- 99*t**3 - 20*t**4 + 1393 - 135*t**2 + 1847 + 1188*t.
-(t - 3)*(t + 5)*(t + 6)**3
Let q(k) be the third derivative of k**7/150 + 3*k**6/25 + k**5/300 - 3*k**4/2 + 10*k**3/3 + 2*k**2 - 107. Let q(d) = 0. Calculate d.
-10, -2, 5/7, 1
Let z(m) = -m**3 + 10*m**2 - 13*m + 38. Let a be z(9). Suppose -28*i - 6 = -31*i, 0 = a*p - i - 2. Factor -2/5*o**3 + 2/5*o**p + 0 + 4/5*o.
-2*o*(o - 2)*(o + 1)/5
Solve 7*g + 19*g**3 - 57*g**2 + 288 + 12*g**3 - 276 - 10*g**3 + 8*g + 9*g**4 = 0.
-4, -1/3, 1
Let l be -6 - (-21)/((-315)/(-120)). Factor 0 + 1/4*u**4 + 3/2*u**3 + 3*u**2 + l*u.
u*(u + 2)**3/4
Let h(r) = -52*r - 307. Let o be h(-6). Suppose -2*w + 21 + 19 = 2*g, 0 = -3*w + 4*g + 67. Suppose -o*z - w*z**2 + 2 + 0 + 8 + 16*z**2 = 0. Calculate z.
-2, 1
Let a(x) = -x**2 - x. Let q(s) = 5*s**4 - 205*s**3 + 2395*s**2 - 5785*s + 3610. Let h(v) = -10*a(v) - q(v). Let h(d) = 0. What is d?
1, 2, 19
Factor 19*k + 35/2*k**2 - 60 + 3/2*k**3.
(k + 3)*(k + 10)*(3*k - 4)/2
Let m = 3 + -1. Suppose 0*c - m*b = -2*c + 14, -4*c - 5*b - 8 = 0. Determine z, given that -6*z**2 - 3*z**3 + 2*z**c - 4*z**3 + z**3 - 2*z = 0.
-1, -1/2, 0
Let b(x) = x**3 + 16*x**2 + 5*x + 26. Let z be b(-16). Let w be (5 + z/14)/((-10)/(-35)). Factor 0*m - 2/11*m**2 + 4/11*m**3 - 2/11*m**w + 0.
-2*m**2*(m - 1)**2/11
Suppose 5*n + 3*j = -9, 29*n - j + 4 = 33*n. Let l(c) be the first derivative of 1/18*c**4 - 4/27*c**n - 33 + 0*c - 1/3*c**2. Factor l(f).
2*f*(f - 3)*(f + 1)/9
Let z = -177323326/2587 + 68544. Let u = z + 126757/7761. Solve 8/3*o - 119/3*o**4 + 6*o**3 + 0 + u*o**5 + 44/3*o**2 = 0 for o.
-2/7, 0, 1, 2
Let t = 1518 - 2557. Let n = t - -2079/2. Factor 0 + m + n*m**2.
m*(m + 2)/2
Let w(b) be the second derivative of -b**5/2 + 11*b**4/6 + 118*b**3/3 - 24*b**2 + 1553*b. Factor w(d).
-2*(d - 6)*(d + 4)*(5*d - 1)
Let h be (-2)/(36/(-3)) - (-4433)/78. Let k be h/21 + -4 + (-30)/(-7). Solve 4*r - 2 + 1/2*r**k - 5/2*r**2 = 0.
1, 2
Let g = 4939 + -39511/8. Let o(i) be the first derivative of g*i**4 - 1/6*i**3 + 0*i + 1/10*i**5 - 1/12*i**6 + 1 + 0*i**2. Factor o(y).
-y**2*(y - 1)**2*(y + 1)/2
Let g(p) be the second derivative of p**5/45 - 5*p**4/9 - 416*p**3/27 - 128*p**2/3 + 3695*p. What is o in g(o) = 0?
-8, -1, 24
Suppose -133*q - 40 = -123*q. Let g(y) = -y**2 + 16*y + 80. Let l be g(q). Factor 10/3*k**3 - 2/3*k**4 + 2/3*k**2 + l - 10/3*k.
-2*k*(k - 5)*(k - 1)*(k + 1)/3
Let s(y) be the first derivative of -70 + 2/15*y**3 + 512/5*y + 32/5*y**2. Find g such that s(g) = 0.
-16
Factor 176 - 82/3*p + 2/3*p**2.
2*(p - 33)*(p - 8)/3
Let x be (-10)/(-22) - 169880/(-24112). Factor x*o - 6 - 3/2*o**2.
