160*b**2.
4*b*(b + 6)*(7*b - 2)
Let b be 0 - ((-1008)/(-70) - 22). Let d(u) = -u**2 + 16*u - 26. Let c be d(14). Let 26/5*a**3 + 4/5 + 22/5*a + 6/5*a**4 + b*a**c = 0. What is a?
-2, -1, -1/3
Suppose -h = -4*p + 13, -5*h - 52 + 44 = -p. Factor -j**p - 4*j + 52/5*j**2 + 0.
-j*(j - 10)*(5*j - 2)/5
Let d = 10311 - 10305. Let s(j) be the third derivative of -4/75*j**5 + 1/150*j**d + 0 - 16*j**2 - 1/30*j**4 + 0*j + 8/15*j**3. Factor s(f).
4*(f - 4)*(f - 1)*(f + 1)/5
Suppose -14*k = 2*k - 96. Let v(t) be the second derivative of 0 + 0*t**2 + 25*t + 1/70*t**k + 1/28*t**4 + 0*t**3 - 3/70*t**5. Factor v(p).
3*p**2*(p - 1)**2/7
Let c be ((-144)/(-1326))/(-3) + (-2)/(-13). Let n(r) be the second derivative of 1/102*r**4 + 5/17*r**2 + c*r**3 + 0 - 16*r. Let n(f) = 0. What is f?
-5, -1
Let v(a) be the third derivative of -a**5/105 + 225*a**4/14 - 3*a**2 - 552. Factor v(d).
-4*d*(d - 675)/7
Suppose 89*w - 257 - 2235 = 0. Suppose 89*p = 103*p - w. Find f, given that 0 + 0*f - 3/7*f**5 - 3/7*f**p + 3/7*f**3 + 3/7*f**4 = 0.
-1, 0, 1
Let m(t) be the first derivative of -t**4/24 + 35*t**3/6 - 1225*t**2/4 - 137*t - 6. Let w(i) be the first derivative of m(i). Factor w(s).
-(s - 35)**2/2
Suppose 2*a = 2*r - 124, 3*r + 156 = -3*a - 0*a. Let g = 59 + a. Factor g*b + 2/3*b**2 - 4/3 + 2/3*b**4 - 2*b**3.
2*(b - 2)*(b - 1)**2*(b + 1)/3
Let c(u) be the third derivative of 1/525*u**7 + 10*u**2 + 0*u**5 + 0*u + 1/30*u**4 + 0 - 1/150*u**6 - 1/15*u**3. Determine b so that c(b) = 0.
-1, 1
Let s(y) = -17*y**3 + 81*y**2 - 451*y + 731. Let d(n) = -3*n**3 - n**2 + n - 1. Suppose -22*v - 54 = -32. Let l(f) = v*s(f) + 4*d(f). Factor l(a).
5*(a - 7)**2*(a - 3)
Let t = -99321 + 99325. Factor -5/2*f**2 + 0 - 15/2*f**3 + 15/2*f + 5/2*f**t.
5*f*(f - 3)*(f - 1)*(f + 1)/2
Let s be 7/(-165)*790/(-316). Let y(z) be the second derivative of 0 - s*z**4 + 7*z + 1/3*z**3 - 5/11*z**2 + 1/110*z**5. Factor y(u).
2*(u - 5)*(u - 1)**2/11
Let b(g) be the second derivative of -3*g**5/20 + 65*g**4/2 - 257*g**3/2 + 192*g**2 + 42*g. Suppose b(u) = 0. What is u?
1, 128
Let r(g) be the third derivative of -g**8/112 - 3*g**7/10 - 123*g**6/40 - 83*g**5/20 + 78*g**4 - 198*g**3 - g**2 + 431*g. Solve r(c) = 0 for c.
-11, -6, 1
Factor -1518 - 385*y**2 + 388*y**2 - 2736*y - 1221.
3*(y - 913)*(y + 1)
Let c(d) = 14*d**2 + 1994*d - 248000. Let v(t) = -37*t**2 - 3989*t + 495998. Let u(n) = -5*c(n) - 2*v(n). Factor u(k).
4*(k - 249)**2
Let i(l) be the third derivative of -127*l**2 + 1/270*l**5 + 1/18*l**4 - 1/945*l**7 + 1 - 7/540*l**6 + 0*l**3 + 1/1512*l**8 + 0*l. What is w in i(w) = 0?
-2, -1, 0, 1, 3
Let s(u) be the first derivative of u**6/720 - 13*u**5/240 + 5*u**4/6 + 32*u**3/3 + 136. Let i(y) be the third derivative of s(y). Factor i(q).
(q - 8)*(q - 5)/2
Let s = -139595/2 - -69798. Solve -s*r + 3/4 - 1/4*r**2 = 0.
