 3/14*i**4 + 0*i**2 + 2*i - 1/49*i**7. What is p in w(p) = 0?
-3, -1, 0, 2/3, 3
Let r(n) be the first derivative of -n**3/8 + 153*n**2/16 + 105*n - 2953. Factor r(o).
-3*(o - 56)*(o + 5)/8
Let l(o) = 5*o**2 + 11*o - 12. Let m be l(1). Let f(r) = -4*r**3 + 14*r**2 + r - 31. Let u(b) = -b**3 + b**2 + b + 1. Let i(x) = m*f(x) - 20*u(x). Factor i(k).
4*(k - 2)*(k + 2)*(k + 9)
Let p(k) = k**2 - 1300*k + 24341. Let d be p(19). Find q such that 2/13*q**4 - 8/13*q**3 + 0*q + 0*q**d + 0 = 0.
0, 4
Let g(m) be the third derivative of -m**8/420 + 2*m**7/25 + 169*m**6/150 - 63*m**5/25 - 4*m**2 - 1163. Suppose g(r) = 0. What is r?
-7, 0, 1, 27
Determine g, given that 2/5*g**2 + 1036/5*g + 134162/5 = 0.
-259
Let r(f) be the first derivative of -32*f**3/3 - 79*f**2 + 10*f - 2536. Factor r(c).
-2*(c + 5)*(16*c - 1)
Factor 4/7*a**3 + 18/7*a**2 - 20/7*a**4 + 2/7 - 13/7*a + 9/7*a**5.
(a - 1)**3*(a + 1)*(9*a - 2)/7
Let w = 1/320978 + 458539/320978. Suppose w*g - 8/7*g**2 + 0 - 2/7*g**3 = 0. What is g?
-5, 0, 1
Suppose 30*d - 27*d = -q - 15, 4*d + 19 = -q. Let m(o) = -40*o**2 - 452*o - 88. Let l(f) = 41*f**2 + 451*f + 86. Let u(y) = d*l(y) - 3*m(y). Factor u(h).
-4*(h + 10)*(11*h + 2)
Let r(v) be the second derivative of -2/15*v**3 + 2 + 1/30*v**4 + 1/50*v**5 + 0*v**2 + 22*v. Solve r(x) = 0.
-2, 0, 1
Let b(v) be the third derivative of -v**6/960 + 107*v**5/240 - 635*v**4/192 + 211*v**3/24 + 5*v**2 - 59*v. What is o in b(o) = 0?
1, 2, 211
Let l(a) = 3*a**3 - 44*a**2 + 29*a + 3. Let r be l(14). Suppose 0*p + r*p = 9*p. Find s, given that -2*s**2 + 16/3*s**3 + 0*s + p = 0.
0, 3/8
Solve -97/3*z + 1/3*z**2 - 66 = 0.
-2, 99
Find x, given that 0 - 411019*x**2 - 2 - 357965*x**2 - 7137*x - 91765424*x**3 + 4989*x = 0.
-1/358
Let a be 76*1/18 - (-4)/(-18). Factor -5*k**2 + 0*k + 0*k**2 + k**2 - a*k.
-4*k*(k + 1)
Let k(i) be the second derivative of 5/42*i**4 + 3/7*i**2 + 1/3*i**3 + 1/70*i**5 + 0 - 98*i. Solve k(n) = 0 for n.
-3, -1
Let p = 14/1693 - -4099/118510. Let r(q) be the third derivative of q**3 + 0*q + p*q**7 - 47/120*q**6 + 0 + 73/60*q**5 - 41/24*q**4 + 29*q**2. Factor r(g).
(g - 3)*(g - 1)**2*(9*g - 2)
Factor 1002/5*h + 251001/5 + 1/5*h**2.
(h + 501)**2/5
Let g be 2/(-3) - 1 - (-1173)/153. Let a be 210/180*g/28. Factor 0*l**2 - a*l**3 + 0 + 1/4*l.
-l*(l - 1)*(l + 1)/4
Factor 14759 - 185884 - 35*w**3 - 495*w**2 - 45*w**3 - 18742*w + 2647*w + 75*w**3.
-5*(w + 25)*(w + 37)**2
Let z be 56/(-70) - (-10216)/(-180). Let w = 718/9 + z. Factor 2/9*p**2 + w + 40/9*p.
2*(p + 10)**2/9
Let w(b) be the third derivative of 0*b**7 - 1/336*b**8 + 0 - 5/2*b**4 - 2*b - 12*b**3 + 16*b**2 + 1/6*b**5 + 1/8*b**6. Factor w(q).
-(q - 3)**2*(q + 2)**3
Factor -2/3*b**2 - 176/3 + 52/3*b.
