t**4 + 22*t + 2*t**3 + 21*t**3 - 11*t**3 - 4 - 28*t**2. Let p(z) = -z**5 - 1. Let k(y) = 2*p(y) + r(y). Find x, given that k(x) = 0.
-3, 1
Let a(d) = d**2 + 18*d + 82. Let o be a(-10). Let c(f) be the first derivative of 2/9*f**3 + 11 - 1/6*f**4 - 8/3*f + 4/3*f**o. Factor c(r).
-2*(r - 2)*(r - 1)*(r + 2)/3
Let q(j) be the third derivative of -5*j - 5*j**2 + 1/270*j**6 - 4/9*j**3 - 7/135*j**5 + 0 - 13/54*j**4 + 2/945*j**7. Find v, given that q(v) = 0.
-2, -1, 3
Let f(d) = 561*d + 2286. Let w be f(-4). Let l(p) be the second derivative of 1/2*p**3 + w*p + 3/20*p**5 + 0*p**2 + 0 - 1/2*p**4. Determine i so that l(i) = 0.
0, 1
Factor -30/11*q**4 + 0*q - 42/11*q**2 + 0 - 216/11*q**3.
-6*q**2*(q + 7)*(5*q + 1)/11
Let l(q) be the first derivative of 55*q**6/6 + 244*q**5 + 1375*q**4 - 4960*q**3 - 1440*q**2 - 1193. Find m, given that l(m) = 0.
-12, -2/11, 0, 2
Let b(j) = 18*j**2 + 39*j - 21. Let z be b(-8). Let c be 40/21 + 78/z. What is u in 1/3*u**c + 1/3 + 2/3*u = 0?
-1
Let w(p) be the first derivative of 21/2*p**2 + 30*p - 4*p**3 - 48 - 3/4*p**4. Factor w(a).
-3*(a - 2)*(a + 1)*(a + 5)
Let p(r) be the first derivative of 95 + 8/3*r - 1/6*r**4 + 4/3*r**2 - 2/9*r**3. Factor p(v).
-2*(v - 2)*(v + 1)*(v + 2)/3
Let h(p) be the first derivative of -p**4/6 - 5*p**3/3 - 4*p**2 + 104*p + 22. Let v(o) be the first derivative of h(o). Factor v(x).
-2*(x + 1)*(x + 4)
Let i(t) be the third derivative of -16129*t**5/210 + 381*t**4/7 - 108*t**3/7 - 818*t**2. Factor i(r).
-2*(127*r - 18)**2/7
Let i = -10402 + 10402. Let w(q) be the second derivative of 7*q**2 + i - 8/3*q**3 + 11*q + 1/6*q**4. Factor w(b).
2*(b - 7)*(b - 1)
Let v = -3 - -13. Suppose -v*b + 15*b - 15 = 0. Factor r**2 + r + 2*r - 5*r + b*r.
r*(r + 1)
Let v(x) be the third derivative of x**7/504 + x**6/48 + x**5/12 + 9*x**4/4 + 21*x**2. Let m(p) be the second derivative of v(p). Find z, given that m(z) = 0.
-2, -1
Let l(p) be the third derivative of 11*p**8/13440 - p**7/280 + p**5/60 - 4*p**2 - 4*p. Let z(k) be the third derivative of l(k). Solve z(m) = 0 for m.
0, 12/11
Let h(c) be the first derivative of 3*c**5 + 27*c**4 + 62*c**3 + 54*c**2 + 15*c - 3977. Let h(b) = 0. Calculate b.
-5, -1, -1/5
Let k(o) be the second derivative of o**5/90 - 199*o**4/54 - 401*o**3/27 - 67*o**2/3 - 2428*o. Factor k(w).
2*(w - 201)*(w + 1)**2/9
Let w = -47314 - -331236/7. Suppose -18/7*u**3 + 10/7*u**4 + 12/7 - 2/7*u + 4/7*u**5 - w*u**2 = 0. What is u?
-3, -1, 1/2, 2
Suppose 46 = 246*z - 245*z. Let k be 8/20 - z/(-10). Factor 16/7*w**3 - 32/7*w - 32/7*w**2 + 4/7*w**4 + 64/7 - 2/7*w**k.
-2*(w - 2)**3*(w + 2)**2/7
Suppose -14/3*m**5 - 6*m**4 - 8/3 + 38/3*m**3 + 26/3*m**2 - 8*m = 0. Calculate m.
-2, -1, -2/7, 1
Let i(s) = 2*s**3 - s**2. Let k be 2 + 2/(-2) + 0. Let a(q) = -4*q**4 - 8*q**3 + 22*q**2 + 32*q. Let h(n) = k*a(n) - 2*i(n). Factor h(c).
