 = 0.
-8, -1, 2, 4
Let t(r) be the second derivative of r**6/150 - 3*r**5/50 + r**4/20 + r**3/3 - 2*r + 1353. Suppose t(k) = 0. Calculate k.
-1, 0, 2, 5
Let g(k) be the first derivative of 1/5*k**3 - 3/10*k**2 + 19 + 0*k. Solve g(u) = 0.
0, 1
Suppose -1844/5*d**2 - 7/5*d**5 - 149/5*d**4 - 1008/5*d**3 + 768/5 + 448*d = 0. What is d?
-8, -6, -2/7, 1
Let b(o) = -12*o**2 - 92*o - 1192. Let k(d) = -14*d**2 - 91*d - 1188. Let y(r) = -9*b(r) + 8*k(r). Suppose y(t) = 0. Calculate t.
-9, 34
Let c(r) be the second derivative of 5/12*r**4 - 1/6*r**6 + 0*r**2 + 1 - 5/3*r**3 + 12*r + 1/2*r**5. Suppose c(t) = 0. Calculate t.
-1, 0, 1, 2
Let u be -6 + (0 - -3) - -11. Suppose -22*w = -35*w + 117. Factor -u*r + 11*r + 9 - 3*r**4 - 18*r - w*r + 18*r**2.
-3*(r - 1)**3*(r + 3)
Let p(f) be the first derivative of -7*f**4/12 + f**3/2 + 2*f**2 + 33*f - 11. Let q(k) be the first derivative of p(k). Suppose q(y) = 0. Calculate y.
-4/7, 1
Let b(h) be the second derivative of h**4/4 - 23*h**3/2 + 180*h**2 + 26*h - 38. Let b(s) = 0. What is s?
8, 15
Let s(y) be the second derivative of -32*y**6/15 + 232*y**5/5 - 299*y**4 + 812*y**3/3 - 98*y**2 + 15*y + 16. Solve s(g) = 0 for g.
1/4, 7
Let y(a) be the third derivative of -a**7/1050 + 19*a**6/600 + 7*a**5/50 - 343*a**4/30 - 1372*a**3/15 - 1480*a**2. Suppose y(d) = 0. Calculate d.
-7, -2, 14
Factor 193/8 + 195/8*c**2 + 1/8*c**3 + 387/8*c.
(c + 1)**2*(c + 193)/8
Let g(c) be the first derivative of -1/36*c**5 + 8 + 0*c**4 + 9/2*c**2 + 0*c + 10/9*c**3. Let b(t) be the second derivative of g(t). Solve b(h) = 0.
-2, 2
Suppose -3*d + 10 = -4*t - 4, -4*d - 2*t - 18 = 0. Let p be (d/10)/(28/(-70)). Factor 0*c + 0 - p*c**3 + c**2.
-c**2*(c - 2)/2
Let y(w) be the second derivative of 0*w**2 + 2*w**3 + 45/8*w**5 + 1/4*w**7 - 11/5*w**6 - 37*w + 0 - 23/4*w**4. Suppose y(p) = 0. What is p?
0, 2/7, 1, 4
Let z(p) be the second derivative of p**4/12 - 37*p**3 - 223*p**2/2 + 12*p. Determine l so that z(l) = 0.
-1, 223
Factor -126/5*b**2 + 31/5*b**3 - 3724/5*b - 1/5*b**4 + 30184/5.
-(b - 14)**3*(b + 11)/5
Let a(d) be the second derivative of -d**7/126 - d**6/15 + d**5/15 + 17*d**4/18 - 17*d**3/6 + 10*d**2/3 + 1643*d. Factor a(c).
-(c - 1)**3*(c + 4)*(c + 5)/3
Let h(r) be the third derivative of r**5/270 + 17*r**4/108 - 26*r**3/3 + r**2 + 4*r - 3. Factor h(y).
2*(y - 9)*(y + 26)/9
Suppose -6*f - 247 + 1273 = 0. Factor 335 - 178 + 9*j - f + 7*j - 2*j**2.
-2*(j - 7)*(j - 1)
Let m = 34476 + -68951/2. Factor 6*l**3 - 49/2 - 42*l - m*l**4 - 11*l**2.
-(l - 7)**2*(l + 1)**2/2
Suppose -4*u + 53 = 3*m + 21, 4*m - 48 = -4*u. Let a be 4*(-6)/(-120) - 9/(-5). Factor -32 + 8 + 2*x**a + m.
2*(x - 2)*(x + 2)
Let k(b) be the third derivative of b**7/210 - b**6/120 - b**5/30 + 1309*b**2. Find y such that k(y) = 0.
