86*u**2 + 136331 - 3282*u**2.
4*(u + 213)**2
Let y(i) = -14*i**4 - 36*i**3 - 206*i**2 + 1296*i + 10. Let r(w) = 4*w**4 + 12*w**3 + 69*w**2 - 432*w - 3. Let v(m) = 20*r(m) + 6*y(m). Solve v(k) = 0 for k.
-6, 0, 6
Suppose -5*k = -1001 + 406. Factor p**3 + k*p**2 + p - 243*p**2 + 3 - 2*p + 121*p**2.
(p - 3)*(p - 1)*(p + 1)
Suppose -948 = -630*m + 312. Factor 2*j + 1/2*j**m + 0.
j*(j + 4)/2
Let w(n) be the first derivative of 26*n**2 + 24*n + 32/3*n**3 - 52 + n**4. Factor w(k).
4*(k + 1)**2*(k + 6)
Let m(t) = -11*t**2 - 176*t + 1320. Let c(f) = -60*f**2 - 884*f + 6600. Let r(u) = -3*c(u) + 16*m(u). Solve r(i) = 0 for i.
11, 30
Let y be (((-156)/(-6))/13)/1. Let t = 7 + 3. Let -33 - t*z - 35*z**y + 33 + 45*z**3 = 0. Calculate z.
-2/9, 0, 1
Factor -2448*d**2 - 15705*d + 47375*d**3 - 47370*d**3 - 5397*d**2 - 7855.
5*(d - 1571)*(d + 1)**2
Suppose -3*v - 480 = -5*q, 2*q - v - 161 = -6*v. Suppose -q = 11*k - 42*k. Factor 0 - 2/11*f**k + 6/11*f**2 - 4/11*f.
-2*f*(f - 2)*(f - 1)/11
Suppose -18*z + 6 = -16*z. Suppose 59 = z*x - 64. Suppose 5*o**2 - x + 41 = 0. Calculate o.
0
Let x be (26 - 14) + 4*-2. What is t in -68*t + 17*t + 372 + 95*t + 60*t**2 - 628 + x*t**3 + 148*t = 0?
-8, 1
Let q(r) be the first derivative of -121*r**7/280 + 11*r**6/120 + 12*r**5/5 - 9*r**4/2 + 49*r**3/3 + 61. Let z(b) be the third derivative of q(b). Factor z(o).
-3*(o + 1)*(11*o - 6)**2
Let v(u) = -u**3 + 11*u + 40 - 8*u**2 + 2*u**2 + 6*u - 13*u - 61. Let p be v(-7). Factor p*i + 2/19*i**2 - 2/19.
2*(i - 1)*(i + 1)/19
What is r in 375*r**2 + 384/5*r**4 - 12/5*r**5 + 2169/5*r**3 + 0 + 444/5*r = 0?
-4, -1/2, 0, 37
Factor 17/5*p + 1/5*p**2 + 72/5.
(p + 8)*(p + 9)/5
Let h(o) be the first derivative of -1/12*o**3 - 52 + 3/2*o**2 + 0*o - 1/16*o**4. Let h(u) = 0. What is u?
-4, 0, 3
Let d(b) be the second derivative of 53*b - 2 - 13/4*b**3 + 5/16*b**4 + 15/16*b**5 + 1/56*b**7 + 11/40*b**6 - 6*b**2. What is x in d(x) = 0?
-8, -2, -1, 1
Let n(t) = 11*t**3 + 10*t**2 + 17*t. Let u(r) be the first derivative of -5/3*r**3 + 8 + 0*r - 5/4*r**4 - 4*r**2. Let s(l) = 4*n(l) + 9*u(l). Factor s(a).
-a*(a + 1)*(a + 4)
Let m = -187 + 215. Let f(h) = -4*h**3 + 56*h**2 - 184*h + 104. Let r(l) = -l**3 + 11*l**2 - 37*l + 21. Let p(a) = m*r(a) - 6*f(a). Find v such that p(v) = 0.
-9, 1
Let b = -354 + 358. Let r be (-39)/208*b*16/(-9). What is u in -26/3*u**3 - 56/3*u - r*u**4 - 16/3 - 20*u**2 = 0?
-2, -1/2
Let b(u) = -5*u**3 - 15*u**2 - 15*u. Let j(g) = -3*g**3 - 8*g**2 - 7*g. Let x = -13 + 8. Let t(o) = x*j(o) + 2*b(o). Factor t(i).
5*i*(i + 1)**2
Let j = -380050 + 2660352/7. Let j*f**2 - 16/7*f + 32/7 = 0. Calculate f.
4
Let c = 15404/5 + -3195. Let l = c + 2299/20. Let -3/4*p**3 + 6*p - l*p**2 + 9 = 0. What is p?
