(i) = 5*i**3 - 130*i**2 + 230*i - 110. Let f(m) = -m**2 - m + 1. Suppose 5*d = 5*n - 1 + 51, -3*d + 10 = n. Let b(t) = d*f(t) - u(t). Factor b(v).
-5*(v - 23)*(v - 1)**2
Solve -9/7*r**4 + 3*r**2 - 3/7*r**3 + 0*r - 12/7 + 3/7*r**5 = 0 for r.
-1, 1, 2
Let i be 10 + -3*(4 - (-7 - -9)). Let 24/11*a**2 - 12/11*a**3 + 2/11*a**i - 16/11*a + 0 = 0. Calculate a.
0, 2
Let a(m) be the second derivative of 7*m**4/12 - 82*m**3/3 + 69*m**2/2 + 5270*m. Factor a(p).
(p - 23)*(7*p - 3)
Let t(r) be the third derivative of -r**8/7392 - r**7/1980 + r**6/3960 + r**5/220 + 7*r**4/4 + 95*r**2. Let w(c) be the second derivative of t(c). Factor w(f).
-2*(f + 1)**2*(5*f - 3)/11
Suppose 2*z - 3*o - 893 = 0, -5*z + 1553 + 672 = -5*o. Let x be -10*1/(-2) + z. Let 447 - x - 5*a**4 + 30*a**3 = 0. Calculate a.
0, 6
Let w(z) be the third derivative of -47/28*z**4 + 0 - 2*z - 1/140*z**5 + 85*z**2 - 2209/14*z**3. Find x such that w(x) = 0.
-47
Let o(i) be the first derivative of -125/4*i**4 + 0*i + 4*i**5 + 69 - 25/2*i**2 + 130/3*i**3. Factor o(w).
5*w*(w - 5)*(w - 1)*(4*w - 1)
Let x(d) be the second derivative of d**7/147 - 16*d**6/105 + 48*d**5/35 - 128*d**4/21 + 256*d**3/21 - d + 99. Solve x(z) = 0.
0, 4
Let y be ((-335)/(-3))/((-5)/(-18)). Factor 55*b**5 + 68*b**3 - y*b**2 + 112*b**4 - 410*b**2 - 9*b**3 + 814*b**2.
b**2*(b + 1)**2*(55*b + 2)
Let f(u) be the first derivative of -5*u**4/4 - 140*u**3/3 - 1035*u**2/2 - 900*u + 724. Determine c so that f(c) = 0.
-15, -12, -1
Solve -1/4*o**3 - 5/4*o**2 - o + 0 = 0.
-4, -1, 0
Suppose -4*g - 12 = g + 3*c, -5*g + 2*c + 8 = 0. Suppose g = -6*b + 10 + 2. Factor -6*a - 9*a - 14*a**2 - 10 + 9*a**b.
-5*(a + 1)*(a + 2)
Let y = -28985 + 202897/7. Let a(k) be the first derivative of -2/35*k**5 + 4/7*k**2 + 41 - y*k**6 + 32/21*k**3 + 0*k + 17/14*k**4. Find z such that a(z) = 0.
-1, -2/3, -1/2, 0, 2
Let n(t) be the third derivative of -1/42*t**7 + 11/60*t**6 - t**2 - 2/3*t**3 + 0*t - 11/20*t**5 - 4 + 5/6*t**4. Let n(a) = 0. What is a?
2/5, 1, 2
Let b be (48/456 + 18/190)/((-792)/(-202620)). Factor -3/2 + 163/2*m**3 - b*m**2 + 29/2*m + 50/3*m**5 - 60*m**4.
(m - 1)**3*(10*m - 3)**2/6
Let a(c) = 27*c**2 + 4*c - 11. Let d be a(2). Suppose -100 = h - d. What is f in 2/3*f**4 + 2/3*f**h + 2/3*f - 4/3*f**3 - 4/3*f**2 + 2/3 = 0?
-1, 1
Let j(b) = 108*b**4 + 1057*b**3 + 49649*b**2 + 139375*b. Let t(s) = -38*s**4 - 352*s**3 - 16550*s**2 - 46458*s. Let c(g) = -6*j(g) - 17*t(g). Factor c(r).
-2*r*(r + 3)*(r + 88)**2
Factor -2416 - 2245 + 5093 - 96*t + 3*t**2 + 21*t.
3*(t - 16)*(t - 9)
Let i(o) be the third derivative of o**6/60 + 21*o**5/80 - 9*o**4/8 + 9*o**3 + 11*o**2 - 3*o. Let b(p) be the first derivative of i(p). Factor b(r).
3*(r + 6)*(4*r - 3)/2
Let h be 148/(-16)*-10*2. Find j such that 12 + 9*j + 362*j**2 - 180*j**2 - h*j**2 = 0.
