e the first derivative of 4*s**5/5 + 3*s**4 + 8*s**3/3 - 1151. Let k(r) = 0. What is r?
-2, -1, 0
Let z(v) be the third derivative of 1/240*v**6 + 1/2*v**3 + v**2 - 1/48*v**4 - 7/120*v**5 + 0*v - 8 + 1/420*v**7. Let z(p) = 0. Calculate p.
-3, -1, 1, 2
Solve 1/2 - 3/4*m + 1/4*m**3 + 0*m**2 = 0.
-2, 1
Suppose -22/3*o**4 + 106/3*o**3 - 8*o**2 - 184/3*o - 32/3 = 0. What is o?
-1, -2/11, 2, 4
Let j(s) = 7*s + 70. Let w be j(-8). Solve -5 + w*x**2 - 6 - 10*x - 13*x**2 + 3*x**3 + 3 = 0.
-4/3, -1, 2
Let a(x) be the first derivative of -x**6/2 + 78*x**5/5 - 639*x**4/4 + 460*x**3 + 1050*x**2 - 3316. Find i such that a(i) = 0.
-1, 0, 7, 10
Let n(k) be the second derivative of -3*k**5/20 + 15*k**4/4 + 59*k**3 + 252*k**2 - 743*k - 3. Solve n(g) = 0 for g.
-4, -2, 21
Let i = -1605455/36 - -181279/4. Let v = 724 - i. Factor -8/9*o**2 - 4/9 + 10/9*o + v*o**3.
2*(o - 2)*(o - 1)**2/9
Let j(v) be the first derivative of -v**4/60 - 4*v**3/15 - 7*v**2/10 + 52*v + 40. Let q(l) be the first derivative of j(l). Factor q(n).
-(n + 1)*(n + 7)/5
Let t be 6458/184053*(0 + 95). Let l be (-26)/(-6) - (-4)/(-12). Factor l - t*q - 2/3*q**2.
-2*(q - 1)*(q + 6)/3
Suppose -4*b + 3*b - 2 = 0, 3*w - 11 = b. Let t(k) be the second derivative of 0 + 4*k**2 - k**5 + 10/3*k**3 - w*k**4 - 11*k + 14/15*k**6. Factor t(o).
4*(o - 1)**2*(o + 1)*(7*o + 2)
Let u(b) be the first derivative of -b**4/16 + 53*b**3/12 - 116*b**2 + 1344*b - 3209. Factor u(g).
-(g - 21)*(g - 16)**2/4
Suppose 0 = 221*d - 227*d - 4*u + 20, -2*d + 4*u = 4. What is r in -2/9*r**3 + 14/9*r**2 + d - 10/3*r = 0?
1, 3
Find y, given that 44/3*y**2 - 52/3*y**3 - 16 + 52/3*y + 4/3*y**4 = 0.
-1, 1, 12
Solve 1/7*m**3 - 50/7*m**2 + 72*m + 0 = 0 for m.
0, 14, 36
Suppose 8*h - 24 = -2*z + 3*h, -5*h + 30 = 5*z. Factor 6*q**5 + 25*q**4 - 30*q**3 + 40*q - 9*q**5 - 12*q**z - 8*q**2 - 2*q**5.
-5*q*(q - 2)**3*(q + 1)
Let f be 10/(-2)*6/(-6)*1. What is o in -79*o + 143*o + 50 - 79*o - f*o**2 = 0?
-5, 2
Let p be (-5057)/(-364) + 1/4 + 1/(-7). Let n(d) be the first derivative of 4*d**2 - 2/5*d**3 - 1/25*d**5 - 5*d - 2/5*d**4 + p. What is b in n(b) = 0?
-5, 1
Let j = -200 - -304. Factor 4*c**2 + 108*c**3 - j*c**3 + 8*c**2.
4*c**2*(c + 3)
Suppose -4*b - y - 5 = 0, 5*b - 4*b + 14 = 4*y. Let s be b/(-8) - (9 - (0 + 9)). Let 3*f + s*f**2 + 9 = 0. What is f?
-6
Let g(u) = -23*u**3 + 2*u**2 - u + 1. Let j be g(1). Let w be (-9)/63 - 633/j. Factor -30*p**3 + 9*p**4 + w*p + 40*p**2 - 24 - 21 - 4*p**4.
5*(p - 3)**2*(p - 1)*(p + 1)
Let -15*p**3 - 62*p**2 + 17*p**2 + 258*p**4 - 5*p**5 - 135*p**4 - 98*p**4 = 0. Calculate p.
-1, 0, 3
Factor 3730*q - 134*q - 14750 - 236*q**2 + 4*q**3 - 14763 + 26149.
