*f = 0?
-42, -1, -1/9, 0
Let m(s) be the first derivative of -s**4/42 + 4*s**3/21 - 27*s - 34. Let b(g) be the first derivative of m(g). Find k, given that b(k) = 0.
0, 4
Determine l, given that 1/3*l**2 + 13/3*l - 480 = 0.
-45, 32
Let u be ((-170)/408)/(10/(-4)). Let x(w) be the first derivative of 24 + 8/9*w**3 - 4/3*w**2 + 0*w - u*w**4. Factor x(g).
-2*g*(g - 2)**2/3
Let a be 9/((-1458)/4)*(-360)/60. Let y(k) be the third derivative of 0 - 2/945*k**7 + 39*k**2 - a*k**3 + 1/54*k**6 + 7/54*k**4 - 1/15*k**5 + 0*k. Factor y(x).
-4*(x - 2)*(x - 1)**3/9
Let t(k) be the second derivative of -k**5 + 196*k**4/3 + 730*k**3/3 + 328*k**2 - 1196*k. Suppose t(o) = 0. Calculate o.
-1, -4/5, 41
Let g(x) be the third derivative of x**8/168 + x**7/15 - 3*x**6/20 - 7*x**5/30 + 2*x**4/3 + 31*x**2. Solve g(h) = 0.
-8, -1, 0, 1
Let j(t) be the first derivative of -t**6/20 + 3*t**5/40 + t**4/2 - t**3 - 59*t + 90. Let n(z) be the first derivative of j(z). Suppose n(c) = 0. What is c?
-2, 0, 1, 2
Let 412*a - 16*a**4 + 288*a**3 - 120 + 4*a**5 + 0*a**4 - 22*a**4 - 319*a**2 - 201*a**2 - 26*a**4 = 0. What is a?
1, 3, 10
Let w(i) be the third derivative of i**5/120 + 97*i**4/12 + 9409*i**3/3 + 1171*i**2. Factor w(v).
(v + 194)**2/2
Let n(u) be the third derivative of -1/18*u**4 + 0*u + 4/3*u**3 - 1/90*u**6 - 54*u**2 - 4/45*u**5 + 0. Suppose n(s) = 0. Calculate s.
-3, -2, 1
Find i, given that 51/7*i + 3/7*i**2 - 600/7 = 0.
-25, 8
Let i(k) be the first derivative of -26*k**3/3 - 5*k**2/2 + 1427. Factor i(a).
-a*(26*a + 5)
Let v(t) be the third derivative of -t**7/315 - 17*t**6/15 + 1037*t**5/90 - 139*t**4/3 + 836*t**3/9 - 32*t**2 - 8*t + 4. Find p such that v(p) = 0.
-209, 1, 2
Let i be (-31914)/788*24/(-162). Solve -3/7*b**2 + 15/7*b + i = 0.
-2, 7
Let i(a) be the second derivative of a**2 - 8*a**3 + 22*a + 23/6*a**4 + 0. Factor i(h).
2*(h - 1)*(23*h - 1)
Let j(d) be the third derivative of d**7/840 - d**6/40 - 2*d**5/5 + 49*d**4/24 + 19*d**2 + d. Let h(w) be the second derivative of j(w). What is t in h(t) = 0?
-2, 8
Suppose -3*t + w = 358 + 3070, 2*w = 4. Let g = t + 8010/7. Solve -g - 972/7*u**2 - 1458/7*u**3 - 216/7*u = 0.
-2/9
Let l be -2 + -19 - 1 - (-13392)/558. Let 4/5*p**l - 14/5*p + 2/5*p**3 + 8/5 = 0. What is p?
-4, 1
Let t be 2/7*(-25 - (-9509)/370). Factor 0 - 1/5*l**4 + 2/5*l + t*l**2 - 2/5*l**3.
-l*(l - 1)*(l + 1)*(l + 2)/5
Let k be 22/(-4)*155/(-682). Suppose 10 - k*x**3 - 85/4*x + 25/2*x**2 = 0. What is x?
1, 8
Let g = -185810 - -185813. Factor o**g - 11/3*o - 5 + 7/3*o**2.
(o + 1)*(o + 3)*(3*o - 5)/3
Let d(p) be the second derivative of -p**4/12 + 65*p**3 - 1161*p**2/2 + 318*p + 2. Suppose d(i) = 0. Calculate i.
3, 387
Solve -22/7*d**3 - 46/7*d**2 + 0 + 6/7*d**5 + 16/7*d + 46/7*d**4 = 0 for d.
-8, -1, 0, 1/3, 1
Let j be (-1)/((-6)/180*-12*(-5)/10). Let x(o) be the first derivative of -5/4*o**4 + 0*o + 0*o**2 - 1/6*o**6 + 4/5*o**j - 21 + 2/3*o**3. Solve x(a) = 0.
