e second derivative of 1521/14*a**2 - 39*a + 1/84*a**4 - 13/7*a**3 + 1. Let m(f) = 0. What is f?
39
Let y be (208/(-12))/26*2/(-4). Let p(x) be the second derivative of -1/90*x**6 - 1/10*x**5 + 11*x - 5/9*x**3 - 1/2*x**2 + 0 - y*x**4. Solve p(r) = 0.
-3, -1
Let m(f) be the second derivative of 1/15*f**6 + 4/3*f**3 + 12*f**2 - 2/5*f**5 + 114*f + 0 - 13/6*f**4. What is j in m(j) = 0?
-2, -1, 1, 6
Let z(w) be the first derivative of -w**4/18 + 2*w**3/3 - 24*w + 38. Determine o, given that z(o) = 0.
-3, 6
Let b = -1584 + 1590. Let x(w) be the second derivative of 13/12*w**4 + 3/10*w**b + w**5 + 1/3*w**3 + 0*w**2 - 13*w + 0. What is d in x(d) = 0?
-1, -2/9, 0
Let z(k) be the first derivative of 0*k + 4 + 0*k**2 - 7/240*k**5 + 6*k**3 + 1/1440*k**6 + 49/96*k**4. Let p(y) be the third derivative of z(y). Factor p(v).
(v - 7)**2/4
Suppose -95*i + 13 + 43 + 32 + 292 = 0. Solve 0 - 9/5*l**i + 0*l + 3*l**3 - 27/5*l**5 - 3/5*l**2 = 0 for l.
-1, 0, 1/3
Suppose -2*s + 2 + 1 = -3*v, -2*s + 24 = 4*v. Suppose s*d - 5 = 7. Solve -2*b**4 - b - b - 15*b**d - 12*b**3 - 4*b - b**4 = 0.
-2, -1, 0
Let c(t) = -t + 3. Let i be c(5). Let n be (-2 + i)/((-11)/44). Factor -472 - 3*v**2 + v**2 - n*v + 440.
-2*(v + 4)**2
Factor 20/9 - n**2 + 4/3*n - 1/9*n**3.
-(n - 2)*(n + 1)*(n + 10)/9
Find x, given that -97/3*x**3 - 20/3*x**4 - 172/3*x - 1/3*x**5 - 194/3*x**2 - 56/3 = 0.
-14, -2, -1
Let h(z) be the second derivative of 1/4*z**4 + 1 + 0*z**2 - 27*z - z**3. Suppose h(x) = 0. Calculate x.
0, 2
Let x(w) be the second derivative of 0 + 1/210*w**7 - 44*w + 0*w**2 + 2/15*w**3 - 1/20*w**5 - 1/50*w**6 + 1/20*w**4. Suppose x(v) = 0. What is v?
-1, 0, 1, 4
Let r(b) be the third derivative of 0 - 11*b - 1/240*b**5 + 13/12*b**3 - 3*b**2 - 11/96*b**4. Factor r(h).
-(h - 2)*(h + 13)/4
Let b(g) = 8*g - 77. Let d be b(10). Factor 578*n**2 - 286*n**2 + d*n**3 - 3*n - 289*n**2 - 3*n**4.
-3*n*(n - 1)**2*(n + 1)
Let p be ((-46)/2 + 1 + (-173040)/(-10815))*(-242)/102. Factor -p*z**2 + 0*z - 2/17*z**4 + 0 - 44/17*z**3.
-2*z**2*(z + 11)**2/17
Let p be (-2)/(-5) + (-611)/(-235). Factor -5*c**3 + 2982*c**2 + 4*c**p - 2978*c**2 - 6 - c + 0*c**3.
-(c - 3)*(c - 2)*(c + 1)
Factor -477*c - 20*c**2 + 8*c**2 - 488 - 970 + 15*c**2.
3*(c - 162)*(c + 3)
Factor 4/7*z**2 - 3/7 + 2/7*z**3 - 1/7*z**4 - 2/7*z.
-(z - 3)*(z - 1)*(z + 1)**2/7
Let z be 54/(-1863)*3 + (-142)/(-46). Let x(p) be the third derivative of 0 - 21*p**2 - 1/570*p**5 + 0*p + 0*p**z - 1/228*p**4. Factor x(f).
-2*f*(f + 1)/19
Let i(f) = 4*f**2 + 1640*f + 9699. Let j be i(-6). Solve 5/4*u**2 + 1/4*u**j - 2*u - 3 = 0.
-6, -1, 2
Suppose -85/9 + 1/9*y**2 + 28/3*y = 0. Calculate y.
-85, 1
Let s(o) be the first derivative of -o**6/1260 + o**4/21 + 46*o**3 - 142. Let p(i) be the third derivative of s(i). Factor p(k).