4*(q - 29)**2*(q - 1)
What is p in -1020*p**2 + 2075*p + 1540*p**4 + 7*p**5 + 4*p**5 + 4*p**5 - 520 - 37*p**3 - 2053*p**3 = 0?
-104, -1, 1/3, 1
Let q(g) be the third derivative of g**7/735 - 3*g**6/20 + 79*g**5/70 - 53*g**4/84 - 118*g**3/7 - 5901*g**2. Let q(p) = 0. Calculate p.
-1, 2, 3, 59
Let b be ((-48)/(-224))/((-9)/(-126)). Factor 1/10*u**b + 0*u**2 - 3/10*u - 1/5.
(u - 2)*(u + 1)**2/10
Let c(w) be the second derivative of w**5/35 - 4*w**4/21 + 8*w**3/21 - 633*w. Find g such that c(g) = 0.
0, 2
Suppose -5*t - 47 = -n, 2*n + 4*t + 1172 - 1140 = 0. Solve 4 + 58/15*f - 2/15*f**n = 0.
-1, 30
Let i(k) be the second derivative of -k**6/15 + 3*k**5/2 + 7*k**4/6 - 37*k**3 + 90*k**2 - k + 2273. Solve i(t) = 0 for t.
-3, 1, 2, 15
Let n(a) = 11 - 4*a**2 - 3 + 9*a + 2*a**2. Let b be n(5). Factor -9*z**b - 4*z**4 + 0*z**4 - 15*z**3.
-4*z**3*(z + 6)
Let q = -21320 + 21330. Let s(o) be the first derivative of 4/3*o**2 + 2/15*o**5 + 4/3*o**3 + q - 16/3*o - 5/6*o**4. Factor s(f).
2*(f - 2)**3*(f + 1)/3
Suppose -3*z = g - 3*g + 14, -5*g + 10 = 5*z. Factor 12*t**3 + 6 + 2877*t**g - 9*t - 2877*t**4 - 3*t**5 - 6*t**2.
-3*(t - 1)**3*(t + 1)*(t + 2)
Let t be (153 - 156) + (2/1 - (4 - 5)). Let m(z) be the second derivative of 7*z - 1/15*z**3 + t + 0*z**2 + 1/30*z**4. Factor m(p).
2*p*(p - 1)/5
Let v(k) = 15*k**2 - 1076*k - 288. Let t be v(72). Factor -1/2*m**2 + t + 6*m.
-m*(m - 12)/2
Suppose -437*v - 520 = -1394. Let 15/2*u**v + 3/4*u**3 + 18 + 21*u = 0. Calculate u.
-6, -2
Let q(w) be the first derivative of w**4 - 20*w**3/3 - 268*w**2 - 960*w + 6671. Factor q(x).
4*(x - 15)*(x + 2)*(x + 8)
Factor 224 - 152/3*u - 2/3*u**3 - 88/3*u**2.
-2*(u - 2)*(u + 4)*(u + 42)/3
Let o = -22275 + 22277. Let g(a) be the second derivative of -a + 0*a**o + 0 - 5/3*a**3 - 5/4*a**4. Factor g(z).
-5*z*(3*z + 2)
Let r = -320 + 324. Let d be (15/(-50))/((-1)/r). Solve 6/5*f**2 - d - 16/5*f = 0 for f.
-1/3, 3
Let p(l) = -21*l - 378. Let g be p(-18). Let n(u) be the third derivative of 0*u - 9/32*u**4 + 3/40*u**5 + g + 0*u**3 + 12*u**2 - 1/160*u**6. Factor n(d).
-3*d*(d - 3)**2/4
Let y(m) be the third derivative of m**5/5 + 101*m**4/6 + 44*m**3 + 1019*m**2. Suppose y(z) = 0. Calculate z.
-33, -2/3
Let f(q) = -295752*q + 1774514. Let h be f(6). Let p = -35 - -73/2. What is x in -3/4*x**4 + 9/4 - p*x**h - 3*x + 3*x**3 = 0?
-1, 1, 3
Let q(y) be the first derivative of y**4 - 120*y**3 + 3666*y**2 + 35344*y - 1485. Factor q(z).
4*(z - 47)**2*(z + 4)
Let h(f) be the first derivative of 2/3*f**3 + 0*f**2 - 1/4*f**4 + 0*f + 17. Factor h(g).
-g**2*(g - 2)
Let t(p) be the second derivative of 2025*p**5/4 + 30225*p**4/2 - 8090*p**3/3 + 180*p**2 + 15*p - 175. Factor t(v).
5*(v + 18)*(45*v - 2)**2
Find v, given that 48/19*v - 56/19*v**2 - 2/19*v**4 + 0 + 20/19*v**3 = 0.
