7 - 236*k**2. Solve b(d) = 0.
-106, -10, -1
Suppose 1459*u - 4238 = 732*u - 1332*u - 120. Solve 1/8*a**u + 15/8*a - 2 = 0.
-16, 1
Let i(h) be the second derivative of -73/24*h**3 + 1/30*h**6 + 29/16*h**4 + 212*h - 39/80*h**5 + 21/8*h**2 + 0. Factor i(z).
(z - 7)*(z - 1)**2*(4*z - 3)/4
Let v = 102 - 100. Let w be 6/21 + 12/7. Solve 2*n + 0*n**w - 2*n**v + n**2 = 0 for n.
0, 2
Let r(i) be the first derivative of i**3/12 - i**2/2 - 117*i/4 - 488. Factor r(k).
(k - 13)*(k + 9)/4
Suppose 4*m + m = -2*n + 80, -n - 16 = -m. Suppose -21*h = -23*h + m. Factor -51*g - 16*g**2 + 12 + h*g - g.
-4*(g + 3)*(4*g - 1)
Let t = 8 - 5. Let d(i) = 237*i + 1427. Let y be d(-6). Solve 3*p**2 + 2*p + 3*p**t - p - 4*p**3 - 8 + y = 0.
-1, 1, 3
Solve -68/3*z - 2/3*z**2 - 80 = 0.
-30, -4
Let u(z) be the second derivative of -z - 3 - z**5 + 5/2*z**4 + 5/2*z**2 - 10/3*z**3 + 1/6*z**6. Suppose u(x) = 0. Calculate x.
1
Let c(p) be the third derivative of 1/540*p**6 + 1/30*p**5 + 0*p**3 + 0*p**4 + 0 + 0*p - 58*p**2. Factor c(v).
2*v**2*(v + 9)/9
Let s(y) = y**3 - 13*y**2 - 2*y - 171. Let z be s(17). Let u = -10459/11 + z. Let 2/11*j**2 - u*j**4 + 2/11*j**3 + 0 - 2/11*j**5 + 0*j = 0. What is j?
-1, 0, 1
Suppose 2*d - 211 = -3*j - 3*d, 335 = 5*j + 5*d. Suppose -63*h + j*h = -5. Let k(p) = -p**2. Let x(b) = -b**3 + 10*b**2. Let n(g) = h*k(g) + x(g). Factor n(i).
-i**2*(i - 5)
Determine u so that -15*u**2 + 344*u**5 + 28*u**3 - 24*u + 19*u**2 - 4*u**4 - 348*u**5 = 0.
-3, -1, 0, 1, 2
Let b be (-55)/187 + (-305)/(-1037). Factor -3/7*k**2 + b - 6/7*k.
-3*k*(k + 2)/7
Let t(n) = -n**3 + 51*n**2 + 178*n - 859. Let p be t(54). Factor -12/7*u**3 + 0 + 16/7*u**4 - 50/7*u - 2/7*u**p - 80/7*u**2.
-2*u*(u - 5)**2*(u + 1)**2/7
Factor -453*f**2 + 112*f**2 + 113*f**2 + 394*f + 117*f**2 + 113*f**2.
2*f*(f + 197)
Suppose 218*z + 474 = 220*z. Suppose 237 - z = -p. Find a such that 0 + 4/9*a**3 + 4/9*a**2 + p*a = 0.
-1, 0
Factor 0*f - 133*f**2 - 132*f**4 - 531/2*f**3 + 1/2*f**5 + 0.
f**2*(f - 266)*(f + 1)**2/2
Let y(t) be the first derivative of -1/12*t**3 - 9/4*t - 5/4*t**2 - 282. Determine h, given that y(h) = 0.
-9, -1
Let x be (-3)/(-5 + 2) + 12 + -8. Suppose x*s - 25 = 5*n, n - 3 = -5*s + 4. Find j, given that 15*j**s - 17*j**2 + 7*j**2 = 0.
0
Factor -2/3*q**3 - 104*q - 50/3*q**2 + 0.
-2*q*(q + 12)*(q + 13)/3
Let j(d) = -109*d - 3*d**2 + 3 + 80*d - 1 + 3 + 6*d**2. Let b(y) = y**2 - 15*y + 2. Let g(n) = -15*b(n) + 6*j(n). Determine m, given that g(m) = 0.
-17, 0
Let d(w) be the first derivative of 5*w**3/3 - 35*w**2/2 - 90*w + 2210. Let d(c) = 0. What is c?
-2, 9
Let r(m) = 123*m + 861. Let v be r(-7). Let h be -1 + (-29)/(-15) - (-19)/(-57). Factor 24/5*f + v*f**3 - h*f**4 + 9/5 + 18/5*f**2.