-2*(k - 2)*(k + 2)/7
Suppose 0 = 3*u - u - 18. Let l be 18/(-24)*(-60)/u. Factor 4*d - d + l*d**2 + 7*d + 6 - 1.
5*(d + 1)**2
Let q(d) = d**2 + 3*d + 9. Let j be q(-3). Suppose -2*i + 2 = 0, j*n - 4*n + 4*i - 849 = 0. Let -435 - 32*l + n + 138 - 2*l**2 = 0. Calculate l.
-8
Let z(u) be the second derivative of -u**10/75600 + u**9/4200 - u**8/2100 - 10*u**4 + 90*u. Let j(x) be the third derivative of z(x). Factor j(q).
-2*q**3*(q - 8)*(q - 1)/5
Factor 1/5*r**2 - 941/5*r - 942/5.
(r - 942)*(r + 1)/5
Solve -517/10*b**2 - 9/10*b**4 - 206/5*b - 91/5*b**3 - 34/5 = 0 for b.
-17, -2, -1, -2/9
Factor 7*d - 1/4*d**4 - 3 + 2*d**3 - 23/4*d**2.
-(d - 3)*(d - 2)**2*(d - 1)/4
Let g = 42766/7 - 384880/63. Factor 0 + 2/9*c**4 - g*c**3 + 0*c - 2/9*c**2 + 2/9*c**5.
2*c**2*(c - 1)*(c + 1)**2/9
Let i(m) = 22*m**2 + 158*m + 1242. Let f(q) = -5*q**2 - 39*q - 310. Let w(k) = -9*f(k) - 2*i(k). Let h be w(-16). Factor -2/9*v**3 + 50/9 - 10/3*v - 2*v**h.
-2*(v - 1)*(v + 5)**2/9
Let r(b) be the second derivative of -b**7/1155 + b**5/165 - b**3/33 + 54*b**2 - 101*b. Let s(d) be the first derivative of r(d). Let s(o) = 0. What is o?
-1, 1
Factor -1/5*x**2 - 13/5*x + 168/5.
-(x - 8)*(x + 21)/5
Factor -6244048 - 646759*d + 2163*d**2 + 124*d**3 - 612*d**2 - 125*d**3 + 144432461 - 155108*d.
-(d - 517)**3
Let o be (((-5989)/(-106))/113)/(1*4*4/8). Let 1/2*w**2 - o*w**3 - 1/4*w + 0 = 0. What is w?
0, 1
Let a(g) be the third derivative of g**6/15 + 1243*g**5/5 - 4973*g**4/16 + 1865*g**3/12 + 3723*g**2. Solve a(o) = 0.
-1865, 1/4
Factor 10*h**2 + 100*h - 473068*h**3 + 473063*h**3 + 120 + 0*h**2.
-5*(h - 6)*(h + 2)**2
Let d be 205618/(-3990) - (-1 + 5)*-1. Let f = d - -151/3. Factor -f*g - 2/5*g**3 - 6/5 - 2*g**2.
-2*(g + 1)**2*(g + 3)/5
Let i(j) = -10*j + 163. Let m be i(16). Factor 9*x - x**2 - 20*x + 7*x**2 + m*x**3 - 6 + 8*x.
3*(x - 1)*(x + 1)*(x + 2)
Suppose 1040*l - 2810 = -730. Factor 0 - 1/3*w**4 + 24*w + 14/3*w**3 - 20*w**l.
-w*(w - 6)**2*(w - 2)/3
Let x be ((-210)/63)/((-2)/3). Let h be ((-20)/(-8))/x - 1169/(-70). Let h*t**3 - 14/5*t**2 + 8/5 + 78/5*t**4 - 32/5*t + 18/5*t**5 = 0. Calculate t.
-2, -1, 1/3
Let o = 6578 + -6572. Let f(d) be the second derivative of 0*d**2 + 1/14*d**7 + 1/2*d**4 + 0 + 2/5*d**o + 3*d + 3/4*d**5 + 0*d**3. Let f(s) = 0. Calculate s.
-2, -1, 0
Suppose 5*i - 4 = -5*a + 26, -23 = -4*i - 3*a. Solve 3*n**i + 109*n + n**5 - n**3 - 3*n**4 - 109*n = 0 for n.
-1/4, 0, 1
Let o = -5356 - -5359. Let v(c) be the third derivative of o*c**2 + 0 - 2/45*c**5 + 1/180*c**6 + 0*c - 2/9*c**3 + 5/36*c**4. What is q in v(q) = 0?
1, 2
Let h(y) be the third derivative of -y**7/210 - 11*y**6/120 - 1932*y**2. Let h(s) = 0. Calculate s.
-11, 0
Let h(a) be the third derivative of 1/560*a**8 - a**2 - 3/350*a**7 - 1/100*a**6 - 1/5*a**4 + 0 + 0*a**3 + 3/25*a**5 + 0*a. Let h(b) = 0. What is b?
