2 - 35*i + 2. Let t be f(35). Let 2*h**4 + 4*h**3 - t*h**3 + 4*h**4 + h**4 + 4*h**5 - h**2 = 0. Calculate h.
-1, 0, 1/4
Let d(c) be the second derivative of -c**5/28 - c**4/56 + 75*c**2/2 + 19*c. Let o(f) be the first derivative of d(f). Find b such that o(b) = 0.
-1/5, 0
Let x(i) be the third derivative of 3*i**2 + 1/15*i**5 - 5/6*i**4 + 0 + 8/3*i**3 + 3*i. Factor x(k).
4*(k - 4)*(k - 1)
Suppose -153*j + 151*j = 8. Let l(o) = 31*o + 126. Let y be l(j). Determine w, given that 1/4*w + 0 + 1/8*w**y = 0.
-2, 0
Let k(d) be the second derivative of -7/60*d**6 - 1/3*d**4 + 1/84*d**7 - 6*d + 3 + 0*d**2 + 0*d**3 + 7/20*d**5. Factor k(c).
c**2*(c - 4)*(c - 2)*(c - 1)/2
Let k be 14/28*1*0. Let n(f) be the first derivative of 17 + k*f - 1/6*f**3 - 9/10*f**5 + 3/4*f**4 + 1/3*f**6 + 0*f**2. Factor n(s).
s**2*(s - 1)**2*(4*s - 1)/2
Let p(k) = -4*k**2 + 1744*k - 2013. Let w(c) = c**2 - 442*c + 504. Let r(b) = 6*p(b) + 26*w(b). Factor r(s).
2*(s - 513)*(s - 1)
Let z be (11/(-44))/((9/12)/3). Let g be (-19)/(-190) - z/(-10). Factor -2/13*y**2 + g + 2/13*y.
-2*y*(y - 1)/13
Let j be (-94 - (-6 - 88))*1/(-14). Solve 8/3*b + 2*b**3 - 2/3*b**5 + 4/3*b**4 + j - 16/3*b**2 = 0.
-2, 0, 1, 2
Let x(y) = 12*y**2 + 647*y - 52. Let c be x(-54). Let p(v) be the second derivative of -1/10*v**5 - 17*v + 0 - 2/3*v**4 + 0*v**3 + 0*v**c. Factor p(o).
-2*o**2*(o + 4)
Let h be (-62)/155 - (-4)/10. Solve n**3 + h*n**4 + n**4 + 0*n**3 - 8*n**2 - 3*n**3 = 0 for n.
-2, 0, 4
Let g(b) be the second derivative of b**4/7 - 185*b**3/21 + 150*b**2/7 + 3764*b. Solve g(s) = 0.
5/6, 30
Let f be 301/3 - (4 + 70/(-15)). Let p = 117 - f. Factor -15*b**3 - 7*b**3 - 3*b**5 - 9*b**4 + p*b**3.
-3*b**3*(b + 1)*(b + 2)
Let d(o) be the third derivative of -o**5/15 + 2*o**4/3 + 14*o**3 + 447*o**2. Find t such that d(t) = 0.
-3, 7
Let u(p) = -5*p**2 + 148*p - 147. Let a = 265 + -263. Let l(m) = -110*m**2 + 3255*m - 3235. Let t(i) = a*l(i) - 45*u(i). Suppose t(d) = 0. What is d?
1, 29
Let 1182*q + 3/5*q**2 + 582135 = 0. Calculate q.
-985
Suppose -3*q = -4*d + 28, -2*q = q + 3*d. Let y be 0 + -1 + 7 + q. What is i in -3*i + 2 + 11*i + 1 - 7 - 4*i**y = 0?
1
Suppose -4*v - 2*b = -1742, -4*b - 2179 = -5*v - 7*b. Let f = -1733/4 + v. Factor 3/2*w + f*w**3 - 9/4*w**2 + 0.
3*w*(w - 2)*(w - 1)/4
Let o(d) be the second derivative of -10/3*d**4 + 0 + 85/6*d**3 - 25*d**2 - 12*d + 1/4*d**5. Find v, given that o(v) = 0.
1, 2, 5
Suppose -u + 15 = 4*u, 6 = 4*h - 2*u. Suppose -3*a + 9 = 2*a + h*f, -3 = -f. What is b in 2/5*b + a + 6/5*b**3 + 8/5*b**2 = 0?
-1, -1/3, 0
Let z(b) be the third derivative of 2/3*b**3 + 29/270*b**5 + 13/36*b**4 + 0*b + 1/60*b**6 + 1/945*b**7 + 0 + 158*b**2. Determine m so that z(m) = 0.