-1, 4
Suppose 347 = -4*i + 407. Factor -k**4 - i*k**3 - 8*k**2 + 10*k**4 - 5*k**4 + 4*k**4 + 16*k - k**5.
-k*(k - 4)**2*(k - 1)*(k + 1)
Let l be -2 - (2/(6/(-15)) - -2). Let v = l - -10. Let 5*t**5 - 13*t**4 + 5*t**2 + 31*t**3 + 5*t**2 + 10 - 7*t**4 - 25*t - v*t**3 = 0. Calculate t.
-1, 1, 2
Let n = 228 - 223. Factor -70 + 143 + 24*s**3 - 73 - 3*s**n - 6*s**4.
-3*s**3*(s - 2)*(s + 4)
Suppose -183*w + 181438 - 181072 = 0. Solve -1/2 - 1/4*y - 1/4*y**4 + 3/4*y**w + 1/4*y**3 = 0 for y.
-1, 1, 2
Let x = 102 - 97. Let v(q) = 31*q - 22 - 16*q - x*q**2 - 33*q. Let r(p) = -21*p**2 - 72*p - 87. Let m(z) = -2*r(z) + 9*v(z). What is g in m(g) = 0?
-4, -2
Let u(a) be the second derivative of -3*a**5/80 + 103*a**4/8 - 10185*a**3/8 - 33075*a**2/2 - a - 3681. Determine m, given that u(m) = 0.
-4, 105
Let j(l) = -l**2 + l - 1. Let p(a) = -10*a**2 - 2578*a - 417322. Let y(s) = -6*j(s) + p(s). Suppose y(f) = 0. Calculate f.
-323
Let s(n) = -24*n**2 - 249*n - 126. Let f(o) = 3*o**2 + 63*o + 27. Let c be f(-20). Let m(q) = -3*q**2 - 31*q - 16. Let b(y) = c*m(y) + 4*s(y). Factor b(w).
3*(w + 1)*(w + 8)
Let p(r) = 9*r + 10. Let u be p(-2). Let j = u + 122/15. What is w in -2/5*w - 2/5*w**2 - 2/15 - j*w**3 = 0?
-1
Let b(v) = 8*v**3 + 194*v**2 + 1785*v - 4407. Let c(f) = 25*f**3 + 580*f**2 + 5355*f - 13220. Let r(h) = -10*b(h) + 3*c(h). Factor r(i).
-5*(i - 2)*(i + 21)**2
Suppose 23*l - 60 - 9 = 0. Factor 37 - 37 - 10*k + k**3 + 2*k**4 - 9*k**2 - 7*k**l - 9*k**2.
2*k*(k - 5)*(k + 1)**2
Find l, given that 103169*l**2 + 120 - 206397*l**2 + 103178*l**2 + 65*l + 5*l**3 = 0.
-1, 3, 8
Let p = 5728/17283 + 11/5761. Factor -108 - p*v**2 - 12*v.
-(v + 18)**2/3
Suppose 36*r + 1 - 73 = 0. Let p be r*((-306)/180 + 3 + -1). Factor 3 + 18/5*y + p*y**2.
3*(y + 1)*(y + 5)/5
Suppose -145*h - 550*h = -91*h + 148 - 752. Let c be 50/8 + (-1)/(-4). Suppose 7/2*r**2 - h + c*r = 0. What is r?
-2, 1/7
Let u be (3 - -2)*27/225. Let f(g) be the third derivative of 9*g**2 + 0 + 5*g**4 - 50/3*g**3 - u*g**5 + 0*g. Factor f(o).
-4*(3*o - 5)**2
Let l(u) be the second derivative of -u**7/1512 - 7*u**6/432 + u**5/9 + 13*u**4/12 + 29*u + 1. Let g(t) be the third derivative of l(t). Factor g(o).
-5*(o - 1)*(o + 8)/3
Suppose 13*l + 32 = 29*l. Let 87*o**3 + 649*o + 39*o**3 - 18*o**3 + 780*o**l + 5*o**4 - o**4 + 27*o = 0. What is o?
-13, -1, 0
Let k = 321652 + -321648. Factor 3/4*l**k + 9/4*l**3 - 3*l + 0*l**2 + 0.
3*l*(l - 1)*(l + 2)**2/4
Let a = -542 - -235. Let y = 3071/10 + a. Suppose -1/5*h + y + 1/10*h**2 = 0. What is h?
1
Let d(q) be the first derivative of q**4/10 - 58*q**3/15 + 72*q**2/5 + 4536*q/5 + 94. Find j, given that d(j) = 0.
-7, 18
Let g(q) be the first derivative of 1/4*q**4 + 10/3*q**3 + 16*q**2 + 14 + 32*q. Find l, given that g(l) = 0.
