+ 0*h + 0*h**3 - 7/180*h**6. Solve x(q) = 0.
0, 1, 3
Let h = -1824830 - -1824832. Solve 18*z**h - 21/2*z**4 - 6*z + 0 + 27/2*z**3 = 0 for z.
-1, 0, 2/7, 2
Let c(h) be the first derivative of 0*h + 1/6*h**6 - 9/4*h**4 + 4/3*h**3 + 6*h**2 + 0*h**5 + 30. Let c(k) = 0. Calculate k.
-3, -1, 0, 2
Let r(x) be the third derivative of x**7/840 + 13*x**6/240 - 35*x**4/24 + 46*x**2. Let t(n) be the second derivative of r(n). Let t(i) = 0. What is i?
-13, 0
Let u = -34/4575 + 2553/1525. Suppose -3*d + x + 12 = 2*d, d = -4*x - 6. Suppose -1/3*t**d + 4/3*t + u = 0. Calculate t.
-1, 5
Let h(j) = j**3 + 7*j**2 + j + 7. Let r be h(-7). Suppose -c - 9 = -3*t - 4*c, r = -3*t + 3*c + 9. Factor 5*a**3 - 59*a + 4*a**t + 59*a - 2*a**2 - 7*a**4.
-a**2*(a - 1)*(7*a - 2)
Let j(l) be the second derivative of -3*l**5/140 - 43*l**4/28 - 479*l**3/14 - 1311*l**2/14 + 320*l - 5. Factor j(s).
-3*(s + 1)*(s + 19)*(s + 23)/7
Let k(y) be the first derivative of -4*y**3/15 - 24*y**2/5 + 112*y/5 - 383. Let k(q) = 0. What is q?
-14, 2
Let p = -467 + 469. Factor 10*f**2 - 17*f - 13*f + 5 + f**p - 9*f - f**3 + 40.
-(f - 5)*(f - 3)**2
Let n be (12/(-10))/((-82)/205). Suppose -2*i - 12 = n*f, 1 = -f - 3. Find d, given that 0 - 64/11*d**2 + i*d**3 + 0*d + 2/11*d**5 + 12/11*d**4 = 0.
-4, 0, 2
Suppose 0 = 3*c + 4*d - 23, 5*c + 2984*d - 33 = 2980*d. Determine u, given that 15/2*u**4 + 3/2*u**c + 9/2*u**3 + 0 - 6*u - 15/2*u**2 = 0.
-4, -1, 0, 1
Let 177/2*o**3 - 353/2*o - 1/4*o**4 + 0 - 351/4*o**2 = 0. What is o?
-1, 0, 2, 353
Let -2/5*c**5 + 2336/5*c**2 + 6/5*c**3 + 0 - 156*c**4 - 312*c = 0. Calculate c.
-390, -2, 0, 1
Find q, given that 0 + 4/3*q**4 + 0*q - 700/3*q**2 + 232*q**3 = 0.
-175, 0, 1
Let q(c) be the third derivative of -c**8/420 - c**7/70 + c**6/15 + 4*c**5/15 + 53*c**3/6 - 47*c**2 - c. Let w(k) be the first derivative of q(k). Factor w(g).
-4*g*(g - 2)*(g + 1)*(g + 4)
Determine h so that -81*h - 3/7*h**3 - 102/7*h**2 + 2700/7 = 0.
-25, -12, 3
Let t(v) = -63*v**3 + 950*v**2 + 303368*v + 32157428. Let j(l) = 16*l**3 + l**2 + l + 1. Let p(g) = 20*j(g) + 5*t(g). Let p(m) = 0. What is m?
-318
Suppose 0*h = -h. What is i in 42*i**2 + h*i**2 - 164*i + 382 - 130*i - 2*i**3 + 304 = 0?
7
Factor 79*j**5 - 14*j**3 + 53*j**3 + 13*j**4 - 168*j**5 + 27*j**2 + 90*j**5.
j**2*(j + 1)*(j + 3)*(j + 9)
Let u(y) be the third derivative of -49*y**6/540 + 1981*y**5/270 + 286*y**4/27 + 164*y**3/27 - 100*y**2. Find m, given that u(m) = 0.
-2/7, 41
Let m(w) be the third derivative of 13*w**2 + 1/90*w**5 + 0 + 11/36*w**4 + 2*w**3 + 2*w. Factor m(v).
2*(v + 2)*(v + 9)/3
Let m(g) = 2*g**2 + 34*g - 5. Let c be (6 + 2)/4 - -3. Let a(u) = -3*u**2 - 33*u + 6. Let b be (5*12/(-70))/(1/(-7)). Let w(z) = b*m(z) + c*a(z). Factor w(p).