-4*c*(c - 2)*(c + 1)*(c + 4)
Suppose -3/4*g**2 + 21/8*g**3 + 9 - 3/8*g**4 - 21/2*g = 0. What is g?
-2, 1, 2, 6
Determine d so that 49*d**4 - 481*d**3 - 42 - 23*d**5 - 1570*d + 14*d**5 + 634 + 8*d**5 + 1411*d**2 = 0.
1, 2, 8, 37
Let y(d) be the third derivative of -2*d**2 + 1/480*d**6 - 1/240*d**5 + 10*d - 1/48*d**4 + 0 + 0*d**3. Suppose y(l) = 0. Calculate l.
-1, 0, 2
Let o(i) be the third derivative of i**8/1344 - 19*i**7/840 + 19*i**6/120 - i**5/3 - 2*i**4/3 + 14*i**3/3 - i**2 - 319*i. Factor o(s).
(s - 14)*(s - 2)**3*(s + 1)/4
Suppose 30*z = -18*z. Let d(k) be the third derivative of -k**3 + 0 + z*k + 0*k**4 + 3/40*k**5 + 1/80*k**6 - 23*k**2. Factor d(f).
3*(f - 1)*(f + 2)**2/2
Let d(v) be the first derivative of v**6/9 + 12*v**5/5 + 61*v**4/6 - 40*v**3 + 100*v**2/3 - 725. Find s, given that d(s) = 0.
-10, 0, 1
Let n(y) = -7979*y**3 - 43567*y**2 - 79186*y - 48014. Let d(p) = 3990*p**3 + 21783*p**2 + 39594*p + 24006. Let f(i) = -7*d(i) - 3*n(i). Factor f(m).
-3*(11*m + 20)**3
Let u(k) be the second derivative of -k**7/840 + k**6/360 + k**5/60 - 2*k**3/3 - k**2/2 - 72*k. Let i(d) be the second derivative of u(d). Factor i(h).
-h*(h - 2)*(h + 1)
Let u = 71 - 36. Let z = -28 + u. Determine d, given that -12*d + 12*d**4 + z*d**3 + 3*d**3 + 8*d**3 + 12*d**2 + 10*d**3 - 8 = 0.
-1, 2/3
Let t be (-1935)/(-279) - 7 - 16/(-62)*8. Factor 4*g**t + 4/3 + 4/3*g**3 + 4*g.
4*(g + 1)**3/3
Let n(c) be the second derivative of c**4/3 + 1162*c**3/3 + 91*c - 25. Let n(m) = 0. Calculate m.
-581, 0
Let k(r) be the second derivative of -r**4/66 - 38*r**3/33 - 136*r**2/11 - 14*r - 12. Factor k(x).
-2*(x + 4)*(x + 34)/11
Let d(b) be the first derivative of 63/2*b**2 - 9 + 49/6*b + 673/18*b**3 - 9*b**4 + 8/15*b**5. Factor d(k).
(k - 7)**2*(4*k + 1)**2/6
Let i(r) = r**3 - 14*r**2 + 3. Let n be i(14). Let q be 7 + ((-336)/35 - 6 - -9). Solve 2*k - 8/5*k**2 - q*k**n + 0 = 0 for k.
-5, 0, 1
Suppose -2*r - 3*r + 12 = 2*b, 4*b = 2*r. Let y(a) be the first derivative of 5 + 10*a**3 + 5/4*a**4 + 55/2*a**r + 30*a. What is f in y(f) = 0?
-3, -2, -1
Solve 50/13*q**5 + 120*q**4 - 5144/13*q**2 + 0 + 5478/13*q**3 + 1080/13*q = 0.
-27, -5, 0, 2/5
Let r(n) be the first derivative of 3/5*n**5 + 98 - n**3 - 3/4*n**4 + 3/2*n**2 + 0*n. Factor r(c).
3*c*(c - 1)**2*(c + 1)
Let h(x) be the second derivative of 1/84*x**7 - 1/10*x**5 + 1/6*x**4 + 1 - 1/60*x**6 + 0*x**3 + 26*x + 0*x**2. Solve h(s) = 0.
-2, 0, 1, 2
Let m = 18 + -21. Let z be 72/(-32)*4/m. Find h, given that -118*h**2 - 2*h**4 - 30*h**z - 180*h - 108 + 15*h**2 - 8*h**2 - h**4 = 0.
-3, -2
Let z(r) = -43*r**2 - 959*r - 165. Let b(v) = 64*v**2 + 1438*v + 241. Let n(g) = -5*b(g) - 7*z(g). What is h in n(h) = 0?
