2*(v - 5)*(v + 1)**2
Factor -2/7*y**3 + 108/7*y + 2/7*y**2 - 288/7.
-2*(y - 6)*(y - 3)*(y + 8)/7
Let i(v) be the first derivative of v**5/15 - 223*v**4/12 + 11860*v**3/9 + 10678*v**2 + 17328*v - 5421. Find c such that i(c) = 0.
-4, -1, 114
Suppose -408 = 107*b - 113*b. Find h such that 40*h - 4*h**4 - 24 - 31*h - b*h**2 + 28*h**3 + 59*h = 0.
1, 2, 3
Let o = 8372 - 8362. Let f(h) be the first derivative of -9 - o*h**2 + 20*h + 5/3*h**3. Let f(x) = 0. Calculate x.
2
Solve -582/7*l**2 + 576/7*l + 146/7*l**3 + 8/7 = 0 for l.
-1/73, 2
Let f(l) be the third derivative of -l**8/420 + 2*l**7/15 - 323*l**6/150 + 289*l**5/75 + 208*l**2 + 2. Find o such that f(o) = 0.
0, 1, 17
Let v(i) be the third derivative of i**7/735 - 23*i**6/35 + 55*i**5/42 - 288*i**2 + 3. Suppose v(b) = 0. Calculate b.
0, 1, 275
Let s(y) be the first derivative of -21/2*y - 39/2*y**2 - 15/2*y**3 - 120. Factor s(m).
-3*(3*m + 1)*(5*m + 7)/2
Let -40*o**3 - 19 + 218*o**2 + 172*o + 8*o**4 + 58 - 26 - 93 - 14*o**4 = 0. What is o?
-10, -1, 1/3, 4
Let d(o) = o**3 + 33*o**2 - 3*o - 68. Let t be d(-33). Determine h so that 54*h + 151*h - t*h - 171 + h**2 - 4*h**2 = 0.
1, 57
Let j(x) be the second derivative of 9/160*x**5 + 65/16*x**3 + 75/16*x**2 + 0 - 29/32*x**4 - 2*x. Factor j(i).
3*(i - 5)**2*(3*i + 1)/8
Suppose 2*l + 204 - 172 = 0, -5*v = -5*l - 220. Factor -76*i**3 + 220/3*i**2 - 4/3*i**5 - 24*i + 0 + v*i**4.
-4*i*(i - 18)*(i - 1)**3/3
Let k = 137187/11 + -12471. Let s(c) be the first derivative of 2/33*c**3 - k*c - 2/11*c**2 + 17. Factor s(h).
2*(h - 3)*(h + 1)/11
Determine v, given that 1392*v**2 - 140*v - 110*v**3 + 670*v**3 - 3610*v**2 - 1127*v**2 + 300 = 0.
-5/16, 2/7, 6
Let k(y) be the third derivative of -y**10/201600 + 11*y**9/161280 + y**8/8960 - 17*y**5/5 - 184*y**2. Let n(w) be the third derivative of k(w). Factor n(c).
-3*c**2*(c - 6)*(2*c + 1)/8
Let b(v) = -2*v**2 - 2*v. Suppose 33*j - 29*j - 48 = 0. Let d(h) = -3*h - 4*h + 5*h**2 + j*h. Let t(f) = -14*b(f) - 6*d(f). Find u such that t(u) = 0.
-1, 0
Factor 1368/11*x**2 - 6/11*x**4 - 1392/11*x - 324/11*x**3 + 0.
-6*x*(x - 2)**2*(x + 58)/11
Let u(j) be the first derivative of 4*j**3/27 - 86*j**2/9 + 56*j/3 - 263. Solve u(y) = 0 for y.
1, 42
Let a(u) = -3*u**5 + 63*u**4 - 222*u**3 - 6*u. Let l(z) = 6*z**5 - 125*z**4 + 443*z**3 + 13*z. Let v(h) = 13*a(h) + 6*l(h). Factor v(c).
-3*c**3*(c - 19)*(c - 4)
Let n(j) be the second derivative of j**5/28 + 3*j**4/28 - 1602*j. Solve n(x) = 0.
-9/5, 0
Let c = 5731 + -5731. Let t(m) be the third derivative of 0*m + c + 1/200*m**6 + 0*m**3 + 12*m**2 - 3/40*m**4 + 1/50*m**5. Factor t(u).
3*u*(u - 1)*(u + 3)/5
Let q(v) be the second derivative of -32 + 1/110*v**5 - 7/66*v**4 + 4*v - 9/11*v**2 - 17/33*v**3. Factor q(r).