-3, 1
Let y(s) be the second derivative of -35/18*s**4 - 1/135*s**6 - 37/90*s**5 + 0 + 55*s - 103/27*s**3 - 34/9*s**2. Find f such that y(f) = 0.
-34, -1
What is u in 5645*u - u**4 - 60*u**3 - 112 - 2800*u + 110*u**2 - 2785*u + 3*u**4 + 0*u**4 = 0?
-1, 1, 2, 28
Let i = 20459/7671 - 1/2557. Let v(d) be the first derivative of 12*d + 1/2*d**4 - 11*d**2 + i*d**3 + 8. Factor v(z).
2*(z - 1)**2*(z + 6)
Let o(w) = w**3 + 13*w**2 - 12*w + 32. Let t be o(-14). What is u in 3*u**5 - 30*u**3 - 33*u**3 + 91*u**3 + 9*u**t - 34*u**3 + 9 - 18*u**2 + 3*u = 0?
-3, -1, 1
Find b, given that -400*b**2 - 7*b - 86*b**4 - 176*b**3 + 114*b**4 + 135*b = 0.
-2, 0, 2/7, 8
Let m = -687 - -1283. Suppose 0 = 4*h + 588 - m. Determine c, given that 0 - 4/3*c**h - 8/3*c = 0.
-2, 0
Let k(w) be the second derivative of -143/9*w**4 - 361/3*w**2 - 1/45*w**6 + 6/5*w**5 + 0 - 76*w**3 - 25*w. Determine g so that k(g) = 0.
-1, 19
Let d = -83 - -28. Let s = 64 + d. Determine l so that -l**3 - 4*l - 28*l**5 + s*l**3 + 24*l**5 = 0.
-1, 0, 1
Let d be 48/160*(-70)/(-6). Let h(w) = -301*w + 304. Let r be h(1). Determine i so that r*i - d*i**5 - 7/2*i**2 - 33/2*i**4 - 39/2*i**3 + 0 = 0.
-3, -1, 0, 2/7
Let f be 414/(-18) + 23 - (-2)/6. Let i(p) be the first derivative of -16/3*p**3 + 50 - 3/2*p**4 + 4/5*p**5 + 0*p - 4*p**2 + f*p**6. Factor i(v).
2*v*(v - 2)*(v + 1)**2*(v + 2)
Let b be (0 - (-105)/50)/((-18)/(-10)). Let i(m) be the first derivative of -2/3*m + 12 - b*m**2 + 2/9*m**3 + 7/12*m**4. Factor i(h).
(h - 1)*(h + 1)*(7*h + 2)/3
Let r(f) be the third derivative of 0*f + 0 - 37/90*f**5 - 4/9*f**3 - 1/35*f**7 - 5/9*f**4 - 1/6*f**6 - 55*f**2. Find w, given that r(w) = 0.
-1, -2/3
Suppose -4*q - 48*r + 50 = -45*r, 5*r - 59 = 11. Factor -7/2*w**3 - 1/4*w**5 - 9/4*w - 1/2 - 4*w**q - 3/2*w**4.
-(w + 1)**4*(w + 2)/4
Let v(d) = -2*d - 24. Let b be v(-21). Let m(k) = 138 - b*k - 61 - 62. Let l(z) = -z**2 + 17*z - 14. Let i(h) = 3*l(h) + 2*m(h). Factor i(q).
-3*(q - 4)*(q - 1)
Suppose 473 = 3*j - 5*v + 10*v, 4*j = -4*v + 628. Let n be -7 - j/(-21) - 15/35. Factor 2*y**4 + n + 13/3*y**3 + 4*y**2 + 4/3*y + 1/3*y**5.
y*(y + 1)**2*(y + 2)**2/3
Factor 0 + 28/5*j**4 - 2/5*j**5 + 0*j + 0*j**2 - 98/5*j**3.
-2*j**3*(j - 7)**2/5
Suppose -3*t + 252 = 4*t. Factor -3 + 4*v - t*v**2 + 30*v**2 + 5.
-2*(v - 1)*(3*v + 1)
Let q(d) be the second derivative of -d**6/50 - 207*d**5/100 + 15*d**4/4 + 353*d**3/10 + 63*d**2 - 4907*d. Let q(n) = 0. What is n?
-70, -1, 3
Let x(l) be the second derivative of 1/10*l**5 + 1/60*l**6 + 1/6*l**4 + 0*l**3 - 2 + 0*l**2 - 6*l. Factor x(j).
j**2*(j + 2)**2/2
Suppose -715*w = -188 - 1688 - 269. Determine v, given that -8/3*v**2 + 0 + 0*v - 2/3*v**4 + 10/3*v**w = 0.
