- 18 - 1/8*y**3. Suppose l(t) = 0. What is t?
-3, -2, 0, 1
Let b(f) be the second derivative of f**5/80 + 5*f**4/16 - 7*f**3 + 46*f**2 + 7235*f. Find s, given that b(s) = 0.
-23, 4
Let p be 16/(1008/27) - 63152/28. Let v = 11278/5 + p. Factor 0 + 0*x - v*x**2.
-3*x**2/5
Let q(o) be the second derivative of -o**6/660 - o**5/330 + o**4/33 + 4*o**3/33 - 315*o**2/2 - 129*o. Let i(f) be the first derivative of q(f). Factor i(p).
-2*(p - 2)*(p + 1)*(p + 2)/11
Let b = -376/785 + 8714/14915. Factor 0 - 14/19*w**2 - b*w**3 - 20/19*w.
-2*w*(w + 2)*(w + 5)/19
Let w(v) be the second derivative of v**7/21 + v**6/15 - 11*v**5/10 - 3*v**4/2 + 6*v**3 + 1405*v. Let w(k) = 0. Calculate k.
-3, -2, 0, 1, 3
Factor 187*k**2 - 260*k**3 - 13*k**4 - 6*k**4 - 11*k**4 + 32*k**4 + 71*k**2.
2*k**2*(k - 129)*(k - 1)
Factor 0*v + 8 - 4*v**2 + 0*v**3 + 1/2*v**4.
(v - 2)**2*(v + 2)**2/2
Suppose -176*m - 28 = -183*m. Factor 8*t**2 + 1632*t**3 - 1644*t**3 + m*t**4 + 0 + 0.
4*t**2*(t - 2)*(t - 1)
Let n be 69/2 - 1/(-2). Let x(h) = -2*h - 16. Let y be x(-9). Factor 38*k**y + 0*k**4 - 3*k**4 - n*k**2.
-3*k**2*(k - 1)*(k + 1)
Factor -15/4 - 1/4*p**2 + 4*p.
-(p - 15)*(p - 1)/4
Let y(i) be the second derivative of i**6/135 + 3*i**5/10 + 55*i**4/27 - 112*i**3/9 + 11*i - 1. Solve y(n) = 0 for n.
-21, -8, 0, 2
Factor -441/4*a**2 + 841/4*a**4 + 0 - 319/4*a**3 - 81/4*a.
a*(a - 1)*(29*a + 9)**2/4
Let l(d) be the second derivative of -d**6/2 - 859*d**5/2 + 3825*d**4/4 - 1435*d**3/3 + 4*d + 606. Suppose l(o) = 0. What is o?
-574, 0, 1/3, 1
Let n = 35936/613 + 80/1839. Determine z so that -54*z**3 - 102*z**2 - 32/3 - n*z = 0.
-1, -4/9
Suppose 17 = g, -439*g = 4*s - 878*g + 444*g - 97. What is l in -1/2*l - 3*l**4 - s + 6*l**2 - 1/2*l**5 + l**3 = 0?
-6, -1, 1
Factor 4*q**3 + 0 + 3*q + 1/9*q**5 + 10/9*q**4 + 6*q**2.
q*(q + 1)*(q + 3)**3/9
Let f(x) = 49*x - 338. Let u be f(7). Determine v, given that 44*v**2 + u - 29*v**2 + 66*v**2 + 74*v**2 - 160*v = 0.
1/31, 1
Let i(w) be the first derivative of w**6/12 - 7*w**5/5 + 53*w**4/8 - 38*w**3/3 + 9*w**2 - 235. Find u, given that i(u) = 0.
0, 1, 2, 9
Let o(l) be the second derivative of -32/3*l**2 + 59/60*l**5 - 59*l - 2/45*l**6 + 0 - 152/9*l**3 - 59/12*l**4. Determine n so that o(n) = 0.
-1, -1/4, 8
Let b(h) be the second derivative of h**5/4 - 1225*h**4/12 + 610*h**3/3 + 1354*h. Solve b(k) = 0 for k.
0, 1, 244
Suppose -15 = -p - x, -6*p - 3*x - 21 = -9*p. Let c be (-2)/1*(-6)/4. Factor -3*i**2 + 8*i**3 - p*i**c - 2*i**2 - i**5 - 3*i**4 + 4*i**2.
-i**2*(i + 1)**3
Let t(n) be the first derivative of 5*n**6/6 - 7*n**5 + 55*n**4/4 - 25*n**3/3 - 1054. What is k in t(k) = 0?
0, 1, 5
Let a(x) be the first derivative of -x**5/20 + x**4/4 + x**3 - 4*x**2 - 40*x + 72. Let v(f) be the first derivative of a(f). Factor v(t).