2*(r - 9)*(r + 1)**2/11
Let n(d) be the first derivative of d**5/40 + 9*d**4/8 + 2*d**2 - 3*d + 40. Let o(g) be the second derivative of n(g). Factor o(p).
3*p*(p + 18)/2
Let n = -171 - -211. What is c in 0*c + 15*c**3 + 42*c + 38*c - 190*c**2 + n*c = 0?
0, 2/3, 12
Solve 82 + 2/3*h**2 + 88/3*h = 0.
-41, -3
Let -1152/7 - 36/7*s**4 + 1048/7*s**2 - 2176/7*s + 236/7*s**3 = 0. What is s?
-4, -4/9, 2, 9
Let b = 303 - 299. Suppose 3*p - 10 = -2*l, -b*l + 20 = 16*p - 21*p. Determine v, given that p + 6/11*v + 6/11*v**3 - 12/11*v**2 = 0.
0, 1
Suppose 0 = -278*p + 1644 - 254. Let l(z) be the third derivative of -19/50*z**p - 7/100*z**6 + 0*z + 0 + 4/5*z**3 + 13*z**2 - 2/5*z**4. Factor l(i).
-6*(i + 1)*(i + 2)*(7*i - 2)/5
Let 2/7*n**5 + 36 + 12/7*n**4 - 180/7*n**3 + 568/7*n**2 - 654/7*n = 0. What is n?
-14, 1, 3
Let d(u) be the third derivative of -u**7/1470 + 53*u**6/140 - 9603*u**5/140 + 3339*u**4 - 74088*u**3 - 2*u**2 - u - 106. Factor d(p).
-(p - 147)**2*(p - 12)**2/7
Suppose 18*u - 4*r + 4 = 0, -3*r - 715 = -4*u - 718. Factor -1/7*y**3 + u + 9/7*y**2 + 22/7*y.
-y*(y - 11)*(y + 2)/7
Let k(l) be the first derivative of l**4 + 56*l**3/3 + 58*l**2 - 176*l - 936. Find h, given that k(h) = 0.
-11, -4, 1
Let m(j) be the second derivative of 1/130*j**5 - 1 + 10/13*j**2 - 5/39*j**4 - 34*j - 1/39*j**3. Factor m(o).
2*(o - 10)*(o - 1)*(o + 1)/13
Factor 39/4*n**3 + 0 + 0*n - 9/2*n**4 - 1/4*n**5 - 5*n**2.
-n**2*(n - 1)**2*(n + 20)/4
Let y(a) be the third derivative of a**7/1260 - a**6/120 - a**5/15 + 43*a**4/24 - a**3/6 - 8*a**2. Let q(t) be the second derivative of y(t). Factor q(m).
2*(m - 4)*(m + 1)
Let x(g) = -g**3 - 250*g**2 - 244*g + 495. Let r(j) = -j**3 - 250*j**2 - 245*j + 496. Let o(v) = 3*r(v) - 2*x(v). Find f such that o(f) = 0.
-249, -2, 1
Let s = -96 - 184. Let t = 282 + s. Factor -3/7*i**4 - 6/7*i**3 + 0*i + 0*i**t + 3/7*i**5 + 0.
3*i**3*(i - 2)*(i + 1)/7
Let i(x) be the third derivative of -1/3*x**3 + 45*x**2 + 0 + 1/240*x**6 + 1/140*x**7 + 0*x - 11/120*x**5 + 1/4*x**4 - 1/672*x**8. Factor i(j).
-(j - 2)*(j - 1)**3*(j + 2)/2
Let w(y) = -27*y**3 + 78*y**2 + 405*y + 36. Let z(l) = 11*l**3 - 31*l**2 - 162*l - 15. Let b(i) = -5*w(i) - 12*z(i). Suppose b(f) = 0. What is f?
-3, 0, 9
Let g(o) be the third derivative of 0 - 4*o**2 + 5/4*o**4 + 4*o + 11/2*o**3 - 1/20*o**5. Let g(h) = 0. Calculate h.
-1, 11
Let l(d) = -19*d + 119. Let q = -702 + 708. Let y be l(q). Determine b, given that 0*b + 0 - 2/7*b**y - 6/7*b**4 + 0*b**3 + 0*b**2 = 0.
-3, 0
Let v(g) = -506*g**2 - 2355*g + 160. Let n(w) = -810*w**2 - 3768*w + 255. Let s(t) = 13*n(t) - 21*v(t). Factor s(b).
3*(b + 5)*(32*b - 3)
Let p(b) be the first derivative of 12/5*b**3 + 1/2*b**4 + 27/5*b - 132 + 27/5*b**2 + 1/25*b**5. Solve p(s) = 0 for s.