-2, 0, 1, 2
Let u(v) = v**3 + 25*v**2 - 17*v + 18. Let z be u(-27). Let y = -3923/4 - z. Factor y*w**2 + 3/8*w - 1/8*w**3 + 0.
-w*(w - 3)*(w + 1)/8
Let f(b) = -b**2 + 4*b + 39. Let s be f(0). Solve -36*z**2 - 2*z + s + 1 - 4*z**2 + 2*z**3 = 0.
-1, 1, 20
Factor -3/2*x**3 + 15*x**2 - 21/2*x - 27.
-3*(x - 9)*(x - 2)*(x + 1)/2
Let t = -155 - -110. Let a = -41 - t. Find y such that 13*y - 16*y**3 - 18*y**2 + 8*y**3 - 9*y**5 + 12*y**a + 8*y**4 - 2 + 4*y**3 = 0.
-1, 2/9, 1
Let f be 11/(-3) - -3 - 14/(-3). Suppose 0 = f*r + 4*n - 2 - 18, 0 = 3*r - 5*n + 1. Suppose -931*d**2 + 21*d**r - 27*d**4 + 937*d**2 + 0*d**3 = 0. Calculate d.
-2/9, 0, 1
Factor -33/8*i**2 + 1/8*i**3 + 111/8*i + 145/8.
(i - 29)*(i - 5)*(i + 1)/8
Let k(b) = -b**3 + 89*b**2 - 586*b + 17472. Let a be k(84). Factor -a*m - 63*m**2 - 65856 - 3/8*m**3.
-3*(m + 56)**3/8
Let n(p) be the first derivative of -3*p**4/16 - 65*p**3/6 - 1491*p**2/8 - 441*p - 2053. Factor n(h).
-(h + 21)**2*(3*h + 4)/4
Let h(r) be the third derivative of -67/66*r**6 - 1633/132*r**4 - 7/165*r**7 + 0*r - 1/1848*r**8 - r**2 - 863/165*r**5 + 47 - 529/33*r**3. Factor h(k).
-2*(k + 1)**3*(k + 23)**2/11
Let i(k) = -4*k**3 + 305*k**2 + 4*k - 305. Let f(o) = o**3 + 3*o**2 - o - 3. Let w(h) = 5*f(h) + i(h). What is x in w(x) = 0?
-320, -1, 1
Factor -68/13*b - 2/13*b**2 + 222/13.
-2*(b - 3)*(b + 37)/13
Let k(s) = -61*s**3 - 99*s**2 + 105*s. Let g(d) = 11*d**3 + 20*d**2 - 21*d. Let a(n) = 55*g(n) + 10*k(n). Determine v so that a(v) = 0.
0, 1, 21
Let b be (-42)/56*4/(-3)*18. Determine c so that 9*c**2 + 25*c**2 - b*c + 2 - 14*c**2 - 4 = 0.
-1/10, 1
Let h(x) = -18*x**2 - 23*x - 9. Let w(z) be the first derivative of 6*z**3 + 13*z**2 + 8*z - 129. Let d(m) = -4*h(m) - 5*w(m). Factor d(o).
-2*(o + 2)*(9*o + 1)
Let m(s) be the second derivative of -s**4/27 - 824*s**3/27 - 84872*s**2/9 - s + 374. Determine z so that m(z) = 0.
-206
Let q = 2374 - 9493/4. Let s(a) be the first derivative of q*a**4 + 14 + 0*a - 2*a**3 + 0*a**2. What is b in s(b) = 0?
0, 2
Let z(y) = 2*y**2 + 20*y - 93. Let c be z(4). Factor -3*x**2 - 12*x**2 + 90*x**3 - c*x**4 - 20*x - 24*x**4 - 12*x**4.
-5*x*(x - 1)**2*(11*x + 4)
Let d be (-4 + 5)/4 + 155/20. Let t be d - (-4 + 0)*(-40)/32. Factor -4/7 - 6/7*b + 2/7*b**2 + 6/7*b**t + 2/7*b**4.
2*(b - 1)*(b + 1)**2*(b + 2)/7
Let q be 4/(-6) - (-1360)/510. Let j(k) be the third derivative of 3/280*k**7 + 3*k**5 + 2*k**q + 23/80*k**6 + 0*k + 125/8*k**3 + 0 + 225/16*k**4. Factor j(a).
3*(a + 5)**3*(3*a + 1)/4
Suppose -v - 3*b + 121 = -3*v, -3*v = -3*b + 189. Let c be -2 + (-4)/8 + (-186)/v. Factor 0 + c*q**2 + 0*q - 18/17*q**4 - 14/17*q**3.
-2*q**2*(q + 1)*(