-2*(b - 22)*(b - 4)/3
Let p(j) = -18*j**2 - 2359*j + 2338. Let t(d) = -8*d**2 - 1178*d + 1168. Let u(a) = 6*p(a) - 13*t(a). Suppose u(n) = 0. Calculate n.
1, 289
Let a(k) be the second derivative of -k**7/189 - 2*k**6/135 + 8*k**5/45 + k**4/27 - 5*k**3/9 + k - 118. Determine c, given that a(c) = 0.
-5, -1, 0, 1, 3
Let m(d) be the second derivative of 4*d**4/3 + 2354*d**3/3 - 1770*d**2 + 7874*d. Factor m(c).
4*(c + 295)*(4*c - 3)
Suppose -u + 19 = l + 1, -21 = -2*l - 5*u. Suppose 7*n - l - 26 = 0. Factor 8 - 40*v + n*v**2 - 5*v**4 + 7 + 23*v**2.
-5*(v - 1)**3*(v + 3)
Let c = -40 + 40. Let q(y) be the third derivative of 1/1050*y**7 + 0*y**3 - 1/300*y**6 + 0*y**4 + 20*y**2 + 0*y + c + 1/300*y**5. What is a in q(a) = 0?
0, 1
Suppose -q + o - 32 = -6*q, -4*q - o = -26. Let v = q + 3. Factor v*r**2 - 4*r**2 - 4*r**2.
r**2
Let t(k) be the first derivative of 4*k**5/25 - 3*k**4/5 + 4*k**3/5 - 2*k**2/5 - 9178. What is a in t(a) = 0?
0, 1
Let z(n) be the first derivative of 2*n**3/27 - 19*n**2/9 - 28*n/3 + 50. Factor z(w).
2*(w - 21)*(w + 2)/9
Let s be ((4823/(-477))/(-13))/(21/36). Suppose s*c + 8/3 + 1/6*c**2 = 0. Calculate c.
-4
Factor 0 + 0*p**2 + 0*p - 1/4*p**4 - 14*p**3.
-p**3*(p + 56)/4
Let 31*c**4 - 74*c**3 + 31 - 13 + 11*c**4 - 114*c**2 + 118*c**3 + 49*c**3 - 39*c = 0. What is c?
-3, -1/2, 2/7, 1
Let z(p) be the second derivative of 0*p**5 - 16*p + 0*p**3 + 1/3*p**4 - 1/15*p**6 + 0 - p**2. Factor z(b).
-2*(b - 1)**2*(b + 1)**2
Suppose -3088854*c = -3088842*c - 24. Factor -2/5*t**c + 0*t - 6/5*t**4 - 2/5*t**5 - 6/5*t**3 + 0.
-2*t**2*(t + 1)**3/5
Let t(x) be the first derivative of -x**7/126 + x**6/90 + x**5/60 - x**4/36 - 107*x + 157. Let r(y) be the first derivative of t(y). Factor r(w).
-w**2*(w - 1)**2*(w + 1)/3
Let z = -41/7248 + 4/151. Let w(p) be the second derivative of -3*p + 5/24*p**3 + 0 + z*p**4 + 1/2*p**2. Let w(o) = 0. What is o?
-4, -1
Let a be -3 - -2 - (-663)/612. Let f(p) be the second derivative of 0 + 1/3*p**3 + a*p**4 + 0*p**2 - 11*p - 1/20*p**5. Factor f(d).
-d*(d - 2)*(d + 1)
Let q(i) = -i + 21. Let n(h) = 2*h - 47. Let t(f) = -2*n(f) - 5*q(f). Let j be t(13). Solve -6/5*b - 2/5*b**j - 4/5 = 0 for b.
-2, -1
Let r(n) = 3*n**2 + 790*n - 1632. Let b(z) = -z**2 - 398*z + 816. Let d(o) = -5*b(o) - 2*r(o). Suppose d(s) = 0. Calculate s.
2, 408
Let c(x) be the second derivative of x**7/168 - x**6/10 + 23*x**5/80 + 7*x**4/2 - 51*x**3/2 + 54*x**2 - 75*x - 1. Find h such that c(h) = 0.
-4, 1, 3, 6
Let o(r) be the first derivative of 28/3*r**3 - 100 - 31/2*r**2 + r**4 + 8*r. Find q such that o(q) = 0.
-8, 1/2
Suppose 2*q - 116 = -112. Determine b so that 54*b + q*b**2 - 90*b + 60*b - 26 = 0.
-13, 1
Let w(i) be the first derivative of 49*i**5/12 + 35*i**4/12 + 5*i**3/6 + 33*i**2 - 2*i - 96. Let k(m) be the second derivative of w(m). Factor k(q).
