. Suppose m(h) = 0. Calculate h.
-2, 0, 1
Let m be (2/(-12))/((-154)/(-37532)). Let a = m + 124/3. Factor -4/7*i + a*i**2 - 1/7.
(i - 1)*(5*i + 1)/7
Let n(t) be the second derivative of 0*t**2 + 0*t**3 + 1/90*t**5 + 1/27*t**4 + 5*t - 1/135*t**6 + 0. Factor n(o).
-2*o**2*(o - 2)*(o + 1)/9
Find g such that 1/2*g**3 - 33 - 97/2*g - 15*g**2 = 0.
-2, -1, 33
Find z, given that 11/4*z**3 - 1/2 - z**5 + z**2 - z**4 - 5/4*z = 0.
-2, -1/2, 1
Let j(f) = -f**2 + 2*f + 5. Let y be j(3). Determine h, given that -46*h - 114 + 1 - 2*h - 31 - 4*h**y = 0.
-6
Factor 1/2*l**2 + 20*l + 200.
(l + 20)**2/2
Let q = -9624/5 + 1926. Factor -2/5*m**3 - q*m**2 + 8/5 + 0*m.
-2*(m - 1)*(m + 2)**2/5
Let s(k) be the second derivative of k**4/12 - 25*k**3/6 + 72*k**2 + 83*k - 3. Solve s(j) = 0 for j.
9, 16
Let p(w) be the first derivative of -w**3 + 129*w**2/10 - 72*w/5 - 97. Factor p(g).
-3*(g - 8)*(5*g - 3)/5
Let z(a) be the third derivative of -a**7/420 - 31*a**6/240 - 27*a**5/20 - 77*a**4/12 - 50*a**3/3 + 28*a**2 + 1. Find c, given that z(c) = 0.
-25, -2
Let w(g) be the first derivative of 1/3*g**2 + 1/24*g**4 + 28 + 2/9*g**3 + 0*g. Factor w(r).
r*(r + 2)**2/6
Let s(k) = 59*k + 9265. Let y be s(-157). Let -6/5*o + 8/5 - 2/5*o**y = 0. What is o?
-4, 1
Let k(v) = v + 28. Let w be k(-26). Factor 3*x**3 - 4 - 17 - 3*x - 292*x**2 + 313*x**w.
3*(x - 1)*(x + 1)*(x + 7)
Let t(p) = -p**3 + 10*p**2 - p + 13. Let i = -15 - -25. Let h be t(i). Factor -9*y**5 - 24*y**4 + 76*y**4 - 8*y - 4*y**2 + 36*y**h + 29*y**5.
4*y*(y + 1)**3*(5*y - 2)
Let o be 315/(-98)*((-225)/27 + 6). Factor -3/2*c**2 + 9 + o*c.
-3*(c - 6)*(c + 1)/2
Let m(r) = -3*r - 22. Let w be m(-12). Factor w*g + 5*g**3 - 19*g + 0*g**3.
5*g*(g - 1)*(g + 1)
Let c(r) be the second derivative of 6*r**2 - 16*r**3 + 37*r - 21/5*r**5 + 0 + 71/4*r**4. Suppose c(k) = 0. Calculate k.
1/4, 2/7, 2
Let y be 0*(88/(-40) + 2). Let o(z) be the third derivative of 1/30*z**6 - 1/105*z**7 + 0*z**4 + 0*z - 1/30*z**5 + 0*z**3 - 6*z**2 + y. Factor o(i).
-2*i**2*(i - 1)**2
Let y = -41 - -71. Let -3 - 35*n**2 + 3 + y*n**2 - 5*n**3 = 0. Calculate n.
-1, 0
Factor 18 - 4*k**3 - 12*k**2 + 6*k - 19 - 2*k + 13.
-4*(k - 1)*(k + 1)*(k + 3)
Let w = 2 + 3. Suppose 4*y - w*y + 2 = 0. Factor -8*p**2 - p - 10*p**2 + 19*p**y + 0*p.
p*(p - 1)
Let c be (3 - 1) + (-1606)/77. Let t = -1035/56 - c. Find j, given that -9/8*j**2 + 3/8 + 3/8*j**3 - t*j + 3/4*j**4 = 0.
-1, 1/2, 1
Let z(h) be the first derivative of 2*h**3/3 - h**2/2 + 1. Let v(f) = -f. Suppose 39*n - 80 = -n. Let d(g) = n*z(g) + 2*v(g). Factor d(a).
4*a*(a - 1)
Factor -5342 + 2119*w**2 - 6663 - 4084*w**2 + 48510*w + 20*w**3.
5*(w - 49)**2*(4*w - 1)
Let g(m) be the third derivative of -1/300*m**6 + 0*m**4 + 0*m - 10*m**2 + 0 + 0*m**3 - 1/75*m**5. Find k such that g(k) = 0.
