**5/35 + 243*c**2 - c. Suppose h(x) = 0. What is x?
-1, 0, 2, 22
Let w(h) be the second derivative of h**9/5040 - h**7/168 + h**5/10 - 87*h**4/4 - 25*h - 8. Let i(o) be the third derivative of w(o). Solve i(s) = 0 for s.
-2, -1, 1, 2
Let v(w) be the second derivative of 14*w**2 - 1/2*w**3 + 19 - 1/12*w**4 - 5*w. Suppose v(b) = 0. What is b?
-7, 4
Let l(d) be the first derivative of 7/2*d + 162 + 1/30*d**5 - 1/2*d**4 + 7/3*d**3 - 13/3*d**2. Let l(o) = 0. What is o?
1, 3, 7
Let x(y) be the third derivative of y**6/320 + 17*y**5/160 - 13*y**4/8 + 33*y**3/4 + 9*y**2 - 42. Let x(q) = 0. What is q?
-22, 2, 3
Let m be -1 + 0 - (1 - 15/3). Let i be (-6*1)/((-3 - 1) + m). Determine t so that -10*t - t**4 - 4 + 0 + 10*t**3 + i*t**4 - 1 = 0.
-1, 1
Factor 14*o**3 - 222761*o - 5*o**3 + 3 + 220103*o + 3981*o**2 - 3.
3*o*(o + 443)*(3*o - 2)
Let t(x) be the second derivative of x**5/6 + x**4/36 - 5*x**3/9 - x**2/6 + 1527*x. Determine s, given that t(s) = 0.
-1, -1/10, 1
Suppose -1 = t, 5*d - 23 = 3*t - 0*t. Let k be (-250)/1025*82*(-2)/220. Solve -4/11*c**2 - 1/11*c**3 + 3/11*c + k*c**d + 0 = 0 for c.
-3/2, 0, 1
Suppose -11*o + 16*o = 10, 3*u - 4*o = 1. Let n be ((-435)/58)/((-6)/4). Suppose 0 + 0*g - 6/11*g**4 - 2/11*g**u + 2/11*g**n + 6/11*g**2 = 0. Calculate g.
-1, 0, 1, 3
Let g(s) be the third derivative of -7*s**5/60 - 37*s**4/24 + 71*s**3/3 - 31*s**2. Let j(f) = 30*f**2 + 147*f - 567. Let i(t) = -21*g(t) - 5*j(t). Factor i(q).
-3*(q - 7)**2
Let a(w) be the second derivative of w**4/3 - 608*w**3/3 + 46208*w**2 - 277*w + 1. Factor a(z).
4*(z - 152)**2
Let z(r) be the first derivative of -5*r**4/4 - 490*r**3/3 - 5750*r**2 + 25000*r + 6355. Let z(n) = 0. Calculate n.
-50, 2
Suppose -3*l + 2*l + 19 = 0. Suppose 11*r - 25 - l = 0. Solve -4*y**2 + 2*y**5 - 17*y**4 - y**2 - y**3 + 22*y**r - y**5 = 0 for y.
-5, -1, 0, 1
Let i(m) be the third derivative of m**5/300 - m**4/120 - m**3/15 - 3*m**2 + 266*m. Let i(l) = 0. What is l?
-1, 2
Let j(s) = -3*s**3 - 13*s**2 + 61*s - 30. Let h(v) = -15*v**3 - 63*v**2 + 303*v - 153. Let o(m) = -5*h(m) + 24*j(m). Factor o(t).
3*(t - 3)*(t - 1)*(t + 5)
Let l(s) = -15*s**2 - 3530*s + 3045. Let o(n) = -n**2 - 23*n - 1. Let w(z) = l(z) - 20*o(z). Factor w(r).
5*(r - 613)*(r - 1)
Let a(r) = r**3 - 51*r**2 + 95*r - 12. Let d be a(50). Let k = d - 2235. Let l**2 - l - 1/4*l**k + 0 = 0. What is l?
0, 2
Let x = -279 + 281. Suppose -3*l + s = -0*s - 11, -4*l = -x*s - 18. Solve 0*g**l + 2/5*g + 0 - 2/5*g**3 = 0.
-1, 0, 1
Let k(q) be the first derivative of 1/2*q**6 - 4*q**3 - 3/2*q**4 + 6*q + 6/5*q**5 + 78 + 3/2*q**2. Find c, given that k(c) = 0.
-2, -1, 1
Determine g, given that 95*g**4 - 390*g - 1378*g**2 - 400*g**4 - 1805*g**3 + 35*g**5 - 477*g**2 = 0.
