200 - 11*r**5/50 + 122*r**2 - 148. Let u(j) be the second derivative of y(j). Find m such that u(m) = 0.
-22, 0
Let d = 81 + -61. Let m be 20 - 25 - (-106)/d. Factor 2/5*j + 1/10*j**2 + m.
(j + 1)*(j + 3)/10
Let a = -153926 - -153926. Find j such that 0*j**3 + a - 1/2*j**4 - 1/4*j + 1/2*j**2 + 1/4*j**5 = 0.
-1, 0, 1
Let p be 6850/1575 - (328/144 - (50/(-4))/(-5)). Factor -12/7*r - p + 2/7*r**2.
2*(r - 8)*(r + 2)/7
Let c(n) = -130*n - 386. Let v be c(-3). Let m(w) be the third derivative of 0*w + 0 + 0*w**v + 1/20*w**5 + 0*w**3 + 1/40*w**6 - 14*w**2. Factor m(k).
3*k**2*(k + 1)
Let h(m) be the first derivative of m**7/21 - 3*m**5/10 + m**4/3 + 41*m + 3. Let g(b) be the first derivative of h(b). Suppose g(q) = 0. Calculate q.
-2, 0, 1
Let k(y) be the first derivative of y**4/4 + 52*y**3/3 + 384*y**2 + 2304*y + 541. Factor k(n).
(n + 4)*(n + 24)**2
Find w, given that -1031 - 7*w**3 - 2*w**3 + 2009*w + 85*w**2 - 204*w - 854 + 4*w**3 = 0.
-13, 1, 29
Find h such that 28/13*h - 54/13*h**2 + 2/13*h**3 + 48 = 0.
-3, 4, 26
Suppose -48/5*m + 222/5*m**2 + 0 - 27/5*m**3 = 0. What is m?
0, 2/9, 8
Let m = 9170 - 9168. Let d(k) be the third derivative of -11*k**m + 2/15*k**5 - 1/30*k**6 + 0*k + 0*k**3 + 0*k**4 + 0. Solve d(r) = 0.
0, 2
Let 55*b**3 + 0*b**4 + 325*b**2 - 3019*b - 6*b**4 + 3*b**4 - 2*b**4 + 2644*b = 0. What is b?
-5, 0, 1, 15
Suppose -2*f = -3*q - 5 + 17, -3*f - 8 = -2*q. Suppose 0 = 4*b - q*l + 4, 3*l - 18 + 15 = 0. What is g in -2*g**4 - 4/11*g**3 + 0*g + 0 + b*g**2 = 0?
-2/11, 0
Let v(t) = 2*t**2 - 2*t. Let z(s) = 5*s**2 - 549*s - 546. Let c(h) = -6*v(h) + 3*z(h). Let c(m) = 0. Calculate m.
-1, 546
Let g = 1/7342 - -2635775/22026. Let h = 2516/21 - g. Solve 192/7*c + 512/7 + 24/7*c**2 + h*c**3 = 0 for c.
-8
Let l(b) be the second derivative of b**6/105 - 13*b**5/70 + 16*b**4/21 + 16*b**3/3 - 384*b**2/7 + 137*b. Find d, given that l(d) = 0.
-3, 4, 8
Let z(x) be the second derivative of x**5/20 - x**4/8 - 14*x**2 + 24*x. Let v(h) be the first derivative of z(h). Suppose v(k) = 0. What is k?
0, 1
Let u(m) be the third derivative of -8*m**5 - 32/3*m**3 - 8/3*m**6 + 19*m**2 - 10/21*m**7 - 1/28*m**8 - 40/3*m**4 + 0*m + 0. Solve u(k) = 0 for k.
-2, -1/3
Let d(w) be the second derivative of 25/4*w**2 + 35/12*w**3 + 11/24*w**4 - 45*w - 1 + 1/40*w**5. Factor d(x).
(x + 1)*(x + 5)**2/2
Let x(t) be the first derivative of -t**4/18 + 40*t**3/27 - 77*t**2/9 - 196*t/9 - 308. Solve x(c) = 0 for c.
-1, 7, 14
Let b(z) be the first derivative of z**5/5 + 33*z**4/2 + 128*z**3/3 + 3907. Determine g so that b(g) = 0.
-64, -2, 0
Let q(w) be the second derivative of w**4/132 - 218*w**3/11 - 119*w**2/2 + 5580*w. What is g in q(g) = 0?
-1, 1309
Let w(c) = 2*c**2 - c + 1. Let f be w(3). Let k(i) = 3*i**3 - 4*i**2 - 12*i - 6. Let z be k(3). Factor -1 + 2*t**2 - f + z + 12*t.