-(t - 4)*(t - 1)*(t + 2)
Let c(k) be the third derivative of k**7/1260 - k**6/90 + 9*k**4/4 + 76*k**2. Let b(i) be the second derivative of c(i). Factor b(h).
2*h*(h - 4)
Let k(v) be the first derivative of -8/3*v**3 + 0*v - 4/3*v**2 - 13/6*v**4 + 49 - 1/9*v**6 - 4/5*v**5. Determine d so that k(d) = 0.
-2, -1, 0
Let d = -269309078/785 - -343069. Let w = d + 14/157. Factor -1/10*f**2 + w*f - 1/10.
-(f - 1)**2/10
Let i(f) be the first derivative of -2*f**3/3 - 63*f**2 - 684*f - 3371. Factor i(n).
-2*(n + 6)*(n + 57)
Let p(s) be the second derivative of 2*s**6/15 - 5*s**5 + 169*s**4/3 - 122*s**3 - 756*s**2 - 12250*s. Suppose p(r) = 0. Calculate r.
-1, 3, 9, 14
Let c(b) be the third derivative of b**6/1980 - 23*b**5/660 - 20*b**3/3 + 111*b**2. Let a(p) be the first derivative of c(p). Factor a(i).
2*i*(i - 23)/11
Let q(j) be the third derivative of 19*j**6/1020 + 172*j**5/255 + 359*j**4/204 + 2*j**3/3 + 2*j**2 - 7*j + 27. Find p such that q(p) = 0.
-17, -1, -2/19
Let a(s) = -s**3 - 2*s**2 - s + 6. Let o(v) = -8*v**3 - 136*v**2 - 128*v + 24. Let c(g) = 4*a(g) - o(g). Factor c(b).
4*b*(b + 1)*(b + 31)
Let g(f) = f**3 + 3*f**2 - 3*f + 3. Let h be g(2). Suppose -1 - h = -9*x. Factor 2 + 23*k + 8 - 6*k**2 + 19*k**2 - 3*k**3 - 3*k**x.
-(k - 5)*(k + 1)*(3*k + 2)
Let t be (2/14*2)/(385/539). Factor 0 + t*k**4 + 26/5*k**3 - 28/5*k**2 + 0*k.
2*k**2*(k - 1)*(k + 14)/5
Suppose 420*i**2 + 387*i - 207*i**2 - 819 - 123*i - 210*i**2 = 0. What is i?
-91, 3
Let h be ((-12)/(-14))/((-8)/(-336)). Let n = 217/6 - h. Factor -n*j + 1/6*j**3 - 1/6 + 1/6*j**2.
(j - 1)*(j + 1)**2/6
Let j be (((-2)/6)/((-3)/1161))/1. Factor 3*n**2 - 2*n - 135 - n + j.
3*(n - 2)*(n + 1)
Let k(v) be the first derivative of -4/5*v**2 - 1/15*v**3 + 0*v + 152. Factor k(o).
-o*(o + 8)/5
Determine f, given that -2*f - 1/2*f**4 + 40 + 23/2*f**3 - 30*f**2 = 0.
-1, 2, 20
Let h = 2279/700 - -524/175. Determine i so that -11/4*i**4 - h*i**2 + 0*i + 1/4*i**5 + 35/4*i**3 + 0 = 0.
0, 1, 5
Factor 375/2 - 281/2*z**2 + 2*z**3 - 715*z.
(z - 75)*(z + 5)*(4*z - 1)/2
Let u(k) be the first derivative of 1/3*k**4 + 4/45*k**5 - 8/9*k + 252 - 2/3*k**2 + 4/27*k**3. Find x, given that u(x) = 0.
-2, -1, 1
Suppose 170*h - 172*h = 3*v - 43, -263 = 3*v - 16*h. Find n, given that -20/19 + 2/19*n**v - 2/19*n + 20/19*n**2 = 0.
-10, -1, 1
Let l(d) be the first derivative of 0*d**2 + 0*d - d**4 - 67 + 32/3*d**3. Solve l(z) = 0 for z.
0, 8
Let i(j) = 9*j**3 - 36 - 37*j**3 - 5*j**2 - 10503*j + 10522*j. Let m(x) = 13*x**3 + 2*x**2 - 9*x + 18. Let q(w) = 6*i(w) + 13*m(w). Find p, given that q(p) = 0.
-2, 3
Let t(g) be the third derivative of g**8/672 - g**7/210 - g**6/120 + g**5/30 + g**4/48 - g**3/6 - 81*g**2. Let t(o) = 0. What is o?
