3 + 39*p**2 - 26*p - 10. Let z(a) = -a**5 - a**3 + 3*a**2 - a + 1. Let r(w) = v(w) + 10*z(w). Find h such that r(h) = 0.
-3, 0, 1, 4
Let i(w) be the third derivative of w**5/20 + 173*w**4/8 - 87*w**3 + 65*w**2 + 3*w - 2. Factor i(n).
3*(n - 1)*(n + 174)
Suppose i = -5*t - 18 + 33, -2*i + 16 = 3*t. Find a, given that -12*a + 21*a**4 + 2*a**2 + 11*a**i + 9*a**3 - 2*a**5 - 11*a**2 + 6*a = 0.
-1, 0, 2/3
Let x(b) be the third derivative of -1 - 125/24*b**4 - 4/3*b**7 + 3/8*b**6 - 3*b**2 + 5/2*b**3 + 53/12*b**5 + 5/21*b**8 + 0*b. Suppose x(k) = 0. Calculate k.
-1, 1/4, 1, 3
Suppose -94*a + 16*a = 28*a. Let q(k) be the second derivative of a - 4/21*k**3 - 1/21*k**6 + 0*k**2 + 13/70*k**5 - 18*k - 2/21*k**4. Let q(u) = 0. What is u?
-2/5, 0, 1, 2
Let p(x) be the third derivative of x**6/60 - 71*x**5/10 + 954*x**4 - 11236*x**3/3 + 9400*x**2. Factor p(f).
2*(f - 106)**2*(f - 1)
Let j(k) be the second derivative of 0*k**2 + 1/6*k**6 + 14*k - 1/4*k**5 + 5/6*k**3 - 1 - 5/12*k**4. Suppose j(i) = 0. What is i?
-1, 0, 1
Let j be (-2)/(-3)*18*77/(-44). Let a(b) = 8*b**2 + 159*b + 6882. Let t(h) = -h**2 + h + 1. Let w(q) = j*t(q) - 3*a(q). Determine z so that w(z) = 0.
-83
Let g(c) be the third derivative of c**7/1365 + 61*c**6/390 + 56*c**5/13 + 4075*c**4/78 + 13375*c**3/39 - 79*c**2 - 6*c. What is s in g(s) = 0?
-107, -5
Let x(r) be the second derivative of 7*r**2 + 0 - 2/3*r**3 + 1/42*r**4 - 106*r. Factor x(j).
2*(j - 7)**2/7
Let l(w) = w**2 - 11*w + 22. Let k be l(9). Let c(d) = 3*d + 55. Let j be c(-16). Determine x, given that 0*x**2 + 13*x - j*x + k*x**2 + 8 + 6*x = 0.
-2, -1
Let h be 45/(-18) - -2 - -9. Let o = 173/18 - h. Factor -20/9*d**3 + 20/9*d**2 - o*d - 2/9*d**5 + 2/9 + 10/9*d**4.
-2*(d - 1)**5/9
Let p(f) be the first derivative of 2*f**5/5 + 2*f**4 - 4*f**3 - 4*f**2 + 10*f - 2760. Suppose p(z) = 0. What is z?
-5, -1, 1
Find p such that -146/9*p - 2/9*p**2 - 16 = 0.
-72, -1
Let o(p) = -9*p**2 - 669*p + 1314. Let y(u) = 26*u**2 + 2011*u - 3956. Let v(l) = -17*o(l) - 6*y(l). Let v(a) = 0. Calculate a.
-233, 2
Let p(x) be the first derivative of -5*x**3/9 - 4180*x**2/3 - 3494480*x/3 + 4195. Factor p(y).
-5*(y + 836)**2/3
Let o(t) be the third derivative of t**5/120 + 25*t**4/12 - 101*t**3/12 + 1060*t**2. Factor o(a).
(a - 1)*(a + 101)/2
Let 4/3*c**2 + 361/3*c + 30 = 0. Calculate c.
-90, -1/4
Let j(k) = 2*k**4 + k**3 - 3*k**2 + 6. Let i(n) = n**3 + 1. Let a be -36*(-4)/40*-5. Let u = a + 24. Let p(f) = u*i(f) - j(f). Factor p(c).
-c**2*(c - 3)*(2*c + 1)
Suppose 57*h + 402 = 51*h. Let i = -61 - h. Factor 3*u**4 + 41*u**2 - 32*u**2 - 6*u**4 + i*u.
-3*u*(u - 2)*(u + 1)**2
Suppose -3*r - 4 = -25. Let c = r + -1. Factor -1 + 72*o**3 + 2*o**2 - 66*o**3 - c*o + 2*o**4 - 3.
