**2 - 2*x - 837. Solve t(q) = 0.
-1, 1, 11
Let b be 10/405*(-24)/(-128). Let y(z) be the third derivative of 1/630*z**7 + 0 - b*z**4 + 11/540*z**5 + 0*z - 11/1080*z**6 - 11*z**2 - 1/27*z**3. Factor y(q).
(q - 2)*(q - 1)**2*(3*q + 1)/9
Let c = 41 + -47. Let j be 4/c - (-20)/15*5. Factor 2*v**5 + v**5 + 3*v**4 - 3*v**2 - j*v**3 + 3*v**3.
3*v**2*(v - 1)*(v + 1)**2
Let i(h) = h**2 - h + 3. Let b(l) = l**2 - 2*l + 2. Let s(w) = -6*b(w) + 5*i(w). Let f be s(7). Factor 2*q**2 - q**f + 2*q**5 + 7*q**3 + 416*q**4 - 410*q**4.
2*q**2*(q + 1)**3
Let q(x) be the third derivative of x**8/1176 + x**7/21 + 43*x**6/140 + 157*x**5/210 + 31*x**4/42 - 34*x**2 + 8*x + 3. Suppose q(y) = 0. What is y?
-31, -2, -1, 0
Let r(x) be the first derivative of -3*x**4/16 - 97*x**3/2 + 3*x**2/8 + 291*x/2 - 14741. Find y such that r(y) = 0.
-194, -1, 1
Let m = -9171/4 + 2293. Let h(u) be the first derivative of 0*u + 1/5*u**5 - m*u**4 + 1/6*u**6 + 19 + 0*u**2 - 1/3*u**3. Solve h(r) = 0.
-1, 0, 1
Let s(k) be the second derivative of k**9/120960 - k**8/26880 - k**7/6720 - k**4/4 + k**3/6 + 79*k. Let j(u) be the third derivative of s(u). Factor j(d).
d**2*(d - 3)*(d + 1)/8
What is l in 17/2*l**2 + 245/2*l - 1/2*l**3 + 675/2 = 0?
-5, 27
Let b(o) = o**3 - 14*o**2 + 22*o + 32. Let n be b(12). Let a be 30/n + (-5)/(140/21). Find h such that 4/3*h**a - 8/3*h**2 + 8/3 - 4/3*h = 0.
-1, 1, 2
Let b be ((-3)/(-14))/((-32)/(-448)). Let t(a) be the second derivative of 0 + 0*a**2 - 4*a + 1/9*a**b - 1/36*a**4. Find s such that t(s) = 0.
0, 2
Let p(i) = -6*i**4 - 93*i**3 - 111*i**2 - 72*i - 6. Let j(d) = 14*d**4 + 185*d**3 + 226*d**2 + 144*d + 13. Let f(x) = -6*j(x) - 11*p(x). What is z in f(z) = 0?
-2, -1/2, -1/3
Determine w so that -18/13*w**4 - 12/13*w**3 + 40/13*w**2 + 0 - 16/13*w = 0.
-2, 0, 2/3
Suppose 2*w - 193 = -c - 167, -4*c - 2*w + 32 = 0. Factor 1/3*a**4 + 20/3*a + 2/3*a**c - 8 - 5/3*a**3.
(a - 3)*(a - 2)**2*(a + 2)/3
Let x(a) be the third derivative of -17/3*a**3 - 1/14*a**4 + 35*a**2 + 3/280*a**5 + 1/840*a**6 + 0 + 0*a. Let r(y) be the first derivative of x(y). Factor r(z).
3*(z - 1)*(z + 4)/7
Let j = -3376 - -3380. Let p(r) be the second derivative of 9*r + 0 - 1/4*r**j - 1/2*r**2 - 1/2*r**3 - 1/20*r**5. Let p(d) = 0. What is d?
-1
Determine b so that 114*b**2 + 735*b + 3*b**3 - 781 + 144*b**2 - 215 = 0.
-83, -4, 1
Let h = -46799 - -46801. Solve 2/3*m**h - 4*m + 0 = 0 for m.
0, 6
Let u = -680875/11 - -61905. Suppose -3*h - 3 = -5*i, 5*h - 5 = 5*i - 0*h. Factor -6*w**2 + u*w - 32/11 + 20/11*w**i - 2/11*w**4.
-2*(w - 4)**2*(w - 1)**2/11
Let b = -993628 - -993632. Factor 8*p**2 - 4*p**3 + 1/2*p**b + 0*p + 0.
p**2*(p - 4)**2/2
Let 3/8*y**5 - 21/2*y**3 + 15/8*y**4 - 108*y - 54 - 66*y**2 = 0. Calculate y.
