9*w**2.
-2*(w + 951)**2/9
Let j(h) be the first derivative of -h**5/20 + h**4/12 + 2*h**3/3 - 2*h**2 - 9*h + 16. Let k(s) be the first derivative of j(s). Find a, given that k(a) = 0.
-2, 1, 2
Let g(h) be the third derivative of h**5/240 - 25*h**4/96 + 6*h**3 - 1863*h**2. Let g(y) = 0. What is y?
9, 16
Let l(g) be the third derivative of 7/8*g**4 - 1/4*g**5 + 1/40*g**6 + 0*g + 92*g**2 + 0 - 3/2*g**3. Determine p so that l(p) = 0.
1, 3
Solve -3750 - 956*j**2 + 404/9*j**3 + 3450*j + 2/9*j**5 + 82/9*j**4 = 0 for j.
-25, 3
Let j(k) be the third derivative of -k**5/80 + 331*k**4/32 - 165*k**3/4 + 8*k**2 - 21*k. Factor j(h).
-3*(h - 330)*(h - 1)/4
Suppose -13*s + 7*s = 10*s. Let r(q) be the second derivative of -14*q + s + 1/33*q**3 + 0*q**2 - 1/66*q**4. Factor r(z).
-2*z*(z - 1)/11
Solve -56*n**4 + 98483117032*n - 57*n**4 - 56849379306722 - 63977772*n**2 + 122*n**4 + 18472*n**3 - 11*n**4 = 0 for n.
2309
Let g(a) be the first derivative of a**4/4 + 5*a**3 + 27*a**2/2 - 243*a - 1129. Find t such that g(t) = 0.
-9, 3
Let d(r) be the second derivative of r**4/78 + 3914*r**3/39 + 3829849*r**2/13 + 7918*r. Let d(w) = 0. What is w?
-1957
Find p, given that 430 + 0*p**3 - 28*p**2 + 7*p**3 - 502*p - 5*p**3 + 98 = 0.
-11, 1, 24
Suppose 0 = x - 11*y + 196, 10*y - 15*y + 90 = 0. Let 218/3*q**3 + 8/3*q - 24*q**x + 0 + 98/3*q**5 - 84*q**4 = 0. Calculate q.
0, 2/7, 1
Let d be 16695/1484*(0 - 2/(-1)). Let q(w) be the second derivative of -11*w + d*w**2 + 0 + 5/12*w**4 - 5*w**3. Factor q(f).
5*(f - 3)**2
Let f = -2154643/15 - -143645. Determine h so that 2/15*h**2 + f + 4/3*h = 0.
-8, -2
Let l(b) = b**3 + 5*b**2 + 4*b + 3. Suppose 0 = 3*y - 35 - 13. Let s(f) = f**2 - 3*f + y - 2*f**2 - 17 + 2*f. Let j(c) = l(c) + 3*s(c). Factor j(m).
m*(m + 1)**2
Suppose 13 = 4*s - 3*o, 0 = -21*s + 23*s - o - 7. Factor -2/7*m**5 - 64/7*m + 16/7 - 8*m**3 + 88/7*m**2 + 17/7*m**s.
-(m - 2)**4*(2*m - 1)/7
Suppose 186*r**2 - 230*r**4 + 494*r**2 + 20*r**2 + 0*r**5 + 15*r**3 - 5*r**5 + 460*r = 0. Calculate r.
-46, -1, 0, 2
Suppose -2*f + 4*o - 9*o - 9 = 0, f - 23 = 3*o. Let k be -7 + (-125)/(-35) + f. Let 2/7*b**2 + 16/7*b + k = 0. Calculate b.
-4
Let q(z) be the first derivative of -5*z**3/3 - 684*z**2 + 548*z - 3260. What is t in q(t) = 0?
-274, 2/5
Let x = 1528 - 1508. Let p(u) be the second derivative of -5/12*u**4 + 0 + 39*u - 360*u**2 + x*u**3. Find q such that p(q) = 0.
12
Factor -5*g**2 - 173*g - 114*g + 1595 + 57*g + 702 + 3058.
-5*(g - 17)*(g + 63)
Let l(j) be the first derivative of 0*j**3 + 0*j + 0*j**2 + 0*j**5 - 1/12*j**4 + 1/18*j**6 + 36. Factor l(a).
a**3*(a - 1)*(a + 1)/3
Suppose 38211585 + 234*u**3 - 3*u**5 + 21*u**4 - 38211585 = 0. What is u?
-6, 0, 13
Let a = 54/2467 + 167486/12335. Solve a*l**3 + 24/5*l - 68/5*l**2 + 4/5*l**5 - 28/5*l**4 + 0 = 0.
