 110)/7
Let p = 681 - 525. Let 2*a**2 - 14*a**2 - p + 74*a - 166 + 252 = 0. What is a?
7/6, 5
Suppose 3*j = 7*m - 2*m - 1, 20 = 4*m + 4*j. Factor -15612*i - 2*i**4 + 15612*i - i**3 + i**5 + 2*i**m.
i**2*(i - 2)*(i - 1)*(i + 1)
Let b be 101 + (-223333)/2212 + 1/4. Factor -6/7 + 4/7*k + b*k**2.
2*(k - 1)*(k + 3)/7
Let f = 14 - 2. Let s(l) = 5*l**3 - 3*l**2 - 5*l - 1. Suppose 2 = -2*x + 8. Let g(q) = -q**3 + q**2 + q. Let c(m) = f*g(m) + x*s(m). Let c(b) = 0. Calculate b.
-1, 1
Let x(a) be the first derivative of 4*a**3/21 - 14*a**2 - 200*a/7 - 1441. Factor x(v).
4*(v - 50)*(v + 1)/7
Let w = -28 + 34. Let c = w + -4. Factor -10 + 3*q**c - 2 + 11 - 4*q**3 - 2*q + 4*q**2.
-(q - 1)**2*(4*q + 1)
Suppose 5*g - 16 = -1. Let z(x) be the second derivative of -x**2 + 1/2*x**g - 1/12*x**4 + 12*x + 0. Factor z(q).
-(q - 2)*(q - 1)
Let u = 38 - 40. Let h be 10/(2 - (2 + u)). Suppose -136*x - h*x**4 - 150*x**2 - 95 - 25 - 93*x + 9*x - 45*x**3 = 0. Calculate x.
-3, -2
Let w be (39/9 - 4)/(1/(-51)). Let p be w/(-12) - 136/204. Factor 7/4*m + 1/2 + p*m**2.
(m + 2)*(3*m + 1)/4
Let d(m) be the first derivative of 8 + 3/20*m**5 - 1/2*m**3 + 0*m**2 + 11*m + 0*m**4. Let g(c) be the first derivative of d(c). Find a such that g(a) = 0.
-1, 0, 1
Let l(t) be the first derivative of t**3/4 - 35*t**2/16 - 3*t/4 + 1862. Factor l(h).
(h - 6)*(6*h + 1)/8
Let d(z) be the first derivative of -23 + 0*z - 1/12*z**6 - 1/4*z**4 + 3/4*z**2 + 2/3*z**3 - 2/5*z**5. Determine m, given that d(m) = 0.
-3, -1, 0, 1
Let g(c) be the first derivative of -c**4/3 - 68*c**3/3 - 578*c**2 - 11*c + 111. Let t(v) be the first derivative of g(v). Let t(h) = 0. What is h?
-17
Suppose 83*h = 79*h + 28. Determine n so that 14*n**5 - 6*n - 13*n**2 + 20*n**4 - 171*n**3 - h*n**2 + 163*n**3 = 0.
-1, -3/7, 0, 1
Let q(r) be the second derivative of -12/35*r**5 + 50/7*r**2 + 46/21*r**4 - 40/7*r**3 + 107*r + 2/105*r**6 + 0. Factor q(d).
4*(d - 5)**2*(d - 1)**2/7
Let l(r) be the second derivative of r**4/48 - 11*r**3/3 - 89*r**2/8 + 1203*r. Factor l(i).
(i - 89)*(i + 1)/4
Suppose -13987 = -5286*h + 1008*h + 7403. Factor -5/4*x**2 - h*x - 15/4.
-5*(x + 1)*(x + 3)/4
Let w be 2*4/(-152) - 207/(-2736)*4. Factor -w*i**2 - 1/8*i - 1/8*i**3 + 0.
-i*(i + 1)**2/8
Let -706/7*q**2 + 9900/7 + 6/7*q**4 + 14430/7*q - 110/7*q**3 = 0. Calculate q.
-11, -2/3, 15
Factor -2/7*u**2 - 4/7*u**3 + 54/7*u + 72/7.
-2*(u - 4)*(u + 3)*(2*u + 3)/7
Suppose 12 = -4*l, 4*l + 13 = h - 0*l. Let w = -3703 + 3706. Factor -9*y**2 + 3*y**3 - 14 + 3*y**3 + h + w*y**4 - 24*y + 1.
3*(y - 2)*(y + 1)**2*(y + 2)
Let m(v) be the first derivative of 121*v**5/15 - 429*v**4 + 60916*v**3/9 - 21840*v**2 + 78400*v/3 + 8453. Determine g, given that m(g) = 0.