-3*(o - 4)*(o - 1)/2
Let i = -865736/77 + 123686/11. Solve 10/7*f**2 + 8/7*f - 4/7*f**3 - i = 0 for f.
-1, 1/2, 3
Let y(p) be the second derivative of 0 - 1176*p**3 - 21/2*p**4 + 39*p - 65856*p**2 - 3/80*p**5. Find f such that y(f) = 0.
-56
Let t(l) be the first derivative of -11*l**6/12 - 32*l**5/5 + 243*l**4/8 + 166*l**3/3 - 149*l**2 + 48*l - 880. Solve t(n) = 0 for n.
-8, -2, 2/11, 1, 3
Let i(p) = -927*p - 4. Let q be i(-1). Let h = q + -424. Factor w**2 - 7*w - h + 499.
w*(w - 7)
Let p = -1469 + 1471. Let n(f) be the second derivative of -1/36*f**4 + 0*f**p + 0 + 12*f + 0*f**3. Factor n(o).
-o**2/3
Let y(w) be the first derivative of w**3/2 - 9*w**2/2 - 21*w/2 + 1138. Determine x so that y(x) = 0.
-1, 7
Let v(t) = 2*t**2 + 113*t + 725. Let q be v(-7). Let x be (0/(-4))/(8/q*8). Factor x + 3*u**3 - 3/2*u**5 - 3/2*u**4 + 0*u**2 + 0*u.
-3*u**3*(u - 1)*(u + 2)/2
Let m = 84485 - 84485. Let -16*q**2 + 0*q + m - 4/3*q**3 = 0. What is q?
-12, 0
Let v = 935 + -935. Let p be (1/1)/(0 + -1)*v. Find g, given that 0 + p*g**2 - 1/2*g**4 + 1/6*g**3 + 0*g + 1/3*g**5 = 0.
0, 1/2, 1
Suppose -4*s - 9 = -7*s. Suppose h + 23 = -u + 6*u, 5*u = s*h + 19. Factor -j + 0*j + 2*j - h*j**2 - 45*j**3 + 46*j**3.
j*(j - 1)**2
Let o(c) be the first derivative of -c**5/50 + 13*c**4/30 - 4*c**3/5 + 142*c + 13. Let q(a) be the first derivative of o(a). Determine l, given that q(l) = 0.
0, 1, 12
Let q be 108/63 + (-6)/(-21). Suppose 0*h + q*x = 3*h - 16, -3*x = 15. Determine s so that -20 - 5*s**3 - 45*s + 8*s**h - 18*s**2 - 20*s**2 = 0.
-4, -1
Find l, given that -144/7*l**2 + 636/7*l - 496/7 + 4/7*l**3 = 0.
1, 4, 31
Let l(f) = f**3 + f**2 - f + 1. Let z(m) = -8*m**3 - 11*m**2 + 2*m - 9. Let a be (16 - 4) + -2 + 4. Let b(r) = a*l(r) + 2*z(r). Factor b(p).
-2*(p + 1)**2*(p + 2)
Let q = 24718/483 + 254/69. Suppose -2592/7*t**5 - 864/7*t**4 + 1296/7*t**3 - q*t**2 + 46/7*t - 2/7 = 0. What is t?
-1, 1/6
Let q(j) be the third derivative of 0 + 0*j**3 + 1/120*j**6 + 152*j**2 + 0*j - 1/30*j**5 + 1/24*j**4. Factor q(l).
l*(l - 1)**2
Let c be (-123)/(-6) - (-283 - -300). Suppose 1 - c*s**3 - 11/2*s + 8*s**2 = 0. What is s?
2/7, 1
Let t(a) be the first derivative of a**6/360 - 17*a**5/60 + 289*a**4/24 - 4913*a**3/18 - 24*a**2 - 52. Let m(z) be the second derivative of t(z). Factor m(k).
(k - 17)**3/3
Let f(m) = -3*m**4 - 66*m**3 - 270*m**2 - 162*m - 54. Let h(t) = t**3 + t**2 - 9*t - 3. Let d(q) = -f(q) + 18*h(q). Let d(l) = 0. Calculate l.
-24, -4, 0
Factor -39*k**2 - 82 - 239*k + 15*k**3 + 22 + 71*k.
3*(k - 5)*(k + 2)*(5*k + 2)
Find k such that 1011/2*k**2 + 411/4*k**3 - 1800 + 3*k**4 - 7080*k = 0.
-20, -1/4, 6
Let u(q) be the second derivative of 5*q**7/6 - 103*q**6/6 + 397*q**5/4 - 125*q**4/12 - 1820*q**3/3 - 490*q**2 + 12*q - 28. Find p such that u(p) = 0.