-1, 0, 2
Let s(b) be the third derivative of -b**7/70 + b**6/40 + 9*b**5/20 - 9*b**4/8 - 45*b**2 + b. Let s(z) = 0. What is z?
-3, 0, 1, 3
Let w(v) be the first derivative of -v**5/8 + 5*v**4/12 + 5*v**3/4 + 73*v - 59. Let j(q) be the first derivative of w(q). Solve j(g) = 0.
-1, 0, 3
Let o(j) be the third derivative of -j**7/42 + 19*j**6/24 + j**5/4 - 295*j**4/24 + 95*j**3/3 + 33*j**2 + 20. Factor o(n).
-5*(n - 19)*(n - 1)**2*(n + 2)
Suppose 2*z + 14 = 3*z. Let q = 399 - 387. Find p, given that 6*p**3 - 2*p - z*p**3 - q + 60*p - 38*p**2 = 0.
-6, 1/4, 1
Factor 225/2 + 3/8*k**2 - 111/8*k.
3*(k - 25)*(k - 12)/8
Let h(u) be the second derivative of -u**6/24 + 7*u**5/12 - 55*u**4/24 + 25*u**3/6 + 17*u**2 + 5*u + 1. Let r(x) be the first derivative of h(x). Factor r(f).
-5*(f - 5)*(f - 1)**2
Factor -47*w**3 + 1/8*w**4 + 35721/8 + 8883*w + 17483/4*w**2.
(w - 189)**2*(w + 1)**2/8
Suppose 4*t - 36 = 560. What is o in 18*o**3 - 14*o + t*o + 4*o**4 - 27*o**2 - 85*o**2 + 4*o**2 - o**5 = 0?
-5, 0, 3
Let 1/3*t**2 + 716/3*t + 128164/3 = 0. What is t?
-358
Let d(r) be the second derivative of -200/7*r**2 + 0 + 40/21*r**3 + 175*r - 1/21*r**4. Factor d(o).
-4*(o - 10)**2/7
Let j(k) be the first derivative of -234 - 2*k + 0*k**2 + 1/2*k**3 + 1/8*k**4. Determine r so that j(r) = 0.
-2, 1
Suppose -2*d - 2 = -3*i, 3*d - 802 = 3*i - 799. Let t(p) be the first derivative of -4*p**3 + 9/4*p**i + 6*p - 3/2*p**2 - 17. Factor t(v).
3*(v - 1)**2*(3*v + 2)
Let h(o) = 90 - 4*o**2 - o**3 - o - 81 + o. Let v be h(-3). Factor v*l - 1/3*l**3 + 0 - 1/3*l**2.
-l**2*(l + 1)/3
Factor -195*d - 2287*d - 5*d**2 + 1072*d - 1405.
-5*(d + 1)*(d + 281)
Let x(w) be the first derivative of -3/16*w**4 - 46 + 7/4*w**3 - 45/8*w**2 + 27/4*w. What is n in x(n) = 0?
1, 3
Let y(c) be the second derivative of c**4/4 - 428*c**3 + 274776*c**2 + 1384*c. Factor y(s).
3*(s - 428)**2
Suppose -124*f + 112 = -20*f - 200. Let y(a) be the first derivative of 3/20*a**4 + 6/25*a**5 + 0*a + 0*a**2 - 6 + 1/10*a**6 + 0*a**f. Factor y(i).
3*i**3*(i + 1)**2/5
Suppose 2*h - h - 20 = 0. Suppose 10*f = -0*f + h. Suppose -2*u**5 - 9 + 4*u**f - 4 - 3 - 22*u**3 + 12*u**4 + 24*u = 0. What is u?
-1, 1, 2
Let y be (18/7)/(-3)*-7. Find j such that -10*j**2 + 2*j**3 + y + 7 + 3 + 4*j = 0.
-1, 2, 4
Suppose -4*c - 2*d - 70 = 0, -c + d - 17 = 2*d. Let z be -4 - 2/4*c. Suppose 5*t**z - 3*t**5 - 2*t**2 + 2*t**4 + 3*t**3 - 2*t**3 - 3*t**3 = 0. What is t?
-1, 0, 1
Let k(a) = 109*a - 2 + a**2 - 119*a + 4*a**2 + 7. Let x(u) = u**2 - 1. Suppose 0 = -3*s + s + 6. Let c(q) = s*x(q) - k(q). Factor c(l).
-2*(l - 4)*(l - 1)
Let p(f) be the second derivative of 23*f**6/50 + 34*f**5/25 - 73*f**4/60 - 68*f**3/15 + 2*f**2/5 - 69*f. Determine x, given that p(x) = 0.