0, 1, 2, 3
Let o(f) be the third derivative of -1/30*f**5 - 1/3*f**3 - 6*f**2 + 0 + 1/6*f**4 - 6*f. Factor o(r).
-2*(r - 1)**2
Let g(z) be the first derivative of -8*z**3/3 - 31*z**2 + 16*z + 1180. Factor g(l).
-2*(l + 8)*(4*l - 1)
Let u(g) = -3*g**4 + 12*g**3 - 15*g. Let n(q) = -15*q**3 + 6*q + 14*q**3 - 4*q + 4*q - 4*q + q**2. Let f(d) = -3*n(d) - u(d). Solve f(r) = 0 for r.
-1, 0, 1, 3
Let o(h) = h**2 + 11*h - 20. Let r be o(-12). Let u be (-42)/(-28)*r/(-6). Determine c so that 5*c**u - 3*c**2 + 2*c**2 - 48*c + 155 - 11 = 0.
6
Let i(m) = 3*m**3 - 155*m**2 - 466*m - 303. Let n(z) = 4*z**3 - 154*z**2 - 466*z - 302. Let c(h) = 6*i(h) - 5*n(h). Solve c(s) = 0 for s.
-77, -2, -1
Let z(c) be the third derivative of 3*c**2 - 4 + 1/20*c**5 + 3*c**3 + 0*c - 5/8*c**4. Factor z(f).
3*(f - 3)*(f - 2)
Factor 94/13*b + 48/13 + 44/13*b**2 - 2/13*b**3.
-2*(b - 24)*(b + 1)**2/13
Let l = -53223 - -53226. Suppose 3/2*h**2 - 3/8*h + 3/4*h**4 - 15/8*h**l + 0 = 0. What is h?
0, 1/2, 1
Suppose -7560 = 5*g - 19*g. Factor 544*m**4 - g*m**4 - 2*m - 40*m**3 - 44*m**2 + 2*m.
4*m**2*(m - 11)*(m + 1)
Let m(a) be the first derivative of -a**6/40 + a**5/20 + a**4 - 6*a**3 - 11*a**2/2 + a - 63. Let h(b) be the second derivative of m(b). Factor h(l).
-3*(l - 2)**2*(l + 3)
Let p be (290/(-900) + 2/9)/((-5)/5). Let j(y) be the second derivative of 0 - 1/20*y**4 - 15*y - 1/100*y**5 - 1/10*y**2 - p*y**3. Factor j(k).
-(k + 1)**3/5
What is u in 5*u**5 + 235*u**2 - 280*u - 65*u**4 + 8*u**5 + 8*u**5 - 10*u**3 - u**5 + 100 = 0?
-2, 1, 5/4, 2
Let q(n) be the first derivative of 34*n**2 - 66 + 0*n + 8/3*n**3 - 17*n**4 - 8/5*n**5. Determine s, given that q(s) = 0.
-17/2, -1, 0, 1
Let u(d) be the third derivative of 59/80*d**5 - 179*d**2 + 0 + 205379/24*d**3 + 3481/32*d**4 + 1/480*d**6 + 0*d. Factor u(z).
(z + 59)**3/4
Suppose 23*p - 28*p = -140. Suppose -p = 3*q - 10*q. Factor 9*t**3 - q - 14*t**2 - 9*t**2 - 14 + 35*t**2 - 51*t.
3*(t - 2)*(t + 3)*(3*t + 1)
Suppose -248/13*f**3 + 242/13*f**2 + 0 + 2/13*f**4 + 492/13*f = 0. What is f?
-1, 0, 2, 123
Let u(b) = 8*b + 382. Let o be u(-32). Suppose 3*n = a + 1, -122*n + 5*a + 5 = -o*n. Factor -1/3*d**2 + 1/9*d**3 + 4/9 + n*d.
(d - 2)**2*(d + 1)/9
Let -626/7*z - 1/7*z**2 - 625/7 = 0. Calculate z.
-625, -1
Let g(s) = -19*s + 152. Let w be g(8). Determine x, given that 7204*x**3 - 426*x + 10176*x**2 - 654*x**4 - 16*x**5 + 15*x**5 + 15*x**5 + 2730*x + w*x**5 = 0.
-1, -2/7, 0, 24
Let a(j) be the third derivative of j**7/350 + 17*j**6/200 - 57*j**5/100 + 59*j**4/40 - 2*j**3 + j**2 + 330*j. Suppose a(n) = 0. What is n?
-20, 1
Let r(f) be the second derivative of f**5/30 - 203*f**4/9 + 41209*f**3/9 + 5090*f. Suppose r(c) = 0. What is c?
0, 203
Let z be (-114)/(-36)*4096/19456. Factor 1058/3 + z*h**3 - 30*h**2 + 322*h.
