be the second derivative of -4*z - 5/28*z**4 + 11 + 3*z**3 - 24/7*z**2. Factor c(v).
-3*(v - 8)*(5*v - 2)/7
Suppose 3*i + 85*s - 99*s - 121 = 0, i - 2*s = 19. Factor -21/5*w**2 - 3/5*w**i - 48/5*w - 36/5.
-3*(w + 2)**2*(w + 3)/5
What is v in -10*v - 44/3*v**2 + 10*v**3 + 0 - 4/3*v**4 = 0?
-1/2, 0, 3, 5
Find f such that 1848 + 176*f**2 - 732*f - 13*f**3 - 80*f**2 - 1408*f + 200*f**2 + 9*f**3 = 0.
1, 7, 66
Let r(k) be the second derivative of -3*k**5/80 + 233*k**4/16 - 1371*k**3/8 + 6129*k**2/8 + 745*k. Factor r(l).
-3*(l - 227)*(l - 3)**2/4
Let w be 72 - ((16/4 - 10) + 2). Let c = 80 - w. Let 6*f - f**4 - 9*f**3 + 13*f**c + 58*f**2 - 43*f**2 - 24*f**3 = 0. What is f?
-1/4, 0, 1, 2
Let o = -128157 + 384472/3. Suppose -2 + 1/3*v**2 + o*v = 0. Calculate v.
-3, 2
Let x(z) be the second derivative of z**7/42 - z**6/60 - 19*z**5/40 - 31*z**4/24 - 19*z**3/12 - z**2 + 378*z. Suppose x(v) = 0. Calculate v.
-1, -1/2, 4
Let p = -1071234 - -1071239. Let -2/5*n**p + 24/5*n**4 - 56/5*n - 86/5*n**3 + 24*n**2 + 0 = 0. Calculate n.
0, 1, 2, 7
Let m(g) = g**4 + 59*g**3 - 135*g**2 - 183*g + 2. Let h(v) = 9*v**4 + 591*v**3 - 1350*v**2 - 1827*v + 21. Let a(w) = 2*h(w) - 21*m(w). Factor a(u).
-3*u*(u - 3)*(u + 1)*(u + 21)
Let j(a) be the third derivative of 4*a**5/75 - 59*a**4/30 + 28*a**3/5 + a**2 - 35*a - 20. Factor j(p).
4*(p - 14)*(4*p - 3)/5
Let x be -1608*108/3168 - -55. Factor 0 + 6/11*r**3 + 0*r + x*r**5 + 2/11*r**2 + 6/11*r**4.
2*r**2*(r + 1)**3/11
Factor 0 + 1/8*n**2 - 11*n.
n*(n - 88)/8
Let g = -18515 + 18525. Let a(s) be the third derivative of 0*s + 0 + 0*s**4 + 1/336*s**8 + 0*s**3 - 1/60*s**5 + 1/210*s**7 + g*s**2 - 1/120*s**6. Factor a(n).
n**2*(n - 1)*(n + 1)**2
Let k be ((-4)/(-60))/(2 - 216/120). Determine r so that 0 + 0*r + 1/3*r**3 - k*r**5 + r**4 - r**2 = 0.
-1, 0, 1, 3
Factor 204*s + 243/5*s**3 - 3/5*s**4 + 1008/5*s**2 + 0.
-3*s*(s - 85)*(s + 2)**2/5
Let o(m) = m**3 + 3*m**2 + 42*m + 128. Let c be o(-3). Let h(r) be the second derivative of c*r**2 + 1/3*r**4 - 2*r + 4/3*r**3 + 0. Factor h(s).
4*(s + 1)**2
Let m(o) = -o**5 + 3*o**4 + o**3 + 3*o. Let u(q) = q**4 + q. Suppose -s - 21 = -0*z - 3*z, -z = -5*s - 21. Let x(l) = z*u(l) - 2*m(l). Factor x(h).
2*h**3*(h - 1)*(h + 1)
What is m in 148*m**3 + 2/3*m**5 + 0 + 0*m**2 + 0*m - 226/3*m**4 = 0?
0, 2, 111
Let m(q) be the second derivative of q**4/3 + 1336*q**3 + 2008008*q**2 + 5462*q. Determine t, given that m(t) = 0.
-1002
Let g(o) = -64*o**2 + 2*o + 659. Let y(i) = 23*i**2 - i - 220. Let t(x) = 4*g(x) + 11*y(x). Let t(c) = 0. Calculate c.
-9, 8
Let b(i) = i**2 - 17*i + 103. Let c be b(23). Let l = c + -1201/5. Factor -8/5*o**2 + 0*o**3 + 4/5 + 0*o + l*o**4.
4*(o - 1)**2*(o + 1)**2/5
Let y = -1512/5 + 304. Let p = -581/137 - -3727/685. Determine d so that -2/5*d**2 + y*d - p = 0.