-2, 0
Let o be ((-9)/21)/(581/98 - 7). Suppose -6/5*r**3 + 3/5*r + 1/5*r**4 + 3/5*r**5 + 1/5 - o*r**2 = 0. Calculate r.
-1, -1/3, 1
Factor 15*b - 18*b - 15*b + 15*b**2 + 3*b**3.
3*b*(b - 1)*(b + 6)
Suppose -9*k - 33 = -51. Let c(o) be the second derivative of 1/9*o**3 - 1/18*o**4 + 4*o + 0*o**k + 0. Factor c(p).
-2*p*(p - 1)/3
Let d(n) = -147*n - 588. Let s be d(-4). Factor -2/5*y**3 + 4/5*y**2 - 2/5*y + s.
-2*y*(y - 1)**2/5
Let a(x) be the first derivative of 5*x**3/6 + 105*x**2/4 + 135*x + 363. Let a(p) = 0. Calculate p.
-18, -3
Let h = 21 - 20. Let j = 5 - h. Find i, given that 5*i**3 + 3*i**2 - j*i**2 - 4*i**3 = 0.
0, 1
Let r be (6/(-5))/(33/(-60)). Determine w so that 36/11*w**2 + r*w**3 - 24/11*w - 30/11 - 6/11*w**4 = 0.
-1, 1, 5
Suppose -97*c = -91*c. Suppose 2*k - 16 = -2*a - c, -2*a = 5*k - 25. Determine f, given that 5/2*f**k - 3/2*f**2 - 2 - 6*f = 0.
-1, -2/5, 2
Find q, given that -166/9*q - 68/9 + 2/9*q**4 - 26/9*q**3 - 14*q**2 = 0.
-2, -1, 17
Let y(q) be the second derivative of 8/33*q**4 + 1/10*q**5 - 4/33*q**3 - 3/55*q**6 + 0 + 0*q**2 - 32*q. Determine b, given that y(b) = 0.
-1, 0, 2/9, 2
What is g in 7*g**3 + 126 + 7*g**3 + 132*g**2 + 22*g**3 - 255*g - 39*g**3 = 0?
1, 42
Let x(p) be the third derivative of p**8/1344 + p**7/210 - p**6/48 - 4*p**5/15 - 29*p**4/32 - 3*p**3/2 - 291*p**2. Suppose x(h) = 0. What is h?
-3, -1, 4
Suppose -2*k + 12/5*k**3 - 2/5*k**4 + 6/5 - 4/5*k**2 - 2/5*k**5 = 0. Calculate k.
-3, -1, 1
Find l, given that 1/4*l**2 + 11/4 - 3*l = 0.
1, 11
Let i be (-5522)/(-770) + -7 + (1 - 4/7). Factor 0 + i*d - 3/5*d**2.
-3*d*(d - 1)/5
Let f(t) be the third derivative of t**5/20 + 3*t**4/4 + 4*t**3 + 29*t**2. Let f(y) = 0. What is y?
-4, -2
Let j(v) be the second derivative of v**6/15 - 2*v**5/5 - 19*v**4/6 - 14*v**3/3 - 55*v. Solve j(u) = 0 for u.
-2, -1, 0, 7
Factor -19*t**4 + 100 + 14*t + 324*t**2 + 58*t**4 - 92*t**3 - 15*t**4 - 354*t - 16*t**4.
4*(t - 5)**2*(t - 1)*(2*t - 1)
Let k be (-21 + 2210/90)/2. Determine z, given that -2/3*z**3 + 2/9*z + 20/9*z**4 - 8/9*z**2 + k*z**5 + 0 = 0.
-1, 0, 1/4, 1/2
Factor 4/13*u**3 + 24/13 + 2/13*u - 18/13*u**2.
2*(u - 4)*(u + 1)*(2*u - 3)/13
Let c = 17783 + -124473/7. Find u such that -4/7*u**2 + 12/7*u - 12/7*u**3 + c - 4/7*u**4 = 0.
-2, -1, 1
Suppose -19*u**2 - 24*u**3 + 104*u**2 - 4*u**2 - 29*u**2 + 4 - 32*u = 0. Calculate u.
1/6, 1
Let i(m) be the first derivative of 5*m**4/4 - 55*m**3 + 1275*m**2/2 + 1445*m + 145. Factor i(f).
5*(f - 17)**2*(f + 1)
Solve 0*z**4 + 408*z**2 + 114*z**3 - 3/2*z**5 - 1920 - 288*z = 0.
-4, 2, 10
Let z(a) be the first derivative of -a**4/4 - 7*a**3/3 - 7*a**2 - 8*a - 69. Factor z(s).
