, 10
Let k(p) be the second derivative of p**7/84 - 17*p**6/24 - 11*p**5/20 + 43*p**4/48 + 85*p + 11. Determine w, given that k(w) = 0.
-1, 0, 1/2, 43
Let b(t) be the first derivative of 5/4*t**4 - 42 - 15*t**3 + 135/2*t**2 - 135*t. Let b(x) = 0. Calculate x.
3
Suppose -d + 2*c = -12, 368*d - 369*d + 24 = 4*c. Find h, given that 16/3*h**4 - 2/3*h**5 + 0 + d*h**2 - 44/3*h**3 - 6*h = 0.
0, 1, 3
Let x(n) be the second derivative of 2*n**4/15 - 178*n**3/5 - 268*n**2/5 + n + 4. Suppose x(w) = 0. Calculate w.
-1/2, 134
Factor -95*v + 191*v**2 + 184*v**2 + 181*v**2 - 561*v**2 - 170.
-5*(v + 2)*(v + 17)
Let u = 40723/69 - 13536/23. Solve -10/3*q + u*q**2 + 0 = 0 for q.
0, 2
Let l(m) be the first derivative of -m**6/480 - 3*m**5/80 + 7*m**4/32 - 34*m**3/3 + m**2 + 40. Let g(v) be the third derivative of l(v). Factor g(k).
-3*(k - 1)*(k + 7)/4
Let k(n) be the first derivative of n**4 - 332*n**3/3 + 1232*n**2 - 4800*n - 3645. Find s, given that k(s) = 0.
4, 75
Factor 4*c**2 + 533 + 431*c + 473*c - 101 + 794*c - 2134*c.
4*(c - 108)*(c - 1)
Let q(b) = -5*b**3 + 3*b**2 + 2*b. Suppose 9*s - 48 - 6 = 0. Let c(x) = 10*x**3 - 7*x**2 - 4*x. Let g(v) = s*c(v) + 13*q(v). Factor g(z).
-z*(z + 1)*(5*z - 2)
Let g(m) be the first derivative of 33/20*m**4 + 12/5*m**3 + 161 + 0*m - 2*m**2 + 1/5*m**5. Factor g(h).
h*(h + 2)*(h + 5)*(5*h - 2)/5
Let r(b) be the first derivative of 2*b**3/3 + 174*b**2 - 2587. Factor r(s).
2*s*(s + 174)
Let o(v) be the first derivative of v**4/4 - 8*v**3/3 + 8*v**2 + 243. Suppose o(t) = 0. Calculate t.
0, 4
Factor -373*z - 397*z**2 + 176*z + 5*z**4 + 127*z**2 + 35*z**3 - 603*z + 4000.
5*(z - 4)**2*(z + 5)*(z + 10)
Let s(z) = 652*z + 7829. Let w be s(-12). Solve 1/2*i**w - 1/2*i**4 + i + 1/2*i**2 - 3/2*i**3 + 0 = 0.
-1, 0, 1, 2
Let v(q) be the second derivative of q**5/10 + 77*q**4/6 - 664*q**3/3 + 1360*q**2 + 308*q. Factor v(g).
2*(g - 4)**2*(g + 85)
Let w = -151/345 - -32/69. Let r = 91/920 + w. Factor 1/4 - 1/8*l**2 + r*l.
-(l - 2)*(l + 1)/8
Suppose 21*j = j + 11620. Factor j*o**3 + 66 + 580*o**3 - 36*o**2 - 1164*o**3 - 27*o.
-3*(o - 1)*(o + 2)*(o + 11)
Let p = -1717077/10 + 904101/5. Determine x, given that 27/2*x**2 - 1/10*x**3 - 1215/2*x + p = 0.
45
Let -2/7*y**2 - 103968/7 - 912/7*y = 0. What is y?
-228
Let b = -5465 - -5468. Let w(j) be the first derivative of -18 + 4/5*j**2 - 4/15*j**b + 0*j. Suppose w(i) = 0. What is i?
0, 2
Let p be 9/6*16/6. Suppose q + 3*q + 8 = 4*z, 0 = -2*z + q + p. Find g, given that -56*g**2 + 4*g + 1 - 1 + 58*g**z = 0.
-2, 0
Let y(p) be the first derivative of p**6/1080 - p**5/180 - p**4/9 + 14*p**3 + p**2 + 3. Let c(u) be the third derivative of y(u). Factor c(o).
(o - 4)*(o + 2)/3
Let w be (279/270 - 1)/14. Let l(h) be the third derivative of 0*h + 2*h**2 - 5/168*h**4 - 2/21*h**3 - w*h**5 + 0. Let l(o) = 0. What is o?
