or r(k).
-2*(k - 14)*(k + 33)/5
Let z(q) be the first derivative of -q**4/38 + 200*q**3/19 - 297*q**2/19 - 1196*q/19 + 3817. Let z(d) = 0. What is d?
-1, 2, 299
Suppose n - 22 = 4*h, 0 = -9*n + 14*n - 3*h - 161. Factor -120*f - 27*f**2 - 15 + 1 - n.
-3*(f + 4)*(9*f + 4)
Let i(d) be the second derivative of -1/6*d**4 + 8/3*d**3 - d - 12*d**2 + 56. Factor i(l).
-2*(l - 6)*(l - 2)
Suppose -14*i + 8*i + 146634 = 0. Factor -100 + 24449*m**2 + 3*m**3 - i*m**2 + 2*m**3 - 95*m.
5*(m - 4)*(m + 1)*(m + 5)
Let b(p) be the third derivative of -p**7/630 + 37*p**6/72 + 8*p**2 - 38*p. Factor b(q).
-q**3*(q - 185)/3
Suppose -r**4 + 57*r**3 - 143748 - 27477*r - 85*r**3 - 75*r**3 - 3663*r**2 - 9815*r - 11713*r = 0. Calculate r.
-33, -4
Let d(f) = 29*f**2 - 5974*f - 1482059. Let r(q) = -47*q**2 + 8962*q + 2223089. Let i(j) = -8*d(j) - 5*r(j). What is k in i(k) = 0?
-497
Let d(j) be the second derivative of 6/5*j**2 + 0 - 189*j + 1/30*j**4 - 1/3*j**3. Determine f so that d(f) = 0.
2, 3
Suppose -78 = -3*d - 4*b - 25, 0 = d + 2*b - 17. Let n be 0 + 8 + (-3)/1. What is z in d*z**2 - n*z + 5*z**3 + 12*z**2 - 31*z**2 = 0?
-1, 0, 1
Let q be (-2)/((-434)/108 + 4). Determine w so that -11*w**2 + 2*w**2 + 39*w + 91 + 11 + q*w = 0.
-2/3, 17
Suppose 0 = 4*h - 206 + 98. Let k(w) = -w**3 + 28*w**2 - 31*w + 110. Let z be k(h). Solve 0 + 3/2*a - 1/2*a**3 + a**z = 0.
-1, 0, 3
Suppose 13*p = -13*p. Suppose p = -153*s + 142*s + 33. Factor 0 - 3/4*w**2 - 5/4*w**s + 1/2*w.
-w*(w + 1)*(5*w - 2)/4
Let p(s) be the second derivative of 1/5*s**4 - 2/5*s**3 - 143 + 9/100*s**5 + 0*s**2 - 2*s - 2/25*s**6 + 1/70*s**7. Let p(v) = 0. What is v?
-1, 0, 1, 2
Let w(y) = 2*y**2 + y - 4. Let c(t) = -44*t**2 - 320*t + 96. Let s(g) = c(g) + 24*w(g). Suppose s(l) = 0. Calculate l.
0, 74
Let b(o) be the third derivative of -17*o**6/10 + 2*o**5/15 + 34*o**4 - 16*o**3/3 - 723*o**2 + 2*o. Factor b(x).
-4*(x - 2)*(x + 2)*(51*x - 2)
Let r = 20 + -18. Suppose 0 = -r*o + 4*o - 222. Factor -o*z + 64 + 3*z**2 + 368 + 183*z.
3*(z + 12)**2
Let m(y) be the first derivative of y**3 + 792*y**2 + 209088*y + 1453. Factor m(q).
3*(q + 264)**2
Let t be (-1025)/(-1435) + (-460)/(-28). Factor 114/7 - t*d + 6/7*d**2.
6*(d - 19)*(d - 1)/7
Let i(j) = 2*j**2 - 431*j - 5. Let n(z) = 3*z**2 - 432*z - 6. Let m(d) = 6*i(d) - 5*n(d). Solve m(a) = 0 for a.
-142, 0
Let n(f) be the second derivative of -242/17*f**2 - 4/17*f**4 + 1/170*f**5 + 55/17*f**3 - f - 20. Suppose n(t) = 0. Calculate t.
2, 11
Let m = -47 + 32. Let h be (-9)/m*(20 + -2 + 2). Factor h*s**3 - 24*s**3 - 5*s**4 - 20*s**2 - 8*s**3.
-5*s**2*(s + 2)**2
Let k(n) = -9*n**2 - 2248*n - 315844. Let c(i) = 8*i**2 + 2248*i + 315844. Let u(w) = -5*c(w) - 4*k(w). What is s in u(s) = 0?