0, 1, 2
Let y(f) = 2*f**4 + 36*f**3 - 203*f**2 - 3*f - 3. Let r(b) = -b**4 - b**3 + b**2 + b + 1. Let p(q) = 15*r(q) + 5*y(q). Factor p(c).
-5*c**2*(c - 25)*(c - 8)
Let c(s) be the second derivative of -s**5/140 - 13*s**4/42 + 8*s**3/21 + 208*s**2/7 + 10303*s. Factor c(t).
-(t - 4)*(t + 4)*(t + 26)/7
Let p = -1229 + 1241. Let u(o) be the first derivative of -7/57*o**6 + p - 11/38*o**4 + 0*o + 4/57*o**3 + 0*o**2 + 32/95*o**5. Let u(x) = 0. Calculate x.
0, 2/7, 1
Let t = -9542 + 9547. Let o(p) be the third derivative of -1/30*p**t + 22*p**2 + 0*p + 0*p**3 + 0*p**4 + 0. Factor o(j).
-2*j**2
Solve 0 - 32*q - 18/7*q**5 - 96/7*q**4 + 226/7*q**3 + 80/7*q**2 = 0.
-7, -1, 0, 4/3
Solve 48/13*g**3 + 2/13*g**4 + 288/13 + 448/13*g + 240/13*g**2 = 0.
-18, -2
Suppose -5*t + 67837 = -12*t. Let r = 68041/7 + t. Find u such that r*u**3 + 216/7*u**2 + 18/7*u**5 + 114/7*u + 96/7*u**4 + 24/7 = 0.
-4/3, -1
Let m(b) be the first derivative of 5*b**6/6 - 54*b**5 + 255*b**4 - 1000*b**3/3 + 644. Factor m(c).
5*c**2*(c - 50)*(c - 2)**2
Let t = -5 + -52. Let u be (12/(-9))/2*t. Solve u*d - 12 - 16*d - 3*d**3 - 19*d - d**2 + 13*d**2 = 0.
-1, 1, 4
Let r(x) = 71*x + 855. Let f be r(-12). Let h(i) be the first derivative of 3*i**f + 3/4*i**4 - 12*i + 0*i**2 - 2. Suppose h(w) = 0. Calculate w.
-2, 1
Let p(y) = -124*y + 1120. Let i be p(9). Let m(u) be the second derivative of -9/140*u**5 + 1/70*u**6 + 1/28*u**i + 3/14*u**3 - 3/7*u**2 - 6*u + 0. Factor m(c).
3*(c - 2)*(c - 1)**2*(c + 1)/7
Suppose -2*c = 2*a - 1 + 7, -5*a + 25 = -3*c. Factor 21*m**2 + 160 + 160*m - 7730*m**3 + 29*m**a + 7735*m**3.
5*(m + 2)*(m + 4)**2
Let l(p) be the second derivative of 80*p + 2/35*p**5 - 2/105*p**6 + 2/7*p**2 + 0*p**4 - 4/21*p**3 + 0. Factor l(h).
-4*(h - 1)**3*(h + 1)/7
Suppose 217*w = -119*w. Let v(z) be the third derivative of -1/4*z**4 + 0 - 1/20*z**5 + w*z**3 + 0*z + 18*z**2. Find o such that v(o) = 0.
-2, 0
Suppose -73*w + 4 = -71*w. Let -21*y**3 + 3*y - 6 + 3*y**2 - 6*y**4 + 3*y**4 + 6*y**w + 18*y**3 = 0. Calculate y.
-2, -1, 1
Factor -2*d**2 + 0 + 21/2*d - 1/2*d**3.
-d*(d - 3)*(d + 7)/2
Let z(c) be the second derivative of 5*c**4/12 + 2270*c**3/3 + 515290*c**2 + 1259*c. Determine l so that z(l) = 0.
-454
Suppose 2*y - 2*u + 1910 = 0, u - 306 + 1251 = -y. Let g = 19954/21 + y. Find t, given that g*t**3 + 2/7 - 16/21*t + 2/7*t**2 = 0.
-3, 1/2, 1
Let n = 106 + -153. Let r = -43 - n. Factor 6*v**2 - r*v**5 + 9*v**3 - 10*v**5 + 11*v**5.
-3*v**2*(v - 2)*(v + 1)**2
Let b be -3 - 0 - 767/(-177). Let c be 4/(-3) - (-3)/2. Factor -c*r**4 + 7/6*r**3 + 10/3*r - b - 3*r**2.