-6, -2, -1, 6
Let b be 0*266/(-1862)*7/4*-2. Let a(z) be the second derivative of 14*z + b + 11/6*z**4 - 6*z**2 + 31/3*z**3. Factor a(d).
2*(d + 3)*(11*d - 2)
Let p(k) = -k**2 - 7*k + 20. Let a be p(-9). Solve 124*z**a - 61*z**2 - 61*z**2 + 16*z - 16 + 40 = 0.
-6, -2
Let b(a) = a**2 - 7*a + 8. Let k be b(3). Let c(v) = -5*v**2 + 19*v - 14. Let z(n) = -16*n**2 + 57*n - 41. Let m(i) = k*z(i) + 11*c(i). Factor m(o).
(o - 1)*(9*o - 10)
Let z be ((-5)/(-6 - 4))/((-217)/(-124)). Factor -z*m**4 + 12/7*m**2 + 0 + 0*m - 2/7*m**3.
-2*m**2*(m - 2)*(m + 3)/7
Let w = -327147 + 327150. Factor 216/17*g + 36/17*g**2 + 432/17 + 2/17*g**w.
2*(g + 6)**3/17
Suppose 499*y - 5641 - 6644 = 44*y. Find u such that -y*u**2 + 117/2*u - 3/2*u**3 - 30 = 0.
-20, 1
Let j = -280566/7 + 40082. Factor -8/7 + j*t**2 + 1/7*t**3 - 1/7*t.
(t - 1)*(t + 1)*(t + 8)/7
Let b be (-85)/(-18) + (-13005)/170 + 72. Determine u, given that 4/9 + b*u**2 - 2/3*u = 0.
1, 2
Let p(h) be the third derivative of -3*h**7/140 + 101*h**6/80 - 161*h**5/40 + 31*h**4/16 + 8*h**3 + 1141*h**2 + 2*h - 1. Solve p(r) = 0.
-1/3, 1, 32
Suppose -5*f - 385 = a, 0 = -4*a + 5*a + 4*f + 387. Let w = -391 - a. Determine m so that 0 + 0*m**2 + 4/3*m**3 + 0*m + 0*m**w - 4/3*m**5 = 0.
-1, 0, 1
Let m(w) be the second derivative of -11*w + 1/84*w**4 + 1/42*w**3 - 1/14*w**2 + 0 - 1/140*w**5. Factor m(o).
-(o - 1)**2*(o + 1)/7
Let f(y) be the third derivative of -2/21*y**7 - 1/30*y**6 + 0*y**4 + 0 + 1/3*y**5 + 0*y**3 + 1/84*y**8 + 17*y**2 + 0*y. Factor f(o).
4*o**2*(o - 5)*(o - 1)*(o + 1)
Let q be ((-115)/2)/((-75)/(-10) + -7). Let x = q + 117. Solve -35 - 16*v + 2*v**2 + 2*v**x + 15 = 0.
-1, 5
Let i(x) be the second derivative of x**5/150 + x**4/12 + 4*x**3/15 + 35*x**2 - 37*x. Let f(r) be the first derivative of i(r). Suppose f(z) = 0. Calculate z.
-4, -1
Let f(p) = 10398*p - 696666. Let k be f(67). Suppose 0 + 1/8*u**2 + k*u - 3/8*u**3 - 1/8*u**4 + 3/8*u**5 = 0. Calculate u.
-1, 0, 1/3, 1
Let u(v) be the first derivative of -8*v**2 + 0*v**3 + 0*v - 1/90*v**5 - 1/18*v**4 - 6. Let p(z) be the second derivative of u(z). Factor p(a).
-2*a*(a + 2)/3
Let q(f) be the first derivative of -1/5*f**5 - 20/3*f**3 + 1/18*f**6 - 8/3*f**4 - 16/3*f**2 + 0*f + 243. Let q(a) = 0. What is a?
-2, -1, 0, 8
Find k, given that 64 + 285*k**2 - 511 - 1861 - 1472 + 1395*k - 5*k**4 - 95*k**3 = 0.
-21, -4, 3
Let f(p) be the second derivative of 0*p**3 + 0*p**2 - 4/3*p**4 - 88*p - 1 + 1/5*p**5. Factor f(i).
4*i**2*(i - 4)
Solve 0 - 6/5*f**2 + f**3 + 1/5*f = 0 for f.
0, 1/5, 1
Let b be -1*(-2)/7*(-364)/(-52). Factor -11*p**2 + 1341*p - 24 + 38*p**b - 1386*p - 3*p**3 - 51.
-3*(p - 5)**2*(p + 1)
Suppose 48 + 0 = 24*a. Let f be (a/(-11))/(234/(-429)). Factor -f*r**2 + 2/3*r + 0.
