Suppose -96 = -16*f + 2080. Suppose 1 - 2*h**2 - f*h + 112*h - 73 = 0. Calculate h.
-6
Suppose 5*x + 8490 = 3*n, -1562 = -2*x - 2*n - 4942. Let r = x - -6781/4. Factor 0 + 1/4*m + r*m**2.
m*(m + 1)/4
Let r(d) be the first derivative of d**5/10 - 23*d**4/9 - 11*d**3/3 + 16*d**2/3 - 112*d - 44. Let s(j) be the first derivative of r(j). Factor s(b).
2*(b - 16)*(b + 1)*(3*b - 1)/3
Let i = -9439 + 9445. Let f(j) be the third derivative of -1/480*j**i + 1/48*j**4 - 1/240*j**5 + 0*j + 0 + 0*j**3 + 41*j**2. Factor f(k).
-k*(k - 1)*(k + 2)/4
Let u(l) be the second derivative of -5*l**4/12 + 5*l**3/6 + 180*l**2 + 85*l. Solve u(h) = 0 for h.
-8, 9
Let g(r) = -r**3 - 1916*r**2 + 913932*r + 2. Let l(n) = 12*n**3 + 21078*n**2 - 10053250*n - 23. Let f(u) = 46*g(u) + 4*l(u). Factor f(z).
2*z*(z - 956)**2
Let m = -2982 + 2986. Let j(d) be the second derivative of 2/3*d**3 + 0 + 13*d - 4/3*d**2 - 1/9*d**m. Solve j(g) = 0.
1, 2
Let s = 29 - 16. Suppose 4*f + 3*v + 6 = 0, -15 = -168*f + 171*f + 4*v. Factor f*i**2 + 8*i + s*i + 0*i.
3*i*(i + 7)
Factor 1121*y**2 + 449 + 1977*y - 49*y**5 + 121 + 1026*y**3 + 46*y**5 + 132*y**4 + 42 + 1135*y**2.
-3*(y - 51)*(y + 1)**3*(y + 4)
Let y(i) be the third derivative of -8/9*i**3 + 0 - 1/252*i**8 + 1/2*i**4 + 0*i - 4/45*i**6 + 4/105*i**7 - 2/45*i**5 + 148*i**2. Find p such that y(p) = 0.
-1, 1, 4
Let a = 24 - 95. Let b = 173 + a. Let b - 36*u**2 - 60*u + 3 - 4*u**3 - 5 = 0. Calculate u.
-5, 1
Let m(t) be the third derivative of -t**6/24 + 43*t**5/12 - 85*t**4 + 930*t**3 + 725*t**2 - 2*t. Factor m(k).
-5*(k - 31)*(k - 6)**2
Let k(x) be the first derivative of x**6/210 + x**5/210 - x**4/42 - x**3/21 - 8*x**2 - 72. Let m(l) be the second derivative of k(l). Solve m(n) = 0 for n.
-1, -1/2, 1
Let a(p) = 6*p - 36. Let v be a(8). Determine z so that -v*z + 16*z**2 - 18*z**2 - 4 + 4 = 0.
-6, 0
Let l be (1 + 6/(-8))*(-28 + 13 + 23). Factor 3/5*d - 2/5 - 1/5*d**l.
-(d - 2)*(d - 1)/5
Let p(y) = -y**3 + 4*y**2 - 4*y + 3. Let z be p(2). Suppose 11 = 5*c + z*n - 6*n, 2*c - 17 = -3*n. Factor -i + 4 + 5*i**3 - c*i - 15*i**2 + 8 + 3.
5*(i - 3)*(i - 1)*(i + 1)
Let t(n) = -n**2 + 27*n - 3. Let z be t(20). Let p = z + 38. Find w, given that 9*w**2 + 167 + 2*w**3 - p - 3*w**2 = 0.
-2, 1
Let x be ((-3)/1)/(192/2560). Let v = x - -122/3. Factor -2/3*y**3 - 1/3*y**2 + 0 + 1/3*y**4 + v*y.
y*(y - 2)*(y - 1)*(y + 1)/3
Let j(a) be the first derivative of -a**3/2 - 388*a**2 - 517*a/2 + 1233. Suppose j(t) = 0. Calculate t.
-517, -1/3
Let h = 10 - 38. Let c = -25 - h. Solve -z**4 - 17*z**c + 41*z**3 + 4*z - 8*z**2 - 19*z**3 = 0 for z.
0, 1, 2
Let y(x) be the first derivative of x**3/6 + 19*x**2/2 + 120*x - 6112. Find z such that y(z) = 0.
-30, -8
Let u(g) = g**3 - 6*g**2 + 8*g - 13. Let w be u(5). What is c in -5 + 2*c**w - 1 + 4*c - 7 + 7 = 0?