-(r - 2)**3*(r - 1)/6
Let c be 12/(-54) - 78/135 - (-4004)/3080. Let k = -1/20 - -11/20. Factor -1/3 + 4/3*h**2 + k*h + c*h**3.
(h + 1)*(h + 2)*(3*h - 1)/6
Determine l, given that -1144/9*l + 0 - 5728/9*l**2 - 7190/9*l**3 - 50/9*l**4 = 0.
-143, -2/5, 0
Let s(m) be the second derivative of -m**4/6 + 6*m**3 - 56*m**2 + 503*m + 2. Factor s(k).
-2*(k - 14)*(k - 4)
Let f(h) = 7*h + 4. Let o be f(2). Let c be 5 + o/(-3) - -3. Suppose 13*v + c*v**2 - v**3 - 3*v - 2 - 3*v + 6 = 0. Calculate v.
-1, 4
Let o = 629/59 + -3027/295. Find m such that o*m**2 + 512/5 - 64/5*m = 0.
16
Suppose b = -7, -1485*p + 5*b = -1482*p - 41. Factor 2/7*j**4 - 2/7*j**p + 0*j**3 + 0 + 0*j.
2*j**2*(j - 1)*(j + 1)/7
Let y(x) = 43*x**2 - 815*x - 34. Let t be y(19). Let n(u) be the second derivative of 0*u**5 + 41*u + 0 + 1/6*u**t + 0*u**3 - 1/30*u**6 - 1/2*u**2. Factor n(z).
-(z - 1)**2*(z + 1)**2
Suppose 135*b = 132*b + 27. Suppose -21*s + 6*s**3 - b*s + 22*s**2 + 24*s**2 - s**3 - 21*s**2 = 0. Calculate s.
-6, 0, 1
Let w = 107 + 3. Suppose 111*n = w*n + 13. Solve -n*m**4 - 10*m**4 + 20*m**4 - 9*m**2 - 3*m - 9*m**3 = 0.
-1, 0
Let s be (1 - -28)*(-3 - (-10 - -2)). Factor -270 + 1555*x**2 - 3119*x**2 + 1559*x**2 - s*x.
-5*(x + 2)*(x + 27)
Let m(t) be the second derivative of -1/4*t**2 + 2 + 8*t + 13/96*t**4 + 1/2*t**3. Factor m(g).
(g + 2)*(13*g - 2)/8
Let k(t) be the first derivative of 0*t + 3/2*t**2 + 0*t**3 + 0*t**4 + 1/40*t**6 + 0*t**5 + 11. Let g(q) be the second derivative of k(q). Factor g(w).
3*w**3
Factor -2451*m**3 - 54 + 21*m - 132*m + 1230*m**3 + 1218*m**3 - 60*m**2.
-3*(m + 1)**2*(m + 18)
Find o, given that -3456 + 432*o - 18*o**2 + 1/4*o**3 = 0.
24
Suppose d - u - 2 = 0, 7*d + 10 = 12*d - 4*u. Let i be 878/4 + 1/2. Factor -i*m - 81920*m**4 - 2560*m**d - 18 - 131072*m**5 - 20480*m**3 + 14 + 60*m.
-4*(8*m + 1)**5
Factor -849/5*m**2 + 584*m**3 + 63/5*m + 0 - 80*m**4.
-m*(m - 7)*(20*m - 3)**2/5
Let k(t) = 8*t**2 - 6*t - 2. Let u(l) = 23*l**2 - 17*l - 7. Let n = -17 - -26. Let b = n - -8. Let c(g) = b*k(g) - 6*u(g). Factor c(o).
-2*(o - 2)*(o + 2)
Let d be (-408)/51*(-2)/8. Suppose 6 = -p - d*t, -2*t - 2*t - 6 = 5*p. Solve -3/4 + 6*u**p - 15/8*u - 27/8*u**3 = 0.
-2/9, 1
Let i(x) be the first derivative of -129 - 4/3*x**3 + 0*x + 32*x**2. What is q in i(q) = 0?
0, 16
Let l(d) be the third derivative of -d**7/126 + d**6/90 + d**5/45 - 5*d**3/6 + 97*d**2. Let p(z) be the first derivative of l(z). Factor p(g).
-4*g*(g - 1)*(5*g + 2)/3
Let q(r) be the second derivative of -r**3 - 18 - 2*r - 3/2*r**2 + 3/4*r**4. Find v, given that q(v) = 0.
-1/3, 1
Let t be (-682)/217*525/(-154). Suppose t*q - 36/7 - 6*q**2 + 3/7*q**3 = 0. What is q?
1, 12
Let u = 27021/2 + -13510. Factor -1/3*d**3 + 1/6*d**4 - u*d**2 + 2/3