s**3 - 4/7*s**5 = 0.
-1, 0, 1
Let r(u) be the third derivative of 343/15*u**3 - u**2 + 63/50*u**5 + 30 - 9/100*u**6 + 0*u - 147/20*u**4. Find h, given that r(h) = 0.
7/3
Let v(n) = -n**2 + n + 1. Let c(q) = q**3 + 4*q**2 - 6*q - 4. Suppose -3*j + 4 = -2*z + 8, 8 = -5*z + 3*j. Let y(a) = z*c(a) - 20*v(a). Solve y(w) = 0 for w.
-1, 1
Let k(q) be the third derivative of -q**5/330 + 47*q**4/132 - 46*q**3/33 - 1473*q**2. Suppose k(h) = 0. What is h?
1, 46
Let h(z) be the first derivative of -z**4/4 - 3*z**3 + 49*z**2/2 - 39*z - 1292. Factor h(r).
-(r - 3)*(r - 1)*(r + 13)
Suppose 938*u + 258630 = 261444. Factor 1386/17*j**2 + 72/17 - 162/17*j**u + 640/17*j.
-2*(j - 9)*(9*j + 2)**2/17
Suppose 46*f - 19 = 43*f - 2*n, -5*n + 13 = -4*f. Suppose 0 = -s - 5*j + f, 5*j + 15 = 5*s + j. Factor -3/10*t**s - 7/10*t**2 - 1/2*t - 1/10.
-(t + 1)**2*(3*t + 1)/10
Let f be 2*3/(-18) - 355/15. Let l = f + 24. Determine n, given that 0*n - n - 2*n + 3*n**2 + l*n - 18 = 0.
-2, 3
Suppose -2*q + 13 = 3*d, d + 16 - 11 = 4*q. Determine o, given that 19/8*o**2 + 0 - 9/4*o - 1/8*o**d = 0.
0, 1, 18
Let a(l) be the first derivative of l**6/30 + l**5/15 - 7*l**2 - 2*l + 1. Let p(y) be the second derivative of a(y). Factor p(w).
4*w**2*(w + 1)
Let q(x) be the second derivative of -x**5/50 + 163*x**4/2 - 132845*x**3 + 108268675*x**2 + 56*x + 1. Factor q(m).
-2*(m - 815)**3/5
Suppose -3*l + 548 = -o + 547, -3*l + 2*o - 4 = 0. Let n(u) be the second derivative of -1/6*u**4 + 3*u - 2*u**3 + 0 + 0*u**l. Factor n(k).
-2*k*(k + 6)
Let o(w) be the third derivative of -1/540*w**6 + 1/27*w**3 + 1/90*w**5 + 84*w**2 - 1/36*w**4 + 0 + 0*w. Find j, given that o(j) = 0.
1
Suppose -4112*y + 1689 = -193 - 6342. Factor -636056/3 - 1/3*s**3 - 86*s**y - 7396*s.
-(s + 86)**3/3
Let y(h) be the first derivative of 3*h**4/16 + 15*h**3 + 171*h**2/2 + 168*h - 1602. Factor y(u).
3*(u + 2)**2*(u + 56)/4
Solve -304 - 52/3*z + 2/3*z**2 = 0.
-12, 38
Find o such that 2905*o**2 + 176*o + 65*o + 262*o - 216*o**5 + 2124*o**4 + 3867*o**3 + 58*o + 36 + 1503*o**3 = 0.
-3/2, -1/3, -1/6, 12
Let p(v) = -5*v - 41. Let l be p(-9). Let z be 1 + (3 + 1)/l. Factor -4*c**z + 127 + 9*c + 2*c - c**3 - 133.
-(c - 1)**2*(c + 6)
Let p = -582 + 579. Let t be 9/(-243)*3*p. Determine r so that 1/3*r**2 + 0 - t*r = 0.
0, 1
Let f(x) be the second derivative of x**4/6 - 3*x**3 - 10*x**2 - 7*x + 111. Solve f(q) = 0.
-1, 10
Suppose -3*t + 1 = 2*o, 55*o + 2 = 2*t + 56*o. Let r(b) be the third derivative of 0 + 0*b + 1/39*b**4 + 0*b**t + 7*b**2 - 2/195*b**5 + 1/780*b**6. Factor r(q).