-4, -1
What is v in -1420/3*v + 472 + 4/3*v**2 = 0?
1, 354
Solve -288 - 142*f**3 + 1/2*f**4 - 1147/2*f**2 - 719*f = 0 for f.
-2, -1, 288
Let x(d) be the second derivative of d**5/150 + 3*d**4/20 + 6*d**3/5 - 195*d**2/2 - d - 94. Let n(o) be the first derivative of x(o). Factor n(j).
2*(j + 3)*(j + 6)/5
Suppose 0 = 13*z + 31 - 5. Let m be (-2)/z*16/(-40)*-5. Determine y so that -5/2*y**m + 5 - 5/2*y = 0.
-2, 1
Let l(w) be the first derivative of -w**4/28 + 8*w**3/3 - 261*w**2/14 + 306*w/7 + 8752. Factor l(h).
-(h - 51)*(h - 3)*(h - 2)/7
Suppose -3*v + 2*b = -6, 8 = 3*v + 2*b - 10. Let a(c) be the second derivative of -1/5*c**5 + 2/3*c**3 + 0 + 3*c - 6*c**2 + c**v. Factor a(k).
-4*(k - 3)*(k - 1)*(k + 1)
Suppose 2*w + 0*w - 1682 = -t, -5*t = -w - 8410. Let -16 - 20*n**2 + t*n - 1714*n - n**3 - 3*n**3 = 0. Calculate n.
-2, -1
Let p(h) be the first derivative of -2*h**3/9 - 250*h**2/3 + 502*h/3 - 1815. Find u, given that p(u) = 0.
-251, 1
Let a be (10/(-2))/((7 + -8)/1). What is z in -172*z**a - 12*z**3 - z**4 + 86*z**5 - 20*z**2 + 90*z**5 + 5*z**4 - 8*z = 0?
-1, 0, 2
Let i(d) = -4*d - 36. Let x be i(-9). Let -76 + 68 - 2*m**2 - 4*m + x*m - 4*m = 0. Calculate m.
-2
Find i such that 0*i + 0 - 7/5*i**4 + 250*i**2 - 4373/5*i**3 = 0.
-625, 0, 2/7
Let f(k) = 3*k**2 + 9*k. Let s be f(-3). Suppose -57 = -454*m + 435*m. Determine q so that -2/15*q**4 + 0 + 4/5*q**m + s*q - 6/5*q**2 = 0.
0, 3
Let c(n) be the third derivative of n**4/8 + 11*n**3/3 - 11*n**2. Let t be c(14). Factor -39*m**2 - 30 - 16*m**2 - 3*m - 108*m - t*m.
-5*(m + 3)*(11*m + 2)
Let k(i) be the second derivative of -i**8/16800 + i**7/126 - 25*i**6/72 + i**4/12 - 30*i**2 - 40*i. Let h(a) be the third derivative of k(a). Factor h(f).
-2*f*(f - 25)**2/5
Let h = -40520 - -40522. Let j(k) be the second derivative of 8*k**h - 22*k**3 + 33*k + 0 - 1331/80*k**5 + 121/4*k**4. Determine t, given that j(t) = 0.
4/11
Let m(w) be the second derivative of w**6/120 + w**5/16 - w**4/16 - 13*w**3/24 + 5*w**2/4 + 2170*w. Find q such that m(q) = 0.
-5, -2, 1
Suppose -a + 5*y = -2*a + 31, -19 = -a - 2*y. Suppose 8*r = 35 - a. Suppose -33/2*s**r - 45*s**4 + 0 + 6*s + 75/2*s**5 + 18*s**2 = 0. Calculate s.
-2/5, 0, 1
Suppose 4*r + 568 = -2*u, -19*u + 3*r + 572 = -21*u. Let t = -288 - u. Find n, given that -12/7*n**2 + 16/7 + 20/7*n - 4/7*n**t - 20/7*n**3 = 0.
-4, -1, 1
Let -88/5*x - 68/5*x**3 - 56/5 + 218/5*x**2 - 6/5*x**4 = 0. Calculate x.
-14, -1/3, 1, 2
Let x be ((-10386)/32 + 3)/(4650/(-6200)). Factor -x*n**4 + 340*n + 80 - 1225/4*n**3 + 315*n**2.
-5*(n - 1)*(7*n + 4)**3/4
Suppose -116 + 79*y**2 - 15104*y**3 + 15098*y**3 - 174*y**2 - 813*y - 608*y**2 = 0. Calculate y.