-3, -2, -1
Let t be (-636)/(-4452)*(-8)/(-2). Factor 0*w + 8/7*w**3 + 0 - 12/7*w**4 + t*w**5 + 0*w**2.
4*w**3*(w - 2)*(w - 1)/7
Let q(r) = -r**2 - r**2 - 1 + 9 - 9*r - 12*r. Let t(a) = a**2 + a. Suppose -26*v - 540 = 10*v. Let s(n) = v*t(n) + 3*q(n). Suppose s(u) = 0. Calculate u.
-4, 2/7
Let m(c) = -6*c**5 + 8*c**4 - 50*c**3 + c**2 + 65*c. Let g(u) = u**5 + 2*u**4 + u**3 - u**2 - u. Let q(r) = -5*g(r) - m(r). Find s such that q(s) = 0.
-1, 0, 2, 15
Let v(p) be the third derivative of p**6/600 + 13*p**5/150 - 9*p**4/40 + 780*p**2. Suppose v(h) = 0. Calculate h.
-27, 0, 1
Suppose o = -6*o - 7. Let x be o/(-2) + 27/18. Let 0 + 8*f**2 - 20*f - 3*f**x + 26 - 6 = 0. What is f?
2
Let n(m) be the second derivative of -m**8/4480 + m**6/40 - m**5/5 - 4*m**4 - 49*m + 2. Let c(k) be the third derivative of n(k). Let c(h) = 0. What is h?
-4, 2
Let k = -451 - -470. Factor -4*x**3 - 8*x**2 + 19 - k - 9*x**2 + x**2.
-4*x**2*(x + 4)
Let w be (-2356)/(-266) - ((-12)/14 + (-4)/(-2)). Determine b so that -264/7*b**3 + 0 - 72/7*b**4 + w*b**5 + 384/7*b + 192/7*b**2 = 0.
-4/3, 0, 2
Let p(c) be the first derivative of -c**4/26 - 3580*c**3/39 - 801025*c**2/13 + 7063. Factor p(f).
-2*f*(f + 895)**2/13
Suppose -3*q = -8*q - 760. Let b = -124 - q. Find a, given that 28 + 2*a**2 - b - 14*a = 0.
0, 7
Solve 184 - 6*f**2 + 272*f + 90*f + 68 + 12*f = 0.
-2/3, 63
Let v = 917 - 920. Let f be (3 + -7)/(v*22/24). Find l such that 24/11*l + 2/11*l**3 + 12/11*l**2 + f = 0.
-2
Let g = 14 + -16. Let h be g*(15/(-6))/5. Determine f so that -2 - 12 + h + 3 - 15*f + 5*f**3 = 0.
-1, 2
Let 2*u**3 - 416/7*u - 260/7*u**2 + 320/7 = 0. What is u?
-2, 4/7, 20
Factor 24*j**3 + 0 + 400/9*j**2 + 2/9*j**5 + 44/9*j**4 + 256/9*j.
2*j*(j + 2)**3*(j + 16)/9
Let o = -47335/28 + 1691. Let u = 3/28 + o. Determine n, given that -1/7*n + 3/7*n**3 + 2/7 - u*n**2 = 0.
-2/3, 1
Let f(i) = 2*i**3 - i**2 - 2*i + 1. Let s(p) = -15*p**3 + 54*p**2 - 9*p - 78. Let g(j) = 3*f(j) + s(j). Solve g(r) = 0.
-1, 5/3, 5
Let v(g) be the first derivative of g**6/18 + 74*g**5/15 - 19*g**4/3 - 74*g**3/9 + 25*g**2/2 + 3135. Solve v(r) = 0.
-75, -1, 0, 1
Let l = 1164 - 642. Factor 86*v + l*v + 4*v**3 - 1568 + 115*v + 104*v**2 - 163*v.
4*(v - 2)*(v + 14)**2
Let l = 8519/38322 - 1/12774. Find k, given that -2*k + l*k**2 + 28/9 = 0.
2, 7
Let x = -3937/770 - -51/10. Let m = 3/11 - x. Factor 0*t + 0 + 4/7*t**2 + m*t**3.
2*t**2*(t + 2)/7
Let f(g) = -24*g**2 - 25*g**2 - 1 + 75*g**2 + g - 28*g**2. Let p(i) = 4*i**2 + 11*i + 11. Let o(y) = f(y) + p(y). Determine w so that o(w) = 0.
-5, -1
Let i = -2079 + 2079. Let g(f) be the second derivative of -35/6*f**3 + 15/2*f**2 + i - 1/4*f**5 + 25/12*f**4 - 6*f. Factor g(z).
-5*(z - 3)*(z - 1)**2
Let i(s) be the third derivative of s**7/17640 + s**6/630 + s**5/120 + s**4/4 + s**3/6 + 45*s**2 - 2*s. Let w(p) be the second derivative of i(p). Factor w(z).