-3*p*(p - 13)
Let u be (((-24)/(-5))/4)/((-8)/100). Let g(h) = -h**5. Let m(x) = 4*x**5 - 10*x**4 + 25*x**3. Let i = -19 + 14. Let r(v) = i*m(v) + u*g(v). Factor r(n).
-5*n**3*(n - 5)**2
Let c(t) be the third derivative of 0*t + 1/60*t**4 - 1/300*t**6 + 0 + 1/150*t**5 - 15*t**2 - 1/15*t**3. Determine y, given that c(y) = 0.
-1, 1
Factor 15/4*k + 0 + 3/8*k**4 + 3/4*k**3 - 39/8*k**2.
3*k*(k - 2)*(k - 1)*(k + 5)/8
Find g, given that -40/11*g**4 + 0 + 0*g - 36/11*g**2 + 74/11*g**3 + 2/11*g**5 = 0.
0, 1, 18
Let s(y) be the third derivative of -64 - 1/336*y**8 + 2*y**2 + 0*y**4 + 0*y**3 + 11/150*y**6 - 17/1050*y**7 + 0*y + 1/15*y**5. Suppose s(o) = 0. Calculate o.
-5, -2/5, 0, 2
What is d in -5/7*d**2 - 33/7*d - 27/7 + 1/7*d**3 = 0?
-3, -1, 9
Factor -428*x - 3924*x**2 + 4*x**4 - 654*x - 1956*x**3 - 882*x.
4*x*(x - 491)*(x + 1)**2
Factor -81/2 + 27/8*j**2 + 3/4*j**3 - 27/2*j - 1/8*j**4.
-(j - 6)**2*(j + 3)**2/8
Let z(i) = 3*i**2 - 2*i + 29. Let n(g) = 6*g**2 + g**2 + 0 + 1415*g - 1415*g + 60. Let a(m) = 4*n(m) - 10*z(m). Let a(f) = 0. Calculate f.
5
Let t(s) be the first derivative of -s**3/9 - 41*s**2/6 - 38*s + 146. Suppose t(m) = 0. What is m?
-38, -3
Let k(f) = 12 + 19 + 2*f**3 + 18 + 8*f**2 - 50 - 9*f. Let b(r) = -r + 1. Let w(d) = 2*d - 2. Let c(t) = -5*b(t) - 2*w(t). Let p(l) = c(l) - k(l). Factor p(u).
-2*u*(u - 1)*(u + 5)
Let z = 2/164399 + 3616764/1150793. Factor 20/7*c**3 - z*c**2 + 2/7*c**4 + 0 + 0*c.
2*c**2*(c - 1)*(c + 11)/7
Factor 2*z**3 + 197*z + 55*z**2 + 289*z + z**3 + 0*z**3 + 116*z**2.
3*z*(z + 3)*(z + 54)
Let i(o) be the second derivative of o**5/60 - 269*o**4/108 + 73*o**3/9 + 88*o**2/9 - 295*o + 2. Determine q so that i(q) = 0.
-1/3, 2, 88
Let i(j) be the second derivative of j**4/12 - j**3/6 - 5*j**2/2 - 2*j. Let k(n) = 19 - 12 - 8. Let b(y) = 5*i(y) - 15*k(y). What is o in b(o) = 0?
-1, 2
Let q(m) be the third derivative of -m**6/160 + 3*m**5/40 + 37*m**4/32 + 15*m**3/4 + 1282*m**2. Suppose q(y) = 0. What is y?
-3, -1, 10
Let n(b) be the first derivative of -b**4 + 92*b**3/3 - 32*b**2 - 528*b - 3805. Find s such that n(s) = 0.
-2, 3, 22
Let z(t) be the first derivative of 3*t**5/40 - 9*t**4/32 - 5*t**3 + 2066. Determine s, given that z(s) = 0.
-5, 0, 8
Let o(h) be the second derivative of -3*h**5/100 + 2091*h**4/20 - 1457427*h**3/10 + 1015826619*h**2/10 + 9*h + 17. Determine m, given that o(m) = 0.
697
Suppose 0 = -5*p - 25, -3*p = 3*o + 2 + 4. Let -34*r**2 + 37*r**2 + 2*r - 2*r**2 - r**o = 0. Calculate r.
-1, 0, 2
Let v = 867 + -858. Factor -2*g**2 + 0*g**2 + 84*g - 1764 + 10*g**2 - v*g**2.
-(g - 42)**2
Let y = -111340 - -111346. Factor -12 - 3/4*h**2 + y*h.
-3*(h - 4)**2/4
Let d(s) be the second derivative of -1/20*s**5 + 11/36*s**4 - 1/2*s**2 - 17*s - 5/18*s**3 + 0. Factor d(k).