-2, 3
Factor -5/2*u - 13/3 - 1/6*u**2.
-(u + 2)*(u + 13)/6
Let n(j) be the first derivative of -j**4 + 16*j**3 + 122*j**2 + 192*j + 1677. Factor n(d).
-4*(d - 16)*(d + 1)*(d + 3)
Let a(z) = 53*z - 3763. Let l be a(71). Determine g, given that -2/9*g - 4/9*g**2 + l - 2/9*g**3 = 0.
-1, 0
Let y(p) = -p**3 - 9*p**2 + 8*p - 16. Let r be y(-10). Factor -7*t**4 - 68 + 40*t**3 - 128*t + 18*t**4 + 580 - 15*t**r - 96*t**2.
-4*(t - 4)**3*(t + 2)
Let s(k) be the first derivative of 85*k**3/3 + 210*k**2 + 495*k + 1851. Solve s(p) = 0.
-3, -33/17
Let h(a) be the third derivative of 0*a + 9 + 5/12*a**4 - 25/2*a**3 + 1/12*a**5 + 2*a**2. Factor h(r).
5*(r - 3)*(r + 5)
Let t(s) = 15*s**2 - 45*s - 55. Let q(w) = 8*w**2 - 23*w - 28. Suppose -15 = 7*g - 4*g. Let a(l) = g*q(l) + 3*t(l). Let a(f) = 0. Calculate f.
-1, 5
Let j = 1349 + -1344. Let c be -5 - (30/j - (-45)/(-4)). Determine l, given that -c + 1/2*l - 1/4*l**2 = 0.
1
Let k(w) = -7*w - 39. Let s be k(-10). Factor -s*v + 40*v - 2*v**2 - 48 + 13*v.
-2*(v - 8)*(v - 3)
Let m be (226 - -104)/((-6)/(-16)). Let z = m - 878. Find w such that 3/2*w**z + 9 + 21/2*w = 0.
-6, -1
Suppose 0 = -96*o - 8091 + 27. Let d be (-12)/(o/(-17)) + 3. Let d - 22/7*b + 24/7*b**2 = 0. Calculate b.
1/4, 2/3
Let f(n) be the second derivative of 25*n**7/7 - 41*n**6/12 - 2287*n**5/60 - 4483*n**4/72 - 404*n**3/9 - 16*n**2 + 7*n + 111. Determine v, given that f(v) = 0.
-1, -8/15, -1/4, 3
Suppose 691 = -15*l + 766. Let d(h) be the second derivative of -2/15*h**6 - 16*h**2 - 1/5*h**l + 8/3*h**3 + 2*h**4 + 30*h - 1. Let d(g) = 0. Calculate g.
-2, 1, 2
Let j(n) be the third derivative of 3*n**7/700 - 14*n**6/225 + 19*n**5/100 - n**4/6 - 2*n**3 + 141*n**2. Let o(y) be the first derivative of j(y). Factor o(q).
2*(q - 5)*(q - 1)*(9*q - 2)/5
Let t(a) = -a**2 + 32*a + 369. Let q be t(41). Let g(h) be the second derivative of 17/4*h**4 + 6*h**2 + q - 8*h - 27/4*h**5 + 12*h**3. Solve g(w) = 0.
-2/5, -2/9, 1
Let l(d) be the first derivative of 4*d**5 - 115*d**4/4 + 10*d**3 + 215*d**2/2 + 50*d + 1340. Find y, given that l(y) = 0.
-1, -1/4, 2, 5
Let d(v) = -2*v**4 + 12*v**3 - v**2 - 15*v + 3. Let h(l) = 2*l**4 - 12*l**3 + 14*l - 2. Let x(b) = 2*d(b) + 3*h(b). Find a such that x(a) = 0.
-1, 0, 1, 6
Let r(y) be the first derivative of 0*y**3 + 1/6*y**4 - 16 + 3/20*y**5 + 18*y + 0*y**2 + 1/30*y**6. Let c(t) be the first derivative of r(t). Factor c(m).
m**2*(m + 1)*(m + 2)
Let a(y) = 12*y**3 + 2688*y**2 + 3574*y + 1152. Let n(g) = -25*g**3 - 5377*g**2 - 7150*g - 2292. Let d(o) = -7*a(o) - 3*n(o). Factor d(j).
-(j + 297)*(3*j + 2)**2
Factor 28/3*i**2 + 80/9 - 22/9*i**3 + 2/9*i**4 - 136/9*i.
2*(i - 5)*(i - 2)**3/9
Let z(m) be the second derivative of -35/2*m**4 + 115/12*m**5 - 8 + 3*m - 16/3*m**2 + 122/9*m**3 - 25/36*m**6. Determine b so that z(b) = 0.