2*(h - 23)**2*(h + 1)/3
Let r be 8/(-3)*(-1170)/(-1196). Let k = -162/115 - r. Determine j so that -k*j + 3/5 + 3/5*j**2 = 0.
1
Let u(s) = -8*s**4 - 74*s**3 + 896*s**2 - 3588*s - 15. Let f(m) = -5*m**4 - 37*m**3 + 448*m**2 - 1800*m - 9. Let z(a) = 5*f(a) - 3*u(a). Factor z(g).
-g*(g - 14)**2*(g - 9)
Let t(g) = g**4 + 531*g**3 + 71829*g**2 + 5*g + 5. Let o(a) = a**4 + 532*a**3 + 71828*a**2 + 4*a + 4. Let c(j) = 5*o(j) - 4*t(j). Factor c(b).
b**2*(b + 268)**2
Let 0 + 2/7*l**3 + 0*l - 368/7*l**2 = 0. What is l?
0, 184
Suppose 4*w - 11 = -5*m, 10*m = 14*m - 2*w - 14. Let r be 36/(-150)*(m/(-3) + -9). Suppose 4/5*q**3 - 8/5 + 0*q**2 - r*q = 0. Calculate q.
-1, 2
What is u in 192/13*u**4 - 380/13 - 2642/13*u - 3136/13*u**3 + 18/13*u**5 - 5572/13*u**2 = 0?
-19, -1, -1/3, 10
Let g be (-10692)/(-648)*20/165. Factor 0*b - 3/5*b**3 + 3/5*b**g + 0.
-3*b**2*(b - 1)/5
Let s(y) = -14*y**3 - 8*y - 4. Let g be s(-3). Determine i, given that 7*i**2 - 768*i + 80 - 35*i**3 + g*i + 318*i**2 = 0.
2/7, 1, 8
Solve 36/7*f**2 + 216/7 + 162/7*f + 2/7*f**3 = 0.
-12, -3
Let y = 5207/616 - 468/77. Let a(c) be the first derivative of y*c**3 - 297/16*c**2 - 3/32*c**4 + 25 + 243/8*c. Factor a(l).
-3*(l - 9)**2*(l - 1)/8
Let f(j) be the third derivative of -j**5/60 + 11*j**4/8 + 17*j**3/3 + 6860*j**2. Factor f(w).
-(w - 34)*(w + 1)
Solve 3/5*w**2 - 2004/5*w + 334668/5 = 0.
334
Suppose -466 = 2*h + 18*r - 23*r, 2*h - 2*r + 472 = 0. Let w be (3 + 4)*h/(-187). Factor 72/11 - 168/11*p + w*p**2.
2*(7*p - 6)**2/11
Suppose -16*n + 9 = -13*n. Let b be (-1 + n)*(-60)/(-24). Determine l so that -3*l**b + l**5 - l**5 = 0.
0
Let r be -3*15/6*(2/23 + (-1098)/3105). Factor 2/11*q + 12/11 - 2/11*q**3 - 12/11*q**r.
-2*(q - 1)*(q + 1)*(q + 6)/11
Factor 2/17*b**2 - 576/17 - 284/17*b.
2*(b - 144)*(b + 2)/17
Let c(j) be the second derivative of 4/5*j**5 + 0 - 2/15*j**6 - 2*j**2 + 8/3*j**3 - 137*j - 2*j**4. Solve c(t) = 0.
1
Let 10/3*t**2 + 0 - 1/3*t**3 + 13*t = 0. What is t?
-3, 0, 13
Let a(n) = -76*n**4 - 672*n**3 - 1784*n**2 + 17184*n + 75524. Let r(y) = -7*y**4 - 61*y**3 - 162*y**2 + 1562*y + 6866. Let g(x) = 3*a(x) - 32*r(x). Factor g(v).
-4*(v - 5)*(v + 7)**3
Let m = -683 - -681. Let y(t) = -12*t + 4. Let d(g) = -g**2 + 13*g - 6. Let z(o) = m*d(o) - 3*y(o). Factor z(a).
2*a*(a + 5)
Let o(t) be the first derivative of -t**3/9 - 176*t**2 - 92928*t - 971. Factor o(a).
-(a + 528)**2/3
Let r be 34*1 + 5/(-5)*-2. Let j = r + -25. Factor k**3 - 8*k - 16*k**2 - 2*k**3 + j*k**3 + 0*k.
2*k*(k - 2)*(5*k + 2)
Let v(j) be the first derivative of 2*j**6/3 + 12*j**5/5 - 5*j**4 - 4*j**3 + 8*j**2 + 1083. Factor v(b).
4*b*(b - 1)**2*(b + 1)*(b + 4)
Let n(d) = -d + 9. Suppose 7