-r*(r - 2)/3
Let o = 5717/42990 - -1/2866. Find b, given that -o*b**3 - 2/15*b**5 - 4/15*b**4 + 0 + 0*b**2 + 0*b = 0.
-1, 0
Let f = 74 - 35. Suppose -29*h + f = -48. Solve -x**h + 4/5*x + 8/5*x**2 + 0 = 0.
-2/5, 0, 2
Let o(i) be the second derivative of -i**6/165 - 3*i**5/110 + 9*i**4/22 + 9*i**3/11 - 162*i**2/11 - 258*i + 3. Solve o(r) = 0.
-6, -3, 3
Let g(f) be the second derivative of -f**6/30 + 34*f**5/15 - 83*f**2/2 + 83*f. Let y(t) be the first derivative of g(t). Suppose y(b) = 0. Calculate b.
0, 34
Suppose 2*g - 5*g = 0. Let l = 21177 + -21177. Find m such that l + g*m + 1/3*m**2 + 1/3*m**3 = 0.
-1, 0
What is k in 4162*k**2 - 1387*k**2 + 2*k**4 - 1385*k**2 - 6*k**3 - 1386*k**2 = 0?
0, 1, 2
Suppose 4802*n - 4799*n = 29478. Determine z, given that n*z - 1/2*z**4 + 34*z**3 - 83521/2 - 867*z**2 = 0.
17
Solve -39615*s**3 - 5184*s - 39975*s**3 + 79366*s**3 - 11073 + 4*s**4 + 3336*s**2 + 2325 = 0 for s.
-1, 3, 27
Let v = -119/8 - -161/8. Factor -9/2*q + 0 - v*q**3 - 3/8*q**4 - 75/8*q**2.
-3*q*(q + 1)**2*(q + 12)/8
Let q be (-2)/(((-7)/(-21))/(0 + 1)). Let j(y) = y**3 + 4*y**2 - 12*y + 5. Let u be j(q). Factor 30*b**4 - 180*b**2 + 24*b + 48*b**5 - 45*b**u + 84*b + 39*b**3.
3*b*(b - 1)**2*(b + 6)**2
Let 172*z**3 - 9*z + 153*z**4 - 27*z - 2*z**2 + 203*z**3 - 262*z**2 = 0. Calculate z.
-3, -2/17, 0, 2/3
Suppose -21*s + 31598 = 53*s. Suppose 444*j = s*j + 34. Solve 4/3 - 2/9*w**j + 2/9*w = 0.
-2, 3
Let i(k) be the first derivative of -605*k**4/4 - 109120*k**3/3 - 19810*k**2 - 3600*k + 5535. Factor i(p).
-5*(p + 180)*(11*p + 2)**2
Let 151959/4 - 327/8*v**3 - 11655/8*v**2 - 127317/8*v - 3/8*v**4 = 0. What is v?
-37, 2
Let d = 145036 + -145032. Determine g, given that 8/5*g**d + 0*g**3 - 12/5 - 34/5*g + 2/5*g**5 - 28/5*g**2 = 0.
-3, -1, 2
Suppose -374*v + 358*v + 14560 = 0. Let y be 14/(v/117) + (-2)/(-10). Factor 0*a - 2/3*a**y + 1/3*a**4 + 0*a**3 + 1/3.
(a - 1)**2*(a + 1)**2/3
Let w(g) = 10*g**2 + 2*g. Let k(s) be the third derivative of -1/3*s**5 + 1/6*s**3 + 0 - 5/24*s**4 + 12*s**2 + 0*s. Let d(f) = -4*k(f) - 7*w(f). Factor d(y).
2*(y + 1)*(5*y - 2)
Let r(d) be the first derivative of -d**5 + 545*d**4/4 - 6475*d**3 + 212195*d**2/2 + 506530*d + 5216. Determine u, given that r(u) = 0.
-2, 37
Let o = 797 - 669. Factor -37 - 8*z**2 + 168*z - 4*z**2 + 10*z**2 - z**2 - o.
-3*(z - 55)*(z - 1)
Let h = 2176/5465 - -2/1093. Let o = -106 + 106. Find x, given that 0 + 2/5*x**5 + o*x**2 + 0*x + 0*x**3 - h*x**4 = 0.
0, 1
Let m = -41/2641 + 5569/18487. Factor -m - 2/7*r**2 - 4/7*r.
-2*(r + 1)**2/7
Let 3/2*n - 1/6*n**4 - 3 - 1/6*n**3 + 11/6*n**2 = 0. What is n?
-3, -2, 1, 3
Let p(v) be the second derivative of -v**6/75 + v**5/5 - 11*v**4/10 + 8*v**3/3 - 16*v**2/5 - 3734*v. Factor p(o).
-2*(o - 4)**2*(o - 1)**2/5
Suppose -222 = 25496