the first derivative of -51/4*v**4 - j*v**2 + 24*v + 19 + 9/5*v**5 + 34*v**3. Factor c(i).
3*(i - 2)**2*(i - 1)*(3*i - 2)
Let z(m) = 7*m - 53. Let d be z(8). Factor 7*f**4 + 18*f**4 - 28*f + 36*f**2 - 20*f**d + 3 + 5 - 21*f**4.
4*(f - 2)*(f - 1)**3
Suppose -2*x - 88 = -10*x. Factor 38*q**3 - 26*q**3 - x - 114*q**2 - 192*q + 107 - 27*q**3.
-3*(q + 4)**2*(5*q - 2)
Let p = 39256/3 - 13083. Let m(x) be the first derivative of -p*x**3 - x**5 + 13/4*x**4 + 0*x**2 + 53 + 0*x - 1/6*x**6. Find c such that m(c) = 0.
-7, 0, 1
Let j be (-6)/(-1)*(9/36 + 35/84). Let x(v) be the second derivative of 0 - 14*v - 27/4*v**3 + 81/2*v**2 - 3/160*v**5 + 9/16*v**j. What is m in x(m) = 0?
6
Let h be (347/(-1) - -1)/(30/(-15)). Factor -175*t**3 - h*t**3 + 24*t + 369*t**3 + 42*t**2 + 3*t**4.
3*t*(t + 1)*(t + 2)*(t + 4)
Let d(x) be the first derivative of 0*x - 2/5*x**5 - 50 - 3*x**2 - 5/2*x**4 - 14/3*x**3. Factor d(c).
-2*c*(c + 1)**2*(c + 3)
Let y = -1164 + 1268. Suppose -3*g + 17 = 2*p, 0 = y*g - 101*g - 3*p + 3. Let 8/7*z**4 + 0*z**2 + 0 + 12/7*z**g - 4/7*z = 0. What is z?
-1, 0, 1/2
Let h(g) be the second derivative of -1/294*g**7 + 0*g**4 + 0*g**2 + 1/42*g**6 - 5*g + 0*g**3 + 2 - 1/35*g**5. Factor h(j).
-j**3*(j - 4)*(j - 1)/7
Suppose 0 - 1404/7*m**3 + 4050/7*m**2 - 3/7*m**5 - 567*m + 174/7*m**4 = 0. What is m?
0, 3, 49
Suppose -3/4*g**3 - 18375/4 - 2625/4*g + 195/4*g**2 = 0. What is g?
-5, 35
Let y(w) be the third derivative of -w**6/30 - w**5/15 - 9319*w**2. Suppose y(t) = 0. Calculate t.
-1, 0
Let l(w) = -w**3 + 15*w**2 - 2*w + 12. Let c be l(15). Let a(i) = 2*i + 39. Let h be a(c). Suppose -12*s - 4*s**h + 1 + 3 - 15*s**2 + 27*s**2 = 0. Calculate s.
1
Let r(a) be the second derivative of -a**6/40 + 3*a**5/10 + 129*a**4/16 + 49*a**3 + 102*a**2 - 636*a. Determine x so that r(x) = 0.
-4, -1, 17
Suppose 3*u + 3*c = 6, 4*u - 3 - 30 = c. Suppose -17*s + 109 = u. Factor -3*z**2 - 15/2*z + 6*z**4 + s*z**3 - 3 + 3/2*z**5.
3*(z - 1)*(z + 1)**3*(z + 2)/2
Let y be 65/945 + (312/162)/26 - 21/(-539). Determine o so that -18/11*o + 2/11*o**3 + 0 - y*o**4 + 18/11*o**2 = 0.
-3, 0, 1, 3
Let w(j) = -j**3 + 5*j**2 - 3*j. Let o(n) = 24*n**3 - 112*n**2 + 16*n + 50. Let p(q) = -2*o(q) - 44*w(q). Determine t, given that p(t) = 0.
-5, 1, 5
Let q be (-16)/24*-45 + 3. Factor -31*n**2 - q*n**2 - 38*n**2 + 127*n**2 - 30*n**2 + 65 + 60*n.
-5*(n - 13)*(n + 1)
Suppose 4480*t - 4477*t = 0. Let u(l) be the second derivative of t + 1/6*l**4 + 14*l + 2/3*l**3 + 0*l**2 + 1/80*l**5. Solve u(k) = 0.
-4, 0
Suppose -j - 2 = -2*q, -q = -0*j - j. Suppose -3*v = -2*r - 16, r + 2 = v - 5. Solve -14*g**3 - 8*g**4 + 4*g**v + 3*g**5 - j*g**4 + 5*g**5 = 0.
-1, 0, 1/4, 2
Let f = 1 - -8. Let b(n) = -n**3 + 8*n**2 + 11*n - 13. Let j be b(f). Factor -253 + 253 + 30*i + j*i**2.