2*(o - 1)*(o + 1)**2*(o + 2)
Let o(g) be the third derivative of 0*g - 23/30*g**6 + 48*g**2 + 0*g**3 - 4/3*g**5 - 2/15*g**7 - 2/3*g**4 + 0. What is q in o(q) = 0?
-2, -1, -2/7, 0
Let v(n) be the first derivative of -n**5/80 - 19*n**4/48 - 35*n**3/24 - 17*n**2/8 + 104*n + 1. Let u(d) be the first derivative of v(d). Factor u(z).
-(z + 1)**2*(z + 17)/4
Let v(x) be the third derivative of 5/2*x**3 - 12*x**2 + 0 + 0*x**4 + 1/60*x**5 + 1/360*x**6 + 0*x. Let w(c) be the first derivative of v(c). Factor w(h).
h*(h + 2)
Factor 0*y**2 + 0 + 1/2*y**4 + 19*y**3 + 0*y.
y**3*(y + 38)/2
Factor -7*y**2 + 3 + 5/7*y**3 + 95/7*y.
(y - 7)*(y - 3)*(5*y + 1)/7
Let k(a) be the first derivative of -484/5*a + 51 - 22/5*a**2 - 1/15*a**3. Factor k(o).
-(o + 22)**2/5
Let c be -3*2/(-5)*65/819. Factor c*m**5 + 40/7*m**2 + 92/21*m**3 + 0 + 8/7*m**4 + 50/21*m.
2*m*(m + 1)**2*(m + 5)**2/21
Let i(u) = -u**3 + 26*u**2 - 24*u - 25. Let k be i(25). Let s be (-4)/(-24)*10 + ((-52)/(-3))/13. Factor 6/5*p**s - 2/5*p - 4/5*p**2 + k.
2*p*(p - 1)*(3*p + 1)/5
Let r(p) be the first derivative of -p**5/4 + 29*p**4/12 - 13*p**3/2 - 9*p**2/2 - 61*p + 25. Let v(n) be the first derivative of r(n). Factor v(z).
-(z - 3)**2*(5*z + 1)
Suppose 5*x - 488 = 5*r - 6*r, -4*x - 1856 = -4*r. Suppose -2*q + v + 937 = 0, 4*v - v - 1869 = -4*q. Factor -4*g**4 - q*g**3 - 4 + 8*g**2 + r*g**3.
-4*(g - 1)**2*(g + 1)**2
Determine d, given that -185/3*d**4 - 910/3*d + 120 + 5/3*d**5 + 55*d**3 + 565/3*d**2 = 0.
-2, 1, 36
What is q in 7/5*q**2 + 786/5*q + 224/5 = 0?
-112, -2/7
Let t(p) = p**3 - 31*p**2 + 29*p + 36. Let w be t(30). Suppose -w*k + 74 = 50. Suppose 0 + 0*a**2 + 5/3*a**3 - 4/3*a + 0*a**k - 1/3*a**5 = 0. What is a?
-2, -1, 0, 1, 2
Solve -625 - 1/4*f**2 + 25*f = 0 for f.
50
Let h be 9/(-36)*-4 - 93/(-27). Solve 2/3*i**4 + 16/9 - h*i**3 + 26/3*i**2 - 20/3*i = 0 for i.
2/3, 1, 4
Let z = 343 - 342. Let s be 1680/270 + -7 + z. Factor -s*m**4 + 0*m**3 + 0 + 2/9*m**2 + 0*m.
-2*m**2*(m - 1)*(m + 1)/9
Let q = 123 + -139. Let c = -14 - q. Solve -43 - 16*l + 8*l**3 + 574*l**2 - 558*l**2 - l**5 + 11 - c*l**4 = 0.
-2, 2
Suppose 126 = 29*j - 19. Suppose 4*d + c - 1 = 0, j*c - 6*c + 1 = -3*d. Factor 0*y + 2/3*y**3 + 2/9*y**5 + d + 2/9*y**2 + 2/3*y**4.
2*y**2*(y + 1)**3/9
Let u = -1784/2745 - -41/61. Let p(t) be the first derivative of 0*t**3 - u*t**6 + 0*t + 0*t**5 - 4 + 1/15*t**4 - 1/15*t**2. Suppose p(i) = 0. Calculate i.
-1, 0, 1
Let u = 521 - 366. Factor -121 + 162 - 7*p + u + p**2 - 21*p.
(p - 14)**2
Let h(y) be the second derivative of 5*y**4/24 + 6545*y**3/3 + 8567405*y**2 + 374*y + 3. Factor h(x).
5*(x + 2618)**2/2
Let m(t) be the third derivative of -t**8/336 + t**7/90 + t**6/360 - 7*t**5/180 + t**4/36 - 61*t**2 - 2*t. Suppose m(v) = 0. What is v?