-25, -2/19
Let 5*t**3 + 1087 - 158*t**2 + 0*t**2 - 20*t - 167 - 72*t**2 = 0. What is t?
-2, 2, 46
Let z be 0 + -15 + (-6 - -15). Let s be 27/54 + (-9)/z. Factor -1/3*c**s + 2/3 + 1/3*c.
-(c - 2)*(c + 1)/3
Let p = 455 + -302. Determine i, given that -6*i**2 + 26*i**3 + 75*i**4 + 58*i**3 + 12*i - 69 + 54*i**3 + 3*i**5 - p*i = 0.
-23, -1, 1
Let w(r) be the second derivative of r**7/42 - r**6/8 - 29*r**2/2 - 19*r. Let n(x) be the first derivative of w(x). Factor n(u).
5*u**3*(u - 3)
Let a = 456 + -453. Determine g, given that -17777*g - 11 - 3*g**5 - 42*g**2 + 17837*g - 13 - 3*g**a + 12*g**4 = 0.
-2, 1, 2
Suppose 0 = 2*a - 4. Suppose a*d = -46 + 52. Factor 1/3*w**4 + 4*w - 2/3*w**2 - 4/3*w**d + 3.
(w - 3)**2*(w + 1)**2/3
Suppose -6*y + 7 = -7*y. Let c be (-20)/y - (-3)/21. Factor 36*u + c*u**2 - 6*u**2 - 92 - 16.
-3*(u - 6)**2
Suppose -4/3*s**4 - 52/3*s**3 + 460/9*s**2 + 4/9*s**5 + 0 + 200/3*s = 0. Calculate s.
-6, -1, 0, 5
Let q(z) be the second derivative of z**6/20 + 213*z**5/8 + 21063*z**4/4 + 421201*z**3 + 1232274*z**2 - 4493*z. Factor q(l).
3*(l + 1)*(l + 118)**3/2
Suppose 0 = 24*q - 2*q. Suppose 2*y + 4*r = 22, 5*y + r - 10 - 9 = q. Factor -4/5 + 0*h + 3/5*h**2 - 1/5*h**y.
-(h - 2)**2*(h + 1)/5
Let j(o) be the first derivative of -9*o + 1/18*o**4 - 4/3*o**2 + 3 + 1/3*o**3. Let u(a) be the first derivative of j(a). Suppose u(n) = 0. Calculate n.
-4, 1
Let u = 42 + -37. Suppose -5*z = 0, -u*h - 6*z + 4*z = -20. Solve -12*b**2 + 21*b**5 + 2 - 48*b**3 - 2 + 151*b**h - 166*b**4 = 0 for b.
-1, -2/7, 0, 2
Let 12*d + 2/9*d**2 + 0 = 0. What is d?
-54, 0
Suppose 3*p + 0*m = 5*m + 21, p = 3*m + 11. Factor -13/3*r**p + 1/3*r**3 + 49/3 + 35/3*r.
(r - 7)**2*(r + 1)/3
Let i be (40 + -42)/(9 + (-12 - -2)). What is l in 9/2 - 15/4*l - 7/4*l**i + 1/4*l**4 + 3/4*l**3 = 0?
-3, 1, 2
Factor 556/3 + 2/3*h**2 + 186*h.
2*(h + 1)*(h + 278)/3
Suppose 2*q + 5*c - 2209 = 0, 2*q - 3*c = 574 + 1595. Factor -16*f**2 - 5*f**3 - q*f**4 + 12*f - 7*f**3 + 1108*f**4.
4*f*(f - 1)*(f + 1)*(4*f - 3)
Let f(v) be the second derivative of v**4/4 + 207*v**3/2 - 312*v**2 + v - 253. Find y, given that f(y) = 0.
-208, 1
Let w(j) be the first derivative of j**3/2 + 3*j**2/8 + 546. Find s such that w(s) = 0.
-1/2, 0
Suppose 2695 - 535 = 15*m. Factor -m + 5*d**2 + 21*d + 104 + 14*d.
5*(d - 1)*(d + 8)
Let c be ((-4)/44)/((-1427)/31394). Factor 16/7*f - 2/7*f**2 - c.
-2*(f - 7)*(f - 1)/7
Suppose -12*j + 258 = 125*j - 8*j. Factor -1/8*m**j + 1/4*m + 0.
-m*(m - 2)/8
Let n(p) be the first derivative of -2/45*p**5 - 320/9*p**2 - 88/9*p**3 - 10/9*p**4 - 512/9*p + 41. Factor n(f).
-2*(f + 2)**2*(f + 8)**2/9
Let m(o) = -o**2 + 6*o - 3. Let t be m(5). Let d = -30 - -36. Solve -9*v + 6 + d*v + 2*v**2 - 5*v + 0*v**t