-281
Let i = 37 - 52. Let c be 6 + 88/i + (-133)/(-15). Solve v**3 + 3*v**2 - v**2 - 13*v + c*v + 5*v = 0.
-1, 0
Let o(s) be the third derivative of -s**5/20 + 7*s**4/2 - 26*s**3 - 2455*s**2. Factor o(z).
-3*(z - 26)*(z - 2)
Suppose -3/4*z**4 + 12 + 3/4*z**3 - 21*z + 9*z**2 = 0. Calculate z.
-4, 1, 2
Let r(v) be the second derivative of v**8/1344 + v**7/420 - v**5/120 - v**4/96 - 17*v**2/2 - v - 43. Let q(l) be the first derivative of r(l). Factor q(g).
g*(g - 1)*(g + 1)**3/4
Suppose 6*f - 5 = 13. Let o be -1*(2/2 - 3). Let 2*u**5 - 7*u**5 - 7*u**o + 5*u + 10*u**4 - f*u**2 = 0. Calculate u.
-1, 0, 1
Suppose -241*k + 296 = 46 - 473. Suppose 8/21*p + 0*p**k - 8/21*p**5 - 34/21*p**2 + 34/21*p**4 + 0 = 0. What is p?
-1, 0, 1/4, 1, 4
Let z(x) be the second derivative of 15/2*x**4 + 3/5*x**5 - 6*x**3 + 73*x - 21/2*x**2 + 0 - 3/2*x**6. Find u such that z(u) = 0.
-7/5, -1/3, 1
Let d be 609/232 - (1 - (-22)/(-16)). Determine q so that 2*q**d + 676 - 19*q**3 - 572*q + 0*q**3 - 100*q**2 + 13*q**3 = 0.
-13, 1
Let c(l) be the second derivative of 7*l**4/30 + l**3/3 - 2*l**2/5 + 688*l. Factor c(k).
2*(k + 1)*(7*k - 2)/5
Let y(h) be the first derivative of -2*h**3/51 + 7*h**2/17 + 60*h/17 + 1091. Determine x so that y(x) = 0.
-3, 10
Let b = 109 + -52. Let f = b - 55. Factor -7*d**f + 4*d**2 - 5*d - d.
-3*d*(d + 2)
Let g(t) be the third derivative of 1/2*t**3 + 0*t - 1/20*t**5 + 1/120*t**6 - 75*t**2 + 0 - 1/24*t**4. Factor g(b).
(b - 3)*(b - 1)*(b + 1)
Let w(q) = q**2 + 14*q + 23. Let i(k) = -2*k + 2 + 7 - 5 - 3. Let o(u) = -4*i(u) - 2*w(u). Suppose o(l) = 0. Calculate l.
-5
Let a be ((2/11)/1)/(39/858). Let j(g) be the second derivative of 0*g**2 + 0 - 1/18*g**a - 4*g + 1/60*g**5 + 1/18*g**3. Factor j(x).
x*(x - 1)**2/3
Suppose -284*c + 82 = -185 - 585. Factor -18 - 32*g + 70/9*g**2 - 4/9*g**c.
-2*(g - 9)**2*(2*g + 1)/9
Solve 1832/5*t**2 - 159/5*t**3 - 1296/5 - 4716/5*t + 4/5*t**4 = 0 for t.
-1/4, 4, 18
Suppose 9*z**2 - 106*z + 26*z**2 + z**4 - 607*z**3 + 629*z**3 - 120 = 0. What is z?
-20, -3, -1, 2
Let p(n) = 3*n**2 - n - 1. Let q(g) = 4*g**3 - 22*g**2 - 126*g + 2. Let k(z) = -2*p(z) - q(z). Factor k(t).
-4*t*(t - 8)*(t + 4)
Suppose r + 448 = -3*r - 4*w, -2*w + 553 = -5*r. Let h = 113 + r. Factor -6*l + 3 + 9*l**2 - 5*l - 3*l**h - 10*l**2.
-(l + 3)*(4*l - 1)
Suppose -26 = 48*i - 61*i. Let y(z) be the second derivative of -1/5*z**5 - 1/36*z**3 + 0*z**i + 4/45*z**6 + 0 + 1/8*z**4 + 18*z. Factor y(a).
a*(a - 1)*(4*a - 1)**2/6
Let u = 3459/5 + -691. Let y(k) be the first derivative of 2/15*k**3 + u*k**2 + 8/5*k + 17. Solve y(w) = 0 for w.
-2
Suppose 33 = -9*q + 87. Determine j, given that -2*j**2 + 6*j + 30 + q + 12*j - 4*j = 0.
-2, 9
Let i(o) be the first derivative of o**6/30 - 23*o**5/25 + 13*o**4/10 + 250*o**3/3 + 465*o**2/2 + 225*o + 3788. Let i(k) = 0. Calculate k.