5*i*(i + 6)
Let l(j) be the third derivative of -j**5/480 - 5*j**4/96 - j**3/3 + j**2 + 299. Factor l(k).
-(k + 2)*(k + 8)/8
Let z = 6212187/11 + -564741. Let f be (0 - -1) + (4 - 2). Determine k, given that -16/11 - z*k**4 - 118/11*k**f + 8*k - 4*k**2 = 0.
-2, 2/9, 1/2
Factor 33786 - 4*v**2 - 101392 - v**2 + 85*v + 33768 + 33758.
-5*(v - 16)*(v - 1)
Suppose 2*i - 4*w - 12 = 0, w - 3 = -5. Suppose k - 68 = -0*k - 4*n, -5*k + 230 = -i*n. Let 12*j**3 - 51*j**2 + 3 - 8*j**3 - 15 - k*j - 19*j**3 = 0. What is j?
-2, -1, -2/5
Let b(r) be the first derivative of -35/2*r**2 - 5/3*r**3 + 40*r + 55. Determine z so that b(z) = 0.
-8, 1
Let l = -71/162 - -1583/162. Factor 1/3*g**2 + l*g + 196/3.
(g + 14)**2/3
Let x(w) be the third derivative of 0*w**3 + 0 + 1/20*w**5 + 1/8*w**4 + w**2 - 13*w. Find a such that x(a) = 0.
-1, 0
Let x = 680 + -284. What is f in 466*f**3 + 33*f**5 - x*f**3 - 100*f - 135*f**2 + 20 + 115*f**4 - 3*f**5 = 0?
-2, -1, 1/6, 1
Let 1528*a - 167 + 653*a**2 - 1489 + 584*a - 465*a**2 - 648 + 4*a**3 = 0. Calculate a.
-24, 1
Let w(g) = -2*g**3 - 7*g**2 - 14*g - 7. Let s = 115 - 116. Let a(x) = -x**3 + x**2 - x - 1. Let q(t) = s*w(t) + a(t). Factor q(k).
(k + 1)**2*(k + 6)
Let h(k) be the third derivative of -k**8/1344 + k**7/56 - 11*k**6/160 - 23*k**5/48 - 11*k**4/16 - 734*k**2. Find j, given that h(j) = 0.
-1, 0, 6, 11
Let q be 18*(16/3 - 0). Let y = 98 - q. Factor -2*p + 38*p**y - 37*p**2 + 6 + 9*p.
(p + 1)*(p + 6)
Let f = -6960 + 6960. Let j(u) be the third derivative of 1/660*u**6 - 41*u**2 - 1/1155*u**7 + 0*u**4 + 0*u**5 + 0*u**3 + 0 + f*u. Factor j(v).
-2*v**3*(v - 1)/11
Let p be 2 + (-44)/16 + (-3)/(-36)*141. Let z(o) be the second derivative of -o**3 - 1/8*o**4 - 3*o**2 + p*o + 0. Factor z(s).
-3*(s + 2)**2/2
Let s(c) be the first derivative of 225/4*c**2 + 55/8*c**4 + 45*c + 1/2*c**5 + 185/6*c**3 - 209. Determine u so that s(u) = 0.
-6, -3, -1
Let w(y) be the first derivative of -10469*y**6/33 - 24624*y**5/55 - 1883*y**4/22 - 24*y**3/11 + 4*y**2/11 - 6475. Find c such that w(c) = 0.
-1, -2/19, 0, 1/29
Let t(f) be the second derivative of 129*f - 1/190*f**5 + 0*f**2 + 0 - 2/57*f**4 + 5/57*f**3. Factor t(n).
-2*n*(n - 1)*(n + 5)/19
Let r = 353 + -349. Factor -240*n**r + 76*n**3 + 432*n**2 + 3*n**5 - 29*n**3 + 243*n + 192*n**4 + 91*n**3.
3*n*(n - 9)**2*(n + 1)**2
Let r(i) be the first derivative of i**4 + 12*i**3 + 22*i**2 - 84*i - 2831. Suppose r(d) = 0. What is d?
-7, -3, 1
Let c(q) be the second derivative of 5*q**4/12 - 100*q**3/3 - 205*q**2/2 - 5*q - 22. Factor c(h).
5*(h - 41)*(h + 1)
Let b be 6/1*((-12)/(-18))/2. Suppose -b*c + 8 = 5*x + 6, -4*x + 16 = -2*c. Factor 1/3*k**5 - 2/3*k**3 - 2/3*k**x + 1/3 + 1/3*k + 1/3*k**4.