1, 3
Factor 4/21*t**4 - 40/21*t**3 + 0 + 2/21*t**5 + 0*t + 16/7*t**2.
2*t**2*(t - 2)**2*(t + 6)/21
Factor -5458208/9 - 2/9*h**2 - 6608/9*h.
-2*(h + 1652)**2/9
Let i be (188/(-25))/((-642964)/5640 - -114). Solve 0 - 2256/5*a**2 + i*a**3 + 32/5*a - 415292/5*a**4 = 0.
0, 2/47
Let d be 1316/77 - 460/1265. Factor d*a**3 - 6348/11*a**2 - 2/11*a**4 + 97336/11*a - 559682/11.
-2*(a - 23)**4/11
Let f be (-28)/54*(-2285 + 2279). Factor 4/3*k**5 + 20/9*k**3 + f*k**4 + 0 + 4/9*k**2 + 0*k.
4*k**2*(k + 1)**2*(3*k + 1)/9
Let -422/3*l**2 - 260/3*l - 44/3*l**3 + 0 + 2*l**4 = 0. Calculate l.
-5, -2/3, 0, 13
Let p be (4 + (-136)/32)*2832/(-1593). Solve -10/9*g**2 + 0 + 2/9*g**4 - 4/3*g + p*g**3 = 0.
-3, -1, 0, 2
What is a in -351*a**2 - 7 - 264*a**4 + 982*a**2 - 4*a**3 + 74*a**3 - 22*a - 11 - 397*a**2 = 0?
-9/11, -1/4, 1/3, 1
Suppose -168*h - 294*h**2 - 196*h**2 - 39*h**2 + 2*h**3 - 16 - 560*h**3 - 19*h**2 - 162*h**4 = 0. What is h?
-2, -1, -2/9
Let a(r) = 39*r**2 - 242*r - 622. Let p(m) = -58*m**2 + 364*m + 934. Let y(q) = -13*a(q) - 9*p(q). What is l in y(l) = 0?
-2, 32/3
Let r(q) be the second derivative of 3/10*q**5 + 0*q**3 - 2/15*q**6 + 194*q + 1 + 0*q**2 + 0*q**4 - 1/21*q**7. Solve r(z) = 0.
-3, 0, 1
Suppose -4*r + 3*w = -23, -4*r - 12*w = -9*w + 7. Factor -4*k**2 + r*k + 9*k - 15 + 12 - 8*k**3 - 3*k + 7.
-4*(k - 1)*(k + 1)*(2*k + 1)
Let k(a) = 2*a**3 + 20*a**2 + 17*a - 7. Let t be k(-9). Factor -2 - t + 12*c**3 + 66*c - 78*c + 4*c**2.
4*(c - 1)*(c + 1)*(3*c + 1)
Suppose -118 = -g - g - 5*j, 2*g - 154 = 4*j. Let u = g - 35. Factor u + 2*q**2 + 12 - 28*q + 52.
2*(q - 7)**2
Let n = 12 - 10. Let m be (-1 + 3)/(3 + 4/(-2)). Factor -9*t**2 - t**n - t - 3*t - 2*t**m.
-4*t*(3*t + 1)
Determine n so that 16/3*n**2 - 2/15*n**3 - 3872/15 - 616/15*n = 0.
-4, 22
Suppose 6*k - 312 = 18*k. Let y be (-4)/k + (-136)/(-130). Find v such that 0 + 0*v + 0*v**2 - 3/5*v**3 - 9/5*v**4 - y*v**5 = 0.
-1, -1/2, 0
Let f(a) be the first derivative of a**6/10 - 558*a**5/25 + 8649*a**4/5 - 238328*a**3/5 + 368. Suppose f(g) = 0. Calculate g.
0, 62
Suppose -15 = -8*g + 23 - 6. Let v(o) be the second derivative of 0 - 9*o**2 - 13/24*o**4 - 5*o - 1/40*o**5 - g*o**3. Factor v(k).
-(k + 1)*(k + 6)**2/2
Let c = -18207 - -54623/3. Factor 14/3*g + 16/3 - c*g**2.
-2*(g - 8)*(g + 1)/3
Factor -2542*h**3 - 2536*h**3 + 5083*h**3 - 155*h + 150*h**2.
5*h*(h - 1)*(h + 31)
Let y(c) be the second derivative of c**4/36 + 760*c**3/9 + 288800*c**2/3 + 4045*c. Factor y(j).
(j + 760)**2/3
Let x = -645 - -645. Suppose -3*y - 12 = -3, 3*q + 3*y = x. Factor -48/5*j + 18/5*j**2 - 2/5*j**q + 32/5.