-3, 1
Factor -4*o**4 - 108*o**2 + 72*o + 728777*o**3 + 3 - 3 - 728737*o**3 + 0.
-4*o*(o - 6)*(o - 3)*(o - 1)
Let r = 527268 + -4745410/9. Let -r*z**2 - 4/9*z + 16/9 = 0. What is z?
-4, 2
Suppose -374*c - 12 = -380*c. Find v, given that -8*v**3 - 155*v + 21*v**2 - 79*v**c + 178*v**2 + 55*v**2 - 12*v**3 = 0.
0, 1, 31/4
Let s be 3/9 + 60/36. Suppose 27 + 896*o + 24*o**5 + 1096*o**3 + 12*o**5 + 1536*o**s + 131*o**3 - 59*o**3 + 165 + 372*o**4 = 0. What is o?
-6, -2, -1, -2/3
Determine j so that 82*j**3 + 226*j**2 - 80*j - 29*j**4 - 152 + 104328*j**5 - 45*j**4 - 104330*j**5 = 0.
-38, -1, 1, 2
Let u(m) be the third derivative of 1/60*m**6 + 0*m + 66*m**2 + 0*m**3 - 1/1260*m**7 - 1/12*m**4 + 1/360*m**5 + 0. Determine k so that u(k) = 0.
-1, 0, 1, 12
Factor 2*l**3 - 1/2*l**2 - 2*l + 1/2*l**4 + 0.
l*(l - 1)*(l + 1)*(l + 4)/2
Let o = 7566/5 + -1506. Factor -39/5*k - 3/5*k**2 - o.
-3*(k + 1)*(k + 12)/5
Let c be (-1)/((-2 - -1)*27/((-486)/(-6))). Factor -2/13*u**4 - 54/13*u + 0 + 18/13*u**2 + 6/13*u**c.
-2*u*(u - 3)**2*(u + 3)/13
Let v(p) be the third derivative of -2535/8*p**3 + 0 + 0*p - 65/16*p**4 + 178*p**2 - 1/48*p**5. Solve v(x) = 0.
-39
Let u = 356 - 365. Let a be (1 + u)*(-30)/18. Factor -a*i - 100/3 - 4/3*i**2.
-4*(i + 5)**2/3
Let x(s) be the third derivative of -8*s + 80/3*s**3 + s**2 + 0 - 1/30*s**6 + 1/105*s**7 - 9/10*s**5 + 14/3*s**4. What is l in x(l) = 0?
-5, -1, 4
Let q = -1 - -4. Let n be 13 + ((-136)/10 - -1). Suppose 2/5*r**2 - 2/5 + 2/5*r - n*r**q = 0. What is r?
-1, 1
Determine d, given that -488 - 4884/5*d - 4/5*d**3 - 2448/5*d**2 = 0.
-610, -1
Let z be 4578/(-2289) + 1 + 3. Factor 2/7*l**z + 20/7*l + 0.
2*l*(l + 10)/7
Find s, given that 99/2*s + 9/2*s**5 + 0 + 51*s**2 + 141*s**4 - 246*s**3 = 0.
-33, -1/3, 0, 1
Let r(l) = -4*l**5 - 61*l**4 - l**3 + 61*l**2 + 5*l + 10. Let g(u) = u**5 + u**4 - u**2 - u - 2. Let i(j) = -5*g(j) - r(j). What is n in i(n) = 0?
-1, 0, 1, 56
Let l = 4909 - 29453/6. Let r(w) be the first derivative of 0*w - 1/12*w**4 + 0*w**3 + l*w**2 + 12. Let r(t) = 0. Calculate t.
-1, 0, 1
Let p be 56/(-7)*(-3)/8. Factor -p - h**4 + 1 + 6*h**2 - 17*h**3 + 16*h**3 - 3*h**2 + h.
-(h - 1)**2*(h + 1)*(h + 2)
Factor 169*q**4 - 500*q**4 + 8*q**5 - 16*q - 40*q**2 + 285*q**4 + 84*q**3.
2*q*(q - 2)**3*(4*q + 1)
Solve -392/13*q**4 + 530/13*q**2 - 18/13*q**3 - 24/13 - 128/13*q**5 + 32/13*q = 0 for q.
-2, -1/4, 3/16, 1
Let t(y) = -14*y**2 - 284*y - 488. Let s(q) = q**2 + 2*q - 2. Let o(f) = -12*s(f) - t(f). Suppose o(k) = 0. What is k?
-128, -2
Factor 5256/17*l + 3453192/17 + 2/17*l**2.
2*(l + 1314)**2/17
Let s(l) be the first derivative of 3*l**3 + 30 + 0*l - 3/4*l**4 - 3*l**2. Solve s(w) = 0 for w.
