 first derivative of 194/33*l**3 - 36/11*l**4 - 15 + 32/55*l**i + 8/11*l - 36/11*l**2. Factor w(v).
2*(v - 2)**2*(4*v - 1)**2/11
Let p(d) = d**3 + 877*d**2 + 52778*d - 128. Let i be p(-65). Factor 4*z**i + 48/13 - 98/13*z - 2/13*z**3.
-2*(z - 24)*(z - 1)**2/13
Let n(p) be the second derivative of 7*p**4/18 - 23*p**3/9 + 2*p**2 - 9*p + 2. Factor n(g).
2*(g - 3)*(7*g - 2)/3
Let g(t) = -28413*t - 1818427. Let m be g(-64). Let f be 0/(-1)*(0 - -1). Determine i so that 0*i**3 + 0*i + 0 + 2/9*i**4 + 2/9*i**m + f*i**2 = 0.
-1, 0
Find u such that 232*u + 77*u**3 - 124*u**4 + 261*u**3 - 455*u**2 + 136*u**3 - 166*u**2 + 2*u**5 + 37*u**2 = 0.
0, 1, 2, 58
Let q = 132/1103 - 212371/69489. Let u = -19/7 - q. Find a, given that 16/9 - 40/9*a + 28/9*a**2 + u*a**3 - 8/9*a**4 + 2/9*a**5 = 0.
-2, 1, 2
Factor -2/7*s**2 + 40 - 62/7*s.
-2*(s - 4)*(s + 35)/7
Suppose -70673*d**2 + 70678*d**2 - 866 - 369 + 30*d = 0. What is d?
-19, 13
Let q(b) be the second derivative of -b**6/2 + 4*b**5 - 5*b**4/4 - 25*b**3/3 - 8*b - 26. Solve q(k) = 0 for k.
-2/3, 0, 1, 5
Let s(v) = 5*v**3 - 40*v**2 - 30*v + 70. Let q(o) = 2*o**2 + o + 1. Let a(z) = -10*q(z) - s(z). Factor a(d).
-5*(d - 4)*(d - 2)*(d + 2)
Factor 2/7*j**2 + 780/7 + 14*j.
2*(j + 10)*(j + 39)/7
Let a be ((-99)/(-231))/(3*2/(-4696)). Let v = a - -7051/21. Suppose 1/3*b + 0 - v*b**2 = 0. What is b?
0, 1
Let -8/3*h**3 - 268/3*h - 122*h**2 + 30 = 0. Calculate h.
-45, -1, 1/4
Factor -2*x + 190*x**2 + x**3 + 4*x**3 - 43 - 18 - 3*x - 129.
5*(x - 1)*(x + 1)*(x + 38)
Solve 127*f**2 - 444*f**2 - 735*f + 52923 - 33*f**3 - 53373 - f**4 = 0 for f.
-15, -2, -1
Factor 0*d**2 + 14/19*d**4 + 2/19*d**5 - 288/19*d**3 + 0 + 0*d.
2*d**3*(d - 9)*(d + 16)/19
Let s be (-671)/77 + 9 + (-106)/(-21). Factor -4/9*u**2 - 16 - s*u.
-4*(u + 6)**2/9
Let u(q) = 4*q + 36. Let b be u(-8). What is d in -12*d**3 + d**2 + 2*d**2 - 3*d**b - d + 9*d + 4*d = 0?
-4, -1, 0, 1
Let d(t) be the second derivative of t**8/420 + 19*t**7/210 + t**6/5 - 109*t**3/6 - 9*t + 1. Let p(f) be the second derivative of d(f). What is i in p(i) = 0?
-18, -1, 0
Let d be (-61)/((-6832)/(-64)) + -26*2/(-42). Let f be (1/3)/((-5)/(-30)). Find b such that -2/3*b**f + 0 - d*b = 0.
-1, 0
Let k(i) be the second derivative of i**7/1260 - i**6/270 + i**5/180 - i**4/6 - 17*i**3/3 + 69*i + 2. Let z(f) be the third derivative of k(f). Solve z(w) = 0.
1/3, 1
Determine h so that 2/7*h**3 + 152/7*h**2 - 634/7*h + 480/7 = 0.
-80, 1, 3
Let j = 4268/96435 - -2/10715. Let w(n) be the first derivative of 11 - 2/15*n**2 + 0*n + j*n**3. Determine p, given that w(p) = 0.
0, 2
Let b(u) be the third derivative of -7*u**6/80 + 16*u**5/45 - 67*u**4/144 + u**3/18 + 21*u**2 - 41. Factor b(s).
-(s - 1)**2*(63*s - 2)/6
Factor -2430 - 1107*q - 3/5*q**3 + 264/5*q**2.
