 0. Calculate q.
-2/3, 0, 1, 3
Let q(r) be the first derivative of r**3/27 - 23*r**2/9 + 958. Suppose q(f) = 0. What is f?
0, 46
Let s(k) be the first derivative of 5/4*k**4 + 16/9*k**3 + 1/2*k**2 - 2/3*k - 26 + 4/15*k**5. Determine w so that s(w) = 0.
-2, -1, 1/4
Let y(j) be the second derivative of j**7/189 + 23*j**6/135 - 5*j**5/6 + 77*j**4/54 - 26*j**3/27 - 605*j - 2. Suppose y(i) = 0. Calculate i.
-26, 0, 1
Suppose -2*u + 8 = 0, -76 = 4*b - 8*b - 2*u. Determine k, given that 46 - k**4 - 36*k - 8*k**2 + b*k**4 + 16*k**3 - 54 + 20*k**3 = 0.
-2, -1, -1/4, 1
Let v(c) be the third derivative of -c**7/42 - 17*c**6/24 - 5*c**5/2 + 1060*c**2. Factor v(s).
-5*s**2*(s + 2)*(s + 15)
Let r(w) be the first derivative of -3*w**2/2 - 79*w - 81. Let q be r(-27). What is f in -4/11 - 2/11*f**q + 6/11*f = 0?
1, 2
Let j(f) be the third derivative of -f**8/1288 - 29*f**7/2415 - 31*f**6/460 - 131*f**5/690 - 7*f**4/23 - 20*f**3/69 + 712*f**2. Let j(d) = 0. What is d?
-5, -2, -1, -2/3
Let o = 2/73 - -69/146. Let r be 76/133*(280/(-16))/(-5). Factor -o*c**3 + 1/2*c + 2 - r*c**2.
-(c - 1)*(c + 1)*(c + 4)/2
Let i be (-4 - -8) + ((-111)/74)/(3/8). Determine j so that -1/2*j**3 + 1/8*j**5 - 1/2*j**2 + i + 0*j + 1/8*j**4 = 0.
-2, -1, 0, 2
Let g(k) = k**2 + 20*k + 21. Let r be g(-19). Let u(i) = -i**3 + 2*i**2 + i + 2. Let p be u(r). Factor -3*a - 43 - a**2 - 38 - 19*a + p*a.
-(a + 9)**2
Let y = 185 - 183. Factor -7 + 8*o - 9 + 0*o**2 + 0*o - o**y.
-(o - 4)**2
Let v(i) = 21 - 13*i - 23 + 0*i**2 - i**2. Let s be v(-12). Let -s - 3*u**2 - 2*u**2 - 361*u + 346*u = 0. What is u?
-2, -1
Let m(d) = -5*d**3 - 4*d**2 - 5*d - 3. Let r be m(-2). Let p = r - 31. What is g in 3*g**4 - 15*g**4 + p*g**2 + 18*g**3 + 36*g - 54*g**3 - 3*g**2 - 12 = 0?
-2, 1/2
Let g(k) be the second derivative of 5*k**5/38 + 3095*k**4/114 - 1247*k**3/19 + 1125*k**2/19 + 798*k. Find q, given that g(q) = 0.
-125, 3/5
Let i(t) be the third derivative of -t**5/30 + t**4/8 + 3*t**2 - 68. Let x be i(0). Factor 2*v**2 + 2/5*v**3 + 8/5*v + x.
2*v*(v + 1)*(v + 4)/5
Suppose 38*u = 39*u - 30. Determine c so that 30*c**4 - u*c**2 + 35*c + 5*c**5 + c**5 - c**5 - 3136*c**3 + 3096*c**3 = 0.
-7, -1, 0, 1
Let l be -2 - -9 - (6 + (-4)/2). Suppose -37*t - l*t + 120 = 0. Find m such that 0*m**2 + 0*m + 0 - 1/3*m**5 + 2/3*m**4 - 1/3*m**t = 0.
0, 1
What is j in 12/5*j**3 + 0 + 4*j**4 - 68/5*j**2 - 4/5*j**5 + 8*j = 0?
-2, 0, 1, 5
Suppose k + 334*h = 330*h - 24, -5*k + h + 6 = 0. Let o(m) be the third derivative of k*m**4 + 2/15*m**3 - 1/300*m**5 + 20*m**2 + 0*m + 0. Factor o(s).
-(s - 2)*(s + 2)/5
Let a(y) = 25*y**2 - 37*y + 36. Let g(z) = -9*z**2 + 12*z - 12. Let d be ((-18)/(-8) - 2) + (-11)/(-4). Let k(s) = d*a(s) + 8*g(s). Let k(t) = 0. What is t?