-1, 1, 2
Let f(a) be the third derivative of -1/72*a**4 + 1/1260*a**7 + 1/72*a**5 + 0*a + a**2 + 0*a**3 - 1/180*a**6 - 28. Suppose f(w) = 0. What is w?
0, 1, 2
Determine d so that 144/5*d - 147/5 + 3/5*d**2 = 0.
-49, 1
Find h such that 2*h**3 - 444/7*h**2 + 1762/7*h + 540/7 = 0.
-2/7, 5, 27
Suppose -3*x = -4*z - 785, -3*z = -4*x + 733 + 302. Suppose x*f**2 - 129*f**2 + 192*f - 121*f**2 + 8405 + 218*f = 0. Calculate f.
-41
Suppose -2593659 + 4*g**2 - 2*g**2 - 1298371 - 6*g**2 - 6384*g + 1344814 = 0. What is g?
-798
Let f = -2194 - -2211. Let t(c) be the first derivative of 1/3*c**3 + f + c**2 + c. Let t(n) = 0. What is n?
-1
Let u(r) = 25*r + 1. Let a be u(-1). Let t be (-204)/a + 44/(-8). Suppose -1/9*w**4 - 1/3*w**t + 2/9 + 1/3*w - 1/9*w**2 = 0. What is w?
-2, -1, 1
Let t(r) be the second derivative of 9*r**5/20 + 4*r**4/3 + 5*r**3/6 - r**2 - 2*r + 1029. Factor t(s).
(s + 1)**2*(9*s - 2)
Let v(c) = -74*c**3 - 6022*c**2 - 23732*c - 23240. Let h(o) = 8*o**3 + 669*o**2 + 2637*o + 2584. Let q(f) = 28*h(f) + 3*v(f). Solve q(x) = 0.
-329, -2
Let l(k) be the second derivative of 25*k**7/168 + 53*k**6/24 + 433*k**5/40 + 373*k**4/24 - 137*k**3/8 + 45*k**2/8 - 168*k. Suppose l(h) = 0. What is h?
-5, -3, 1/5
Let a = -351/5 + 71. Let x be 1211/(-865)*(-32)/28. Suppose 8/5*y**3 + 4/5*y**4 + 0*y**2 - x*y - a = 0. Calculate y.
-1, 1
Suppose -4*j - 1179 = 3*c, -3*c = -j + 1085 + 109. Let q = c - -399. Determine d, given that 0 - 176/7*d**q - 248/7*d**3 - 12*d**4 - 32/7*d = 0.
-2, -2/3, -2/7, 0
Suppose 8*r**2 - 4276*r + 173 - 556 - 1757 = 0. Calculate r.
-1/2, 535
Let m(y) = -7*y**4 - 3*y**3 - 5*y + 10. Let o(i) = 14 - 8 + 1 - 2*i**3 - 4*i**4 + 1 - 3*i - 2. Let h(s) = 3*m(s) - 5*o(s). Determine d, given that h(d) = 0.
0, 1
Factor -57*w - 5684 + 1976*w - 88*w**2 - 2*w**3 - 393*w.
-2*(w - 7)**2*(w + 58)
Let u(c) be the first derivative of c**6/120 + 3*c**5/40 + 262*c + 234. Let j(s) be the first derivative of u(s). Suppose j(l) = 0. What is l?
-6, 0
Let u = -292133 + 584287/2. Factor 3*l**3 - 6 + 3/4*l**4 - 9/4*l**2 - u*l.
3*(l - 2)*(l + 1)**2*(l + 4)/4
Factor 126150 + 435*g + 3/8*g**2.
3*(g + 580)**2/8
Let s(o) be the first derivative of -3*o**5 - 5*o**4/4 + 105*o**3 + 405*o**2/2 + 100*o + 2002. Let s(k) = 0. Calculate k.
-4, -1, -1/3, 5
Let f(d) be the first derivative of 4*d**5/5 - 33*d**4 - 140*d**3 - 214*d**2 - 144*d + 3479. Factor f(s).
4*(s - 36)*(s + 1)**3
Let d be 4 + -9 + 15 + (2 - 3). Factor -23*g**2 + 355*g - 6*g**2 + 102 + d*g**2 - 12.
-5*(g - 18)*(4*g + 1)
Let r(j) be the second derivative of -j**6/285 + 4*j**5/95 - 11*j**4/114 - 8*j**3/57 + 12*j**2/19 + 3*j + 81. Find b such that r(b) = 0.
-1, 1, 2, 6
Suppose 6*w = -32*w - 5*w. Let h(u) be the first derivative of 21 + 5*u**3 - 9/4*u**2 - 9/2*u**