-3*(q - 45)**2*(q + 2)/5
Let d(m) be the first derivative of -m**2 - 4/3*m**3 + 199 + 20/3*m - 1/6*m**4. Factor d(s).
-2*(s - 1)*(s + 2)*(s + 5)/3
Let v(x) = x**3 - 11*x**2 - 2*x + 24. Let h = 206 - 195. Let p be v(h). What is w in 0 + 0*w - w**p + w**3 + 5/4*w**4 - 3/4*w**5 = 0?
-1, 0, 2/3, 2
Let u(c) be the second derivative of -c**4/54 + 25*c**3/27 + 26*c**2/9 + 25*c + 12. Suppose u(i) = 0. Calculate i.
-1, 26
Factor -l**3 - 3000*l + 3022*l - 9*l**3 - l**4 + 0*l**3 + 13*l**2.
-l*(l - 2)*(l + 1)*(l + 11)
Let d = -69 - -100. Factor 44*n - 48 + 11*n**3 - 24 + 16*n**3 - d*n**3 + 32*n**2.
-4*(n - 9)*(n - 1)*(n + 2)
Let b(c) be the second derivative of -1/54*c**4 + 0*c**2 + 2/27*c**3 + 10 - 8*c - 1/45*c**5 + 1/135*c**6. Factor b(z).
2*z*(z - 2)*(z - 1)*(z + 1)/9
Let g(c) be the second derivative of 8/3*c**3 + 8*c + 0 - 8/3*c**4 + c**5 - 2/15*c**6 + 0*c**2. Let g(q) = 0. Calculate q.
0, 1, 2
Let d = 303 + -300. Factor 190*l**3 - 31 + 1 - 46*l - 20*l**2 - 188*l**d + 6.
2*(l - 12)*(l + 1)**2
Let p(h) be the first derivative of h**3 - 1266*h**2 + 534252*h + 2518. Find i such that p(i) = 0.
422
Let a(g) be the first derivative of -2*g**3/21 - 170*g**2/7 + 1038*g/7 + 1127. Suppose a(t) = 0. What is t?
-173, 3
Let w(g) be the first derivative of -5*g**6/6 - 896*g**5 - 499515*g**4/2 + 2011520*g**3/3 - 1008005*g**2/2 + 12842. What is m in w(m) = 0?
-449, 0, 1
Suppose -16*m = -195 - 109. Factor -8 + 72*h + 19*h**2 - 4*h**4 - 4*h**3 - 68*h + 12*h**2 - m*h**2.
-4*(h - 1)**2*(h + 1)*(h + 2)
Let g(x) be the third derivative of -x**5/20 + 2*x**4 - 3*x**3 + 136*x**2. Let l(m) = 2*m**2 - 48*m + 15. Let j(w) = -5*g(w) - 6*l(w). Factor j(t).
3*t*(t + 16)
Factor 185/2*z - 10*z**3 + 25 - 65/2*z**2.
-5*(z - 2)*(z + 5)*(4*z + 1)/2
Let i(d) be the third derivative of -2/55*d**5 + 5*d**2 + 1/33*d**4 + 0*d + 0 + 4*d**3 + 1/180*d**6. Let u(v) be the first derivative of i(v). Factor u(a).
2*(a - 2)*(11*a - 2)/11
Let q(y) = -y**2 + 4*y**2 - 5*y**5 - 6 + 4*y - 5*y**2 + 8 - 11*y. Let c(z) = z**5 + z**3 + z. Let d(j) = 4*c(j) + q(j). What is h in d(h) = 0?
-2, -1, 1
Let u = -27102 + 27106. Let h(d) be the third derivative of 0*d + 4/15*d**5 + 10/3*d**u + 1/150*d**6 - 30*d**2 + 0 + 0*d**3. Suppose h(m) = 0. What is m?
-10, 0
Let r = 299 + -295. Find s, given that -63*s**3 - 134*s**4 + 177*s**2 - 36 + s**4 - 8*s**r + 84*s - 21*s**5 = 0.
-6, -1, 2/7, 1
Let b(m) = 7*m**4 + 234*m**3 - 898*m**2 + 892*m. Let z(y) = 33*y**4 + 936*y**3 - 3591*y**2 + 3570*y. Let u(p) = 9*b(p) - 2*z(p). Factor u(l).
-3*l*(l - 74)*(l - 2)**2
Suppose 10 = 5*s - 0. Let v = 8842 - 8840. Factor 5/2*c + 1/2 + v*c**s.
(c + 1)*(4*c + 1)/2
Let k(v) = 6*v**2 + 4 - 19*v + 7*v**2 + 4 - 2*v**2. Let h(x) = -5*x**2 + 9*x - 4. Let r = -332 - -336. Let s(q) = r*k(q) + 9*h(q). Factor s(o).