-116, -1, -1/6
Suppose 4*c + 4*f = 28, 3*c + 19*f - 22*f + 3 = 0. What is k in -2/11*k**4 + 40/11*k + 76/11*k**2 + 48/11*k**c + 6/11 - 8/11*k**5 = 0?
-1, -1/4, 3
Let g = 52 - 19. Find v such that 261*v**2 - 266*v**2 - 3678 + g + 270*v = 0.
27
Let r(w) = -w**3 - w**2 - w - 1. Let x(o) = -12*o**3 + 14*o**2 + 43*o - 61. Let m(j) = -4*r(j) + 4*x(j). Factor m(l).
-4*(l - 2)*(l + 2)*(11*l - 15)
Factor -92*t + 230*t**2 + 393*t - 262 - 496*t**2 + 2*t**3 + 295*t - 70*t.
2*(t - 131)*(t - 1)**2
Let u be 70 + 6/4*10/15. Factor -2*g**2 - 23 + 42 - 363*g + 14*g**2 + u.
3*(g - 30)*(4*g - 1)
Factor 43*q + 1/5*q**3 + 29/5*q**2 + 95.
(q + 5)**2*(q + 19)/5
Let g = 778/31 - 2272/93. Find m, given that g*m - 1/3 - 2/3*m**3 + 0*m**2 + 1/3*m**4 = 0.
-1, 1
Suppose 0 = p - 35 + 7. Suppose -w = w - p. Factor 12*o**3 - 6*o**3 - w*o**2 + 30*o - 4*o**3 - 18.
2*(o - 3)**2*(o - 1)
Let n(b) = 22*b**2 + 12*b - 4. Let p be n(6). Let a = p - 9454/11. Factor 2/11 + a*o**2 - 8/11*o.
2*(o - 1)*(3*o - 1)/11
Let j(t) be the third derivative of 29*t**5/90 + 85*t**4/36 - 2*t**3/3 + 511*t**2. Factor j(s).
2*(s + 3)*(29*s - 2)/3
Let l(p) be the first derivative of -p**6/72 + p**5/12 + 5*p**4/3 - 37*p**3/3 - 46. Let c(w) be the third derivative of l(w). Find t such that c(t) = 0.
-2, 4
Factor 14886936 - 20149*u**2 - u**3 - 181548*u + 40795*u**2 - 19908*u**2.
-(u - 246)**3
Let z(x) = -12*x**3 + 14*x**2 - 12*x - 12. Let v(f) = 11*f**3 - 15*f**2 + 11*f + 10. Let k be (-11)/(-55) + (-31)/5. Let m(d) = k*v(d) - 5*z(d). Factor m(s).
-2*s*(s - 3)*(3*s - 1)
Let h(l) be the third derivative of l**6/30 + 28*l**5/5 - 265*l**4/6 - 232*l**3 - 142*l**2 + 11*l. Determine n, given that h(n) = 0.
-87, -1, 4
Let m(y) be the second derivative of 0*y**2 - y + 1/18*y**4 + 38 + 1/30*y**5 - 2/9*y**3. Determine j so that m(j) = 0.
-2, 0, 1
Solve 4*f + 4/7*f**2 - 56 = 0.
-14, 7
Let f be (-13014)/(-9720) - (-6)/(-5). Let s(d) be the second derivative of -17*d + f*d**3 + 5/4*d**2 - 5/18*d**4 + 0. Factor s(u).
-5*(u - 1)*(4*u + 3)/6
Let c be (9 + -10)*(1595/825 - 7/3). Determine t, given that -c - 28/5*t**2 + 3*t = 0.
1/4, 2/7
Let y be 3/7 + 17*1250/5950. Find b, given that 2/5*b**2 + 32/15*b**3 + 8/15 - 32/15*b - 14/15*b**y = 0.
-1, 2/7, 1, 2
Suppose -59*n + 58*n + 24 = 0. Factor -n + 8*w - 27*w**2 + 15 + 28*w**2.
(w - 1)*(w + 9)
Let q(p) be the first derivative of -p**3/9 - 314*p**2/3 - 98596*p/3 + 264. Factor q(s).
-(s + 314)**2/3
Let g(z) be the first derivative of 25/12*z**4 - 10 - 65/6*z**3 - 15*z**2 - 25*z. Let a(i) be the first derivative of g(i). Find f such that a(f) = 0.
-2/5, 3
Let y(k) be the second derivative of -9*k + 3 + 7/230*k**5 + 1/46*k**4 - 7/69*k**3 - 3/23*k**2. Factor y(p).
2*(p - 1)*(p + 1)*(7*p + 3)/23
Suppose -195*h + 806 = 177*h + 31