0, 2, 6
Suppose 0 = 265*s - 7253*s + 21367 + 13573. Determine o, given that 10/3*o**4 - 40/3*o**2 + 8/3*o - 8/3*o**s + 0 + 10*o**3 = 0.
-2, 0, 1/4, 1, 2
Suppose -3*y + 15 = -0. Let u = 1346 + -880. Suppose -c**5 - 2*c**4 - u*c**3 + y*c**4 + 464*c**3 = 0. Calculate c.
0, 1, 2
Let q(u) = -u**2 - 100*u + 7. Suppose -38 = 4*r + 15*m - 10*m, -5*m = 5*r + 45. Let g(p) = -51*p + 3. Let h(a) = r*g(a) + 3*q(a). Determine v so that h(v) = 0.
0, 19
Let r be 3*((-9)/(-6))/(279/248). Let l(b) be the first derivative of 1/4*b + 1/20*b**5 + 18 + 1/4*b**r + 1/2*b**2 + 1/2*b**3. Find g, given that l(g) = 0.
-1
Let l(g) be the first derivative of g**6/30 + g**5/3 + 3*g**2/2 + 12*g + 84. Let h(s) be the second derivative of l(s). Factor h(m).
4*m**2*(m + 5)
Let g(s) be the first derivative of 3*s**4/4 - 21*s**3 + 57*s**2 - 810. Factor g(t).
3*t*(t - 19)*(t - 2)
Let b(q) be the third derivative of 0 + 2*q**5 + 1/24*q**6 + 405*q**3 + 2*q**2 - 10*q + 315/8*q**4. Factor b(o).
5*(o + 6)*(o + 9)**2
Let -324*a**3 + 170*a**2 + 1956*a - 9181*a + 323*a**3 = 0. What is a?
0, 85
Let r = 620525/542941 - 3/77563. Solve r*a - 10/21*a**2 - 8/21 = 0.
2/5, 2
Let n(r) be the first derivative of -r**3/3 - 14*r**2 - 187*r + 678. Suppose n(d) = 0. What is d?
-17, -11
Factor 702/5 - 87/5*c + 1/5*c**2.
(c - 78)*(c - 9)/5
Let i(m) = -23*m**3 + 97*m**2 + 128*m. Let u = 312 - 304. Let p(z) = -15*z**3 + 65*z**2 + 85*z. Let f(l) = u*p(l) - 5*i(l). Suppose f(g) = 0. Calculate g.
-1, 0, 8
Let y(u) be the first derivative of 0*u + 5/6*u**5 + 5/18*u**6 - 79 - 25/18*u**3 - 5/6*u**2 + 0*u**4. Find h such that y(h) = 0.
-2, -1, -1/2, 0, 1
Let q(r) be the second derivative of -r**5/130 + 161*r**4/39 - 8532*r**3/13 - 52488*r**2/13 - 4*r + 7. Factor q(n).
-2*(n - 162)**2*(n + 2)/13
Let i(k) = 5*k + 2. Let u(d) = 28*d - 57. Let m(g) = -4*i(g) + u(g). Let c be m(10). Factor 0 - c*h + 5/2*h**2.
5*h*(h - 6)/2
Let f(p) be the first derivative of -p**6/36 + 3*p**5/10 + 87*p**4/8 + 1319*p**3/18 + 158*p**2 + 138*p - 907. Let f(j) = 0. What is j?
-6, -1, 23
Let d be (-25 - (4 - 14)) + 20. Let s(v) be the third derivative of -1/20*v**d + 0*v + v**3 + 0 - 1/8*v**4 + 13*v**2. Find m, given that s(m) = 0.
-2, 1
Let y = 183032/320355 - -4/45765. Determine c so that 8/7*c**3 - y - 8/7*c**2 - 2*c = 0.
-1/2, 2
Let h(z) be the third derivative of z**7/210 - 23*z**6/120 - 169*z**5/60 - 145*z**4/24 + 1251*z**2. Factor h(t).
t*(t - 29)*(t + 1)*(t + 5)
Let p(b) = -b**2 - 10*b + 99. Let j be p(6). Factor -334 + 334 + 3*k**4 - 6*k**j.
3*k**3*(k - 2)
Factor -130*d**2 + 10*d**3 - 185*d - 284 + 204 - 35*d**3.
-5*(d + 1)**2*(5*d + 16)
Let q be -7 - -8 - 2/(4/(-18)). Suppose -q*h + 63 = 3. Determine b so that -11*b**3 - 9*b**3 - 7*b**2 - 4*b**5 - 25*b**4 - h*b**5 + 2*b**2 = 0.
-1, -1/2, 0
Let q(g) be the second derivative of 