-(s + 1)*(s + 2)*(s + 4)
Suppose 9*y - 26 = -4*y. Let c(l) be the first derivative of -2/9*l**3 - 1/2*l**y - 2 + 1/5*l**5 - 1/3*l + 1/6*l**4 + 1/18*l**6. Solve c(z) = 0.
-1, 1
Let b(q) be the first derivative of -q**6/300 + 2*q**5/75 - q**4/12 + 2*q**3/15 - 7*q**2 - 15. Let v(j) be the second derivative of b(j). Factor v(r).
-2*(r - 2)*(r - 1)**2/5
Let b = 1576 - 1569. Let f(o) be the third derivative of -1/40*o**6 + 0*o - 1/5*o**3 + 9*o**2 + 0 - 9/100*o**5 - 1/350*o**b - 7/40*o**4. Factor f(c).
-3*(c + 1)**3*(c + 2)/5
Let o be 2 - (2 - 1)*-1. Factor -2*t - 3*t**2 - o*t - t.
-3*t*(t + 2)
Let m = 1283 - 1281. Determine d, given that -1/2*d**2 + m + 0*d = 0.
-2, 2
Let o = 11/36 - 1/18. Suppose v - i = 0, 4*i + i = -v + 12. Factor m - 1 - o*m**v.
-(m - 2)**2/4
Let n(i) = -i**3 + i**2 - 2*i. Let g(v) = 10*v**3 - 80*v**2 - 42*v. Let o(p) = g(p) + 12*n(p). Determine m so that o(m) = 0.
-33, -1, 0
Let h(k) be the second derivative of 12*k + 0 - 9/4*k**2 + k**3 - 1/8*k**4. Factor h(b).
-3*(b - 3)*(b - 1)/2
Let c(u) be the third derivative of -11*u**7/252 + 19*u**6/18 - 79*u**5/9 + 70*u**4/3 + 20*u**3 + 322*u**2. What is p in c(p) = 0?
-2/11, 2, 6
Factor -227*d**2 - 43 + 166*d - 27 + 113*d**2 - 94 + 112*d**2.
-2*(d - 82)*(d - 1)
Factor 8/3*x**2 - 80/9*x + 64/9 - 2/9*x**4 + 4/9*x**3.
-2*(x - 2)**3*(x + 4)/9
Factor 6/5*o - 3/5*o**4 + 0*o**3 + 0 + 9/5*o**2.
-3*o*(o - 2)*(o + 1)**2/5
Let u(i) = -50*i**3 - 480*i**2 - 2574*i + 484. Let f(w) = -2*w**3. Let p(n) = 28*f(n) - 2*u(n). Factor p(s).
4*(s + 11)**2*(11*s - 2)
Factor 6/5*q + 3/5*q**2 - 24/5.
3*(q - 2)*(q + 4)/5
Let n be (3 + -2)/((-2)/(-20)). Let i be (-10)/(-25) + (-4)/n. Suppose -2/3*w**2 + i + 0*w - 1/3*w**3 = 0. Calculate w.
-2, 0
Let j(a) be the third derivative of -a**7/756 - a**6/360 + a**5/90 - 7*a**4/24 - a**2. Let i(d) be the second derivative of j(d). What is w in i(w) = 0?
-1, 2/5
Let t be (-5)/(-3) + 4*(-207)/504. Let c(y) be the second derivative of 0*y**2 - t*y**4 - 4/105*y**6 + 0*y**3 + y + 0 + 1/14*y**5. Factor c(p).
-2*p**2*(p - 1)*(4*p - 1)/7
Let y be ((-10)/25)/((-54)/45). Factor 0*p**4 + 0*p + y*p**3 - 1/3*p**5 + 0 + 0*p**2.
-p**3*(p - 1)*(p + 1)/3
Let c be ((-24)/(-8))/((-2)/(20/(-6))). Factor -24 - 70*f**2 + 30*f**4 + 34*f**3 + 64*f**2 - 18*f + 14*f**3 - 33*f + 3*f**c.
3*(f - 1)*(f + 1)**3*(f + 8)
Let s(j) be the first derivative of -5*j**3/2 + 321*j**2/8 + 42*j + 467. Factor s(f).
-3*(2*f + 1)*(5*f - 56)/4
Let g(z) be the third derivative of z**8/35280 + z**7/8820 - z**6/210 - z**5/15 + 22*z**2. Let p(o) be the third derivative of g(o). Factor p(n).
4*(n - 2)*(n + 3)/7
Let d = 5447/1635 + 1/545. Factor 4/3*b + 8/3 + 4/3*b**4 - d*b**2 - 1/3*b**3 - 1/3*b**5.
-(b - 2)**3*(b + 1)**2/3
Let c be ((-6)/4)/((-3)/(-18)). Let j = 10 + c. Let t(a) = a**4 - a**3 - a. Let p(o) = -o**4 + 3*o**3 - o**2 