-3*(f - 3)*(f + 1)**3/5
Let a(z) be the second derivative of -1/10*z**4 - 8/25*z**5 + 7/75*z**6 + 16/15*z**3 + 22*z - 4/5*z**2 + 0. Solve a(k) = 0 for k.
-1, 2/7, 1, 2
Let o(t) be the third derivative of 0*t + 0*t**3 - 11/240*t**5 - 31*t**2 - 1/16*t**4 + 0 + 1/40*t**6 + 1/168*t**7. Factor o(p).
p*(p - 1)*(p + 3)*(5*p + 2)/4
Let c(t) = 3*t**4 + 4*t**3 - 3*t**2 - t. Let f(s) = -17*s**4 + 95*s**3 - 348*s**2 + 6*s. Let m(i) = 6*c(i) + f(i). Factor m(r).
r**2*(r - 3)*(r + 122)
Let o be (5/(-900))/((-6)/9724) - 9. Let s(q) be the third derivative of 4/3*q**3 + o*q**5 + 0*q + 17*q**2 + 1/9*q**4 + 0. Factor s(b).
2*(b + 6)**2/9
Let r(c) be the first derivative of -27/2*c**2 - 60*c - 186 + 1/2*c**3. Determine l, given that r(l) = 0.
-2, 20
Let n(o) = -5*o**2 + o + 5. Let z be n(9). Let b be z/(-17) + 1*(3 - 2). Find g such that 13*g**3 + 27*g**4 - 12*g - 12*g**3 - b*g**2 + 8*g**3 = 0.
-2/3, 0, 1
Suppose -w - 5*r - 385 = 0, 33*w = 37*w - 4*r + 1492. Let d be (-200)/w + 2/(-10)*-4. What is a in -8/3 + 4/3*a**3 + 8/3*a**2 - d*a = 0?
-2, -1, 1
Let g(n) be the second derivative of -n**4/6 - 8*n**3 - 135*n**2 + n + 256. Factor g(h).
-2*(h + 9)*(h + 15)
Let m = 207905 + -623714/3. Determine i so that -7*i**2 - 33*i + 121/3 - m*i**3 = 0.
-11, 1
Let j = 673 + -589. Let w be ((-36)/(-63))/(24/j). Factor 1/6*i**w + 1/6*i - 1/3.
(i - 1)*(i + 2)/6
Let j(x) = 16*x - 12. Let z be j(1). Factor -8*b**3 + 3 - 107*b - 4 + 5 - z*b**4 + 115*b.
-4*(b - 1)*(b + 1)**3
Let w be (7 - -4 - 2)/(363/(-242))*(-6)/23. Factor -2/23*p**4 + 0 - 42/23*p**2 + 16/23*p**3 + w*p.
-2*p*(p - 3)**2*(p - 2)/23
Let m be 1*(-2)/10*(50 - 5889). Let v = m + -1163. Solve v*s + 4/5*s**2 + 0 = 0.
-6, 0
Factor 0 + 28/13*k**2 - 2/13*k**3 - 98/13*k.
-2*k*(k - 7)**2/13
Let h = 2688558371419224/41461 - 64845478179. Let x = -3/5923 + h. Factor 36/7*p - x - 3/7*p**2.
-3*(p - 6)**2/7
Suppose 412 + 368 = -15*x. Let f be x/(-10) - (-11 + 16). Factor f*a**2 - 4/5*a - 1.
(a - 5)*(a + 1)/5
Let k(a) = -7*a**3 + 11*a**2 + 13*a + 13. Let o(y) = -15*y**3 + 23*y**2 + 26*y + 27. Let u be 6/2 + (-14 + -2)*1. Let l(f) = u*k(f) + 6*o(f). Factor l(c).
(c - 7)*(c + 1)**2
Let l = 25/267 + 3079/1335. Let a(j) be the first derivative of 1/2*j**4 + 16/5*j - l*j**3 + 12/5*j**2 - 28. Suppose a(u) = 0. What is u?
-2/5, 2
Let b be (-27)/540 + (5418/1960 - (-4)/14). Determine u so that 2/21*u**4 - 8/21*u + 2/21*u**b + 0 - 8/21*u**2 = 0.
-2, -1, 0, 2
Let z(k) be the first derivative of -k**3/7 + 825*k**2/7 - 226875*k/7 - 5712. Factor z(t).
-3*(t - 275)**2/7
Let w(k) be the first derivative of 5*k**4/4 + 5*k**3/3 - 60*k**2 + 180*k + 909. Suppose w(x) = 0. What is x?
-6, 2, 3
Suppose 12 = 26*d - 14. Suppose 2 = 4*z - 2. Factor -z - 3*i - 4*i**2 + d - 62*i**3 + 61*i**3.