2*q*(q - 2)**2/13
Let d(z) be the second derivative of -3*z**7/14 - 29*z**6/5 - 303*z**5/5 - 286*z**4 - 384*z**3 + 1728*z**2 + 122*z. Find i such that d(i) = 0.
-6, -4, 2/3
Let b(n) be the second derivative of 0*n**2 - 183*n + 5/42*n**7 + 0*n**4 + n**6 + 0 - 7/4*n**5 + 0*n**3. Factor b(k).
5*k**3*(k - 1)*(k + 7)
Let b(p) be the first derivative of p**6/1440 + p**5/160 - 3*p**4/16 - 152*p**3/3 + 64. Let a(l) be the third derivative of b(l). Suppose a(r) = 0. Calculate r.
-6, 3
Let t be ((-3)/6)/((-6)/(-156)). Let o be t/(-20) + (387/36 - 11). Factor -o*p**2 + 4*p - 10.
-2*(p - 5)**2/5
Let a be (-44 + 14)*5/((-50)/(-32)). Let g = a - -99. Solve 24*f**g - 22*f**3 + 13*f**5 - 11*f**5 - 4*f**4 = 0 for f.
0, 1
Let p(o) be the first derivative of o**6/2160 - o**5/180 - o**4/12 - o**3/3 + 7*o - 74. Let b(v) be the third derivative of p(v). Let b(w) = 0. Calculate w.
-2, 6
Let z(x) be the second derivative of -x**5/10 + 17*x**4 - 67*x**3 + 100*x**2 + 4*x - 109. What is v in z(v) = 0?
1, 100
Let c(i) be the third derivative of i**8/168 + 37*i**7/525 - 13*i**6/25 - 134*i**5/75 - 4*i**4/3 - 12*i**2 + 12*i. Solve c(k) = 0.
-10, -1, -2/5, 0, 4
Suppose -z + n + 28 = -3*n, -2*z - 3*n = -1. Solve 4*l**4 + l**5 - z*l**2 - 29 - l**3 + 2*l**3 - 6*l**2 + 21 - 20*l = 0.
-2, -1, 2
Let z(p) be the third derivative of p**6/720 - 101*p**5/360 + 25*p**4/36 - 1698*p**2. Suppose z(d) = 0. What is d?
0, 1, 100
What is u in 6*u**2 - 2/3*u**4 + 0 + 28/3*u**3 - 84*u = 0?
-3, 0, 3, 14
Let a(q) = 11*q**2 + 84*q - 427. Let w(p) = -15*p**2 - 126*p + 641. Let r(c) = -7*a(c) - 5*w(c). Factor r(t).
-2*(t - 12)*(t - 9)
Let k(h) be the second derivative of -h**5/80 + 7*h**4/16 + 9*h**2 + 79*h - 1. Let i(s) be the first derivative of k(s). Let i(m) = 0. Calculate m.
0, 14
Factor -134*a**2 - 286*a**2 + 2020 + 66*a**3 - 1596*a - 70*a**3.
-4*(a - 1)*(a + 5)*(a + 101)
Let d(z) be the first derivative of 3*z**5/5 + 15*z**4/4 + 3*z**3 - 15*z**2/2 - 12*z - 4177. Factor d(f).
3*(f - 1)*(f + 1)**2*(f + 4)
Let v be 32/15 - (-12 - (-1638)/135). Factor -939 + 227 + v*b**2 - 86*b - 988 - 149 - 3*b**2.
-(b + 43)**2
Factor -476/5 + 1426/5*k + 6/5*k**2.
2*(k + 238)*(3*k - 1)/5
Let j be 6/4 + (-19)/(-38). What is g in j*g + 9*g**2 - 73 + g + 3*g**3 + 64 - 6*g**3 = 0?
-1, 1, 3
Let u(s) = -2*s**2 + 1 + 7 + 5*s + s**2. Let j be u(4). Factor j*o + 10 + 4*o**2 + 0*o**2 - 2*o**2.
2*(o + 1)*(o + 5)
Let j(s) be the third derivative of 0*s - 1/150*s**5 + 4/5*s**3 + 2 - 7*s**2 + 1/15*s**4. Solve j(g) = 0.