2/5, 8
Find o such that -310/9*o**2 + 68/9*o + 22/9*o**4 + 0 - 356/9*o**3 = 0.
-1, 0, 2/11, 17
Let l(v) be the first derivative of 144/5*v - 187 + 28/15*v**3 - 12*v**2 - 1/10*v**4. Find p, given that l(p) = 0.
2, 6
Let n be 143 - 102 - -1*1*-1. Factor 10*w**3 + n*w - 14*w + 5*w**2 - 12*w - 19*w.
5*w*(w + 1)*(2*w - 1)
Let s = -194 - -206. Let q be -14 - -18 - s/3. Factor -16/3*w + q*w**3 + 4*w**2 + 2 - 2/3*w**4.
-2*(w - 1)**3*(w + 3)/3
Let y be 49652/37 + (-50)/(-925). Let k = y + -1340. Let 4/3 + 4/3*r**4 + 2/3*r - 4/3*r**3 - 8/3*r**k + 2/3*r**5 = 0. What is r?
-2, -1, 1
Suppose 18402*t**3 - 392 - t**4 + 115*t + 529*t - 282*t**2 - 18371*t**3 = 0. What is t?
1, 2, 14
Let l(v) be the second derivative of -3*v**5/100 - 9*v**4/4 - 264*v**3/5 - 726*v**2/5 + 964*v. Factor l(d).
-3*(d + 1)*(d + 22)**2/5
Let b = 841453 + -841450. Suppose 0 - 72/7*o - 39/7*o**b + 6/7*o**4 - 114/7*o**2 + 3/7*o**5 = 0. Calculate o.
-3, -2, -1, 0, 4
What is l in -14/3*l**2 - 8/3*l - 1/3*l**4 + 0 - 7/3*l**3 = 0?
-4, -2, -1, 0
Let i(o) be the third derivative of -o**7/10080 - 11*o**6/2880 - o**5/48 - 47*o**4/24 - o**2 + 4*o. Let b(f) be the second derivative of i(f). Factor b(n).
-(n + 1)*(n + 10)/4
Let w(u) be the second derivative of u**7/147 - u**6/105 - 11*u**5/70 + 3*u**4/14 + 6*u**3/7 - 401*u. Suppose w(p) = 0. Calculate p.
-3, -1, 0, 2, 3
Let q = -1185 + 1190. Let z(r) be the second derivative of r**2 - 1/20*r**q - 1/4*r**4 + 1/6*r**3 + 1/30*r**6 + 0 - 26*r. Suppose z(o) = 0. What is o?
-1, 1, 2
Let s(i) be the third derivative of -i**6/360 + 47*i**5/36 - 1547*i**4/8 + 1521*i**3/2 - 2*i**2 + 118*i. Factor s(a).
-(a - 117)**2*(a - 1)/3
Let y = 9817 - 49602/5. Let b = y - -519/5. Determine c so that -b*c**2 - 128/5 - 32/5*c = 0.
-8
Let t be (-1005)/(-75) + (-85)/(510/36). Determine l so that t*l**2 + 4*l + 9/5*l**4 + 4/5 + 6*l**3 = 0.
-1, -2/3
Let w(i) be the first derivative of 4*i**3/3 - 1306*i**2 + 2608*i - 6803. Factor w(b).
4*(b - 652)*(b - 1)
Let t = -24050/7 - -3438. Let r(m) be the first derivative of t*m + 2/21*m**3 - 12 + 10/7*m**2 - 1/14*m**4. Factor r(w).
-2*(w - 4)*(w + 1)*(w + 2)/7
Suppose -65*q - 439*q = -120*q + 5*q. Factor 144/7*k**3 + 48/7*k**4 + 0*k**2 + 4/7*k**5 + q + 0*k.
4*k**3*(k + 6)**2/7
Let k(a) be the third derivative of 0*a - 11*a**2 + 0*a**4 - 1/630*a**6 + 0 + 2/3*a**3 - 1/210*a**5. Let v(c) be the first derivative of k(c). Factor v(q).
-4*q*(q + 1)/7
Let u(x) = -x**2 - 15*x - 54. Let l be u(-8). Factor 4*c**3 - 34 - 136*c**l - 6 + 132*c + 1 + 39.
4*c*(c - 33)*(c - 1)
Let o(m) be the third derivative of m**8/336 + m**7/210 - 17*m**6/120 + m**5/4 + 305*m**2. Factor o(u).
u**2*(u - 3)*(u - 1)*(u + 5)
Let n(a) be the second derivative of -a**4/54 - 617