-4, -2
Let m(i) be the third derivative of 0*i + 0*i**3 - 1/60*i**6 + 0 + 0*i**4 + 1/30*i**5 - 36*i**2. Find z such that m(z) = 0.
0, 1
Suppose 5*g - 21 = -r, g + 3*r + 16 = 23. Let a(v) be the first derivative of -29 + 0*v**g + 0*v**2 - 4*v + 8/3*v**3 - 4/5*v**5. Factor a(c).
-4*(c - 1)**2*(c + 1)**2
Let b(v) be the third derivative of -3/200*v**5 + 11/60*v**3 + 23/240*v**4 + 0 - 67*v**2 - 1/1050*v**7 + 0*v - 23/1200*v**6. Find c such that b(c) = 0.
-11, -1, -1/2, 1
Let m be 4/(-6)*(-4)/6*9. Factor m*i**2 - 7*i**2 + 30*i + 481 - 2*i**2 - 506.
-5*(i - 5)*(i - 1)
Let s(p) = p**4 + 661*p**3 + 7245*p**2 - 7949*p + 7. Let i(v) = v**4 + 221*v**3 + 2415*v**2 - 2649*v + 2. Let b(a) = -7*i(a) + 2*s(a). Solve b(l) = 0 for l.
-23, 0, 1
Let q = 3699/7 - 541. Let b = q + 1172/91. Factor -2/13 - 2/13*i**2 + b*i.
-2*(i - 1)**2/13
Let -386/5*s**2 + 2/5*s**4 + 0 + 504/5*s - 24*s**3 = 0. What is s?
-4, 0, 1, 63
Let s(d) be the first derivative of 114*d**2 + 48*d**5 - 64*d**3 - 303/4*d**4 + 173 - 48*d + 25/2*d**6. Determine n so that s(n) = 0.
-4, -1, 2/5, 1
Let y(x) = 6*x**4 - 99*x**3 - 24*x**2 + 306*x - 198. Let f(w) = w**4 - 5*w**2 + w. Let g(u) = 3*f(u) - y(u). Factor g(i).
-3*(i - 33)*(i - 1)**2*(i + 2)
Suppose 4 = 7*j + 39. Let i be 36/4 + j - 2. Factor -2/7*c + 12/7 - 2/7*c**i.
-2*(c - 2)*(c + 3)/7
Let b(s) = s**5. Let m(g) = g**3 - g. Let p(r) = r**5 - r**4 + 2*r**3 - 2*r. Let w(z) = 2*m(z) - p(z). Let t(a) = 6*b(a) + 3*w(a). Let t(x) = 0. What is x?
-1, 0
Let g(f) be the first derivative of 7*f**2 + 53 + f**4 + 4*f + 16/3*f**3 - 1/3*f**6 - 4/5*f**5. Determine d, given that g(d) = 0.
-1, 2
Let j be 210/(-462) + 215/110. Factor 69*s**3 + 21/2*s**5 + 33/2*s + j + 51*s**2 + 87/2*s**4.
3*(s + 1)**4*(7*s + 1)/2
Let b = 718257/3710 + -1/3710. Suppose 2/5*k**2 + 88/5*k + b = 0. What is k?
-22
Determine d so that d**3 + 19600 + 2087*d + 1277*d - 136*d**2 + 1326*d - 350*d = 0.
-4, 70
Find w such that -82 + 1/2*w**2 - 163/2*w = 0.
-1, 164
Suppose -1164 = -3436*f + 2854*f. Let 16*z**3 + 4/3*z**4 - 56/3*z**f + 52/3 - 16*z = 0. What is z?
-13, -1, 1
Suppose -2*w**2 + 10*w + 24 + 4*w + 11*w + w**2 - 2*w = 0. Calculate w.
-1, 24
Find x, given that 404/17*x**4 - 2/17*x - 2/17*x**5 - 808/17*x**2 + 404/17 + 4/17*x**3 = 0.
-1, 1, 202
Let b(o) be the second derivative of o**5/15 + 22*o**4/9 - 34*o**3/3 - 48*o**2 - 253*o - 2. Factor b(l).
4*(l - 3)*(l + 1)*(l + 24)/3
Let u(p) = 34*p**3 - 1. Let v be u(4). Factor -v*t + 4*t**3 + 12*t**5 + 26*t**4 + 2175*t.
2*t**3*(t + 2)*(6*t + 1)
Let x(r) be the second derivative of -5*r**7/42 + 185*r**6/6 + 93*r**5/2 - 8205*r. Factor x(j).
-5*j**3*(j - 186)*(j + 1)
Suppose -792 = -3*f - 4779. Let p = -3985/3 - f. Let 0 + 