-5, -1, 15
Let y(d) = 11*d + 0*d**3 + d**3 - 2*d**2 + 3 + 14*d**2. Let l be y(-11). Factor -p**2 + 4*p + 3*p**l - 6*p - p**5 + 10*p**4 - 9*p**4.
-p*(p - 2)*(p - 1)*(p + 1)**2
Let b(s) be the third derivative of 11/10*s**4 - 1 + 0*s + 13/15*s**3 - 3/175*s**7 - 90*s**2 - 19/50*s**6 + 22/75*s**5. Suppose b(m) = 0. Calculate m.
-13, -1/3, 1
Let f be (-1)/21*-105*((-60)/25)/(-6). Factor -2/7*x**5 + 0*x**f + 0 - 10/7*x**3 + 0*x + 12/7*x**4.
-2*x**3*(x - 5)*(x - 1)/7
Let w(n) be the first derivative of n**4/26 - 58*n**3/39 + 215*n**2/13 - 950*n/13 - 268. Factor w(i).
2*(i - 19)*(i - 5)**2/13
Suppose -33*j - 7368 = -340*j. Let n(a) be the first derivative of 2/5*a**3 + j - 3/5*a**2 + 0*a. Factor n(c).
6*c*(c - 1)/5
Let z(f) = -9*f**2 - 30*f - 33. Let d(x) = 11*x**2 + 41*x + 33. Let p(c) = 4*d(c) + 5*z(c). Determine a, given that p(a) = 0.
3, 11
Let b(j) be the second derivative of -1/150*j**6 + 0*j**3 - 1 + 52*j - 1/12*j**4 + 3/50*j**5 + 0*j**2. Solve b(h) = 0 for h.
0, 1, 5
Suppose -114*c = -98*c - 101*c + 170. Determine u so that -2/3*u - 1/6*u**c + 0 = 0.
-4, 0
Let j(m) = -3*m**2 + 38*m - 22. Suppose -36 = -25*i + 22*i. Let l be j(i). Solve 4/13 - 6/13*d**l - 2/13*d = 0.
-1, 2/3
Suppose c = -5*i - 26, -5*c - 27*i + 15 = -31*i. Let x(y) = y**2 + y + 1. Let v(a) = -35*a**2 + 70*a - 25. Let r(g) = c*v(g) - 10*x(g). Factor r(m).
5*(m - 3)*(5*m - 1)
Let t(g) be the second derivative of 2*g**3 + 0 + 68*g + 0*g**2 - 6/5*g**5 - 1/6*g**4 - 1/3*g**6. Suppose t(z) = 0. Calculate z.
-2, -1, 0, 3/5
Let p(h) be the first derivative of h**4/3 + 148*h**3/9 + 140*h**2 + 538. Factor p(l).
4*l*(l + 7)*(l + 30)/3
Let o(b) = -b. Let h(y) = 2*y**3 + 34*y**2 - 333*y. Let k(l) = -h(l) - 3*o(l). Find r such that k(r) = 0.
-24, 0, 7
Let n = 57 + -55. Factor 290 + 83 + 3*f**n + 49 + 661 - 114*f.
3*(f - 19)**2
Let u(q) be the third derivative of q**8/672 - q**7/105 + 2*q**5/15 - q**4/3 - 1509*q**2. Solve u(x) = 0 for x.
-2, 0, 2
Let n be (-3 + 0)*3/9*-4. Suppose 0 = -4*j - n*j + 24. Factor 6*d**2 - j*d**3 - 12*d**3 + 36*d**4 - 27*d**4.
3*d**2*(d - 1)*(3*d - 2)
Let x be 14 + 3 - (88 - 74). Let a(k) be the first derivative of x*k**2 + 5/3*k**3 + 0*k + 1/4*k**4 + 7. Factor a(u).
u*(u + 2)*(u + 3)
Factor -x**3 + 39*x**2 + 63242*x + 3*x**3 - 5*x**3 - 63152*x.
-3*x*(x - 15)*(x + 2)
Let v(j) be the first derivative of -4*j**3/3 + 6308*j**2 - 9947716*j - 12029. Suppose v(i) = 0. What is i?
1577
Let m(z) be the third derivative of z**6/480 + z**5/5 + 8*z**4 + 5*z**3/2 + 13*z**2. Let j(r) be the first derivative of m(r). Factor j(l).
3*(l + 16)**2/4
Let r(j) = 15*j**3 + 20*j**2 - 447*j + 422. Let b(m) = -335*m**3 - 440*m**2 + 9835*m - 9285. Let k(d) = -2*b(d) - 45*r(d). Determine v, 