0, 1, 2
What is u in 16662724/5 + 8164/5*u + 1/5*u**2 = 0?
-4082
Factor 2/19*m**2 - 302/19 - 300/19*m.
2*(m - 151)*(m + 1)/19
Let g = 353144 - 353138. Solve 5*l + 1/2*l**2 + g - 1/4*l**3 = 0.
-2, 6
Let k be 12702/116*(-4)/(-6). Let d be (68 - k) + 17/3. What is q in -2/3*q**3 - 2*q**2 + 4/3 + d*q + 2/3*q**4 = 0?
-1, 1, 2
Let p(c) be the second derivative of -c**6/90 + c**5/9 + c**4/18 - 10*c**3/9 + 141*c**2/2 - 2*c - 20. Let b(k) be the first derivative of p(k). Solve b(n) = 0.
-1, 1, 5
Let d = -158 + 153. Let j(q) = q**2 - 5*q - 2. Let c(u) = -2. Let h(m) = d*j(m) + 20*c(m). Solve h(x) = 0.
2, 3
Let b = -316049 - -316049. Find w such that -1/5*w**5 + 0 + 0*w**2 + b*w + 3/5*w**4 - 2/5*w**3 = 0.
0, 1, 2
Let r = 619/24 - 137/8. Let l(f) be the first derivative of -26/5*f**5 + f**6 + 29 - 4*f**2 + 0*f + r*f**3 + 1/2*f**4. Determine p so that l(p) = 0.
-1, 0, 1/3, 1, 4
Let m be -2 + 3 - (0 - 0 - 96). Factor -31*a + 3*a + 100 + m*a - 12*a**2 + 205*a + 22*a.
-4*(a - 25)*(3*a + 1)
Let p be -12 + 14 + -1 + 1. Let d be -12*(-4)/(p + 2). Factor s**2 + 12*s + 3*s**5 - 7*s**2 - d*s - 3*s**3 + 6*s**4.
3*s**2*(s - 1)*(s + 1)*(s + 2)
Let u = -490 - -827. Suppose 13*t - u = -77. Factor 3*s**2 - 2*s**2 - 20 - 6*s**2 - t*s.
-5*(s + 2)**2
Factor 175*u + 81 - 280 - 157 - 169 - 255 + 5*u**2.
5*(u - 4)*(u + 39)
Let z(a) = -40*a**2 - a. Let w(c) = 131*c**2 - 2360*c - 430. Let s(h) = 5*w(h) + 15*z(h). Factor s(t).
5*(t - 215)*(11*t + 2)
Factor -240*t - 2*t**3 - 240*t - 4*t**3 - 184*t**2 - 9*t**3 - t**4 - 400 - 9*t**3.
-(t + 2)**2*(t + 10)**2
Let i be 1/5 + 96/(-30) - -26. Let u(h) = h**3 - 23*h**2 - 4*h + 94. Let p be u(i). Let -3/8*q**p + 15/8*q + 9/4 = 0. Calculate q.
-1, 6
Let r(j) = -j**3 + 8*j - 25. Let d be r(3). Let w = d - -214/7. Factor -8/7 - w*q - 2/7*q**3 - 12/7*q**2.
-2*(q + 1)**2*(q + 4)/7
Let f = 4268 + -4264. Let h(w) be the second derivative of 16/11*w**2 - 5*w + 1/66*w**f + 0 - 8/33*w**3. Determine k so that h(k) = 0.
4
Let p(l) be the second derivative of -l**7/105 - l**6/60 - 75*l**2/2 + 28*l. Let j(t) be the first derivative of p(t). Factor j(x).
-2*x**3*(x + 1)
Find j such that 19*j**2 - 227/8*j**4 + 0*j + 0 - 3/8*j**5 + 39/4*j**3 = 0.
-76, -2/3, 0, 1
Let h be ((1143/254)/(36/(-15)))/(-5). Suppose h*a**2 + 0 - 21/8*a = 0. Calculate a.
0, 7
Let i(d) = 4*d**2 + 280*d - 5095. Let m be i(15). Factor 7/6*h**2 - 7/3*h**3 + 1/3 - 2*h**4 + 3/2*h + 4/3*h**m.
(h - 2)*(h - 1)*(2*h + 1)**3/6
Solve -20205*y**2 + 10105*y**2 + 1 + 2012*y - 1 + 10096*y**2 = 0 for y.
0, 503
Let y(k) be the second derivative of -k**6/90 + k**5/5 - k**4 - 225*k**2/2 + 87*k. Let i(w) be the first derivative of y(w). Determine h, given that i(h) = 0.
0, 3, 6
Let b(c) be the first derivative of c**5/30 + 3*c**4/4 + 28*c**3/9 + 493. Factor b(q).
q*