0, 1, 4
Let d(s) be the third derivative of -s**7/420 - 17*s**6/240 - 3*s**5/8 - 43*s**4/48 - 7*s**3/6 - 204*s**2. Determine j, given that d(j) = 0.
-14, -1
Factor 4/7*h**2 + 640000/7 - 3200/7*h.
4*(h - 400)**2/7
Let k(t) be the first derivative of -t**6/360 + 7*t**5/120 + 92*t**3/3 + 9. Let p(z) be the third derivative of k(z). Find j such that p(j) = 0.
0, 7
Let n(u) = 6*u**2 + u - 7. Let i(v) = -2*v**3 + 226*v**2 - 1336*v + 1112. Let r(p) = i(p) + 8*n(p). What is l in r(l) = 0?
1, 4, 132
Factor -1/4*j**4 + 0 - 17/4*j**3 - 21*j + 20*j**2.
-j*(j - 2)**2*(j + 21)/4
What is z in -7/2*z**3 - 2*z + 0 + z**5 + 9/4*z**4 - 9*z**2 = 0?
-2, -1/4, 0, 2
Let r be (-27)/55 - 29844/(-27357). Solve r*h**4 - 36/5*h**3 - 324/5*h + 162/5*h**2 + 243/5 = 0.
3
Let w(l) be the first derivative of 5/2*l**4 - 148 + 4*l - 2/3*l**3 - 11/3*l**2 - 14/15*l**5. Factor w(y).
-2*(y - 1)**3*(7*y + 6)/3
Suppose -8*b - 16 = -9*b. Let 44*m + 38*m + b*m**3 - 20*m**2 - 106*m = 0. What is m?
-3/4, 0, 2
Let x = -18167 - -145349/8. Solve -1/8*k**3 - 7/8 + x*k - 5/8*k**2 = 0.
-7, 1
Let 75625/4 - 275/2*g + 1/4*g**2 = 0. What is g?
275
Let o = -195980 - -195983. Factor 8/5*x + 48/5*x**o - 4*x**4 + 0 - 36/5*x**2.
-4*x*(x - 1)**2*(5*x - 2)/5
Let c be -805 + 810 + 23/1 - (-7 + 1). What is w in 0 + 40/13*w**4 - 360/13*w**2 - 50/13*w**5 + c*w**3 + 72/13*w = 0?
-3, 0, 2/5, 3
Let c(n) be the second derivative of n**4/24 - n**3/4 + n**2/2 + 2383*n. Factor c(o).
(o - 2)*(o - 1)/2
Let c = -15/983 + 7031/9830. Let i(b) be the first derivative of 0*b**2 + 1/3*b**3 - 20 + c*b**5 + 0*b - 9/8*b**4. Factor i(f).
f**2*(f - 1)*(7*f - 2)/2
Let t(l) = -12*l**2 - 3950*l - 7831. Let p(v) = -44*v**2 - 14484*v - 28714. Let g(z) = -7*p(z) + 26*t(z). Factor g(o).
-4*(o + 2)*(o + 326)
Let i(o) = -o**3 + o**2 + 32*o + 41. Let p = -16 - -18. Let t(u) = u**3 - u**2 + 1. Let m(j) = p*i(j) - 2*t(j). Solve m(w) = 0 for w.
-2, 5
Let p be 446/(-16) + -2*(-3)/(-48). Let y be (p/6 - -4)*(-6)/2. Solve -11 + y - 13*i**2 + 24*i**2 - 12*i**2 + 6*i = 0.
3
Let s(u) be the second derivative of -u**7/240 + u**6/30 - u**5/20 - 3*u**4/4 + u**3/3 - 21*u. Let g(p) be the third derivative of s(p). Factor g(n).
-3*(n - 2)*(7*n - 2)/2
Suppose -5*k - 5 = -0*k, 2*b = -k + 5. Factor -86*x**5 + 81*x**5 + 40*x**2 - 10*x**4 + 10 + 35*x + 6*x**b - 6*x**3 + 10*x**3.
-5*(x - 2)*(x + 1)**4
Suppose 24*l = 23025 - 5073. Let f = l - 748. Suppose 2/3*d**3 - 4*d**2 + f + 6*d = 0. Calculate d.
0, 3
Let n(m) = -15*m**3 + 1302*m**2 - 36*m + 18. Let t(a) = -7*a**3 + 651*a**2 - 16*a + 8. Let w(p) = -4*n(p) + 9*t(p). What is x in w(x) = 0?
0, 217
Let y(g) = 2*g**2 + 2*g + 49. Let h be y(0). Let d = 551 + h. Factor -285*f - 50*f - 337*f - 686*f**3 - d*f**2 - 128 - 576*f**2.
-2*(7*f + 4)**3