1, 4
Let n(k) be the third derivative of 0 + 34/105*k**7 + 0*k**4 + 0*k**5 + 1/84*k**8 + 0*k**3 - k**2 - 32*k + 8/15*k**6. Determine t, given that n(t) = 0.
-16, -1, 0
Let y(f) = 3*f**4 + 3*f**3 + 12*f**2 + 8*f + 20. Let r(n) = -2*n**4 - 3*n**3 - 13*n**2 - 9*n - 15. Let a(z) = 4*r(z) + 3*y(z). Solve a(b) = 0.
-2, -1, 0, 6
Let q = -12/6469 + 6517/25876. Determine g, given that 49/4 + 7/2*g + q*g**2 = 0.
-7
Factor -1/4*j**2 + 70*j + 0.
-j*(j - 280)/4
Let u(l) be the third derivative of -2*l**7/15 - l**6/15 + 7*l**5/5 - 4*l**4/3 - 8*l**3/3 - 448*l**2. Suppose u(o) = 0. What is o?
-2, -2/7, 1
Let q(k) be the second derivative of 0*k**2 + 4/9*k**3 - k - 1/18*k**4 - 2. Find a, given that q(a) = 0.
0, 4
Let o(y) = 8*y**3 - 10*y**2 + 2*y - 3. Let g(b) = b**3 - b - 1. Let s be 10/((-300)/54)*10/(-6). Let a(x) = s*g(x) - o(x). Factor a(n).
-5*n*(n - 1)**2
Suppose 12 = 2*r + l + 13, -5*r = -l - 1. Let m(a) be the third derivative of 1/150*a**5 + r*a**3 - 1/120*a**4 - 1/600*a**6 + 0 + 0*a + 2*a**2. Factor m(c).
-c*(c - 1)**2/5
Factor 10576*k - 18547*k - 91204 + 1204*k**2 - 19394*k - 62631*k - 4*k**3.
-4*(k - 151)**2*(k + 1)
Let z(i) be the second derivative of 14/15*i**6 - 28*i + 0*i**3 + 2 + 0*i**2 + 2*i**4 - 1/21*i**7 - 5/2*i**5. Suppose z(b) = 0. Calculate b.
0, 1, 12
Let 16/7*u**2 + 26/7*u - 2*u**3 - 4/7 = 0. Calculate u.
-1, 1/7, 2
Suppose 2*h + 1 - 5 = 0. Let n(k) = -9*k**h + 15*k - k + 17*k - 9 - 5*k. Let u(g) = 18*g**2 - 51*g + 19. Let d(m) = -14*n(m) - 6*u(m). Let d(j) = 0. What is j?
2/9, 3
Let u(f) be the first derivative of -f**3/3 - f**2 - f + 141. Let z(p) = -8*p**2 - 17*p - 9. Let n(r) = -51*u(r) + 6*z(r). Determine h, given that n(h) = 0.
-1, 1
Let y be (-2)/3*(-117)/26. Factor 9*n**y + 13*n**3 - 26*n**3.
-4*n**3
Let i be 9*(144/(-270)*-19 + 1*-10). Solve 3/5*x**2 + 3/5*x**3 + 0 - i*x = 0.
-2, 0, 1
Let r(d) = d**3 + 8*d**2 - 4*d - 1751. Let g be r(0). Let j = g + 7007/4. Find u, given that 1 - 7/4*u**2 + j*u = 0.
-4/7, 1
Let l(k) = -k**3 - 6*k**2 + 21*k - 2. Let t be l(-8). Let u = t - -42. What is d in 4/3*d**4 + 0 - 1/3*d**3 + u*d**2 + 0*d = 0?
0, 1/4
Let u(v) be the first derivative of -10*v**3/3 - 414*v**2 + 166*v - 1086. Let u(b) = 0. What is b?
-83, 1/5
What is c in -160/3*c - 32/3*c**3 + 136/3*c**2 + 2/3*c**4 + 0 = 0?
0, 2, 4, 10
Let l be (104/40 + -1)*15/12. Let f(q) be the first derivative of -4/3*q**3 - 23 + 0*q**l + 4*q. Factor f(s).
-4*(s - 1)*(s + 1)
Let i(d) = d - 7. Let x be i(8). Suppose 20 = 9*v + 38. Let l(a) = a**2 + 1. Let z(u) = -u**3 + u + 4. Let n(w) = v*l(w) + x*z(w). Determine s so that n(s) = 0.
-2, -1, 1
Factor 4556 - 6*a**3 + 3*a**3 + 409*a**2 - 215*a**2 - 12356 + 1260*a - 212*a**2.