-1, 0, 1/3, 1, 2
Let t(b) be the third derivative of 1/16*b**6 + 0 + 0*b - 2/15*b**5 + 23/240*b**4 - 1/30*b**3 - 48*b**2. Suppose t(i) = 0. What is i?
1/5, 2/3
Let w(s) be the first derivative of s**5/360 - 17*s**4/36 + 289*s**3/9 + s**2/2 - 75*s + 1. Let q(c) be the second derivative of w(c). Factor q(i).
(i - 34)**2/6
Suppose -2024*p + 1982*p = -84. Suppose 1/2*j**p + 9/2 - 3*j = 0. What is j?
3
Let v = -499 - -545. Let o(n) = n - 7. Let i be o(10). Suppose 7*a**i + 5*a**2 + 49*a**4 + 4*a - v*a**4 - 3*a = 0. What is a?
-1, -1/3, 0
Let b(a) be the first derivative of a**3/4 - 3*a**2/2 - 15*a/4 - 1079. Find y such that b(y) = 0.
-1, 5
Let n = 280993 + -280991. Factor 2592/13 + 2/13*g**n - 144/13*g.
2*(g - 36)**2/13
Let y(s) = -2*s**3 - 207*s**2 + 13458*s - 300760. Let p(g) = -3*g**3 - 209*g**2 + 13455*g - 300759. Let f(o) = -3*p(o) + 4*y(o). What is b in f(b) = 0?
67
Let b(u) be the first derivative of u**3 + 5853*u**2/2 + 5850*u + 10730. Determine r so that b(r) = 0.
-1950, -1
Let g = -15258 + 15262. Let u(b) be the first derivative of 62*b**2 - 266/5*b**5 - 24*b + 43 - 10/3*b**3 - 49/6*b**6 - 375/4*b**g. Determine x so that u(x) = 0.
-3, -2, -1, 2/7
Let g(t) = t**3 - 21*t**2 - t + 24. Let j be g(21). Solve 43*u**4 - 29*u**3 - 2*u**3 + 39*u**2 - 53*u**j + 2*u = 0 for u.
-2/43, 0, 1
Let h be (-3 - -3) + -65*(-26)/338. Suppose 35*v**2 + 85/2*v - 5/2*v**h + 0*v**3 + 15 - 10*v**4 = 0. Calculate v.
-3, -1, 2
Let y be (81/6)/(9/24). Solve y*f - 18*f**2 - 2*f + 78*f**2 + 6 + 27*f**3 + 5*f = 0.
-1, -2/9
Let n be (66/110)/((-1)/(-8)). Let l = -16/5 + n. Factor 2/5*v**3 + 6/5*v**2 + 0 - l*v.
2*v*(v - 1)*(v + 4)/5
Let y(j) = 39*j**2 + 92 - 37*j - 71*j**2 + 27*j**2. Let c(i) = 36*i**2 + 258*i - 645. Let u(s) = -2*c(s) - 15*y(s). Factor u(g).
3*(g - 2)*(g + 15)
Let g(t) be the first derivative of 3*t**4/28 - 36*t**3/7 - 1152*t**2/7 - 9984*t/7 - 59. Factor g(j).
3*(j - 52)*(j + 8)**2/7
Let o(w) be the third derivative of -151*w**7/70 + 38*w**6/5 - w**5/5 + 8163*w**2. Factor o(g).
-3*g**2*(g - 2)*(151*g - 2)
Let l = 162 + -262. Let z be (4/(-60)*6)/(8/l). Find f such that 1/3*f**3 - 3 + z*f - 7/3*f**2 = 0.
1, 3
Find c, given that -2/5*c**5 - 44/5*c**2 - 48/5*c**3 - 4*c**4 + 0 - 14/5*c = 0.
-7, -1, 0
Let m(t) be the second derivative of 1/30*t**6 + 11/20*t**5 + 2*t - 4/3*t**4 - 160/3*t**3 - 209 + 0*t**2. Factor m(q).
q*(q - 5)*(q + 8)**2
Let l = -5957/10 + 1195/2. Find d, given that 3/5*d**4 + l*d**3 - 48/5*d**2 + 0 + 36/5*d = 0.
-6, 0, 1, 2
Let q(i) be the first derivative of 1/4*i**5 + 5/6*i**3 + 6 + 5/6*i**4 + 26*i + 0*i**2. Let y(s) be the first derivative of q(s). Determine t so that y(t) = 0.
-1, 0
Let k = -1/833 - -4169/3332. Let z(r) be the third derivative of -3/8*r**4 + k*r**3 + 0 - 9*r**2 + 1/40*r**5 + 0*r.