-(o - 4)*(o - 1)
Let z be (6*5/135)/((-610)/(-12810)). Factor 2/3*v**2 + 8 + z*v.
2*(v + 3)*(v + 4)/3
Factor -333*d - 115*d - 97*d - 280*d - 5*d**4 + 360 - 95*d**3 + 565*d**2.
-5*(d - 3)*(d - 1)**2*(d + 24)
Let p(t) be the second derivative of 128*t + 0*t**2 - 1/12*t**3 + 1/8*t**4 + 0. Factor p(f).
f*(3*f - 1)/2
Let d(u) be the second derivative of -u**7/126 - 79*u**6/15 - 14042*u**5/15 + 79*u**4/6 + 6241*u**3/2 - 2245*u. Determine k so that d(k) = 0.
-237, -1, 0, 1
Suppose 77*l + 578 = 94*l. Determine b, given that -50*b**2 - 2*b**3 - 2*b**3 + 194*b**2 - 110 - l - 862*b + 866*b = 0.
-1, 1, 36
Let c(q) = -2*q**3 + q**2 + q + 2. Let j be c(-2). Let -484*d + j + 429*d + 45*d**2 + d**4 - 5*d**3 - 6*d**4 = 0. Calculate d.
-4, 1
Let n = 23120/27 - 254158/297. Factor -1/11*z**2 - n - 5/11*z.
-(z + 2)*(z + 3)/11
Factor -36 - 3/2*l**2 + 21*l.
-3*(l - 12)*(l - 2)/2
Let 2/9*o**4 - 410/9*o - 2/3*o**2 + 92/3 + 46/3*o**3 = 0. What is o?
-69, -2, 1
Let q be (-6)/(-27)*18/1726. Let p = 857/2589 + q. Factor -4*s - 8/3 - p*s**3 - 2*s**2.
-(s + 2)**3/3
Let l = 15762481/33561 - -2/33561. Let y = l - 469. Factor -m + y - 5/3*m**2.
-(m + 1)*(5*m - 2)/3
Let r(n) = 2*n**2 + 334*n - 1516. Let g(z) = z**2 + 334*z - 1463. Let q(y) = -4*g(y) + 3*r(y). Factor q(m).
2*(m - 163)*(m - 4)
Let q(c) = -10*c**2 - 15*c. Suppose -6*v + 80 + 4 = 0. Let w(h) = -34*h + 11*h - v*h**2 - h**2. Let a(p) = -8*q(p) + 5*w(p). Factor a(i).
5*i*(i + 1)
Suppose -6*o + 66 = -3*o + 3*n, -2*o + 3*n + 19 = 0. Factor -11 + 9*r**3 - 33*r**2 - 21*r**3 + o - 15*r.
-3*(r + 1)*(r + 2)*(4*r - 1)
Let b be (8 + -4)/4 - -1. Suppose 6*o + 13 = 7*o. Let 0*h**b + 12 + 2*h - h**2 - o = 0. What is h?
1
Let v be (-2)/4 - ((-294)/12)/7. Factor 229*r**2 + 1274*r + 486*r + 73205*r**4 + 13427*r**2 - 41 + 864*r**2 + 121 + 53240*r**v.
5*(11*r + 2)**4
Let j(r) be the first derivative of 16*r**3 - 22*r - 36 - 1/3*r**4 - 288*r**2. Let h(k) be the first derivative of j(k). Let h(q) = 0. What is q?
12
Let q(g) = 20*g**4 + 40*g**3 - 91*g**2 - 102*g. Let j(h) = 55*h**4 + 110*h**3 - 250*h**2 - 280*h. Let u(s) = 9*j(s) - 25*q(s). Factor u(d).
-5*d*(d - 2)*(d + 1)*(d + 3)
Solve 36*g**3 + 11416*g**5 + 48*g - 11420*g**5 - 9*g**4 - 3*g**4 + 92*g**2 = 0.
-4, -1, 0, 3
Suppose 0 = -5*f - 4*d + 30, -f + 11 - 29 = -4*d. Factor -6*c**2 - c**3 + 2*c + 0*c**f + 11*c - 6*c.
-c*(c - 1)*(c + 7)
Let l(v) be the third derivative of v**6/200 - 13*v**5/50 + 11*v**4/5 + 4149*v**2 - v. Factor l(r).
3*r*(r - 22)*(r - 4)/5
Let q = 1509309 - 19620979/13. Factor -q*v**2 - 12/13 - 58/13*v + 8/13*v**3.
2*(v - 6)*(v + 1)*(4*v + 1)/13
Let m be (2/9)/((9000/(-54))/(-25)). Let p(w) be the second derivative of m*w**5 - 1/126*w**7 + 0 - 6*w + 0*w**2 + 0*