-2*(j - 4)**2*(j - 1)/5
Let k = 1479/7 - 36961/175. Let q(m) be the first derivative of -1 + 0*m**4 - 8/5*m**2 + 6/5*m + 4/5*m**3 - k*m**5. Factor q(z).
-2*(z - 1)**3*(z + 3)/5
Factor -32*r**2 + 0 + 8/3*r**3 + 2/9*r**4 + 640/9*r.
2*r*(r - 4)**2*(r + 20)/9
Let i = -2573 + 20587/8. Let v(w) be the first derivative of -15/8*w**2 + 16 - 3/2*w - 1/4*w**3 + i*w**4. Solve v(j) = 0.
-1, -1/2, 2
Let i(m) be the first derivative of -8*m**5/35 - m**4/2 - 4*m**3/21 + m**2/7 - 218. Find o such that i(o) = 0.
-1, 0, 1/4
Let c be 18 + -15 + 1*-6. Let g be c - (11 + -1)*(-2)/4. Factor -30 + 37*j**2 - 21*j**g - 85*j - 41*j**2.
-5*(j + 3)*(5*j + 2)
Suppose 0*c = 4*m + c, 0 = -4*m - 347*c + 352*c. Let -2/7*o**2 + 2/7 + m*o = 0. What is o?
-1, 1
Let u(l) = -31744*l - 634878. Let i be u(-20). Determine o so that -7/2*o - 6 - 1/4*o**i = 0.
-12, -2
Let o(y) be the second derivative of -y**4/16 + 27*y**3/8 - 27*y**2 - 201*y + 3. Solve o(t) = 0.
3, 24
Suppose -2*n - 5*f = -8 + 2, -2*n + 6 = 4*f. Suppose 3*w**2 + 46*w - n*w + 23*w - 69 = 0. What is w?
-23, 1
Let y be (2 - 3) + ((-9)/3 - -6). Suppose -y*i = 5*l - 25, -l + 2*l - 5*i = 5. Factor -16 + 40 + 60*x + 21 - 10*x**2 + l*x**4 - 20*x**3.
5*(x - 3)**2*(x + 1)**2
Let s(n) be the first derivative of n**5/75 - 53*n**4/15 + 5618*n**3/15 + 63*n**2/2 + 109. Let u(i) be the second derivative of s(i). Factor u(z).
4*(z - 53)**2/5
Let g(r) = 4*r**2 - 2*r - 3. Let h(l) = 3*l**3 - 1146*l**2 - 3124*l - 1572. Let f(d) = 4*g(d) - h(d). Factor f(o).
-(o - 390)*(o + 2)*(3*o + 2)
Let y = 12751 - 12748. Factor 15/4*k**4 + 0*k**2 - 9/2*k**y + 0 + 0*k + 3/4*k**5.
3*k**3*(k - 1)*(k + 6)/4
Suppose -18*j - 46 = -19*j. Let n be (-3 - j/(-14))*14. Suppose -5*d**4 - 20 - 13*d**4 + 40*d**2 + 0*d**3 - 8*d**3 - 2*d**4 + n*d + 4*d**5 = 0. What is d?
-1, 1, 5
Let a(b) = -b**2 + 13*b - 10. Let o be a(10). Let v(q) = 4*q - 78. Let c be v(o). Factor -1/10*l + 1/10*l**3 + 1/10*l**c - 1/10*l**4 + 0.
-l*(l - 1)**2*(l + 1)/10
Let o be ((-6)/(-23))/(8964/137448). Let -1/5*q**5 + 0*q + 8*q**2 + 36/5*q**3 + 6/5*q**o + 0 = 0. What is q?
-2, 0, 10
Let j = 26932 - 80792/3. Let y(a) be the first derivative of -14 - j*a**3 - 16*a**2 - 28*a. Determine s, given that y(s) = 0.
-7, -1
Let s(i) be the first derivative of 49*i**4/26 - 14*i**3 + 144*i**2/13 - 40*i/13 + 1095. Find o such that s(o) = 0.
2/7, 5
Let g(s) = -84*s**2 - 1560*s + 1580. Let b(j) = 13*j**2 + 240*j - 243. Let f(c) = 32*b(c) + 5*g(c). Factor f(r).
-4*(r - 1)*(r + 31)
Let s(t) be the first derivative of 40*t + 14*t**2 + 78 + 4/3*t**3. Determine z so that s(z) = 0.
-5, -2
Let m(w) be the first derivative of 3*w**5/40 - 83*w**4/8 + 420*w**3 + 1323*w**2 - 205*w - 279. Let o(p) be the first derivative of m(p). Factor o(x).
3*(x - 42)**2*(x + 1)/2
Let z be ((-1455095)/345)/(-2*(-22)/6). Let w = z + 1151/2. Factor -2/11*t**3 + 10/11*t - w*t**2 + 12/11.