-3, -1, -2/7, 0, 13
Let f be (-58)/(-210) + (10 - (-2888)/(-285)). Let o(b) be the first derivative of f*b**3 + 6/7*b + 9/14*b**2 - 31. Suppose o(m) = 0. Calculate m.
-2, -1
Suppose 3*k + 4*u = 44, -k - 8 = -2*k + 2*u. Suppose 5*p = 5*o - k - 3, 5*o - 15 = 3*p. Suppose -5*y**2 + 5*y**2 - o*y - 2 - y**2 = 0. What is y?
-2, -1
Let v(q) be the first derivative of -q**5/660 - 13*q**4/132 - 80*q**2 - 48. Let a(m) be the second derivative of v(m). Suppose a(r) = 0. Calculate r.
-26, 0
Let j be (2 - 3) + (1375/132 - 9). Let g(y) be the second derivative of -1/4*y**5 - 17*y + 0*y**2 + 0 + 0*y**3 - j*y**4. Factor g(c).
-5*c**2*(c + 1)
Let a(u) be the first derivative of -2*u**5/45 - u**4/12 + 2*u**3/27 + 637. Factor a(x).
-x**2*(x + 2)*(2*x - 1)/9
Let u(k) = -k**2 - 22*k + 352. Let p(z) = -z. Let r(b) = 42*p(b) + 3*u(b). Find y such that r(y) = 0.
-44, 8
Find y, given that -27700*y**3 + 27696*y**3 - 429915 - 544640*y - 1486*y**2 + 4442*y**2 - 117685 = 0.
-1, 370
Suppose g - 12*f = -14*f + 10, -4*g = 5*f - 34. Suppose -1 + g = 5*r - 5*j, r = 4*j - 2. Find s such that s + 0 + 1/4*s**4 + 2*s**r + 5/4*s**3 = 0.
-2, -1, 0
Determine k so that -110416/3*k**3 - 153600 - 568328/3*k**2 - 2/3*k**5 - 305920*k + 950/3*k**4 = 0.
-2, -1, 240
Let f(q) = 275*q**2 - 60*q + 73. Let z(o) = -61*o**2 + 15*o - 18. Let y(j) = -4*f(j) - 18*z(j). Determine d so that y(d) = 0.
-16, 1
Let p(v) be the third derivative of v**5/80 + 3341*v**4/16 + 11162281*v**3/8 + 11293*v**2. Suppose p(m) = 0. What is m?
-3341
Let b(q) be the first derivative of -q**4/9 - 2*q**3 + 24*q**2 - 106*q - 33. Let p(t) be the first derivative of b(t). Factor p(u).
-4*(u - 3)*(u + 12)/3
Let w(z) be the third derivative of z**8/504 - 64*z**7/315 + 98*z**6/15 - 528*z**5/5 + 996*z**4 - 5760*z**3 - 2365*z**2. Factor w(l).
2*(l - 40)*(l - 6)**4/3
Let g(p) be the first derivative of p**3/12 + 79*p**2 + 315*p + 1104. Factor g(x).
(x + 2)*(x + 630)/4
Let m(p) be the second derivative of -p**8/36960 - p**7/6930 + p**6/1320 + 38*p**4/3 - 59*p. Let w(a) be the third derivative of m(a). Factor w(y).
-2*y*(y - 1)*(y + 3)/11
Let c(y) be the second derivative of y**4 + 3/10*y**6 + 0 + 0*y**3 + 0*y**2 + 1/28*y**7 + 9*y + 9/10*y**5. Factor c(f).
3*f**2*(f + 2)**3/2
Let u(s) be the second derivative of -s**6/70 + 3*s**5/35 - 3*s**4/14 + 2*s**3/7 - 3*s**2/14 + 5091*s. Factor u(d).
-3*(d - 1)**4/7
Let x = -346 - -370. Factor -2*d**2 - x + 5 + 4 + 1 + 16*d.
-2*(d - 7)*(d - 1)
Let r = 3488 - 6624. Let q be ((-7)/(r/48))/((-12)/(-14)). Let -q*d**2 - 1/8*d + 0 = 0. What is d?
-1, 0
Let h(f) be the third derivative of -40/9*f**3 + 10*f**2 + 0*f - 34/9*f**4 + 7/45*f**5 + 1. Factor h(m).
4*(m - 10)*(7*m + 2)/3
Let b(n) = 3 + n**3 - 10*n**2 - n**3 + 1 + n**3 - 11*n. Let h be b(11). Solve -30*o + 345*o**5 + h*o**2 + 62*o**3 - 16*o**4 - 18 + 30*o**2 - 377*o**5 = 0.