(z + 1)*(z + 7)/7
Let i(g) be the second derivative of 4/3*g**2 + 0 + 5/126*g**4 - 8/7*g**3 - 191*g. Factor i(t).
2*(t - 14)*(5*t - 2)/21
Let t be ((-138)/(-225))/2 + (-9)/15. Let k = 1/25 - t. Factor 1/3*q + 0 - k*q**3 + 0*q**2.
-q*(q - 1)*(q + 1)/3
Find v, given that -30*v + 0 - 3/7*v**4 - 261/7*v**2 - 54/7*v**3 = 0.
-10, -7, -1, 0
Let x be (314/(-7850))/(2/(-10)). Let u(i) be the first derivative of 1/10*i - 8/25*i**5 + x*i**4 + 1/2*i**3 - 2/5*i**2 + 2. Solve u(q) = 0.
-1, 1/4, 1
Let v be ((-2)/(-1) - 1)*(-96)/540. Let i = v + 77/180. Factor -1/4*l + i*l**4 + 1/4*l**3 - 1/4*l**2 + 0.
l*(l - 1)*(l + 1)**2/4
Let 1876*h**2 - h**4 + 8367*h**2 - 676 + 782*h**3 + 1300*h + 16*h**4 = 0. What is h?
-26, -1/3, 1/5
Let l(b) = 39*b**3 - 72*b**2 + 48*b - 3. Let g(r) = -r**3 - r**2 - 2*r. Suppose -25*i - 40 + 15 = 0. Let t(w) = i*l(w) - 3*g(w). What is m in t(m) = 0?
1/12, 1
Let s = -469756127/284 - -1654073. Let g = -27/71 + s. Factor -3/4 - g*l - 5/4*l**2 - 1/4*l**3.
-(l + 1)**2*(l + 3)/4
Let n(z) be the second derivative of 65*z - 1/42*z**4 + 0 + 2/7*z**2 - 1/21*z**3. Suppose n(d) = 0. What is d?
-2, 1
Let z(t) be the second derivative of -5/3*t**4 - 73*t + 79/20*t**5 + 0*t**2 + 0*t**3 - 38/15*t**6 - 2/21*t**7 + 0. Factor z(i).
-i**2*(i + 20)*(2*i - 1)**2
Let h = 92788/19089 + -10/2727. Determine g, given that h*g - 16/7 + 2/7*g**3 - 20/7*g**2 = 0.
1, 8
Let q(p) be the first derivative of -5*p**4/4 + 10*p**3 + 10*p**2 - 120*p + 66. Factor q(k).
-5*(k - 6)*(k - 2)*(k + 2)
Let h(i) be the second derivative of i**4/36 + 185*i**3/9 - 1483*i. Factor h(s).
s*(s + 370)/3
Let f(d) = 3*d**3 - 821*d**2 - 31084*d - 136896. Let q(o) = -8*o**3 + 1656*o**2 + 62169*o + 273791. Let p(v) = 9*f(v) + 4*q(v). Factor p(t).
-5*(t + 5)*(t + 74)**2
Let j(m) be the third derivative of m**7/210 + m**6/40 - m**5/12 - m**4/8 + 2*m**3/3 + 1153*m**2. Let j(s) = 0. What is s?
-4, -1, 1
Let j(t) = 1900*t + 3800. Let o be j(-2). Factor o + 0*p + 1/2*p**2 + 1/2*p**4 + p**3.
p**2*(p + 1)**2/2
Let a(j) be the first derivative of -j**4/16 - 135*j**3/2 - 164025*j**2/8 - 301. Factor a(k).
-k*(k + 405)**2/4
Let d = 78 - 76. Solve 17*a**4 + 3*a**4 - 20*a**d + 0*a**3 + 8*a - 8*a**3 = 0 for a.
-1, 0, 2/5, 1
Let a(m) be the third derivative of m**6/60 + 271*m**5/30 - 1097*m**4/12 + 275*m**3 - 37*m**2 + 17*m. Let a(d) = 0. What is d?
-275, 1, 3
Suppose 2 = a + a + 2*x, -4*x = a + 2. Factor 8 - 10*t + 36*t**a + 35*t**2 - 69*t**2.
2*(t - 4)*(t - 1)
Let a(y) be the first derivative of 1/2*y**6 - 2*y**3 + 9/2*y**2 - 262 + 6/5*y**5 + 0*y - 3*y**4. Solve a(u) = 0 for u.
-3, -1, 0, 1
Let v = 4255/41 + 159763/123. Solve -96 - 98/3*l**4 + 704*l + 1232/3*l**3 - v*l**2 = 0 f