-3*(a - 10)**2*(a + 26)
Let u(d) be the first derivative of 5/7*d**2 + 1/21*d**3 + 9/7*d + 93. Find k, given that u(k) = 0.
-9, -1
Let r(x) be the third derivative of -4*x**3 + 102*x**2 + 0 + 0*x + 19/6*x**4 - 1/5*x**5. Factor r(c).
-4*(c - 6)*(3*c - 1)
Let y be (-125)/(-75) - 7/((-126)/(-30)). Let o(t) be the second derivative of -1/30*t**4 + 0 - 1/100*t**5 - 32*t + 0*t**3 + y*t**2. Factor o(d).
-d**2*(d + 2)/5
Let r(y) be the third derivative of y**8/1008 + 19*y**7/630 - y**6/180 - 19*y**5/90 + y**4/72 + 19*y**3/18 + 2316*y**2. Determine b so that r(b) = 0.
-19, -1, 1
Let n(f) = 2*f**3 - 85*f**2 + 344*f - 73. Let t be n(38). Let 8/15*w + 2/15*w**4 + 2/3*w**t + 16/15*w**2 + 0 = 0. What is w?
-2, -1, 0
Let d(t) be the third derivative of 6*t**2 - 10/21*t**4 + 6/245*t**7 - 8/21*t**3 - 5/21*t**5 + 0*t + 0*t**6 + 0. Suppose d(h) = 0. Calculate h.
-1, -2/3, -1/3, 2
Let h = 25289/6 - 4214. Let l(k) be the third derivative of 0*k**5 - 1/12*k**6 + 0 + 0*k + 5/12*k**4 + 3*k**2 - h*k**3 + 1/42*k**7. Factor l(a).
5*(a - 1)**3*(a + 1)
Let y(z) be the second derivative of -z**5/100 - 31*z**4/30 + 953*z**3/30 - 165*z**2 - 10470*z. Suppose y(l) = 0. What is l?
-75, 2, 11
Let u(x) be the second derivative of 2*x**7/21 - 2*x**6/15 - 22*x**5/5 - 44*x**4/3 - 16*x**3 + 2015*x. Factor u(z).
4*z*(z - 6)*(z + 1)*(z + 2)**2
Let a = 300 - 289. Factor -18*b + a*b**3 - 19*b**2 + 2*b - b**4 + 20*b**2 + 5*b.
-b*(b - 11)*(b - 1)*(b + 1)
Let p(f) be the first derivative of 2/3*f**3 + 0*f**2 + 1/6*f**4 + 1/15*f**5 - 14*f + 1/90*f**6 - 6. Let c(t) be the third derivative of p(t). Solve c(i) = 0.
-1
Let c(y) = -13*y**2 - 13703*y - 5889317. Let j(i) = 20*i**2 + 20552*i + 8833976. Let v(l) = -8*c(l) - 5*j(l). Let v(s) = 0. What is s?
-858
Let k(a) = 3*a**3 - 3*a**2 - 6*a. Let n(g) = 4*g**3 - 4*g**2 - 8*g. Let f = 292 + -287. Let t(u) = f*k(u) - 4*n(u). Find m such that t(m) = 0.
-1, 0, 2
Let z = 914114 + -15539898/17. Suppose 6/17*l**3 + 28/17 - 18/17*l - z*l**2 = 0. What is l?
-1, 2/3, 7
Let p(c) be the second derivative of c**4/20 - 348*c**3/5 + 181656*c**2/5 - 1615*c. Factor p(i).
3*(i - 348)**2/5
Suppose 4*x - 3*t - 42 - 161 = 0, -3*t - 253 = -5*x. Factor 10*s**3 - 204 - x*s**2 + 184 + 8*s**3 + 54*s - 2*s**4.
-2*(s - 5)*(s - 2)*(s - 1)**2
Let a be 15/18 - (-312)/144. Let q(j) be the third derivative of 0*j - 1/60*j**6 + 0 + j**2 + 1/10*j**5 + 0*j**4 + 0*j**a. Factor q(r).
-2*r**2*(r - 3)
Let p(v) be the second derivative of -2*v**6/45 - 11*v**5/15 + 40*v**4/9 - 56*v**3/9 - 60*v - 3. Suppose p(a) = 0. Calculate a.
-14, 0, 1, 2
Let y(n) = 12*n + 65. Let a be y(-5). Let 495*t**3 - 1155*t**2 - 528*t - 1925*t**3 + 2531*t - 5*t**a + 195*t**2 - 165*t**4 + 557*t = 0. What is t?
-16, -2, 0, 1
Let f be ((-558)/24)/(210/(-9968)). Let j = f + -1097. What is y in -9/5*y**5 - 33/5*y**4 - 12/5*y + 0 + j*y**2