-1, -3/4, 1
Let c be (1 - -6) + 4 + (-3 - 1). Suppose 0*j + 12 = 4*j. Solve -10 + 4*i**3 - 5*i**j + c*i + 11 + 5 = 0.
-2, -1, 3
Let g = 4391 + -2583. Find u, given that 8*u**4 - 1808*u + 12*u**5 + g*u = 0.
-2/3, 0
Let g = 172/41 - 1679/410. Let p(o) be the second derivative of 0*o**2 + 4*o + g*o**5 + 4/27*o**3 + 0 + 10/27*o**4. Determine k so that p(k) = 0.
-2, -2/9, 0
Let p(v) = -v**3 - v**2 + v - 1. Let h(r) = -r**3 + 5*r**2 - 7*r - 3. Let b be (-5)/(15/12) - -7. Let n(m) = b*p(m) - h(m). Factor n(u).
-2*u*(u - 1)*(u + 5)
Let i(a) = -20*a**2 + 4860*a - 616. Let k(c) = -4*c**2 + 972*c - 132. Let t(g) = -3*i(g) + 14*k(g). Factor t(o).
4*o*(o - 243)
Suppose 2*c - 1 = 3*o, -12*o = 4*c - 10*o - 10. Factor -2/3*n - 8/15 - 2/15*n**c.
-2*(n + 1)*(n + 4)/15
Let z = -1587803/2 - -793908. Determine b so that -z - 6*b + 27/2*b**2 - b**3 = 0.
-1/2, 1, 13
Determine t, given that -679 - 661 - 41750*t**2 + 39076*t - 16882*t**2 + 36*t**3 - 5172 = 0.
1/3, 1628
Let h(k) be the third derivative of -1/2*k**5 - 5/24*k**4 - 78*k + 0 - 2*k**2 - 2/21*k**7 - 3/8*k**6 + 0*k**3. Factor h(d).
-5*d*(d + 1)**2*(4*d + 1)
Let y = -139539 + 1251605/9. Let k = 472 + y. Factor 2/3*n**2 - 2/9*n**3 + k - 2/3*n.
-2*(n - 1)**3/9
Let d = 534 - 1594/3. Let b(f) be the first derivative of -d*f**3 + 0*f + 16 + 10*f**2 + 1/5*f**4. Factor b(q).
4*q*(q - 5)**2/5
Let u(c) be the third derivative of -c**6/660 - 2*c**5/15 - 51*c**4/11 - 864*c**3/11 - 17*c**2 - c. Suppose u(p) = 0. Calculate p.
-18, -8
Suppose 2*q = 5*t + 2, 22*t + 3*q = 24*t + 14. Let s(p) be the second derivative of 0 + 1/3*p**4 - 32*p + 2/3*p**3 - 4*p**t. Solve s(w) = 0 for w.
-2, 1
Let r(t) be the second derivative of 1/10*t**5 + 7/3*t**3 + 67*t + 0 + 4/3*t**4 + 0*t**2. Let r(d) = 0. What is d?
-7, -1, 0
Suppose -1085*i + 261*i = 5 - 5. Factor i + q**3 - q - 1/2*q**2 + 1/2*q**4.
q*(q - 1)*(q + 1)*(q + 2)/2
Let i = 66/655 - -1833/1310. Let x(g) be the first derivative of -1/2*g**6 + 2*g**3 - 27 + i*g**4 - 3/2*g**2 - 3/5*g**5 - 3*g. Factor x(f).
-3*(f - 1)**2*(f + 1)**3
Let b(i) = 4*i**3 - 26*i**2 + 14*i - 9. Let k be b(6). Let t(q) be the second derivative of 0*q**k - 6*q**2 + 3/4*q**4 - 5*q + 0 - 3/20*q**5. Factor t(n).
-3*(n - 2)**2*(n + 1)
Let d(v) be the first derivative of -5*v**6/6 - 2*v**5 + 20*v**4 + 10*v**3/3 - 75*v**2/2 - 226. Find a, given that d(a) = 0.
-5, -1, 0, 1, 3
Factor 826*a - 613187 - 2*a**2 + 442618 + a**2.
-(a - 413)**2
Factor 1/6*d**4 - 19*d + 73/6*d**2 + 20/3*d**3 + 0.
d*(d - 1)*(d + 3)*(d + 38)/6
Let a be 1 + (3 + 5 + -1 - 5). Solve -42*w**4 + 39*w + 6*w + 238*w**a + 200 + 2*w**5 - 256*w - 29*w - 158*w**2 = 0.
-1, 1, 10
Suppose -2*k - 4 = -4*k. Suppose t = -2*c + 148, 