(k - 1)**2*(k + 1)**3/3
Let y(u) be the second derivative of 5*u**7/42 - u**6/6 - 9*u**5/2 + 125*u**4/6 - 235*u**3/6 + 75*u**2/2 + 511*u. Let y(k) = 0. What is k?
-5, 1, 3
Let a(w) be the third derivative of w**7/945 - 53*w**6/540 + 88*w**5/45 - 41*w**4/3 + 13*w**2 - 14*w. Factor a(y).
2*y*(y - 41)*(y - 6)**2/9
Let j(b) be the second derivative of -1/20*b**5 - 1/3*b**4 - 4 - 4*b + 0*b**2 - 1/2*b**3. Let j(u) = 0. What is u?
-3, -1, 0
Solve -52*s + 120 + 149*s + 93*s**2 + 17*s**2 - 132*s**2 + s**3 = 0.
-1, 8, 15
Factor 796/3*c**3 - 159200/3*c - 26134*c**2 - 2/3*c**4 - 80000/3.
-2*(c - 200)**2*(c + 1)**2/3
Suppose 2*b + 5 = 3*b. Suppose 0*x + b*t + 18 = -x, 3*x - 2 = -t. Factor -10*r**4 + 6*r**3 + r**2 - 6*r**x + 9*r**3.
-5*r**2*(r - 1)*(2*r - 1)
Let s(x) = 6*x**2 - 5330*x - 3540. Let u(k) = -48*k**2 + 42652*k + 28320. Let d(l) = -17*s(l) - 2*u(l). Determine w so that d(w) = 0.
-2/3, 885
Let o(h) = 134*h - 43*h - 48 - 40*h - 42*h + h**2. Let n be o(4). What is p in -30*p**3 + 45*p**n + 20/3*p**2 + 0*p - 45/2*p**5 + 0 = 0?
0, 2/3
Let w = -137069/63 + 15240/7. Factor 1/9*t**5 + 2*t**3 + 7/9*t**4 + w*t + 1/3 + 22/9*t**2.
(t + 1)**4*(t + 3)/9
Suppose -5 = 5*m - v, 0 = -2*m - 2*m + 2*v - 4. Let p = 24 - m. Factor 4 - p*l + 2 + 20*l**2 - 1.
5*(l - 1)*(4*l - 1)
Let c be 2/(-3)*3*-12. Suppose y + c = 9*y. Determine g so that -2 - 4*g**2 - 5*g**3 - 5*g**3 + 46*g**y - 36*g + 6 = 0.
-1, 1/9, 1
Let g be (1427/(-4))/(48/(-16) + 2). Let l = 358 - g. What is j in -5 - l*j**2 - 5*j = 0?
-2
Let l be (-6)/(-45) + -18*(-60)/(-4050) + (-28)/(-10). Let l*y - 18*y**3 + 18*y**4 + 0 + 0*y**2 = 0. Calculate y.
-1/3, 0, 2/3
Factor -857*d**2 - 40*d**4 + 62*d**4 - 26*d**4 - 11232 + 6480*d - 511*d**2 + 124*d**3.
-4*(d - 13)*(d - 6)**3
Let y(n) be the second derivative of -n**5/130 + 185*n**4/78 + 382*n**3/39 - 1496*n**2/13 + n - 1401. Find t, given that y(t) = 0.
-4, 2, 187
Solve -6952/5*f**2 + 2922/5*f + 4832/5*f**3 - 198/5 - 384/5*f**4 = 0 for f.
1/12, 3/4, 11
Suppose 996 = a - k, 0 = 5*a - 4*k - 7424 + 2446. Let m be -11 + (a/35 - 11). Determine n so that 6/5*n**2 + 0*n - 1/5*n**3 - m = 0.
-2, 4
Let z = 1343 + -1332. Suppose -2*o - 16 = -5*t, 5*o - 9 + z = 3*t. What is j in 0 + 0*j + 2/9*j**4 + 4/9*j**3 + 2/9*j**o = 0?
-1, 0
Suppose 4 = -2*a, a - 12 = -3*x + 34. Suppose 22 - 10*d + 8*d**2 - x - 3*d - d**3 = 0. What is d?
1, 6
Let x(i) be the third derivative of -i**6/120 - 29*i**5/15 - 223*i**4/8 - 165*i**3 - 45*i**2 + 7*i + 1. Factor x(c).
-(c + 3)**2*(c + 110)
Let y be 20 + -13 + 14 + -21. Let s(b) be the third derivative of 0*b**3 - 29*b**2 - 1/300*b**5 + 1/525*b**7 + 0 + 1/600*b**6 + y*b**4 + 0*b. Factor s(o).
o**2*(o + 1)*(2*o - 1)/5
Factor -1566*c**2 + 1568*c**2 - 2410 - 1086*c + 3494.
2*(c - 542)*(c - 1)
Let q = -6520 - -