14/11, 20
Factor 1938*i**3 + 1387*i**4 - 405*i**4 + 990 + i**5 + i**5 - 5886*i**3 - 3958*i + 5932*i**2.
2*(i - 1)**4*(i + 495)
Let u(g) be the second derivative of 7*g**5/15 + 4*g**4/3 + 73*g**2/2 + 113*g. Let l(s) be the first derivative of u(s). What is q in l(q) = 0?
-8/7, 0
Let g(o) be the second derivative of 2*o**6/15 - 7*o**5/5 - 4*o**4/3 + 56*o**3/3 - 12*o + 3. Solve g(c) = 0 for c.
-2, 0, 2, 7
Suppose 3*b = 10*b - 126. Let v(a) = 8*a + 4 - 2 - b*a + 8*a**3. Let g(d) = 8*d**3 - 11*d + 3. Let r(k) = -4*g(k) + 5*v(k). Let r(h) = 0. What is h?
-1/2, 1
Let o(i) be the third derivative of i**5/3 - 11*i**4/2 - 76*i**3/3 + 1006*i**2 + 2. Factor o(b).
4*(b + 1)*(5*b - 38)
Let f(d) be the third derivative of -d**5/30 - 23*d**4/12 + d**2 + 29. Factor f(z).
-2*z*(z + 23)
Let a = -52/1349 - -3062/9443. Factor -12/7*b + a*b**2 + 10/7.
2*(b - 5)*(b - 1)/7
Suppose 37*y + 153 = 153. Let a be 14/(-40) + 18*(-5)/(-120). Factor 0*d + 2/5*d**2 - a*d**3 + y.
-2*d**2*(d - 1)/5
Let v(s) = -13*s**3 + 3188*s**2 + 2*s + 2. Let h(m) = 360*m**3 - 86075*m**2 - 55*m - 55. Let y(k) = -2*h(k) - 55*v(k). Factor y(j).
-5*j**2*(j + 638)
Let j = -691/546 + 17/14. Let l = 12/65 + j. Factor 14/15*w + 4/15 + 2/3*w**3 + 6/5*w**2 + l*w**4.
2*(w + 1)**3*(w + 2)/15
Let g = -216001/3 - -72001. Suppose 2/3*u**4 + g*u**5 + 0 + 0*u - 6*u**2 - 6*u**3 = 0. What is u?
-3, -1, 0, 3
Let v(r) be the third derivative of 7*r**8/432 - 361*r**7/270 - 89*r**6/15 - 254*r**5/135 + 298*r**4/27 - 8*r**3 - 3258*r**2. Solve v(o) = 0.
-2, -1, 2/7, 54
Let s be ((-20 - 5) + 23)*-1. Factor 9/5*p - 3/5*p**3 - 6/5*p**s + 0.
-3*p*(p - 1)*(p + 3)/5
Let u(s) = s**3 - 3*s**2 - 2*s + 10. Let j be u(3). Solve 344 - 16*c**2 - 25*c**j + 220*c - 147 + 35*c**5 - 137 - 19*c**2 - 255*c**3 = 0.
-2, -1, -2/7, 1, 3
Let t(h) = -12*h**2 - 2814*h + 659868. Let a(c) = 3*c**2 + 3. Let z(v) = -5*a(v) - t(v). Factor z(n).
-3*(n - 469)**2
Let o(d) be the second derivative of 0*d**2 + 102*d + 1/75*d**6 - 11/50*d**5 + 4/3*d**4 + 0 - 16/5*d**3. Factor o(h).
2*h*(h - 4)**2*(h - 3)/5
Let l(c) be the second derivative of 0 + 2/27*c**4 - 4/9*c**2 + 1/27*c**3 - 122*c - 1/90*c**5. Suppose l(g) = 0. What is g?
-1, 1, 4
Let p(q) be the third derivative of 5*q**8/336 - 17*q**7/42 + 43*q**6/24 + 241*q**5/12 + 175*q**4/3 + 250*q**3/3 - 70*q**2 - 1. Suppose p(n) = 0. What is n?
-1, 10
Let j be (0 - 0)/(-6 - -4). Let u = 435 - 426. Factor 15*f**4 + 7*f**5 - u*f**3 - 16*f**5 + 6*f**5 + j*f**5 - 27*f**2.
-3*f**2*(f - 3)**2*(f + 1)
Suppose -52*m - 46*m + 10 = -93*m. Let i(s) be the third derivative of 0 + 0*s**3 + 0*s - 1/30*s**4 - 14*s**m + 0*s**5 + 1/600*s**6. Factor i(p).
p*(p - 2)*(p + 2)/5
Factor -668/5 - 2/5*i**2 + 338/5*i.