5*(7*q + 1)**2
Let y = 747 - 744. Find x, given that -35*x**3 + 40 + 80*x**2 + 108*x - 24*x**4 - 4*x**5 + 56*x**3 - 12*x**3 - 17*x**y = 0.
-5, -1, 2
Let 1/6*d**5 + 97/6*d**2 - 11/2*d**4 - 5*d - 32/3 + 29/6*d**3 = 0. What is d?
-1, 1, 2, 32
Suppose 2*w - 1529 + 65 = 0. Let a = w + -732. Suppose 3/2*l**2 - 1/4*l**4 + 2*l + 3/4 + a*l**3 = 0. Calculate l.
-1, 3
Let b = -68289 - -68292. Determine h so that 7/4 + 15/4*h + 1/4*h**b + 9/4*h**2 = 0.
-7, -1
Let w(k) = k**3 + 20*k**2 + 148*k + 117. Let n(t) = -2*t**3 - t + 1. Let v(s) = 3*n(s) + w(s). Find a, given that v(a) = 0.
-3, -1, 8
Suppose -x = 5*g - 18695, 3*g + 2*x + 3750 = 4*g. Let k be (-10)/(g/(-77))*(-8)/(-14). Factor 6/17*w**2 + 2/17*w**3 + k + 6/17*w.
2*(w + 1)**3/17
Let f(q) be the first derivative of -q**6/7 + 92*q**5/35 + 16*q**4/7 + 997. Let f(d) = 0. What is d?
-2/3, 0, 16
Let s = 9243/15380 + -3/3076. Let g(f) be the first derivative of -40 + 3/5*f**2 - 3/10*f**4 + 3/25*f**5 + 0*f**3 - s*f. Factor g(m).
3*(m - 1)**3*(m + 1)/5
Let y(l) = 6*l**2 + 512*l - 761. Let p(t) = 5*t**2 + 458*t - 762. Let i(z) = 7*p(z) - 6*y(z). Factor i(d).
-(d - 128)*(d - 6)
Let a(j) be the first derivative of 1/9*j**3 - 126 + 2/3*j**2 + j. Solve a(r) = 0 for r.
-3, -1
Let c(h) be the first derivative of -2*h**7/945 - h**6/135 + 7*h**5/135 - 2*h**4/27 + 5*h**2 - 76. Let d(i) be the second derivative of c(i). Factor d(m).
-4*m*(m - 1)**2*(m + 4)/9
Let a(b) = b**2 + 9*b - 11. Let q be a(-11). Suppose -q*c**2 + 5*c**2 + 39*c**2 - 13*c**2 + 4*c + 16*c**3 = 0. What is c?
-1, -1/4, 0
Let k be ((-1413)/(-5024))/(3/8). Factor 363 - 33*o + k*o**2.
3*(o - 22)**2/4
Let z = -67 + 61. Let f be 4/z + 143/39. Factor f*p**2 + 3*p + 372 - 3*p - 384.
3*(p - 2)*(p + 2)
Let z(i) = 3*i**2 - 651*i - 12. Let f(g) = -g**2 + 266*g + 5. Let v(b) = 12*f(b) + 5*z(b). What is r in v(r) = 0?
0, 21
Find q, given that 16*q**3 + 42 - 16*q - 2/3*q**4 - 124/3*q**2 = 0.
-1, 1, 3, 21
Let q(s) be the first derivative of 4*s**3/3 + 128*s**2 + 1180*s + 2542. Solve q(z) = 0 for z.
-59, -5
Suppose -4*w + 23 = 2*v - v, 5*v = 4*w - 5. Factor -4*t + 26*t**3 - 16*t**2 - 92*t**5 + 96*t**w + 8*t - 16*t**4 - 2*t**3.
4*t*(t - 1)**4
Let 9*x**3 + 42*x**4 - 85*x + 95*x**3 - 8*x**5 - 20*x**2 - 70 - 59*x = 0. What is x?
-1, 5/4, 7
Let w = 10/33 - -16/165. Let i be 16/(-21)*(-3066)/1460. Find v such that 8/5 + w*v**2 + i*v = 0.
-2
Let c(r) be the first derivative of -r**5/40 - 7*r**4/16 + 29*r**2/2 + 2*r - 34. Let t(x) be the second derivative of c(x). Factor t(p).
-3*p*(p + 7)/2
Let d = -105756/5 + 21152. Factor d*j**5 + 0*j + 0 + 4/5*j**2 - 4/5*j**4 - 4/5*j**3.
4*j**2*(j - 1)**2*(j + 1)/5
Let -3*r**3 - r**3 - 9823*r**2 + 19486*r**2 - 136*r - 9739*r**2 = 0. What is r?
-17,