2*(t - 1)*(t + 7)
Let c be (-138)/(-33) + (-4)/22. Suppose h = -4*i + 18, -4*i + 12 = c*h - 3*i. Find y, given that 2*y**h - 6*y**2 + 10*y + 9*y**2 = 0.
-2, 0
Find z, given that -33*z - 31*z - 88*z + 63*z**2 + 30*z**3 + 52*z + 32*z**2 = 0.
-4, 0, 5/6
Find y, given that 393*y**3 + 189*y - 19*y**2 + 60*y**4 - 461*y**3 - 124 + 117*y - 157*y**2 + 2*y**5 = 0.
-31, -2, 1
Let q(k) be the second derivative of k**4/20 - 17*k**3/30 + 11*k**2/5 + 84*k - 1. Factor q(p).
(p - 2)*(3*p - 11)/5
Let p(o) be the third derivative of o**6/420 - 5*o**5/42 + 31*o**4/42 + 88*o**3/21 + 160*o**2 - 2. Factor p(f).
2*(f - 22)*(f - 4)*(f + 1)/7
Let c(a) = -a**2 + 378*a + 41567. Let k be c(-89). Suppose 0*p**3 + 2/17*p**k + 64/17*p - 36/17*p**2 - 30/17 = 0. What is p?
-5, 1, 3
Let i = 3615 - 3610. Let d(t) be the third derivative of -605/6*t**3 + 7 + 0*t + 3*t**2 - 1/12*t**i + 55/12*t**4. Determine l, given that d(l) = 0.
11
Suppose 0 = 4*h - 3*m - 54, -28*h + 27*h = -4*m - 20. Factor 0*p**2 + 2*p**3 - 6*p**3 + h*p**2 + 0*p**3 - 2*p**2 - 4*p.
-2*p*(p - 2)*(2*p - 1)
Let u(i) = -3*i**2 - 44*i + 527. Let t(b) = 2*b**2 - b + 1. Let n(v) = -v**2 - 8*v - 13. Let x be n(-4). Let f(k) = x*u(k) + 6*t(k). Factor f(s).
3*(s - 23)**2
Let c = -697 + 866. Let z be (-74)/(-70) - (-1 + c/91). Determine h, given that -1/10*h**3 + 3/10*h**2 + 0 - z*h = 0.
0, 1, 2
Let z(o) be the third derivative of -o**5/150 + 1133*o**4/60 - 1132*o**3/15 + 11*o**2 + 153*o. Factor z(i).
-2*(i - 1132)*(i - 1)/5
Let t be ((-153)/(-3))/(38 + -37). Suppose 0 = t*b - 204 + 51. Solve 1/5*v**2 + 1/5*v**b + 0 - 1/5*v - 1/5*v**4 = 0.
-1, 0, 1
Suppose 3*s - 35 - 178 = 0. Let l(f) = f**2 - 31*f - 144. Let d be l(36). Factor 5*h + s*h**2 - 36*h**2 - 3*h - d*h**2.
-h*(h - 2)
Let t(u) be the second derivative of -87*u**5/80 + 2*u**4 - 3*u**3/8 + 491*u + 2. Suppose t(q) = 0. What is q?
0, 3/29, 1
Let f be (-26 + (18 - -4))*(4 + (-36)/8). Let 6/5*j**f - 8/5*j + 0 - 1/5*j**3 = 0. Calculate j.
0, 2, 4
Factor 0 - 4/5*q**3 - 12*q**2 - 56/5*q.
-4*q*(q + 1)*(q + 14)/5
Let b(q) be the second derivative of -25*q**7/14 - 1847*q**6 - 3415098*q**5/5 - 93951828*q**4 - 149232456*q**3 - 89321616*q**2 - 12016*q. Factor b(j).
-3*(j + 246)**3*(5*j + 2)**2
Let a(c) be the first derivative of 1/3*c**4 + 61 - 4/15*c**5 + 8/3*c**3 + 0*c**2 + 0*c. Factor a(l).
-4*l**2*(l - 3)*(l + 2)/3
Let z be 17/5*(-13 - 980/(-70)). What is q in -z*q - 1/5*q**2 - 6 = 0?
-15, -2
Suppose -2*l + 7 = -5*u, 7 = 4*l - 5*u - 12. Suppose 16*f**3 + 20*f**2 - l*f + 4*f**4 + 4*f + 10*f = 0. Calculate f.
-2, -1, 0
Suppose 0 = 2*v - 2*t - 2*t - 154, 2*t = 3*v - 235. Solve 106*p**2 + 12 - 8*p**3 - 33*p - 3*p**4 + 4*p**3 + p**3 - v*p**2 = 0 for p.