-2, -1, 2/69, 1
Let d(b) be the second derivative of 0 + 22/7*b**3 + 84*b - 726/7*b**2 - 1/28*b**4. Suppose d(r) = 0. What is r?
22
Let k(g) be the first derivative of 19*g**6/200 + 21*g**5/100 - 9*g**4/10 - 2*g**3/5 + 8*g**2 + 56. Let r(n) be the second derivative of k(n). Factor r(p).
3*(p - 1)*(p + 2)*(19*p + 2)/5
Let h(p) = -5*p**2 - 2307*p + 2180. Let o(r) = -5*r**2 - 2351*r + 2180. Let s(x) = -4*h(x) + 3*o(x). Solve s(j) = 0.
-436, 1
Suppose -3*t - 2*h + 16 = 0, t + 5*h - 2*h = 17. Suppose 3*l - t*f + 3*f = 9, 3*l + 3*f = 9. Let l*g - 2*g**2 + 4*g - 2*g - 3*g = 0. Calculate g.
0, 1
Let v(m) = -2*m**2 + 2*m + 1. Let q(n) = -40*n**4 - 125*n**3 + 1385*n**2 - 1060*n - 140. Let a(o) = -q(o) + 20*v(o). Suppose a(j) = 0. Calculate j.
-8, -1/8, 1, 4
Let c(u) be the third derivative of u**5/180 - 817*u**4/36 + 667489*u**3/18 - 1050*u**2. Factor c(x).
(x - 817)**2/3
Suppose 2*g - 15 = -5*u + 3, -g = -u - 2. Suppose -u*c + 2 = 0, -c - 889 = -2*s - 78. Factor -16*d**2 + s*d - 222*d - 200*d - 4*d**3.
-4*d*(d + 2)**2
Let i = -5/861 - -65491/9471. Determine v, given that -8/11*v**4 - 26/11*v - 46/11*v**3 + 12/11 - i*v**2 = 0.
-3, -2, -1, 1/4
Suppose 236*h - 368 + 1358*h**2 + 2*h**4 - 1892*h**2 - 31*h**3 - 49*h**3 - 1056*h = 0. What is h?
-4, -1, 46
Suppose 0 = 27363*f - 27366*f + 4*x + 62, 2*f - x = 28. Determine o so that -5*o**2 - 10/3*o**3 + f + 55/3*o = 0.
-3, -1/2, 2
Let x(f) be the first derivative of 3*f**4/2 - 62*f**3/3 + 36*f**2 + 3881. Factor x(b).
2*b*(b - 9)*(3*b - 4)
Let t = -130 - -132. Find m, given that -2060*m**t - 3 + 43*m - 93*m + 473*m**2 - 88*m = 0.
-1/23
Solve 4*q**3 + 80 + 4*q - 33*q - 74*q + 111*q**2 + 267*q - 23*q**2 = 0.
-20, -1
Let z(u) be the first derivative of -u**4/16 + 11*u**3/2 - 191*u**2/8 + 63*u/2 + 3555. Factor z(r).
-(r - 63)*(r - 2)*(r - 1)/4
Factor 0*a - 3*a**2 + 0 + 0*a**4 - 7/2*a**3 + 1/2*a**5.
a**2*(a - 3)*(a + 1)*(a + 2)/2
Factor -9/5*i + 1/10*i**3 - 7/10*i**2 + 0.
i*(i - 9)*(i + 2)/10
Let g(b) = -17*b**3 - 269*b**2 - 909*b - 210. Let h(t) = 22*t**3 + 272*t**2 + 910*t + 210. Let i(k) = -6*g(k) - 5*h(k). Let i(d) = 0. What is d?
-3, -1/4, 35
Find k such that -12/7*k + 16/7*k**2 + 12/7*k**3 - 2/7 - 2*k**4 = 0.
-1, -1/7, 1
Let l(i) be the first derivative of i**3 - 18*i + 15/2*i**2 - 81. Let l(y) = 0. Calculate y.
-6, 1
Let x = 501907 - 501907. Determine t, given that -1/5*t**2 + x*t + 4/5 = 0.
-2, 2
Let -44*h + 10*h**4 - h**5 + 32*h**2 + 1513*h**3 + 32*h - 1542*h**3 = 0. Calculate h.
0, 1, 2, 6
Let l(i) be the third derivative of i**8/1680 - i**7/280 + i**6/120 - i**5/120 - 11*i**3/2 + 22*i**2. Let s(v) be the first derivative of l(v). Factor s(k).
k*(k - 1)**3
Find g such that 4*g**4 - 55097 - 22649 - 800*g**3 - 2*g**4 + 800*g + 79998*g**2 - 2254 = 0.