-3, -1
Let a(q) be the first derivative of -q**6/27 + 28*q**5/15 - 173*q**4/9 - 32*q**3 + 347*q**2/9 + 260*q/3 - 7637. Solve a(k) = 0.
-1, 1, 13, 30
Let o(u) = 51*u**4 - 51*u**3 - 66*u**2 - 12*u. Let p(w) = -4*w**4 + w**2 + w. Let b(r) = -o(r) - 12*p(r). Factor b(k).
-3*k**2*(k - 18)*(k + 1)
Find d such that 49*d**2 - 442*d**3 - 443*d**3 + 889*d**3 + 40*d - 5*d**2 = 0.
-10, -1, 0
Let x be 2 + -4 + 16 + -7. Suppose 15 = -2*k + x*k. Let r**3 + k*r**4 + 4*r - 5*r**3 - 4*r**2 + r**4 = 0. What is r?
-1, 0, 1
Let y be 15 + -8 + -6 - -30. Factor 15 - 66 - 4*k**2 + y - 24*k.
-4*(k + 1)*(k + 5)
Suppose -4*m = -d - 12, -18*d + 4*m - 60 = -23*d. Let z(j) = j**3 - 5*j**2 - 21*j - 16. Let f be z(d). Factor 2/9*v**2 - 8/3*v + f.
2*(v - 6)**2/9
Let l(z) be the first derivative of -z**3/9 - 7*z**2/2 - 104*z/3 - 892. Solve l(w) = 0 for w.
-13, -8
Let s(a) be the first derivative of a**8/560 - a**7/70 - a**6/120 + a**5/10 + 80*a**3/3 + 91. Let u(i) be the third derivative of s(i). What is h in u(h) = 0?
-1, 0, 1, 4
Let h(l) be the first derivative of l**5 + 5/2*l**2 + 7 + 10*l - 25/6*l**3 - 5/24*l**6 - 5/16*l**4. Let h(f) = 0. What is f?
-1, 2
Factor -798*d**2 + 1590 - 776*d**3 + 786*d + 391*d**3 + 3*d + 388*d**3.
3*(d - 265)*(d - 2)*(d + 1)
Let m(v) be the second derivative of -v**4/102 - 47*v**3/17 + 286*v**2/17 - 5*v + 196. Find a such that m(a) = 0.
-143, 2
Let w(c) = -48*c**3 - 162*c**2 + 918*c - 763. Let o(p) = -76*p**3 - 244*p**2 + 1376*p - 1144. Let k(f) = 5*o(f) - 8*w(f). Suppose k(h) = 0. What is h?
-24, 1, 4
Let x = 16931/10 + -1693. Let b(n) be the first derivative of 0*n**5 + 0*n**3 + 1/10*n**2 + 0*n + 1/30*n**6 - x*n**4 - 9. Find z such that b(z) = 0.
-1, 0, 1
Let k = -9/7462 + 115137/7462. Factor -36/7*s + k + 3/7*s**2.
3*(s - 6)**2/7
Suppose -424536/11 - 6/11*h**4 - 9726/11*h**2 + 36*h**3 + 9576*h = 0. Calculate h.
14, 19
Let c(a) be the third derivative of -8*a**7/189 + 463*a**6/270 - 512*a**5/135 + 22*a**4/9 - 163*a**2 + 5*a. What is d in c(d) = 0?
0, 2/5, 3/4, 22
Let c(f) be the third derivative of -f**5/180 + 157*f**4/72 + 723*f**2. Factor c(n).
-n*(n - 157)/3
Let x(z) = -254*z**3 + 30306*z**2 + 2540*z. Let c(t) = 51*t**3 - 6059*t**2 - 508*t. Let g(a) = 14*c(a) + 3*x(a). Find m such that g(m) = 0.
-1/12, 0, 127
Let v(l) be the second derivative of 0*l**2 + 2/3*l**6 - 16*l - 5/3*l**4 + 1/2*l**5 - 5/2*l**3 + 5/42*l**7 - 3. Solve v(k) = 0 for k.
-3, -1, 0, 1
Suppose -4*n + n = -45. Suppose -n*x - 61 - 29 = 0. Let d(q) = -5*q**2 - 4*q + 1. Let i(v) = v**2 + v. Let s(f) = x*i(f) - d(f). Suppose s(r) = 0. What is r?
-1
Suppose -14*i = 113 - 393. Factor -8*g - g**2 + 0*g + 48 - i*g + 3*g**2.
2*(g - 12)*(g - 2)
Let z(a) be the first derivative of 3*a**4/4 + 87*a**3 - 135*a**2 - 528*a - 1768. Let