-1, -2/7, 2, 7
Let h(g) be the third derivative of 0 + 0*g + 1/10*g**4 + 83*g**2 - 3/10*g**3 - 1/100*g**5. Factor h(b).
-3*(b - 3)*(b - 1)/5
Let m(r) be the third derivative of 0*r**7 + 0 + 0*r**3 + 1/140*r**6 + 0*r**4 + 0*r - 1/105*r**5 - 1/1176*r**8 + 8*r**2. Determine t, given that m(t) = 0.
-2, 0, 1
Determine m, given that -19/8*m - 145/4 + 1/8*m**2 = 0.
-10, 29
Factor -84*s + 19*s**2 + 1050 - 14*s**2 + s + 448*s.
5*(s + 3)*(s + 70)
Find i such that 0 - 16/7*i + 32/7*i**2 + 12/7*i**5 + 4/7*i**3 - 32/7*i**4 = 0.
-1, 0, 2/3, 1, 2
Let k(s) be the second derivative of 23/2*s**2 + 0*s**3 - s + 8 + 1/72*s**5 - 5/144*s**4. Let t(d) be the first derivative of k(d). Factor t(h).
5*h*(h - 1)/6
Suppose 4*t - 25 - 35 = 0. Suppose 0 = 2*o + 7 - t. Suppose -5*z**3 + 5 + 0 - z**o - 1 - 3*z + 8*z - 3*z**2 = 0. What is z?
-4, -1, 1
Let h(u) be the second derivative of 1/72*u**4 + 0 + 0*u**3 + 1/360*u**5 - 1/720*u**6 - 14*u + 7/2*u**2. Let q(f) be the first derivative of h(f). Factor q(g).
-g*(g - 2)*(g + 1)/6
Let h(b) = -3*b**2 + 2*b + 11. Let c(o) = 8*o**2 - 25144*o - 39488700. Let w(g) = -c(g) - 4*h(g). Determine n so that w(n) = 0.
-3142
Let z(d) be the third derivative of -d**6/280 - 117*d**5/140 + 258*d**4/7 - 608*d**3 + 1762*d**2 + d. Solve z(r) = 0 for r.
-133, 8
Suppose -20 = -15*k + 10*k. Let g(z) be the first derivative of -2*z + 1 + k*z**3 - z - 5 - 3*z**3. Solve g(d) = 0 for d.
-1, 1
Let y(s) be the second derivative of s**5/10 - 26*s**4 + 2175*s**3 - 33750*s**2 + 3*s + 891. Find i such that y(i) = 0.
6, 75
Let f(h) be the third derivative of -h**6/660 - 2*h**5/11 - 173*h**4/132 - 38*h**3/11 + 506*h**2 + 4*h. Let f(z) = 0. Calculate z.
-57, -2, -1
Let 4/7*w**3 + 0 - 116/7*w**2 + 0*w = 0. Calculate w.
0, 29
Let f(v) be the second derivative of -v**7/42 + 17*v**6/5 - 2489*v**5/20 - 1535*v**4/3 + 3224*v**3 - 5408*v**2 - 1304*v. Solve f(a) = 0 for a.
-4, 1, 52
Let s(h) be the second derivative of h**6/45 - 37*h**5/45 - 92*h**4/27 - 134*h**3/27 - 3*h**2 - 378*h + 4. Determine o so that s(o) = 0.
-1, -1/3, 27
Let g be (-15747)/(-73486)*(-64)/6*-2. Solve g*k**2 - 4/7*k**3 - 4*k + 0 = 0 for k.
0, 1, 7
Let b(m) = -5*m**2 - 150*m - 260. Let c(x) = -x - 1. Let j(r) = 19*r**3 + 2*r**2 - 2*r + 1. Let n be j(1). Let f(z) = n*c(z) - b(z). Solve f(d) = 0 for d.
-24, -2
Let o = 14/13 + -44/65. Let f be ((-14)/10)/(-10 + (-144)/32 - -11). Determine c, given that o*c**2 - f*c - 4/5 = 0.
-1, 2
Suppose 4*u = -4 - 0, 4*r - 10953 = -3*u. Find d, given that 4 + 11*d**2 - d + 2740*d**3 - r*d**3 - 15 = 0.
-11, -1, 1
Let z be (25/(-125))/((-2)/30). Determine y so that -18 - 11 + z*y - y**2 - 25*y + 2 + 10*y = 0.
-9, -3
Suppose -8*n + 6*n = -4. Determine b, given that -4 + 4 + 6*b + 6*b**2 - 3*b**n = 0.
-2, 0
Let r be ((-20)/12)/(-4 - 19/(-6)). Let -253*z**r + 18*z**3 + 134*z**2 + z**4 + 2*z**4 + 146*z**2 = 0. What is 