-(k - 3)*(k - 1)*(3*k + 1)/3
Let h = -691611 - -691611. Determine b so that 2/5*b**4 + h - 32/5*b**3 + 26/5*b**2 + 12*b = 0.
-1, 0, 2, 15
Let c = -17/28123 + 253141/56246. Suppose c - 1/4*q**2 - 3/4*q = 0. Calculate q.
-6, 3
Let d(y) = -22*y**2 - 92*y - 486. Let h(r) = -7*r**2 - 31*r - 162. Let f = -193 + 209. Let n(j) = f*h(j) - 5*d(j). Factor n(i).
-2*(i + 9)**2
Let v(u) be the third derivative of -u**6/1020 + 431*u**5/510 - 46655*u**4/204 + 46225*u**3/51 - u**2 + 16*u - 12. Find c, given that v(c) = 0.
1, 215
Let u = -33056 - -33056. Factor u*k + 0 - 4/7*k**2 + 4/7*k**3.
4*k**2*(k - 1)/7
Let o be (-588)/(-490)*(-7)/(-14). Solve -4/5 + 1/5*k**2 + o*k = 0 for k.
-4, 1
Let c(x) be the second derivative of x**4/48 + 25*x**3/4 - 1431*x**2/8 + 3712*x. Suppose c(z) = 0. Calculate z.
-159, 9
Let p(g) = 6*g**5 + 11*g**4 + 24*g**3 + 46*g**2 + 24*g + 2. Let i(c) = -c**5 + 2*c**3 + c + 1. Let w(a) = -10*i(a) - 2*p(a). Factor w(q).
-2*(q + 1)**4*(q + 7)
Let m(f) be the second derivative of -f**9/6048 - f**8/1120 + f**6/180 + 4*f**3/3 + 38*f. Let g(x) be the second derivative of m(x). Factor g(a).
-a**2*(a - 1)*(a + 2)**2/2
Let g be (9/4)/((-6)/(-8)). Let k be (8/(-2))/(-14 - -12). Factor 4*a**k - 8*a - a**2 + g*a**2 + 11*a.
3*a*(2*a + 1)
Let z(n) be the third derivative of -n**6/960 + n**5/120 + n**2 - 7*n. Factor z(o).
-o**2*(o - 4)/8
Let h(q) be the third derivative of q**9/90720 + q**8/2520 - q**7/7560 - q**6/90 - 43*q**5/30 + 41*q**2. Let m(i) be the third derivative of h(i). Factor m(o).
2*(o - 1)*(o + 1)*(o + 12)/3
Let z be 55/365 + 7 + -7. Let s = 1613/438 + z. Let 0 + 143/6*l**2 - s*l**3 - 121/6*l + 1/6*l**4 = 0. What is l?
0, 1, 11
Let h(p) be the first derivative of 2*p**6/9 - p**5/15 - 17*p**4 - 341*p**3/9 - 47*p**2/3 + 16*p - 1000. What is z in h(z) = 0?
-6, -1, 1/4, 8
Suppose 50*l = 46*l + 12. Factor l*o**2 + 288*o**3 - 287*o**3 - 4*o**2 - 8*o - 6*o**2.
o*(o - 8)*(o + 1)
Let o be (-5)/10*-35*(2 - 0). Let o - 35 + 30*h - 5*h**2 = 0. Calculate h.
0, 6
Let x be 3 - 0*(-1)/4. Let -514*b**3 + 510*b**x - b - 6*b - 12*b**2 - b = 0. What is b?
-2, -1, 0
Let l be 17/238*((-2336)/(-78))/4. Let m = l + 12/91. Factor -8/3*g**4 + 0 + m*g**5 + 0*g - 4/3*g**2 + 10/3*g**3.
2*g**2*(g - 2)*(g - 1)**2/3
Let i(p) be the second derivative of -5*p**7/42 + 31*p**6/6 - 351*p**5/4 + 3075*p**4/4 - 3780*p**3 + 10530*p**2 - 96*p - 2. What is d in i(d) = 0?
3, 6, 13
Let w(t) be the first derivative of -14*t**5 - 62*t**4 + 158*t**3 - 90*t**2 - 1073. Find z such that w(z) = 0.
-5, 0, 3/5, 6/7
Let s(a) = 395*a - 855. Let n(f) = f**2 + 398*f - 852. Let k(h) = -5*n(h) + 4*s(h). Factor k(v).
-5*(v - 2)*(v + 84)
Suppose 0 = 3*w - 5*g - 17, -w = -3*g - 15 + 8. Suppose -f + w = 2*h, -3*h + 60*f = 63*f. Suppose -h + 45/