-4, 1
Let j(m) be the first derivative of -m**5/15 - 7*m**4/12 - 2*m**3/9 + 14*m**2/3 + 8*m - 754. Let j(z) = 0. What is z?
-6, -2, -1, 2
Factor -500/11 + 30/11*w + 2/11*w**2.
2*(w - 10)*(w + 25)/11
Find u, given that 10184/3*u + 6482116/3 + 4/3*u**2 = 0.
-1273
Let w be 41*(-4)/(-238) + (-81)/(35154/248). Factor 8/17 - w*i**2 + 0*i.
-2*(i - 2)*(i + 2)/17
Let k be 1 + -1 + (-2)/(-15). Let o = 42/7079 + 13948/35395. Factor o*d + k*d**2 + 4/15.
2*(d + 1)*(d + 2)/15
Let d(j) = -150*j. Let u be d(-1). Solve -u - 5*w**3 - 10*w**2 + 291 + 20*w - 149 + 3*w**4 = 0.
-2, 2/3, 1, 2
Let m(g) = g**3 - 110*g**2 - 851*g - 740. Let j(f) = 3*f**2 + f - 2. Let o(s) = 60*j(s) - 3*m(s). Factor o(i).
-3*(i - 175)*(i + 1)*(i + 4)
Let f be ((-78)/468)/(12/(-792)). Factor -112/3*t**2 + 14/3*t**4 + 64/3*t + 0 + f*t**3 + 1/3*t**5.
t*(t - 1)**2*(t + 8)**2/3
Let l(z) be the third derivative of z**5/140 - 45*z**4/56 + 208*z**3/7 + 167*z**2 - 18. Determine d, given that l(d) = 0.
13, 32
Let h be 1 + (-2)/(-7)*(5 + 2). Factor 5*t**h + 2*t - 6*t + 0*t**3 - 16*t.
5*t*(t - 2)*(t + 2)
Let p be 8 - (-595)/(-84) - (-3)/12*-2. Let n(h) be the second derivative of 15*h + p*h**4 - 5/3*h**3 + 5/2*h**2 + 0. Factor n(m).
5*(m - 1)**2
Let -6*p**4 + 2392353*p - 34848 - 2306289*p - 32216*p**2 - 2*p**4 - 1036*p**3 = 0. Calculate p.
-66, 1/2, 2
Factor 0 + 1/3*t**3 - 2/3*t**2 + 1/3*t.
t*(t - 1)**2/3
Let d be (-1 + 6/4)/(7/42). Let x(r) = 2*r - 3. Let k be x(d). Factor 2*o**3 + 4*o**4 - o**k - o**3.
4*o**4
Suppose -980 = -38*s + 464. Let v(h) be the first derivative of s + 2/3*h**3 - 1/4*h**4 - 2*h + 1/2*h**2. Factor v(l).
-(l - 2)*(l - 1)*(l + 1)
Let l(y) be the second derivative of -2/3*y**4 - 1/10*y**5 + 0*y**2 - y**3 - y + 72. Determine f so that l(f) = 0.
-3, -1, 0
Let i(o) be the first derivative of o**6/3 - 56*o**5/5 - 29*o**4/2 + 43. Factor i(n).
2*n**3*(n - 29)*(n + 1)
Let s(j) be the third derivative of -j**8/151200 + j**7/37800 + j**6/270 - 31*j**5/15 - j**2 + 5*j. Let h(l) be the third derivative of s(l). Factor h(p).
-2*(p - 5)*(p + 4)/15
Let t(u) be the first derivative of -u**4/32 - 11*u**3/4 - 63*u**2/4 - 31*u - 1559. Determine w, given that t(w) = 0.
-62, -2
Let k be ((7 + (-49)/7)/(-2))/((-209)/19 - -9). Solve 0 - 5/7*p**3 - 1/7*p**4 + 0*p + k*p**2 = 0 for p.
-5, 0
Suppose 39*a = 151 + 317. Let c(m) be the first derivative of 4/3*m**3 - a*m**2 + 8 + 36*m. Find o such that c(o) = 0.
3
Factor 4/3*q**2 + 40*q + 116/3.
4*(q + 1)*(q + 29)/3
Let v(a) be the second derivative of -25/2*a**3 - 5*a**2 - 30*a + 0 + 5/6*a**4 + 30*a**5. Suppose v(f) = 0. What is f?
-1/4, -1/6, 2/5
Let m = 79 + -84. Let w be -1 + (m - 148/(-20)) + -1. Let 12/5*b**2 - 18/5*b - w*b**3 + 8/5 = 0. Calculate b.
1, 4
Let c(a) be the second derivative