-2*(i - 167)*(i - 2)/5
Let y(b) be the second derivative of -b**8/63840 - b**7/23940 + b**6/6840 + b**5/1140 - 53*b**4/4 + 87*b. Let k(g) be the third derivative of y(g). Factor k(q).
-2*(q - 1)*(q + 1)**2/19
Let k be 28 - 1564 - (2 + -5 + 4). Let y = 1539 + k. Factor 9/2*i**3 + 12*i**y + 0 + 1/2*i**4 + 8*i.
i*(i + 1)*(i + 4)**2/2
Let w(h) be the second derivative of -h**8/6720 - h**7/28 - 15*h**6/4 - 225*h**5 - 21*h**4/2 + 170*h. Let d(y) be the third derivative of w(y). Solve d(g) = 0.
-30
Let b(f) = -18*f**4 - 6*f**3 + 52*f**2 + 44*f - 376. Let v(o) = -4*o**4 - o**3 - o**2 + 3*o + 2. Let m(x) = b(x) - 4*v(x). Factor m(y).
-2*(y - 4)*(y - 3)*(y + 4)**2
Factor 0 - 9/7*w**2 + 1/7*w**5 - 1/7*w**3 + 9/7*w**4 + 0*w.
w**2*(w - 1)*(w + 1)*(w + 9)/7
Let k(q) be the second derivative of 1/14*q**7 + 3/5*q**5 + 0 - 5/2*q**3 + 1/2*q**4 - 2/5*q**6 + 3*q**2 + 15*q. Factor k(f).
3*(f - 2)*(f - 1)**3*(f + 1)
Let f(j) be the second derivative of -j**4/138 + 20*j**3/23 + 124*j**2/23 + 2*j - 132. Factor f(b).
-2*(b - 62)*(b + 2)/23
Let m be (46/(-4))/((-10)/4) + -4. Let b = 71 + -352/5. Factor -m*o + 6/5*o**3 - 3/5*o**5 + 6/5*o**2 - 3/5 - b*o**4.
-3*(o - 1)**2*(o + 1)**3/5
Let x(l) = 40*l**3 - 165*l**2 + 160*l + 325. Let k(j) = 47*j**3 - 164*j**2 + 161*j + 324. Let q(s) = -5*k(s) + 6*x(s). Factor q(d).
5*(d - 33)*(d - 2)*(d + 1)
Let a(o) be the second derivative of -1/120*o**4 - 5/3*o**3 - 36 - 2*o - 125*o**2. Let a(j) = 0. Calculate j.
-50
Let b(l) be the third derivative of 0 - 10/3*l**3 + 65/24*l**4 + 0*l - 5/4*l**5 + 50*l**2 + 7/24*l**6 - 1/42*l**7. Determine a, given that b(a) = 0.
1, 4
Let u be 308/32 + -8 + (11/8 - 1). Let a(m) be the first derivative of 4/33*m**3 - 5/11*m**u + 1/33*m**6 + 2/11*m**4 - 8/55*m**5 + 4/11*m - 13. Solve a(j) = 0.
-1, 1, 2
Let c = 5537 + -968981/175. Let a = c + 578/525. Solve -14/15*m**2 + 0 - 2/5*m**4 - a*m**3 - 4/15*m = 0.
-1, -2/3, 0
Let t = 18133921/840 - 21588. Let q(l) be the third derivative of 0*l**3 + 0*l - 1/120*l**5 + 0 + 0*l**4 + 6*l**2 + t*l**7 - 1/480*l**6. Factor q(m).
m**2*(m - 2)*(m + 1)/4
Let j(z) = -59*z - 2. Let t be j(2). Let r = 123 + t. Factor 0 - 1/5*i + 1/10*i**r - 1/10*i**2.
i*(i - 2)*(i + 1)/10
Let x(f) be the first derivative of -f**5/130 + f**4/39 + f**3/13 + 76*f - 27. Let u(b) be the first derivative of x(b). Factor u(v).
-2*v*(v - 3)*(v + 1)/13
Let m(g) = -25*g**2 - 178*g - 39. Let f(v) = -8*v**2 - 60*v - 12. Let a(r) = 13*f(r) - 4*m(r). Find l such that a(l) = 0.
-17, 0
Let t = 162/71 + -2845/1278. Let h(b) be the first derivative of -4/9*b + t*b**4 - 8/27*b**3 + 5/9*b**2 - 12. Determine j so that h(j) = 0.
1, 2
Let m(r) be the first derivative of 0*r - 14/9*r**3 - 7 + 7/36*r**6 - 1/15*r**5 - 49/24*r**4 + r**2. Suppose m(k) = 0. Calculate k.
-2, -1, 0, 2/7, 3
Factor 41543*s + 150*s**2 + 5*s**3 - 5*s**4 - 41543*s - 40*s**3.
-5*s*