-i*(i + 1)*(i + 3)
Factor -992*m + 1070 - 2127*m + 5333*m - 1149*m - 5*m**2.
-5*(m - 214)*(m + 1)
Suppose -174*y - 343*y + 736 = -37*y - 224. Solve -48/11 - 2/11*b**2 - y*b = 0 for b.
-8, -3
Let h(g) be the first derivative of 3*g**5/5 - 21*g**4/4 + 5*g**3 + 21*g**2/2 - 18*g + 1190. Factor h(t).
3*(t - 6)*(t - 1)**2*(t + 1)
Let h(u) be the third derivative of 1/30*u**5 - 1/40*u**6 - 4 + 1/210*u**7 + 0*u + 8*u**2 + 0*u**4 + 0*u**3. Factor h(d).
d**2*(d - 2)*(d - 1)
Determine b so that 40*b**3 + 20*b**2 + 5*b - 45*b + 19*b**2 - 286*b**4 - 60 + 16*b**2 + 291*b**4 = 0.
-6, -2, -1, 1
Suppose -5*p = -4*b - 78, 0*p = -p + b + 16. Let f(h) = h**2 - 9*h + 15. Let k be f(p). Determine q so that -82*q - 3*q**2 - 1 + 1 + k*q = 0.
0, 1
Let g(r) = 7*r**4 - 171*r**3 + 3526*r**2 - 3362*r. Let c(b) = 6*b**4 - 170*b**3 + 3526*b**2 - 3362*b. Let s(p) = 5*c(p) - 4*g(p). Determine n so that s(n) = 0.
0, 1, 41
Let v(z) be the first derivative of -5*z**3/3 + 935*z**2/2 + 1890*z - 562. Determine j, given that v(j) = 0.
-2, 189
Let t(k) = -k**3 + k**2 - k. Let c(h) = h**4 + 8*h**3 - 81*h**2 - 592*h - 644. Let z(d) = -c(d) + 12*t(d). Suppose z(y) = 0. Calculate y.
-23, -2, 7
Let u(p) be the second derivative of p**4/12 - 199*p**3/6 - 100*p**2 + 8809*p. Let u(l) = 0. Calculate l.
-1, 200
Let l(y) be the first derivative of 4/3*y**3 + 70 + 0*y + 2*y**2. Factor l(j).
4*j*(j + 1)
Suppose -5*i = 11 + 4, 4*i = -a - 7. Factor -521*y**2 + 16 + a*y**3 - 7*y**3 + 511*y**2 - 4*y.
-2*(y - 1)*(y + 2)*(y + 4)
Let l be (-58)/22185*-17 + (-266)/(-90). Find v, given that 0 + 3/2*v + 3*v**l - 15/4*v**2 - 3/4*v**4 = 0.
0, 1, 2
Let t(j) be the first derivative of j**3/5 + 2037*j**2/10 - 408*j - 1968. Determine k so that t(k) = 0.
-680, 1
Let r(o) be the first derivative of o**4/10 + 8*o**3/15 - 49*o**2/5 - 392*o/5 + 1601. Let r(l) = 0. What is l?
-7, -4, 7
Let j(r) = 5*r**4 + 0 - 7 - 4*r**4 + 7 - r**2. Let l(u) = 3*u**4 - 40*u**3 + 77*u**2 + 40*u - 80. Let h(v) = -2*j(v) - l(v). Factor h(k).
-5*(k - 4)**2*(k - 1)*(k + 1)
Suppose -40*v - 28*v = -23*v - 3105. Determine d so that -529/2 + v*d - 9/2*d**2 = 0.
23/3
Let k(g) = 71*g**2 - 7*g - 6. Let w be k(-4). Find f such that 6*f**2 - 585*f**3 - 575*f**3 + w*f**3 = 0.
0, 3
Let q = -117 - 138. Let x = q + 256. Solve -1/2*s + 1/2*s**3 + s**2 - x = 0.
-2, -1, 1
Let u be 36/168*147/54 - 1/(-6). Suppose -15/4*c**4 + 0*c - 21/4*c**3 - u*c**5 - 9/4*c**2 + 0 = 0. Calculate c.
-3, -1, 0
Let b be (-4)/22 - -4*1939/308. Determine a so that -55*a + 8*a**3 - 3*a**3 - b - 35*a**2 - 10*a**3 = 0.
-5, -1
Let h(b) be the second derivative of -1 + 14*b - 1/8*b**5 - 5*b**2 - 25/24*b**4 - 10/3*b**3. Determine z, given that h(z) = 0.
-2, -1
Determine l, given that 903*l - 171/8*l**2 + 1/8*l**3 + 1849/2 = 0.
-1, 86
Suppose 5*u + 57*t = 62*t + 25, 2*u