-2, 6
Suppose -14*v + 9 = -11*v. Let r be -1 + 3 + (4 + -1)/v. Factor -3*n**4 - n**3 + n**r - 18*n**2 + 10*n**3 + 2*n**3 - 3 + 12*n.
-3*(n - 1)**4
Factor 39/4*p + 1/4*p**2 + 92.
(p + 16)*(p + 23)/4
Factor -2/7*o**2 + 1088/7*o - 147968/7.
-2*(o - 272)**2/7
Let n(v) be the third derivative of -20*v - 169/33*v**3 + 5/66*v**5 - 3*v**2 + 0 - 13/12*v**4 - 1/660*v**6. Factor n(o).
-2*(o - 13)**2*(o + 1)/11
Let m(k) be the second derivative of 0*k**2 + 49*k - 1/42*k**4 - 1/21*k**3 + 0. Factor m(q).
-2*q*(q + 1)/7
Let r(l) be the first derivative of -l**7/350 - 7*l**6/100 - 49*l**5/100 - 26*l**2 - l - 67. Let o(t) be the second derivative of r(t). Factor o(v).
-3*v**2*(v + 7)**2/5
Let c(l) be the second derivative of l**9/5040 - l**8/560 - l**7/840 + l**6/60 - 169*l**4/12 - 157*l. Let u(f) be the third derivative of c(f). Factor u(j).
3*j*(j - 4)*(j - 1)*(j + 1)
Let h(k) = 13*k**2 - 38*k - 192. Suppose 45*m = 74*m + 203. Let t(x) = -9*x**2 + 26*x + 128. Let s(a) = m*t(a) - 5*h(a). Solve s(n) = 0 for n.
-4, 8
Let g(s) be the second derivative of s**8/14560 + s**7/8190 - s**6/4680 - s**4/12 + 3*s**3/2 - 71*s. Let n(p) be the third derivative of g(p). Factor n(w).
2*w*(w + 1)*(3*w - 1)/13
Let o(w) be the first derivative of -1/6*w**4 + 0*w**3 + 0*w - 54 + 0*w**2 + 1/18*w**6 + 1/15*w**5. Factor o(f).
f**3*(f - 1)*(f + 2)/3
Let s(u) be the second derivative of -57*u + 1/12*u**4 - 1/90*u**6 + u**2 + 0 - 1/20*u**5 + 11/18*u**3. Let s(w) = 0. What is w?
-3, -1, 2
Factor -24*y**2 + 12*y - 2*y**3 - 60 + 29*y + 45*y.
-2*(y - 2)*(y - 1)*(y + 15)
Let b = 4514404408/17311215075 + 2/44964195. Let z = b + 18/175. Suppose z*n - 2/11*n**2 + 16/11 = 0. Calculate n.
-2, 4
Let o be (-30)/54 + (-208)/(-234). Let y(k) be the third derivative of -o*k**5 + 8/3*k**3 - 6*k**2 + 0*k + 0 + 4/3*k**4. Determine n so that y(n) = 0.
-2/5, 2
Let d(h) be the third derivative of 8*h**2 - 13/30*h**5 + 0*h**3 - 1/3*h**6 - 4*h + 0 - 3/35*h**7 - 1/6*h**4. Find o such that d(o) = 0.
-1, -2/9, 0
Let c = 165 - -89. Let x = -761/3 + c. Suppose -1/3*v**3 + x*v**2 - 4/3 + 4/3*v = 0. Calculate v.
-2, 1, 2
Factor 914*x**2 - 2724*x**2 + 907*x**2 - 3570 + 908*x**2 - 1775*x.
5*(x - 357)*(x + 2)
Let k(r) = 2*r. Let u(z) = -3*z**2 - z - 44 + 10 + 2*z**2 + 16. Let p(f) = 6*k(f) + u(f). Factor p(g).
-(g - 9)*(g - 2)
Suppose 4*r + 4*o - 20 = 0, 4*o - o - 21 = -4*r. Let n be (-4)/r*12/(-32). Factor -n*v**3 - 1/4*v + 0 - 1/2*v**2.
-v*(v + 1)**2/4
Let o(q) be the third derivative of 2*q**2 + 0*q**3 - 1/16*q**4 - 1/280*q**7 - 37 + 0*q + 1/80